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morpeh [17]
2 years ago
15

Please help I think these are the right answers!!!

Mathematics
1 answer:
Papessa [141]2 years ago
5 0

We performed the following operations:

f(x)=\sqrt[3]{x}\mapsto g(x)=2\sqrt[3]{x}=2f(x)

If you multiply the parent function by a constant, you get a vertical stretch if the constant is greater than 1, a vertical compression if the constant is between 0 and 1. In this case the constant is 2, so we have a vertical stretch.

g(x)=2\sqrt[3]{x}\mapsto h(x)=-2\sqrt[3]{x}=-g(x)

If you change the sign of a function, you reflect its graph across the x axis.

h(x)=-2\sqrt[3]{x}\mapsto m(x)=-2\sqrt[3]{x}-1=h(x)-1

If you add a constant to a function, you translate its graph vertically. If the constant is positive, you translate upwards, otherwise you translate downwards. In this case, the constant is -1, so you translate 1 unit down.

You might be interested in
X^2 - y^2 = 100
luda_lava [24]

Answer:

20

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

x+y=5

Subtract y from both sides:

x=5-y

Now, substitute "5-y" for "x" in the first equation:

(5-y)^2-y^2=100

Note that:

(a-b)^2=a^2-2ab+b^2

25-10y+y^2-y^2=100

Cancel out like terms:

25-10y=100

Subtract 25 from both sides:

-10y=75

Divide both sides by -10

y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}

Now, substitute this value back into either of the equations to solve for x.

x+y=5\\x-\frac{15}{2}=5\\

Add 15/2 to both sides:

x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}

Now, find the difference:

x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20

8 0
2 years ago
1. f (x) = 5x + 10. If x = 10, then what is the value of f(x)?
UkoKoshka [18]

Answer:

B: 60

Step-by-step explanation:

f(x)= 5x+10, if x=10

f(10)=5(10)+10

5(10)+10=60

f(10)=60

3 0
3 years ago
I don’t understand this. The number line question the first one.
Mama L [17]

Answer:

-2 + 5 = 3

Step-by-step explanation:

The arrow represents an addition, you start with -2 and add 5, so you end up at +3.

8 0
3 years ago
Which value of x is a solution of the inequality 25x - 100 < 250?
Leona [35]

Answer:

inequality form: x<14

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

5 0
2 years ago
P( not the Ace of clubs?​
galben [10]
Where is the question? Are you playing solitaire
7 0
3 years ago
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