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Firdavs [7]
3 years ago
15

Given P (x)=x^2+2x-7, find P (-3)

Mathematics
1 answer:
leva [86]3 years ago
8 0

Answer:

P(-3) = -4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

P(x) = x² + 2x - 7

P(-3) is x = -3

<u>Step 2: Evaluate</u>

  1. Substitute:                    P(-3) = (-3)² + 2(-3) - 7
  2. Exponents:                   P(-3) = 9 + 2(-3) - 7
  3. Multiply:                        P(-3) = 9 - 6 - 7
  4. Subtract:                       P(-3) = 3 - 7
  5. Subtract:                       P(-3) = -4
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Heather had to collect insects for her biology project. She was able to collect 225 total insects. She collected 8 times as many
GREYUIT [131]

200 flying insects she catch for her project .

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

We have , Heather had to collect insects for her biology project. She was able to collect 225 total insects. She collected 8 times as many insects that could fly as insects that couldn't fly. That means insects ratio of non-fly to fly is 1:8 .

There are a total of 225 insects , and for every one non fly insect there are 8 fly insects  , Let x be the number of insects that can't fly so:

x + 8x = 225

⇒ x + 8x = 225

⇒ 9x = 225

⇒ \frac{9}{9}x = \frac{225}{9}

⇒ x = \frac{225}{9}

⇒ x = 25

So , Number of fly insects = 8x = 8(25) = 200 . ∴ 200 flying insects she catch for her project .

5 0
3 years ago
Which of the following quartic functions has x= -1 and x = -3 as its only two real zeros
Komok [63]

Answer:

f(x) = x² + 4x + 3

Step-by-step explanation:

Here in this problem, we have to find the quadratic function that has x = - 1 and x = - 3 as the only two real zeros.

So, from the above condition, we can say that (x + 1) and (x + 3) are the only two factors of the function.

Therefore, the function will be f(x) = (x + 1)(x + 3), such that if the function is zero, then the solutions will be x = - 1 and x = - 3.

Hence, f(x) = x² + 4x + 3 (Answer)

7 0
3 years ago
Mark all the integers below.<br><br> 9.12<br><br> -17<br><br> 32<br><br><br><br> -1
nata0808 [166]
The integers are -17, 32, and -1.

Integers are actually whole numbers that can carry a negative sign (-) before it. Fractions and decimals are not integers.

Hope it helps.
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Step-by-step explanation:

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