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Ket [755]
2 years ago
6

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

Mathematics
1 answer:
Gre4nikov [31]2 years ago
8 0

Answer:

x = 13 and x = 1

Step-by-step explanation:

(x-7)² = 36

simplify left side of equation

x² - 14x + 49 = 36

Our object now is to get every thing on the left side of the equal sign so we can factor. To do this, we subtract 36 from both sides

x² - 14x + 13 = 0

we then factor the left side of the equation

( x - 1 ) ( x - 13 ) = 0

we then set factors equal to 0 and solve both factors for x

x - 1 = 0

add 1 to both sides

x = 1

x - 13 = 0

add 13 to both sides

x = 13

The values of x are x = 13 and x = 1

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In a school of 330 students, 85 of them are in a drama club, 200 of them are in a sports team and 60 of them do both
Neko [114]

Answer:

105/330 = 21/66 = 7/22

7/22 is the answer I think

Step-by-step explanation:

n(U) = 330

n(A) = 85

n(B) = 200

n(A n B) = 60

Now,

n(A U B) = n(A) + n(B) - n(A n B)

or, n(A U B) = 85 + 200 - 60

or, n(A U B) = 285 - 60 = 225

Now,

n(A U B) compliment = n(U) - n(A U B)

n(A U B) compliment = 330 - 225

so, n(A U B) compliment = 105

Now,

probability = 105/330

8 0
2 years ago
A school dance committee has 14 volunteers. Each dance requires 3 volunteers at the door, 5 volunteers on the floor, and 6 float
siniylev [52]

There are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned from 14 volunteers.

Given that a school dance committee has 14 volunteers and each dance requires 3 volunteers at the door, 5 volunteers on the floor and 6 on floaters.

We are required to find the number of ways in which the volunteers can be assigned.

Combinations means finding the ways in which the things can be choosed to make a new thing or to do something else.

nC_{r}=n!/r!(n-r)!

Number of ways in which the volunteers can be assigned is equal to the following:

Since 2 have not been assigned so left over volunteers are 14-2=12 volunteers.

Number of ways =14C_{12}

=14!/12!(14-12)!

=14!/12!*2!

=14*13/2*1

=91 ways

Hence there are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned.

Learn more about combinations at brainly.com/question/11732255

#SPJ1

5 0
2 years ago
On a coordinate plane, an absolute value graph has a vertex at (10, 6).
lorasvet [3.4K]

Answer: (10, ∞)

Step-by-step explanation:

See the graph in the attached image.

4 0
1 year ago
What is the length of the segment with end points -3,4 and 5,4
Luda [366]

Answer:

8

Step-by-step explanation:

The distance or the length between two points can be computed using the formula:

d = \sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}

X₁ = x-coordinate of first point

X₂ = x-coordinate of the second point

Y₁ = y-coordinate of first point

Y₂ = y-coordinate of the second point

When we right down the coordinates of a point, we always start with the X and then the Y.

(X,Y)

You have the following coordinates or points

Point 1: (-3,4)

Point 2: (5,4)

Based on that we have the following given:

X₁ = -3

X₂ = 5

Y₁ = 4

Y₂ = 4

Now we just fill in the formula:

d=\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}\\\\ =\sqrt{(5-(-3))^2+(4-4)^2}\\\\ =\sqrt{8^2 + 0^2}\\\\ =\sqrt{8^2} \\\\=8

7 0
3 years ago
In a fraction times fraction problem, do you multiply the denominator?
polet [3.4K]
Yes, you multiply the numerator by the numerator and the denominator by the denominator
5 0
3 years ago
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