Caleb claims that the order pairs shown in the table below are from a nonlinear function.

x f(x)
0 2
1 4
2 8
3 16

please show your work

Answer:

2S + 0.065(2S)

Step-by-step explanation:

Since S is the price of a shirt, the price of two shirts would be 2 x S = 2S

a tax is a compulsory sum levied on goods and services. tax increases the price of a good

The price of the 2 shirts would increase by the amount of tax ; 0.065(2S)

This gives = 2S + 0.065(2S)

Alternatively, since two shirts were purchased, the amount of tax would be twice 0.065 - 0.13 - S + S + 0.13S

We want to write two expressions that represent the total cost of the shirts, the expressions are:

Cost = P*(1.065) +  P*(1.065)

cost = P*2.13

We know that Benita buys two shirts for the same price, P.

Then at this moment. the total cost is just:

cost = 2*P

Now we apply a 6.5% tax, then the price increases by 6.5%, this is written as:

P' = P*(1 + 6.5%/100%) = P*(1.065)

Then the total cost is twice that amount, written as:

Cost = P*(1.065) +  P*(1.065)

This can be one of the two expressions.

Now to get the other expression, we just simplify the above one:

cost = 2*P*(1.065) = P*2.13

If you want to learn more, you can read:

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Answer:

LN = 4.326

Step-by-step explanation:

dropping a perpendicular from point k to LM

call that point on line LM, point X

angle KLM = 47 degrees so angle NKL = 28 degrees

sin 47 = KX/8.9

KX = 6.509

angle LKX = 90-47-28 = 15 degrees

tan 15 = XN/6.509

XN = 1.744

cos 47 = XL/8.9

XL = 6.070

XL-XN=LN

LN = 6.070-1.744 = 4.326

Answer:

Step-by-step explanation:

k/9=10/3 multiply both sides by 9

k=90/3

k=30

Answer:

Hello

[tex] \frac{10}{3} = \frac{k}{9} \\ 10 \times 9 = 3k \\3 k = 90 \\ k = 90 \div 3 \\ k = 30[/tex]

hope it helps

Have a nice day

Answer:

10x+2y

8c+2

0

Step-by-step explanation:

Answer:

10 cans of paint

Step-by-step explanation:

Find the total area of the room

Divide the answer by 10meter squared.

Answer:

the answer will be b that should be the answer

i think 2 bags or 1 bags hope it helps

The area of the farmer's land is 54 square yards and number of bags needed is 2. The correct option is (B).

A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

For the given diagram, the following data is given as,

Base of the upper and lower triangle is 6.5 + 2.5 = 9 yards.

And, the height is given as 6 yards.

Now, the area of the land can be given as,

Area of upper triangle + Area of lower triangle

⇒ 1/2 × 9 × 6 +  1/2 × 9 × 6

⇒ 54 square yards.

As per the question, the area of the land is more than the soil contained in 1 bag.

Which implies the number of bags required is given as 2.

Hence, the area of land and number of bags required is obtained as  54 square yards and 2 respectively.

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Answer:

C

Step-by-step explanation:

The discriminant informs us about the nature of the zeros

• If b² - 4ac > 0 then 2 real and distinct zeros

• If b² - 4ac = 0 the 2 real and equal zeros

• If b² - 4ac < 0 then zeros are not real

The graph crosses the x- axis at 2 distinct zeros, then

b² - 4ac > 0 , that is positive → C

Answer:

SA=72

Step-by-step explanation:

18+18=36

12+12=24

6+6=12

36+24+12=72

Answer:

[tex]y=3x-15[/tex]

Step-by-step explanation:

Slope intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

1) Find the slope of the line ([tex]m[/tex])

When it comes to parallel lines, they will always have the same slope but different y-intercepts. The given equation is [tex]y=3x-5[/tex]. Because 3 is in the place of m, we know that the slope of the line is 3. Therefore, the slope of the line parallel to it will also be 3. So far, this is what our equation looks like:

[tex]y=3x+b[/tex]

2) Find the y-intercept ([tex]b[/tex])

To find the y-intercept, we plug the given point (4,-3) into the equation we currently have and solve for b.

[tex]y=3x+b\\-3=3(4)+b\\-3=12+b[/tex]

Subtract both sides by 12

[tex]-3-12=12+b-12\\-15=b[/tex]

Therefore the y-intercept of our line is -15. Plug -15 back into the original equation as b.

[tex]y=3x+(-15)\\y=3x-15[/tex]

I hope this helps!

Answer:

C) log 10.000=a,5%4%4(1):53))?/

Answer:

c

log 10,000 = 4

Step-by-step explanation:

got it right on the test

Answer:

3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Whenever you are multiplying any numbers or dividing you count them as terms. Since you are multiplying two numbers there will be 2 terms you don't count them if you add.

Tell me if I'm wrong and please explain.

Answer:

19.9875 feet

Step-by-step explanation:

The formula is given as:

Shadow of the student/Height of the student = Shadow of the telephone pole/Height of the telephone pole.

