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insens350 [35]
3 years ago
15

Select all of the following that are quadratic equations.

Mathematics
1 answer:
sleet_krkn [62]3 years ago
3 0
The name Quadratic<span> comes from "quad" meaning square, because the variable gets squared (like x</span>2<span>). However, it is important to not that an expression is only quadratic if and only if the highest degree of a term is 2. Therefore, the quadratic equations from the pool of choices would be as follows:

</span><span>3x^2 + 5x - 7 = 0
</span><span>5x^2+ 15x = 0
</span><span>x^2 - 4x = 4x + 7</span>
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The California Tiger Salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that current
stellarik [79]

Answer:

Population after 4 years = 49 (nearest unit)

Population after 5 years  = 47 (nearest unit)

Step-by-step explanation:

Yearly decrease = 4.6%

Decrease factor (what's left) = (100-4.6)% = 0.954

Current population, P = 60

population after n years = P(0.954)^n  (to the nearest unit)

Population after 4 years = 60(0.954)^4 = 49.7 = 49 (nearest unit)

Population after 5 years  = 60(0.954)^5 = 47.4 = 47 (nearest unit)

5 0
3 years ago
Read 2 more answers
Prove that cos(2????) = 2cos2(????) − 1 for any real number ????.
Over [174]

Answer:

Sure

Step-by-step explanation:

6 0
3 years ago
The area of a rectangle is 3535 square meter. the width is 2525 meter.
GaryK [48]
A, using the formula length= Area: width
and we have the length= 3535:2525= 1,4 m or this number as a fraction 14/10=7/5
But the length is smaller than the width?

b, I think you type wrongly the problem
3 0
3 years ago
Colby is making a home video consisting of a 5-minute introduction followed by several short skits. Each skit is 6 minutes long.
givi [52]
<h2>Hello!</h2>

The answer is: There are a total of 16 skits in the video.

<h2>Why?</h2>

From the statement, we know that the total length of the video is 101 minutes and it contains a 5-minute introduction, the rest of the minutes are short skits (which are 6 minutes long each one).

So, we need to write the following equations:

First equation:

TotalDuration=Introduction+n*Skit

Second equation:

Skit=6Minutes

Where,

TotalDuration=101Minutes\\Introduction=5Minutes\\n=NumberOfSkits\\Skit=6Minutes

So, replacing and substituting the second equation into the first equation we have:

101Minutes=5Minutes+n*6Minutes\\n*6Minutes=101Minutes-5Minutes\\n*6Minutes=96Minutes\\n=\frac{96Minutes}{6Minutes}=16

So, there are a total of 16 skits in the video.

Let's prove it substituting "n" into the first equation:

101Minutes=5Minutes+16*6minutes\\101Minutes=5Minutes+96Minutes\\101Minutes=101Minutes

Have a nice day!

8 0
3 years ago
Simplify the expression with using scientific notation (4 times 10 8)2
kifflom [539]

The scientific notation:

a\cdot10^n\\\\1\leq a < 10;\ n\in\mathbb{Z}

(4\cdot10^8)^2=4^2(10^8)^2=16\cdot10^{8\cdot2}=16\cdot10^{16}\\\\=1.6\cdot10\cdot10^{16}=1.6\cdot10^{17}

Used:

(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a=a^{n+1}

Answer: (4 × 10⁸)² = 1.6 × 10¹⁷

8 0
3 years ago
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