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ivanzaharov [21]
3 years ago
12

(?,5) is on the line 4x-7y=1. Find the other half of the coordinate.

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0
The coordinate is an ordered pair (x,y). We have a number, 5, for y, which we can substitute (plug-in) for y in the equation of the line and solve for x.

4x-7y=1\\4x-7(5)=1\\4x=36\\x=9

(9,5)
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Noah plays football. His team's goal is to score
OleMash [197]

Answer:

No

Step-by-step explanation:

We can plug in the ordered pair (6,-1) into the equation. Remember that 6 is the x coordinate therefore we plug it in for x and that -1 is the y coordinate so we should plug it in for y.

6x+3y=6(6)+3(-1)=36-3=33

Since 33 is not equivalent to 15, (6, -1) is not a solution to the equation.

3 0
2 years ago
The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 year
puteri [66]

Answer:

z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29  

Step-by-step explanation:

information given

\bar X=10.6 represent the sample mean  

\sigma=4.1 represent the population standard deviation

n=45 sample size  

\mu_o =12 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value for the test

Hypothesis to test

We want to test if the true mean is less than 12, the system of hypothesis would be:  

Null hypothesis:\mu \geq 10  

Alternative hypothesis:\mu < 10  

The statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

Replacing the info given we got:

We can replace in formula (1) the info given like this:  

z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29  

8 0
4 years ago
Which line has a constant of proportionality between y and x of 1/2
Pepsi [2]

Answer:

Line c

Step-by-step explanation:

y=\frac{x}{2}

5 0
3 years ago
PLEASEE HELP AGAINNNN!!!!<br> If a1 = 4 and an = -4an - 1 then find the value of a6
sertanlavr [38]

The 6th term of the geometric sequence is of -4096.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

a_n = a_1q^{n-1}

In which a_1 is the first term.

For this problem, we have that:

  • The first term is a_1 = 4.
  • a_n = -4a_{n - 1}, hence the common ratio is q = -4.

Thus the 6th term of the sequence is found as follows:

a_6 = a_1q^5 = 4(-4)^5 = -4096

More can be learned about geometric sequences at brainly.com/question/11847927

#SPJ1

6 0
1 year ago
The number 5/3 is a _____________________ because 5 and 3 are integers and 3 is not equal to zero.
fiasKO [112]

Answer:

Rational

Step-by-step explanation:

The number 5/3 is a rational number because 5 and 3 are integers and 3 is not equal to zero.

6 0
3 years ago
Read 2 more answers
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