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3 years ago

Use the table to identify values of pand a that can be used to factor

Mathematics

2 answers:

Mashutka [201]3 years ago

8 0

Answer:

D. -3 and 4

Step-by-step explanation:

-12 = -3 x 4

-3 + 4 = 1

x^2 + x - 12

= (x - 3)(x + 4)

Answer

D. -3 and 4

BartSMP [9]3 years ago

6 0

ANSWER

D. -3 and 4

EXPLANATION

The given quadratic trinomial is

${x}^{2} + x - 12$

To factor this we need to find two factors of -12 that sum up to 1, the coefficient of x.

We can see from the table that, when p=-3 and q=4, then p+q =1.

The trinomial can now be factored as:

${x}^{2} + x - 12 = (x - 3)(x + 4)$

The correct answer is D.

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Help triangle sum therom and idk what to do

m_a_m_a [10]

Your answer would be x = 12

The triangle sum theorem states that the 3 angles in a triangle equal 180.

Since we have a 90 degree angle shown, we can add it to the other two and set it equal to 180.

30+90+6x-12=180
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3 years ago

The Super Bounce brand of bouncy balls rebounds to 85% of the height from which it was dropped. Write both the explicit and recu

jarptica [38.1K]

Answer:

Explicit formula is $h(n)=4(0.85)^{n-1}$ .

Recursive formula is $h_n=0.85h_{n-1}$

Step-by-step explanation:

Step 1

In this step we first find the explicit formula for the height of the ball.To find the explicit formula we use the fact that the bounces form a geometric sequence. A geometric sequence has the general formula , $a_{n+1}=ar^{n-1}.$ In this case the first term $a_o=4$ , the common ratio $r=0.85$ since the ball bounces back to 0.85 of it's previous height.

We can write the explicit formula as,

$h(n)=4(0.85)^{n-1}.$

Step 2

In this step we find the recursive formula for the height of the ball after each bounce. Since the ball bounces to 0.85 percent of it's previous height, we know that to get the next term in the sequence, we have to multiply the previous term by the common ratio. The general fomula for a geometric sequene is $a_n=a_{n-1}\times r.$

With the parameters given in this problem, we write the general term of the sequence as ,

$h(1)=4\\h(n)=h_{n-1}\times 0.85.$

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3 years ago

Read 2 more answers

Need help i don't understand

yKpoI14uk [10]

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photoshop1234 [79]

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