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castortr0y [4]
3 years ago
14

Need help on this!!! 6 points!!!

Mathematics
2 answers:
creativ13 [48]3 years ago
8 0
The answer is 129 my guy
Darina [25.2K]3 years ago
4 0

Answer:

The Answer is         129

Step-by-step explanation:

We substitute x + 3 for X in F(x):

f(g(x)) = (x + 3)^3 +4

f(g(2)) = (2 + 3)^3 + 4

=125 + 4

=129

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write the equation of the line that passes through the points 7, -4 and -1, 3 first and point-slope form and then in slope inter
anyanavicka [17]

The slope of line is \frac{-7}{8}

The point slope form is found when point (7, -4) is used is y + 4 = \frac{-7}{8}(x - 7)

The slope intercept form is y = \frac{-7}{8}x + \frac{17}{8}

<em><u>Solution:</u></em>

We have to find the equation of the line that passes through the points 7, -4 and -1, 3

<h3><u>Point slope form:</u></h3>

The point slope form is given as:

y - y_1 = m(x - x_1)

Where "m" is the slope of line

Given two points are (7, -4) and (-1, 3)

<h3><u>Let us find the slope of line</u></h3>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substituting (x_1 , y_1 ) = (7, -4) \text{ and } (x_2, y_2) = (-1, 3)

m=\frac{3-(-4)}{-1-7}=\frac{7}{-8}

m=\frac{-7}{8}

Thus slope of line is found

Substitute value of m and point (7, -4) in eqn 1

y - (-4) = \frac{-7}{8}(x - 7)\\\\y + 4 = \frac{-7}{8}(x - 7)

Thus the point slope form is found when point (7, -4) is used

<h3><u>Slope intercept form:</u></h3>

The slope intercept form is given as:

y = mx + c  ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute m = -7/8 and (x, y) = (7, -4) in eqn 1

-4 = \frac{-7}{8}(7) + c\\\\-32 = -49 + 8c\\\\8c = 17\\\\c = \frac{17}{8}

Substitute m = -7/8 and c = \frac{17}{8} in eqn 1

y = \frac{-7}{8}x + \frac{17}{8}

Thus the required equation of line is found

8 0
3 years ago
Read 2 more answers
Solve: (3√8x - 2 )= 4<br> To solve this equation, first<br> _____both sides.<br> x =_____
PIT_PIT [208]

Answer:

Add 2 to each side

x=1/2

Step-by-step explanation:

(3√8x - 2 )= 4

Add 2 to each side

(3√8x - 2 +2= 4+2

3√8x = 6

Divide each side by 3

3/3√8x = 6/3

√8x = 2

Square each side

(√8x)^2 = 2^2

8x = 4

Divide each side by8

8x/8 = 4/8

x = 1/2

5 0
3 years ago
Idk hope to do this so pls help
Leto [7]
One equation that could be used would be t = 25-12
7 0
3 years ago
Read 2 more answers
Jacob is planting flowers for his grandmother. This morning, he spent an hour planting
kirill [66]

Answer:

Ignore my answer

Step-by-step explanation:

5 0
3 years ago
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What transformation of f(x)=|x-4|+7?​
arlik [135]

Answer:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Parent Function:  g ( x )= | x | Horizontal Shift: Right  4  Units

Vertical Shift: Up  

7

Units

Reflection about the x-axis: None

Vertical Compression or Stretch: None

Step-by-step explanation:

5 0
3 years ago
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