Juanita has saved 35% of the money for a bike. She has saved $63 dollars. How much does the bike cost?

The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.

Given the function g(x) = f(x + 4) + 8, let's examine its features:

Domain:

The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f.  However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.

Range:

Similar to the domain, the range of the function g will depend on the range of the function f.

x-intercept:

The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.

0 = f(x + 4) + 8

By subtracting 8 from both sides:

-8 = f(x + 4)

Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.

y-intercept:

The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:

g(0) = f(0 + 4) + 8

g(0) = f(4) + 8

Again, the specific value of f(4) will depend on the behavior of the function f.

for such more question on function

https://brainly.com/question/14723549

#SPJ8

The situation Veronica receives $21 for babysitting, and then spends the same amount, $21, on a new shirt quantities combine to make 0.The correct answer is option C.

When we add +21 (the money she receives) and subtract -21 (the money she spends), the result is 0. This means that the net change in Veronica's money is zero, indicating that the quantities combine to make 0.

In situations A, B, and D, the quantities do not combine to make 0. In situation A, the player earns 4 points for getting an answer right and then earns an additional 4 points for making it around the board.

The total points earned in this situation would be 8, which is not equal to 0.

In situation B, the car is initially filled with 10 gallons of gas, but then half of that, which is 5 gallons, is used on a day's drive. The remaining fuel in the car would be 5 gallons, which is also not equal to 0.

In situation D, the bird flies 25 feet up in the air and then 25 feet across to its nest. The total distance traveled by the bird would be 50 feet, which is not equal to 0.

Therefore, only in situation C, where Veronica receives and spends the same amount of money, do the quantities combine to make 0.

For more such questions Veronica,click on

https://brainly.com/question/2056768

#SPJ8

The probable question may be:

In which of these situations do the quantities combine to make 0?

A. A player a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board.

B. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive.

C. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.

D. A bird flies 25 feet up in the air. It then flies 25 feet across to its nest.

Answer:

(15, -6)

Step-by-step explanation:

x + y = 9

x - y = 21

x = 9 - y

plug in x into second equation

9 - y - y = 21

9 - 2y = 21

-2y = 12

y = -6

plug in y.

x - (-6) = 21

x + 6 = 21

x = 15

check

15 + (-6) = 9

15 - (-6) = 21

The exponential function whose graph passes through the points (-2, 1), (-1, 5), (0, 25), (1, 125) and (2, 625) is g(x) = 25 . (5)ˣ.

An exponential function is a function which can be defined as f(x) = aˣ, Where 'x' is a variable and 'a' is a constant.

Let the exponential function is,

g(x) = y = a.bˣ    (1)

The points are, (-2, 1), (-1, 5), (0, 25), (1, 125) and (2, 625).

Substitute x = -2 and y = 1 in equation (1),

1 = a.b⁻²

b² = a       (2)

Also. substitute x = -1 and y = 5 in equation (1),

5 = a.b⁻¹

a = 5b     (3)

From equation (2) and (3),

b = 5 and a = 25

Substitute the value so a and b in equation (1),

g(x) = y = 25.(5)ˣ

The required exponential function is g(x) = 25.(5)ˣ.

To know more about Exponential function on:

https://brainly.com/question/11487261

#SPJ1

Answer:

x=4

Explanation:

3x+x−2x+8=3x+x

Step 1: Simplify both sides of the equation.

3x+x−2x+8=3x+x

3x+x+−2x+8=3x+x

(3x+x+−2x)+(8)=(3x+x)(Combine Like Terms)

2x+8=4x

2x+8=4x

Step 2: Subtract 4x from both sides.

2x+8−4x=4x−4x

−2x+8=0

Step 3: Subtract 8 from both sides.

−2x+8−8=0−8

−2x=−8

Step 4: Divide both sides by -2.

−2x−2=−8−2

x=4

Answer:

y up u to see what you are looking for and that you have up and that is why you tomorrow morning to pick up u to see if I could get it t and that is what I thought about it but he was not happy to see it like it was just the car so he just ended and the quilt show up at your house or something t and the family a few things I have to go get a new car so he just got a text that I can not find a car and a car for the car I will have the car and the quilt for you t I will be in touch soon to see if I can find a way of life is why you have not find a car for me and the kids to see you y y

Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

For more such questions on triangle

https://brainly.com/question/28470545

#SPJ8

Answer:

 x = 7

 y = 17

Step-by-step explanation:

Substitution method:

    y = 2x + 3 ---------------(I)

     y = 3x - 4 ----------------(II)

Substitute y = 3x - 4 in equation (I)

        3x - 4 = 2x + 3

 Add 4 to both sides

               3x = 2x + 3 + 4

               3x = 2x + 7

Subtract '2x' from both sides

          3x - 2x = 7

               \(\sf \boxed{\bf x = 7}\)

Substitute x = 7 in any one of the equation, Here I substituting in equation (I)

             y = 2x + 3

            y = 2*7 + 3

               = 14 + 3

            \(\sf \boxed{\bf y = 17}\)

Hi there!

