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aivan3 [116]
3 years ago
15

The image of a parabolic lens is traced onto a graph. The function f(x) = (x + 8)(x – 4) represents the image. At which points d

oes the image cross the x-axis?
Mathematics
1 answer:
alexandr402 [8]3 years ago
7 0

Answer:

x = -8 and x = 4

Step-by-step explanation:

given

f(x) = (x+8) (x - 4)

recall that at any point on the x-axis, y = 0 [i.e f(x) = 0]

hence to find where the graph crosses the x-axis, we simply substitue f(x) = 0 into the equation and solve for x

f(x) = (x+8) (x - 4)

0 = (x+8) (x - 4)

Hence

either,

(x+8) = 0 ----> x = -8  (first crossing point)

or

(x-4) = 0 ------> x = 4 (second crossing point)

Hence the graph crosses the x-axis at x = -8 and x = 4

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Two mechanics worked on a car. The first mechanic charged $65 per hour, and the second mechanic charged $90 per hour. The mechan
Katena32 [7]

Answer:

First mechanic worked 20 hours and second mechanic worked 5 hours

Step-by-step explanation:

Let the number of hours the first mechanic worked = a

Let the number of hours the second mechanic worked = b

Therefore, we can write 2 equations and then solve them simultaneously:

a+b=25

65a+90b=1750

Rearranging the first equation: a=25-b

and substituting into the second equation to find b:

65(25-b)+90b=1750

1625-65b+90b=1750\\
25b=125\\
b=5

Now sub b=5 into the first equation to find a

a+5=25\\
a=20

Therefore, first mechanic (a) worked 20 hours and second mechanic (b) worked 5 hours

4 0
2 years ago
Using a sample of 60 undergraduates, Dr. Hotchkins discovers a negative correlation between stress and emotional well-being. Whi
svet-max [94.6K]

Answer and explanation:

A negative correlation means a relationship between two variables whereby each variable affects the other such that an increase in one variable means a decrease in the other and vice versa. This is the situation with the correlation graph/scatter plot of Dr. Hotchkins: An increase in stress would cause a decrease in emotional well being and vice versa

An Outlier is a data point on the scatter plot that does not fall into the pattern of the correlation graph. From the above, 4 points are outliers: extremely high points on stress and emotional well being. These points would affect (increase or decrease) the correlation coefficient depending on where they fall in the pattern. In this case there are 4 outliers out of 60 data points and we know that the more outliers there are the more effect they have on the correlation coefficient and vice versa(also depending on where the outlier is on the scatter plot)

6 0
2 years ago
Graphing rational functions
Debora [2.8K]

Answer:

Opinion B

Step-by-step explanation:

hope that will help you

5 0
2 years ago
The fuel tank of a certain airplane can hold up to 400 gallons of fuel. Let W be the total weight of the airplane (in pounds). L
Lady bird [3.3K]
A reasonable function is W = 7F + 5000


Where W is the weight of the plane and F is the number of gallons of fuel.


The domain is the set of possible values for F. That is from 0 (empty tank) to 400 (full tank).


So the domain is F = [0,400], or what is equivalente 0 ≤ F ≤ 400.


The range is the set of values of W.


The minimum value of W is when F = 0 => W = 7(0) + 5000 = 5,000.


The maximum value of W is when F = 400 => W = 7(400) + 5000 = 7,800 


So the range is W = [5,000 ; 7,800], pr 5000 ≤ W ≤ 7,800. 
7 0
3 years ago
WILL GIVE BRAINLIEST!! IF YOU'RE GOOD AT GEOMETRY CAN YOU HELP ME WITH A FEW QUESTIONS PLZZZ
Kitty [74]
The answer is 123????

4 0
3 years ago
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