Explain what the intercepts mean in terms of the context and how to find them.

Answer:

-1

Step-by-step explanation:

when adding on a number line you always go to the right.

-5+4=-1 , so you would move 4 places to the right on the number line.

Inversely proportional means as one variable increases the other variable decreases.

In this problem, x is doubled which means it's increased, therefore, y is decreased.

7 / 2 = 3.5

The new value of y is 3.5

Answer:

-13

Step-by-step explanation:

Subsitude -2 to where x is and you get -1o then subtract by -3 and the total is -13

Answer:

The number under the (radical) symbol. That is, a number which is having its square root taken (or cube root, 4th root, 5th root, nth root, etc.). For example, 3 is the radicand in .

Step-by-step explanation:

Answer:

ans is 29/2

Step-by-step explanation:

2x-5/4 =6

2x-=24+5

x= 29/2

Answer:

10

Step-by-step explanation:

(2x-5)/4=6

Or, 2x-5=24

Or, 2x=24+5

Or,2x=29

Or,x=29÷2

Or,x=14.5

Answer:

[tex]d = \sqrt{13}[/tex] or d = 3.61

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(2-(-1))^2+(8-6)^2}\\d= \sqrt{(3)^2+(2)^2}\\d= \sqrt{9+4}\\d= \sqrt{13}[/tex]

The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.

The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).

By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.

The coordinates of the given points are (-1, 6) and (2, 8).

Apply distance formula to get the distance as below,

Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59

Hence, the required distance between the two points is given as 3.59 units.

To know more about distance formula click on,

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Answer:

was only able to do #11

Step-by-step explanation:

Answer:

#12

Step-by-step explanation:

Answer:

27 + 38 i

Explanation:

(4 - (5 * i)) * ((-2) + (7 * i)) =

Answer:

[tex] - 35 {i}^{2} + 10i + 20[/tex]

Step-by-step explanation:

-8 + 28 + 10i - 35i^2

-35i^2 + 10i + 20

Answer:

k = 16

Step-by-step explanation:

Isolate the variable, k. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

Subtract 67 from both sides of the equation:

k + 67 = 83

k + 67 (-67) = 83 (-67)

k = 83 - 67

k = 16

16 is your answer for k.

~

Step-by-step explanation:

A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. A ratio has a colon between the 2 numbers you are comparing.

Example: 3:5

The question is asking the ratio of chairs to tables. There are 24 chairs so the ratio so far is 24:t. There are 6 tables.

24:6

Hope it helps!

Answer:

11x-4

Step-by-step explanation:

f(x)=-3x

g(x) = 2x-1

4g(x) - f(x)

4(2x-1) - ( -3x)

Distribute

8x -4 +3x

Combine like terms

11x-4

Here, we are provided with two polynomials f(x) and g(x),and we need to find 4g(x) - f(x).

Given,

Now,we need to find 4g(x) - f(x). We will simply substitute the given value of polynomials to get the answer.

[tex]4g(x) - f(x)[/tex]

[tex]4(2x - 1) - ( - 3x)[/tex]

Opening the parentheses,

[tex]8x - 4 + 3x[/tex]

Now combing the like terms, and adding them,

[tex]8x + 3x - 4[/tex]

[tex] \boxed{11x - 4}[/tex]

This is our final result.

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Answer:

-6 degrees F

Step-by-step explanation:

We start with -8F as the temperature. It fell 10 degrees to 2F, then fell 8 degrees to -6F.

Answer:

The answer is 10 because -8 plus 10 is 2 - (-8) is still 10 however that's in a calculator the correct answer is -6

Answer:

Step-by-step explanation:

f(g(x))

g(x) = 7x -4

f(7x - 4) = 2(7x - 4) + 15 = 14x - 8 + 15 = 14x + 7

Answer:

x = 6/5

Step-by-step explanation:

Solve for x:

0 = (-5 (x - 6/5))/4

Hint: | Put the fractions in x - 6/5 over a common denominator.

Put each term in x - 6/5 over the common denominator 5: x - 6/5 = (5 x)/5 - 6/5:

0 = (-5)/4 (5 x)/5 - 6/5

Hint: | Combine (5 x)/5 - 6/5 into a single fraction.

(5 x)/5 - 6/5 = (5 x - 6)/5:

0 = (-5)/4 (5 x - 6)/5

Hint: | In (-5 (5 x - 6))/(5×4), divide -5 in the numerator by 5 in the denominator.

(-5)/5 = (5 (-1))/5 = -1:

0 = (-1 (5 x - 6))/4

Hint: | Reverse the equality in 0 = (-(5 x - 6))/4 in order to isolate x to the left hand side.

