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2 years ago

Given (x – 7)2 = 36, select the values of x.

Mathematics

1 answer:

SVEN [57.7K]2 years ago

3 0

Answer:

x = 25

Step-by-step explanation:

Solve by isolating x:
(x-7)2 = 36
x-7 = 18
x = 25

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A DVD rental service wants to pay close attention to what movies their customers like the most. Which measure of central tendenc

ivanzaharov [21]

Answer:

Mode.

Because it is used to determine the most frequently occurring item which in this case is movie.

Step-by-step explanation:

The 3 measure of central tendencies are namely;

Mean, median mode.

- Mean is defined as the average of a set of data.

- Median is the middle term of a set of data that splits that set of data into 2.

- Mode is the term that occurs most frequently in a set of data.

In this question, we want to find the movies most frequently watched.

Thus, from the definitions above earlier, it is clear that the only way to know this is using the mode.

3 0

3 years ago

Divide x ^ 4 + x - 1 by x - 1

vladimir2022 [97]

The required, divide is given by $=x^3+x^2+x+2+\frac{1}{x-1}$

<h3>What is fraction of polynomial?</h3>

Fraction of polynomial is, in the numerator and in the denominator of a fraction there is polynomial function

$=x^3+\frac{x^3+x-1}{x-1}\\$

$=x^3+x^2+\frac{x^2+x-1}{x-1}\\$

$=x^3+x^2+x+\frac{2x-1}{x-1}\\$

$=x^3+x^2+x+2+\frac{1}{x-1}$

Thus the required, divide is $=x^3+x^2+x+2+\frac{1}{x-1}$ .

Learn more about Fraction of polynomial here:
brainly.com/question/9686817

#SPJ1

6 0

2 years ago

Read 2 more answers

If the volume of a cube is increased by a factor of 10 (so that the new volume is 10 times the size of the original volume), by

Alexeev081 [22]

Answer:

surface area of cube $10^{\frac{2}{3} }$ time

Step-by-step explanation:

given data

new volume = 10 time original volume

to find out

what factor surface area change

solution

we consider here side of cube is a

and volume is V

we consider here a is 2

then volume will be v1 = a³ = 2³ = 8

and surface area = 6a² = 6(2)² = 24 ..........1

so if volume increase 10 time

than

V = 10 × v1

a³ = 10 × 8

a³= 80

a = 2 × ∛10

and

surface area increase here

surface area = 6a²

surface area = 6( 2 × ∛10 )²

surface area = 24 × $10^{\frac{2}{3} }$ ............2

so from equation 1 and 2

surface area / surface area = 24 × $10^{\frac{2}{3} }$ / 24

surface area = $10^{\frac{2}{3} }$

so here surface area of cube will be $10^{\frac{2}{3} }$ time

5 0

4 years ago

Farmer has to transport a fox, a chicken, and a sack of corn across a river. she can carry only one item at a time. if left toge

vagabundo [1.1K]

Step by step guide
1)carry the chicken over and put it there
2) farmer cross alone to carry the corn over and carry the chicken back
3) put the chicken there and carry the fox to put there with th3 corn
4) go back to get the chicken

6 0

3 years ago

Can someone explain to me how to find the vertex form of this equation? y= -x^2 + 12x-4

AVprozaik [17]

<u>ANSWER: </u>

The vertex of given equation $y=-x^{2}+12 x-4$ is (6, 32).

<u>SOLUTION: </u>

Given, quadratic equation is $y=-x^{2}+12 x-4$

Above equation is a parabola and we need to find the vertex of that parabola. We know that, general form of the parabola is $y=a(x-h)^{2}+k$

Where, (h, k) is the vertex.

So, let us convert the given equation in parabolic equation.

$\begin{array}{l}{y=-x^{2}+12 x-4} \\ {y=-\left(x^{2}-12 x+4\right)} \\ {y=-\left(x^{2}-(2)(x)(6)+6^{2}-6^{2}+4\right)} \\ {\left.y=-\left((x-6)^{2}-36+4\right)\right)} \\ {y=-(x-6)^{2}+32}\end{array}$

Now, by comparing above equation with general form,

h = 6, k = 32 and a = -1.

Hence, the vertex of given equation is (6, 32).

5 0

3 years ago