The answer is x equals 24
you set up a proportion new over old
so for red cars 40 over 5
since we don’t know the new for blue cars we’ll use x
so x over 3
we then make them equal to each other
40 x
—- = —-
5 3
cross multiply, then we get
120=5x
isolate the x by dividing 5 from both sides to get 24
The value of <u>x</u> that the given point of the function is 11.
<h3>Linear Function</h3>
An equation can be represented by a linear function. The standard form for the linear equation is: y= ax+b , for example, y=5x+3. Where:
a= the slope
b= the constant term that represents the y-intercept.
For the previous example: a=5 and b=3.
The question gives a point (x , -3) of a function f(x)= -x+8. Therefore, you can write
-3=-x+8
x=8+3
x=11
Thus, the x-coordinate is equal to 11.
Read more about the linear equations here:
brainly.com/question/2030026
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Answer:
1. 208 in^2
Step-by-step explanation:
1. We can break the shape up into a rectangle in the middle and 2 triangles on either side of said rectangle.
The dimensions of the rectangle are 8 in by 20 in, and we only know one leg of the triangle as well as the hypotenuse.
If we know one leg and the hypotenuse we can use the pythagorean theormed to sovle for the other side and get 6 in.
So we have
(8 * 20) + 2((1/2)(6)(8))
160 + 48
208 in^2
Answer:
1. y=3x-1
Step-by-step explanation:
y=mx+b
y=output
m=slope
x=input
b=y-intercept
1) Given: ds / dt = 3t^2 / 2s
2) Separate variables: 2s ds = 3t^2 dt
3) Integrate both sides:
∫ 2s ds = ∫ 3t^2 dt
s^2 + constant = t^3 + constant
=> s^2 = t^3 + constant
=> s = √ (t^3 + constant)
Answer: option B.
