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3 years ago

Can someone explain how to do this and answer 5-8

Mathematics

2 answers:

Shkiper50 [21]3 years ago

6 0

#5 is 96 because it is congruent to the one on top

Murljashka [212]3 years ago

4 0

All angles that are being looked for happen to be the same as that stated if the question looks for reasoning it is because of alternate angles in all apart from 7 which is corresponding

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Determine whether the statement is true or false. Justify your answers.

marusya05 [52]

Answer:

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False

Step-by-step explanation:

<em>Let us explain the reflection about the axes</em>

If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign

Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)

That means reflection about the x-axis change the sign of y

y = f(x) → reflection about x-axis → y = -f(x)

If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign

Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)

That means reflection about the y-axis change the sign of x

y = f(x) → reflection about y-axis → y = f(-x)

<em>Now let us answer our question</em>

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.

It is False because reflection about x-axis change sign of y

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

It is False because reflection about y-axis change sign of x

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the y-axis

7 0

2 years ago

ou buy a gallon of milk that costs $3.50. The milk is discounted for 10% off. You also have to pay tax of 6.25% on the discounte

Alchen [17]

Answer:

3.35.

Step-by-step explanation:

very simple!

3 0

2 years ago

1) Suppose f(x) = x2 and g(x) = |x|. Then the composites (fog)(x) = |x|2 = x2 and (gof)(x) = |x2| = x2 are both differentiable a

Rufina [12.5K]

Answer:

This contradict of the chain rule.

Step-by-step explanation:

The given functions are

$f(x)=x^2$

$g(x)=|x|$

It is given that,

$(f\circ g)(x)=|x|^2=x^2$

$(g\circ f)(x)=|x^2|=x^2$

According to chin rule,

$(f\circ g)(c)=f(g(c))=f'(g(c)g'(c)$

It means, $(f\circ g)(c)$ is differentiable if f(g(c)) and g(c) is differentiable at x=c.

Here g(x) is not differentiable at x=0 but both compositions are differentiable, which is a contradiction of the chain rule

3 0

2 years ago

The radius of a cylinder is doubled and its height is halved. Find the ratios of their surface areas.

Inessa [10]

Answer: 1:1

Step-by-step explanation:

Let r be the radius and h be the height of a cylinder.

Formula: Curved surface area of cylinder = $2\pi rh$

Now, if radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height will be $H=\dfrac{1}{2}$

Now, new surface area = $2\pi RH= 2\pi(2r)\dfrac{h}{2}= 2\pi rh$

Ratio of curved surface areas : $\dfrac{\text{Surface area}}{\text{New surface area}}=\dfrac{2\pi rh}{2\pi rh}=\dfrac{1}{1}$

Hence, the ratios of their surface areas = 1:1 .

5 0

2 years ago

Identify the initial amount a and the growth factor b in the exponential function. f(x) = 620 • 7.8x

jenyasd209 [6]

Answer:

Initial amount (a)= 620

Growth factor (b)= 7.8

Step-by-step explanation:

620 is the initial amount and is multiplied by 7.8 x which is the growth factor.

7 0

2 years ago