Hope this helps!

The total number of coins is 35

From the question, we have the following parameters that can be used in our computation:

Number of coins in the box = 7

Proportion of coins in the box = 20%

These parameters mean that

Number of coins in the box = Proportion of coins in the box * Total number of coins

Substitute the known values in the above equation, so, we have the following representation

7 = 20% * Total number of coins

Divide both sides by 18%

Total number of coins = 35

Hence, the total number of coins is 35

Read more about percentages at

https://brainly.com/question/843074

#SPJ1

Answer:

Step-by-step explanation:

Ar of circle

A= 49π

B=100π

C=169π

D=121π

Ar of circle A is less than Ar of circle D

Answer:

\(x=\frac{d+c}{a-b}\)

Step-by-step explanation:

The equation is:

a x - c = b x + d

so we subtract b x from both sides to group the terms that contain x on the left:

a x - b x - c = d

add c to both sides to isolate the terms in x on the left:

a x - b x = d + c

extract "x" as common factor on the left:

x (a - b) = d + c

divide both sides by the quantity (a - b) to isolate the "x":

x = (d + c) / (a - b)

or:    \(x=\frac{d+c}{a-b}\)

The estimated thickness of 2 sheets of paper, given the parameters, is 0.0216 cm.

The thickness of a sheet of paper can be measured using a screw gauge or vernier caliper.

If the thickness of a ream of paper, which contains 500 sheets, is given, a sheet will be x/500 thick.

The thickness of 2 sheets of paper will be the thickness of a sheet multiplied by 2.

Number of reams of paper in a box = 5 reams

1 ream = 500 sheets

500 sheets = 5.4 cm thick

The thickness of 2 sheets of paper = 0.0216 cm {5.4cm x 2/500)}

Thus, the estimated thickness of 2 sheets of paper, given the parameters, is 0.0216 cm.

Learn more about measuring thickness at https://brainly.com/question/10473688

#SPJ1

Assume that one ream of paper is 5.4 cm thick.

====================================================

Reason:

The leading coefficient is 6, which is the coefficient of the leading term (aka the first term). The constant is 5, which is the last term.

Here are some examples of what f(x) could be.

\(f(\text{x}) = 6\text{x}^2+\text{x}+5\\\\f(\text{x}) = 6\text{x}^3+2\text{x}^2-7\text{x}+5\\\\f(\text{x}) = 6\text{x}^5+4\text{x}^3-81\text{x}^2+5\)

The middle terms don't matter and neither does the exponent on the leading term.

So this is what the general template would look like

\(f(\text{x}) = 6\text{x}^{n}+\ldots+5\\\\\)

where n is a positive integer.

If we were to plug in x = 0, then all of the terms involving x go to zero. They cancel out. The only thing left standing would be the "5" at the very end.

So,

\(f(\text{x}) = 6\text{x}^{n}+\ldots+5\\\\f(0) = 6*0^{n}+\ldots+5\\\\f(0) = 0+0+\ldots+0+0+5\\\\f(0) = 5\\\\\)

In short, the constant value is the y intercept of the polynomial curve. It allows us to quickly spot it without having to do much (or any) math.

This is why choice B is a false statement.

The other answer choices cannot be proven true or false since we don't have enough information about this particular function.

The length of AC is 12.5 and the length of AD is 3.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees

Given triangle ABC,

and D is a point on AB and E is a point on AC,

and forms a triangle ADE,

and  DE is parallel to AC,

taking ΔABC and ΔBDE

∠B = ∠B  (common angle)

because DE is parallel to AC, so corresponding angles are equal,

so ∠A = ∠D

and ∠C = ∠E

ΔABC ≈ ΔBDE (triangles are similar)

since both triangles are similar the ratio of their corresponding sides is equal,

AB/BD = AC/DE = BC/BE

given BD = 2, BE = 4, DE = 5 and EC = 6

BC = EC + BE = 4 + 6

BC = 10

AC/DE = BC/BE

AC = 5(10/4)

AC = 12.5

and AB/BD = BC/BE

AB = 2(10/4)

AB = 5

AD = AB - BD

AD = 5 - 2

AD = 3

Hence AC = 12.5 and AD = 3.

