Which of the following functions is graphed below?
A. y = |x + 5|+ 4
B. y = |x -5| + 4
C. y = |x + 5| - 4
D. y = |x- 5| - 4

Step-by-step explanation:

Since the x-intercepts are -20 and 40, the line of symmetry is x = (-20 + 40)/2 = 10.

Now we have y = a(x - 10)² + 30, where a is an unknown constant. We can find a by using an x-intercept point.

=> (0) = a[(40) - 10]² + 30

=> 900a + 30 = 0, a = -1/30.

Hence the rule is y = -(x - 10)²/30 + 30.

Answer:

230

Step-by-step explanation:

Answer:

option d or last one

GOOD LUCK FOR THE FUTURE! :)

Answer:

The answer is cotx=adjacent/opposite

Step-by-step explanation:

I took the test and this is correct!!

Answer:

x = 28

Step-by-step explanation:

x + 40 + 22 = 90      {Complementary angles}

        x + 62 = 90

              x = 90 - 62

              x = 28

Answer:

He will earn 2 dollars per year with 40 dollars in his account. the next year he will get 2.1 dollars.

Step-by-step explanation:

Answer:

Polynomial Degree:

6

Leading Term:

x⁶

Leading Coefficient:

1

Answer:

Step-by-step explanation:

hello :

here is an solution

Answer: voluntary response sampling

Step-by-step explanation:

Based on the information given in the question, the sampling technique that is being used is the voluntary response sampling.

A voluntary response sampling refers to a sample which is gotten when a researcher tells the members to join a particular sample and then the ones that are interested then joins. Such participants volunteer voluntarily and take part in the research studies and give their opinions on the topic.

Since the student organization at a local college posted a poll on its website and the interested students took part, it is a voluntary response sampling.

Step-by-step explanation:

[tex] {2.71 \times 10}^{ - 3} [/tex]

This can be rewritten as

[tex]2.71 \times \frac{1}{10^{3} } [/tex]

If we will solve this way,

[tex]\frac{2.71}{1000} = 0.00271[/tex]

But since the denominator is just in terms of 1, we can just simply get the (-3). Note that we have to take the negative into consideration.

From the original position of the decimal point, move the decimal point 3 times TO THE LEFT. Therefore, from 2.71 we move the decimal point 3 times to the left, 0.00271.

If the exponent has a positive value, move TO THE RIGHT.

For example,

[tex]2.71 \times {10}^{3} = 2.71 \times 1000 \\ = 2710[/tex]

Note that the exponent has a positive value. Therefore, we have to move the decimal point 3 times TO THE RIGHT. Producing 2710 as the answer.

Answer:

D. The y-intercept is at (0,2)

Step-by-step explanation:

f(x) = 2^x and g(x)=2f(x) so g(x) = 2(2)^x

In the exponential function ab^x a is the y-intercept (in this case a is 2)

Y-intercept of g(x) at (0,2) which is correct option(D).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

f(x) = 2ˣ

g(x) = 2f(x) = 2(2ˣ)

The y-intercept of g(x) = 2f(x),

Substitute in 0 for x and solve for y

y=2(2⁰)

Anything raised to 0 is 1 .

y=2

Y-intercept in point form.

Hence, y-intercept of g(x) : (0,2)

Learn more about Graph here :

https://brainly.com/question/16608196

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because 2^28 = 268,435,456

Answer:

Andrew is incorrect.

Step-by-step explanation:

He is incorrect because instead of multiplying 2 x 28, he should have did 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2, which is 268,435,456.

I tm pretty sure this is correct, please comment if it is right or wrong

Answer:

-1 + 2 + 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26

10 terms

sum = 125

Answer:

x = 2

Step-by-step explanation:

We need to write an integer that is 5 more than -3.

Let the integer be x.

So,

x = 5+(-3)

x = 5-3

x = 2

Hence, the required integer be 2.

Answer:

12 or 13

Step-by-step explanation:

14 labourers complete the job in 3 days.

The ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Given data as :

It takes 6 labourers 7 days to complete a job,

Amount of work completed by 6 labourers over 7 days  = 1

∵ Six labourers completed part of the work in one day = 1/7

∴ one labourers completed part of the work in one day  = (1/6)(1/7) = 1/42

Let x number of labourers complete the job in 3 days.

x × 3 ×(1/42) = 1

x = 42/3

x = 14

Hence, 14 labourers complete the job in 3 days.

