Best Buy had a sale on iPads last week. 16GB iPad ‘s were on sale for $50 and 64GB iPad’s were on sale for $79. The receipts from the sale of 36 iPads totaled $2409. How many of each type of iPad were sold last week?

Answers

Answer 1

Answer:

So 15 of 16GB iPad and 21 of 64GB iPad was sold

Step-by-step explanation:

Let 16GB iPad= x

Let 64GB iPad= y

Total iPad= 36

Cost of x = $50

Cost of y = $79

Total sales amount= $2409

So let's form the equation.

X + Y = 36. ...... equation 1

50x + 79y = 2409..... equation 2

X + Y = 36

50x + 79y = 2409

X = 36-y

50(36-y) +79y =2409

1800- 50y +79y =2409

79y-59y= 2409-1800

29y= 609

Y= 609/29

Y= 21

X= 36-y

X= 36-21

X= 15

So 15 of 16GB iPad and 21 of 64GB iPad was sold


Related Questions

What is the slope of the line shown?
Slope=-1/2
Slope =7
Slope=2
Slope=-2

Answers

Answer:

-2

Step-by-step explanation:

To find the slope: Rise/Run

You go 2 steps down for every step you go right.

Your rise is -2 and your run is 1.

So your slope is -2.

Answer:

-2

Step-by-step explanation:

Get two points that intersect that line.

(1, 5) and (2, 3)

Find the rise and run.

As we can see to get from (1,5) to (2,3), we have to go to the right by 1 and go down by 2 (in this case the movement is -2 steps).

rise/run

-2/1 = -2

two lines, 3y-2x=21 and 4y+5x=5, intersect at the point Q. find the coordinates of Q.​

Answers

Answer:

Q = (- 3, 5 )

Step-by-step explanation:

Given the 2 equations

3y - 2x = 21 → (1)

4y + 5x = 5 → (2)

Multiplying (1) by 5 and (2) by 2 and adding will eliminate the x- term.

15y - 10x = 105 → (3)

8y + 10x = 10 → (4)

Add (3) and (4) term by term to eliminate x

23y = 115 ( divide both sides by 23 )

y = 5

Substitute y = 5 into either of the 2 equations and solve for x

Substituting into (2)

4(5) + 5x = 5

20 + 5x = 5 ( subtract 20 from both sides )

5x = - 15 ( divide both sides by 5 )

x = - 3

Solution is (- 3, 5 )

The board of directors of Midwest Foods has declared a dividend of $3,500,000. The company has 300,000 shares of preferred stock that pay $2.85 per share and 2,500,000 shares of common stock. After finding the amount of dividends due the preferred shareholders, calculate the dividend per share of common stock.

Answers

Answer:

$1,06

Step-by-step explanation:

Calculation for dividend per share of common stock for board of directors of Midwest Foods

First step is to find the amount of dividends due to the preferred shareholders

Using this formula

Total Dividend =Dividend- (Preferred stock *Per share of preferred stock )

Let plug in the formula

Total Dividend =$3,500,000-($300,000*$2.85)

Total Dividend =$3,500,000-$855,000

Total Dividend =$2,645,000

The second step is to find Dividend per share of common stock

Using this formula

Dividend per share of common stock=Total dividend/Shares of common stock

Let plug in the formula

Dividend per share of common stock=$2,645,000/$2,500,000

Dividend per share of common stock=$1.06

Therefore the dividend per share of common stock for board of directors of Midwest Foods will be $1.06

There are 60 people at the subway station 12 of them jumped the
turnstile. What percentage of people jumped the turnstile? What
percentage of people paid?​​

Answers

Answer:

20% of people jumped the turnstile, 80% of people paid

Step-by-step explanation:

Percentage is a ratio of one part to another part which it is a member of.

In this scenario, we are given that 12 out of 60 people did not pay as they jumped the turnstile; to calculate this as a percentage, we can simply divide 12 by 60 to find the decimal value of 0.2; when 0.2 is converted to a value out of 100, we find that it gives us 20% (0.2/1=x/100, x=0.2*100, x=20)

Assuming everyone else pays, and by taking the complementary members of the total group, we find that 80% of people will have paid.

