9x-(3x-3)=21
Solve the equation. Select the correct choice below and if necessary, fill in the answer box to complete your choice. The solution set is (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) The solution is all real numbers. The solution is the empty set.

Answer:

Step-by-step explanation:

x, 30 - x add to 30.  The other condition says

x (30 - x) = 176.  Multiply it out.

30x - x^2 = 176, so

x^2 - 30x = -176, complete square by adding 15^2 to both sides

(x - 15)^2 = 225 - 176 = 49, take square root

x - 15 = 7,  so one number is:

x = 22 and the other is 30 - x = 8.

Answer:

The coordinates of point L are:

(x₁, y₁) = (-22, 17)

Step-by-step explanation:

We know that the Midpoint Formula is given by:

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

In our case:

M(-12, 6) is the midpoint. Thus,

(x, y)  = (-12, 6)

N(-2, -5) is the second point, Thus,

(x₂, y₂) = (-2,-5)

We have to determine the coordinates of point L.

Let (x₁, y₁)  be the coordinates of point L.

substituting (x, y)  = (-12, 6), (x₂, y₂) = (-2,-5) in the Midpoint Formula

[tex]\left(-12,\:6\right)=\left(\frac{-2+x_1}{2},\:\:\frac{-5+y_1}{2}\right)[/tex]

Determining the x₁ coordinate of the point L

[tex]\frac{-2+x_1}{2}=-12[/tex]

[tex]-2+x_1=-24[/tex]

Add 2 to both sides

[tex]-2+x_1+2=-24+2[/tex]

Simplify

[tex]x_1=-22[/tex]

Determining the y₁ coordinate of the point L

[tex]\frac{-5+y_1}{2}=6[/tex]

[tex]-5+y_1=12[/tex]

Add 5 to both sides

[tex]-5+y_1+5=12+5[/tex]

Simplify

[tex]y_1=17\:\:\:[/tex]

Therefore, the coordinates of point L are:

(x₁, y₁) = (-22, 17)

Answer:

the person up top is correct

Step-by-step explanation:

Answer:

the answer is 3 zz

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

[tex]25 \times 25 - 15 \times 15 = 400[/tex]

[tex] \sqrt{400} = 20[/tex]

Answer:

b=√400

=20

Step-by-step explanation:

15^2+b^2=25^2

225 + b^2=625

b^2=625-225

b^2=400

b=√400

b=20

Answer:

0.5987 = 59.87% probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles

Step-by-step explanation:

For each cell, there are only two possible outcomes. Either it will least for at least 10,000 charge-discharge cycles, or it will not. Cells are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10 individual cells.

This means that [tex]n = 10[/tex]

95% probability

This means that [tex]p = 0.95[/tex]

What is the probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles

This is P(X = 10).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987[/tex]

0.5987 = 59.87% probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles

Answer:

314ft^2

Step-by-step explanation:

The area of a circle is found using this equation:

A=3.14r^2

r = radius

so if we know the radius is 10ft, we can put that into the equation and it will read:

A=3.14(10)^2

^2 means squared, for clarification.

Using PEMDAS we know to do exponents first

A=3.14(100)

Now multiply

A=314

and don't forget to add your units and square!

A=314ft^2

Answer:

(2n+7)^2

Step-by-step explanation:

Answer:

1/14

Step-by-step explanation:

dont really know how to explain... just make sure to change both to a common denominator

Answer:

1/14

Step-by-step explanation:

Answer:

The answer is B

Answer:

D

Step-by-step explanation:

For every 1 unit, it goes vertically 1/2

Answer:

Answer: $75 Equation: (15×2)+3(10-1)+(3×6)=75

Step-by-step explanation:

Answer:

667.302???

Step-by-step explanation:

I tried my best but I don't know if it's right though

Answer:

9,17

Step-by-step explanation:

larger no=8+smaller no

larger no+ smaller no= 26

::8+s(larger no from equation 1 )+s=26

*2s=18

*s=9

0.007, also known as the thousandths place in decimals.

Answer:

-2

Step-by-step explanation:

Answer:

25 million on some jewlery that you put on you head

Step-by-step explanation:

Answer:

$52.5

Step-by-step explanation:

given

P=$50  R=0.05  T=1

I=PRT

I=50×0.05×1

I=$2.5

50+2.5=$52.5

Answer:

(7,-4)

Step-by-step explanation:

3+2=5.  5+2=7

6-5=1  1-5=-4

(7,-4)

Answer:

320

Step-by-step explanation:

19(10) = 190

13(10) = 130

190 + 130 = 320

Answer:

117/16

Step-by-step explanation:

7 * 16 = 112

112+5 = 117

Answer:

It would be very hard to graph this equation correctly as without factoring both the numerator and denominator it would be hard to account for all of the information.

x2−5x+6x2−2x−3x−6(x−2)(x−3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Note that you need to use parentheses around the numerator and around the denominator: f(x) = (2x^2+4)/(x^2+5x+6)

Division by zero is undefined, so x≠-2 and x≠-3.

Vertical asymptotes: x=-2, and x=-3

As x approaches ∞, f(x) approaches 2.

As x approaches -∞, f(x) approaches 2.

Horizontal asymptote: y=2

Answer:

1 + 1 = x

X = 2.

don't delete my answer this time.

again.. if you are so smart why didn't you solve it yourself.

I know how you'll take revenge.

by deleting. my answer ? you can do that if you want.

cause ill still get the point tho. LOL.

Answer:

if you're solving for M then your answer is

m = -19/17

Answer:

2 (941 - 16)

Step-by-step explanation:

You need to first find a number that is a factor of 1882 and -32

In this case it would be 2

So you factor out 2

= 2 (941 - 16)