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2 years ago

Could someone help me out?

Mathematics

1 answer:

Brums [2.3K]2 years ago

7 0

Answer:

y = 120°

Step-by-step explanation:

y = 120° because opposite angles of two intersecting lines are equal

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What are the discontinuity and zero of the function f(x) = quantity x squared plus 6 x plus 8 end quantity over quantity x plus

Tcecarenko [31]

Answer:

Discontinuity at (-4,-2), zero at (-2,0).

Step-by-step explanation:

We are given that a function

$f(x)=\frac{x^2+6x+8}{x+4}$

We have to find the discontinuity and zero of the given function.

Discontinuity: It is that point where the function is not defined.

It makes the function infinite.

$f(x)=\frac{x^2+4x+2x+8}{x+4}$

$f(x)=\frac{(x+4)(x+2)}{x+4}$

When x=-4 then

$f(-4)=\frac{0}{0}$ It is indeterminate form

Function is not defined

After cancel out x+4 in numerator and denominator then we get

$f(x)=x+2$

Substitute x=-4

$f(-4)=-4+2=-2$

Therefore, the point of discontinuity is (-4,-2).

Zero: The zero of the function is that number when substitute it in the given function then the function becomes zero.

When substitute x=-2

Then , $f(0)=-2+2=0$

The function is zero at (-2,0).

Hence, option C is true.

6 0

3 years ago

URGENT!!!! WILL GIVE BRANLIEST !!! AT LEAST TAKE A LOOK!!!!!! Find cosP. A) COS=29/21 B) ) COS=21/29 C) ) COS=20/29

Rina8888 [55]

Answer:

C. cos 20/29

Step-by-step explanation:

Cosine is adjacent over hypotenuse, like SohCahToa. Therefore, 20 is the adjacent side and 29 is the hypotenuse (hypotenuse is always the longest side).

3 0

3 years ago

Mr.Nguyen saves $120 of his income of 800.00 what percent of his income does Mr.Nguyen save?

zhuklara [117]

Nguyen saves 15% of his income

<h3>How to determine the percentage?</h3>

The given parameters are:

Savings = $120

Income = $800

The percentage saved is calculated as:

Percentage = Savings/Income * 100%

This gives

Percentage = 120/800 * 100%

Evaluate

Percentage = 15%

Hence, Nguyen saves 15% of his income

Read more about percentage at:

brainly.com/question/843074

#SPJ1

3 0

2 years ago

An art history professor assigns letter grades on a test according to the following scheme.A: Top 5% of scoresB: Scores below th

adoni [48]

Answer:

Grade B score:

$76 \leq x \leq 89$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73.3

Standard Deviation, σ = 9.7

We are given that the distribution of score on test is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

B: Scores below the top 5% and above the bottom 62%

We have to find the value of x such that the probability is 0.62

$P( X > x) = P( z > \displaystyle\frac{x - 73.3}{9.7})=0.62$

$= 1 -P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.62$

$=P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.38$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 73.3}{9.7} = 0.305\\\\x = 76.26$

We have to find the value of x such that the probability is 0.05

$P(X < 0.95) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 73.3}{9.7})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 73.3}{9.7} = 1.645\\\\x = 89.26$

Thus, the numerical value of score to achieve grade B is

$76 \leq x \leq 89$

7 0

3 years ago

3/4x+3-2x= -1/4+1/2x+5<br> What is the value of x

lions [1.4K]

Step-by-step explanation:

3/4x+3-2x=1/4+1/2x+5

x=2/-3

5 0

2 years ago

Could someone help me out?​

Could someone help me out?