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Alex_Xolod [135]
3 years ago
10

Write the equation of the line the passes through (1, -2) and (3, 4) in slope intercept form.​

Mathematics
1 answer:
Alona [7]3 years ago
4 0

Answer:

y=3x-5

Step-by-step explanation:

First find the slope, 4+2 over 3-1, giving you the slope of three

then set up your equation, y=3x+?

I played with the y=3x - part on the website desmos graphing calculator, I first inserted the points then found the slope and then played with the equation till it went through both the points.

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If f(x) = 5x − 1 and g(x) = 2x2 + 1, what is the value of (f × g)(-3)?
Softa [21]

f(x) = 5x − 1 and g(x) = 2x^2 + 1

(f × g)(x) =  (5x − 1)(2x^2 + 1)

(f × g)(x) = 10x^3 - 2x^2 + 5x - 1

Substitute x = - 3

(f × g)(-3) = 10(-3)^3 - 2(-3)^2 + 5(-3) - 1

(f × g)(-3) = 10(-27) - 2(9) -15 - 1

(f × g)(-3) =-270 - 18 - 16

(f × g)(-3) = -236

Answer

- 236

6 0
3 years ago
Find the missing measures
Brrunno [24]

Answer:

y=107

x=73

z=73

Step-by-step explanation:

y and 107 are vertical angles, which means that they're the same value because they're vertically across from each other.

107 and x are supplementary angles, so x=180-107 or 73.

x and z are also vertical angles, so x=z=73.

4 0
3 years ago
Read 2 more answers
Solve the inequality k - 3 < 5
k0ka [10]

k-3+3<5+3 is the explanation and the answer is k<8

7 0
2 years ago
Read 2 more answers
Josiah is taking his friends to the movies. Each ticket costs $10, and popcorn is $5 a bag. There is a $3 service fee for the en
gregori [183]
<span>Each ticket costs $10. He bought "x" tickets. Ticket cost = 10*x
Each bag of popcorn costs $5.
He bought "y" bags of popcorn.
Popcorn cost = 5*y Service fee: $3
Total cost = 10x + 5y + 3 <= $75 is the inequality.
10x + 5y <= 72
If x = 4,
then 40 + 5y <= 72
5y <= 32
y <= 6.4
So y = 6 bags of popcorn.</span>
7 0
3 years ago
Read 2 more answers
A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a
laila [671]

Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Round your answer up to the nearest integer.

sample size = _____

Answer:

The sample size is n = 271    

Step-by-step explanation:

From the question we are told that  

   The margin of error is  E = 5% = 0.05

Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be  

     \^ p =  0.5

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = [\frac{1.645 }{0.05} ]^2 * 0.5 (1 - 0.5 )

=>   n = 271    

5 0
3 years ago
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