Consider the following statements about the effect of different values of a on the function y = ab^x. Which one of the statements, if any, is incorrect?

A. Values of a such that |a| > 1 will vertically stretch the graph of y = b^x.
B. Values of a such that 0 < |a| < 1 will vertically compress the graph of y = b^x.
C. Negative values of a will reflect y = b^x across the y-axis.
D. All of the above statements are correct.

Answers

Answer 1
All statements are correct.
Answer 2

No, There is no any sentences are incorrect.

Hence, All sentences are correct.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Consider the following statements about the effect of different values of a on the function,

⇒ y = a bˣ

Now, We know that;

For the value of a such that |a| > 1

The graph of y = bˣ is vertically stretch.

And, For the values of a such that 0 < |a| < 1;

The graph of y = bˣ is vertically compress.

And, When we take negative value of a.

Then, Function reflect y = bˣ across the y-axis.

Thus, There is no any sentences are incorrect.

Hence, All sentences are correct.

Learn more about the function visit:

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Related Questions

How many solutions will the following equation have? 2x - 7 = -3x + 5
a. One Solution
b. Infinite Solutions
c. No Solutions

Answers

Answer:

one solution lets see

[tex]2x - 7 = 3x + 5 \\ - x = 12 \\ x = - 12[/tex]

If you just want to check then substitute the value

[tex]2x - 7 = 3x + 5 \\ 2 \times ( - 12) - 7 = 3 \times ( - 12) + 5 \\ - 24 - 7 = - 36 + 5 \\ - 31 = - 31[/tex]

Hope it helps

The area of a square is 58 inches, what is the side length

Answers

Answer:

About 7.62

Happy learning!

--Applepi101

Answer:

the side length is ≈7.62 in

Step-by-step explanation:

maths question is here
9+92*12312

Answers

Answer:

it would be 101 i believe

Answer:

1,132,713

Step-by-step explanation:

9+ 92 * 12312

= 9 + 1,132,704

= 1,132,713

NEED HELP ASAP!!!!

3/4 + (1/3 ÷ 1/6) - (-1/2)=?
A:1/4
B:1 1/4
C:3/4
D:2 1/4

⚠️NO LINKS OR I WILL REPORT⚠️​

Answers

Answer:

anser is 3.24 or 3 and 1/4

Step-by-step explanation:

Answer:

3 1/4

Step-by-step explanation:

3/4+(1/3 ÷1/6)-(-1/2)=

3/4+(2)+1/2

3/4+5/2

3/4+10/4

13/4

3 1/4

A 15-foot ladder leans against the side of a house with its base 4 feet from the house. Use the Pythagorean Theorem to approximate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth.

Answers

Answer: The ladder reaches 14.46 feet up of the building.

Step-by-step explanation:

According to Pythagorean theorem,

In a right triangle,

(Hypotenuse)²= (Base)²+(perpendicular)^2

Using given information, we have

[tex](15)^2=(4)^2+(height)^2\\\\225=16+(height)^2\\\\(height)^2=209\\\\ (height)^2=\sqrt{209}\approx14.46\ feet[/tex]

Hence, the ladder reaches 14.46 feet up of the building.

A cupcake recipe takes 3 cups of flour for every 2 dozen cupcakes. How many cups of flour does Sally need to make 96 cupcakes? Use the table to help.​

Answers

Answer: 12 cups of flour

Step-by-step explanation:

12 cups of flour 3 + 3 + 3 + 3 = 12 because I have to make 96 cupcakes for tomorrow.

The amount of flour required will be 8 x 1.5 = 12 cups of flour. Option A is correct.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

To make 2 dozen cupcakes, the recipe requires 3 cups of flour. Therefore, for 1 dozen cupcakes, the recipe requires 1.5 cups of flour (since 2 dozen cupcakes = 2 x 1.5 = 3 cups of flour).

To make 96 cupcakes, Sally needs 8 dozen cupcakes (since 8 x 12 = 96). Therefore, the amount of flour required will be 8 x 1.5 = 12 cups of flour.

So, the answer is 12 cups of flour, and the explanation should be:

To make 2 dozen cupcakes, the recipe requires 3 cups of flour. Therefore, for 1 dozen cupcakes, the recipe requires 1.5 cups of flour. To make 96 cupcakes, Sally needs 8 dozen cupcakes.

Therefore, the amount of flour required will be 8 x 1.5 = 12 cups of flour.

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A mechanical system has 3 subsystems in series, each has reliabilities 98%, 96% and 94%, respectively. What is the overall reliability of the system

Answers

Answer:

The overall reliability of the system is 99.9952%

Step-by-step explanation:

Probability of the system not working:

None working, the first with 2% probability of not working(as it has 98% probability of working), the second with 4% and the third with 6%. So

0.02*0.04*0.06 = 0.000048

Probability of the system working:

1 subtracted by the probability of the systme not working.

