14
What would be the slope of equation #1 in the following system? (Graphing)
2x+3y=12
4x-3y=15
(Worth 10 points )
A:1/2
B: -1
C:3/4
D:-2/3

Answers

Answer 1

Answer:

[tex]m = -\frac{2}{3}[/tex]

Step-by-step explanation:

Given

[tex]2x+3y=12[/tex]

[tex]4x-3y=15[/tex]

Required

Slope of #1

[tex]2x+3y=12[/tex]

Make y the subject

[tex]3y = -2x + 12[/tex]

Divide through by 3

[tex]y = -\frac{2}{3}x + \frac{12}{3}[/tex]

[tex]y = -\frac{2}{3}x + 4[/tex]

An equation has the form:

[tex]y = mx + c[/tex]

Where

[tex]m = slope[/tex]

Compare [tex]y = mx + c[/tex] and [tex]y = -\frac{2}{3}x + 4[/tex]

[tex]m = -\frac{2}{3}[/tex]

Hence, the slope is [tex]-\frac{2}{3}[/tex]


Related Questions

The radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error (in cm2) in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error

Answers

7 and 0.2 s the answer 723

It’s me again guys!! Can anyone help me please?

Answers

(5-9)^2 - [5-9]
=(-4)^2 - [-4]
=(16) + 4
=20

(two negatives=positive)

2.5
pocket money in the ratio 6:5. Calculate Jannie's adjusted monthly pocket money.
Khaya is delivering groceries to his mother who stays 8km from the shop. How long will it take him
to cover this distance if he drives at an average speed of R65km/h? Give your answer rounded to the
nearest minute.

Answers

Answer:

pzie6zkezkzorzozirusultaluspuar

I need help on how to do this

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) A system of equations has no solutions when the graphs of those equations do not intersect. If the equations are equations of a line, then the lines must be parallel in order for them not to intersect.

Any parallel line will do.

__

b) There is one solution when the graphs intersect in exactly one point.

Any line that crosses the one shown will do.

__

c) There are infinite solutions when the graphs describe the same curve.

A line overlapping the one shown is the one you want.

A scientist measured a museum specimen. She recorded the measurement as 75 centimeters. What could the scientist have been measuring? length of a dinosaur bone
mass of a dinosaur bone
length of a gem
mass of a gem​

Answers

Answer:

75cm is the measurment

Step-by-step explanation:

It would have had to have been the lenght of the gem because 75cm or 75 centimeters is a measurment not the mass of something. The mass is the amount of matter in an object.

Find the area of a triangle ABC when m is less than C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.

Answers

Answer:

[tex]Area =6.41mi^2[/tex]

Step-by-step explanation:

Given

[tex]a = 5.7[/tex]

[tex]b = 9.3[/tex]

[tex]c = 14^\circ[/tex]

Required

The area of the triangle

This is calculated as:

[tex]Area =\frac{1}{2}* a * b * sin(c)[/tex]

So:

[tex]Area =\frac{1}{2}* 5.7 * 9.3 * sin(14)[/tex]

[tex]Area =\frac{1}{2}* 5.7 * 9.3 * 0.2419[/tex]

[tex]Area =6.41mi^2[/tex]

Answer:

The answer is 6.41!

Step-by-step explanation:

I took the test and this is correct

Find the perimeter of quadrilateral ABCD. The side lengths are A (-3, 4), B (5, 4), C (5,-4), and D (-3, -4).

Answers

Answer:

32

Step-by-step explanation:

each line segment's distance is 8 (count them)

4 * 8 = 32

Given that z is a standard normal random variable, find z for each situation (to 2 decimals).
A. The area to the right of z is 001.
B. The area to the right of z is 0.045.
C. The area to the right of z is 0.05.
D. The area to the right of z is 0.2.

Answers

Answer:

a) Z = 2.33

b) Z = 1.7

c) Z = 1.65.

d) Z = 0.84.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is also the area to the right of z.

A. The area to the right of z is 0.01.

Z has a pvalue of 1 - 0.01 = 0.99. So Z = 2.33.

B. The area to the right of z is 0.045.

Z has a pvalue of 1 - 0.045 = 0.955. So Z = 1.7

C. The area to the right of z is 0.05.

Z has a pvalue of 1 - 0.05 = 0.95. So Z = 1.65.

D. The area to the right of z is 0.2.

Z has a pvalue of 1 - 0.2 = 0.8. So Z = 0.84.

