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____ [38]
3 years ago
10

25 POINTS PLEASE HELP

Mathematics
1 answer:
Nesterboy [21]3 years ago
7 0

Answer:

\large\boxed{h(x)=x^3}

Step-by-step explanation:

f(x)=(6x^3-7)^3\\\\(h\circ g)(x)=h\bigg(g(x)\bigg)\to\text{exchange x to}\ g(x)=6x^3-7\\\\f(x)=(\underbrace{6x^3-7}_{g(x)})^3=\bigg(g(x)\bigg)^3=h\bigg(g(x)\bigg)\\\\\text{Therefore}\ h(x)=x^3

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a rectangular patio is 9 yards 2 ft long and 5 yards 2 feet wide what is the perimeter of the patio in yards​
qaws [65]

Answer:36 yards and 2 feet

Step-by-step explanation:

7 0
3 years ago
Factor completely 2x4y3 − 12x3y2 − 8x2y.
MAVERICK [17]

Answer:

2x^2y[x^{2}y^{2}-6xy-4]

Step-by-step explanation:

we have

2x^{4}y^{3}-12x^3y^2-8x^2y

Factor 2x^2y

so

2x^2y[x^{2}y^{2}-6xy-4]

8 0
3 years ago
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Write an equation for the perpendicular bisector of the line segment joining the two points.
Leona [35]
Points (1, 7)  and  (-3, 2)

Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)

The slope for the line joining the two points =  (2 - 7) / (-3 - 1) = -5/-4

Slope = 5/4

Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5

By condition of perpendicularity

For points (1, 7)  and  (-3, 2),

Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)

Midpoint for (1, 7)  and  (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)

= (-1, 9/2)

Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)

Equation  y - y₁ = m (x - x₁)

                y - 9/2 = (-4/5) (x - -1)
           
                y - 9/2 = (-4/5)(x + 1)

               5(y - 9/2) = -4(x + 1)

               5y - 45/2 = -4x - 4

                 5y =  -4x - 4 + 45/2
           
                5y + 4x = 45/2 - 4

                  5y + 4x = 22  1/2  - 4 =  18 1/2

                  5y + 4x =  37/2

                  10y + 8x = 37

The equation of the line to perpendicular bisector is 10y + 8x = 37
7 0
3 years ago
7 x ( h + 4 ) for h = 3
ludmilkaskok [199]

Answer:

is h is 3, then your answer would be 21 + 28 = 49

since 7 x 3 = 21 and 7 x 4 = 28 you add 21 and 28 which would get you 49

7 0
3 years ago
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Which of these is a prime number? 156, 149, 133, 152
xenn [34]
149 is a prime number. Hope that helps :)
7 0
2 years ago
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