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Andrews [41]
3 years ago
13

If f(x) = -4x + 2 and g(x) = sq root X – 8,what is (fºg)(12)?​

Mathematics
1 answer:
Anettt [7]3 years ago
3 0

Answer:

(fog)(12)=-6

Step-by-step explanation:

Recall that the notation: (fog)(12) is the same as: f(g(12)) which means the value of the function f when you give it as input the value obtained by evaluating g(12).

Therefore, we need to start finding what g(12) is using the definition :

g(x)=\sqrt{x-8} and evaluating it as x = 12.

g(x)=\sqrt{x-8}\\g(12)=\sqrt{12-8}\\g(12)=\sqrt{4}\\g(12)=2

So now we use this answer "2" as input for f(x):

f(x)=-4x+2\\f(2)=-4(2)+2\\f(2)=-8+2\\f(2)=-6

Therefore, (fog)(12)=-6

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WILL GIVE BRAINLIEST
jok3333 [9.3K]

Answer:

J'(-2,5)

K'(-7,5)

M'(-3.5,2)

L'(5.5,2)

Step-by-step explanation:

Please refer to the image attached to this answer.

Trapezoid JKLM is reflected over the x-axis, what do we notice about the ordered pairs of the original figure and the ordered pairs of its reflection over the x-axis is described below.

Point J , K L and M  , when reflected over x axis , there distance from the y axis remains the same in second quadrant. the x coordinate becomes negative however  the y coordinates remains the same.

The coordinates will be as shown in the image attached.

3 0
2 years ago
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Which number is equivalent to 4/5?
galben [10]
The answer is D . (0.8)
3 0
3 years ago
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18 Andy flies from the UK to Japan.
kotykmax [81]

Answer:

<u>Leila pays more</u> than Andy to fly from the UK to Australia.

Step-by-step explanation:

Given:

Andy flies from the UK to Japan.

His plane ticket costs £554.

Andy then flies from Japan to Australia.

His plane ticket costs 70 140 Japanese Yen.

The exchange rate is £1 = 140 Japanese Yen.

Leila flies from the UK to Australia.

Her plane ticket costs 1860 Australian dollars.

The exchange rate is 1 Australian dollar = £0.62.

<u>Now, to find Andy or Leila who pays more to fly from the UK to Australia.</u>

Andy flies from the UK to Japan.

His plane ticket costs = £554.

Andy then flies from Japan to Australia.

His plane ticket costs 70 140 Japanese Yen.

The exchange rate is £1 = 140 Japanese Yen.

So, by using conversion factor we convert Japanese Yen to £.

140 = £1

70140 = 70140\div 140=\£501.

His plane ticket costs = £501.

Now, adding both the cost of tickets:

501+554=\£1055.

Andy total pays fly from the UK to Australia is £1055.

Now, to get the cost of plane ticket of Leila from the UK to Australia.

Her plane ticket costs 1860 Australian dollars.

The exchange rate is 1 Australian dollar = £0.62.

So, by using conversion factor:

1 Australian dollar = £0.62

1860 Australian dollar = 1860\times 0.62=\£1153.2

Her plane ticket costs is £1153.2.

<u><em>As, we see that cost of plane ticket of Andy is £1055 and cost of plane ticket of Leila is £1153.2.</em></u>

<em>Thus, Leila pays more.</em>

Therefore, Leila pays more than Andy to fly from the UK to Australia.

4 0
3 years ago
Find the angle between u = (8.- 3) and v = (-3,- 8) Round to the nearest tenth of a degree.
Nimfa-mama [501]

Answer:

<h2>90°</h2>

Step-by-step explanation:

First you must calculate the module or the magnitude of both vectors

The module of u is:

|u|=\sqrt{(8)^2 + (-3)^2} \\\\|u|=\sqrt{64 + 9}\\\\|u|=8.544

The module of v is:

|v|=\sqrt{(-3)^2 + (-8)^2} \\\\|u|=\sqrt{9 + 64}\\\\|u|=8.544

Now we calculate the scalar product between both vectors

u*v = 8*(-3) + (-3)*(-8)\\\\u*v = -24+ 24=0

Finally we know that the scalar product of two vectors is equal to:

u*v = |u||v|*cos(\theta)

Where \theta is the angle between the vectors u and v. Now we solve the equation for \theta

0 = 8.544*8.544*cos(\theta)\\\\0 = cos(\theta)\\\\\theta= arcos(0)\\\\\theta=90\°

the answer is 90°

Whenever the scalar product of two vectors is equals to zero it means that the angle between them is 90 °

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Solve (x +1 &lt; 4) n ( x - 8 &gt; -7)?​
Anna007 [38]

X<3 or X>1

move constant to the right side and change the sign

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