Answer:
b. 
Step-by-step explanation:
The scale factor is the number by which one must multiply all sides in a triangle such that its sides are the same as another triangle. This only works in similar triangles (triangles where all of the angles between them are congruent or have the same measures).
Answer:
x₁ > x₂
Step-by-step explanation:
Both actions imply a parable trajectories, since both are projectile shot cases.
Let´s call x₁ maximum distance in the first case
The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.
In the second case, the parable curve is modeled by:
y = x₂*( 0.08 - 0.002x₂) or y = 0.08*x₂ - 0.002*x₂²
A second degree equation, solving for x₂ and dismissing the value x₂ = 0
we get:
y = 0 ⇒ x₂*( 0.08 - 0.002x₂) = 0 x₂ = 0
And 0,08 - 0.002*x₂ = 0
- 0.002*x₂ = - 0.08
x₂ = 0.08/0.002
x₂ = 40 f
Then x₁ > x₂
Answer:
See below. <u><em>I assume that (x) = 8x2 - 7x + 3 is really (x) = 8x^2 - 7x + 3</em></u>
Step-by-step explanation:
Substitute the value of x given in f(x) into the equation f(x) = 8x^2 - 7x + 3
For example, f(0) would be f(0) = 8(0)^2 - 7(0) + 3. f(0) = 3
f(-2) would be f(-2) = 8(-2)^2 - 7(-2) + 3.
= 8*4 + 14 +3
= 32 + 17 therefore f(-2) = 49
<u>x</u> <u>f(x)</u>
-2 49
-1 18
0 3
1 4
2 21
<h3>
Answer: 2x(x^2-2)(x+1)</h3>
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Explanation:
First factor out the GCF 2x
2x^4+2x^3-4x^2-4x
2x*x^3+2x*x^2-2x*2x-2x*2
2x(x^3 + x^2 - 2x - 2)
Then let's factor the expression inside the parenthesis using the factor by grouping method
x^3 + x^2 - 2x - 2
(x^3 + x^2) + (- 2x - 2)
x^2(x + 1) - 2(x + 1)
(x^2 - 2)(x+1)
We see that x^3 + x^2 - 2x - 2 factors to (x^2-2)(x+1)
Overall, the original expression fully factors to 2x(x^2-2)(x+1)
length = 2x
width = x^2-2
height = x+1
The order of length, width, and height doesn't matter.
The equation are y = 0.59x + 29.95 for company A and y = 0.79x + 19.95 for company B.
<h3>
Linear equation</h3>
Linear equation is in the form:
y = mx + b
where y,x are variables, m is the rate of change and b is the initial value of y.
Let y represent the total cost of rental for each truck in x hours.
From the table, for company A:
For company B:
The equation are y = 0.59x + 29.95 for company A and y = 0.79x + 19.95 for company B.
Find out more on linear equation at: brainly.com/question/14323743
