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Troyanec [42]
1 year ago
14

A system of equations is graphed on the coordinate plane. 2y=3x−14y=6x−2 Select the number of solutions for the system of equati

ons from the drop-down menu. Choose.
Mathematics
1 answer:
zloy xaker [14]1 year ago
8 0

The pair of the linear system has a unique solution. Then the number of solutions is exactly one.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest degree of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The equations are 2y = 3x - 14 and y = 6x - 2.

We know the condition.

\rm \dfrac{a_1}{a_2} \neq  \dfrac{b_1}{b_2}\\\\\dfrac{6}{3} \  \neq \dfrac{1}{2}

The system of equations follows the condition.

The graph is shown below.

Since the pair of the linear system has a unique solution.

Thus, the number of solutions is exactly one.

More about the linear system link is given below.

brainly.com/question/20379472

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If x = -5, which inequality is true?
stealth61 [152]

Answer:

A

Step-by-step explanation:

Its A because -4 - 3x > 7 because -1 - 7 is -6 but u have to - 1 because of the negative signs

8 0
2 years ago
I NEED HELP PLEASE, THANKS! :)
NISA [10]

Answer:   \bold{b)\quad \dfrac{2\pi}{3},\dfrac{4\pi}{3},0}

<u>Step-by-step explanation:</u>

Note the following identities: tan² x = sec²x - 1

                                                 \sec x=\dfrac{1}{\cos}

tan² x + sec x = 1

(sec² x -1) + sec x = 1

sec² x + sec x - 2 = 0

(sec x + 2)(sec x - 1) = 0

sec x + 2 = 0     sec x - 1 = 0

sec x = -2          sec x = 1

\dfrac{1}{\cos x}=-2\qquad \dfrac{1}{\cos x}=1\\\\\cos x=-\dfrac{1}{2}\qquad \cos x=1\\\\x=\dfrac{2\pi}{3}, \dfrac{4\pi}{3}\qquad x=0

8 0
3 years ago
Read 2 more answers
BRAINLIEST IF CORRECT PLEASE USE WORK!
ladessa [460]

Answer:


To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept: (− 45 , 0 )

y-intercept:  ( 0 , − 15 )

7 0
3 years ago
Read 2 more answers
A survey of 35 people was conducted to compare their self-reported height to their actual height. The difference between reporte
Over [174]

Answer:

The test statistic is t = 3.36.

Step-by-step explanation:

You're testing the claim that the mean difference is greater than 0.7.

At the null hypothesis, we test if the mean difference is of 0.7 or less, that is:

H_0: \mu \leq 0.7

At the alternate hypothesis, we test if the mean difference is greater than 0.7, that is:

H_1: \mu > 0.7

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that \mu = 0.7

A survey of 35 people was conducted to compare their self-reported height to their actual height.

This means that n = 35

From the sample, the mean difference was 0.95, with a standard deviation of 0.44.

This means that X = 0.95, s = 0.44

Calculate the test statistic

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{0.95 - 0.7}{\frac{0.44}{\sqrt{35}}}

t = 3.36

The test statistic is t = 3.36.

3 0
3 years ago
Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?
krok68 [10]
4^{x} = 64

By taking <span>logarithmic of base 10

∴ </span><span>log 4^{x} = log 64

∴ x log 4 = log 64

∴ x =  \frac{log \ 64}{log \ 4}

∴ The correct choice is
</span><span>x = log base 10 of 64, all over log base 10 of 4</span>
8 0
3 years ago
Read 2 more answers
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