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ss7ja [257]
3 years ago
6

Find the equation of the linear relationship.

Mathematics
1 answer:
rosijanka [135]3 years ago
3 0

Answer:

y = -3x + 150

Step-by-step explanation:

2 points on the graph:

(30, 60) and (40, 30)

Slope:

m=(y2-y1)/(x2-x1)

m=(30 - 60)/(40 - 30)

m= (-30)/10

m= -3

Slope-intercept:

y - y1 = m(x - x1)

y - 60 = -3(x - 30)

y - 60 = -3x + 90

y = -3x + 150

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(7x²+8+5)+(3x²-2x-2) add polynomials​
eimsori [14]

Answer:

10x²+11-2x

Step-by-step explanation:

I hope you mean 7x²+8+5, not 7x²+8x+5.

We need to combine like terms. Anything with squared should be added together, et cetera.

(7x²+8+5)+(3x²-2x-2)

You can take out the parenthesis, because they don't matter in addition.

7x²+8+5+3x²-2x-2

Add the terms, step by step. Each bold pair needs to be added together.

7x²+8+5+3x²-2x-2

10x²+8+5-2x-2

10x²+11-2x

Now there's no more we can add together.

3 0
4 years ago
Find the accumulated amount of the annuity. (Round your answer to the nearest cent.) $1000 monthly at 4.6% for 20 years.
pantera1 [17]

Answer:

Accumulated amount will be $2504.90.

Step-by-step explanation:

Formula that represents the accumulated amount after t years is

A = A_{0}(1+\frac{r}{n})^{nt}

Where A = Accumulated amount

A_{0} = Initial amount

r = rate of interest

n = number of times initial amount compounded in a year

t = duration of investment in years

Now the values given in this question are

A_{0} = $1000

n = 12

r = 4.6% = 0.046

t = 20 years

By putting values in the formula

A = 1000(1+\frac{0.046}{12})^{240}

  = 1000(1+0.003833)^{240}

  = 1000(1.003833)^{240}

  = 1000×2.50488

  = 2504.88 ≈ $2504.90

Therefore, accumulated amount will be $2504.90.

8 0
3 years ago
6 to the 4th power x 6 to the 4th power
BartSMP [9]

Answer:

1679616

Step-by-step explanation:

Find what 6^4 is

6^4=1296

multiply 1296x1296=1679616

3 0
3 years ago
Read 2 more answers
What is an equation of a line that passes through the point (-2 3) and is parallel to the line whose equation is y=3/2x-4?
AleksandrR [38]
Ssssjsjdjsjdndnjdjsjsjsjdjdjdjdjdjdkejenendkdjd

3 0
3 years ago
This shows the template for a diamond-shaped mirror frame. (View attachment)
Tomtit [17]

Answer:

We know that the area of a square of side length L is given by:

A = L^2

Here, the total area of the white square is:

A = (3x + 1)^2

And the area of the shaded square is:

A' = (2x + 3)^2

a) If we remove the shaded area from the white area, the remaining area is just the difference between the two, then:

area = A - A' =  (3x + 1)^2 - (2x + 3)^2

This is the expression we wanted.

b) Now we need to expand and simplify the expression:

area = (3x + 1)^2 - (2x + 3)^2

area = (3x)^2 + 2*(3x)*1 + 1^2 - (2x)^2 - 2*(2x)*3 - 3^2

area = 9x^2 + 6x + 1 - 4x^2 - 12x - 9

area = (9 - 4)*x^2 + (6 - 12)*x + 1 - 9

area = 5*x^2 - 6*x - 8

This is the simplified equation for the remaining area.

8 0
3 years ago
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