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lara [203]
3 years ago
13

Y(a - b) = c(y + a);y

Mathematics
2 answers:
Alexandra [31]3 years ago
8 0

​

Step-by-step explanation:

3x + 2y = 8

2y= -3x+8

y= -3/2x+4

so the answer is m= -

m=− 2

       3

​

katovenus [111]3 years ago
8 0
Xhudidssisuudusususksj
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What is the sum of infinity sigma n = 1 2 (1.5)^n-1
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Answer:

S= 5/2

Step-by-step explanation:

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3 years ago
Which of the following is the equation of a line that has a slope of -2 and passes through the
KATRIN_1 [288]

Answer:

B. y = -2x + 8

Step-by-step explanation:

So the slope is the number that comes before the x, and if the slope is -2, that means the number before is -2, and it is.

And to know if it goes through (1, 6), put those numbers into the equation and see if they match up (x is the y-intercept)

6 = -2(1) + x

6 = -2 + x

x = 8

The one with both of these is B, which means B is the answer

3 0
3 years ago
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slamgirl [31]

Answer:

the answer is 96

Step-by-step explanation:

(-10)^{2}- 9(\frac{1}{3} )^{2}-3

100-\frac{9}{9}-3

100-1-3

96

6 0
3 years ago
A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exc
den301095 [7]

Step-by-step explanation:

Population Mean (u) = 3.50

Sample (n)= 36

Sample mean (x) = 3.60

Population standard deviation (s)= 0.40

Test statistics:

(Null hypothesis) H0: u= 3.5 (Population mean is equal to 3.5)

(Alternate hypothesis) H1: u> 3.5 (Population mean is greater than 3.5)

Z= \frac{x-u}{\frac{s}{\sqrt{n} } }= \frac{3.60-3.50}{\frac{0.4}{\sqrt{36} } }= \frac{0.10}{0.067}= 1.5

critical value= Z0.05= 1.645 (From Z table)

Since, Z value is less than critical Z value that is Z<1.645

We cannot reject null hypothesis

So, we decide to reject that the mean GPA of graduates exceeds 3.50

3 0
3 years ago
4. The directrix of the parabola 12(y + 3) = (x-4)2 has the equation y=-6. Find the coordinates of
Sveta_85 [38]

The coordinates of the focus of the parabola are (4 , 0)

Step-by-step explanation:

The standard form of the equation of the parabola is  

(x - h)² = 4p(y - k), where

  • The vertex of the parabola is (h , k)
  • The focus is (h , k + p)
  • The directrix is at y = k - p

∵ The equation of the parabola is 12(y + 3) = (x - 4)²

 - The form of the equation is (x - h)² = 4p(y - k), compare

    between them to find h, k and p

∴ h = 4

∵ - k = 3

- Multiply both sides by -1

∴ k = -3

∵ 4p = 12

- Divide both sides by 4

∴ p = 3

∵ The coordinates of the focus are (h , k + p)

∵ h = 4 , k = -3 , p = 3

∴ k + p = -3 + 3

∴ k + p = 0

∴ The focus is (4 , 0)

The coordinates of the focus of the parabola are (4 , 0)

Learn more:

You can learn more about the equation of the parabola in brainly.com/question/9390381

#LearnwithBrainly

5 0
3 years ago
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