Rewrite the equation of a straight line in a slope - intercept form x + 2y + 1 = 0

Answer:

- 4

Step-by-step explanation:

The slope of the line is the average rate of change of f(x)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

f(x) = - 4x + 1 ← is in slope- intercept form

with m = - 4 ← average rate of change

Answer:

The playground is 160ft by 360ft.

The model is 4in by 9in

First, 1ft = 12 inches.

Then the measures of the playground, in inches, is:

160*12in = 1920 in

360*12in =  4320in

The playground is 1920in by 4320in.

Then, the ratios between the measures of the playground and the model are:

1920in/4in = 480

4320in/9in = 480

This means that each inch in the model, represents 480 inches in the actual playground.

Answer:

One Way Trip There = ($460.22)

There and Back Trip = ($465.26)

Answer:

a. True

B. False

C. True

D. False

Step-by-step explanation:

a.) A+B = C then AD' + BD' = CD'

AD'+BD' = D'(A+B)

and we already have that A+B = C

such that D'C = C'D

this statement is true

b.) A'B + A'C = A'D then B+C = D

let's have A = 1 and B= 0, C= 0 and D = 1

A'(0) + A'(0) = 1(1)

0+0 = 1

0 = 1

This is false because 0 is not equal to 1

c.) A+ B=C then A+B+D= C+D

If A+B+D= C+D

Then A+B=C

The statement is true

d.) A+B+C=C+D

A+B = D

let's equate A = 0

B= 0

C= 1

D= 1

from a+b = D

We have

0+0 = 1

0 is not equal to 1

The statement is false

Answer:

a. True

B. False

C. True

D. False

Step-by-step explanation:

a.) A+B = C then AD' + BD' = CD'

AD'+BD' = D'(A+B)

and we already have that A+B = C

such that D'C = C'D

this statement is true

b.) A'B + A'C = A'D then B+C = D

let's have A = 1 and B= 0, C= 0 and D = 1

A'(0) + A'(0) = 1(1)

0+0 = 1

0 = 1

This is false because 0 is not equal to 1

c.) A+ B=C then A+B+D= C+D

If A+B+D= C+D

Then A+B=C

The statement is true

d.) A+B+C=C+D

A+B = D

let's equate A = 0

B= 0

C= 1

D= 1

from a+b = D

We have

0+0 = 1

0 is not equal to 1

The statement is false

Step-by-step explanation:

Answer:

y-int: (0, -45)

x-int: (-10, 0)

Step-by-step explanation:

x-intercept is the x-value when y = 0

y-intercept is the y-value when x = 0

x-int:

When y = 0, x = -10, so (-10, 0)

y-in:

when x = 0, y = -45, so (0, -45)

Answer:

Your answer will be 6+6-17 hope this helps :)

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

38-22=16

16 sea lions

Answer:

38-22=16.

16 sea lions.

Answer: C) -3

Step-by-step explanation: 4(-3) + 12 = 0

Answer:

The answer is 3.14 * 10^-6

Answer:

3.1415 * 10^6

Step-by-step explanation:

Scientific notation is  of the form a* 10 ^b where a is between 1 and less than 10

3,141,500  

Move the decimal 6 places to the left

The exponent is the number of places you move the decimal

Since we move it to the left, it is positive

3.141500 * 10^6

Drop the trailing zeros

3.1415 * 10^6

The correct answer is B. The number of seats in the restaurant

Explanation:

The number of seats is a quantitative variable because this is expressed using numbers and can be understood through numbers.  For example, the average of seats in the restaurants in the area can be calculated by finding the total of seats and dividing the number into the number of restaurants.

On the other hand, the type of cuisine and the restaurant critic's letter grade do not involve numbers but qualities, which make them qualitative variables. Also, even if zip codes are expressed using numbers these cannot be understood through them, for example, you cannot add two zip codes.

Answer:

B

Step-by-step explanation:

Answer:

[tex](-1)+(-3)=-4[/tex]

Step-by-step explanation:

We were originally on -1.

