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3 years ago

Explain what is the slope, and what is the y-intercept.

Mathematics

1 answer:

cluponka [151]3 years ago

8 0

Answer:

slope :

The steepness of a line expressed as a ratio, using any two points on the line.

y-intercept

The value of y at the point where a curve crosses the y-axis.

Step-by-step explanation:

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Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in

luda_lava [24]

From the given problem statement alone, we can say that the equation relating the area of the lawn mowed and the earnings has a linear relationship. That is because there is a constant increase in the earnings per area which is $1 per 1000 square feet.

Therefore the equation must be in the form of:

y = m x + b

where,

y = is the total earnings

m = is the fee per area = 1 / 1000

x = is the area of the lawn

b = is the fixed fee = 30

Therefore the equation becomes:

y = 0.001 x + 30

Rewriting this in terms for x since we are to find the area:

x = (y – 30) 1000

when y = 204

x = (204 – 30) 1000 = 174,000 square feet

when y = 344

x = (344 – 30) 1000 = 314,000 square feet

when y = 450

x = (450 – 30) 1000 = 420,000 square feet

when y = 482

x = (482 – 30) 1000 = 452,000 square feet

when y = 504

x = (504 – 30) 1000 = 474,000 square feet

8 0

3 years ago

What are the a b and c values of 3x^2-4x=20

joja [24]

Answer:

$a = 3, b = -4, c = -20$

Step-by-step explanation:

<u>Step 1: Find the a, b, and c values</u>

$ax^2 + bx + c = 0$

$3x^2 - 4x - 20 = 0$

The a value is: 3

The b value is: -4

The c value is: -20

Answer: $a = 3, b = -4, c = -20$

8 0

3 years ago

V/199 is between...?

MissTica

I think E but I’m probably wrong???

7 0

2 years ago

Please help me out please!!

Greeley [361]

Answer:

yeeet

Step-by-step explanation:

5 0

3 years ago

An explained answer

Sholpan [36]

Answer:

225

Step-by-step explanation:

When you fill in values of n, you find the series is an arithmetic series of 15 terms with a first term of 1 and a common difference of 2. The formula for the sum of such a series can be used.

<h3>Terms</h3>

Looking at terms of the series for different values of n, we find ...

for n = 1: 2(1) -1 = 1 . . . . . the first term

for n = 2: 2(2) -1 = 3 . . . . the second term; differs by 3-1=2

for n = 15: 2(15) -1 = 29 . . . . the last of the 15 terms

The sum of the terms of an arithmetic series is the product of the average term and the number of terms. The average term is the average of the first and last terms.

Sum = (1 +29)/2 × 15 . . . . . . average term × number of terms

Sum = 15 × 15 = 225

The sum of the series is 225.

<em>Additional comment</em>

Based on the first term (a1), the common difference (d), and the number of terms (n), the sum can also be written ...

S = (2×a1 +d(n -1))(n/2)

For the parameters of this series, the sum is ...

S = (2(1) +2(15 -1))(15/2) = 30(15/2) = 225

5 0

1 year ago