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valkas [14]
3 years ago
10

Passes through (-1, 4) and m=4

Mathematics
1 answer:
ladessa [460]3 years ago
7 0

Answer:

Step-by-step explanation:

m = 4

y -y_{1}=m(x -x_{1})\\\\y - 4 = 4(x -[-1])\\\\y - 4 = 4(x + 1)\\\\y -5= 4x + 4\\\\y = 4x + 4 + 5\\y = 4x + 9

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down,drag into the correct p
boyakko [2]

Answer:

\boxed{\sf \ \ 9x^2-18x-7 \ \  divided \ by \ (3x+1) \ is \ (3x-7) \ }

Step-by-step explanation:

Hello,

let's find a and b reals so that

9x^2-18x-7=(3x+1)(ax+b)

(3x+1)(ax+b)=3ax^2+(3b+a)x+b

we identify the terms in x^2

   9 = 3a

we identify the terms in x

   -18 = 3b + a

we identify the constant terms

   -7 = b

so ti goes with a = 9/3 = 3, b = -7

so we can write

9x^2-18x-7=(3x+1)(3x-7)

so 9x^2-18x-7 \ divided \ by \ (3x+1) \ is \ (3x-7)

hope this helps

8 0
3 years ago
What is (2.5 x 10 to the third power) (6 x 10 to the fourth power)
Gelneren [198K]

Answer:

2,500) (60,000

brain pls

Step-by-step explanation:

5 0
2 years ago
Express the following numbers as a product of their prime factors <br> 24<br> Please show working
Studentka2010 [4]

Answer:

2 x 2 x 2 x 3

Step-by-step explanation:

Find two numbers that multiply together to form 24:

2 x 12 = 24

Find two numbers that multiply together to form 12, a factor of 24. Replace 12 with these numbers:

2 x (2 x 6) = 2 x 12 = 24

Find two numbers that multiply together to form 6, a factor of 12. Replace 6 with these numbers:

2 x (2 x (2 x 3)) = 2 x (2x6) = 2 x 12 = 24

Two and three cannot be factored any further, therefore the prime factors of 24 are 2, 2, 2, and 3.

8 0
3 years ago
Standard Error from a Formula and a Bootstrap Distribution Sample A has a count of 30 successes with and Sample B has a count of
tia_tia [17]

Answer:

Using a formula, the standard error is: 0.052

Using bootstrap, the standard error is: 0.050

Comparison:

The calculated standard error using the formula is greater than the standard error using bootstrap

Step-by-step explanation:

Given

Sample A                          Sample B

x_A = 30                              x_B = 50

n_A = 100                             n_B =250

Solving (a): Standard error using formula

First, calculate the proportion of A

p_A = \frac{x_A}{n_A}

p_A = \frac{30}{100}

p_A = 0.30

The proportion of B

p_B = \frac{x_B}{n_B}

p_B = \frac{50}{250}

p_B = 0.20

The standard error is:

SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}

SE_{p_A-p_B} = \sqrt{\frac{0.30 * (1 - 0.30)}{100} + \frac{0.20* (1 - 0.20)}{250}}

SE_{p_A-p_B} = \sqrt{\frac{0.30 * 0.70}{100} + \frac{0.20* 0.80}{250}}

SE_{p_A-p_B} = \sqrt{\frac{0.21}{100} + \frac{0.16}{250}}

SE_{p_A-p_B} = \sqrt{0.0021+ 0.00064}

SE_{p_A-p_B} = \sqrt{0.00274}

SE_{p_A-p_B} = 0.052

Solving (a): Standard error using bootstrapping.

Following the below steps.

  • Open Statkey
  • Under Randomization Hypothesis Tests, select Test for Difference in Proportions
  • Click on Edit data, enter the appropriate data
  • Click on ok to generate samples
  • Click on Generate 1000 samples ---- <em>see attachment for the generated data</em>

From the randomization sample, we have:

Sample A                          Sample B

x_A = 23                              x_B = 57

n_A = 100                             n_B =250

p_A = 0.230                          p_A = 0.228

So, we have:

SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}

SE_{p_A-p_B} = \sqrt{\frac{0.23 * (1 - 0.23)}{100} + \frac{0.228* (1 - 0.228)}{250}}

SE_{p_A-p_B} = \sqrt{\frac{0.1771}{100} + \frac{0.176016}{250}}

SE_{p_A-p_B} = \sqrt{0.001771 + 0.000704064}

SE_{p_A-p_B} = \sqrt{0.002475064}

SE_{p_A-p_B} = 0.050

5 0
3 years ago
Whoever answers first ill mark brainlist
aivan3 [116]

Answer:

∠S = 19°

Step-by-step explanation:

Since all angles in a triangle add up to 180°, we must first find how much is left.

<em>180 - 142 = 38</em>

And since we know that the two lines are congruent, we know that the two other angles will be the same. So we divide the remaining by 2

<em>38 ÷ 2 = 19</em>

So both other angles are 19° meaning that ∠S is 19°

Hope this was helpful!

8 0
2 years ago
Read 2 more answers
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