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Paul [167]
3 years ago
13

Chose the equation for a line that passes through (2,-3) and has a slope of m=-4 in point slope form.

Mathematics
1 answer:
Sladkaya [172]3 years ago
6 0

Answer:

y + 3 = - 4(x - 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 4 and (a, b) = (2, - 3), thus

y - (- 3) = - 4(x - 2), that is

y + 3 = - 4(x - 2)

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Steven recently won $1 in the scratch-n-play lotto. His banker,
kolbaska11 [484]

Answer:

101.00

Step-by-step explanation:

Given:

P=principal=$1

r=rate=1%=0.01

n=number of periods=12

t=time=1

Compound Interest (A)=P(1+r/n)^nt

=$1(1+0.01/12)^12×1

=$1(1+0.00083)^12

=$1(1.00083)^12

=$1(1.0100055)

=$1.0100055

Approximately

101.00

5 0
2 years ago
Mr. Vazquez determines that the area of a bathroom in his house is 25 square feet less than 1/5 of the area of the
slavikrds [6]

Answer:

300

Step-by-step explanation:

5 0
2 years ago
In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a go
Licemer1 [7]

Answer: The interval is 0.9 ± 0.0259 and margin of error is 0.0259

Step-by-step explanation: <em>Confidence interval for a proportion in one sample</em> is the estimate of the proportion of a population. It is calculated following the next steps:

1) Find the proportion p=\frac{x}{n}, in which x is the number of people with the desired condition. In our case, p=0.9;

2) Calculate margin of error, i.e.:

z\sqrt{\frac{p(1-p)}{n}}

z is z-score, which for a 95% confidence, equals 1.96;

Substituting with the data given:

1.96(\sqrt{\frac{0.9(1-0.9)}{514}}) = 0.0259

3) Write: p ± z\sqrt{\frac{p(1-p)}{n}}

In our case, the interval will be 0.9 ± 0.0259.

<u><em>Margin</em></u><em> </em><u><em>of</em></u><em> </em><u><em>error</em></u> is the random sampling error in the results of a survey, i.e.,it shows you how far your result will be from the real value. For the Harris poll, margin of error is 0.0259

7 0
3 years ago
What is the solution to the equation fraction 4 over 5 n minus fraction 3 over 5 equals fraction 1 over 5 n?
Andreas93 [3]

Answer:

The solution is n=1

Step-by-step explanation:

I hope you mean

4/5n-3/5=1/5n

if so then here's the solution

5n×4/5n-3/5×5n=1/5n×5n

4-3n=1

4-1=3n

3n=3

n=1

6 0
3 years ago
Read 2 more answers
A system of equations is graphed on a coordinate plane.
zavuch27 [327]

Answer:

Option C is correct.

(1, 4)

Step-by-step explanation:

A system of equation is given :

2x + 3y =12                 .....[1]

4x + 2y =10                 .....[2]

Multiply equation [1] by 2 both sides we get;

2(2x+3y) = 2(12)

Using distributive property i,e a \cdot(b+c) = a\cdot b+ a\cdot c

4x + 6y = 24                           .....[3]

Subtract equation [2] from [3] to eliminate x we get;

4x + 6y - 4x - 2y= 24 - 10

Combine like terms;

4y = 14

Divide both sides by 4 we get;

y = 3.5

Substitute the value of y in equation [1] we have;

2x + 3(3.5) =12

2x + 10.5 = 12

or

2x = 12 -10.5

2x = 1.5

Divide both sides by 2 we get;

x = 0.75

Solution = (0.75 , 3.5)

Best estimate solution =  (1, 4)

Therefore, the best estimate solution of the given system of equation is, (1, 4)

8 0
3 years ago
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