Write the equation of the line that represents the given situation

Answer:

P = 4 c

12 = 4 c

3 = c

Step-by-step explanation:

Hope this helps.

9514 1404 393

Answer:

  A)  5x+12 = -12x-12

  D)  5x+12 = -5x-12

Step-by-step explanation:

If you subtract the right side expression from both sides, you will get an equation with something equal to zero. If the 'something' has a variable in it, there is exactly one solution.

A: (5x+12) -(-12x-12) = 17x+24 = 0 . . . one solution

B: (5x+12) -(5x-5) = 17 = 0 . . . . no solutions

C: (5x+12)-(5x+12) = 0 = 0 . . . . infinite solutions

D: (5x+12) -(-5x-12) = 10x +24 = 0 . . . one solution

Answer:

m=3/4

Step-by-step explanation:

Get the points from the graph:

(4,2) and (-4,-4)

Slope formula is m= (y_2-y_1)/(x_2-x_1)

m=(-4-2)/(-4-4)

m=-6/-8

Simplify: 3/4

Answer:

1/16

Step-by-step explanation:

Answer:

v = - [tex]\frac{39}{20}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{1}{2}[/tex] - [tex]\frac{2}{3}[/tex] v = [tex]\frac{4}{5}[/tex]

Multiply through by 30 ( the LCM of 2, 3 and 5 )

- 15 - 20v = 24 ( add 15 to both sides )

- 20v = 39 ( divide both sides by - 20 )

v = - [tex]\frac{39}{20}[/tex]

Answer:

[tex]v=-\frac{39}{20}[/tex]

Step-by-step explanation:

Given the expression

[tex]-\frac{1}{2}-\frac{2}{3}v=\frac{4}{5}[/tex]

Add 1/2 to both sides

[tex]-\frac{1}{2}-\frac{2}{3}v+\frac{1}{2}=\frac{4}{5}+\frac{1}{2}[/tex]

[tex]-\frac{2}{3}v=\frac{13}{10}[/tex]

Multiply both sides by 3

[tex]3\left(-\frac{2}{3}v\right)=\frac{13\cdot \:3}{10}[/tex]

[tex]-2v=\frac{39}{10}[/tex]

Divide both sides by -2

[tex]\frac{-2v}{-2}=\frac{\frac{39}{10}}{-2}[/tex]

[tex]v=-\frac{39}{20}[/tex]

Therefore,

[tex]v=-\frac{39}{20}[/tex]

Answer:

-(r+8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Exponential equations can be written as

[tex]y = ab^x\\[/tex]

in this case,

a = 5000 (the starting amount)

we just have to find b

[tex]10000 = 5000b^4\\20000 = 5000b^8\\\\b^4 = 2\\b^8 = 4\\\\\\b = \sqrt[4]{2}[/tex]

[tex]y = 5000(\sqrt[4]{2})^x[/tex]

Answer: 5(x-1)

Step-by-step explanation:

5*x = 5x

5*-1 = -5

therefore the answer is 5(x-1)

5x-5 distributed is 5(x-1).

The common factor of 5x and 5 is 5.

5x divided by 5 is 1x or x.

5 divided by 5 is 1.

So the answer is 5(x-1).

Answer:

x = 32

Step-by-step explanation:

Given the following data;

Unknown number = x

Translating the word problem into an algebraic equation, we have;

[tex] \frac {x}{2} - 10 = 6[/tex]

Lowest common denominator (LCD) = 2

We multiply all through by 2;

[tex] 2* \frac {x}{2} - 2*10 = 2*6[/tex]

[tex] x - 20 = 12[/tex]

[tex] x = 12 + 20[/tex]

x = 32

Therefore, the unknown number is 32.

Answer:

the lines are not parallel because they have different slopes

Step-by-step explanation:

Answer:

it is either a or c i hope that helps a little:)

Answer:

Is there any answer choices?

Step-by-step explanation:

Answer:

answer choices??

Step-by-step explanation:

Answer:

-6 i think

Step-by-step explanation:

Answer:

the y intercept is 3

Step-by-step explanation:

Answer:

E

Step-by-step explanation: 1+12=13

Answer:

The equation in point-slope form is [tex]y-6=2(x-4)[/tex].

Step-by-step explanation:

We are given the slope and a coordinate pair of a line.

Therefore, we can now label our coordinate pair and substitute our values into the formula. Our formula is:

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

We can label our coordinate pairs with the [tex](x_1, y_1)[/tex] labeling method.

Therefore, since our two coordinates are:

We can label 4 as x₁ and 6 as y₁.

Then, we are able to determine m, or our slope.

Now, let's set up our equation.

[tex]\displaystyle y - y_1 = m(x - x_1)\\\\y - 6 = 2(x - 4)\\\\y - 6 = 2x - 8\\\\y = 2x - 2[/tex]

Therefore, our line is y = 2x - 2. However, the problem asks for it in point-slope form. So, this is exactly what we have in Step 2: y - 6 = 2(x - 4).

