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3 years ago

Factor x^3 -7x^2 -5x+35 by grouping. what is the resulting expression

Mathematics

1 answer:

Anni [7]3 years ago

8 0

Answer:

(x-7) (x^2-5)

Step-by-step explanation:

x^3 -7x^2 -5x+35

Make 2 groups

x^3 -7x^2 -5x+35

Factor x^2 from the first group and -5 from the second group

x^2 (x-7) -5(x-7)

Now factor (x-7) out

(x-7) (x^2-5)

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What is the nth term rule of the linear sequence below?

Solnce55 [7]

Answer:

tn=a+(n-1)d

tn=22+(n-1)4

tn=22+4n-4

tn=4n+18

7 0

3 years ago

42x + 12 * 18 = 468 What does x equal

3241004551 [841]

X equals 6

How? Well first I multiplied 12 x 18 which is 216.

Then I subtracted 468 - 216 that equals 252.

Because I know that 2 x 6 equals a 12.....x had to be a 6.

So I multiplied 42 x 6 and it equaled 252.

So x is 6

3 0

3 years ago

A garden has a width of 24 feet and a diagonal length of 51 feet. What is the perimeter of the garden ( in feet )?

bekas [8.4K]

Answer:

1,224 feet

Step-by-step explanation:

Multiply 51 feet times 24 feet and then you get 1,224 ft.

3 0

3 years ago

This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probabili

Kruka [31]

Answer: 7/12

Step-by-step explanation:

number of times it landed on A = 6

number of times it landed on B = 21

number of times it landed on C = 9

Total number = 36

The empirical probability that the spinner will land on B is given by

P(B) = number of times it landed on B / Total number , that is

p(B) = 21/36

P(B) =7/12

Note: Empirical means verifiable by observation or experience rather than theory and it was verified that it landed on B 21 times.

6 0

3 years ago

Find the diameter(s) of circle O.

schepotkina [342]

Answer:

The diameter of the circle O is 12 units

Step-by-step explanation:

There is no data in the image provided. To better help you, I'm assuming we have an arbitrary value of

$BC=6\sqrt{2}$

and the triangle B0C is right

Relations in the Circle

The diameter (D) is twice the radius (r) and the radius is the distance measured from the center of the circle to any point of the circumference.

Since the triangle B0C has a right angle, BD is the hypotenuse and 0B=0C=r

Applying Pythagoras's theorem:

$BC^2=r^2+r^2=2r^2$

Thus we have

$2r^2=(6\sqrt{2})^2$

$2r^2=72$

$r^2=36$

$r=6$

The diameter of the circle O is D=2(6) = 12 units

5 0

3 years ago