Let x be a variable, and let n be an arbitrary constant. What is the derivative of x^n?​

Answers

Answer:

nx^(n-1)

Step-by-step explanation:

–25(r − 989) = 175 r = _______

Answers

Answer:

r = 982

Step-by-step explanation:

[tex]-25(r-989)=175\\-25r+24725=175\\-25r=-24,550\\25r=24,550\\r=982[/tex]

Graph the system of linear inequalities. Please help!

Answers

Answer:  Third option is correct

Step-by-step explanation:  The y-intercepts match the constants (b in y=mx+b format)   The y-values shaded above the line y≥2x+4 are correct. The y-values shaded in the region below the  y≤2x -2 are also correct.

To compare the production techniques used by foreign and local firms in Brazil, a random sample of 80 foreign firms and a random sample of 80 local firms are selected.This study uses_________ design

Answers

Answer:

An independent sample.

Step-by-step explanation:

In this scenario, to compare the production techniques used by foreign and local firms in Brazil, a random sample of 80 foreign firms and a random sample of 80 local firms are selected. We can safely conclude that this study uses an independent sample design.

An independent sample design can be defined as a research method that usually involves the use of multiple experimental groups (two or more). The samples or participants are only in one group and as such each group has no relationship with the other. This simply means that, the samples in a particular group is having no relationship with the other samples in another group.

Ultimately this implies, each samples are independent and satisfies only one condition of the independent sample design during the experiment to compare the production technique used by foreign and local firms in Brazil.

Hence, the researcher would use only two variables or conditions: a random sample of 80 foreign firms and a random sample of 80 local firms are selected.

Factorise x²+5x−6 the options are

(x+2)(x+3)

(x−1)(x+6)

(x+1)(x−6)

(x−2)(x+3)

Answers

Answer:

(x-1)(x+6)

Step-by-step explanation:

=> [tex]x^2+5x-6[/tex]

Using mid-term break formula to find it's factors

=> [tex]x^2+6x-x-6[/tex]

=> x(x+6)-1(x+6)

Taking x+6 common

=> (x-1)(x+6)

Find measure of arc or angle indicated

Answers

Should be 23 degrees

Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustain-ability perspective, PHB offers many attractive proper-ties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in the article "The Melting Behaviour of Poly(3-1-1ydroxybutyrate) by DSC. Reproducibility Study" (Polymer Testing, 2013: 215-220).

180.5 181.7 180.9 181.6 182.6 181.6

181.3 182.1 182.1 180.3 181.7 180.5

Compute the following:

a. The sample range

b. The sample variance S2 from the definition (Hint: First subtract 180 from each observation.]

c. The sample standard deviation

d. S2 using the shortcut method

Answers

Answer:

(a) 2.3

(b) 0.5245

(c) 0.7242

(d) 0.5245

Step-by-step explanation:

The data provided is:

S = {180.5, 181.7, 180.9, 181.6, 182.6, 181.6,  181.3, 182.1, 182.1, 180.3, 181.7, 180.5}

(a)

The formula to compute the sample range is:

[tex]\text{Sample Range}=\text{max.}_{x}-\text{min.}_{x}[/tex]

The data set arranged in ascending order is:

S' = {180.3 , 180.5 , 180.5 , 180.9 , 181.3 , 181.6 , 181.6 , 181.7 , 181.7 ,, 182.1 , 182.1 , 182.6}

The minimum value is, 180.3 and the maximum value is, 182.6.

Compute the sample range as follows:

[tex]\text{Sample Range}=\text{max.}_{x}-\text{min.}_{x}[/tex]

                       [tex]=182.6-180.3\\=2.3[/tex]

Thus, the sample range is 2.3.

(b)

Compute the sample variance as follows:

[tex]S^{2}=\frac{1}{n-1}\sum(x_{i}-\bar x)^{2}[/tex]

     [tex]=\frac{1}{12-1}\times [(180.5-181.41)^{2}+(181.7-181.41)^{2}+...+(180.5-181.41)^{2}]\\\\=\frac{1}{11}\times 5.7692\\\\=0.524473\\\\\approx 0.5245[/tex]

Thus, the sample variance is 0.5245.

