what is the input value for an output value of -4 for the function g(x)=28/x-7​

Answers

Answer 1
9 1/3



-4 = 28 / x - 7

Add 7 on both sides.

3 = 28 / x

Multiply by x on both sides.

3x = 28

Divide both sides by 3.

x = 28/3

x = 9 1/3
Answer 2

Final answer:

The input value for an output of -4 for the function g(x) = 28/x - 7 is x = 28/3.

Explanation:

To find the input value for a given output value of a function, we need to set the function equal to the output value and solve for the variable. The student is asking for the input value that results in an output of -4 for the function g(x) = 28/x - 7. To solve for x, we follow these steps:

Set the function g(x) equal to -4: g(x) = -4.

Substitute g(x) with the function definition: -4 = 28/x - 7.

Isolate the term with x by adding 7 to both sides: -4 + 7 = 28/x.

Simplify the left side of the equation: 3 = 28/x.

To find x, multiply both sides by x and then divide by 3: x = 28/3.

Therefore, the input value for an output value of -4 for the function g(x) = 28/x - 7 is x = 28/3.


Related Questions

HURRY I will give you brainiest!

Which of these is a simplified form of the equation 7y + 7 = 9 + 2y + 2y?
a.3y = 2
b.7y = 6
c.11y = 16
d.4y = 16

Answers

Answer:

The Answer is A. 3y=2

Step-by-step explanation:

1) combine like terms

7y + 7 = 9 + 2y + 2y

7y +7 = 9 + 4y

Subtract 4y on both sides

3y +7 = 9

Subtract 7 on both sides

3y = 2 because 9 - 7 = 2

That my work and Answer

Hope this helps!

Answer:

The Answer is A.

I did the work.

solve using the addition method. what is the x-value of the solution to the system? 2x-3y=-1 3x+4y=24

Answers

Answer:

x-value is 4

Step-by-step explanation:

2x-3y=-1

3x+4y=24

We can solve the equation by eliminating y

We multiply the first equation by 4 and the second by 3

4(2x-3y=-1 )

3(3x+4y=24)

8x -12y = -4

9x +12y = 72

Then we add the two equations;

8x -12y = -4

9x +12y = 72

17x = 68

  x = 4

Thus the x-value is 4

The Question is posted above ⤴​

Answers

Answer:

Step-by-step explanation:

I think 1. 5/10

2. 3/10

3. 9/10

describe the nature of the roots for this equation.
3x^2 - 2x + 1 = 0

A. two real, rational roots
B. two real, irrational roots
C. one real, double root
D. two complex roots

Answers

Answer:

Option D. two complex roots

Step-by-step explanation:

we know that

In a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] the discriminant D is equal to

[tex]D=(b^{2}-4ac)[/tex]

in this problem we have

[tex]3x^{2} -2x+1=0[/tex]  

so

[tex]a=3\\b=-2\\c=1[/tex]

substitute the values

[tex]D=(-2^{2}-4(3)(1))[/tex]

[tex]D=(4-12)[/tex]

[tex]D=-8[/tex]

The discriminant is negative

therefore

The quadratic equation has two complex roots

Final answer:

The equation 3x² - 2x + 1 = 0 has a negative discriminant of -8, indicating that it does not have real roots but instead has two complex roots.Therefore, the correct answer is D. two complex roots.

Explanation:

To determine the nature of the roots for the equation 3x²- 2x + 1 = 0, we need to calculate the discriminant, which is given by b² - 4ac. Here, a = 3, b = -2, and c = 1. Substituting these values into the discriminant formula gives us (-2)² - 4(3)(1) = 4 - 12 = -8. Since the discriminant is negative, the equation does not have real roots. Instead, it has two complex roots.

Therefore, the correct answer is D. two complex roots.

The linear function y = 7x + 2 represents the cost y, in dollars, of buying x tickets, including a one time service fee. What does the slope represent?
A. the service fee
B. the cost per ticket
C. the number of tickets bought D. the number of tickets bought for $1

Answers

I would have to say b cuz 2 is the y intercept x is gernraly the slope

Answer: It's B.

Step-by-step explanation: I just did the quiz

#LarryStylinson  #SolbyGolbach

^^

Polygon q is a scaled copy of polygon p using a scale factor of 1/2 polygon q’s area is what fraction of polygon p’s area?

Answers

Answer:

Polygon q’s area is one fourth of polygon p’s area

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> polygon q’s area

y-----> polygon p’s area

so

[tex]z^{2} =\frac{x}{y}[/tex]

In this problem we have

[tex]z=\frac{1}{2}[/tex]

substitute

[tex](\frac{1}{2})^{2} =\frac{x}{y}[/tex]

[tex](\frac{1}{4}) =\frac{x}{y}[/tex]

[tex]x=\frac{1}{4}y[/tex]

therefore

Polygon q’s area is one fourth of polygon p’s area

Answer:

1/4 the area

Step-by-step explanation:

Hope this helps!

