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2 years ago

If the value of a real number x satisfies -2x + 5= -1, then what is the value of 5x

Mathematics

2 answers:

Nitella [24]2 years ago

8 0

-2x + 5 = -1

subtract 5 from both sides: -2x = -6

divide each side by -2: x = 3

plug in 3: 5(3)

multiply: 15

the value of 5x is 15.

sp2606 [1]2 years ago

5 0

First, solve for x.

-2x + 5 = -1

Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 5 from both sides

-2x + 5 (-5) = -1 (-5)

-2x = -6

Next, divide -2 from both sides

-2x/-2 = -6/-2

x = -6/-2

x = 3

------------------------------------------------------------------------------------------------------------------------

Plug in 3 for x

5x = 5(3) = 5 x 3 = 15

15 is your answer

hope this helps

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Plz put the work clearly plzz I really need these

Dmitrij [34]

Answer:

m∠C = 26°

m∠D = 108°

m∠E = 46°

Step-by-step explanation:

Set up the equation adding the expressions together to equal 180 (sum of all angles in a triangle)

(2x) + (x+3) + (5x-7) = 180

Remove the parentheses

2x + x+ 3 + 5x - 7 = 180

Add like terms

8x - 3 -7 = 8x -4 = 180

8x - 4 = 180

Add 4 on each side to cancel it out on the right

8x - 4 = 180

+4 = +4

8x = 184

Divide each side by 8 to get the variable by itself

8/8 =1 184/8 = 23

x = 23

Substitute x in eac expression

2x = 2(23) = 46°

x + 3 = 23 + 3 = 26°

5x - 7 = 5(23) - 7 = 115 -7 = 108

Chek it by adding all the degrees to make sure it equals 180

46 + 26 + 108 = 72 + 108 = 180

8 0

2 years ago

For the function f(x)

WITCHER [35]

Given:

The function is

$f(x)=\dfrac{8\sqrt[3]{x}-8}{9}$

To find:

The inverse function $f^{-1}(x)$ .

Solution:

We have,

$f(x)=\dfrac{8\sqrt[3]{x}-8}{9}$

Step 1: Putting f(x)=y, we get

$y=\dfrac{8\sqrt[3]{x}-8}{9}$

Step 2: Interchange x and y.

$x=\dfrac{8\sqrt[3]{y}-8}{9}$

Step 3: Isolate variable y.

$9x=8\sqrt[3]{y}-8$

$9x+8=8\sqrt[3]{y}$

$\dfrac{9x+8}{8}=\sqrt[3]{y}$

Taking cube on both sides, we get

$\left(\dfrac{9x+8}{8}\right)^3=y$

$y=\left(\dfrac{9x+8}{8}\right)^3$

Step 4: Putting $y=f^{-1}(x)$ , we get

$f^{-1}(x)=\left(\dfrac{9x+8}{8}\right)^3$

Therefore, the correct option is C.

4 0

2 years ago

John goes running every morning. He can run 3 miles in 1 hour. How many miles would he be able to run in 1 and ½ hours? A. 4.5 m

BARSIC [14]

Answer:

Step-by-step explanation:

well less than 3

7 0

2 years ago

Read 2 more answers

A hardware store rents vacuum cleaners that customers may use for part or all of a day, up to 12 hours, before returning. The st

jek_recluse [69]

The flat fee that the store charges is $14 and the cost for 7 hours is $56

A linear equation is on the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

let f for the total rental cost of a vacuum cleaner for x hours

Using the points (1, 20) and (3, 32) from the table:

$f-f_1=\frac{f_2-f_1}{x_2-x_1} (x-x_1)\\\\f-20=\frac{32-20}{3-1} (x-1)\\\\f(x)=6x+14$

The flat fee that the store charges is $14

The reasonable domain is 1 ≤ x ≤ 12

The cost for 7 hours is:

f(7) = 6(7) + 14 = 46

Find out more on linear equation at: brainly.com/question/14323743

4 0

1 year ago

Part I: Measuring Parts of a Circle

cluponka [151]

Answer:

case a) The approximate circumference of circle is $5.9\ units$ and the ratio of circumference to Diameter is $\frac{C}{D}=2.95$

case b) The approximate circumference of circle is $6\ units$ and the ratio of circumference to Diameter is $\frac{C}{D}=3$

case c) The approximate circumference of circle is $6.24\ units$ and the ratio of circumference to Diameter is $\frac{C}{D}=3.12$

Step-by-step explanation:

we know that

The approximate circumference of each circle, is equal to the perimeter of each inscribed polygon

case A) the figure is an inscribed pentagon

step 1

Find the approximate circumference of circle

The perimeter of the pentagon is equal to

$P=5s$

where

$s=1.18\ units$

substitute

$P=5(1.18)=5.9\ units$

therefore

The approximate circumference of circle is $5.9\ units$

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

$D=2r=2(1)=2\ units$

The ratio is equal to

$\frac{C}{D}=5.9/2=2.95$

case B) the figure is an inscribed hexagon

step 1

Find the approximate circumference of circle

The perimeter of the hexagon is equal to

$P=6s$

where

$s=1\ units$

substitute

$P=6(1)=6\ units$

therefore

The approximate circumference of circle is $6\ units$

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

$D=2r=2(1)=2\ units$

The ratio is equal to

$\frac{C}{D}=6/2=3$

case C) the figure is an inscribed dodecahedron

step 1

Find the approximate circumference of circle

The perimeter of the dodecahedron is equal to

$P=12s$

where

$s=0.52\ units$

substitute

$P=12(0.52)=6.24\ units$

therefore

The approximate circumference of circle is $6.24\ units$

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

$D=2r=2(1)=2\ units$

The ratio is equal to

$\frac{C}{D}=6.24/2=3.12$

<em>Conclusion</em>

We know that

The exact value of the ratio $\frac{C}{D}$ is equal to

$\frac{\pi D}{D}=\pi$

The approximate value of the circumference will be closer to the real one when the number of sides of the inscribed polygon is greater

4 0

3 years ago