Select the correct answer.
If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation?

A.
g(x) = 3x − 14
B.
g(x) = -3x − 14
C.
g(x) = 3x + 14
D.
g(x) = -3x + 14

Answer:

Hello! answer: 12

Step-by-step explanation:

1/4 × 1/3 = 1/12 therefore there our 12 possible outcomes

Solution :

Given :

Equation :

y = 6.3333 x + 53.0298

Here, x = number of hours studied

         y = the exam score

a). To predict the exam score, we have to replace x in the least square regression line by 2 :

   y = 6.3333 x + 53.0298

   y = 6.3333 (2) + 53.0298

      = 65.6964

Thus he predicted exam score is 65.6964

b). The slope is the co-efficient of x in the least squares regression line :

  Slope = 6.3333

 The slope represents the average increase in y as x increases by 1.

  The exam score increases on average by 6.3333 points per hour studied.

c). The mean score of the [tex]\text{ students who did not study}[/tex] (studied 0 hours) is obtained by replacing x in the least squares regression line by 0 :

  y = 6.3333 x + 53.0298        

 y = 6.3333 (0) + 53.0298

    = 53.0298

d). To predict the exam score of a student who studied 5 hours, we replace x in the least squares regression line by 2 :

   y = 6.3333 x + 53.0298

   y = 6.3333 (5) + 53.0298

   y = 84.6963

Thus the average exam score of a student who studied 5 hours is 84.6963

Since the actual exam score 81 is less than the average exam score of 84.6963 the student's exam score is below the average.

Answer:

C. 1/3

Hope this helps!:)

Answer:

1/3

Step-by-step explanation:

The equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

f(x) = -2/9x + 1/3

The slope is -2/9  and the y intercept is 1/3

Answer: -9

Step-by-step explanation:

f(x)=-5x-4

f(1)=-5(1)-4

    =-5-4

f(1) =-9

Answer:

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

A=bh=8·12=

NEXT TIME SHOW THE PICTURE BUT YOU GOOD FOR RN.

Answer:

Slope = -1

Step-by-step explanation:

Slope (m) = [tex]\frac{Y_{2}-Y_{1} }{X_{2}-X{1}}[/tex]

m = [tex]\frac{-3-5 }{6-(-2)}[/tex]

m=[tex]\frac{-8}{8}[/tex]

m = -1

Answer: 1178

Step-by-step explanation:

You can make 5.5% 0.055

Multiply 0.055 by $21000

0.055 x $21000 = 1155

Then you have to add 23

1155+23=1178

Step-by-step explanation:

Using SOHCAHTOA

[tex] \tan = \frac{opposite}{adjacent} \\ \tan {31}^{0} = \frac{450}{x} \\ \tan {31}^{0} = 0.6009 \\ 0.6009 = \frac{450}{x} \\ cross \: multiply \\ 0.6009x = 450 \\ divide \: both \: sides \: by \: 0.6009 \\ x = \frac{450}{0.6009}x \\ = 748.9[/tex]

Second Question Explanation:

a. The base angles of an isosceles triangle are equal so angle ABC is also 32°

but the sum of angles in a triangle = 180° therefore

let angle CAB be x

[tex] {32}^{0} + {32}^{0} + {x}^{0} = {180}^{0} \\ 64 + x = 180 \\ {x}^{0} = 180 - 64 \\ {x}^{0} = {116}^{0} [/tex]

b. If you share a triangle in half you get 2 right angles so I'll use SOHCAHTOA to find the length AB

First the base of the right angled triangle will be 20/2 = 10

[tex] \cos = \frac{adjacent}{hypotenuse} \\ \cos {32}^{0} = \frac{10}{ab} \\ \cos32 = 0.8480 \\ 0.8480 = \frac{10}{ab} \\ ab = \frac{10}{0.8480} \\ line \: ab = 11.8[/tex]

c. To find the are we'll need to get the height first

using the right angled triangle With base 10cm and hypotenuse 11. 8 to find the height we'll use the Pythagorean theorem

[tex] {(11.8)}^{2} = {x}^{2} + {10}^{2} \\ 1324.24 = {x}^{2} + 100 \\ {x}^{2} = 139.24 - 100 \\ {x}^{2} = 39.24 \\ \sqrt{ {x}^{2} } = \sqrt{39.24} \\ x = \sqrt{39.24 } \\ x = 6.3[/tex]

now to find the area

[tex]area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 20 \times 6.3 \\ \frac{20 \times 6.3}{2} \\ = \frac{126}{2} \\ 63 {cm}^{2} [/tex]

Let x be the length of the third side.

Thus:

[tex]\mathsf{25^2=17^2+x^2}\\\\\mathsf{625=289+x^2}\\\\\mathsf{x^2=625-289}\\\\\mathsf{x^2=336}\\\\\mathsf{x=\sqrt{336}}\\\\\boxed{\mathsf{x=4\sqrt{21}}}[/tex]

The total cost T varies directly with the number of kilograms A of apples purchased. Apples cost $1.15 per kilogram.

