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3 years ago

Find the slope between (1,-19) and (-2,7)

Mathematics

2 answers:

DanielleElmas [232]3 years ago

8 0

Answer
4

Explanation
(1,19) (-2,7)
7-19=-12
-2-1=-3
The divide -12 and -3 and you get 4
Hope this helps

aliina [53]3 years ago

6 0

Answer:

m= -26/3

Step-by-step explanation:

I used an app called "M a t h w a y " (with no spaces) you should use it

it is very helpful!

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A study of 35 golfers showed that their average score on a particular course was 92. The sample standard deviation was 5. We wan

svlad2 [7]

Answer:

$t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$

Step-by-step explanation:

We have a sample of size n = 35, $\bar{x} = 92$ and $s = 5$ . As we want to construct a 95% confidence interval to estimate the value of the true population mean $\mu$ , we should use the pivotal quantity given by $T = \frac{\bar{X}-\mu}{S/\sqrt{n}}$ which comes from the t distribution with n - 1 = 35 - 1 = 34 degrees of freedom. Besides we should use the t-value $t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$ , i.e., regarding the t-distribution with 34 degrees of freedom, we have an area of 0.025 above 2.0322 and below the probability density function. The rationale behind this is that $P(-2.0322\leq T\leq 2.0322) = 0.95$ because of the simmetry of the t distribution.

7 0

2 years ago

Solve the inequality 2ax-3<4x+5a for all possible values of the parameter a

olga_2 [115]

Answer:

Step-by-step explanation:

2ax−3<4x+5a

Step 1: Add -5a to both sides.

2ax−3+−5a<5a+4x+−5a

2ax−5a−3<4x

Step 2: Add 3 to both sides.

2ax−5a−3+3<4x+3

2ax−5a<4x+3

5 0

2 years ago

The Students' Conjectures Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Po

noname [10]

Complete Question:

Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

Answer:

$A = B$

Step-by-step explanation:

See comment for complete question

Given

$A: (4x^2 - 4x)(x^2 - 4)$

$B: (x^2 + x - 2)(4x^2 - 8x)$

Required

Determine how they can show if the products are the same or not

To do this, we simply factorize each polynomial

For, Polynomial A: We have:

$A: (4x^2 - 4x)(x^2 - 4)$

Factor out 4x

$A: 4x(x - 1)(x^2 - 4)$

Apply difference of two squares on x^2 - 4

$A: 4x(x - 1)(x - 2)(x+2)$

For, Polynomial B: We have:

$B: (x^2 + x - 2)(4x^2 - 8x)$

Expand x^2 + x - 2

$B:(x^2 + 2x - x - 2)(4x^2- 8x)$

Factorize:

$B:(x(x + 2) -1(x + 2))(4x^2- 8x)$

Factor out x + 2

$B:(x -1) (x + 2)(4x^2- 8x)$

Factor out 4x

$B:(x -1) (x + 2)4x(x- 2)$

Rearrange

$B: 4x(x - 1)(x - 2)(x+2)$

The simplified expressions are:

$A: 4x(x - 1)(x - 2)(x+2)$ and

$B: 4x(x - 1)(x - 2)(x+2)$

Hence, both polynomials are equal

$A = B$

3 0

2 years ago

What are the max/min values of the following equation?

sashaice [31]

What I think is t.....

8 0

3 years ago

What is the solution to the system of equations? y = 1/3x – 10 2x + y = 4

Mekhanik [1.2K]

Y = 1/3 x - 10 . . . (1)
2x + y = 4 . . . . . (2)

Putting (1) into (2) gives
2x + 1/3 x - 10 = 4
7/3 x = 4 + 10 = 14
x = (3 x 14)/7 = 3 x 2 = 6
x = 6

From (1), y = 1/3 (6) - 10 = 2 - 10 = -8
y = -8

7 0

3 years ago