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DIA [1.3K]
3 years ago
5

Rewrite the function in intercept form y=x^2+8x+15

Mathematics
1 answer:
gavmur [86]3 years ago
3 0
<span>To do that, you need to set it all to zero and factor: x^2+8x+15 = 0 (x+5)(x+3) = 0 then put both those in parentheses chunks in their own equations x + 5 = 0 x + 3 = 0 and then simplify x = -5 x = -3 So the two points where the parabola crosses the x-axis are -5 and -3.</span>
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What numbers can go into 81 and 200
nasty-shy [4]
Number 1 & 2 both goes in 200. Numbers 9,3, & 27 goes into 81. Numbers 10,5,4,8,20, & 25 goes into 200. Hope this helps
3 0
4 years ago
What is the converse of the statement?<br> "If x - 2 = 5, then x = 7"
dlinn [17]

ANSWER

"If x=7, then x - 2 = 5"

EXPLANATION

Let

p \to \: q

be a propositional statement.

The converse of this statement is

q \to \: p

In other words, the converse of the statement,

"If p then q" is "If q, then p"

The given given conditional statement is

"If x - 2 = 5, then x = 7"

Therefore the converse is

"If x=7, then x - 2 = 5"

3 0
3 years ago
Let g be the function given by g(x)=-3x^2-2x+3 evaluate g(-2)
sashaice [31]

g(x) = -3x² - 2x + 3

g(-2) = -3(-2)² - 2(-2) + 3

g(-2) = -12 + 4 + 3 = -5

8 0
3 years ago
Lillian deposits $1,600 in an account at Excellence Bank. Find the amount of interest earned and the total value of her account
andrew-mc [135]
28,000 is the correct
7 0
3 years ago
Read 2 more answers
the sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger
Reil [10]
<h2>Answer:</h2>

x\geq 3 \ and \ x+1 \geq 4

<h2>Step-by-step explanation:</h2>

The question in this problem is:

<em>The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger. What are the numbers?</em>

<em />

First of all, let's name the first variable x which is the smaller number. Accordingly, the lager number will be x+1 given that those numbers are consecutive. On the other hand<em> at most </em>conveys the idea of an inequality, which is:

\leq \\ which \ means \ less \ than

So:

1. The sum of 2 consecutive integers can be written as:

v+(v+1)

2. Nine times the smaller and 5 times the larger can be written as:

9v-5(v+1)

Finally, the whole statement:

The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger:

x+(x+1) \leq 9x-5(x+1) \\ \\ x+x+1\leq 9x-5x-5 \\ \\ 2x+1 \leq 4x-5 \\ \\ 6 \leq 2x \\ \\

x+(x+1) \leq 9x-5(x+1) \\ \\ x+x+1\leq 9x-5x-5 \\ \\ 2x+1 \leq 4x-5 \\ \\ 6 \leq 2x \\ \\ \frac{6}{2} \leq \frac{2x}{2} \\ \\ 3 \leq x \\ \\ x\geq 3 \\ \\ and \\ \\ x+1 \geq 4

The two numbers are:

x\geq 3 \ and \ x+1 \geq 4

6 0
3 years ago
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