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erik [133]
3 years ago
5

0. REINFORCE The sum of two numbers is 20. The difference between the same numbers is 48. Write this system of equations and the

n solve it by graphing. Be sure to sketch your graph as well as give the solution.​
Mathematics
2 answers:
choli [55]3 years ago
8 0

Answer:

  • (34, -14)

Step-by-step explanation:

Let the numbers be x and y.

<u>The system based on the question is:</u>

  • x + y = 20
  • x - y = 48

The solution is: (34, -14)

See the graph

frez [133]3 years ago
7 0

Answer:

(34, -14)

Step-by-step explanation:

x + y = 20

x - y = 48

See attached

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2 years ago
A researcher compares the effectiveness of two different instructional methods for teaching electronics. A sample of 138 student
yan [13]

Answer:

The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the difference between population means is:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

The information provided is as follows:

n_{1}= 138\\n_{2}=156\\\bar x_{1}=61\\\bar x_{2}=64.6\\\sigma_{1}=18.53\\\sigma_{2}=13.43

The critical value of <em>z</em> for 98% confidence level is,

z_{\alpha/2}=z_{0.02/2}=2.326

Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

     =(61-64.6)\pm 2.326\times\sqrt{\frac{(18.53)^{2}}{138}+\frac{(13.43)^{2}}{156}}\\\\=-3.6\pm 4.4404\\\\=(-8.0404, 0.8404)\\\\\approx (-8.04, 0.84)

Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

5 0
3 years ago
What is the unit price of cheese if 1.6 pounds cost $14.40?
Nookie1986 [14]

Answer:

$8.87 per pound

Step-by-step explanation:

7 0
3 years ago
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According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 + 2x – 24.
Andrei [34K]

Answer:

The answer is 3 and (-4).

Step-by-step explanation:

We are given an equation 2x² + 2x – 24.

Let us assume that the equation is equal to zero.

2x² + 2x – 24 = 0

Now, divide whole equation by 2 we get,

x² + x – 12 = 0

x² + 4x – 3x – 12 = 0

x(x + 4) – 3(x + 4) = 0

(x – 3) (x + 4) = 0

x = 3, -4

Thus, The actual roots of f(x) are 3 and (-4).

7 0
2 years ago
I'm having trouble
Liono4ka [1.6K]
It would be B because you would take amelias age and take two away since todd is five years younger to get the a-5.
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