HELP PLEASE HURRY!!! NO SPAM!!!!
Identify the area of the figure

Answers

Which figure where is the figure

Need help ASAP!!!!!!!!!!

Answers

Answer:

the last two

Step-by-step explanation:

A tabletop in the shape of a trapizoid has an area 8607 square centimeters. its longer base measures 123 centimeters, and the shorter base is 105 centimeters what is the height?​

Answers

Answer:

286.94 cm

Step-by-step explanation:

Data:

             Area = 8,607

             b1 = 105

             b2 = 123

      Area = 1/2 * (b1 + b2) * h

      h = 2 * Area/b1 + b2

      h = 2 * 8,607/105 + 123

     h = 286.94 cm

I'm not sure if it's right but that's what my calculator gave me.

What is the answer to: 1 1/4 + (2×3) + 2 2/6+ (2 5/6 × 2) + 3?​

Answers

Answer:

The answer is 19.75

Step-by-step explanation:

You multiply the one in the brackets first

Veronica can hit a bucket of 144 golf balls in 2 hours. how many golf balls can Veronica hit in 5 hours​

Answers

Answer:

360

Step-by-step explanation:

144/2=72

5×72=360

...........


After sales tax, a $96 watch costs
$101.28. What is the sales tax
percentage?

A:6.2%
B:5.5%
C:5.2%
D:8.5%

Answers

101.28-96 = 5.28
5.28/96 = 0.055
0.055 x 100% = 5.5%

Help I need help with this algebra.

Answers

Answer:

B, D, F

Step-by-step explanation:

B, D, F

I believe A would be the correct answer.

Explanation: n^2 + n

(3)^2 + 3
9 + 3 = 12

(4)^2 + 4
16 + 4 = 20

This seems to work with any number I think of bringing me to the conclusion that A is the answer.

Give the value of x. Explain how you got your answer OR which theorem you used.

Answers

100+75+70+x= 360° (sum of interior angles of quadrilateral)

x= 360-245= 115°

Helppp pleaseeee which one

Answers

Answer:

Coefficient is your answer

Answer:

3 is a coefficient

Step-by-step explanation:

a constant is a number without a variable and that is unchanging

3 has the variable w attached to it and will change with the value of w

hope this helps <3

We are formulating a 90% confidence interval for the population mean and would like our confidence interval to have a margin of error that is not larger than 3. Experience suggests that a reasonable estimate for the population standard deviation is 15. What minimum sample size should be anticipate using? (NOTE: Round your final answer up to the next whole number).

Answers

Answer:

A sample size of 68 should be anticipated using.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Experience suggests that a reasonable estimate for the population standard deviation is 15

This means that [tex]\sigma = 15[/tex]

What minimum sample size should be anticipate using?

Margin of error at most 3, which means that the sample size is n when M = 3. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]3 = 1.645\frac{15}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 1.645*15[/tex]

Simplifying both sides by 3:

[tex]\sqrt{n} = 1.645*5[/tex]

[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]

[tex]n = 67.7[/tex]

Rounding up

A sample size of 68 should be anticipated using.

For the following right triangle, find the side length x.

Answers

You need to use phytagoreon theorem.
A2 + B2 = C2
So 12 2 (squared) + 35 2 (squared)= C2
C2 =144 + 1225= 1369
C = √1369= 37
X=37
I hope it’s right

6.39 ÷ 0.09 ≅ _____
No Downloads or Files
I Need An Answer please

Answers

71

that's all there is to it

Answer: 71

Step-by-step explanation: 6.39 /0.09

71

Consider the following set of numbers:
{1,2,3,4,5,6,7,8,9, 10}
What is the probability of drawing an even number or a
multiple of 3?

Answers

Answer:

0.7

Step-by-step explanation:

2,3,4,6,8,9,10 are the possible choices.

∴P(even no. or multiple of 3)

= 7/10

Answer:

7/10 or 70%

Step-by-step explanation:

1     no

2     yes

3     yes

4     yes

5     no

6     yes

7     no

8     yes

9     yes

10    yes

7/10 are even or multiples of 3, therefore you have a 70% chance of drawing one of them

Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below. The figure shows a right triangle with legs marked 70 and 24.

Answers

Answer:

74

Step-by-step explanation:

The commutative property changes the _____ of two addends or factors.

