Solve the quadratic equation by factoring

Answer:

Step-by-step explanation:

The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.

The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get

[tex]\bar{x}=14[/tex] and use this to find the variance in the formula:

[tex]s^2=\frac{\sum(x_i-\bar{x})^2}{n}[/tex] it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:

[tex]s^2=\frac{(8-14)^2+(12-14)^2+(15-14)^2+(17-14)^2+(18-14)^2}{5}[/tex]

Squaring this ensures us that we don't end up with zero, which would be useless.

[tex]s^2=\frac{36+4+1+9+16}{5}[/tex] so

[tex]s^2=13.2[/tex] which means that the standard deviation is

s = 3.633

(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)

Answer:

I believe its (-3,-2)...........

Answer:

Elisa return in time. :)

Step-by-step explanation:

It is given that the bathtub is 17 inches deep.

The water fills the tub at a rate of 3 inches of water for every 5 minutes.

Elisa spent 26 minutes with neighbor.

Let's find whether the tub overflow or did she return in time.

In 5 minutes  water filled is 3 inches

In 10 minutes water filled is 6 inches

In 15 minutes water filled is 9 inches

In 20 minutes water filled is 12 inches

In 25 minutes water filled is 15 inches

In 26 minutes water filled in is 15+1/3 inches , which is same as 15.33 inches.

But the deep of tub is 17 inches.

We could say, she return in time.

Answer:

you are correct'v'

Step-by-step explanation:

in the first column it adds the next odd number, 1, 3, 5,7

and in the 2nd it mutiplies by 2 so it would be faster by a whole lot

There are an infinite number of them.

The ten greatest ones are -5, -6, -7, -8, -9, -10, -11, -12, -13, and -14 .

Now that I've given you ten of them, there are only an infinite number more. I'm too busy right now to list them all.

Answer:

p and q are two numbers.whrite down an expression of.

Answer:

Polynomial Expression.

Step-by-step explanation:

Answer:

11.925

Step-by-step explanation:

Answer:

Here is your answer..

Hope it helps

Answer:

3.75 < n

Step-by-step explanation:

n + 7 < 5n - 8

Add 8 to both sides

n + 7 + 8 < 5n

n  + 15 < 5n

Subtract 'n' from both sides

15 < 5n - n

15 < 4n

Divide both sides by 4

[tex]\frac{15}{4}[/tex] < n

3.75 < n

Answer: B and C

Step-by-step explanation:

the triangle inequality theorem states that any 2 sides of a triangle must be greater than the measure of the third side. now with this rule, let's apply it to all options!

option a:

7 + 5 > 6 .. yes!

6+ 7 > 5 .. yes!

5 + 6 > 7 .. yes!

option b:

9 + 12 > 19 .. yes!

12 + 19 > 9 .. no!

19 + 9 > 12 .. no!

option c:

7 + 11 > 18 .. no!

11 + 18 > 7 .. no!

18 + 7 > 11 .. yes!

option d:

6 + 8 > 11 .. yes!

8 + 11 > 6 .. yes!

11 + 6 > 8 .. yes!

i did this topic years ago so please let me know if there are any mistakes! hope this helped, and good luck! ◝(ᵔᵕᵔ)◜

Answer:

Option A, x = -3

Step-by-step explanation:

Step 1:  Find the graphed line

x = -3

Answer:  Option A, x = -3

Answer:

Its your answer ......

hope it will help u

Answer:

Step-by-step explanation:

GHLM is a rectangle

MG = LH

MG = 14

ΔMXG ~ ΔKXL

In similar triangles, corresponding side are in same ratio.

[tex]\frac{MG}{MX}=\frac{XL}{XK}\\\\\frac{14}{7}=\frac{x}{8}\\\\\frac{14}{7}*8=x\\\\x = 8*2\\\\x= 16[/tex]

Answer:

The numbers you're looking for are 54, 55, and 56.

Step-by-step explanation:

x + (x + 1) + (x + 2) = 5 * (x + 1 - 22)

3x + 3 = 5x - 105

3 = 2x - 105

108 = 2x

x = 54

x + 1 = 55

x + 2 = 56

Answer:

how do I get started here

Given:

The inequality is:

[tex]y<\sqrt{x+3}+1[/tex]

To find:

The domain and range of the given inequality.

