On a piece of paper, graph y - 3 > 2x + 2. Then determine which answer choice matches the graph you drew. A. Graph A B. Graph B C. Graph C D. Graph D

On A Piece Of Paper, Graph Y - 3 > 2x + 2. Then Determine Which Answer Choice Matches The Graph You

Answers

Answer 1

Answer: Graph C

Step-by-step explanation:

Answer 2

The correct graph is C.

What is an inequality?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given : On a piece of paper, graph y - 3 > 2x + 2.

To find : determine which answer choice matches the graph you drew,

y - 3 > 2x +  2

y > 2x + 5

x = 0

y > 5

x = - 3

y > - 1

at x = 0,  y = 5

0 < 5

origin does not lie in the shaded region,

as y > 2x + 5

line y = 2 x+ 5 is not part of solution (dotted line)

Hence Graph C is correct

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On A Piece Of Paper, Graph Y - 3 &gt; 2x + 2. Then Determine Which Answer Choice Matches The Graph You

Related Questions

How many terms uririei

Answers

Answer:

fkdoekenrnfrkdoki

Step-by-step explanation:

haha dokie

Txxtxtyxcy chcucycy hope this helps

The angles of a quadrilateral are in the ratio of 2:6:9:13

Find all the angles of the quadrilateral​

Answers

Answer:

24° , 72° , 108° , 156°

Step-by-step explanation:

Let the angles be 2x , 6x , 9x , 13x

We know that the sum of quadrilateral is 360°

Now,

[tex]2x + 6x + 9x + 13x = 360[/tex]

Calculate the sum

[tex]30x = 360[/tex]

Divide both sides of the equation by 30

[tex] \frac{30x}{30} = \frac{360}{30} [/tex]

Calculate

[tex]x = 12[/tex]

Replacing the value,

2x = 2 * 12 = 24°

6x = 6 * 12 = 72°

9x = 9 * 12 = 108°

13x = 13 * 12 = 156°

So, the angles are 24° , 72° , 108° , 156°

Hope this helps...

Good luck on your assignment...

Answer:

Below in bold.

Step-by-step explanation:

2+6+9+13 = 30.

Now there are 360 degrees in a a quadrilateral.

So the value of the shortest angle = 2/30 * 360

= 1/15 * 360

= 24 degrees.

In the same way the value of the other 3 angles is:

6/30 * 360,  9/30 * 360 and 13/30 * 360

= 72, 108 and 156 degrees.

P(2, 2), Q(1, -3), R(-4, 2), S(-3, 7) Using the information above, answer the following questions. Find the length of RS Find the length of SP Find the length of PQ Find the length of RQ Use this information to determine if the quadrilateral a parallelogram.

Answers

Answer:

Yes the Quadrilateral is a Parallelogram.

Step-by-step explanation:

A parallelogram can be defined as a quadrilateral i.e a geometric shape with four sides that has opposite sides parallel and equal in length.

From the question, we are given the following points

P(2, 2), Q(1, -3), R(-4, 2), S(-3, 7)

Given points: (x1, y1) and (x2, y2)

The formula would be

√(x2 - x1)² +(y2 - y1)²

a) P(2, 2), Q(1, -3)

Length PQ = √(1 - 2)² +(-3 - 2)² = √-1² + -5² = √26

b) R(-4, 2), S(-3, 7)

Length RS = √(-3 - (-4))² + (7 - 2) ² = √ 1² + 5² = √26

c) R(-4, 2), Q(1, -3)

Length RQ = √(1 - (-4))² + (-3 - 2)² = √5² + 5² = √(25 + 25) = √50

d) S(-3, 7), P(2, 2)

Length SP = √(2 - (-3))² + (2 - 7)² = √5² +(-5)² = √(25 + 25) = √50

From the above solution, we can see that

Length PQ = Length RS

Length RQ = Length SP

This means the opposite sides are parallel and equal in length, hence it is a Parallelogram.

simplify each expression using the proper order of operations. please help thank you so much :)

[tex]\frac{41 - 3^2}{\sqrt{36}* 3 - 26 }[/tex]= ?

12 + [tex]{3} \sqrt{8}[/tex]*(9-2)= ?

[tex]\frac{28-(7^2+3)}{-13+3*5}[/tex]= ?

[tex]\frac{28}{4}[/tex] -[tex]\sqrt[3]{8}[/tex]* [tex]\frac{2}{3}[/tex]= ?

7^2 - 5* 8+1= ?

(2* [tex]\sqrt{16}[/tex]) -([tex]\sqrt[3]{27}[/tex]* [tex]\sqrt{81}[/tex]) + 7= ?

Answers

Answer:

[tex]\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4[/tex]

[tex]12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}[/tex]

[tex]\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12[/tex]

[tex]7^2 - 5* 8+1 = 10[/tex]

[tex](2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18[/tex]

Step-by-step explanation:

Required: Solve the expressions using proper operation order

To solve this, we'll make use of BODMAS

--------------------------------------------------------------------------------------------------------

[tex]\frac{41 - 3^2}{\sqrt{36} * 3 - 26}[/tex]

Evaluate all squares and square roots

[tex]\frac{41 - 3*3}{\sqrt{36} * 3 - 26}[/tex]

[tex]\frac{41 - 3*3}{6 * 3 - 26}[/tex]

Evaluate the numerator (Start by multiplying 3 * 3)

[tex]\frac{41 - 9}{6 * 3 - 26}[/tex]

Subtract 9 from 41

[tex]\frac{32}{6 * 3 - 26}[/tex]

Evaluate the denominator (Start by multiplying 6 * 3)

[tex]\frac{32}{18 - 26}[/tex]

[tex]\frac{32}{-8}[/tex]

Divide 32 by -8

-4

Hence;

[tex]\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4[/tex]

--------------------------------------------------------------------------------------------------------

[tex]12 + 3\sqrt{8} * (9 - 2)[/tex]

Start by evaluating the bracket

[tex]12 + 3\sqrt{8} * 7[/tex]

Then evaluate the multiplication

[tex]12 + 21\sqrt{8}[/tex]

Simplify the square root

[tex]12 + 21\sqrt{4 * 2}[/tex]

Split the square root

[tex]12 + 21\sqrt{4} * \sqrt{2}[/tex]

Take Square root of 4

[tex]12 + 21 * 2} * \sqrt{2}[/tex]

[tex]12 + 42 \sqrt{2}[/tex]

Hence;

[tex]12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}[/tex]

--------------------------------------------------------------------------------------------------------

[tex]\frac{28 - (7^2 + 3)}{-13 + 3 * 5}[/tex]

Evaluate 7²

[tex]\frac{28 - (49 + 3)}{-13 + 3 * 5}[/tex]

Evaluate all expression in the bracket

[tex]\frac{28 - (52)}{-13 + 3 * 5}[/tex]

[tex]\frac{28 - 52}{-13 + 3 * 5}[/tex]

Evaluate 3 * 5

[tex]\frac{28 - 52}{-13 + 1 5}[/tex]

[tex]\frac{-2 4}{2}[/tex]

[tex]-12[/tex]

Hence;

[tex]\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12[/tex]

--------------------------------------------------------------------------------------------------------

[tex]7^2 - 5* 8+1[/tex]

Evaluate 7²

[tex]49 - 5* 8+1[/tex]

Evaluate 5 * 8

[tex]49 - 40 + 1[/tex]

[tex]10[/tex]

[tex]7^2 - 5* 8+1 = 10[/tex]

--------------------------------------------------------------------------------------------------------

[tex](2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1[/tex]

Evaluate all square root and cube root

[tex](2 * 4) - (3 * 9) + 1[/tex]

Solve the expressions in bracket

[tex]8 - 27 + 1[/tex]

[tex]-18[/tex]

Hence;

[tex](2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18[/tex]

PLEASE HELP! 10 POINTS!The graphs of f(x) and g(x) are shown below:
What are the solutions to the equation f(x) = g(x)?
Ox= -3,4
x = -4.2.5
X = -0.8, 2.5
X = 8.-8

Answers

Answer:

x = -4, 2.5

Step-by-step explanation:

To find the solution, look for the points where the line crosses the parabola. As this question only asks for the x-values, find the distance to the left and right of the y-axis. Here, it's -4 on the left and 2.5 on the right.

