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2 years ago

True or False: (1, 3) is a solution to the system of linear equations shown

Mathematics

2 answers:

trapecia [35]2 years ago

8 0

Answer:

True

Step-by-step explanation:

You can substitute x = 1 and y = 3 into both equations and see if it's true or not.

y = 4x - 1

becomes

3 = 4(1) - 1

3 = 4 - 1

3 = 3

True

y = x + 2

becomes

3 = 1 + 2

3 = 3

True

Since both equations come out true, this (1, 3) is a solution.

astraxan [27]2 years ago

4 0

Answer:

True

Step-by-step explanation:

(1, 3) is a solution to the system of linear equations shown is true

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What is the answer to<br> (-6x-6)+(8x-6)

Otrada [13]

(-6x-6)+(8x-6)
-6x-6+8x-6
2x-12

Hope this helps :)

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2 years ago

The amount of lateral expansion (mils) was determined for a sample of n = 8 pulsed-power gas metal arc welds used in LNG ship co

Alona [7]

Answer:

95% Confidence interval for the variance:

$3.6511\leq \sigma^2\leq 34.5972$

95% Confidence interval for the standard deviation:

$1.9108\leq \sigma \leq 5.8819$

Step-by-step explanation:

We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².

The sample, of size n=8, has a standard deviation of s=2.89 miles.

Then, the variance of the sample is

$s^2=2.89^2=8.3521$

The confidence interval for the variance is:

$\dfrac{ (n - 1) s^2}{ \chi_{\alpha/2}^2} \leq \sigma^2 \leq \dfrac{ (n - 1) s^2}{\chi_{1-\alpha/2}^2}$

The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:

$\chi_{0.025}=1.6899\\\\\chi_{0.975}=16.0128$

Then, the confidence interval can be calculated as:

$\dfrac{ (8 - 1) 8.3521}{ 16.0128} \leq \sigma^2 \leq \dfrac{ (8 - 1) 8.3521}{1.6899}\\\\\\3.6511\leq \sigma^2\leq 34.5972$

If we calculate the square root for each bound we will have the confidence interval for the standard deviation:

$\sqrt{3.6511}\leq \sigma\leq \sqrt{34.5972}\\\\\\1.9108\leq \sigma \leq 5.8819$

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2 years ago

A pyramid has a square base with sides that measure 10 cm and a height of 14 cm. What is the slant height of the pyramid

JulijaS [17]

Answer:

17.2 cm

Step-by-step explanation:

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RoseWind [281]

1 1/10
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J=UC solve for c please

mart [117]

»»————-　★　————-««

I believe your answer is:

$c=\frac{j}{u}; u\neq 0$

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

$\boxed{\text{Solving for 'c'...}}}\\\\j = uc \\------------\\\rightarrow \frac{j=uc}{u}\\\\\rightarrow \frac{j}{u}=c\\\\\rightarrow \boxed{c=\frac{j}{u}}}; u\neq 0$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

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2 years ago