0 = (-(5 x - 6))/4 is equivalent to (-(5 x - 6))/4 = 0:

(-(5 x - 6))/4 = 0

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (-(5 x - 6))/4 = 0 by -4:

(-4 (-(5 x - 6)))/4 = -4×0

Hint: | In (-4 (-(5 x - 6)))/4, divide -4 in the numerator by 4 in the denominator.

(-4)/4 = (4 (-1))/4 = -1:

--1 (5 x - 6) = -4×0

Hint: | Multiply all instances of -1 in -(-(5 x - 6)).

(-1)^2 = 1:

5 x - 6 = -4×0

Hint: | Any number times zero is zero.

0 (-4) = 0:

5 x - 6 = 0

Hint: | Isolate terms with x to the left hand side.

Add 6 to both sides:

5 x + (6 - 6) = 6

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

5 x = 6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 5 x = 6 by 5:

(5 x)/5 = 6/5

Hint: | Any nonzero number divided by itself is one.

5/5 = 1:

Answer: x = 6/5

Answer:

I'm pretty sure y=mx+b is standard form, unless I'm reading the question wrong.

Step-by-step explanation:

Answer:

Step-by-step explanation:10

Answer:

Use FOIL I helped with what I could I don't fully understand the problem but I'm pretty sure FOIL needs to be used to solve.

Answer:

12r^2 +r-7

Step-by-step explanation:

Answer:

{x,y}={1,2}

Step-by-step explanation:

Answer:

it is D ..................

Answer:

$40 is the sales price after a 20% discount.

(*Edited as the shoes are $50.00, not $60.00)

Step-by-step explanation:

When calculating discounts, we can convert the percentage to a decimal and multiply by the original sales price:

[tex]50(.20)[/tex]

Multiply.

[tex]50(.20)=10[/tex]

Subtract your product from the sales price.

[tex]50-10[/tex]

Subtract.

[tex]50-10=40[/tex]

Answer:

The ribbion she bought is 45 inches long

Step-by-step explanation:

Answer:

about 45 inches

Step-by-step explanation:

Etta cut the ribbon into 5 peices that were each 9 inches long. Multiply those number and it should be about 45 inches.

Answer:

2500

Step-by-step explanation:

Step 1:

( 25 × 43 ) + ( 25 × 57 )

Step 2:

1075 + 1425

Answer:

2500

Hope This Helps :)

|9x - 9| = 36

To solve for the first solution, simply disregard the absolute value signs.

9x - 9 = 36

Add 9 to both sides

9x = 45

Divide both sides by 9

x = 5

To find the second solution, disregard the absolute value signs and change 36 to -36

9x - 9 = -36

Add 9 to both sides

9x = -27

Divide both sides by 9

x = -3

Now, we need to find the sum of these two solutions.

5 + (-3) = 5 - 3 = 2

Answer:

40

Step-by-step explanation:

because if you do 400 divided by 10, it gives you 40

Answer:

7.826 • 10^-3

Step-by-step explanation:

the decimal is moved 3 places to the right in order for there to be a digit in the ones place

because decimal is moved right, the exponent must be negative

Answer:

Step-by-step explanation:

x=√(5+2√6)/(5-2√6)

x²(x-10)²=1

substitute the value of x in the equation

[√(5+2√6)/(5-2√6)]²(√(5+2√6)/(5-2√6) -10)²=

solve :

(49+20√6)(49-20√6)=1     multiply

1=1 proved

Answer:

Length of the rectangular yard = 136 feet

Width of the rectangular yard = 64 feet

Step-by-step explanation:

Let

Width = 17 × width

Length = 8 × length

8l = 17w

l = 17w/8

Perimeter of a rectangular yard = 2(length + width)

400 = 2(17w/8 + w)

400 = 34w/8 + 2w

400 = 17/4w + 2w

400 = 17w+8w/4

400 = 25w/4

Cross product

1600 = 25w

Divide both sides by 25

w = 1600/25

= 64 feet

Recall,

l = 17w/8

= 17*64 / 8

= 1088/8

= 136 feet

Length of the rectangular yard = 136 feet

Width of the rectangular yard = 64 feet

Answer: 5 and 4

Step-by-step explanation:

Perimeter = 2 ( L + W)

18 = 2(L + W) divide through by 2

9 = L + W

9 - L = W

Area = L * W

20 = L (9 - L)

20 = 9L - L^2

L^2 - 9L + 20 = 0 factor

(L - 5) (L - 4) = 0

Set both factors to 0 and solve for L

L = 5 and L = 4