Answer:
f(4)=14
Step-by-step explanation:
a) u do it by substituting 4 in places where there r 'x'
since this one say f(4) it only can go to the function which says f(x)
f(x)=4x-2
f(4)=4(4)-2, so according to BODMAS rule multiplication comes first rather than subtraction
so, f(4)=16-2=14
f(4)=14
do the others based on this, hope i explained well, if i did, please gimme brainliest :)
The scale factor is 4 and for the perimeter just use the distance formula
Answer: A. A=(1000-2w)*w B. 250 feet
C. 125 000 square feet
Step-by-step explanation:
The area of rectangular is A=l*w (1)
From another hand the length of the fence is 2*w+l=1000 (2)
L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.
Express l from (2):
l=1000-2w
Substitude l in (1) by 1000-2w
A=(1000-2w)*w (3) ( Part A. is done !)
Part B.
To find the width w (Wmax) that corresponds to max of area A we have to dind the roots of equation (1000-2w)w=0 ( we get it from (3))
w1=0 1000-2*w2=0
w2=500
Wmax= (w1+w2)/2=(0+500)/2=250 feet
The width that maximize area A is Wmax=250 feet
Part C. Using (3) and the value of Wmax=250 we can write the following:
A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets
1 gallon cost $15
1 quarts cost $4
1 quarts = 1/4 gallon
15x for number of gallon cans
2 cans at $4 each = $8
15x + 8 = 53
Subtract 8 from both sides:
15x = 53-8
15x = 45
Divide both sides by 15:
x = 45/15
x = 3
She bought 3 gallon cans of paint
Plus she bought 2 quart cans, which is equal to a half gallon.
She bought a total of 3.5 gallons of paint.
Answer: CD=18
Explanation: Use the side-splitter theorem and solve.
1) (3/x)=(4.5/(x+6)), cross multiply and solve for x
2) 6x+36=9x
3) x=12
4) Solve for CD
5) (12)+6=18