- 2x
f(x)= x +4,
4x - 7
XS-10
- 10 X2
20. Use the piecewise function to evaluate points f(-1), f(2), and f(12).
O A. f(-1) = 3, f(2) = 1, and f(12) = 41
B. f(-1) = 3, f(2) = 6, and f(12) = 41
O C. f(-1) = 2. f(2) = 1, and |(12) = 41
D. f(-1) = 2. f(2) = 6, and f(12) = 41

Answers

Answer:

[tex]f(-1) = 3[/tex]

[tex]f(2) = 6[/tex]

[tex]f(12) = 41[/tex]

Step-by-step explanation:

Given

The piece wise function can be split to:-

[tex]f(x) = -2x[/tex]   [tex]x\leq -10[/tex]

[tex]f(x) = x + 4[/tex]   [tex]-10<x\leq 2[/tex]

[tex]f(x) = 4x - 7[/tex]   [tex]x> 2[/tex]

Required

f(-1), f(2) and f(12)

To solve for each of these functions, we first check the range they fall into, then we execute the corresponding function

Solving f(-1)

-1 is within the range of [tex]-10<x\leq 2[/tex]

Hence; we make use of [tex]f(x) = x + 4[/tex]  

Substitute -1 for x

[tex]f(-1) = -1 + 4[/tex]

[tex]f(-1) = 3[/tex]

Solving f(2)

2 is within the range of [tex]-10<x\leq 2[/tex]

Hence; we make use of [tex]f(x) = x + 4[/tex]  

Substitute 2 for x

[tex]f(2) = 2 + 4[/tex]

[tex]f(2) = 6[/tex]

 

Solving f(12)

12 is within the range of [tex]x> 2[/tex]

Hence; we make use of [tex]f(x) = 4x - 7[/tex]  

Substitute 12 for x

[tex]f(12) = 4(12) - 7[/tex]  

[tex]f(12) = 48 - 7[/tex]

[tex]f(12) = 41[/tex]

Question 14 (1 point)
Saved
If f(x) = x2 + 5, f(-3) =
14
15
O 1) -
17
18
2-4
20
21
3) 14
O 4) 11
23
24
O 5)-11

Answers

Answer:

-6

Step-by-step explanation:

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -3), B(4, -3), C(4,5), and D(2,5) What is the perimeter of rectangle ABCD

Answers

Answer:

20

Step-by-step explanation:

(2,-3) to (4,-3) = 2

(4,-3) to (4,5) = 8

(4,5) to (2,5) = 2

(2,5) to (2,-3) = 8

Total =20

Answer:

20

Step-by-step explanation:

khan said so trust me

A lottery ticket costs $5. You pick 3 two-digit numbers (anything from 00 to 99) in order. If you match the first number only, you win $200. If you match the first two numbers and not the third, you win $5000. If you match all three numbers, you win $100,000. In two or more complete sentences, explain whether or not the game is fair. In your explanation, include all necessary calculations.

Answers

Answer:

00 to 99 are 100 numbers.

If you match the first number only, you win $200. The Probability for this is 1/100.

If you match the first two numbers and not the third, you win $5000. The Probability for this is 1/50.

If you match all three numbers, you win $100,000. The Probability for this is 3/100.

And, If you are a customer, You will think is fair for you.

But if you are the lottery tickets company, you will think is not fair for you.

It depends who you are. 

the game isn't fair because 100,000/3=3333 1/3, so each number should be worth $3333.3333...... dollars but you can't really give 1/3 dollars so the game is impossible to be fair. Also, if you match the first two numbers you apparently get $5000. That's also not fair because each number is worth $50 dollars more than if you get the first number matched. So, the game isn't fair but it will be pretty much impossible to be fair.

help please heeeeeeeeeeeeeeeeeeeeeeeeeeelp

Answers

Answer:

8.29166

Step-by-step explanation:

3.5_0.375+5.166666

Answer:

[tex]8 \frac{7}{24} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

10 rubber stamps cost $10.30 Which equation would help determine the cost of 2 rubber stamps?

Answers

10.30/10 = 1.03 per stamp 1.03 x 2 = $2.06 for two

Answer:
$2.06
Rounded:
$2.00

The cost of 2 rubber stamps is $2.

We have given that rubber stamps cost $10.30  

we have determined the cost of 2 rubber stamps.

We have to find the price per stamp.

What is the formula for the value price of one stamp?

