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motikmotik
3 years ago
11

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to mc022-1.jpg?

Mathematics
2 answers:
damaskus [11]3 years ago
8 0
<span>the answer:
the full question is as follow:

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g*h)(5)?

A (5 – 7)2,
B (5)2 – 7,
C (5)2(5 – 7),
D (5 – 7)x2

first, the main rule of the product between two functions g and h is

g(x)*h(x)= (g*h)(x)

</span>h(x) = x – 7 and g(x)=x², so (g*h)(x)= g(x)*h(x)=[x²][x – 7 ]= x^3 -7x²

(g*h)(x)= x^3 -7x², therefore, (g*h)(5)= 5^3 -7*5² = -50 = (5)2(5 – 7)

finally, the answer is C (5)2(5 – 7), 
Yuri [45]3 years ago
5 0

Answer:

A. (5-7)2

Step-by-step explanation:

I took an educational guess on edgen. and got this right.

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Finding values or<br> k(x) = x - 2<br> h(x) = x2 +1<br> (h + k)(2) =
Serjik [45]

Answer:

<h2>(h + k)(2) = 5</h2>

Step-by-step explanation:

(h+k)(x)=h(x)+k(x)\\\\\bold{METHOD\ 1:}\\\\k(x)=x-2,\ h(x)=x^2+1\\\\(k+h)(2)=h(2)+k(2)\\\\\text{Calculate}\ h(2)\ \text{and}\ k(2).\\\text{Put}\ x=2\ \text{to the equations of the functions}\\\\h(2)=2^2+1=4+1=5\\k(2)=2-2=0\\\\\text\\\\\text{Substitute:}\\\\(h+k)(2)=5+0=5

\bold{METHOD\ 2:}\\\\k(x)=x-2,\ h(x)=x^2+1\\\\(h+k)(x)=h(x)+k(x)=(x^2+1)+(x-2)=x^2+x-1\\\\(h+k)(2)-\text{put}\ x=2\\\\(h+k)(2)=2^2+2-1=4+2-1=6-1=5

5 0
3 years ago
Find the value of x in the solution to the system of equations shown.
ale4655 [162]
<span>y=4x-6
y=-4x+48
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8 0
3 years ago
Urgent!!! Will give thanks and branliest!
agasfer [191]
Okay so, togo flies 30 miles in 3/5 of an hour with the wind.togo flies 30 miles in 5/6 of an hour against the wind. his rate of speed with the wind was 30 / (3/5) = 30*5/3 = 150/3 = 50 mph.his rate of speed against the wind was 30 / (5/6) = 30*6/5 = 6*6 = 36 mph.3/5 of an hour times 50 mph = 30 miles.
5/6 of an hour times 36 mph = 30 miles.mph looks good.
going he was with the wind.
his rate of speed then was the airplane speed plus the wind speed.coming back he was against the wind.his rate of speed then was the airplane speed minus the wind speed.-----50 mph = A + W36 mph = A - W-----looks like A + W - (A - W) should equal 50 - 36.removing parentheses, equation becomesA + W - A + W = 14.
combining like terms, the equation becomes2*W = 14.dividing both sides by 2, equation becomesW = 7.if W = 7, then A can be found as follows:50 = A + 7A = 43.likewise,36 = A - 7A = 43.since the airplane speed is the same, it looks like the answer is good.solving in the original equations, we get3/5 * (43 + 7) = 303/5 * 50- = 3030 = 30good.-----5/6 * (43 - 7) = 305/6 * 36 = 3030 = 30good.
answer is W = 7 and A = 43.
8 0
3 years ago
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3 years ago
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