Solution:

We have,

[tex]y<\sqrt{x+3}+1[/tex]

The related equation is:

[tex]y=\sqrt{x+3}+1[/tex]

This equation is defined if:

[tex]x+3\geq 0[/tex]

[tex]x\geq -3[/tex]

In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.

So, the domain of the given inequality is x>-3.

We know that,

[tex]\sqrt{x+3}\geq 0[/tex]

[tex]\sqrt{x+3}+1\geq 0+1[/tex]

[tex]y\geq 1[/tex]

The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.

So, the domain of the given inequality is y>1.

Therefore, the correct option is A.

Answer:

38,095.24

Step-by-step explanation:

40,000 = P(1 + 0.05)^1

P = 40,000/1.05

P = 38095.2380952

Answer:

50

Step-by-step explanation:

Answer:

Horizontal line

Step-by-step explanation:

uehdjd

Answer:

i think its 24

Step-by-step explanation:

2=2

Step-by-step explanation:

Answer with explanation is in the attachment

Hope it is helpful to you

0 = (x-8)^2 -100

Add 100 to both sides

100 = (x-8)^2

Take the square root of both sides

10 = (x-8)

Remove the parentheses

10 = x-8

Add 8 to both sides

18 = x

Answer: x = 18

Answer:

1 ) - 0.04

2 ) 1

3 ) - 0.04

4 ) Less of 0.04 gallons of fuel for every 1 mile.

Answer:

90%

Step-by-step explanation:

63/70 = 0.9 = 90%

Answer:

63 out of 70

63×10÷70=9

9%

Answer:

x = 52

y = 19

Step-by-step explanation:

The degree measure of a straight line is (180) degrees. One can use this to find the measure of the angle that is adjacent to the angle with a measure of (142) degrees. Form an equation and solve for the unknown,

142 + (unknown angle) = 180

unknown angle = 38

The inscribed angle theorem states that twice the measure of an angle with its vertex of the circumference (outer edge) of a circle is equal to the measure of the surrounding arc. Therefore, one can state the following:

(2)(unknown angle) = (surrounding arc)

(2)(38) = (surrounding arc)

76 = surrounding arc

The central angles theorem states that the measure of an angle whose vertex is the center of the circle is equal to the measure of the surrounding arc. Therefore, one can state the following:

m<O = (surrounding arc)

m<O = 76

The radius is the distance from the center of the circle to the circumference of the circle. All radii in a circle are congrunet. Therefore the triangle with angle (x) and vertex (O) is an isosceles triangle, as two of its sides are radii, and are thus congruent. One property of an isosceles triangle is the base angles theorem. This theorem states that the angles opposite the congruent sides in an isosceles triangle are congruent. Moreover, the sum of angles in any triangle is (180) degrees. Therefore, one can make the following statement:

m<O + x + x = 180

76 + 2x = 180

x = 52

Finally, one can use the property that the sum of angles in any triangle is (180) degrees to make the following statement:

(x + 19) + (x + y) + (38) = 180

52 + 19 + 52 + y + 38 = 180

161 + y = 180

y = 19

x=52°

y=19°

Answer:

Solution given:

<OCA=19°[base angle of isosceles triangle]

Since ∆AOC is similar to ∆ BOC

y=19°[corresponding angle of a similar triangle are equal]

<OAB=<OBA=x[base angle of isosceles triangle]

again

<A+<B=180°[exterior angle of a triangle is equal to the sum of two opposite interior angle]

x+19+x+19=142°

2x=142°-38°

x=104/2

x=52°

Answer:

y = -x/2 - 14

Step-by-step explanation:

Hint: The slope shows the rise over run, in this case, the slope is going 1 unit to the right and two units down.

Answer:

4

Step-by-step explanation:

-3/4m - 1/2 = 2 + 1/4m

The denominators are 4 and 2

If we multiply by the least common multiply we can get rid of the fractions

2 and 4 have a least common multiple of 4

Answer: it’s 111

Step-by-step explanation: