The equation is f(x) = 4x^2 - 4.
You can find this by using an equation with parenthesis that equal each of the zeros.
f(x) = (x - 1)(x + 1)
Now, this equation will not give us the vertex that we're looking for. So, we must add a constant being multiplied to the front of it.
f(x) = c(x - 1)(x + 1)
Now we can find the constant by putting our vertex into the equation and solving.
f(x) = c(x - 1)(x + 1)
-4 = c(0 - 1)(0 + 1)
-4 = c(-1)(1)
-4 = -1c
c = 4
Now we put the c into the original equation and solve for standard form.
f(x) = 4(x - 1)(x + 1)
f(x) = 4(x^2 - 1)
f(x) = 4x^2 - 4
Yesterday at school my my geometry teacher game this packet ao boring
1.5 quarts of 20% fruit juice and 4.5 quarts of 100% fruit juice.
Step-by-step explanation:
Let x be the number of quarts of 100% fruit juice
Let y be the number of quarts of 20% fruit juice
The equation for amount of quarts is ;
x+y=6
x=6-y-------------------equation 1
The equation for the amount of quarts of fruit juice to get 80% fruit juice will be;
x(100%)+y(20%)=80%------however you need to make 6 quarts so divide first portion of equation by 6
{x(100%)+y(20%) }/6=80%
Multiply both parts of the equations by 6
x(100%)+y(20%)=480% --------------equation 2
Use equation 1 in 2
(6-y)(100%)+y(20%)=480%
600-100y+20y=480
600-80y=480
600-480=80y
120=80y
120/80 =y
1.5=y
Use the value of y in equation 1
x=6-y , x= 6-1.5=4.5
So you have,
1.5 quarts of 20% fruit juice and 4.5 quarts of 100% fruit juice.
Learn More
Mixtures equations;brainly.com/question/11898822
Keywords : quarts,party,bottles,punch
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Answer:
x = 94°
Step-by-step explanation:
The measure of the chord- chord angle CED is half the sum of the arcs intercepted by the angle and its vertical angle, that is
( arc CD + arc AB ) = 82°
Multiply both sides by 2 to clear the fraction
CD + AB = 164°, that is
x + 70 = 164 ( subtract 70 from both sides )_
x = 94°
Answer:
Stuck Watch a video or use a hint
Step-by-step explanation:
