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Ann [662]
3 years ago
15

What value of B makes the expression, x^2 + bx + 64 a perfect square trinomial?

Mathematics
1 answer:
Kitty [74]3 years ago
7 0
B = 16
x^2 + 16x + 64 can be factored down to (x + 8)^2. 
You might be interested in
What ia the order of 1 2/3 , 1 1/6 and 1 5/6
Fittoniya [83]
1 1/6, 1 2/3, 1 5/6 is the order. :) hope I helped!
5 0
3 years ago
A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random. What is the probabilit
valina [46]
Hello!

You first find out how many objects there are in total


4 + 9 + 3 = 16

Then you find the probability of Liliana picking a orange

Since there are 4 oranges and 16 things to pick she has a 4/16 chance of getting an orange

Next you find the probability of Liliana picking a pear

There are 3 pears and 16 items to pick so she has a 3/16 chance

Then you add them together to find the chance of either happening

4/16 + 3/16 = 7/16

So she has a 7 out of 16 chance of getting an orange or a pear

The answer is 7/16

Hope this helps!
3 0
3 years ago
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equa
Setler [38]

Answer:

b=0.5 in

b=2 in

Step-by-step explanation:

we know that

The perimeter of triangle is equal to

2a+b=15

Solve for a

a=\frac{15-b}{2} -----> equation A

Applying the Triangle Inequality Theorem

a+a > b

2a > b -----> inequality B

<u>Verify each case</u>

case 1) b=-2 in

This value not make sense, the length side cannot be a negative number

case 2) b=0 in

This value not make sense

case 3) b=0.5 in

substitute the value of b in the equation A and solve for a

a=\frac{15-0.5}{2}=7.25\ in

substitute the values of b and  a in the inequality B

2a > b

2(7.25) > 0.5

14.50 > 0.5 -----> is  true

therefore

b=0.5 in  make sense for possible values of b

case 4) b=2 in

substitute the value of b in the equation A and solve for a

a=\frac{15-2}{2}=6.5\ in

substitute the values of b and  a in the inequality B

2a > b

2(6.5) > 2

13 > 2 -----> is true

therefore

b=2 in  make sense for possible values of b

case 5) b=7.9 in

substitute the value of b in the equation A and solve for a

a=\frac{15-7.9}{2}=3.55\ in

substitute the values of b and  a in the inequality B

2a > b

2(3.55) >7.9

7.1 > 7.9 -----> is not true

therefore

b=7.9 in  not make sense for possible values of b

5 0
3 years ago
Read 2 more answers
(F x G)(x)<br> F(G(x))<br> G[F(x)]<br> F[G(x)]<br> G(F(x))
pentagon [3]

The results of the composite functions are:

  • (f \times g)(x) = 6x^2-9x
  • f(g(x)) = 6x - 3
  • g(f(x)) = 6x - 9

<h3>What are composite functions?</h3>

Composite functions are functions that are obtained by combining two or more functions together

Assume that:

  • f(x) = 2x - 3
  • g(x) = 3x

Then the computation of the composite functions are as follows:

<h3>Function (f * g)(x)</h3>

(f \times g)(x) = f(x) \times g(x)

(f \times g)(x) = (2x-3) \times (3x)

(f \times g)(x) = 6x^2-9x

<h3>Function f(g(x))</h3>

We have: f(x) = 2x - 3

This gives

f(g(x)) = 2g(x) - 3

So, we have:

f(g(x)) = 2(3x) - 3

f(g(x)) = 6x - 3

<h3>Function g(f(x))</h3>

We have: g(x) = 3x

This gives

g(f(x)) = 3f(x)

So, we have:

g(f(x)) = 3(2x - 3)

g(f(x)) = 6x - 9

Read more about composite functions at:

brainly.com/question/10687170

4 0
2 years ago
A line passes through the point (4,-4) and has a slope of 5/4.
tester [92]

Answer:

y = 5/4x - 9

Step-by-step explanation:

y = mx + b

when you plot 4, -4 you have your first clue and point. then go up 5 and right 4 or down5 and left 4. When you go down you will reach the y intercept. On the number- 9. So -9 is your y intercept which goes in b.

Since 5/4 goes in the mx since it is slope the answer is y = 5/4 - 9

6 0
3 years ago
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