Learn more about the Ratio here :

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Answer:

After 5 nights they will have read the same number of pages. It would be 27 pages.

Step-by-step explanation:

12+3x=7+4x

12=7+x

5=x

12+3(5)=27

7+4(5)=27

Hope this helps!:)

Answer:

the answer should be I= 1.51

Answer:

i=1+0.51/1

Step-by-step explanation:

5.6=i+4.09

We move all terms to the left:

5.6-(i+4.09)=0

We get rid of parentheses

-i-4.09+5.6=0

We add all the numbers together, and all the variables

-1i+1.51=0

We move all terms containing i to the left, all other terms to the right

-i=-1.51

i=-1.51/-1

i=1+0.51/1

Answer:

about 137 degrees

Step-by-step explanation:

see attached picture

Answer:

id say just try your best or guess

Step-by-step explanation:

ouu try to put it in a calculator but uhm my answer would be a

Answer:

2+2=4

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

2x2x13=52

2x2x5=20

52+20=72

Answer:

The degree of the equation is 5.

Step-by-step explanation:

At first we have a 4 polinomyal expressions. Something happens here that in the third step we only have 2 polynomial expressions.

What is occuring? In this case, we just grab two polynomial and try to reduce the expression to a simple expression (And larger) so, we take the first two polynomial expressions:

(2x + 3) * (x² - 1)

In this case, the first term will multiply the first and second term of the second polynomial expression, and after that, the second term of the first polynomial do the same thing with the other two terms:

(2x * x²) + (2x * -1) + (3 * x²) + (3 * -1)

= 2x³ - 2x + 3x² - 3

Now, we apply the same thing with the other two expressions:

(x + 1) * (x - 2)

= (x * x) + (x * -2) + (1 * x) + (1 * -2)

= x² - 2x + x -2

= x² - x - 2

For the last step, we do the same thing, only that in this case is larger cause we have a bigger expression, but the principle is the same. To get a better understanding I will put every operation by line so you won't get confused:

(2x³ - 2x + 3x² - 3) * (x² - x - 2)

= (2x³ * x²) + (2x³ * -x) + (2x³ * -2)

+ (-2x * x²) + (-2x * -x) + (-2x * -2)

+ (3x² * x²) + (3x² * -x) + (3x² * -2)

+ (-3 * x²) + (-3 * -x) + (-3 * -2)

= (2x⁵ - 2x⁴ - 4x³)  

+ (-2x³ + 2x² + 4x)

+ (-3x⁴ - 3x³ - 6x²)

+ (-3x² + 3x + 6)

Simplifying:

The term with the highest exponent will determine the degree of the equation. So the equation is 5th degree.

Hope this helps

Answer:

Faces

Step-by-step explanation:

They both have 5 faces each....

Hope it helps!!!

Answer:

8 x 17 = 136 give me brainliest

Step-by-step explanation:

Answer:

sum of all angle = 180

given angle = 3X, 4 X AND 5 X

3 X + 4 X+ 5 X = 180

12 X = 180

X = 180/ 12

X = 15

X= 15 IS apply to given angle.

3 X= 3 ×15 = 45

4 X= 4 ×15 = 60

5 X = 5 ×15 =75

ANS; The smallest angle is 45

Step-by-step explanation:

Answer:

Reduce the expression, if possible, by eliminating common factors.

Exact form:

1/30

Decimal form:

0.03

Answer:

the answer is about 7.5

Step-by-step explanation:

hope this helps

tell me if you want me to explain it

Answer:

The ratio of students who study French to the students who don’t study French is [tex]\frac{4}{11}[/tex]

Step-by-step explanation:

2/3 of the students study a language. Of those, 2/5 study french:

So the proportion of students who study French is given by:

[tex]\frac{2}{3} \times \frac{2}{5} = \frac{2*2}{3*5} = \frac{4}{15}[/tex]

Proportion of students who dont study French:

[tex]1 - \frac{4}{15} = \frac{15-4}{15} = \frac{11}{15}[/tex]

Ratio of students who study French to the students who don’t study French.

Division of fractions is the multiplication of the numerator by the inverse of the denominator. Ratio of a to b is a divided by b. So

[tex]\frac{\frac{4}{15}}{\frac{11}{15}} = \frac{4}{15} \times \frac{15}{11} = \frac{4}{11}[/tex]

The ratio of students who study French to the students who don’t study French is [tex]\frac{4}{11}[/tex]

Answer:

2√5............or..........4.47214