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scoray [572]
3 years ago
8

Simplify (x-4)(4x^2+x-6)!!!

Mathematics
1 answer:
ki77a [65]3 years ago
5 0

Answer:

4x^3 - 15x^2 - 10x + 24

Step-by-step explanation:

FOIL (x-4)(4x^2+x-6)

= x(4x^2+x-6) -4(4x^2+x-6)

= 4x^3+x^2-6x-16x^2-4x+24

=4x^3-15x^2-10x+24

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PLEASE HELP AND EXPLAIN IF YOU CAN I DONT UNDERSTAND!!!!!!!!
iVinArrow [24]

Answer:

  A.  h(x) = √(x-2)

Step-by-step explanation:

To translate a function right by p units and up by q units, the function becomes ...

  g(x) = f(x -p) +q

Here, there is no translation upward, but there is a translation of 2 units to the right. The transformed function's name is given as h (not g), so you have ...

  (p, q) = (2, 0)

  h(x) = f(x -2) +0

  h(x) = √(x -2)

4 0
3 years ago
6. Two points in the plane, ????(19,4) and ????(19,−6), represent the endpoints of the diameter of a circle.
dusya [7]

Answer:

Radius = 5

center is (19,-1)

(x-19)^2(y+1)^2= 25

Step-by-step explanation:

Two points in the plane, (19,4) and  (19,−6), represent the endpoints of the diameter of a circle.

Distance between the points is calculated using formula

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

=\sqrt{\left(19-19\right)^2+\left(-6-4\right)^2}=10

diameter = 10

radius = diameter divide by 2

Radius = 5

midpoint is the center of the circle

\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

\left(\frac{19+19}{2},\:\frac{-6+4}{2}\right)

(19,-1)

Equation of the circle

(x-h)^2(y-k)^2= r^2

h,k is the center and r is the radius

h=19 and k=-1 , r=5

(x-19)^2(y+1)^2= 25

8 0
2 years ago
Judy is pulling on a trunk with a 12-N force. Ike pulls at right angles to Judy. With how much force must Ike pull to make the r
Ratling [72]
To understand the problem, let's first draw a free body diagram of the forces exerted by Judy and Ike on the truck. (Refer to the left side of the attachment).

To solve for the resultant, we just use the tip-to-tail method. This is illustrated on the right side of the attachment.

We can see that the tip-to-tail method forms a right triangle thus we can just apply the Pythagorean theorem in solving for Ike's force.

20^{2} = 12^{2} + F^{2}
400 = 144 + F^{2}
256 = F^{2}
F = 16.0

ANSWER: Ike must pull the truck with a force of 16.0 N.

8 0
3 years ago
What percent of 60 is 15
ozzi
Well we know that 
15/60 can be reduced to 1/4 
And 1/4 can be turned into a percent as 25% 

So your answer is 25% 

Good Luck! :)
3 0
2 years ago
Read 2 more answers
Write the percent as a fraction in lowest terms: 20%
Usimov [2.4K]
1/5 that’s the answer
3 0
3 years ago
Read 2 more answers
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