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ss7ja [257]
3 years ago
5

What is the equation of the following line written in general form? (The y-intercept is -1.)

Mathematics
2 answers:
Ludmilka [50]3 years ago
3 0

Answer:

The correct answer is 2x - y - 1 = 0

Step-by-step explanation:

To find this, use the ordered pair (1, 1) in any of the equations. If it results in a true statement then this can be an equation.

2x - y - 1 = 0

2(1) - (1) - 1 = 0

2 - 1 - 1 = 0

0 = 0 (TRUE STATEMENT)

Alja [10]3 years ago
3 0

Answer:

Option 3 - 2x-y-1=0

Step-by-step explanation:

To find : What is the equation of the following line written in general form?

Solution :

According to graph line passes through point (1,1).

The equation which satisfy the point is the required equation,

1) 2x+y-1=0

Put x=1 and y=1,

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

2\neq 0

Not satisfied.

2) -2x-y-1=0

Put x=1 and y=1,

-2(1)-(1)-1=0

-4\neq 0

Not satisfied.

3) 2x-y-1=0

Put x=1 and y=1,

2(1)-(1)-1=0

0=0

Satisfied.

Therefore, the required equation is 2x-y-1=0

So, Option 3 is correct.

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A sample of salary offers (in thousands of dollars) given to management majors is: 48, 51, 46, 52, 47, 48, 47, 50, 51, and 59. U
balu736 [363]

Answer:

Step-by-step explanation:

number of samples, n = 10

Mean = (48 + 51 + 46 + 52 + 47 + 48 + 47 + 50 + 51 + 59)/10 = 49.9

Standard deviation = √(summation(x - mean)/n

Summation(x - mean) = (48 - 49.9)^2 + (51 - 49.9)^2 + (46 - 49.9)^2+ (52 - 49.9)^2 + (47 - 49.9)^2 + (48 - 49.9)^2 + (47 - 49.9)^2 + (50 - 49.9)^2 + (51 - 49.9)^2 + (59- 49.9)^2 = 128.9

Standard deviation = √128.9/10 = 3.59

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 10 - 1 = 9

Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.262

Margin of error = 2.262 × 3.59/√10

= 2.57

the lower limit of this confidence interval is

49.9 - 2.57 = 47.33

the lower limit of this confidence interval is

49.9 + 2.57 = 52.47

So it is false

6 0
3 years ago
Jordana wrote the equation for a linear relationship as y = -8x-4. For what value of x is y equal to -16
victus00 [196]
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3 0
4 years ago
Which function represents a reflection of f(x) = 3/8 (4)x across the y-axis?
almond37 [142]

Answer:

D is correct option.g(x)=\frac{3}{8}\cdot (4)^{-x}

Step-by-step explanation:

We are given a function f(x)=\frac{3}{8}\cdot (4)^x

We need to find new function reflection of f(x) across the y-axis.

When function reflection across y-axis x\rightarrow -x

\text{Reflection across y-axis}f(x)\rightarrow f(-x)

Therefore, f(-x)=\frac{3}{8}\cdot (4)^{-x}

New function, g(x)=f(-x)

g(x)=\frac{3}{8}\cdot (4)^{-x}

Thus, D is correct option.


6 0
3 years ago
Read 2 more answers
Help <br> 7. Given the figure, find the desired measurements
EastWind [94]

Answer:

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Step-by-step explanation:

It looks like you have ...

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The sum of the angles in the triangle is 180°, so we have ...

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  x = 182/13 = 14

Then the angle measures are ...

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m∠F = 66°

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3 years ago
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Allushta [10]
An angle supplementary to 25 can be 6
7 0
3 years ago
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