Given the function f(x) = 0. 5|x – 4| – 3, for what values of x is f(x) = 7? x = –24, x = 16 x = –16, x = 24 x = –1, x = 9 x = 1, x = –9.

Answers

Answer 1

If the value of the function f(x) is 7, then the value of x is –16, and 24. Then the correct option is B.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The given function is f(x) = 0.5 |x – 4| – 3

If the value of the function f(x) is 7, then the value of x will be

0.5 |x – 4| – 3 = 7

      0.5 |x – 4| = 10

            |x – 4| = 20

             x – 4 = ±20

For positive signs, we have

x – 4 = 20

      x = 24

For negative signs, we have

x – 4 = –20

     x = –16

More about the function link is given below.

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Related Questions

A plastic alphabet cube is 7 cm on each side. What is the surface area of the cube?

Answers

Answer:

In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters.

Step-by-step explanation:

Answer:

Cube's features;

6 sides to a cubeAll side lengths are equal, so all areas are the same

Given this information, we must find the area of one side and multiply that area by 6 since there are 6 equal sides of the same area.

Formula for area of square:-

A = a^2

or

A = a · a

Where 'a' represents the length of one side.

Plug in values;

A = a^2

A = 7^2

A = 49 centimetres is the area of one side.

Now we find the areas of all sides (6 sides in total);

49(6)

= 294 is the surface area of the cube.

Find the measure of Zv.
V
D
48°
87°
E

Answers

Answer:

45°

Step-by-step explanation:

A triangle in total is 180 degrees, add the 48 and 87 to get 135, subtract that from the total 180 to get your answer, 45 degrees.

Hope this helps!

Answer:

45

Step-by-step explanation:

♤interior angles of a triangle add up to 180♤

let angle V= x

48+87+ x= 180

135+x=180

x=180-135

=45

Describe the transformation to the parent to the parent function

y = -2|x+3|-1

Transformation:

Answers

Using translation concepts, it is found that the parent function was reflected over the x-axis, vertically stretched by a factor of 2, shifted left 3 units and down 1 unit.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is:

y = |x|

The translations are as follows:

It was multiplied by -2, hence it was vertically stretched by a factor of 2, and since it was multiplied by a negative number, reflected over the x-axis.x -> x + 3, hence it was shifted 3 units right.One was subtracted from the function, hence it was shifted one unit down.

More can be learned about translation concepts at https://brainly.com/question/4521517

Please do number 10. Thanks.

Answers

Answer:

379.94

Step-by-step explanation:

area of a circle is pi*radius squared. Radius is 11. 11*11=121. Now all you have to do is multiply 3.14*121. 3.14*121=379.94

The equation for the area of the circle ⇒ [tex]\pi r^2[/tex]

r: length of the radius --> 11cm[tex]\pi[/tex] --> 3.14

Now lets plug in all the known values in the equation:

    [tex]\pi r^2=3.14 * 11^2 = 3.14 * 121 = 379.94[/tex]

Thus it wants the answer rounded to the nearest whole number, so

   Answer: 380 square centimeters

Hope that helps!

   

During his first 20 picks from a bag of marbles, mike chose 8 yellow marbles, 9 green marbles, and 3 blue marbles. What is the experimental probability that mark will choose a green marble on his next pick? Write the probability as a percent.

Answers

Answer:

Step-by-step explanation:

All you have to do for this problem is take 3, over the 20, and then turn into a percent. Your final answer is D. 15%, because if you multiply 3/20 by 5, you get 15/100, which is easier to turn into a percent, leaving you with 15%

Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and gertrude makes monthly payments, how much interest will she pay by the time the loan is repaid? round all dollar values to the nearest cent. a. $4,462.40 b. $1,213.28 c. $1,713.69 d. $2,094.80

Answers

The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

What is compound interest?

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

[tex]5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29[/tex]

In the 10 years, the refund she gets,

[tex]A_r=63.29\times12\times100\\A_r=7594.8[/tex]

Interest paid by her is,

[tex]I=7594.8-5500\\I=2094.8[/tex]

Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

Learn more about the compound interest here;

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Answer: D

Step-by-step explanation:

How many liters are in 950mL

Answers

Answer:

0.950 L

Step-by-step explanation:

ml/1000 = L

0.95 Liters in 950 mL

The radius of a cylindrical construction pipe is 2 ft. If the pipe is 24 ft long, what is its volume?
Use the value 3.14 for I, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
2 ft
24 ft

Answers

Answer:

96π ft³ or 301.44 ft³

Step-by-step explanation:

Volume = Base Area x Height

V = (πr²)(h)

V = (π)(2²)(24)

V= 96π ft³

There are 24 crayons in a box. How many boxes will be needed for 15 children if each child gets 12 crayons

Answers

Answer:

7.5

Step-by-step explanation:

15×12=180

180÷24(crayons per box)=7.5 boxes

What is
|Ay|
in the system of linear equations below?