(c)

Compute the sample standard deviation as follows:

[tex]s=\sqrt{S^{2}}[/tex]

  [tex]=\sqrt{0.5245}\\\\=0.7242[/tex]

Thus, the sample standard deviation is 0.7242.

(d)

Compute the sample variance using the shortcut method as follows:

[tex]S^{2}=\frac{1}{n-1}\cdot [\sum x_{i}^{2}-n(\bar x)^{2}][/tex]

     [tex]=\frac{1}{12-1}\cdot [394913.57-(12\times (181.41)^{2}]\\\\=\frac{1}{11}\times [394913.57-394907.80]\\\\=\frac{5.77}{11}\\\\=0.5245[/tex]

Thus, the sample variance is 0.5245.

c. Let us assume that x has a distribution that is approximately normal. What is the probability that x is between $12 and $18

Answers

Answer:

0.0066

Step-by-step explanation:

The x has a distribution that is approximately normal. For normal distribution the probability of x will be,

u = 12 and 18

P (12 [tex]\leq[/tex] [tex]x[/tex] [tex]\leq[/tex] 18)

P (- 2.3  [tex]\leq[/tex] [tex]x[/tex] [tex]\leq[/tex] 2.85 )

P (0.9912 - 0.9978)

= 0.0066

To decide whether two different types of steel have the same true average fracture toughness values, n specimens of each type are tested, yielding the following results.

Type Sample Average Sample SD
1 60.7 1.0
2 60.5 1.0

Required:
a. Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n = 100. (Round your answer to four decimal places.)
b. Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n = 500. (Round your answer to four decimal places.)
c. Is the small P-value for n = 500 indicative of a difference that has practical significance

Answers

Answer:

a. P-value = 0.1589

b. P-value = 0.0016

Step-by-step explanation:

a. This is a hypothesis test for the difference between populations means.

The claim is that the two types of steel have different true average fracture toughness values.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0[/tex]

The significance level is α=0.05.

The sample 1, of size n1=100 has a mean of 60.7 and a standard deviation of 1.  The sample 2, of size n2=100 has a mean of 60.5 and a standard deviation of 1.

The difference between sample means is Md=0.2.

[tex]M_d=M_1-M_2=60.7-60.5=0.2[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{1^2+1^2}{100}}\\\\\\s_{M_d}=\sqrt{\dfrac{2}{100}}=\sqrt{0.02}=0.1414[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.2-0}{0.1414}=\dfrac{0.2}{0.1414}=1.4142[/tex]

The degrees of freedom for this test are:

[tex]df=n_1+n_2-2=100+100-2=198[/tex]

This test is a two-tailed test, with 198 degrees of freedom and t=1.4142, so the P-value for this test is calculated as (using a t-table):

[tex]P-value=2\cdot P(t>1.4142)=0.1589[/tex]

As the P-value (0.1589) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the two types of steel have different true average fracture toughness values.

b. As the sample size changes, the standard error and the degress of freedom change.

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{1^2+1^2}{500}}\\\\\\s_{M_d}=\sqrt{\dfrac{2}{500}}=\sqrt{0.004}=0.0632[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.2-0}{0.0632}=\dfrac{0.2}{0.0632}=3.1623[/tex]

The degrees of freedom for this test are:

[tex]df=n_1+n_2-2=500+500-2=998[/tex]

This test is a two-tailed test, with 998 degrees of freedom and t=3.1623, so the P-value for this test is calculated as (using a t-table):

[tex]P-value=2\cdot P(t>3.1623)=0.0016[/tex]

As the P-value (0.0016) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the two types of steel have different true average fracture toughness values.

A shipment of 60 inexpensive digital watches, including 9 that are defective,is sent to a department store.The receiving department select's 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective.What is the probability that the shipment will be rejected?

Answers

Answer:  0.627 or 62.7 %

Step-by-step explanation:

The probability that shipment will be rejected P(rejected) = 1- probability that shipment will be accepted.

P(rejected)= 1-P(accepted)

P(accepted) is equal to probability when all 10 watches are not defective.

