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Kisachek [45]
3 years ago
13

Solve this and show your work please

Mathematics
1 answer:
Artemon [7]3 years ago
3 0
Q+12-2q+44=0
-q=-44-12
q=56
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The archway of the main entrance of a university is modeled by the quadratic equation
Scilla [17]

Answer:

B. (1,5) and (5.25, 3.94)

Step-by-step explanation:

The answer is where the 2 equations intersect.

We need to solve the following system of equations:

y = -x^2 + 6x

4y = 21 - x

From the second equation:

x = 21 - 4y

Plug this into the first equation:

y = -(21 - 4y)^2 + 6(21 - 4y)

y = -(441 - 168y + 16y^2)+  126 - 24y

y = -441 + 168y - 16y^2 +  126 - 24y

16y^2 + y - 168y + 24y + 441 - 126 = 0

16y^2 - 143y + 315 = 0

y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)

y = 5, 3.938

When y = 5:

x = 21 - 4(5) = 1

When y = 3.938

x = 21 - 4(3.938) = 5.25.

3 0
2 years ago
The volume of one of the Great Lakes is 3.5 × 10^3 cubic kilometers. If there are 6.3 × 10^7 fish in the lake, what is the avera
Gala2k [10]
________________1,8*10^4
3 0
2 years ago
Lena says that and are like terms. Is she correct? Why or why not? A. No, because the same variables are not raised to the same
qwelly [4]

Answer:

D because of the question

8 0
2 years ago
An ant can crawl 3/4 of a yard in 1/2 minute. How long will it take for the ant to crawl 12 yards?​
Elan Coil [88]

Answer:

6 mins

Step-by-step explanation:

An ant can crawl 3/4 of a yard in 1/2 minute. How long will it take for the ant to crawl 12 yards?​

Ant crawls 3/4 of a yard in = 1/2 min = 60/2 sec = 30 sec

Ant crawls 12 yards in = 12 * 30 = 360 sec = 360/60 = 6 minutes

5 0
3 years ago
Read 2 more answers
In how many different ways can the
Dafna11 [192]
My answer isn't in your choices so it's probably wrong, but hopefully my approach can give you hints.

The vowels are AEAI
The vowels can be arranged in 4*3*2=24 ways.

The non vowels are MTHMTCS
If the vowels must be together, there have to be in one of the spaces between the non vowels.
If we look at it like this:
-M-T-H-M-T-C-S-
The 4 vowels must go in one of the places marked with a dash.
There are thus 8 places to choose from.

But we must also consider that the non vowels can be arranged in any way. There are 7 of them, so they can be arranged in 7*6*5*4*3*2=5040 ways.

Multiply everything together to get 8*5040*24=967680
3 0
2 years ago
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