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muminat
2 years ago
15

Solve the system. Tell how many solutions the system has. -2x + 4y = 9 x-27 = -7

Mathematics
1 answer:
belka [17]2 years ago
7 0
X-27=-7
x=20

-2x+4y=9
-2(20)+4y=9
-40+4y=9
4y=49
y=49/4
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A 4 foot tree was planted in 2012 outside a high school. The tree grew continuously by 22% each year from that point. Find out w
Brut [27]

Answer:

The height of the tree in 2020 was of 19.63 feet.

Step-by-step explanation:

Exponential equation for growth:

The exponential equation for the growth of an amount has the following format:

H(t) = H(0)(1+r)^t

In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.

A 4 foot tree was planted in 2012 outside a high school.

This means that H(0) = 4

The tree grew continuously by 22% each year from that point.

This means that r = 0.22

Find out what the height of the tree was in 2020.

2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).

H(t) = H(0)(1+r)^t

H(t) = 4(1+0.22)^t

H(4) = 4(1.22)^t

H(4) = 4(1.22)^8 = 19.63

The height of the tree in 2020 was of 19.63 feet.

6 0
3 years ago
What function is represented below?
Paladinen [302]
By graphing the given options as shown in attached figure
<span>f(x) = (1/4)^x+2   ⇒⇒⇒⇒ The black graph
f(x) = (1/4)^x +2  </span><span>⇒⇒⇒⇒ The red graph
</span> f(x) = (1/4)^x-2    <span><span>⇒⇒⇒⇒ The blue graph
</span></span><span><span /> f(x) = (1/4)^x -2   ⇒⇒⇒⇒ The green graph
</span>

The correct answer will be the blue graph

f(x) =   (\frac{1}{4})^{(x-2)}



4 0
3 years ago
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Aleksandr [31]

Answer:  56 mph

Step-by-step explanation:

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240 + 96 = 360 total miles

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6 0
3 years ago
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Blizzard [7]

Answer:

378$

Step-by-step explanation:

3 0
2 years ago
The measure of an angle is 78°. What is the measure of a complementary angle?
ki77a [65]
First you need to know the definition of a complementary angle. That means that two angles add up to 90 degrees, or a right angle.

To find an angle complementary to a 78 degree angle, you need to subtract 78 from 90. 

90 - 78 = 12
6 0
3 years ago
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