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Over [174]
3 years ago
14

Isolating a variable in two equations is easiest when one of them has a coefficient 1.

Mathematics
1 answer:
Tomtit [17]3 years ago
6 0

Answer:

Option C.

Step-by-step explanation:

The given equations are

3A-B=5

2A+3B=-4

We need  isolate one of the variables, such that it appears by itself on one side of the equation.

Isolating a variable in two equations is easiest when one of them has a coefficient 1.

In equation 1, coefficient of B is 1. So, we can easily isolate one of the variables.

The equation is

3A-B=5

Subtract 3A from both sides.

-B=5-3A

Multiply both sides by -1.

B=3A-5

Therefore, the correct option is C.

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A research article reports the results of a new drug test. The drug is to be used to decrease vision loss in people with Macular
Brilliant_brown [7]

Answer:

A. Valid

Step-by-step explanation:

The P-value is the probability of getting this result or sample statistic if the null  hypothesis is true. That is why a low P-value (smaller than the significance level) is considered evidence to reject the null hypothesis, because the result has little probability of being due to chance.

The statement that the P-value is "the probability of getting results as extreme as or more extreme than the ones in this study if the drug is actually not effective" is valid, as the null hypothesis states generally the opposite of the objective of the study (demonstrate that the drug is effective), and the very low value of the P-value is indicative that this result, if the drug was not effective, has a very low probability.

7 0
3 years ago
What values for q (0 ≤q≤2π)<br> satisfy the equation?<br><br> 22√sin q + 2 = 0
Vesna [10]
Answer:
\frac{3 \pi }{4} , \frac{7 \pi }{4}

Explanation:
2√2 sin(q) + 2 = 0
2√2 sin(q) = -2
sin(q) = \frac{-2}{2 \sqrt{2} }
sin(q) = \frac{- \sqrt{2} }{2}

Now, we know that:
sin (45) = \frac{ \sqrt{2} }{2}

From the ASTC rule, we know that the sine function is negative in the third and fourth quadrant.
This means that:
either q = 90 + 45 = 135° which is equivalent to \frac{3 \pi }{4}
or q = 270 + 45 = 315° which is equivalent to \frac{7 \pi }{4}

Hope this helps :)
6 0
3 years ago
Read 2 more answers
Factor: 2x + 2y<br> Show work please
bearhunter [10]

Answer:

2(x + y)

Step-by-step explanation:

You can pull out a 2 from the expression.

So divide 2x by 2 and 2y by 2.

2x/2 = x

2y/2 = y

2(x + y)

7 0
3 years ago
The figure shows a bridge support, a cable, and the roadway of a bridge.
Murljashka [212]

Answer:

soln,

feet × feet tall

170×80

13,600

3 0
2 years ago
I need help with like terms
professor190 [17]
I’m guessing you mean like this.
2x+4y+5x+8y.
2x and 5x are like terms because the x’s are alike. If you add 2+5, the answer is 7. So therefore 2x+5x=7x.

4y and 8y are like terms because the y’s are alike. So the answer to 4y+8y would be 12y.

If you need extra help, give me a problem and I will help you solve it.
7 0
3 years ago
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