Which graph represents the function f(x) = 3/2(2)x

Which Graph Represents The Function F(x) = 3/2(2)x

Answers

Answer 1

The fourth graph represents the function  [tex]f(x)=\frac{3}{2} 2^{x}[/tex]

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given function is [tex]y=\frac{3}{2} 2^{x}[/tex]

It is an exponential function and 2>1, therefore it is an increasing in nature.

put x=0 in the given function to find the y-intercept of the graph.

f(0)=3/2.2⁰

f(0)=3/2(1)

f(0)=3/2=1.5

So, the y-intercept is 1.5.

In figure 1 and figure 1 the y-intercept is 1,  in figure 2 the y-intercept is 2 , therefore first three options are incorrect.

In figure 4 the y-intercept is 1.5, therefore the option 4 is correct.

Hence, the fourth graph represents the function  [tex]f(x)=\frac{3}{2} 2^{x}[/tex]

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Related Questions

What type of function can be used to model the scenario?


Burton Guster invests $15,000 into an account that earns 6.5% compounded annually.




Linear



Exponential



Quadratic




2. What type of function can be used to model the scenario?


Jack adds 2 quarters to his piggy bank each week.




Linear



Exponential



Quadratic

Answers

Answer:

1. Exponential

2. Linear

Step-by-step explanation:

1. Exponential

Principal = 15000

Rate, r = 6.5% compounded annually

A = P(1 + r)^t

A = 15000(1 + 0.065)^t

A = 15000(1.065)^t

2. Linear

Let initial amount in bank = x

Amount added per week = 2

Number of weeks or period = t

A = x + 2t

Omg guys I need help with this question I've failed the test like 4 time because of this question and I give up. Can someone please help me with this?

Answers

Answer:

D. 270

Step-by-step explanation:

With the information given you can work your way around the table to fill in the blanks

300-120=180 Red-footed one-headed

180+200=380 total red-footed

650-380=270 total black-footed (answer)

270-120=150 black-footed two-headed

150+200=350 two-headed

Answer:

270

Step-by-step explanation:

300-120=180,to get one headed red footed

650-300=350, total two headed.

350-200=150, to get two headed black footed.

150+120=270, total black footed mizjigs

answer and explain pleaseee

Answers

Answer:

37³×51¹² is your answer ☺️☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

Person above is correct

Mark them brainliest

hiii help me please please pleasee

Answers

Answer:

a; d = 20n

Step-by-step explanation:

you can use the process of elimination and an example problem to help!

so if mason mowed 2 lawns, he'd make $40, right? now you could try each equation to see which one equals $40

a. d = 20(2) ⇒ d = 40

b. n = 20d ⇒ 2 = 20d ⇒ d = 0.1

c. d = 20 ÷ n ⇒ d = 10

d. n = 20 + d ⇒ 2 = 20 + d ⇒ d = -18

therefore, your answer would be A!

can someone plz help asap question is in pic (its about graphs)

Answers

Answer:

-4,0 and 6.

Step-by-step explanation:

f(x) = 0 is when y = 0.

If you look at the graph, there are 3 instances when y = 0

and it happens when x = -4, x = 0 and x = 6.

Therefore, the solutions of f(x) when y =0 are -4,0 and 6.

Chris is using the expression
m/8n
What is the value of the expression when m=4 and n=1/2

Answers

Answer:

1

Step-by-step explanation:

We plug in 4 for m and 1/2 for n.

[tex]\frac{4}{8(\frac{1}{2}) }[/tex] = [tex]\frac{4}{4}[/tex] = 1

Hope this helped!

Mr. Bucci goes to the grocery store and purchases
17 bags of raisins and a $2.97 jar of peanut butter.
His total cost was $34.76. What was the cost for a
bag of raisins?
Help

Answers

Make an equation
17b + 2.97 = 34.76
17b = 31.79
b = $1.87
A bag of raisins is $1.87

25+2(3 x 4) - 7=???
Show ur works please

Answers

Answer:

42

Step-by-step explanation:

25+2(12)-7

25 + 24 - 7

49 - 7

42

[tex] \huge \color{Red} Answer: [/tex]

[tex]25 + 2(3 \times 4 ) - 7 = [/tex]

[tex]25 + 2 \times 12 - 7 = [/tex]

[tex]25 + 24 - 7 = [/tex]

[tex]49 - 7 = 42[/tex]

[tex] \huge \color{Blue} Explaination: [/tex]

First, Multiply the numbers inside the parentheses.

Second, Also Parentheses is also a Multiply sign so Multiply 12 and 2.

Third, Follow the left to right rule so add 25 and 24.

Lastly, Subtract the last number.

[tex] \large \color{Purple} Rules \: of \: PEMDAS:[/tex]

Follow left to right rule. Also the PEMDAS rule like:

If you see a Parentheses do them first then Exponent next Multiplication and so forth.

[tex] \large \color{Green} PEMDAS \: stands \: for:[/tex]

P - ParenthesisE - ExponentM - MultiplicationD - DivisionA - AdditionS - Subtraction

Which is the most efficient way to solve this equation 8m=48

Answers

Answer:

by transposing method

m=48/8

m=6

Answer:

M=six

Step-by-step explanation:

because 48 divided by 8 is six so the answer is six

factorise the following
[tex] \frac{ {e}^{2} }{25} - \frac{ {f}^{2} }{36} [/tex]

Answers

Answer:

A pastry shop has fixed costs of

$

280

per week and variable costs of

$

9

per box of pastries. The shop’s costs per week in terms of

x

,

the number of boxes made, is

280

+

9

x

.

We can divide the costs per week by the number of boxes made to determine the cost per box of pastries.

280

+

9

x

x

Notice that the result is a polynomial expression divided by a second polynomial expression. In this section, we will explore quotients of polynomial expressions.

Simplifying Rational Expressions

The quotient of two polynomial expressions is called a rational expression. We can apply the properties of fractions to rational expressions, such as simplifying the expressions by canceling common factors from the numerator and the denominator. To do this, we first need to factor both the numerator and denominator. Let’s start with the rational expression shown.

x

2

+

8

x

+

16

x

2

+

11

x

+

28

We can factor the numerator and denominator to rewrite the expression.

(

x

+

4

)

2

(

x

+

4

)

(

x

+

7

)

Then we can simplify that expression by canceling the common factor

(

x

+

4

)

.

x

+

4

x

+

7

Answer:

Step-by-step explanation:

Use the identity :   a² - b² = (a + b )(a - b)

25 and 36 should be written in the form raised to power 2

25 = 5 * 5  = 5²

36  = 6 * 6 = 6²

[tex]\frac{e^{2}}{25}-\frac{f^{2}}{36}=\frac{e^{2}}{5^{2}}-\frac{f^{2}}{6^{2}}\\\\=(\frac{e}{5})^{2}-(\frac{f}{6})^{2}\\\\=(\frac{e}{5}+\frac{f}{6})(\frac{e}{5}-\frac{f}{6})[/tex]

Circumference of a circle is 14 pi what is the area in square inches express your answer in terms of pie

Answers

Answer: 49π inches²

Step-by-step explanation:

The formula for the circumference of a circle = 2πr

Since the circumference is 14π, we have to find the radius in order to solve the area.

2πr = 14π

r = 14π/2π

r = 7

Since area = πr²

= π × 7 × 7

= 49π inches²

I need help please, I will give brainliest to the first person that answers

Answers

Answer:

The answer is a.

Step-by-step explanation:

................................

1. 2x - 8 when x = 3





2. 45 - (4 . y) when y = 5





3. 32 + 2g -7 when g = 4

Answers

Answer:

2(3)-8

=-2

45-4.5

=40.5

32+2(4)-7

=33

Answer:

1.x37

2.66y

3.59g

Step-by-step explanation:

so you divied and subtract

you do the same

but add for the last

Evaluate the expression.

−(1/9)3

Answers

Answer:

- 1/729

Step-by-step explanation:

math

plz help me check if its right its kinda hard :(

Answers

Answer:

It is correct actually.

Step-by-step explanation:

141 + 39 = 180

Yeah, that's correct

Explanation: Supplementary angles add to 180 degrees. If angle R is 39 degrees then angle S has to be 141 degrees because 39 + 141 = 180.

17. What are the coordinates of Cedar Junction?
OA) (-4,5)
OB) (4,5)
OC) (-4,-5)
OD) (4,-5)

Answers

Answer:

(-4, -5)

Step-by-step explanation:

You have the option to deposit $6500 into an account that pays 3.25% interest, compounded quarterly OR to deposit your money into an account that pays the same interest rate but compounds continuously. Which option yields you more money after 5 years and how much more?

Answers

Answer:

Step-by-step explanation:

Plug in the giving information, P = 4000, r = 0.06, n = 4,

and t = 5.

Use the order or operations to simplify the problem. If the

problem has decimals, keep as many decimals as possible

until the final step.

FV = 5387.42  Round your final answer to two decimals places.

Secants ⎯⎯⎯⎯⎯⎯⎯⎯⎯ and ⎯⎯⎯⎯⎯⎯⎯⎯⎯ intersect in the exterior of a circle. ∠ measures 27.42° and the measure of DE is 73.18°. Determine the measure of BC.

Answers

Answer:

BC = 18.34°

Step-by-step explanation:

Recall: Exterior angle formed by 2 secants = ½(the difference of the measures of the intercepts arcs)

Thus:

m<BAC = ½(DE - BC)

27.42° = ½(73.18 - BC) => Substitution

Multiply both sides by 2

2*27.42 = 73.18 - BC

54.84 = 73.18 - BC

BC = 73.18 - 54.84

BC = 18.34°

Find the value of the variable A. 48 B. 180 C. 139 D. 39 ​

Answers

I am pretty sure it’s C

Sixth grade
R.
Are the ratios 5:10 and 2:4 equivalent?

Answers

Yes, 5:10 and 2:4 are equivalent.

5:10 (simplified) = 1:2

2:4 (simplified) = 1:2

Hope this helps; have a great day!

Answer:

Yes

Step-by-step explanation:

5:10 is equivalent to 2:4

Both can be simplified to 1:2

Acellus
Find the indicated side of the
triangle.
b
a
30°
12
12
[?]
a
Enter

Answers

Answer:

a = [tex]\frac{12}{\sqrt{3} }[/tex]

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{12}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

a × [tex]\sqrt{3}[/tex] = 12 ( divide both sides by [tex]\sqrt{3}[/tex] )

a = [tex]\frac{12}{\sqrt{3} }[/tex]

If x and y vary inversely and x = 1 when y = 11, find x when y = 5.5.

Answers

Answer:

If the variable Y being 5.5 it's because she was divisible by two. So if I divise X by 2 the reply is 0.5. So at least if y is 5.5, x is 0.5.

Step-by-step explanation:

MRS SMITH BOUGHT 3 YARDS OF RIBBON FOR 5.25. HOW MUCH WOULD 5 YARDS OF THE SAME RIBBON COST?
PLZ HURRY!

Answers

$8.75

Explanation: first you divide $5.25 by 3 to see how much each yard is. Each yard e yaks out to be $1.75, then you multiply $1.75 by 5 to get $8.75

2y to the power of 4 x 5y to the power of 3

Answers

Answer:

(2•5y to the 7th power)

Step-by-step explanation:

Step 1:  (2y to the 4th power • 5) • y to the 3rd power

Step 2:  (2•5y to the 4th power) • y to the 3rd power

Step 3:  3.1    y to the 4th power multiplied by y to the 3rd power = y to the  (4 + 3) power = y to the 7th power

Final answer:  (2•5y to the 7th power)

The expression [tex]2y^{4} * 5y^{3}[/tex]  is equal to 10[tex]y^{7}[/tex].

What is Multiplying Exponents?

When two expressions with exponents are multiplied, it is called multiplying exponents. The multiplication of exponents involves certain rules depending upon the base and the power.

What is multiplication of exponents with same base and different power?

When the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]

According to the question

[tex]2y^{4} * 5y^{3}[/tex]

Now,

Using the multiplying exponent rule :

the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]

Therefore,

As, base y is common in both the terms

= 10[tex]y^{4+3}[/tex]

= 10[tex]y^{7}[/tex]

Hence, the expression [tex]2y^{4} * 5y^{3}[/tex]  is equal to 10[tex]y^{7}[/tex].

To know more about multiplying exponent here:

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Please help, I’ll mark you as brainliest!!!!!

Answers

Answer:c

Step-by-step explanation:

"the difference of p and 4."

Answers

Answer:

p - 4 = ?

Step-by-step explanation:

Difference also mean subtraction, so that means you are required to subtract the variable p and 4.

Find the value of the expression 10x/y - x when x =4 and y =8

Answers

Step-by-step explanation:

step 1. 10x/y - x when x = 4, y = 8

step 2. 10(4)/8 - 4

step 3. 40/8- 4

step 4. 5 - 4

step 5. answer: 1

image down below if it is correct i will give brainliest

Answers

Answer:

it would be 17 im positive

Step-by-step explanation:

.

Answer: A) 8

Step-by-step explanation: since there are 8 girls every boy if there are 8 girls in the program 1x8=8 so there are 8 boys. plz mark me brainliest

Learn with an example
If a town with a population of 1,000 doubles in size every 7 years, what will the population be
14 years from now?
people
Submit

Answers

4000 will be the answer

1) Gary makes $15.00 per hour for a five-day
forty-hour work week. Also, he makes double-
time for holidays. This week, he works three
regular days and two holidays. What will be his
paycheck for this week?
A) $$40
B) $850
C) $860
D) $870
E) $880

Answers

Answer:

A) $840

Step-by-step explanation:

15•40 gives us how much money he makes a week normally

divide the result, 600, by 5 to find out how much he makes a day normally which is $120

now that we know how much he normally makes a day we can double $120 to $240 to show how much he makes on holiday days

so he makes $120 normally and $240 on holiday

120•3= 360

240•2= 480

then add

360+ 480= $840

hope this helps <3

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