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andrew-mc [135]
3 years ago
7

Write an equation of the line that passes through the points (1,-4) and (-1,3) in point slope form and then in slope intercept f

orm
Mathematics
1 answer:
Anna71 [15]3 years ago
7 0

Answer:

point slope form: y-(-4)=-3(x-1)

Slope intercept form: y=-3x-3

Step-by-step explanation:

Point slope form formula: y-y1= m(x-x1)

(1,-4), (-1,3)

Slope formula x2-x1/ y2-y1

Plug in the information 3-(-4)/-1-1

Simplify: 6/-2 or -3

Use one of the coordinates for the equation: y-(-4)=-3(x-1)

I used the first coordinate.

Slope intercept form formula: y=mx+b

Slope=-3

Plug in information: y= -3x+b

To find b, plug in one of the coordinates.

-4=-1+b, subtract to isolate b

b=-3

Your equation: y=-3x-3

Hope this helps!

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Give the discriminant of the equation 0 = −x2+6x−9<br>please answer
Brut [27]

Answer:

x = 3

Steps:

- ( {x}^{2}  - 6x + 9) = 0

-  {(x - 3)}^{2}  = 0

{(x - 3)}^{2}  = 0

x - 3 = 0

There you go!

8 0
3 years ago
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 335335 babies were​ born
strojnjashka [21]

Answer:

The 99​% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

Step-by-step explanation:

Confidence Interval for the proportion:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 335, \pi = \frac{268}{335} = 0.8

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.7437

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.8563

For the percentage:

Multiplying the proportions by 100.

The 99​% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

7 0
3 years ago
3x-8(2x+3)= -6(2x+5)
faust18 [17]
3x-16x-24=-12x-30
-13x+12x=-30+24
-x=-6   /*(-1)
x=6
7 0
3 years ago
Read 2 more answers
Convert 5/4 into a decimal
dimaraw [331]

Answer:

Step-by-step explanation:

The answer is 1.25

3 0
3 years ago
Thomas runs 34 of a mileevery day for 5 days. Howfar has he run total?
STALIN [3.7K]

Guven:

Miles per day = 34 miles

Number of days = 5 days

To find the total distance(miles), we have:

Total distance = distance covered per day x Number per days

= 34 x 5 = 170 miles

Therefore, the total distance he has covered is 170 miles

ANSWER:

170 miles

4 0
1 year ago
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