3 years ago

Write an absolute value equation that has 2 and 6 as solutions

Mathematics

1 answer:

Soloha48 [4]3 years ago

8 0

The equation is X2-8X+12

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B) y = log2 (4" - 4)<br> find the inverse of this equation

GuDViN [60]

Answer:

$y = \frac{1}{4} \times {2}^{x} - 1$

Step-by-step explanation:

Assuming the given logarithmic equation is

$y = \log_{2}( {4}{x } - 4)$

We interchange x and y to get:

$x= \log_{2}( {4}{y} - 4)$

We solve for y now:

${2}^{x} = {4}{y} - 4$

We add 4 to both sides to get;

${2}^{x} + 4 = 4y$

Divide through by 4:

$y = \frac{1}{4} \times {2}^{x} - 1$

4 0

4 years ago

Total surface area of a cube is 1014cm^2. It's volume will be :

rewona [7]

Answer:

$V=2197\ cm^3$

Step-by-step explanation:

<u>Surface Area and Volume of a Cube</u>

Given a cube of side length a, the surface area is:

$A = 6a^2$

The volume is calculated as:

$V=a^3$

It's given the surface area of a cube:

$A=1014\ cm^2$

We can find the side length a by solving for a:

$\displaystyle a=\sqrt{\frac{A}{6}}$

$\displaystyle a=\sqrt{\frac{1014}{6}}$

$\displaystyle a=\sqrt{169}$

a = 13 cm

Now compute the volume:

$V=13^3$

$\boxed{V=2197\ cm^3}$

Answer: a) 2197 cm^3

5 0

3 years ago

15 other seven as a mixed number

Elden [556K]

It would be: 15/7 = 2 1/7

5 0

3 years ago

(Brainliest Award) Peter and Paula are both members of a population, and a simple random sample is being conducted. If the chanc

ZanzabumX [31]

If the sample is truly random, every member of the population should have an equal chance to be selected. Because of this, Paula and Peter's probability of being chosen will be equal: 1/9800

8 0

3 years ago

Write the equation of the line that passes through (4, -6) and (8, 10)

snow_tiger [21]

Answer:

Line equation: y=4x−22

Slope: 4

Intercept: -22

Step-by-step explanation:

7 0

3 years ago