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2 years ago

If f(x) = 2x^2 - 5 and g(x) = 3x3, find (f-g)(x).

1 answer:

4 0

$\text{Given that,}~ f(x) = 2x^2 -5 ~ \text{and}~ g(x) = 3x^3\\\\\text{Now,}\\\\ ~~(f-g)(x)\\\\=f(x) - g(x)\\\\=2x^2 -5 - 3x^3\\\\=-3x^3 +2x^2 -5$

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If the cube root parent function is horizontally stretched by a factor of 4, then translated 5 units right and 3 units up, write

Gala2k [10]

Answer:

The cube root parent function:

f(x) = $\sqrt[3]{x}$

Horizontally stretched by a factor of 4:

g(x) → f(1/4x) = $\sqrt[3]{1/4x}$

Translated 5 units right:

h(x) → g(x - 5) = $\sqrt[3]{1/4x - 5}$

Translated 3 units up:

k(x) → h(x) + 3 = $\sqrt[3]{1/4x - 5} + 3$

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3 years ago

Use technology to find points and graph the line -4y=-x+20 plotting on a graph

valina [46]

Step-by-step explanation:

First we need to isolate the y, by dividing -4 on both sides. This will give you y = 1/4x - 5.

Now you can properly graph the equation:

Since -5 is the y-intercept (the point in which the line intercepts the y-axis), we will place our first point at (0,-5) on the graph.

In order to find the next point, we will use the slope of the line and do rise/run. So we will go upwards 1 unit and to the right 4 units.

(Image of graph will be attached above⤴⤴⤴)

Hope this helps you :)

5 0

3 years ago

Find an equivalent function for the following: f(x) = 3(2)4x

n200080 [17]

Hi there!

To find an equivalent function for this function, we can just simplify it.

f(x) = (6)4x

f(x) = 24x
is an equivalent function.

Hope this helps!

8 0

3 years ago

Your assigned 32 math exercises for homework you complete 87.5of these before dinner how many do you hav to do after dinner.

krek1111 [17]

87.5% of 32 questions = 28 questions.

32 - 28 = 4

so there are 4 questions to be done after dinner.

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3 years ago

What is the volume of the water in the container when it is 2/3-full? Measuring 23 cm by 10 cm by 6 cm

topjm [15]

Answer:

2/3 full = 23 × 10 × 6 × $\frac{2}{3}$

= 920 cm^3

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3 years ago