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Natali [406]
3 years ago
8

At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x axis?

Mathematics
2 answers:
zaharov [31]3 years ago
6 0
The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.
(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
To find where it will touch the axis set the factor equal to zero and solve.
(x + 2) = 0
subtract 2 from both sides
x = -2
Artyom0805 [142]3 years ago
6 0

Answer:

It’s -2

Step-by-step explanation:

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I need help wiith all❤️It’s urgent please
faltersainse [42]

Answer:

1. D

2. D

3. B

Step-by-step explanation:

1. The y-axis of the graph is the volume of gas in the tank and the x-axis is the distance traveled. So the y-intercept represents how much gas is in the tank before it has been driven anywhere. D

2. Just by inspecting the graph, we can see that the x-intercept is 240. So answers a and c are denitely incorrect. Also, since we know the graph is comparing the distance from the house to time, we can observe that the x-intercept is when the cyclist is at home or 0 miles from their house. So the x-intercept must represent the duration of time it took the cyclist to reach home. D

3. Ok so we know the equation of the line is 3x-8y-12=0, and we're trying to find the x and y intercepts. So we can plug 0 in for x to find the y-intercept. And plug 0 in for y to find the x-intercept.

x-intercept: y=0

3x-8(0)-12=0

3x-12=0

3x=12

x=4

=> (4,0)

y-intercept: x=0

3(0)-8y-12=0

-8y-12=0

-8y=12

y=-3/2

=> (0,-1.5)

So the answer is B

4. We can see that one prize is worth $6, so in theory, if the relation was linear we should be able to say that the cost of the number of prizes you buy is 6 times the number of prizes bought. Since we can see that that is not true, we can determine that the data is non-linear. We can also tell that the data is discrete because you can't buy a partial prize. So the answer is C

I'm sorry I don't have time to finish the rest of the questions!! I hope my other answers are helpful though!

5 0
4 years ago
What is the Measure of <1? A.53 b.137 c.47 d.43
AnnyKZ [126]
The answer is b .........
7 0
3 years ago
What is 90 is exponential form?<br> 2^__ * 3^__ * 5^__
Sloan [31]
90/2=45
45/3=15
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3 0
3 years ago
HELP PLEASE COME FAST
Triss [41]
1st one: since we  are dealing with the same unit, months and aid cannot mix so this is wrong

2nd one: doesn't include the 2.59 so this is wrong

3rd one: includes both 70% and 2.59 so this is correct

4th one: this doesn't include a greater than sign > so this is wrong


the answer is the 3rd one
5 0
3 years ago
If b/a=2/5, what is the value of 2 (a/b)
Nina [5.8K]

\dfrac{b}{a}=\dfrac{2}{5}\to\dfrac{a}{b}=\dfrac{5}{2}\ \ \ |\cdot2\\\\2\left(\dfrac{a}{b}\right)=2\cdot\dfrac{5}{2}\\\\2\left(\dfrac{a}{b}\right)=5

Answer: 2(a/b) = 5

3 0
3 years ago
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