But we jumped to -4.

-4 is 3 spaces to the left of -1.

In other words, we subtract 3 into -1.

Another way of saying this is that we added -3 to -1.

Therefore, our equation is:

[tex](-1)+(-3)=-4[/tex]

Complete Question

Assume the random variable x is normally distributed with mean u=87 and standard deviation o=5. Find the indicated probability.

P(x<81)

P(x<81)=__(Round to four decimal places).

Answer:

The  value  is  [tex]P(x < 81) = 0.11507[/tex]

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu = 87[/tex]

  The  standard deviation is  [tex]\sigma = 5[/tex]

The probability is mathematically represented as

              [tex]P(x < 81) = P (\frac{X - \mu }{\sigma } < \frac{81 - 87 }{5 } )[/tex]

Generally  [tex]\frac{X - \mu}{\sigma} = Z (The \ z-score \ of X )[/tex]

            [tex]P(x < 81) = P (Z < - 1.2)[/tex]

From the z-table  

                   [tex]P (Z < - 1.2) = 0.11507[/tex]

So               [tex]P(x < 81) = 0.11507[/tex]

Answer:

C

Step-by-step explanation:

the first shape has 6 edges, the second shape has 5 edges, the third shape has 4 edges, therefore the fourth shape has 3 edges (c)

Answer: 5 cm

Step-by-step explanation:

To use a ruler, you read it from left to right, where the numbers get larger and larger. The blue end of the ruler starts at 0 cm, where it should start. Going right, we see that it ends at 5 cm. Therefore, our answer is 5 cm.

Answer:

900000

Step-by-step explanation:

You multiply 90000 by 10= 900000 which is also 10/10 of of 900000 which means 1/10 of 900000 is 90000

Answer:

900000

Step-by-step explanation:

Answer:

yes it is

Step-by-step explanation:

hope this helps✨

Turn the percentage into a decimal.

24.10 / 100 = 0.241

Divide.

195.21 / 0.241 = 810

Therefore, 195.21 is 24.10% of 810

Best of Luck!

Answer:

65.5

Step-by-step explanation:

(74 + 57)divided by 2 = 65.5

Answer:

[tex]Probability = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

Grape = 15

Cherry = 7

Lemon = 3

Strawberry = 5

Total = 30

Required

Determine the probability of picking a strawberry

The probability of drawing a strawberry is calculated by dividing the number of strawberry by the total number of fruits as follows;

[tex]Probability = \frac{Strawberry}{Total}[/tex]

Substitute 5 for Strawberry and 30 for Total

[tex]Probability = \frac{5}{30}[/tex]

Divide the numerator and denominator by 5

[tex]Probability = \frac{1}{6}[/tex]

Hence, the required probability is [tex]\frac{1}{6}[/tex]

Answer: is B

Step-by-step explanation:

-20, xmax

The most appropriate viewing window for determining the domain and range of the function is Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20.

The given function is  f(x)=-|x+5|+12.

We need to find the most appropriate viewing window for determining the domain and range of the function.

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (-∞, ∞), {x|x∈R}

Range: (-∞, 12], {y|y≤12}

So,window=Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20

Therefore, the most appropriate viewing window for determining the domain and range of the function is Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20.

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Answer:

Ratio = 5:1

         = 5 / 1

Number of teachers = 15

Lets take the number of students = x

Therefore,

5:1 = x:15

= 5/1 = x/15

x = 15 × 5

  = 75 students

Hope it helps!!

Answer:

(124)(29)

=10616832

Step-by-step explanation:

Answer:

1) [tex](4x)(x+2)-x(3x+5)[/tex]

2A) [tex]w^2+3w[/tex]

2B) [tex]28\text{ in}^2[/tex]

Step-by-step explanation:

1)

First, let's write the expressions for the area of the entire shaded region and the white area.

