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4 years ago

14

Hey can you please help me posted picture of question

1 answer:

Rudik [331]4 years ago

3 0

Following changes are made in graph of G(x) to obtain F(x)

1) Vertical stretch by a factor of 2
So, G(x) will be changed to 2G(x)

2) Shift towards Right by 2 units
So, 2G(x) will be changed to 2G(x - 2)

3) Upward shift by 2 units.
So, 2G(x - 2) will be changed to 2G(x - 2) + 2

Thus,

F(x) = 2G(x - 2) + 2
F(x) = 2(x - 2)² + 2

Therefore, option C is the correct answer

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If 7x is an odd integer, represent the next odd integer as an algebraic expression in x.

blagie [28]

Given :

7x is an odd integer.

To Find :

The next odd integer as an algebraic expression in x.

Solution :

All positive integers are :

1 , 2 , 3 , 4 , 5 , ......

From the above series we noticed that every other odd number is 2 more than the previous one.

So , 7x is an odd number.

Therefore, next odd number is 7x + 2.

Hence, this is the required solution.

3 0

3 years ago

Is a negative internet greater than its opposite

Andrej [43]

Answer:

No, a negative "integer" can not be greater than a positive one (The opposite)

Step-by-step explanation:

Ex: <u>-2 0 2</u> two is over 0 so it is positive and greater.

8 0

3 years ago

If your grocery bill total was $205.67 and was reduced to $145.90 after coupons, what was the percent decrease? Round to the nea

anzhelika [568]

Answer:

Step-by-step explanation:

start by subtracting the original value from the reduced value.

205.67-145.90=59.77

now compare the change of rate

59.77=r(205.67)

59.77/205.67=r

r=29%

7 0

3 years ago

Find the arc length of AB. Round your answer to the nearest hundredth.

Fantom [35]

The arc length of AB is 8 m (app.)

Explanation:

Given that the radius of the circle is 8 m.

The central angle is 60°

We need to determine the arc length of AB

The arc length of AB can be determined using the formula,

$arc \ length=\frac{central \ angle}{360^{\circ}} \times circumference$

Substituting central angle = 60° and circumference = 2πr in the above formula, we get,

$arc \ length=\frac{60^{\circ}}{360^{\circ}} \times 2 \pi(8)$

Simplifying the terms, we get,

$arc \ length=\frac{8 \pi }{3}$

Dividing, we get,

$arc \ length=8.37758041$

$arc \ length=8(app.)$

Hence, the arc length is approximately equal to 8.

Therefore, the arc length of AB is 8 m

5 0

3 years ago

What is the rectangular form of the polar equation?<br><br><br> θ=−7π/6

kobusy [5.1K]

Answer:

The rectangular form of the equation is:

y = 0.5774x

Step-by-step explanation:

Given Polar Equation

$\theta=\frac{7\pi}{6}$

Convert it into rectangular form.

If (r,θ) are the polar coordinates, then the corresponding rectangular coordinates are (x,y), such that:

$x=rcos\theta, y=rsin\theta$

where tanθ can be taken as:

$tan\theta=\frac{y}{x}$

Here

$\theta=\frac{7\pi}{6}$

So

$tan\frac{7\pi}{6}=\frac{y}{x}$

$\frac{\sqrt{3} }{3}=\frac{y}{x}\\\\y=0.5774x$

6 0

3 years ago