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Ne4ueva [31]
2 years ago
6

How many solutions exist for the given equation? 3(x - 2) = 22 -x

Mathematics
2 answers:
alexgriva [62]2 years ago
7 0
There is only one solution because it is a linear equation.
3x - 6 = 22 - x
3x + x = 22 + 6
4x = 28
X = 7
Sveta_85 [38]2 years ago
6 0

Answer:

One solution

Step-by-step explanation:

The equation can be rewrite as 3x - 6 = 22 - x

so we try to get all the x on one side so we add x and 6 to both sides so we get 4x = 28 then we divide by 4 both side and get x=7

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. A bridge over a river is built in the shape of a parabolic arch. The bridge has a span of 100 feet. The height of the arch is
katen-ka-za [31]

Answer:

The height of the arch at its center is 250/9 or about 27.78 feet.

Step-by-step explanation:

We can write an equation to model the parabolic arch.

Let the left-most point of the arch be the origin (0, 0).

Since the bridge has a span of 100 feet, the right-most point must be (0, 100).

We can use the factored form of a quadratic:

y=a(x-p)(x-q)

Where <em>p</em> and <em>q</em> are the <em>x-</em>intercepts.

Our <em>x-</em>intercepts are <em>x </em>= 0 and <em>x </em>= 100. Hence:

y=ax(x-100)

At a point 40 feet from the center, the height of the arch is 10 feet.

The center is <em>x</em> = 50. So, a point 40 feet from the center can be either <em>x</em> = 10 or <em>x</em> = 90.

So, for instance, when <em>x</em> = 10, <em>y</em> = 10. Substitute and solve for <em>a: </em>

<em />10=10a(10-100)<em />

So:

\displaystyle a=-\frac{1}{90}

The same value will result if we let <em>x</em> = 90 and <em>y</em> = 10.

Hence, our equation is:

\displaystyle y=-\frac{1}{90}x(x-100)

The height of the arch at its center will be when <em>x</em> = 50. Hence:

y(50)=\displaystyle -\frac{1}{90}(50)((50)-100)=\frac{250}{9}\approx 27.78\text{ feet}

4 0
3 years ago
g The bursar a conducts a test of hypothesis that the mean amount of student debt a WCU undergrad will leave college with is equ
aleksandrvk [35]

Answer: Type I error

Step-by-step explanation:

A type 1 error is also referred to as the false positive and it is when a true null hypothesis is incorrectly rejected by the researcher.

On the other hand, type II error which is also refered to as the false-negative is when a null hypothesis which is false is failed to be rejected by the researcher but rather accepted.

Based on the information given in the question, since the data leads to the rejection of the null hypothesis such was later found out to be true, then a type I error has occured.

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3 years ago
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TEA [102]

Answer:

36.0555

Step-by-step explanation:

6 0
3 years ago
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Find the domain and range of the relation.
andre [41]
X|59|46|24|24
Y|48|38|38|26

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Answer: C.
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irakobra [83]

Answer:

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Step-by-step explanation:

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