The probability that 1st one randomly selected watches are not defective is 51/60  (51 watches are not defective and 9 are defective)

The probability that 2-nd one randomly selected watches are not defective is  50/59 ( because the total number of the watches now is 1 unit less 60-1=59, and the total number of not defective watches is 1 unit less 51-1=50 units)

The probability that 3rd one randomly selected watches are not defective is 49/58  (49 watches are not defective total number of watches is 58)

Similarly P(4th)= 48/57  P(5th)=47/56   P(6th)=46/55  P(7th)=45/54

P(8th)=44/53  P(9th)=43/52  P(10th)=42/51

So P(accepted)= P(1st)*P(2nd)*P(3rd)*P(4th)*P(5th)*P(6th)*P(7th)*P(8th)*P(9th)*P(10th)=

=51*50*49*48*47*46*45*44*43*42/(60*59*58*57*56*55*54*53*52*51)=

= approx= 0.373

So P(rejected)=1-0.373=0.627

listed below are costs in dollars of round trip flights between two cities. All flights involve one stop and a two week stay. Find a coefficient of variation for each of the two sets of data, then compare the variation.
30 days in advance: 250 286 305 256 288 282 254
1 day in advance: 454 619 557 912 619 1049 562
The coefficient of variation for the prices of tickets purchased 30 days in advance is ____% (round to the three decimal places as needed)

Answers

Answer:

coefficient of variation = 7.108%

Step-by-step explanation:

From the given information:

The objective is to determine the  coefficient of variation for the prices of tickets purchased 30 days in advance is ____%

The mean [tex]\overline x[/tex] = [tex]\dfrac{250+286+305+256+288+282+254}{7}[/tex]

The mean [tex]\overline x[/tex] = [tex]\dfrac{1921}{7}[/tex]

The mean [tex]\overline x[/tex] = 274.4285714

The standard deviation also can be computed as follows:

[tex]\sigma =\sqrt{ \dfrac{\sum (x_i-\mu)^2}{N}}[/tex]

[tex]\sigma =\sqrt{ \dfrac{ (250-274.43)^2+(286-274.43)^2+(305-274.43)^2+...+(254-274.43)^2}{7}}[/tex][tex]\sigma =19.507[/tex]

Finally; the coefficient of variation can be calculated with the formula:

coefficient of variation = [tex]\dfrac{\sigma}{\overline x}[/tex]

coefficient of variation = [tex]\dfrac{19.507}{274.43}[/tex]

coefficient of variation = 0.07108

coefficient of variation = 7.108%

finding angle measures between intersecting lines

Answers

Answer:

[tex]\boxed{<x = 17 degrees}[/tex]

Step-by-step explanation:

<EGB = 73 degrees (Vertically Opposite angles are congruent)

=> <x = 90-<EGB (Complementary angles)

=> <x = 90-73

=> <x = 17 degrees

A set of data is summarized by the stem and leaf plot below.

Steam Leaf
1 0 0 2 4 4 4 7 8 8 8 8 9
2 2 2 5 5 7 8
3 3 4 4 5 5 5 6 6 6 7 9 9
4 3 3 3 5 5 7 9

a. There are _____ values in the data set which are greater than or equal to 10 and less than or equal to 19.
b. There are _____ values in the data set which are greater than or equal to 30 and less than or equal to 39.
c. There are ____ values in the data set which are greater than or equal to 40 and less than or equal to 49.

Answers

Answer:

(a) There are 12 values in the data set which are greater than or equal to 10 and less than or equal to 19.

(b) There are 12 values in the data set which are greater than or equal to 30 and less than or equal to 39.

(c) There are 7 values in the data set which are greater than or equal to 40 and less than or equal to 49.

Step-by-step explanation:

We are given a set of data that is summarized by the stem and leaf plot below;

Steam Leaf

1  0 0 2 4 4 4 7 8 8 8 8 9

2  2 2 5 5 7 8

3  3 4 4 5 5 5 6 6 6 7 9 9

4  3 3 3 5 5 7 9

This shows that the data values are: 10, 10, 12, 14, 14, 14, 17, 18, 18, 18, 18, 19, 22, 22, 25, 25, 27, 28, 33, 34, 34, 35, 35, 35, 36, 36, 36, 37, 39, 39, 43, 43, 43, 45, 45, 47, 49.

