Answer:
y= -5x +24
Step-by-step explanation:
<u>Slope-intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -5, m= -5.
Substitute m= -5 into the equation:
y= -5x +c
To find the value of c, substitute a pair of coordinates that the line passes through into the equation:
When x= 3, y= 9,
9= -5(3) +c
9= -15 +c
c= 9 +15
c= 24
Thus, the equation of the line is y= -5x +24.
Answer:
A
Step-by-step explanation:
Since we're dealing with perpendicular lines, we take the recipricol of the m value of the original equation.
So the slope we're dealing with is 1/2.
And the equation we have so far is
y = 1/2x + b
Now we solve for b by plugging in the point (4,2).
2 = 1/2(4) + b
2 = 2 + b
b = 0
So the final equation is
y = 1/2x
Answer:
$15.75
Step-by-step explanation:

y × 100 = 5 × 15
100y = 75
100y ÷ 100 = 75 ÷ 100
y = 0.75
$15 - $0.75
$14.25

y × 100 = 10 × 15
100y = 150
100y ÷ 100 = 150 ÷ 100
y = 1.5
$14.25 + $1.50
$15.75
So firstly, <u>the factor (4n - 5) cannot be further factored, so we will be focusing on 2n² + 5n + 3.</u>
So for this, we will be factoring by grouping. Firstly, what two terms have a product of 6n² and a sum of 5n? That would be 2n and 3n. Replace 5n with 2n + 3n:

Next, factor 2n² + 2n and 3n + 3 separately. Make sure that they have the same quantity on the inside of the parentheses:

Now we can rewrite this expression as<u>
, which is your final answer.</u>
Answer:
-17
Step-by-step explanation:
Ans. - 17
We just substitute the values of a, b and c and find the answer