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2 years ago

Can someone please take the time out of they’re day and help me and with this question

Mathematics

1 answer:

Bumek [7]2 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

(a)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 100) and (x₂, y₂ ) = (2, 200) ← 2 points on the line

m = $\frac{200-100}{2-0}$ = $\frac{100}{2}$ = 50

The line crosses the y- axis at (0, 100 ) ⇒ c = 100

y = 50x + 100 ← equation of line

where y is monthly savings and x the time in months

(b)

Slope is the monthly deposit , that is $50 per month

The y- intercept indicates the original amount in her account , that is $100

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Which equation represents the same line as the points in the table

vodomira [7]

Answer:

$y=\frac{-3}{4} x+2$

Step-by-step explanation:

First, we can find the slope using the slope equation and two of the points.

Slope equation:

$m=\frac{y2-y1}{x2-x1}$

I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.

$m=\frac{2-5}{0--4}$

Simplify:

$m=\frac{-3}{4}$

Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is

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7 0

3 years ago

Read 2 more answers

Factor the polynomial. 7x2 + 68xy - 20y2 A) (7x - 2y)(x + 10y) B) (7x - 10y)(x - 2y) C) (7x + 10y)(x + 2y) D) (7x + 2y)(x - 10y)

Otrada [13]

For this case we have the following polynomial:
7x2 + 68xy - 20y2
Factoring we have:
(7x-2y) (x + 10y)
We verify the factorization:
7x2 + 70xy - 2xy - 20y2
Rewriting we have:
7x2 + 68xy - 20y2
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Answer:
A) (7x - 2y) (x + 10y)

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2 years ago

Solve the system of equations by substitution. y = 2x y = x +1

Veronika [31]

Step-by-step explanation:

y = 2x

y = x + 1

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3 years ago

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Sloan [31]

35%
---- Than cross multiply with ---- = 24500
100% 100 --------
100
Which ends up to be 245.

4 0

3 years ago

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stepladder [879]

Answer:

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Step-by-step explanation:

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