[tex]1 samp price=\frac{cost for all stamp }{total number of stamp}[/tex]

Therefore we get,

10.30/10 = 1.03 per stamp

For two stamps:

1.03 x 2 = $2.06 for two

=$2.06

=$2

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Which of the following is the slope of line perpendicular to the y= -2/3x + 5? A.2/3 B.3/2 C.-2/3 D.-3/2

Answers

Answer:

+3/2 (Answer B)

Step-by-step explanation:

If the slope of a given line is m, then the slope of any line perpendicular to this given line is the negative reciprocal of the slope of the latter:

     -1

------------ = +3/2 (Answer B)

   -2/3

PLS RESPOND ASAP 7th grade math

Answers

Answer:

3/4

Step-by-step explanation:

The constant of proportionality is y/x

3/4

what is 10x^5 ÷ x^2​

Answers

Answer:

The quotient of 10x⁵ ÷ x² equals to 10x³

Step-by-step explanation:

In the problem, we are asked to find the quotient of 10x⁵ ÷ x². The rule of exponents is when you are dividing exponents, you subtract the exponential numbers. So, you would subtract 5 by 2 because those are our exponential values.

So, 10x⁵ ÷ x² equals 10x³

Need help with this question please:

Answers

Answer:

If the data is collected in a biased manner, or the number of observations is too small, the graph could be skewed. To ensure the data is not skewed, collect a large representative unbiased sample. Hope this helps

Step-by-step explanation:

On a coordinate plane, 2 quadrilaterals are shown. Quadrilateral Q R S T has points (negative 1, 0), (5, 0), (3.5, negative 6) and (negative 2.5, negative 6). Quadrilateral Q prime R prime S prime T prime has points (negative 1, 2), (1, 2), (0.5, 0), and (negative 1.5, 0). Quadrilateral QRST is dilated and translated to form similar figure Q'R'S'T'. What is the scale factor for the dilation?

Answers

Answer:

[tex]\dfrac{1}{3}[/tex].

Step-by-step explanation:

In quadrilateral QRST, Q(-1,0), R(5,0), S(3.5,-6), T(-2.5,-6).

In quadrilateral Q'R'S'T', Q'(-1,2), R'(1,2), S'(0.5,0), T'(-1.5,0).

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula , we get

[tex]QR=\sqrt{(5-(-1))^2+(0-0)^2}=\sqrt{6^2}=6[/tex]

[tex]Q'R'=\sqrt{(1-(-1))^2+(2-2)^2}=\sqrt{2^2}=2[/tex]

Now,  

[tex]\text{Scale factor}=\dfrac{Q'R'}{QR}[/tex]

[tex]\text{Scale factor}=\dfrac{2}{6}[/tex]

[tex]\text{Scale factor}=\dfrac{1}{3}[/tex]

Therefore the scale factor is [tex]\dfrac{1}{3}[/tex].

The given transformation of quadrilateral QRST to quadrilateral Q'R'S'T'

are a dilation and a translation, therefore,  QRST is similar to Q'R'S'T'.

[tex]\mathrm{The \ scale \ factor \ of \ the \ dilation\ between \ QRST \ and \ Q'R'S'T' \ is} \ \dfrac{1}{3}[/tex]

Reasons:

The vertices of the quadrilateral are;

Quadrilateral QRST

Q(-1, 0)

R(5, 0)

S(3.5, -6)

T(-1, 2)

Quadrilateral Q'R'S'T'

Q'(-1, 2)

R'(1, 2)

S'(0.5, 0)

T'(-1.5, 0)

The given transformation that gives quadrilateral Q'R'S'T' from quadrilateral  QRST are a dilation and a translation.

Required:

The scale factor of the dilation

Solution:

[tex]\mathrm{The \ scale \ factor \ of \ the \ dilation} = \dfrac{\mathrm{Length \ of \ \overline{Q'R'} }}{\mathrm{Length \ of \ \overline{QR}} }[/tex]

Length of [tex]\overline{Q'R'}} }[/tex] = 1 - (-1) = 2

Length of [tex]\overline{QR}} }[/tex] = 5 - (-1) = 6

Therefore;

[tex]\mathrm{The \ scale \ factor \ of \ the \ dilation} = \dfrac{2}{6} = \dfrac{1}{3}[/tex]

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The probability of picking a quarter from a jar of coins is 0.125. If Noah has 250 coins in the jar, about how many quarters are in the jar?

Answers

Answer:

31.25

Step-by-step explanation:

There are about 31 quarters in a the jar so if you need to round do accordingly! Have a good day

Answer:

31 quarters

Step-by-step explanation:

Have an equation set

Then you solve the equation you get 31.25

Round the number since you can't have 31.25 quarters it just doesn't make sense.

Round it to 31

Therefore your answer is 31 quarters

Hope this Helps!

I NEED THIS BY 11:50!!! PLEASE HELP, WILL MARK BRAINIEST IF CORRECT!
Use these expressions to answer the questions.
Expression A: (x + y)
Expression B: (x) + (y)
Choose a positive value for x and positive value for y. Then, do the following steps:
Substitute the x- and y- values into expression A and expression B.
Simplify.
Write the result of each expression. Repeat these steps for the next three situations: Choose a negative value of x and a negative value y. Choose a positive value of x and a negative value of y. Choose a negative value of x and a positive value of y. 2.
Describe any patterns you notice. Are the two expressions ever equal? Can one be greater than the other?

Answers

Answer:

Both expressions are equal. One expression cannot be greater than the others.

Step-by-step explanation:

The given expressions are:

A:   (x + y)

B:   (x) + (y)

Let x = a and y = b

A:   (a+b) = a+b

B:   (a)+(b) = a+b

Let x = -a and y = -b

A:   (-a+ (-b)) = -a-b

B:   (-a)+(-b) = -a-b

Let x = a and y = -b

A:   (a+(-b)) = a-b

B:   (a)+(-b) = a-b

Let x = -a and y = b

A:   ((-a)+b) = -a+b

B:   (-a)+(b) = -a+b

We can see the pattern that both expressions are always equal to each other, no matter what value of x and y you plug in. One expression cannot be greater than the other

True or false? It's possible to create a regular tessellation with a regular octagon.

Answers

The answer should be False

It is possible to create a regular tessellation with a regular octagon, is false.

What is regular tessellation?

A tessellation or tiling is the seamless covering of an area, frequently a flat, including one or much more geometric forms, known as tiles.

It is impossible to create a regular tessellation with a regular octagon because when an octagon is arranged, a gap is there.

Then the statement is false.

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Lina is making a trail mix of a hiking trip. She has 2 1/2 cups of peanuts, 3 1/4 cups of raisins, and 2 2/3 cups of banana chips. How many cups of trail mix can she make? Please answer this if you want too.

Answers

Answer: 8 cups of trail mix

Step-by-step explanation: Convert 2 1/2, 3 1/4, and 2 2/3 to decimals—2.5, 3.25, and 2.67. Then add them together to get 8.42. You need to round to 8, because you can only have a exact numbers of cups.

Hope this helps:)

In a triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= square root 2 .

Answers

Answer:

AC=2.06cm

Step-by-step explanation:

AC^2=AD^2+CD^2

AC^2=1.5^2+1.4142^2

AC^2=2.25+2=4.25

....

[tex] \sqrt{ac {}^{2} } [/tex]

=

[tex] \sqrt{4.25 = } 2.06[/tex]

Answer:

AC=2.06 cm

Step-by-step explanation:

Graph the equation by plotting three points -3y=x-6

Answers

Answer:

Use a graphing calc

Step-by-step explanation:

by what rational no. should -7/85 be multiplied to obtain 1/17?​

Answers

Answer:

-1/10115

Step-by-step explanation:

Let x be the rational number.

-7/85 × x = 1/17

x = 1/17 ÷ -7/85

x = 1/(17 × -7 × 85)

x = 1/(-10115)

x = -1/10115

The rational number is -1/10115.

Answer:

- 5/7

Step-by-step explanation:

-7/85*x= 1/17

x= 1/17 ÷ (-7/85)

x= - 1/17 × 85/7

x= - 5/7

A researcher posts a newspaper advertisement offering 520 in exchange for participation in a short study. The researcher accepts the first five people who respond to the advertisement which
of the following statements is true about the sample?
It is not a valid sample because it is only a short study
It is a valid sample because money was offered to participants
It is a valid sample because the first five people were selected to participate
It is not a valid sample because it is not a random sample of the population

Answers

Answer:

It's a valid sample because the first five people were selected to participate.