(a) From the data above, the number of values in the data set which are greater than or equal to 10 and less than or equal to 19 is 12, i.e; 10, 10, 12, 14, 14, 14, 17, 18, 18, 18, 18, 19.

(b) From the data above, the number of values in the data set which are greater than or equal to 30 and less than or equal to 39 is 12, i.e; 33, 34, 34, 35, 35, 35, 36, 36, 36, 37, 39, 39.

(c) From the data above, the number of values in the data set which are greater than or equal to 40 and less than or equal to 49 is 7, i.e; 43, 43, 43, 45, 45, 47, 49.

Answer:5,9

Step-by-step explanation:

Find S9 for the geometric sequence: an=2∙5n−2 Please show work

Answers

Answer:

I guess that the geometric sequence is:

An = 2*5^(n - 2)

we usually have that that a geometric sequence is something like:

A*r^n.

so i will write the first two terms of our sequence separated, and i will calculate the summation of the first seven terms after n = 2.

A0 = 2*5^(-2) = 2/25

A1 = 2*5^-1 = 2/5

Then, the sum for a geometric sequence is:

SN = A(1 - r^N)/(1 - r)

in this case, A = 2 and r = 5, and i will use N = 7 for the sequence 2*5^n

S7 = 2*(1 - 5^7)/(1 - 5) = 39,062.

now we add the first terms that we obtained before and get:

S9 = 2/25 + 2/5 +  39,062 = 39,062.48

A linear function has a slope of -7/9 and ay-intercept of 3. How does this function compare to the linear function that is
represented by the equation y+11=-7/9(x-18)?
It has the same slope and the same y-intercept.
It has the same slope and a different y-intercept.
It has the same y-intercept and a different slope.
O It has a different slope and a different y-intercept.

Answers

Answer:

same slope and same y intercept

Step-by-step explanation:

y + 11 = -7/9 (x - 18)

y + 11 = -7/9x + 14

y = -7/9x + 3

simplify: 3^4 x 2^0 x 6^1
A. 0
B. 486
C. 972
D. 81

Answers

Answer:

B. 486

Step-by-step explanation:

3^4 = 3 × 3 × 3 × 3 = 81

2^0 = 1

6^1 = 6

Find the product.

81 × 1 × 6

= 486

Answer:

option B; 486

Step-by-step explanation: 3 raised to the power 4 can be written as 3*3*3*3, 2 raised to 0 is 1( any number raised to to the power 0 is 1), 6 raised to 1 is the number itself( means that 6 is only repeated or mentioned once).

so, 3*3*3*3*1*6=486

Suppose you were told that a 98% confidence interval for the population mean of mpg of a hybrid car was (22, 38). Determine the point estimate for this population mean.

Answers

Answer:

The point estimate for the mean mpg of hybrid cars is 30 mpg.

Step-by-step explanation:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

In this problem, we have that:

Lower bound: 22

Upper bound: 38

Point Estimate:

(22 + 38)/2 = 30

The point estimate for the mean mpg of hybrid cars is 30 mpg.

How many feet of chain fence are necessary to enclosed a dog pen that is square and has a area of 64 sq feet

Answers

Answer:

32 feet

Step-by-step explanation:

area of square is given by side^2

Perimeter of  square is given by 4*side

_______________________________

Given

area of square = 64 sq feet

side^2 = 64

side^2 = 8^2

side = 8

thus side = 8 feet

_______________________________________

The dog pen is fenced with chain, hence chain will be fence at the edge of square and at the perimeter.

Thus, length of chain required will be same as the Perimeter of  square.

Perimeter of given dog pen with side length 8 feet = 4*8 = 32 feet.

Thus, 32 feet of chain fence is required.

What do you go by for the pattern 360,60,10 would it be add 60, divided by 6 ,multiply by 6 or subtract 300?

