All categories

4 years ago

Which equation yields the solutions x=-2 and x=5

Mathematics

1 answer:

leva [86]4 years ago

8 0

Answer:

${x}^{2} - 3x - 10 = 0$

Step-by-step explanation:

$x = - 2 \: and \: x = 5 \\ x + 2 = 0 \: and \: x - 5 = 0 \\ ( x + 2)(x - 5) = 0 \\ {x}^{2} + (2 - 5)x + 2( - 5) = 0 \\ \purple { \bold{{x}^{2} - 3x - 10 = 0}} \\ is \: the \: required \: equation.$

You might be interested in

Which graph shows a set of ordered pairs that represents a function?

pychu [463]

Answer:

B represents a function.

Step-by-step explanation:

Recall these characteristics of a "function:"

Only one y-value can be associated with each x-value.

Thus, A could not represent a function because there are two points with x = 1 and two different y-values: (1, 1) and (1, -2).

B represents a function because for each input (x-value) there is one and only one y-value associated.

C not a function: (2, 3) and (2, -3) have two different y-values associated with one x-value (2).

D not a function: (-3, 4) and (-3, -4) (see A and C, above)

6 0

3 years ago

1. A circular swimming pool has a diameter of 60 feet, and is surrounded by a concrete sidewalk that is 5 feet wide. What is the

Ivenika [448]

We first calculate the area of the entire pool and the side walk.

Given that the pool has a diameter of 60 feet and that the side walk surrounds the pool with a width of 5 feet. This means that the diameter of the entire pool and the side walk is 60 + 5 + 5 = 70 feet and the radius is 70 / 2 = 35 feet

Thus the area of the entire pool and the side walk is obtained as follows:

$Area=\pi r^2 \\ \\ =\pi(35)^2=1,225\pi\ square\ feet$

Given that the pool has a diameter of 60 feet, this means that the radius of the pool is 30 feet.

Thus the area of the pool is given by:

$Area_{pool}=\pi r^2 \\ \\ =\pi(30)^2=900\pi\ square\ feet$

Therefore, the area of the sidewark is the area of the entire pool and side walk minus the area of the pool, this is given by:

$Area_{side walk}=1,225\pi-900\pi \\ \\ =325\pi=1,021 \ square\ feet.$

6 0

3 years ago

A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round you

DedPeter [7]

3.14 x 9^2 x 14/3 = 1186.92

4/3 x 3.14 x 9^3 = 1526.04

1186.92 + 1526.04 = 2712.96 = 2713 cubic inches

3 0

2 years ago

Write the following in scientific notation:<br> 1. 5,400,000,000.=

Kazeer [188]

Answer:

5.4x10^9

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Asher has about a probability of winning then Ethan has which could be the outcome that Ashlee needs to win the game select thre

mash [69]

Answer:

There are 36 total possible outcomes.

Rolling a sum of 11 or higher, there are 3 possible rolls, to make a 3/36 = 1/12 probability.

Rolling a sum of 4 there are also 3 possibilities, so the chance would be the same.

Rolling a sum of 9, there are 4 possibilities, which is a better chance.

Rolling a sum less than 5, there is 6 possibilities, which is a better chance.

Rolling greater than 5 but less than 7 means rolling a sum of 6, there are 5 chances, which is a better chance.

Rolling greater than 9 but less than 11, means rolling a 10, there are 3 possibilities, which is the same.

Rolling greater than 2 and less than 4 means rolling a 3, there are 2 possibilities, which is less.

The answers would be:

Rolling a sum of 9,

Rolling a sum less than 5

Rolling greater than 5 but less than 7

5 0

3 years ago

Read 2 more answers