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kari74 [83]
3 years ago
7

Given: g(x) = 3x² + 2 and h(x) = 2x + 2 Find: g(h(x))

Mathematics
1 answer:
kompoz [17]3 years ago
7 0

Step-by-step explanation:

g(x) = 3x² + 2

h(x) = 2x + 2

g(h(x)) = g([2x + 2]) = 3[2x+2]² + 2

= 3[4x² + 8x + 4] + 2

= 12x² + 24x + 12 + 2

= 12x²+ 24x + 14

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The time to complete a standardized exam in the BYU-Idaho Testing Center is approximately normal with a mean of 70 minutes and a
leva [86]

Answer:

Step-by-step explanation:

Given that X the time to complete a standardized exam  in the BYU-Idaho Testing Center is approximately normal with a mean of 70 minutes and a standard deviation of 10 minutes.

We have 68 rule as 2/3 of total would lie within 1 std deviation, and 95 rule as nearly 95% lie within 2 std deviations from the mean.

We have std deviation = 10

Hence 2 std deviations from the mean

= Mean ±2 std deviations

=70±20

= (50,90)

Below 50, 0.25 or 2.5% would complete the exam.

3 0
3 years ago
You are out bottle caps, and decide to use Popsicle sticks instead. You measure them, and they are 15.2 cm tall. How many Popsic
satela [25.4K]
It depends on how many Popsicle sticks you are going to use.So, for example, say that you are using 5 Popsicle sticks for the model. What you do is 15.2 x 5, 15.2 being the height of the sticks and 5 for the number of sticks you are using. The answer will be 76 cm tall.           21                                                                                                                     15.2                                                                                                               x    5                                                                                                                ---------                                                                                                             76.0
3 0
3 years ago
Which number is three hundred thousand times larger than 1.6x100
Georgia [21]

The answer is B) 4.8x10 to the 7th power

4 0
3 years ago
A box of uncooked spaghetti cost $0.1369 per ounce. how much is this cost to the nearest cent?
AlladinOne [14]
The cost to the nearest sent is 0.14

This is because you can round the .136 up to the nearest hundredths place.
3 0
3 years ago
A polygon has n sides. Two of its sides are right angle while the remaining each side is 144.find n​
deff fn [24]
Use the formula that states that the sum of the angles of an n-sided polygon is given by
S=(n−2)180
0
........(1)

Since we are given that the two angles are right angles and each of the remaining angles is 144
0
, therefore, the sum is:

S=90
0
+90
0
+(n−2)144
0
.........(2)

Therefore setting (2) equal to (1) we get

(n−2)180
0
=90
0
+90
0
+(n−2)144
0

⇒(n−2)180
0
−(n−2)144
0
=180
0

⇒(n−2)(180
0
−144
0
)=180
0

⇒(n−2)(36
0
)=180
0

⇒n−2=
36
180
​

⇒n−2=5
⇒n=5+2=7

Hence, the polygon has 7 sides.
4 0
3 years ago
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