Answer:
-20x+128
Step-by-step explanation:
–8(x – 4) - (12x – 8)
distribute: -8x+32-12x+96
combine like terms
-20x+128
Answer:
$4.80
Step-by-step explanation:
Make a proportion
$12 for 2.5 pounds, and $x for 1 pound
12/2.5=x/1
x/1 is equivalent to x
12/2.5=x
Divide
x=4.8
So, one pound of peanuts costs $4.80
Answer:
- 6
Step-by-step explanation:
Given
y = 3(x - 1)(x + 2) ← expand factors using FOIL
= 3(x² + x - 2) ← distribute by 3
= 3x² + 3x - 6
To find the y- intercept let x = 0, thus
y = 3(0)² + 3(0) - 6 = 0 + 0 - 6 = - 6
Thus y- intercept = - 6 ⇒ (0, - 6 )
Answer:
John’s age is 8 years
Step-by-step explanation:
Let
x -----> John’s father's age
y -----> John’s age
z -----> John’s sister's age
we know that
-----> equation A
-----> equation B
-----> equation C
Substitute equation A and equation B in equation C and solve for y
Multiply by 2 both sides to remove the fraction
<em>Find the value of x</em>
<em>Find the value of z</em>
therefore
John’s father's age is 40 years
John’s age is 8 years
John’s sister's age is 4 years
Answer:
b
Step-by-step explanation:
The inscribed angle 36°m is half the measure of its intercepted arc, that is
b = 2 × 36 = 72
c = 360 - (108 + 72) = 360 - 180 = 180 ( total sum of arcs in a circle )
The angle between a tangent and the radius of a circle at the point of contact is 90° , then
d = 90
Thus b = 72, c = 180, d = 90 → b