Will mark brainliest! Show work! What Number is 35% of 50?❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answers

Answer:

17 1/2 or 17.5

Step-by-step explanation:

35/100×50

35/2=17 1/2 or 17.5

How many live in the central region?

Answers

Answer:

10,648

Step-by-step explanation:

The total number of residents is 24,200.

The probability that a resident is from the central region is 0.44.

To find the number of residents in the central region, we multiply the corresponding probability by the total number of residents.

The number of people who live in the central region is

[tex]=0.44\times 24,200[/tex]

[tex]=10,648[/tex]

Convert the repeating decimal to an improper fraction or mixed number.

Answers

Step-by-step explanation:

Create an equation such that x equals the decimal number.

Count the number of decimal places, y. Create a second equation multiplying both sides of the first equation by 10y.

Subtract the second equation from the first equation.

Solve for x.

Reduce the fraction.

which number is an irrational number A. 0.6 repeating B. 9/27 C.9/16 squared root D. 9/27 square root

Answers

D is an irrational number because it equals 0.577350269

Answer:

D

Step-by-step explanation:

the square root of 9/27 will equal to square root of 3 over 3.

A will simplify to 2/3.

B will simplify to 1/3.

C will simplify to 3/4.

As long as the number has a square root somewhere in the final answer, it will be irrational.

Carlos is 6 feet tall.

How many inches tall is Carlos?

(1 foot = 12 inches)

WORTH 20 POINTS!!!

Answers

Answer; Carlos would be 72 inches tall

Step-by-step explanation:

because 1 foot = 12 inches . and he is 6 feet tall so 12 x 6 = 72 !

Hey there!

All we need to do is multiply 6 by 12

6 * 12 = 72

Therefore, Carlos is 72 inches tall

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

Write an equation for the circle with a center of (5, -2) and a radius of 3.

Answers

Answer:

(x - 5)² + (y + 2)² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (5, - 2) and r = 3, thus

(x - 5)² + (y - (- 2))² = 3², that is

(x - 5)² + (y + 2)² = 9 ← equation of circle

can you help please?

Answers

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(2x−17)+4=−3(3+x)

4x+−34+4=−9+−3x  {distribute}

4x+−30=−3x−9   {combine like terms}

Step 2: Add 3x to both sides.

4x−30+3x=−3x−9+3x

7x−30=−9

Step 3: Add 30 to both sides.

7x−30+30=−9+30

7x=21

Step 4: Divide both sides by 7.

7x/7=21/7

x=3

4x - 3x = -9 + 30 2 (2x - 17) + 4 = -3 (3 + x)

So, we are going to DISTRIBUTE

Lets work on the left side of the equation first

Multiply 2 on the out side of the parenthesis by what is on the inside

2 x  2x = 4x

2 x  -17 = -34

So on the left side we now have

4x - 34 + 4

add 4

4x - 30

Let's do the same thing on the other side

-3  x  3 = -9

-3 x  X = 3x

Now let's put everything together

4x - 30 = -9 + 3x

COMBINE LIKE TERMS

x = 21

comment if you have any questions! Hope I helped :)

Tony believes that the more time he spends at the record store, the more money he tends to spend. To see if he is correct, he kept a record of his recent purchases each time he visited the record store and displayed them in the scatter plot below. He also determined the line of best fit.

The equation of the line is y=2.4 x - 1.8
record store visit
Based on the graph shown, which of the following statements are true?
Select THREE that apply.

A
The line of best fit will have a positive correlation coefficient.

B
Each additional minute Tony spends in the record store is associated with an additional cost of $2.40.

C
The correlation coefficient for the line of best fit is 2.4.

D
If Tony stays for 30 minutes in the record store, it is likely he will spend $70.

Answers

Answer:

A, B, D

Step-by-step explanation:

It's not C because the correlation coeffecient connot be greater than 1 or less than -1.

30 grams of 2% is what

Answers

30 of 2% is what

30 • 2% = ______

30 • 2/100 = ______

60/100 = ______

6/10 = 3/5

30 grams of 2% is 3/5

//Hope this helps.

[tex]\text{Hey there!}[/tex]

[tex]\text{30 grams of 2\% is what?}[/tex]

[tex]\text{The word \underline{OF} means MULTIPLY in mathematical terms}[/tex]

[tex]\text{So, now that we got that portion out of the way, let's solve for your answer, shall we?}[/tex]

[tex]\text{30 grams}\times\text{2\%}[/tex]

[tex]\text{30}\times\text{2\%}[/tex]

[tex]\frac{2\%}{100}=0.02[/tex]

[tex]\text{30}\times\text{0.02}[/tex]

[tex]{\text{Thus, the answer should be: \bf{0.6}}\bf{ \ or\ \frac{3}{5}}[/tex]

[tex]\text{Good luck on your  assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

What type of number is 2i-7?

Answers

Answer:

It is a complex number.

Composed by imaginarium number and real =)

Best regards

Hey there! :)

The number 2i-7 is an imaginary number.

i represents an imaginary value, so therefore, it is imaginary and is considered a speculative number.

Often it represents a value that mathematical rules wouldn't allow, it wouldn't be able to be calculated.

I hope this helps!

~kaikers

Choose the equation below that represents the line passing through the point -3,-1 with the slope of four

Answers

Answer:

y+1 = 4(x+3)

Step-by-step explanation:

To write the equation of a line use the point slope form by substituting m = 4 and the point (-3,-1).

[tex]y - y_1 =m(x-x_1)\\y --1 = 4(x--3)\\y+1 = 4(x+3)[/tex]

Of 200 Boston residents surveyed all but 18 were born in Massachusetts what percent of 200 is 18

Answers

9% since a percent is out of 100, 9 of 100, x2 is 18 of 200

Answer:9%

Step-by-step explanation:

~~ please im really unsure .. . . . . its super confusing and i need help i raised the points and i will mark brainliest too ~~


what is the 16th term in the sequence 2, 6, 18, 54, 162, . . . .


✶✧ ✶✧ ✶✧ if you could help that would be appreciated ✶✧ ✶✧ ✶✧

Answers

Step-by-step explanation:

okay. The sequence is 2 6 18 54 162

Divide 6 by 2 to get 3. Divide 18 by 6 to get 3.

The pattern is that the next number will always be the previous number times 3.

So if you keep going,

2

6

18

54

162

486

1458

4374

13122

39366

118098

354294

1062882

3188646

9565938

28697814 is the 16th term

Hey there!

The sequence is multiplying by 3...

1) 2

2) 6

3) 18

4) 54

5) 162

6) 486

7) 1,458

8) 4,374

9) 13,122

10) 39,366

11) 118,098

12) 354,294

13) 1,062,882

14) 3,188,646

15) 9,565,938

16) 286,978,14

The 16th term is 286,978,14

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

Please help

1. Find the shaded area of each figure, round your answer to one decimal place if necessary.

Answers

Answer:

Part a) [tex]114.3\ yd^{2}[/tex]

Part b) [tex]49.5\ yd^{2}[/tex]

Step-by-step explanation:

Part a) we know that

The area of the shaded figure is equal to the area of semicircle plus the area of a triangle

Find the area of semicircle

The area of a semicircle is equal to

[tex]A=\frac{1}{2}\pi r^{2}[/tex]

we have

[tex]r=5\ yd[/tex]

substitute

[tex]A=\frac{1}{2}\pi (5)^{2}=12.5 \pi\ yd^{2}[/tex]

Find the area of triangle

The area of the triangle is equal to

[tex]A=\frac{1}{2}(b)(h)[/tex]

we have

[tex]b=15\ yd[/tex]

[tex]h=5(2)=10\ yd[/tex] -----> the height of triangle is equal to the diameter of semicircle

substitute

[tex]A=\frac{1}{2}(15)(10)=75\ yd^{2}[/tex]

Find the area of the shaded figure

[tex]12.5 \pi\ yd^{2}+75\ yd^{2}=(12.5 \pi+75)\ yd^{2}[/tex]

assume

[tex]\pi=3.14[/tex]

[tex](12.5(3.14)+75)=114.3\ yd^{2}[/tex]

Part b) we know that

The area of the shaded figure is equal to the area of the triangle minus the area of the circle

Find the area of the circle

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=5\ yd[/tex]

substitute

[tex]A=\pi (5)^{2}=25 \pi\ yd^{2}[/tex]

Find the area of triangle

The area of the triangle is equal to

[tex]A=\frac{1}{2}(b)(h)[/tex]

we have

[tex]b=16\ yd[/tex]

[tex]h=16\ yd[/tex]

substitute

[tex]A=\frac{1}{2}(16)(16)=128\ yd^{2}[/tex]

Find the area of the shaded figure

[tex]128\ yd^{2}-25 \pi\ yd^{2}=(128-25 \pi)\ yd^{2}[/tex]

assume

[tex]\pi=3.14[/tex]

[tex](128-25(3.14))=49.5\ yd^{2}[/tex]

a) The area of the shaded figure [tex]114.3yd^{2}[/tex]

b) The area of the shaded figure=[tex]49.5yd^{2}[/tex]

How can the shaded area be calculated?

Part a) The area of the shaded figure= (the area of semicircle)+ (the area of a triangle)

Area of semicircle= [tex]A=\frac{\pi r^{2} }{2}[/tex] where r = radius = 5

[tex]A=\frac{\pi 5^{2} }{2} =39.3 yd^{2}[/tex]

The area of the triangle= [tex]\frac{1}{2} base *height[/tex]

base = 15

height=10

The area of the triangle= [tex]\frac{1}{2}*15 *10 =75 yd^{2}[/tex]

The  area of the shaded figure=39.3+75= [tex]114.3yd^{2}[/tex]

Part b) The area of the shaded figure =( the area of the triangle) -(area of the circle)

The area of the triangle=[tex]\frac{1}{2} base *height[/tex]

base and height = 16

Area=[tex]\frac{1}{2} *16*16=128yd^{2}[/tex]

The area of the circle=[tex]\pi r^{2} =3.142*5^{2} = 78.55 yd^{2}[/tex]

[tex]128 yd^{2} -78.55 yd^{2} =49.5yd^{2}[/tex]

Learn more about angle at

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HELP!!in slope-intercept form, what is the equation of the line containing the points (−1, 2) and (2, −1)?

Answers

Answer:

y = -x - 1

Step-by-step explanation:

A department store is having a 25% off sale on all winter coats. If you have a coupon for an additional 20% off of any item, how much will a $150.00 winter coat cost?

Answers

Answer:

$90.00

Step-by-step explanation:

Sale discount

$150.00 × .25 = $37.50

Sale price

$150.00 − $37.50 = $112.50

Coupon discount

$112.50 × .20 = $22.50

Total

$112.50 − $22.50 = $90.00

Answer:

You lose

Step-by-step explanation:

Good day sir

What is the value of X in the diagram

Answers

Answer:

3.5

Step-by-step explanation:

we can do proportions

12/16 = 10.5/4x

cross multiply

x = 3.5

If the minute hand of a clock moves 45 degrees, how many minutes of time have passed?​

Answers

Answer:

45 minutes have passed

Step-by-step explanation:

1 degree = 1 minute

6*1=6 what property is this? The options are as follows
Identity property of multiplication
Associative property of multiplication
Identity prop. Of addition
Multiplicative inverse prop.
Additive inverse prop.
Commutative prop of addition
Commutative prop of multiplication
Transitive property
Properties

Answers

commutative prop of multiplication

Final answer:

The equation 6*1=6 is an illustration of the Identity Property of Multiplication which states that any number multiplied by 1 yields the original number.

Explanation:

The question is asking about the mathematical property illustrated by the equation 6*1=6. In this case, the answer is the Identity Property of Multiplication. The Identity Property of Multiplication states that any number multiplied by 1 will result in the original number. In other words, 1 is the identity for multiplication because multiplying any number by 1 does not change the number's value. Hence, 6*1 still yields 6, validating this property.

Learn more about Identity Property of Multiplication here:

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Find the seventh term of

Answers

Answer:

9

Step-by-step explanation:

Help on number 18 please?​

Answers

Answer:

Draw a line. Label one endpoint M and the other P. Go half way between the two and label it O.

34z = 36z - 7

MO = 119

Step-by-step explanation:

A line segment with a midpoint means the segment has been divided into two equal segments. This means each segment is equal to the other OM = OP.

You can solve for z by setting them equal to each other.

34z = 36z - 7

-2z = -7

z = 7/2

To find MO, substitute z = 7/2 into the equation OM = 34z.

OM = 34(7/2) = 238/2 = 119

Can someone help me solve this please

Answers

Answer:

I wanna say that the answer is D p(x) = 8x + 20

Step-by-step explanation:

A person sitting in the top row of the bleachers at a sporting event drops a pair of sunglasses from height of 24 feet. the function h= -16X squared + 24 represents the height h ( in feet) of the sunglasses after x seconds. how long does it takes the sunglasses to hit the ground.) please someone help me I will mark Brainliest​

Answers

Answer: square root of 3/2 seconds

Step-by-step explanation:

h=-16x²+24

Set the height to be 0

0=-16x²+24

-24=-16x²

24=16x²

24/16=x²

x²=3/2

x= square root of 3/2

you have to set the equation equal to 0 to represent when it hits the ground

0=-16x²+24

-24=-16x²

-24/16=x² --> -3/2=x²

x=-1.22474

write 7.75 x 10^-3 in standard notation​

Answers

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

7.75 × 10^−3

7.75 x 10^-3 in standard notation is 0.775

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