True

Answer:

y=-3x-5

Step-by-step explanation:

(-1, -2) (0, -5)

use slope formula

ΔY = (-5 – -2) = -3

ΔX = (0 – -1) = 1

m = -3

y=mx+b

-5 = -3(0)+b

b = -5

y=-3x-5

Yes, these sections of the two tracks, because cross each other while moving in perpendicular directions.

Given that,
You and a friend are driving go-karts on two different tracks. As you drive on a straight section heading east, your friend passes above you on a straight section heading south.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
As given in the question they both move in a different direction that is perpendicular to each other which implies one of them pass over the other by any means such as a subway or bridge.

Thus, Yes, these sections of the two tracks, because cross each other while moving in perpendicular directions.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

549,000

Step-by-step explanation:

9514 1404 393

Answer:

  1, 3, 5, 10

  r > 0

Step-by-step explanation:

The equivalent inequality is found by dividing both sides by 5:

  (5r)/5 > 0/5

  r > 0 . . . . . . . . . simplify

Then you can easily see that values of r greater than 0 will satisfy the inequality:

  r may be any of 1, 3, 5, 10

Answer:

x = - 19/23

y= 6/15/23

Step-by-step explanation:

See the image I have shared for workings.

Answer:

Step-by-step explanation:

x+x+40=2

+ 4 0

2x+31=1205

2x=1205-31

2x=1174

x=1174/2

x=587

leslie will hace 587 score and

jackson =587+31= 618

Given:

M is the midpoint of AB.

M(2,0) and A(-3, 3).

To find:

The coordinates of point B.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

[tex](2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{-3+a}{2}=2[/tex]

[tex]-3+a=2\times 2[/tex]

[tex]a=4+3[/tex]

[tex]a=7[/tex]

And,

[tex]\dfrac{3+b}{2}=0[/tex]

[tex]3+b=0[/tex]

[tex]3+b-3=0-3[/tex]

[tex]b=-3[/tex]

Therefore, the coordinates of point B are (7,-3).

Answer:

Step-by-step explanation:

What are the units of the shapes? I will assume inches, but if that is not so leave a note.

Begin by adding the surface area of the 3 shapes.

V = 6*(100 + 226 + 300)

Now add them before multiplying by 6

V = 6* ( 626)                  

Multiply by 6

V = 3756 cubic inches.

Answer:

V = 3756 units^3

Step-by-step explanation:

Area 1 is 100units^2    multiply by 6

= 100 x 6 is 600units^3

Area 2 is 226units^2      think 5 x 225 = 1125 + 225 + 6

= 226 x 6 = 1356units^2

Area 3 is 300    

= 300 x 6 = 1800    think 3x6x100

Total volume is 600+1356+1800 = 3756 units^3

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I took the quiz.

But really, the Earth is not that old. just a couple thousand years old.

There is no such thing as 2.3 million billion years ago. There is someone with a greater power above who created everything.

Hope this helps and have a great day!

:)

Answer:

A. Quaternary

Step-by-step explanation:

Answer:

32.54%

Step-by-step explanation:

To determine the probability that an individual song has a danceability of at least 0.7

Applying the excel formula below

=COUNTIF ( I2:I4771,">0.7") / ROWS( I2:I4771)

Hence ; The probability of an individual song having a danceability of at least 0.7 = 32,54%

Answer:

Part A = B. 1 ÷ 1/3 = 3

Part B = 27 brownies

Step-by-step explanation:

Part A

From the ingredients given in above question:

1/3 cup of butter = 1 batch of brownies

Hence: 1 cup of butter = x

Cross Multiply

1/3 cup of butter × x = 1 cup of butter × 1 batch of brownies

x = 1 cup of butter × 1 batch of brownies/1/3 cup of butter

x = 1 batch of brownies ÷ 1/3

x = 1 batch of brownies × 3/1

x = 3 batches of brownies

Hence, the number brownies Jackson can make with 1 cup of butter Is 3 batches of brownies

Therefore, the equation you can use to solve the problem is Option B. 1 ÷ 1/3 = 3

Part B

If each brownie is 1/9 of a batch, how many brownies did he make?

We know from Part A that Jackson made 3 batches of brownies hence:

1/9 of a batch of brownies = 1 brownie

3 batches of brownies = x

Cross Multiply

1/9 of a batch of brownies × x = 1 brownie × 3 batches of brownies

x = 1 brownie × 3 batches of brownies/ 1/9 of a batch of brownies

x =( 3 ÷ 1/9) brownies

x = ( 3 × 9/1) brownies

x = 27 brownies

Therefore, the number of brownies he made was 27 brownies.

Answer:

[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]

Step-by-step explanation:

[tex](-6p^{3} )(3p^2+5p-1)[/tex]

[tex](-6p^3)(3p^2)+(-6p^3)(5p)+(-6p^3)(-1)[/tex]

[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]

hope this helps.....

Answer:15.83

Step-by-step explanation:

15.83 cuz I did it

Answer:

[tex]2.5\% \: of \: n = 0.01 \\ \frac{2.5}{100} \times n = 0.01 \\ 2.5n = 1 \\ n = 0.4[/tex]