Answer:
see explanation
Step-by-step explanation:
(b)
The roots of f(x) = 0 are the values of x on the x- axis at the points where the graph crosses, that is
x = - 1 and x = 3
(c)
f(0) is the point on the y- axis where the graph crosses, that is 3, thus
f(0) = 3
Answer:
9216
Step-by-step explanation:
number of small cubes that would fill the prism = volume of prism / volume of small cubes
volume of a prism = length x width x height
3 x 6 x 8 = 144
volume of cube = length³
(1/4)³ = 1/64
144 ÷ 1/64
144 x 64 = 9216
Answer:
4
Step-by-step explanation:
Given
2y + 3 ≤ 11 ( subtract 3 from both sides )
2y ≤ 8 ( divide both sides by 2 )
y ≤ 4
Since y has to be less than or equal to 4
Then the largest value y could be is 4
Perimeter is the sum of all sides of a shape. For a rectangle, it is the sum of the two lengths and two width measurements. We set up the equations as follows:
l = 2w - 3
P = 8l - 12
P = 2w + 2l
8l -12 = l - 3 + 2l
5l = 9
l = 9/5
9/5 = 2w - 3
w = 12/5
Well, parallel lines have the same exact slope, so hmmm what's the slope of the one that runs through <span>(0, −3) and (2, 3)?
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so, we're really looking for a line whose slope is 3, and runs through -1, -1
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![\bf \begin{array}{ccccccccc} &&x_1&&y_1\\ % (a,b) &&(~ -1 &,& -1~) \end{array} \\\\\\ % slope = m slope = m\implies 3 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-1)=3[x-(-1)] \\\\\\ y+1=3(x+1)](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bccccccccc%7D%0A%26%26x_1%26%26y_1%5C%5C%0A%25%20%20%28a%2Cb%29%0A%26%26%28~%20-1%20%26%2C%26%20-1~%29%0A%5Cend%7Barray%7D%0A%5C%5C%5C%5C%5C%5C%0A%25%20slope%20%20%3D%20m%0Aslope%20%3D%20%20m%5Cimplies%203%0A%5C%5C%5C%5C%5C%5C%0A%25%20point-slope%20intercept%0A%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%20y_1%3D%20m%28x-%20x_1%29%7D%5Cimplies%20y-%28-1%29%3D3%5Bx-%28-1%29%5D%0A%5C%5C%5C%5C%5C%5C%0Ay%2B1%3D3%28x%2B1%29)
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