Answer:
All real numbers are solutions.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(3x+2)=16x+7−4x+1
(4)(3x)+(4)(2)=16x+7+−4x+1(Distribute)
12x+8=16x+7+−4x+1
12x+8=(16x+−4x)+(7+1)(Combine Like Terms)
12x+8=12x+8
12x+8=12x+8
Step 2: Subtract 12x from both sides.
12x+8−12x=12x+8−12x
8=8
Step 3: Subtract 8 from both sides.
8−8=8−8
0=0
Answer:
The price of pretzels in 1975 = $1.80
Step-by-step explanation:
To answer this question we are assuming the steady rate means linear.Let x be the year and y be the price.
We need to find the slope
m = (y2-y1)/(x2-x1)
= (4.80-4.05)/(2015-2005)
=.75/10
= .075
The slope is .075
We can use the point slope form of the equation
y-y1 = m(x-x1)
y-4.80 = .075(x-2015)
Distribute
y - 4.80 = .075x -151.125
Add 4.80 to each side
y - 4.80+4.80 = .075x -151.125+4.80
y = .075 x - 146.325
We want to find out how much pretzels were in 1975. Put in x=1975
y = .075(1975) -146.325
y = 148.125-146.325
y=1.80
Answer:
Yea its correct! good job yea there are not any mistakes
Step-by-step explanation:
Answer:
It is f(x) = -x^2 + 2x + 4.
Step-by-step explanation:
As it has a maximum the coefficents of x^2 will be negative.
f(x) = -x^2 + 2x + 4
The y-intercept occurs when x = 0 so
y-intercept = 0 + 0 + 4 = 4.
-
(-5/6)+(-5/6) have the same denominator (number at bottom of fraction), so all you have to do is add the numerator(top number). So -5 +-5 =-10 . Now you have -10/6, which simplifies to -5/3.
Hope this helps :)