1 - 0.000048 = 0.999952

0.999952*100% = 99.9952%

The overall reliability of the system is 99.9952%


A free carnival game offers a prize of $100 If you hit a balloon with a dart and $20 if you at least get the dart to stick on
the board. You win nothing otherwise. You play once. Let X be the amount of money you win. Which of the following
are possible values of X?
$80
$100
$20
$120
$0

Answers

Answer:

120 po

thanks again byeeee

what is the area of the pentagon shown below a.27 square feet b. 58.5 c.85.5 d.117

Explain why.

Answers

Answer:

Option B, Area of pentagon = 58.5 Square feet

Step-by-step explanation:

The remaining part of the question is attached as image

Solution

Area of pentagon has a triangle and a trapezoid

Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5  square feet

Area of trapezoid = Area of rectangle – 2* area of smaller triangles

= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2

= 54 – (1*6*1.5)

Area of pentagon = 13.5 + 45 = 58.5 Square feet

Hence, option B is correct

)A set of equations is given below:

Equation A: y = x + 1
Equation B: y = 4x + 5

Which of the following steps can be used to find the solution to the set of equations?

x + 1 = 4x + 5
x = 4x + 5
x + 1 = 4x
x + 5 = 4x + 1

Answers

Answer:

x + 1 = 4x + 5

Step-by-step explanation:

Simultaneous equations to solve x so equate the equations together.

Answer: x + 1 = 4x + 5 (first option)

A website has a 24-hour sale offering 12% off all purchases.

Dina buys a sweatshirt in the sale.
She pays £24.20 for the sweatshirt.

Calculate the original price of the sweatshirt.

Answers

Answer:

the given 24.20 is not the discount so we have to subtract it by 100%

Pls answer ASAP!! If you could give an explanation that would be awesome!!!

Answers

Answer:

D, u selected the right one

Step-by-step explanation:

A: asking the teachers who have cafeteria duty won't help you find out why students don't want to buy lunch.

B: the students that are already waiting in line for lunch won't help you find out why student don't want to buy lunch either because they are buying the lunch.

C: Asking all the teachers won't help because you want to know why students don't buy lunch

D: Asking students in the school will help because the students will be able to tell you exactly why THEY don't buy lunch.

Calculate the variance and the standard deviation for the following sample data. Scores: 7, 9, 0, 1, 7, 4, 4, 7, 6

Answers

Answer:

Variance = 9

Standard deviation = 3

Step-by-step explanation:

Step 1

Find the Mean

Means = Sum of values/Number of values

= 0 + 1 + 4 + 4 + 6 + 7 + 7 + 7 + 9/9

= 45/9

= 5

Step 2

The formula for Sample variance

= (x - Mean)²/n - 1

Where

n = number of values = 9

Hence:

Sample variance =

( (0 - 5)² + (1 - 5)²+ (4 - 5)² + (4 - 5)² + (6 - 5)² + (7 - 5)² + (7 - 5)² + (7 - 5)² + (9 - 5)²)/9 - 1

= (-5² + -4²+ -1² + -1² + 1² + 2² + 2² + 2² + 4²) /8

= (25 + 16 + 1 + 1 + 1 + 4 + 4 + 4 + 16)/8

= 72/8

= 9

Sample Standard deviation = √Sample variance

= √9

= 3

30p+2
can you please answer ​

Answers

Answer:

2(15p+1)

Step-by-step explanation:

hope this helps

Jeanette's Pie Shop recently sold 14 pies, of which 4 were blackberry pies. What is the experimental probability that the next pie sold will be a blackberry pie?

Write your answer as a fraction or whole number.

P(blackberry pie)=

Answers

Answer:

2/7

Step-by-step explanation:

All I did was just simplify the fraction 4/14

4/14=2/7

factorize (2u+3u)(u+v)-2u+3v​

Answers

Answer:

Step-by-step explanation:

(2u+3u)(u+v)-2u+3v

=2u(u+v)+3u(u+v)-2u+3v

=2u^2+2uv+3u^2+3uv-2u+3v

=5u^2+5uv-2u+3v

What is the diameter of a circle with a circumference of 11.27pi ft? Use pencil and paper.
The diameter is ... ft

Answers

Answer:

[tex]circumference = \pi \: d \\ 11.27\pi = \pi \: d \\ d = 11.27 \: ft[/tex]

solve the equation
2/3 x (−4/5)

Answers

The answer is -8x/15

Answer:

below is correct

Step-by-step explanation:

In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sum of the digits is 11, find the number. Plz give equation and answer.

Answers

Answer:

362

Step-by-step explanation:

Let the ones digit equal x. If the ones digit is one, then the hundreds digit is one more than it or x + 1. And, since the tens digit is twice the hundreds digit, you can say it is 2(x + 1) or as simplified: 2x + 2. Now, we are given the sum of the digits is 11, so if we add all of them, they should be equal to 11:

x + x + 1 + 2x + 2 = 11

We can combine like terms:

4x + 3 = 11

4x = 8

x = 2

So, the ones digit is 2. Since the hundreds digit is one more, it's 3. And because the tens is twice the hundreds, it's 6. The number is 362.

