Answer:
f(x) and g(x) have the same x-intercepts (is <em>not true</em>)
Step-by-step explanation:
g(x) is a reflection across the y-axis and a horizontal compression of f(x). In general those transformations will move the x-intercepts. (The y-intercept and the number of x-intercepts will remain unchanged.)
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<em>Comment on the question/answer</em>
f(x) = x^3 is a 3rd degree polynomial. When transformed to g(x) = -8x^2, its only x-intercept (x=0) remains the same. The answer above will not apply in any instance where the only x-intercept is on the line of reflection. (The question is flawed in that it does not make any exception for such functions.)
Answer:
.0668
Step-by-step explanation:
Formula:
z=(x-average)/standard deviation
(2.5-2.8)/.2= -1.5
Go to a ztable and find the value for 1.5 (.9332) and take the compliment of this (we can do this because the normal distribution is symmetrical)
1-.9332= .0668
Answer:
When X=5, Y=60
Step-by-step explanation:
24 | 2
36 | 3
48 | 4
60 | 5
Answer:
First blank on top of 4 is x.
Second blank under 5x is 8.
Step-by-step explanation:
We want to find the common denominator so we can combine the fractions on the left.
The common denominator we will go for is 8 since 4(2) is 8 and 8(1)=8.
So I'm going to multiply second fraction by 2/2 giving me:
Now that the denominators are the same we can write the sum as one fraction:
So 3x+2?=5x if ?=x since 3+2=5.
Now *=8 so both sides can have the same denominator.
Test:
Multiply second fraction by 2/2:
Answer:
B
Step-by-step explanation:
40+88+15=128+15=143
There are three rectangles that compose this shape. The first one has side lengths of 5 & 8 (l times w=a 5 times 8=40, area of the rectangle is 40). The second one has side lengths of 8&11 (8 times 11=88, area is 88). Final rectangles has side lengths of 16-(8+5) and 5 (16-13=3, 3 times 5=15, Area=15). All three of those rectangles added up is 143 as an area of the figure.