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irga5000 [103]
3 years ago
15

​ y=−8x−3 x+y=7 ​ Is (3,4) a solution of the system? ​

Mathematics
2 answers:
jekas [21]3 years ago
8 0

Answer: No

Step-by-step explanation:

Plug x and y into y=-8x-3 and calculate:

4 = -24 - 3

4 ≠ 27

Therefore (3,4) is not a solution of the system of equations.

Elden [556K]3 years ago
5 0

Answer:

No

Step-by-step explanation:

The given point does not satisfy the first equation.

 y = -8(3) -3 = -27

 4 ≠ -27 . . . . . the first equation is not satisfied.

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Given that the images represent 4 steps in the construction of a line segment congruent to a given line segment, which is step 3
Evgen [1.6K]

Answer:

Adjust the compasses' width to the point Q. The compasses' width is now equal to the length of the line segment PQ.

Step-by-step explanation:

Start with a line segment PQ that we will copy. Mark a point R that will be one endpoint of the new line segment. Set the compasses' point on the point P of the line segment to be copied. Adjust the compasses' width to the point Q. The compasses' width is now equal to the length of the line segment PQ.


8 0
3 years ago
1) The graph of g(x) is shown below. Which statement given below is FALSE?
Mnenie [13.5K]
<h3>Answer: Choice D </h3>

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

Explanation:

Let's go through the answer choices one by one to see which are true, and which are false.

  • Choice A) This is true because as we approach x = 2 from the left hand side, the y values get closer to y = 1 from the top
  • Choice B) This is true. As we get closer to x = 4 on the left side, the blue curve is heading downward forever toward negative infinity. So this is what y is approaching when x approaches 4 from the left side.
  • Choice C) This is true also. The function is continuous at x = -3 due to no gaps or holes at this location, so that means its limit here is equal to the function value.
  • Choice D) This is false. The limit does exist and we find it by approaching x = -4 from either side, and we'll find that the y values are approaching y = -2. In contrast, the limit at x = 2 does not exist because we approach two different y values when we approach x = 2 from the left and right sides (approach x = 2 from the left and you get closer to y = 1; approach x = 2 from the right and you get closer to y = -2). So again, the limit does exist at x = -4; however, the function is not continuous here because its limiting value differs from its function value.
  • Choice E) This is true because the function curve approaches the same y value from either side of x = 6. Therefore, the limit at x = 6 exists.
7 0
3 years ago
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p
Studentka2010 [4]

Using the z-distribution, it is found that the needed sample sizes are:

a) 242

b) 1842

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level, hence\alpha = 0.99, z is the value of Z that has a p-value of \frac{1+0.99}{2} = 0.995, so z = 2.575.

Item a:

The estimate is:

\pi = 0.223 - 0.189 = 0.034

The sample size is <u>n for which M = 0.03</u>, then:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 2.575\sqrt{\frac{0.034(0.966)}{n}}

0.03\sqrt{n} = 2.575\sqrt{0.034(0.966)}

\sqrt{n} = \frac{2.575\sqrt{0.034(0.966)}}{0.03}

(\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.034(0.966)}}{0.03}\right)^2

n = 241.97

Rounding up, a sample of 242 is needed.

Item b:

No prior estimates, hence \pi = 0.5 is used.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 2.575\sqrt{\frac{0.5(0.5)}{n}}

0.03\sqrt{n} = 2.575\sqrt{0.5(0.5)}

\sqrt{n} = \frac{2.575\sqrt{0.5(0.5)}}{0.03}

(\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.5(0.5)}}{0.03}\right)^2

n = 1841.8

Rounding up, a sample of 1842 is needed.

For more on the z-distribution, you can check brainly.com/question/25404151

5 0
3 years ago
If the slope of line l is x, and the slope of line m is x+2, and l⊥ m, what is x?
salantis [7]

Answer:

The answer to your question is:  x = -1

Step-by-step explanation:

Data

slope of l = x

slope of m = x +2

they are ⊥

Process

If they are ⊥, then,     x + 2  = - 1/x

                                  x(x + 2) = -1

                                  x² + 2x = -1

                                  x² + 2x + 1  = 0

                                 (x + 1)² = 0

                                 x + 1 = 0

                                x = -1

6 0
3 years ago
Create and solve a multiplication problem to show that the product of a whole number and a fraction will be equal to the whole n
miv72 [106K]

Maybe (10)(3/5)=6

The parentheses is multiplication

7 0
3 years ago
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