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Sergeeva-Olga [200]
3 years ago
13

Two is eight less than twice a number. What is the number?

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

First, break it down:

Two is eight less than twice a number

2 = 2x - 8

+8       + 8

10 = 2x

5 = x

Hope this helps :)

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Sketch the graph of the function f(x) = -(x-4)^3 by indicating how a more basic function has been shifted, reflected, stretched,
irina [24]

Step-by-step explanation:

In the attached images we can see the rigid transformation of the function f(x) =x^{3}

1. The basic graph f(x) =x^{3}

2. The reflected graph f(x) = -x^{3}

3. The displaced graph f(x) = -(x-4)^{3}

Reflection: In the expression f(x) = -(x-4)^{3} , the sign - before the parenthesis indicates that the function is reflected in the x axis, for this case the function is even, this means that -f(x) = f(-x) , then the reflection on the x axis is equal to the reflection on the y axis.

Displacement: We observe the term (x-4) of the function f(x) = -(x-4)^{3} and analyze the value -4, where, the sign - indicates displacement to the right and the value 4 indicates the amount that the graph shifted .

3 0
3 years ago
The average person blink 15 to 20 times per minute how many times does the average person blink in an hour
Lostsunrise [7]

Answer:

900-1200

Step-by-step explanation:

mutpliy by 60

5 0
3 years ago
Last year at a certain high school, there were 75 boys on the honor roll and 50 girls on the honor roll. This year, the number o
Fantom [35]

In linear equation, 15.2% did the total number of students on the honor roll decrease.

What in mathematics is a linear equation?

  • A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
  • Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

50 × 24% = 12

50 × 14%= 7

12+ 7 = 19

50+75 = 125

19 ÷125= 15.2%

Learn more about linear equation

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8 0
1 year ago
OC and OR are similar. Find the length of QP.
Elena L [17]

Given:

Circle C and circle R are similar.

The length of arc AB is s = \frac{22 \pi}{9}

The radius of circle C (AC) = 4 unit

The radius of circle R (QR) =6 unit

To find the length of arc QP.

Formula

The relation between s,  r and \theta is

arclength = 2\pi r \frac{\theta}{360}

where,

s be the length of the arc

r be the radius

\theta be the angle.

Now,

For circle C

Taking r = 4

According to the problem,

2 \pi r \frac{\theta}{360} = \frac{22 \pi}{9}

or, 2r \frac{\theta}{360} = \frac{22}{9} [ eliminating \theta from both side]

or, \theta = \frac{(22)(360)}{(9)(2)(4)}

or, \theta = 110^\circ

Again,

For circle R

Taking, r = 6 and \theta = 110^\circ we get,

The length of arc QP is

arc length = 2\pi (6)(\frac{110}{360} )

or, arclength = \frac{11 \pi}{3}

Hence,

The length of QP is \frac{11 \pi}{3}. Option C.

5 0
3 years ago
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