Answer:
8 marbles
Step-by-step explanation:
Since Carl has 7 times as many marbles as Bill (who is the base unit), Carl's number of marbles is equal to 7 units.
7 units = 56
1 unit =

Bill has 8 marbles.
Answer:
The answer depends on x.value
Step-by-step explanation:
I. It's linear equation
y = mx + b
when y is output, x is input, m is slope and b is addition
So if x = -1
y = -4/3(-1) - 2
= 4/3 - 2
= (4-6)/3
y = -2/3
It will be something like this (-1, -2/3) when -1 is x.value, -2/3 is y.value
You can given x.value be anything like 0, 1, 2, 3 the graph will be like this
(Picture is only example)
<span>∫(sinx cosx)^2dx = ∫(1/2sin 2x)^2 dx = 1/4∫sin^2 2x dx = 1/4∫1/2(1 - cos 4x)dx = 1/8∫(1 - cos 4x) dx = 1/8[x - sin 4x / 4] + c = 1/32(4x - sin 4x) + c
</span>
Answer:
The image in the attached figure
Step-by-step explanation:
we know that
The dimensions of the image of the given triangle are equal to the original dimensions of the pre-image multiplied by the scale factor
In this problem the scale factor is 1/4
The height of the pre-image is 4 units
The base of the pre-image is 8 units
Find out the dimensions of the image
The height of the image is 
The base of the image is 
The image in the attached figure
2 consecutive odd integers : x and x + 2
x(x + 2) = 27 + 6(x + x + 2)
x^2 + 2x = 27 + 6(2x + 2)
x^2 + 2x = 27 + 12x + 12
x^2 + 2x - 12x - 12 - 27 = 0
x^2 -10x - 39 = 0
(x + 3)(x - 13) = 0
x + 3 = 0
x = -3 (extraneous solution)
x - 13 = 0
x = 13
x + 2 = 15
so ur 2 integers are 13 and 15, with 15 being the largest