Step-by-step explanation:

True because random people who saw the advertisement responded. By chance, not every person who saw the advertisement answered, therefore it was random, but it would be more random if he decided to reject the second, fourth, sixth, and eighth person, and only the first, third, fifth, seventh, and ninth were chosen.

can someone simplify (3x)^4

Answers

Answer:

81x^4

Step-by-step explanation:

Apply the product rule to 3x

3^4x^4

Raise 3  to the power of  4

81x^4

please mark me brainliest!

Find the measures of the angles of the ∆ABC if m∠A : m∠B : m∠C = 2:3:4.

Answers

Answer:

m∠A = 2x = 2*20 = 40

m∠B = 3x = 3*20 = 60

m∠C= 4x = = 4*20 = 80

Step-by-step explanation:

we know sum of angles of triangle is 180 degrees

given

m∠A : m∠B : m∠C = 2:3:4

let the angle be

m∠A = 2x

m∠B = 3x

m∠C= 4x

we have taken such angle by applying rule of indices where

a:b:c = ax:bx:cx

which means that if we multiply all term of ratio by same number ratio remains same

thus,

2x+3x+4x = 180

9x = 180

x = 180/9 = 20

Thus,

m∠A = 2x = 2*20 = 40

m∠B = 3x = 3*20 = 60

m∠C= 4x = = 4*20 = 80

Which document do you need to have on hand when preparing to file your tax return?
O A.
auto insurance card
OB.
birth certificate
OČ.
driver's license
OD.
Form W-2
O E.
Form W-4​

Answers

Answer:

w-2

Step-by-step explanation:

To file your return, you'll need the following on hand: Your W-2: This form will come from your company and list not only your salary for the year but the amount of taxes withheld along the way. You're required to file your W-2 along with your taxes, so if you're a salaried employee, this form is non-negotiable.

The document you need to have on hand when preparing to file your tax return is Form W-2. The correct option is D.

What is tax return?

A tax return is a document filed with the tax authorities by individuals or businesses to report their income, expenses, and other relevant financial information in order to calculate their tax liability or refund.

It is usually filed once a year, and the information on it is used to determine whether the taxpayer owes additional taxes or is eligible for a refund.

Form W-2 is a form that an employer provides to an employee at the end of the year that shows the employee's total earnings as well as the amount of taxes withheld from those earnings.

It is a necessary document for accurately preparing and filing an individual's tax return.

Thus, the correct option is D.

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Lines L and M are parallel.
3/4
2 5
16
38° 7
-L
<-M
:
Find : m_1
Enter the number that
belongs in the green box.
[? ? ]
Enter

Answers

The answer is 142 degrees.

Explanation: They are supplementary angles meaning they equal 180degrees. So 180-38= 142

Find an equivalent function to f(x) = 5(3)^3x. (5 points)



Answers

Answer:

[tex]B. f(x) = 5(27)^x[/tex]

Step-by-step explanation:

Well lets graph it first,

Look at the image below ↓

By looking at the image we can tell that answer choice [tex]B. f(x) = 5(27)^x[/tex].

Thus,

answer choice B is correct.

Hope this helps :)

Answer:

The correct result would be f(x) = 5(27)x.

Step-by-step explanation:

If you would like to find an equivalent function to f(x) = 5(3)^(3x), you can do this using the following steps:

f(x) = 5(3)^(3x) = 5(3^(3x)) = 5(27)^x = 5(27)x

hope this helped :)

and what is distance jeremy jumps from the ramp to the fire escape is _______ feet (round to the nearest tenth of a foot)

Answers

Answer:

sin(70°) =10/x

The distance Jeremy jumps from the ramp to the fire escape is 10.6 feet

Step-by-step explanation:

From the question shown in the picture attached, the vertical height Jeremy has to jump is: 15 - 5 = 10 ft

A right triangle is formed, where the angle between the hypotenuse (called x) and one of the legs is: 160° - 90° = 70°, and the vertical height Jeremy has to jump, is the leg opposite to that angle.

From sine definition:

sin(70°) = opposite/hypotenuse

sin(70°) = 10/x

x = 10/sin(70°)

x = 10.6 ft

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