Answer:
y = 
x - 11
Step-by-step explanation:
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 = 
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (6, 10)
m = 
= 
= , thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 4) , then
- 4 = 7 + c ⇒ c = - 4 - 7 = - 11
y = x - 11 ← equation of line
It is 24 its been a while since ive done this
Answer:
C. (5x^3-7)(2x^2+1)
Step-by-step explanation:
Given expression is,
10x^5+5x^3-14x^2-7
=10x^5-14x^2 + 5x^3 - 7 (By the commutative property)
=2x^2(5x^3-7)+5x^3-7 (Taking 2x^3 common from first two terms )
=(5x^3-7)(2x^2+1) (Taking 5x^3-7 common from both terms)
\implies 10x^5+5x^3-14x^2-7=(5x^3-7)(2x^2+1)
Hence, Option C is correct
Based on the charge to the artist and the amount the streaming services pay, the following are true:
- -50.
- 5.
- y = 5x - 50
- .
- 10,000 streams.
- 190,010,000 streams
<h3>What model can be derived for the streaming data?</h3>
The y-intercept would be the amount that the artist has before they start making any money. In this case that amount is -$50 because they will owe the distributor.
The slope is the change per unit which is $5.00 here.
The formula is therefore:
y = mx + b
y = Slope × x + b
y = 5 × x + (-50)
y = 5x - 50
The number of streams to pay off the distributor is when the profit is $0:
0 = 5x - 50
50 = 5x
x = 10 units
Number of streams:
= 10 units x 1,000
= 10,000 streams
To make a profit of $950,000, the units are:
950,000 = 5x - 50
5x = 950,000 + 50
x = (950,000 + 50) / 5
= 190,010 units
Number of streams is:
= 190,010 x 1,000
= 190,010,000 streams
Find out more on linear equations at brainly.com/question/1884491.
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Answer:
$20.40
Step-by-step explanation:
20% off means that the new price of the skirt will be 80% of the original price:
$30(100% – 20%) = $30(80%)
Converting the percent to a decimal gives:
$30(0.8) = $24.00
There is an additional 15% off the sale price of $24.00, so the final price is 85% of the sale price:
$24(100% – 15%) = $24(85%)
Again converting the percent to a decimal gives:
$24(0.85) = $20.40
