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2 years ago

(-5)+(-2)+3 do the arrows correctly represent the numbers that Jessica is using in her expression

Mathematics

2 answers:

kirza4 [7]2 years ago

5 0

Will the answer to the expression is -4 but i don't see any arrows

blsea [12.9K]2 years ago

3 0

If you answer the expression, -5 + -2 + 3, you'll get -4 but you didn't put any arrows

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What is a quadratic polynomial function with zeros 3 and -3?

Lemur [1.5K]

Answer:

f(x) = x² - 9

Step-by-step explanation:

Given x = a is a zero of the polynomial f(x) then (x - a) is a factor

Given zeros are x = 3 and x = - 3, then corresponding factors are

(x - 3) and (x - (- 3) ), that is

(x - 3) and (x + 3)

The function is then the product of the factors, that is

f(x) = (x - 3)(x + 3) ← expand using FOIL

f(x) = x² - 9

8 0

3 years ago

Hernando and Rachel are factoring 2mp-6p+27-9m. Is either of them correct? Explain your reasoning,

vichka [17]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as Hernando and Rachel's solution are not provided. So, I will just solve the question directly.

Given

$2mp-6p+27-9m$

Required

Factor

$2mp-6p+27-9m$

Group into 2

$2mp-6p+27-9m = [2mp-6p]+[27-9m]$

Factor each group

$2mp-6p+27-9m = 2p[m-3]+9[3-m]$

Rewrite 3 - m as -(m-3)

So, we have:

$2mp-6p+27-9m = 2p[m-3]-9[m-3]$

Factor out m - 3

$2mp-6p+27-9m = [2p-9][m-3]$

3 0

2 years ago

Divide 132kg in a ratio of 3:3:5

skad [1K]

You have to add 3+3+5.
It equals 11.
Then divide 132 by 11.
It equals 12.
Then you have to put it into the ratio, so you multiply each number by 12.
So the ratio is 36:36:60

3 0

3 years ago

Solve the Anti derivative.

Alex Ar [27]

Answer:

$\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C$

General Formulas and Concepts:

Algebra I

Factoring

Calculus

Antiderivatives - integrals/Integration

Integration Constant C

U-Substitution

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Trig Integration: $\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C$

Step-by-step explanation:

Step 1: Define

$\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx$

Step 2: Integrate Pt. 1

[Integral] Factor fraction denominator: $\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx$
[Integral] Integration Property - Multiplied Constant: $\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx$

Step 3: Identify Variables

Set up u-substitution for the arctan trig integration.

$\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx$

Step 4: Integrate Pt. 2

[Integral] Substitute u-du: $\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du$
[Integral] Trig Integration: $\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C$
[Integral] Simplify: $\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C$
[integral] Multiply: $\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C$
[Integral] Back-Substitute: $\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C$

Topic: AP Calculus AB

Unit: Integrals - Arctrig

Book: College Calculus 10e

7 0

2 years ago

What is 3/4f + 5 = -5

anyanavicka [17]

3/4f + 5 = -5
Subtract 5 from both sides
3/4f= -10
Divide both sides by 3/4 so that the only thing remaining on the left side is the variable f.
Final Answer: f= 40/3 or 13 1/3 *Both answers are equivalent to each other.

5 0

3 years ago

Read 2 more answers