1 inch = 0.0833 feet

Shadow of the student = 5ft

Height of the student = 5 feet 4 inches

4 inches to feet

= 4 × 0.0833 feet

= 0.33 feet

Hence: Height of the student = 5 + 0.33 = 5.33 feet

Shadow of the telephone pole = 18 feet 9 inches long

9 inches to feet

= 9 × 0.0833 feet

= 0.75 feet

Hence: Shadow of the telephone pole = 18 + 0.75 = 18.75 feet

Height of the telephone pole= x

Therefore:

5/5.33 = 18.75/x

Cross Multiply

5x = 5.33 × 18.75

x = 5.33 × 18.75/5

x = 19.9875 feet

The height of the telephone pole = 19.9875 feet

Answer:

Yes the triangles are similar.

if you look at Angle C it's 60° and F is also 60°

60 + 67 is 127

127 + 53 is 180° which is the amount a triangle is. (assuming that E is 67°)

Similar triangles may or may not be congruent triangles.

The two triangles are similar.

From the figure, we have:

[tex]\mathbf{\angle F \cong \angle C = 60}[/tex] ----- Angles F and C are corresponding

[tex]\mathbf{\angle D \cong \angle G = 53}[/tex] ----- Angles D and G are corresponding

[tex]\mathbf{\angle H \cong \angle E = 67}[/tex] ----- Angles H and E are corresponding

Add the above angles.

[tex]\mathbf{Sum = 60 + 53 + 67}[/tex]

[tex]\mathbf{Sum = 180}[/tex]

The sum of the angles equal 180 degrees,

Hence. the triangles are similar triangles.

Read more about similar triangles at:

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Answer:

32.85°

Step-by-step explanation:

Used a fancy calculator & just took a test like this

good luck, i hope this helps :)

Answer:

x = 32.8599

Step-by-step explanation:

you have the hypotenuse and the side adjacent to the angle, so you use

Cos(x) = adjacent/hypotenuse

so

Cos(x) = 21/25

x = cos^-1(21/25)

put this in a calculator:

x = 32.8599 (rounded)

Answer:

640

Step-by-step explanation:

In order of operations, do exponents before multiplying.

8 squared= 64

64 x 10=640

Answer:

7c + 5

Step-by-step explanation:

(8c+8)–(c+3)

8c - c = 7c

8 - + 3 = 5

7c + 5

Answer:

7c+5

Step-by-step explanation:

(8c+8)-(c+3)

8c+8-c-3

8c-c+8-3

7c+8-3

7c+5

Answer:

0.02941176...

— Used a calculator for this, so it is guarantied correct! Hope this helps. Brainliest appreciated (and very much needed)

Answer: Divide each term in 3 a ≥ − 6 by 3 . 3 a 3 ≥ − 6 3 Cancel the common factor of 3 . Tap for more steps... a ≥ − 6 3 Divide − 6 by 3 . a ≥ − 2 The result can be shown in multiple forms. Inequality Form: a ≥ − 2 Interval Notation: [ − 2 , ∞ )

Answer:

20/29

Step-by-step explanation:

Sin is Opposite/Hypotenuse. The opposite leg is 20, and the hypotenuse is 29.

Answer:

Not a function becuase one input value corresponds with multiple output values.

Step-by-step explanation:

Hope it helps

Answer:

f(-7)=268

Step-by-step explanation:

f(-7)=4x^2 − 10x+2

f(-7)=4(-7)^2-10(-7)+2

f(-7)=4(49)+70+2

f(-7)=196+72

f(-7)=268

Answer:

198

Step-by-step explanation:

4(-7)^2+70+2

196+2=198

Answer:

1.  A number decreased by seven.

2. A number increased by nine.

3. The product of six and a number, divided by eight.

4. The product of three and a number increased by five is equal to twenty.

5. The product of two and a number increased by eight is equal to twenty-three.

Step-by-step explanation:

1.   x-7

A number decreased by seven.

2. y+9

A number increased by nine.

3. 6m/8

The product of six and a number, divided by eight.

4. 3y+5 =20

The product of three and a number increased by five is equal to twenty.

5. 2(x+8)= 23

The product of two and a number increased by eight is equal to twenty-three.

The translation of each given algebraic expression to a verbal phrase has been provided.

1) We have; x - 7

This means that; a number x decreases by 7.

2) y + 9; This means that; a number y increases by 9.

3) 6m/8; This can be expressed as;

The product of six times a number m is divided by 8.

4) 3y + 5 = 20; This can be expressed as;

The sum of five and three times a number x is equal to 20.

5) 2(x + 8) = 23;

The product of 2 and the addition of a number x and 8 is equal to 23

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Answer:

7.2

Step-by-step explanation:

24/2 = 12

19.2/2 = 9.6

[tex]12^{2}[/tex] - [tex]9.6^{2}[/tex] = 51.84

[tex]\sqrt{51.84}[/tex] = 7.2

Answer:

-16

Step-by-step explanation:

Answer:

here you go

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

65.00x10%=6.50

65.00-6.50

0r you can do

65.00-10%=58.50

Answer:

Option 3, 18.0

Step-by-step explanation:

To find the Hypotenuse of a right triangle, use the Pythagoras theorem:

[tex]a^{2} +b^{2} =c^{2}[/tex]

(see image below)

(the longest side of any right △ is always C)

In this equation, we know A is 10 and B is 15, so plug in these numbers and solve for C

[tex]10^{2} +15^{2} =c^{2}[/tex]

[tex]100 + 225 =c^{2}[/tex]

[tex]325 = c^{2}[/tex]

Now that the equation is simplified, we find the square root of 325 to solve for C.

[tex]\sqrt{325 = c^{2}}[/tex]

[tex]18.0 = c[/tex]

The final answer is C = 18.0

Hope this helps you understand :)

Answer:

use distance formula

Step-by-step explanation:

enter each set of points into distance formula, find distance then sum all sides