All categories

3 years ago

If P(x) = x ^ 2 + x + 3 and Q(x) = 4x ^ 2 - 3 find P(8) .

Mathematics

1 answer:

lara [203]3 years ago

6 0

Answer:

Step-by-step explanation:

Giving Q was not necessary because you aren't doing P(Q) or anything like that....

Anyways,

$p(x) = x^2 + x +3\\$

Since you're doing p(8), you would replace the x's with 8s.

$(8)^2 + (8) + 3 = 64 + 8 + 3 =75$

So your final answer would be 75.

You might be interested in

Point J is the midpoint of segment FG with endpoints F(1,4) and G(5,12). Point K is the midpoint of segment GH with endpoints G(

faltersainse [42]

Answer:

1 unit

Step-by-step explanation:

If point J is the midpoint of segment FG with endpoints F(1,4) and G(5,12), then its coordinates are

$x_J=\dfrac{x_F+x_G}{2}=\dfrac{1+5}{2}=3\\ \\y_J=\dfrac{y_F+y_G}{2}=\dfrac{4+12}{2}=8$

If point K is the midpoint of segment GH with endpoints G(5,12) and H(-1,4), then its coordinates are

$x_K=\dfrac{x_G+x_H}{2}=\dfrac{5+(-1)}{2}=2\\ \\y_K=\dfrac{y_G+y_H}{2}=\dfrac{12+4}{2}=8$

The measure of JK is

$JK=\sqrt{(3-2)^2+(8-8)^2}=\sqrt{1^2+0^2}=1\ unit$

3 0

3 years ago

Write an explicit formula for then th an. term of the sequence 45, 15,5. ....

7nadin3 [17]

Answer:

The sequence above is a geometric sequence

For an nth in a geometric sequence

$u(n) = a {r}^{n - 1}$

where n is the number of terms

a is the first term

r is the common ratio

From the question

a = 45

r = 15 / 45

The explicit formula for the sequence is

U(n) = 45(1/3)^n-1

Hope this helps you

7 0

3 years ago

Derrico is building a holding pen for his dogs. The rectangular holding pen is 14.8 feet wide by 8.9 feet long. About how many f

son4ous [18]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Which points lie on the line whose equation is -8x - 6y - 7 = 17? Select ALL that apply Response : (3,0) (-2,-1) (0,-4) (-9,6) (

Reika [66]

Answer:

(0;-4)

(-6;4)

Step-by-step explanation:

-8x - 6y - 7 = 17

-8x-6y-24=0

y=-(4x)/3-4

(3;0)

-(4*3)/3-4=8

8≠0

(-2;-1)

-(4*(-2))/3-4=-4/3

-4/3≠-1

(0;-4)

-(4*0)/3-4=-4

-4=-4

(-9;6)

-(4*(-9))/3-4=8

8≠6

(-6;4)

-(4*(-6))/3-4=4

4=4

3 0

3 years ago

HELP ASAP!!! PLEASE CHECK ALL OF THEM!

pochemuha

Answer:

A. (P+h)(x)

2x/x+4 (x-1) + x/x-1 (x+4)

2x^2-1/x^2-4

X^2+4/x^2-4

= 3x^2+3/x^2-4

B. (F-g)(x)

X^2-7x+6-x - 6

= x^2 -8x

C. (Fg)(x)

(X^2-7x+6)(x-6)

= x^3-13x^2+48x-36

D. (H/p)(x)

X/x-1 / 2x/x+4

X/x-1 / x+4/2x

= X^2+4x/2x^2-2x

A. (F+g)(3)

X^2+1 + x-4

3^2+1 + 3-4

10 -1

= 9

B. (f-g)(0)

X^2+1 - x-4

0+1 -0-4

1-4

= -3

C. (Fg)(-k)

(X^2+1) (x-4)

(-k^2+1) (-k-4)

K^3+4k^2-k-4

D. (F/g)(k-2)

X^2+1 /x-4

K-2^2+1 / k-2 -2

= K^2-4k+5 / k-4

Step-by-step explanation:

8 0

3 years ago