Answers

Answer:

divided by 6

Step-by-step explanation:

Given pattern

360,60,10

would it be add 60

lets

add 60 to each term

360 +60 = 420

but next term is 60, hence it incorrect choice

divided by 6

lets divide each term by 6

360/6 = 60 which is the next term in the series as well

60/6 = 10 which is also the next term in the series as well

hence divided by 6 is the correct option.

multiply by 6

multiply by 6 to each term

360 *60 = 21600

but next term is 60, hence it incorrect choice

subtract 60 from each term

360 -300 = 60 which is the next term in the series

60 -300 = -240 which is not same the next term in the series that is 10

hence this is incorrect choice

round to the nearest hundredth: 2.0625

Answers

Answer: 2.06

Step-by-step explanation:

Remember if the number is greater than 5 round up, if it is less than 5 don't round up.

After round off the number 2.0625 to its nearest hundredth, it is 2.06.

When we round to the nearest hundredth, we follow the rule that says:

If the digit in the thousandths place is less than 5 we round down the hundredths place.If the digit in the thousandths place is greater than 5, we round up the hundredths place.

The given number is 2.0625

In this number, the thousandth digit is 2 that is less than 5.

So we round down the hundredth place. The hundredth digit is 6 which remain 6 after rounding down.

So, the rounded number will be 2.06.

Hence, when we round 2.0625 to its nearest hundredth, it will be 2.06.

Learn more about round off the numbers here:

https://brainly.com/question/30453145

#SPJ6

9) brainliest & 10 + points!

Answers

Answer:

no supplement

Step-by-step explanation:

Supplementary angles add to 180 degrees,

This angle is larger than 180 degrees by itself, so it has no supplement

In a certain city, 80% of the residents like coffee or tea . 30% of them like coffee. 60%

percent of them like tea. What is the probability of residents like (a) both? (b) tea but not

coffee? (c) only coffee (d) neither tea nor coffee ?​

Answers

Answer:

a =10% b=50% c=20% d=20%

Step-by-step explanation:

n(CuT)=n(C)+n(T)-n(CnT)

so n(CnT)=10%

for b

tea but not coffee =nonly(T)

=n(T)-n(TnC)

=50%

for c

only coffee=nonly(C)

=n(C)-n(CnT)

=20%

Mari Seni works exactly 40 hours in a 5-day work week. She worked 6 1/2 hours on Monday, 8 3/4 hours on Tuesday, 6 5/6 hours on Wednesday, and 10 1/4 hours on Thursday. How many hours must Mari work on Friday.​

Answers

Answer:

gdk

Step-by-step explanation:

to prove triangleABC is isosceles, which of the following statements can be used in the proof?
(idk the answer)

Answers

Answer:

Step-by-step explanation:

An isosceles triangle is a triangle in which two of its sides are equal. This also means that in the triangle, two angles are equal. The angles are usually the base angles. Looking at the given triangle ABC, the base angles are angle Angle A and Angle B, thus angle A = ang B

Therefore, the statement that can be used in the proof is

Angle CAB = angle CBA

Find the gradient of the line segment between the points (4,-4) and (0,-12).

Answers

Answer: 2

Step-by-step explanation:

The equation for slope is change in y / change in x, which is (-4-(-12))/(4-0) in this case. That is equal to 2.

The gradient of the line segment between the points (4,-4) and (0,-12) is 2.

We have to determine, the gradient of the line segment between the points (4,-4) and (0,-12).

The gradient and slope of the line segment between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by the following formula;

The gradient of the line segment = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Then, the gradient of the line segment between the points (4,-4) and (0,-12) is,

[tex]= \dfrac{-12-(-4)}{0-4}\\\\= \dfrac{-12+4}{-4}\\\\= \dfrac{-8}{-4}\\\\= 2[/tex]

Hence, The required gradient of the line segment between the points (4,-4) and (0,-12) is 2.

To know more about Slope click the link given below.

https://brainly.com/question/19072709

Multiply: (−2x2 + 9x − 3) * (7x2 − 4x + 2)

Answers

Answer:

[tex]-14x^4+71x^3-61x^2+30x-6[/tex]

Step-by-step explanation:

All we are doing is distributing each number of the 1st equation to the 2nd equation to get our answer. Once we do so, we combine like terms and we get our answer.

Other Questions
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