Consider the function f(x) = 2 * (x - 20) ^ 2 - 3 What is the value of f(29) ?

Answers

Answer 1

Answer:

f(29) = - [tex]\frac{9}{290}[/tex]

Step-by-step explanation:

Step 1: substitute f(29) into the equation.

f(29) = 2(29 - 20)²⁻³

29 replaces x.

Step 2: simplify the exponent

f(29) = 2(29 - 20)⁻¹

2-3 is -1, so the exponent is -1

Step 3: distribute the exponent to the parentheses

f(29) = 2([tex]\frac{1}{29}[/tex] - [tex]\frac{1}{20}[/tex])

Since the exponent is a negative one, basically make it a fraction with the base as the denominator and the exponent as a numerator. I don't know too much about negative exponents, but this is how to factor in a -1.

Step 4: Distribute.

f(29) = [tex]\frac{2}{29} -\frac{2}{20}[/tex]

Step 5: Simplify before finding a common denominator (2/20 cancels out)

f(29) = 2/29 - 1/10

Step 6: Find a common denominator (290)

f(29) = [tex]\frac{20}{290}[/tex] - [tex]\frac{29}{290}[/tex]

Step 7: Simplify

f(29) = - [tex]\frac{9}{290}[/tex]

TBH I'm not sure this is correct, but I hope this helps =)


Related Questions

A cube has side length 10 inches. What is its volume?

Answers

Answer:

10*10*10 =1000

Step-by-step explanation:

the volume tells you how many little 1 in cubes would fit on the 10 inch one

10  one inch cubes make a 10in line,   10 of those lines make a square and 10 of those square make the cube so:

1  *  10 * 10 * 10

............help plsss T.T

Answers

Answer:[tex]a, 8c^{4} d^{5} /2c^{3} d^{3}[/tex]

             [tex]8c^{3}.c.d^{3}.d^{2} /2c^{3} d^{3}[/tex]

             [tex]ans=4cd^{2}[/tex]

           ans= [tex]b, 9a^{3} b^{5} /3ab^{2}\\3*3.a^{2}.a.b^{2}.b^{3} /3ab^{2} \\3a^{2}b^{3}[/tex]

Step-by-step explanation: hope this will help you

In August 2008, Eddie hired a car in Italy. The cost of hiring the car was £620

The exchange rate was £1 = €1.25

Work out the cost of hiring the car in euros (€).

Answers

Answer:

The answer is £775 for hiring a car

The required answer would be the cost of hiring the car in euros is €775.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

In August 2008, Eddie hired a car in Italy. The cost of hiring the car was £620

The exchange rate was £1 = €1.25

We have to determine the cost of hiring the car in euros (€).

According to the given question,

For the required solution, we have to multiply the exchange rate by the cost of hiring the car

The cost of hiring the car in euros (€) = 620 × exchange rate

The cost of hiring the car in euros (€) = 620 ×  €1.25

Apply the multiplication operation to get

The cost of hiring the car in euros (€) = €775

Therefore, the required answer would be the cost of hiring the car in euros is €775.

Learn more about Multiplication operations here:

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Write 6.03 as a mixed number​

Answers

Answer:

6 3/100

Step-by-step explanation:

brainliest pls

Which of the following has an x-intercept of 2 and a y-intercept of -4?

Answers

Answer:

Second photo

I hope this helps!

this graph has a x- intercept of 2 and a y-intercept of -4

Written Portion
The graph below shows the relationship between time and distance traveled
by a race car moving at a constant rate and at its maximum speed. How long
did it take the race car to travel 480 miles?
Race Car Data
Distance (miles)
800
700
600
500
8400
300
200
100
0.5 1.5 2.5 3.5 4.5 5.5 6.5
Time (hours)

Answers

Answer:

2.4 hours

Step-by-step explanation:

The graph is a straight line graph. A straight line graph is used to represent a linear equation. A linear equation is represented by the equation: y = mx + c, where y is the dependent variable, x is the independent variable, m is the slope (rate of change) and c is the intercept.

A line passing through the point [tex](x_1,y_1)\ and\ (x_2,y_2)\[/tex] can be represented by the equation:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Let y represent the distance in miles and x represent the time in hours. From the graph, the line pass through (0.5, 100) and (3.5, 700). Hence using:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{700-100}{3.5-0.5} (x-0.5)\\\\y-100=200(x-0.5)\\\\y-100=200x-100\\\\y=200x-100+100\\\\y=200x\\\\To\ travel\ 480 \ miles,we\ substitute\ y=480\ and\ find\ x\\\\480=200x\\\\x=480/200\\\\x=2.4\ hours[/tex]

Given that MQL =180° and XQR = 180°, which equation could be used to solve problems involving the relationships
between XQL and MQR?

A.(146-4b)=(122-1b)
B. (146-4b)+(122-1b)=180
C(146-4b)-(122-1b)=180
D.(122-1b)-180=(146-4b)

Answers

Answer:

Option A is the right answer.

146-4b = 122-1b

Reason: vertical angles

Answer:

a

Step-by-step explanation:

After parent teacher conferences, the seventh grade teachers go out to Logan’s for dinner. The total bill comes to $53.79. If they want to leave a 20% tip, about how much should they leave?

Answers

Answer:

The should leave $8.07 because 15% of $53.79 is 8.0685, which can be rounded to 8.07.

Solve for h.
7a = -9 + 2h

Answers

Answer: h = 7a + 9 divided by 2

Which of the following are equivalent to
- 5/10?
A)- 1/2.
B)-5/-10.
C)- (4/8).
D)-0.5.
E)5/-10.

Select all that apply.​

Answers

A B and E i think I’m sorry if you get this wrong :( have a good day!

  a,b and e  Read the paragraph from The Evolution of Useful Things.

In 1916 the company's sales manager insisted that a laboratory be formed to carry out experiments and tests to ensure quality control so that salesmen would not be embarrassed by faulty products. The laboratory in time made possible the research and development necessary to produce new and improved items in response to problems experienced by sandpaper users.

Which words from the excerpt indicate an order of the events in this paragraph?

In 1916, to carry out

to carry out, ensure

so that, in time

In 1916, in time

The length of the Amazon River in South America is 6,400 kilometers. What is the length written in scientific notation?
6.4 x 102 km
64 x 102 km
6.4 x 103 km
6.4 x 105 km

Answers

Answer:

[tex] 6.4 * 10^{3} km[/tex]

Step-by-step explanation:

Scientific notation can be defined as a way of expressing and writing a very small or large real number in decimal form. Generally, to use the scientific notation, we will multiply the real number by a power of 10.

Given that the length of Amazon River is 6,400 kilometers.

[tex] \frac{6400}{1000} = 6.4[/tex]

[tex] 1000 = 10^{3}[/tex]

Therefore,

6, 400 kilometers = 6.4 × 10³ kilometers.

What is a supplementary angle?

Answers

Answer:

a supplementary angles are adjacent angles that have a sum of 180 degrees

Step-by-step explanation:

if a supplementary angle measure up.to 180 degrees and x is 3 times the measure.of angle y then 3÷180 is equal to 60 then 60 degrees is the answer .

The bottom of a pylon is 3 1/2 yards below
the ground. The top of the pylon is 2 1/2 yards
above the ground. How tall is the pylon?

Answers

Answer:

6 yards

Step-by-step explanation:

The pylon is 6 yards tall.

What the types of fractions ?

There are mainly two types of fractions proper fraction and improper fraction.In proper fraction numerator is smaller than the denominator and in improper fraction denominator is smaller than the numerator.

According to the given question

A pylon has some part of it below the ground and some part is above the ground and we have to find the total length of it.

Given [tex]\whole{3}\frac{1}{2}[/tex] yards is below the ground and [tex]\whole2\frac{1}{2}[/tex] yards above the ground.

∴Total length of the pylon is (7/2 + 5/2) yards.

= 12/2 yards.

= 6 yards.

Learn more about fractions here :

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2x + 1=4x-3 solve for x

Answers

Answer:

x = 2

Step-by-step explanation:

To start, you want to isolate x.

To do so, get all the x terms to one side.

2x + 1 = 4x - 3

Subtract -4x on both sides.

-2x + 1 = -3

Then, subtract 1 on both sides.

-2x = -4

Finally, divide -2 on both sides.

x = 2

f(3) = 5x + 5, find f(-4)

Answers

Answer:

-15

Step-by-step explanation:

substitute -4 for x:

5(-4)+5

-20+5

= -15

The number of terms of an Ap is even and the sum of odd terms is 24 the sum of even terms is 30 and the last term exceeds the first by 10 1/2. find the number of term and the series.




do it as fast as you can
who will do this question I will marks them as brainliest
all the best ​

Answers

Answer:

fzirzityxpy

Step-by-step explanation:

i will give u brainliest

Answers

Answer:

The reciprocal of 2 is 1/2

The reciprocal of 6/11 is 11/6

What is the value of x in the equation 1/5x— 2/3y=30 when y = 15

Answers

Answer:

The answer to your question is x=200

Step-by-step explanation:

1/5x-10+10=30+10(add 10 both sides)

1/5x=40

x=200

I need these 2 question this is important like actually

Answers

Answer:

1) 1,3,5,7

2) I can't really see it, it is blurry. Im sorry

Step-by-step explanation:

Which expression is equivalentito (f 94)?​

Answers

Answer:

abxskFj

Step-by-step explanation:

a respuesta an cuando (f 94)=94

Which function is the inverse of y(x) = -5x-4?

Answers

Answer:

f(x)=  - (x+4)/5

Step-by-step explanation:

sorry, i don't have time to explain..

To find the inverse, interchange the variables and solve for y.

ANSWER:

f-1(x)= –x/5 – 4/5


If this helped, please mark brainliest:)

Jax is at the gym about to lift weights. He finds the bar already has weights on it, but some are not labeled.

Answers

Answer:

what's the question?

Step-by-step explanation:

Jenna has 131 dog biscuits. She wants to give them as gifts to each of her 4 poodles.
How many biscuits does each poodle get?
(Assume each gets the same number of biscuits.)

Answers

Answer:

32 cookies and 3 left over

Step-by-step explanation:

This is a math story ok omar is making a scale model of the statue of liberty the statue is 305 feet tall mesuring from the ground to the tip of the tourch if the model is 1/100 the acual size of the statue of liberty how tall is the model plz help i have 2 fss and i need to get my grades up

Answers

Answer:

[tex]Size= 3.05ft[/tex]

Step-by-step explanation:

Given

[tex]Scale = \frac{1}{100}[/tex]

[tex]Statue = 305ft[/tex]

Required

Determine the size of the statue

Size is calculated as thus:

[tex]Size = Scale * Statue[/tex]

[tex]Size = \frac{1}{100} * 305ft[/tex]

[tex]Size = \frac{305ft}{100}[/tex]

[tex]Size= 3.05ft[/tex]

The can of coffee weighs 20 ounces. Each book weighs 36 ounces. What is the weight, in ounces, of one carton of salt?

Answers

Number 5 The answer is 26. Brainliest pls.

The answer to number 6 is H

Answer to 7 is D

Answer to 8 is 5

Answer to 9 is H

10 is I

11 is 68 cartons or less

12 is A

13 is f

14 is b

15 is g

HEY CAN ANYONE ANSWER DIS MATH QUESTION!!!!!!

Answers

Answer:

c. 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

the triangles are proportional.

if you look at AB and DE,

you'll notice that AB is half of DE.

so, triangle ABC's sides are half of triangle DEF

the measure DF is 10, so that means the measure AC is half of that, which is 5

The equation y=-2/3x-6 in standard form

Answers

2x+3y=-18

multiply both sides by 3
3y=3(-2/3x-6)

simplify
3y=-2x-18

move terms with variables to the left side of the equation
2x+3y=-18

The equation in the standard from is 2x + 3y = -18.

What is the linear equation?

The linear equation is the algebraic form of equation whose variable has the exponent of one. It is the combination of two variables and a constant value present in them.

For the given situation,

The equation is y = -2/3 x - 6

The standard form of linear equation is Ax +By = C,

where A,B,C are numbers and x,y are intercepts.

⇒ [tex]y=\frac{-2}{3}x -6[/tex]

Taking LCM on RHS,

⇒ [tex]y=\frac{-2x-18}{3}[/tex]

⇒ [tex]3y=-2x-18[/tex]

Rearrange the equation in the standard from,

⇒ [tex]2x+3y=-18[/tex]

Hence we can conclude that the equation in the standard from is           2x + 3y = -18.

Learn more about linear equation here

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5x-(-4)=

WHat Is tHe AnSwer

Answers

Answer:

5x+4

Step-by-step explanation:

A double negative sign gives a positive sign

Answer: 20

Step-by-step explaination: -4 minus 5x=20 because 4x5=20+-x=20

Having trouble on math here’s a picture to help

Answers

Answer:

E is D=5that sign

G is m=-1/12

I is p=11

K is t =12.5 the sign

M is q = -4/3

D is f=3 sign

H is b=-13

j is h=-14

L is r=4.5

N is w = -5/4

F is s=7/8

Can someone help me please.

Answers

Answer:

Lena's Method: 280Jackson's Method: 280

Step-by-step explanation:

Lena's Method:

8 + 12 = 20Plug 20 in: 14(20)14(20) = 14 × 20 = 280

Jackson's Method:

14 × 8 = 11214 × 12 = 168Re-write the expression: 112 + 168112 + 168 = 280

I hope this helps!

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