The formula for the area of a rectangle is given by:

[tex]A=lw[/tex]

For the entire shaded rectangle, the length is (4x) and the width is (x+2). So, the area is:

[tex](4x)(x+2)[/tex]

For the white rectangle, the length is (3x+5) and the width is (x). So, the area is:

[tex]x(3x+5)[/tex]

The shaded area is the entire shaded rectangle minus the area of the white rectangle. Therefore, our expression would be:

[tex](4x)(x+2)-x(3x+5)[/tex]

2)

Part A)

So, we are given that the length of the rectangle is 3 inches greater than the width.

The area of a rectangle is given by:

[tex]A=lw[/tex]

So, let w be width and let l be the length.

Since the length is 3 inches greater than the width, this means that the l is (w+3).

Thus, substitute. Our expression will therefore be:

[tex]lw\\w(w+3)[/tex]

Since we want a polynomial, let's expand:

[tex]=w^2+3w[/tex]

Part B)

To find the area when the width is 4, substitute 4 for w:

[tex]w^2+3w\\=(4)^2+3(4)[/tex]

Square and multiply:

[tex]=16+12[/tex]

Add:

[tex]=28\text{ in}^2[/tex]

So the area is 28 square inches.

Answer:

17.4

Step-by-step explanation:

44/5 = 8.8

73/5 = 14.6

8.8 + 14.6 = 23.4

23.4 - 6 = 17.4

Answer:

B. [tex] \frac{ {7}^{36} }{ {9}^{24} } [/tex]

Step-by-step explanation:

[tex] \bigg( {9}^{6} . {7}^{ - 9} \bigg ) ^{ - 4} \\ \\ = {9}^{6 \times ( - 4)} \times {7}^{ - 9 \times ( - 4)} \\ \\ = {9}^{ - 24} \times {7}^{36} \\ \\ = \frac{ {7}^{36} }{ {9}^{24} } \\ [/tex]

Answer: Jen is wrong about her classification.

Step-by-step explanation:

First of all, we know that the definition of an irrational number is that they are numbers that cannot be represented by a simple fraction and that they are never repeating decimals and they never end.

So, considering this, Jen is wrong because, yes it does not repeat but it DOES END unless it is not written in this problem that it continues on irrationally like pi. Hence, this number is not irrational.

The Jen classifies the number 4.567 as an irrational number is false.

It is required to find the number is rational and irrational numbers.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given :

Jen's argument

We have

4.567 as an irrational number

The above claim is false because

4.567 =

4567/1000

When we divide the above number in the form of p/q  and q≠0 then then number is rational number.

Therefore, the Jen classifies the number 4.567 as an irrational number is false.

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Answer:plan

Step-by-step explanation:

Answer: f(x) = -2X + 5

Step-by-step explanation:

Answer:

y = 7.8x + 26

Step-by-step explanation:

Given the following :

Pearson's r = 0.78

Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams

Average weight = 65 kg with standard deviation of 15kg

Formular for the regression line :

General regression formula :

y = mx + c

y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept

Gradient (m) = change in y / change in x

m = (sd y / sd x) * r

m = (sd weight / sd ice cream) × r

m = (15 / 1.5) × r

m = 10 × 0.78 = 7.8

Intercept:

mean of weight(y) - [Slope×mean of icecream(x)]

65 - [7.8 × 5]

65 - 39 = 26

Hence,

y = 7.8x + 26

Answer:

it is the same 4.3

Step-by-step explanation:

this numbers didn't add one number when you round(0,1,2.3.4)

this numbers(5,6,7,8,9), you add one number when you add

4.3 (the three is the tenth)and no number after it so its stell the same

The rounding number of 4.3 when rounded to the nearest tenth is 4.3

Here,

The number is 4.3

We have to find the rounding number of 4.3 nearest tenth.

What is Rounding number?

A method of approximating a number to its nearest place value is called Rounding of Numbers.

Now,

The number is 4.3

To round the decimal number to its nearest tenth, look at the hundredth place.

But here is no any number on hundredth number, hence no change occur for rounding 4.3 to the nearest tenth.

So, The rounding number of 4.3 when rounded to the nearest tenth is same as the number 4.3

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