Answer:
First, we have rounded numbers A and B, and we know that:
A + B = 11000
A - B = 3000
Now we can solve this system of equations as:
Isolating one variable in one of the equations, i will choose A in the second equation:
A = 3000 + B.
Now we can replace this into the other equation:
3000 + B + B = 11000
2*B = 11000 - 3000 = 8000
B = 8000/2 = 4000
and:
A - 4000 = 3000
A = 3000 + 4000 = 7000.
But remember that our original numbers are not exactly whole numbers, they are rounded up, so we could write them as:
A = 6999.8 (that would be rounded up to 7000)
B = 3999.7 (that would be rounded up to 4000)
The sum is:
A + B = 10999.5 (notice that this would be rounded up to 11000)
A - B = 3000.1 (this would be rounded down to 3000)
Answer:
(4, 5)
Step-by-step explanation:
y = 2x - 3
y = 7 - 0.5x
y is already isolated on both equations, set them equal to each other:
2x - 3 = 7 - 0.5x
add 3 to both sides:
2x = 10 - 0.5x
add 0.5x to both sides:
2.5x = 10
divide by 2.5:
x = 4
plug in 4 for x on either equation and solve for y:
y = 2(4) - 3
y = 8 - 3
y = 5
(4, 5)
The dimensions of the house should be 7 m by 13 m.
If the house is to be centered, we will take the same amount from the width as we do from the length of the lot for the dimensions. This gives us (10-x) and (16-x) as the dimensions.
The area of a rectangle is found by multiplying the length and width:
(10-x)(16-x) = 91
Multiplying the binomials we have:
10*16 - x*10 - x*16 -x*(-x) = 91
160 - 10x - 16x --x² = 91
160-10x-16x+x² =91
Combine like terms:
160-26x+x²=91
Rewrite this in standard form:
x²-26x+160=91
Subtract 91 from both sides:
x²-26x+160-91 = 91-91
x²-26x+69 = 0
Factoring this, we look for factors of 69 that sum to -26. -23*-3 = 69 and -23+-3 = -26, so:
(x-23)(x-3) = 0
Using the zero product property we know that either x-23=0 or x-3=0, so x=23 or x=3.
x was the amount we take off of the width and length of the lot; if we took 23m off of it, 10-23 gives us a negative amount, which is not realistic. This means both the width and length are subtracted by 3.
10-3 = 7 and 16-3 = 13.
These are the dimensions of the house.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost function of banner advertisement:
C(n) = 0.30n + 5.00
n = average number of hits per hour
5 = flat rate
From the function, C(n), the cost per hit is the slope value of the function ; which is 0.30
1.) If the cost of pop-up advert will double the cost per hit, the cost function for pop-up advert will be :
D(n) = 2(0.30n) + 5
D(n) = 0.60n + 5.00
B.) This change in cost per hit has resulted in change in slope which is defined as :
[Rise / run = vertical change / horizontal change].
Hence, both vertical and horizontal change has occurred.
