Answer: f(x)=2-x^2
Step-by-step explanation:
The quadratic equation is
y=ax^2+bx+c
and c is equal to the y-intercept.
in the twi graphs shown both have the same shape but different y-intervepts.
c(the y-intercept) in the first graph is 5 and in the second graph(F) is 2.
Answer:
375 miles
Step-by-step explanation:
Create a proportion where x is the number of miles she can drive on 12.5 gallons of gas:
= 
Cross multiply and solve for x:
3.2x = 1200
x = 375
So, with 12.5 gallons of gas, Sara can drive 375 miles
Answer:
x = 30 and y = -34
Step-by-step explanation:
Given the following functions
(1/4)^(x+y) = 256... 1
log₄(x-y) = 3.... 2
From equation 2;
x-y = 4³
x-y = 64
x = 64 + y ... 3
Substitutw 3 into 1
From 1:
(1/4)^(x+y) = 256
(1/4)^(64+y+y) = 256
(1/4)^(64+2y) = 256
Take log₄ of both sides
64+2y log₄ (1/4) = log₄256
-(64+2y) = 4log₄4
-(64+2y) = 4
64+2y = -4
2y = -4 - 64
2y = -68
y = -34
Since
x = 64 + y .
x = 64 - 34
x = 30
Hence x = 30 and y = -34
In this item, we are not given with the choices for the ordered pair which could be the solution to the given equation. What can be done is to assume a value for one of the variables and solve for the other. To be able to find one that satisfies let x be equal to zero and substitute to the given equation.
-3(0) - 7y = 37
Simplifying,
-0 - 7y = 37
The value of y from the equation is 37/7. Thus, one of the ordered pairs that satisfies the equation is,
(0, 37/7)
Answer:
3
Step-by-step explanation:
Calculate the distance using the distance formula
d = 
with (x₁, y₁ ) = (- 9, 8) and (x₂, y₂ ) = (- 3, - 1)
d = 
= 
= 
= 
= 
= 
= 
×
= 3
