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puteri [66]
2 years ago
14

How many solutions are there to this system of equations?

Mathematics
1 answer:
Inessa05 [86]2 years ago
8 0

Answer:

no solution

Step-by-step explanation:

the solution to a system of equations is at the points of intersection of the 2 lines.

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{4} x - 4 ← is in slope- intercept form

with slope m = \frac{1}{4}

y = \frac{1}{4} x - 1 ← is in slope- intercept form

with slope m = \frac{1}{4}

• Parallel lines have equal slopes

then the 2 lines are parallel and never intersect.

Thus the system of equations has no solution

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How to make 4/7 into a rational number?
MrMuchimi
4/7 is a rational number. A rational number is a number that can be turned into or is a fraction.
8 0
3 years ago
The level of nitrogen oxides (NOX) in the exhaust after 50,000 miles or fewer of driving of cars of a particular model varies No
Greeley [361]

Answer:

For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.              

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 0.02 g/mi

Standard Deviation, σ = 0.01 g/mi

Sample size, n = 81

We are given that the distribution of  level of nitrogen oxides is a bell shaped distribution that is a normal distribution.

Standard error due to sampling:

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.01}{\sqrt{81}} = 0.0011

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.01

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 0.02}{0.0011})=0.01  

= 1 -P( z \leq \displaystyle\frac{x - 0.02}{0.0011})=0.01  

=P( z \leq \displaystyle\frac{x - 0.02}{0.0011})=0.99  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 0.02}{0.0011} = -2.326\\\\x = 0.0174

For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.

5 0
3 years ago
Which table represents a linear function? answer ASAP will give brainliest: TIMED
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Answer:

ay math

Step-by-step explanation:

waay ko na kabalo dai mayo tani kung lain lang nga subject

5 0
1 year ago
Which of the following methods would be the easiest to use to solve 12x2 – 48 = 0?
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\bf \stackrel{\textit{solving for \underline{x}}}{12x^2-48=0\implies 12x^2=48\implies x^2=\cfrac{48}{12}\implies x^2=4} \\\\\\ x=\pm\sqrt{4}\implies x=\pm 2

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3 years ago
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Parallelogram ABCD is dilated to form parallelogram EFGH. Side BC is proportional to side CD. Which corresponding side is propor
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Answer:

It is given that , Parallelogram ABCD is dilated to form parallelogram EFGH.

When Dilation of a geometrical shape takes place, the two→→image and Pre image will be Similar.

Parallelogram ABCD ~ Parallelogram EFGH

Since Similar shapes have , Proportional side Lengths as well as length of their Diagonal will be proportional.

\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}=\frac{AC}{EG}=\frac{BD}{EG}

So, Segment FG will be proportional to Segment BC.

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