-8x+y=-6
3x-2y=-1

Answers

Considering the given system of equations, it is found that:

[tex]|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|[/tex]

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the system is:

-8x+y=-6

3x-2y=-1

In matrix form, it is given by:

[tex]\left[\begin{array}{cc}-8&1\\3&-2\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-6\\-1\end{array}\right][/tex]

To find the matrix |Ay|, we replace the y coefficients of 1 and -2 by the results of -6 and -1, hence:

[tex]|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|[/tex]

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

C. (-8 -6 3 -1)

Step-by-step explanation:

EDG

Find the perimeter of the window to the nearest tenth.


A semi-circular windowpane with radius labeled 20 centimeters

Answers

Answer:

  102.8 cm

Step-by-step explanation:

The perimeter of a semicircle is the sum of the length of the diameter and the length of the curved edge. The curved edge is half the circumference of a circle with the same radius.

  perimeter = diameter + curved edge

  = 2r +1/2(2πr) = r(2 +π)

  = (20 cm)(2 +π) ≈ 102.8 cm

The perimeter of the window is about 102.8 cm.

Write the equation in spherical coordinates. (a) x2 y2 z2 = 64

Answers

The equation in spherical coordinates will be a constant, as we are describing a spherical shell.

r(φ, θ) = 8 units.

How to rewrite the equation in spherical coordinates?

The equation:

x^2 + y^2 + z^2 = R^2

Defines a sphere of radius R.

Then the equation:

x^2 + y^2 + z^2 = 64

Defines a sphere of radius √64 = 8.

Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:

r(φ, θ) = 8 units.

If you want to learn more about spheres, you can read:

https://brainly.com/question/10171109

The equation in spherical coordinates is r(φ, θ) = 8 units.

What are the spherical coordinates?

Spherical coordinates of the system denoted as (r, θ, Φ) is the coordinate system mainly used in three-dimensional systems.

The equation of the spherical coordinates is written as;

[tex]\rm x^2 + y^2 + z^2 = R^2[/tex]

Where R is the sphere of radius.

The given equation of the spherical coordinates is;

[tex]\rm x^2 + y^2 + z^2 = 64^2[/tex]

Here 8 is the sphere of radius.

Hence, the equation in spherical coordinates is r(φ, θ) = 8 units.

Learn more about spheres here;

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#SPJ4

The points go from 0 to 6 or -6. Please help asap

Answers

Answer:

either one

Step-by-step explanation:

it is going through the origin, so it is going forever in each direction

Please help!

A: 128°
B: 92°
C: 36°
D: 52°​

Answers

sum of triangle angles = 180

so

? = 180 - 36 - 92 = 52°   => D

What is the scale factor from square ABC to square DEF

Answers

Answer:

the scale factor is 6

scale factor:

length of image ÷ length of original

Here:

24 ÷ 4  =  624 ÷ 4 = 612 ÷ 2 = 6

. A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist
starts with a sample of 30 bacteria cells. Write an equation that can be used to
determine the number of cells after x hours.

2. how many bacteria cells will be present in the dish after 3 hours?


3.how many bacteria cells will be present after 12 hours?

Answers

Answer:

you first divide fifty out of one hundred then we multiply it by thirty

Brody rearranged the entertainment room at his house. Before the move, he had his game console plugged into an electrical cord that was 60 inches long. After he moved everything, he had to add an additional cord that was 2 feet long.

How many feet of electrical cord did he use altogether?

Answers

Answer:

7 feet

Step-by-step explanation:

60 inches is 5 feet add the 2 feet

Find the size of angle x.

Answers

Answer:

x = 115°

Explanation:

x + 81° + 164° = 360°x + 245° = 360°x = 360° - 245°x = 115°

Answer:

x=115°

Step-by-step explanation:

whole thing is supposed to = 360° so

164+81+x=360

245+x=360

x=115

Destiny performs a hypothesis test on a population with µ = 115 and Sigma = 30. Her sample size is 25 with a mean of 120. 4. Which of the following correctly depicts the z-statistic for this data? 0. 04 0. 90 3. 53 3. 93.

Answers

The correct answer which refers to the z-statistic for this data is b)0.90.

What is a Hypothesis Test?

The hypothesis Test refers to the statistical approach where the test is applied to an assumption regarding a population parameter.

