Answer:
y = 2x - 3
Yes, your answer is correct.
Step-by-step explanation:
First, find the slope of the two points by using the slope formula:
y2 - y1
m = -------------
x2 - x1
13 - 5
m = -------------
8 - 4
8
m = ------- = 2
4
To find the y-intercept, plug in values into the slope-intercept formula:
y = mx + b
Where m = slope and b= y-intercept. Use any one of the points. I'll be using (4,5):
5 = (2) (4) + b
5 = 8 + b
-3 = b
b = -3
So, putting everything into the slope intercept formula:
y = 2x - 3
The correct answer is 5.75 (5 3/4) pounds of fruit
1 1/2 +3/4 +1/2 + 1 3/4+ 1 1/4= 5 3/4
Answer:
a = - 4
Step-by-step explanation:
Given x = - 2 is a root then f(- 2) = 0
f(x) = x³ + x² + ax - 4, thus
f(- 2) = (- 2)³ + (- 2)² - 2a - 4 = 0, that is
f(- 2) = - 8 + 4 - 2a - 4 = 0, thus
- 8 - 2a = 0 ( add 8 to both sides )
- 2a = 8 ( divide both sides by - 2 )
a = - 4
Answer:
(3, -1)
Step-by-step explanation:
7]
6/(x-1)-5x/4
subtracting the above we put the fraction under the same denominator:
6/(x-1)-5x/4
multiplying the denominators we get:
4(x-1)
thus subtracting we get:
6/(x-1)-5x/4
=(4*6-5x(x-1))/[4(x-1)]
=[24-5x^2+5x]/(4x-4)
Answer:
(-5x^2+5x+24)/(4x-4)
9]
3/(x+7)+4/(x-8)
the common denominator is:
(x+7)*(x-8)=(x+7)(x-8)
thus adding the fractions we put them under the same denominator as follows:
[3(x-8)+4(x+7)]/[(x+7)(x-8)]
=[3x-24+4x+28]/[(x+7)(x-8)]
=(7x+4)/[(x+7)(x-8)]
