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Vikki [24]
3 years ago
11

BRAINIEST IF ANSWERED CORRECTLY

Mathematics
1 answer:
adoni [48]3 years ago
5 0

An example of something that doesn't have a solution is something like x+2 = x+3

If we subtract x from both sides, then we end up with 2 = 3, which is always false.

No matter what we plug in for x, the original equation will always be false. The right hand side is always 1 larger than the left side. So that's why we don't have any solutions here.

Side note: equations of this form are known as contradictions (or we could say the equation is inconsistent).

=====================================================

An example of something that has one solution is 3x+2 = 2x+7

Solving this equation leads us to...

3x+2 = 2x+7

3x-2x = 7-2

1x = 5

x = 5

To verify the solution, we plug it back into the original equation

3x+2 = 2x+7

3(5)+2 = 2(5)+7

15+2 = 10+7

17 = 17

We get the same thing on both sides, so we get a true statement. This confirms that x = 5 is the solution to 3x+2 = 2x+7.

=====================================================

An example of an equation with infinitely many solutions is 2x+4 = 2(x+2)

Notice how both sides are the same thing. The 2(x+2) distributes out to get 2x+4

Since we have the exact same identical expression on both sides, this ultimately means no matter what we plug in for x, we'll get a true statement. True statements (like the conclusion at the last section) are simply anything with the same number on both sides after simplifying everything.

Side note: equations of this form are known as identities

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1. A football team gains 2 yards on the first play,
Ilya [14]

Option C

The football team had a overall loss of 2 yards

<em><u>Solution:</u></em>

When the team gains yards we use a positive value, and when the team loses yards we use a negative value.

<em><u>Given that, football team gains 2 yards on the first play</u></em>

First play = +2

<em><u>Given that football team loses 5 yards on the second play</u></em>

Second play = -5

<em><u>Given that football team loses 3 yards  on the third play</u></em>

Third play = -3

<em><u>Given that football team gains 4 yards on the fourth play</u></em>

Fourth play = +4

Put the yards from four plays together, we get

⇒ 2 -5 -3 + 4

Let us simplify

⇒ -3 -3 + 4 = -6 + 4 = -2

So, -2 represents loss of two yards (since negative value indicates loss)

3 0
3 years ago
Translate the sentence into an equation. Four times the difference of a number and 5 is 24.
givi [52]
4\ times\to4\times\\difference\ of\ a\ number\ "c"\ and\ 5\to c-5\\is\ equal\ 24\to=24\\\\4\times(c-5)=24\\\\Answer:\boxed{a.}
3 0
3 years ago
In 1626, the Dutch bought Manhattan Island, now part of New York City, for $24 worth of merchandise. Suppose that, instead, $24
Radda [10]
2008 - 1626 -= 382

24 x (1.305)^382

= 12,229,955,10

Hope this helps
5 0
3 years ago
Read 2 more answers
PLEASE HELP!! WILL GIVE BRAINLIST!!!! Is the binomial a factor of the polynomial function? f(x)=x^3+4x^2−25x−100 Select Yes or N
pochemuha

Answer:

See below

Step-by-step explanation:

y = x^2 (x + 4) - 25(x + 4)

y = (x + 4)(x^2 - 25)

y = (x + 4)(x + 5)(x - 5)

  • x - 5 is a yes
  • x + 2 is a no
  • x - 4 is a no
4 0
2 years ago
What expression is equivalent to cos(1.4x)-cos(.6x)
andreev551 [17]
The answer should be:
cos (0.8 x)

BRAINLIEST PLS!!!
6 0
3 years ago
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