Answer: about 78 hours if you round up the answer!

Step-by-step explanation:

Answer:

Step-by-step explanation:

We will start with $249 and then add the inequality for h. Note that the number can be larger than 699, but not lower.

Answer:

=3x^5−53x^3−20x^2−10x−40

Step-By-Step explanation:

=(3x^4+−12x^3+−5x^2+−18+8)(x+4)

=(3x^4)(x)+(3x^4)(4)+(−12x^3)(x)+(−12x^3)(4)+(−5x^2)(x)+(−5x^2)(4)+(−18)(x)+(−18)(4)+(8)(x)+(8)(4)

=3x^5+12x^4−12x^4−48x^3−5x^3−20x^2−18x−72+8x+32

=3x^5−53x^3−20x^2−10x−40

Answer:

60 boys are in the grade.

Step-by-step explanation: Since there are 150 students, we can divide that number by the combined ratio, which in this case is 5. Dividing 150 by 5 would yield 30 students. We can use this information to multiply the given number of boys in the ratio by 30, which would produce 60.

Answer:

C

Step-by-step explanation:

9/9 is just 1. Therefore, 8*1 is 8. C is correct

Answer:

True

Step-by-step explanation:

Bcuz, some thing's power 0is 1

According to the zero power rule of exponents, 3^0 = 1. The statement 3^0 ≠ 1 is FALSE.

The zero power rule is a property of exponents which simply states that whatever base that is raised to the power of zero would always be equal to one, i.e., x^0 = 1.

We are given that 3^0 ≠ 1. Based on the zero power rule of exponents, this is FALSE because 3^0 = 1.

Learn more about the zero power rule on:

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Answer:

2 * Length + 2 * width = 318

2 L = 318 - 2 * 62

2 L = 194

Length = 97 Yards

Step-by-step explanation:

Answer:

10 and 6

Step-by-step explanation:

2 can go into both 6 and 10 and 6 and 10 are multiples of 60

Answer:

11 over 20

Step-by-step explanation:

Answer: 5/20

Step-by-step explanation:

9/20+6/20=15/20

20/20-15/20=5/20

Answer:

14

Step-by-step explanation:

Answer:

a) 8 subsets

b) 32 subsets

Step-by-step explanation:

The total number of subset of a set is known as the power of the set

Power of a set is expressed as;

P = 2^n

n is the number of element in the set

a) For a set containing 3 elements

n = 3

Power of the set = 2³

Power of the set is 8

This means that the set contains 8 different subsets

b) Cardinality of a set is the total number of element in the set

If the cardinal number of a set is 5, this means that the set contains 5elements

Hence the power of the set will be;

P = 2^5

P = 32

Hence the total number of subset for set whose cardinal number is 5 is 32

Answer:

0

Step-by-step explanation:

x=1 and y=-3

so 3x^2 + y = 3*1^2 + (-3)

= 3* 1 -3

=0

Answer:

34 and 12

Step-by-step explanation:

so two numbers are x and x-22

then x+x-22=46

2x=68

x=34

x-22 = 12

The numbers are 34 and 12, which gives sum 46 and difference 22.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Let the two numbers are a and b.

According to given conditions,

The sum of a and b is 46,

And the difference of a and b is 22.

Implies that,

a + b = 46      (1)

a - b = 22      (2)

Add equation (1) and (2),

2a = 68

a = 34

Substitute the value of a in equation 1 to get the value of b,

34 + b = 46

b = 46 - 34

b = 12

The required numbers are 34 and 12.

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Answer:

This isn't a question lol

Put the question in the replies to this answer and I'll gladly answer it for you.

Step-by-step explanation:

May I have brainliest please? :)

Answer:

15cm

Step-by-step explanation:

37 + 18 + x + x = 85

2x = 85 - 37 - 18

x = 15cm

This is a question on polygons. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

15

Step-by-step explanation:

I get brainliest please

First, you need to solve the inequalities.

[tex]4q\geq -16[/tex]

[tex]q\geq -4[/tex]

[tex]q+3<7[/tex]

[tex]q<4[/tex]

Now let's write the interval notation for the first one.

The lowest number for this would be -4. q cannot be less than negative -4. Since q can be -4 OR greater than, you use brackets. [-4,

q can be anything greater than -4. So the second number is infinity. Infinity uses parentheses because it is no exact number.

So the interval notation for the first inequality is [-4, ∞).

Now let's write the interval notation for the second one.

q can be anything less than 4. So the first number would be negative infinity: (-∞

q cannot pass 4, so the second number would be 4. Since q does not include 4, you use parentheses: 4)

The interval notation for the second inequality is (-∞, 4).

The interval notation for this compound inequality is [-4, ∞) or (-∞, 4).

Sorry if this was long and confusing. Hope this helped!