Learn more about triangles;

https://brainly.com/question/2773823

#SPJ1

The figure is in image.

Based on the information, we can infer that graph B is the one that correctly expresses the expenses that Sara and her friends will have.

To identify the graph that correctly expresses the information we must analyze the information. In this case we must take into account the fixed expenses that Sara and her friends will have, which is $7. This would be the starting point of the graph line.

On the other hand, all the values that represent an additional expense will mean an increase in this graph. So, we can infer that the correct chart is B because it starts at the value of $7.

Learn more about graphics in: https://brainly.com/question/11764057

#SPJ1

Answer:

17°

Step-by-step explanation:

A right angle equals 90°, so we add 73 and 90 together to get 163. But a triangle has 180°, so we subtract 163 from 180 to get our answer.

180-163 = 17°

The runners can finish in 362880 possible results

What is Permutation?

Permutation is the different number of arrangements that can be formed by taking r things from the n available things.

The formula  n! = 1 × 2 × 3 × 4 × .......× n.

To get the order the runners could possibly finish,

= 9! = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

= 326880

Read more about Permutation

https://brainly.com/question/1216161

#SPJ1

Answer:

$229.17

Step-by-step explanation:

Start with the balance, subtract the incorrect charges, and add the correct charge.

$329.76 - $82.59 - $42.68 + $24.68 = $229.17

Answer: - 6.

Step-by-step explanation:

The set of integers is the set of the whole numbers. {..., -1, 0, 1, 2, ...}

We want to represent a loss by 6 yards in football.

Because this is a loss, we should use a negative number, then we can use:

-6

This represents the number of yards by which your team losts.

Notice that I did not write the units, this is because:

-6 yards is a measure, furthermore can be "an integer number of yards"

-6 is an integer.

The equivalent form of the function showing the remainder as a fraction is: h(x) = (x - 6) + 4 / (x - 4)

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

The given function is:

h(x) = (x^2 - 2x - 4) / (x - 4)

To rewrite this function in an equivalent form showing the remainder as a fraction, we can use polynomial division.

Let's divide x^2 - 2x - 4 by x - 4:

           x - 6

   --------------------

x - 4 | x^2 - 2x - 4

      - (x^2 - 4x)

      -------------

            2x - 4

            - (2x - 8)

            ---------

                   4

Therefore, we can write:

h(x) = (x^2 - 2x - 4) / (x - 4) = (x - 6) + 4 / (x - 4)

Therefore,  the equivalent form of the function showing the remainder as a fraction is: h(x) = (x - 6) + 4 / (x - 4)

To learn more about Algebraic expression from given link.

https://brainly.com/question/28884894

#SPJ1

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

The length of the towel bar is 9.5 inches.

Length is used to measure distance, In the International System of Quantities, a quantity with the distance dimension is referred to as length. The majority of measurement systems select a base unit for length from which all other units are derived. The metre serves as the International System of Units' fundamental unit of length.

Suppose, the length of the towel bar is x inches

The distance from each end of the towel bar to the end of the door is 9

inches. So, the total width of the door will be:[(x+(9*2)]=(x+18) inches

Given that, the width of the door is 27 inches 27.5 So, the equation will be.

x+18=27.5

x=27.5-18=9.5

Thus, the length of the towel bar will be 9.5 inches.

To learn more about length refers to;

brainly.com/question/9032191

#SPJ1

Answer:

x=45

Step-by-step explanation:

i hope its right good luck :)

i think im wrong

Answer:

i dont know but

Step-by-step explanation:

DO ANYTHING FO CLOUTTTTTTTTTT

Answer:

x=18

Step-by-step explanation:

This two angles are complementary, which means that they both add up to 90. So we could set up the equation:

(4x+1)+(x-1)=90

5x=90

x=\(\frac{90}{5}\)

x=18

Have a nice day! :)

Answer:

y = x - 4

Step-by-step explanation:

The ratio of football to total equipment is 3/ 7

Ratio can be defined as the comparison of two or more numbers with their sizes in relation to each other.

It explains how many times one number contains another.

From the diagram shown, we have:

Ratio of football to total equipment is;

= 6/ 6 + 2 + 6

= 6/ 14

Find common divisor

= 3/ 7

Thus, the ratio of football to total equipment is 3/ 7

Learn more about ratio here:

https://brainly.com/question/2328454

#SPJ1