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Hitman42 [59]
3 years ago
8

Find the equation of the line passing through the point (2,−4) that is parallel to the line y=3x+2

Mathematics
1 answer:
seraphim [82]3 years ago
3 0

Answer:

The equation of the line would be y = 3x - 10

Step-by-step explanation:

To find the equation we first need to note that parallel lines have the same slope. So since the original equation has a slope of 3, the new one will as well. Now we can use that slope and the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y + 4 = 3(x - 2)

y + 4 = 3x - 6

y = 3x - 10

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-7-4p-(-5) pls answer
Evgesh-ka [11]

Answer:

-7-20p

Step-by-step explanation:

Did it in my head but generally first parentheses so -1 times by -5 is 5... still there so multiply 5 by -4p, after that no more simplifying to be done as you cant combine or simplify a number with a variable to one that doesn't have a variable.

7 0
2 years ago
F(x) = 2x + 5
Finger [1]

9514 1404 393

Answer:

  15. f(x) +g(x) = 7x +2

  16. f(x) -g(x) = -3x +8

  17. h(x) · g(x) = 35x -21

Step-by-step explanation:

Substitute the function definition for each function expression and simplify.

__

15. f(x) + g(x) = (2x +5) +(5x -3)

  f(x) +g(x) = 7x +2

__

16. f(x) - g(x) = (2x +5) -(5x -3)

  f(x) -g(x) = -3x +8

__

17. h(x) · g(x) = (7) · (5x -3)

  h(x) · g(x) = 35x -21

4 0
3 years ago
To test the belief that sons are taller than their​ fathers, a student randomly selects 13 fathers who have adult male children.
KATRIN_1 [288]

Answer:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  \bar x_1 =  \bar x_2

The alternative hypothesis Hₐ: \bar x_1 <  \bar x_2

Test statistic, t = -0.00693

p- value = 0.498

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 level of significance

Step-by-step explanation:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  \bar x_1 =  \bar x_2

The alternative hypothesis Hₐ: \bar x_1 <  \bar x_2

The test statistic for t test is;

t=\dfrac{(\bar{x}_1-\bar{x}_2)}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}

The mean

Height of Father, h₁,  Height of Son h₂

72.4,      77.5

70.6,      74.1

73.1,       75.6

69.9,      71.7

69.4,      70.5

69.4,      69.9

68.1,       68.2

68.9,      68.2

70.5,       69.3

69.4,       67.7

69.5,       67

67.2,       63.7

70.4,       65.5

\bar x_1  = 69.6      

s₁ = 1.58

\bar x_2 = 69.9

s₂ = 3.97

n₁ = 13

n₂ = 13

t=\dfrac{(69.908-69.915)}{\sqrt{\dfrac{3.97^{2}}{13}-\dfrac{1.58^{2} }{13}}}

(We reversed the values in the square root of the denominator therefore, the sign reversal)

t = -0.00693

p- value = 0.498 by graphing calculator function

P-value > α Therefore, we do not reject the null hypothesis

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 lvel of significance

8 0
4 years ago
Here is the question here please answer
earnstyle [38]

Daaaaaaaaaammmmm that’s hard

4 0
3 years ago
Please help. <br> Find the value of h in the triangle.
dybincka [34]
1/2×12m×18.2m=109.2m2
109.2m2÷21.8m÷1/2=10m(nearest whole number)
h=10m
3 0
3 years ago
Read 2 more answers
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