All categories

3 years ago

Does anyone know how to find the g(x) points ? Someone help me please ?

Mathematics

1 answer:

Goshia [24]3 years ago

5 0

Find the g(x) points by plugging in the values of x into 2(x + 3)^2 - 1

so for x - -3 g(x) = 3(-3+3)^2 - 1 = 3(0)^2 - 1 = 0 - 1 = -1

calculate the other values of x -2 , -1 , 0 and 1 in the same way

You might be interested in

Suppose the polynomial function below represents the power generated by a wind turbine, where x represents the wind speed in met

Elis [28]

Answer:

f(10) or the power generated by the wind turbine at the wind speed of 10 m/s is 190.26 kW

Step-by-step explanation:

The given polynomial function is,

$f(x) = 0.08x^3 + x^2 + x + 0.26$

where,

x represents the wind speed in meters per second,

y represents the kilowatts generated.

Putting x=10, we can get the value of f(10).

So,

$=f(10)$

$= 0.08(10)^3 + (10)^2 + (10) + 0.26$

$= 0.08(1000) + (100) + (10) + 0.26$

$= 80 + 100 + 10 + 0.26$

$=190.26$

Therefore,at x=10 or when the wind speed is 10 m/s, then y or the power generated by the wind turbine will be 190.26 kW

6 0

3 years ago

Read 2 more answers

Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1]

Alekssandra [29.7K]

$\green{\large\underline{\sf{Solution-}}}$

Given expression is 

$\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} }$

can be rewritten as

$\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\$

And

$\purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\$

So, using this identity, we

$\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} }$

can be further rewritten as

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)}$

$\rm \: = \: \dfrac{4}{25 - 1}$

$\rm \: = \: \dfrac{4}{24}$

$\rm \: = \: \dfrac{1}{6}$

Hence, 

$\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}$

4 0

2 years ago

Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?

True [87]

Answer:

x>3

Step-by-step explanation:

5 0

3 years ago

Compare: 10 quarts and 2.5 gallons *

Charra [1.4K]

10 quarts = 2.5 gallons

8 0

3 years ago

ABCD is a parallelogram. If m

labwork [276]

Um please continue the question, thanks!

7 0

3 years ago