Answers

the communtative property chages the grouping
Grouping so that it stay the same

choose the correct equation

Answers

Answer:

y = -3x - 10

Step-by-step explanation:

Equation to represent the given table can be written in the slope-intercept form, y = mx + b.

m = slope = ∆y/∆x

Using the coordinates of any two pairs of values from the table, (0, -10) and (1, -13):

Slope (m) = [(-13 - (-10)]/[1 - 0] = -3/1

Slope (m) = -3

b = y-intercept = the value of y when x is 0 = -10

To write the equation, substitute m = -3 and b = -10 into y = mx + b.

Thus:

y = -3x + (-10)

y = -3x - 10

What is the quadratic regression equation that fits these data?

Answers

Answer:

C

Step-by-step explanation:

The quadratic regression equation that fits these data is [tex]\rm y=2.13x^2+0.13x+6.39[/tex].

What is the quadratic regression equation?

A quadratic regression is the process of finding the equation of the parabola that best fits a set of data.

The quadratic regression equation that fits these data is;

[tex]\rm y=2.13x^2+0.13x+6.39[/tex]

Check for the values of x and y;

When the value of x = -4 the value of y is;

[tex]\rm y=2.13x^2+0.13x+6.39\\\\x=-4\\\\\rm y=2.13(-4)^2+0.13(-4)+6.39\\\\y=34.13-0.52+6.39\\\\y=40[/tex]

Hence, the quadratic regression equation that fits these data is [tex]\rm y=2.13x^2+0.13x+6.39[/tex].

Learn more about quadratic equation here;

https://brainly.com/question/17018837

#SPJ2

After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only three women among the last 21 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired, assuming that there is no discrimination based on gender.
Does the resulting probability really support such a charge?

Answers

Answer:

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

Step-by-step explanation:

For each employee hired, the are only two possible outcomes. Either it is a man, or it is a woman. The probability of a person hired being a man or a woman is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

21 new employees.

This means that [tex]n = 21[/tex]

She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.

This means that [tex]p = 0.5[/tex]

Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired.

This is

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{21,0}.(0.5)^{0}.(0.5)^{21} \approx 0[/tex]

[tex]P(X = 1) = C_{21,1}.(0.5)^{1}.(0.5)^{20} = 0.00001[/tex]

[tex]P(X = 2) = C_{21,2}.(0.5)^{2}.(0.5)^{19} = 0.0001[/tex]

[tex]P(X = 3) = C_{21,3}.(0.5)^{3}.(0.5)^{18} = 0.0006[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.00001 + 0.0001 + 0.0006 = 0.00071[/tex]

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

PLEASE HELP!!! DUE IN 10 MIN!!!

Answers

Answer:

Option B

Step-by-step explanation:

Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides

Area of the triangular sides = 2(Area of the triangular base)

                                              = [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]

                                              = 10 × 12

                                              = 120 ft²

Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)    

= (10 + 13 + 13)(15)

= 36 × 15

= 540 ft²

Surface area of the prism = 120 + 540

                                           = 660 square feet

Option B will be the answer.

Angela opened a bank account with $0.50. Later in the week she deposited money and $24 in her account. How much money did she deposit?

Answers

Answer:

24 is the whole desposited. unless you are not counting the money she spent to open it. then it would be $23.50

$23.50.
EXPLANATION:
To find the answer, we should take the original amount, and subtract it from the new amount.

This is so we can find how much was added to the original number.

So, we do 24 - 0.50 and get $23.50.

HAVE A GUD DAY!

Help asappppp !!!!!!!!

Answers

Answer:

None

Step-by-step explanation:

2(x + 10) - 17 = 2x - 2

simplify:

2x + 20 - 17 = 2x - 2

2x + 3 = 2x - 2

subtract 3 from both sides of the equation:

2x = 3x -5

no solution

Students at the local middle school are mixing a unique school color. The blue in the school
color is made by using 3 parts navy blue and 1 part white. Will each combination result in the
correct ratio of the school color? Select Yes or No.
O Yes O No
O Yes O No
A. į part navy blue, į part white
B. į part navy blue, in part white
C. part navy blue, į part white
D. } part navy blue, į part white
O Yes O No
O Yes O No

Answers

Answer:

A: No

B: Yes

C: Yes

D: No

Step-by-step explanation:

A: Navy is obviously the bigger ratio so A is wrong

B: If you multiply both values by 18 you get the 3:1 ratio

C: If you Multiply both values by 5, you get the 3:1 ratio

D: Like A, Navy is always going to be bigger so D is wrong

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