Answer:

362

Step-by-step explanation:

Hundreds:x

Tens:2x

Ones:x-1

x+2x+x-1=11=equation

3x-1=11

3x=12

x=4-1

x=3

|x| > - 16 what is the value of x

Answers

9514 1404 393

Answer:

  x ∈ all real numbers

Step-by-step explanation:

The given inequality is true for any value of x. The absolute value of a quantity is always greater than any negative number.

Multiply 3 1/3 x 1 1/7
write the answer in simplest form.

Answers

3 1/3 • 11/7= 3 17/21

Rita can make 8 cakes for a bakery each day. So far she has orders for more than 32 cakes. Right now, Rita needs more than four days to make cakes. Write the inequality for the statement in bold. The other numbers are not needed. Use m.

Answers

Answer:

m ≥ 4

Step-by-step explanation:

8m ≥32

m ≥ 4 where m is the number of days needed to make the cakes so it needs 4 or more days to make 32 cakes

An alligator if drawn at the scale of 1:84. In the drawing, it is 5.9 cm long. How long is the actual alligator? i am having troubles please help.

Answers

Answer: r

Step-by-step explanation:

Answer:

495.6 cm, or 4.956 m

Step-by-step explanation:

1:84 means that a centimeter on the drawing has to be multiplied 84 times in order to find the real length. Therefore, 5.9 x 84 = 495.6

A store has a sale with 10% off every item. When you enter the store, you receive a coupon that states that you receive an additional 10% off. Is this equal to a 20% discount

Answers

Answer: It's not equal to 20% discount.

Step-by-step explanation:

Let's assume the cost of a good is $100. Since there's 10% off on every item, the cost of the good will be:

= $100 - (10% × $100)

= $100 - $10

= $90

Since the coupon states that one will receive an additional 10% off, therefore the amount that the person will pay will be:

= $90 - (10% × $90)

= $90 - (0.1 × $90)

= $90 - $9

= $81

If the same good is $100 and there's a 20% discount, the amount that'll be paid will be:

= $100 - (20% × $100)

= $100 - (0.2 × $100)

= $100 - $20

= $80

Therefore, it's not equal to 20% discount.

What is the median of these numbers 2.4,2.8,2.3,2.9,2.9

Answers

Answer:

2.8

Step-by-step explanation:

x2.3, x2.4, 2.8, x2.9, x2.9

0.009 divided by 0.001

Answers

Answer:

9

Step-by-step explanation:

0.001 · 9 = 0.009

It’s 9 the answer is 9

To simplify the following expression, which operation would you complete third?

9 + (16 - 2) 42 ÷ 8
simplify the exponent
multiply
add
divide

Answers

The rule of PEMDAS states that Parentheses always comes first, exponents always comes second, but Multiplication and Division are equal. Because multiplication and division are equal, you work left to right and do whatever operation comes first. Multiplication and division come before addition and subtraction, which also have an equal relationship.

Therefore, if you have simplified the terms inside the parentheses first, and have done the exponents second, then multiplication would come next. So that’s the answer, multiplication.
The answer is Multiply

Question 4(Multiple Choice Worth 1 points) (06.07 LC) Which expression is equal to 3x? Ox+ 3 Ox+ x + x O x + x2 0 2x + 1 ting​

Answers

Answer:

the answer is :.......

x+x+x

Answer:

x+x+x

Step-by-step explanation:

Cathy lives in a state where speeders are fined $15 for each mile per hour over the speed limit. Cathy was given a ticket for $105 for speeding on a road where the speed limit is 60 miles per hour. How fast was Cathy driving?

Answers

Given :

Cathy lives in a state where speeders are fined $15 for each mile per hour over the speed limit.

Cathy was given a ticket for $105 for speeding on a road where the speed limit is 60 miles per hour.

To Find :

How fast was Cathy driving.

Solution :

Let, speed of Cathy is v miles per hour.

Number of miles per hour over the speed limit, n = v - 60 miles per hour.

It is given that speeders are fined $15 for each mile per hour over the speed limit.

So, total amount of fine for Cathy is :

105 = 15×( v - 60 )

v-60 = 7

v = 67 miles per hour

Therefore, Cathy was driving with speed of 67 miles per hour.

Jim sells hot dogs for $2.95 each and steak sandwiches for $9.95 each out of his food cart. During a busy outdoor festival, he sold a total of 985 items for $7343.75. How many steak sandwiches did he sell?

Answers

Answer:

634 steak sandwiches.

Step-by-step explanation:

Let's say X is the number of hot dogs and Y is the number of steak sandwiches.

2.95x + 9,95y = 7343.75

x + y = 985

y = 985 - x

2.95x + 9.95(985-x) = 7343.75

2.95x + 9800.75 - 9.95x = 7343.75

7x = 2457

x = 351

y = 985 - 351

y = 634

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