It is given that µ = 115 and Sigma = 30.

sample size is 25 with a mean of 120.4

The formular for z-statistic is

z = (x – u) / (σ / sqrt n)

Therefore, we input the values and we get

z = (120.4 – 115) / (30 / sqrt 25)

We calculate further and we get

z = 0.90

Therefore, the correct answer is option b.

Learn more about the hypothesis test here:

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will give brainliest!!

Evaluate [(40 + 5) – 321 = 9.2
- 9.3
- 8.6
- 8
- 2

Answers

Answer:

The answer should be 9.2

Step-by-step explanation:

Im lowkey kinda lost in this one ngl

How do I do this? Someone please help

Answers

The volume is [tex]135cm^3[/tex]

Hi
Can u please help
i will pick the best one

Answers

AB will be the better choice because of its axle

The following scatter plot represents the relationship between a person's weight and the number of calories the person burns in one minute of jump roping. Using the line of best fit, about how many calories per minute could you expect a 100-pound person to burn while jump roping?

a. 6
b. 8
c. 7
d. 6.5

Please answer!

Answers

Answer:

b. 8

Step-by-step explanation:

the point asked has coordinates (100;8) (weight;calories)

basic set of drawing pencils costs $8.98. A professional set of drawing pencils costs $27.49. How much more does the professional set cost than the basic set?

ASAP

Answers

$18.51

Step-by-step explanation:

assuming you dont need the cost per pencil or anything...

pro set: $27.49

basic set: $8.98

subtract basic from pro.

27.49-8.98= $18.51

Answer:

I know this is a little late but your answer is 18.51

Find the length of the third side. If necessary, round to the nearest tenth. 10 24

Answers

Answer:

26 units

Step-by-step explanation:

Pythagoras' Theorem: [tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given

a = 10b = 24

Substitute the given values into the formula and solve for c:

[tex]\sf \implies 10^2+24^2=c^2[/tex]

[tex]\sf \implies c^2=676[/tex]

[tex]\sf \implies c=\pm\sqrt{676}[/tex]

[tex]\sf \implies c=\pm26[/tex]

Since length is positive, c = 26 only

Answer:

26 units

Step-by-step explanation:

To find the missing side length, we need to use Pythagoras theorem, as this triangle is a right triangle.

Formula: h² = x² + y²                                       [h = hypotenuse, x and y = legs]

Legs: 10 units and 24 units                                              (Stated in comments)

Finding the third side of the triangle (h):

⇒ h² = 10² + 24²

Simplify the LHS:

⇒ h² = 100 + 576

⇒ h² = 676

Take a square root both sides:

⇒ √h² = √676

⇒ h = ±26

⇒ h = 26                                                 (Side lengths can never be negative)

Thus, the length of the third side is 26 units.

Camden invested $1400 in an account that pays 4.5% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Camden would have in the account 12 years after his initial investment. Round to the nearest tenth ( if necessary)

Answers

The amount of money Camden would have in his account after 12 years is equal to $2,374.3.

How to calculate compound interest.

To calculate how much money Camden would have in his account after 12 years, we would use the formula for compound interest.

Mathematically, compound interest is given by this formula:

[tex]A=P(1+r)^t[/tex]

Where:

A is the balance.P is the principal or starting amount.R is the interest rate.T is the time measured in years.

Given the following data:

Principal = $1400.

Interest rate = 4.5% = 0.045.

Time = 12 year.

Substituting the given parameters into the formula, we have;

[tex]A=1400(1+0.045)^{12}\\\\A=1400(1.6959)[/tex]

A = $2,374.3.

Read more on interest here: brainly.com/question/24341207

I really need help to understand this problem for my end of course exam!!!!

Answers

Answer:

D. [tex]13(2.81)^n[/tex]

Step-by-step explanation:

[tex]13(1.09)^{12n} < ==exponents\ first\(PEMDAS)\\\\13(2.8126)^n < ==approximate\\\\13(2.81)^n[/tex]

Hope this helps!

What is the formula of the curved surface of a cylinder?

Answers

Answer:

2πr × h = 2πrh

Step-by-step explanation:

that is the formula for a curved surface of a cylinder 2πr × h = 2πrh.

At Frome International train station, 35% of trains were late in a week.
In that week there were 440 trains.
Calculate how many trains were on time.

Answers

Answer: Two rational numbers between 1/3 and 1/5 are 4/15 and 7/39.

Step-by-step explanation:


I need help desperately lol

Answers

Answer:

Step-by-step explanation:

First find the shaded area. Ignore the fact that something is missing.

L = 16

w = 8

Area = L*w           Substitute the givens

Area = 16*8

Area = 128

Now consider the white area. It has a "length" of 4 and a width of 8

L = 4

w = 8

Area = 32

Now subtract 32 from 128

Area of shaded part = 128 - 32

Answer: 96 mm^2

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