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Diano4ka-milaya [45]
3 years ago
8

Please show me how you got the answer thanks in advance:) please someone help me !!!

Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0
If we first identify our variables, x will be the larger number and y will be the smaller number. We can now identify our equations. 
x=1000+2y
x-y=9000

I now have a system of equations, so I can solve for x and y.

1000+2y-y=9000
y=8000
x-8000=9000
x=17000
The larger number is 17000 and the smaller number is 8000.
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Write the equation of the line passing through the points (6,2) and (-2,-2)
-BARSIC- [3]

Answer:

we are going to need a chart so we can show our work to

Step-by-step explanation:

7 0
2 years ago
Find the vertex of the parabola.
7nadin3 [17]

Answer:

C: (3,1)

Step-by-step explanation:

y = -4x² + 24x - 35

y = -4(x² - 6x) - 35

y = -4[x² - 2(x)(3) + 3² - 3²] - 35

y = -4(x - 3)² -4(-9) - 35

y = -4(x - 3)² + 36 - 35

y = -4(x - 3)² + 1

Vertex (3,1)

7 0
3 years ago
Determine the slope of the line that passes through the points (5,7) and (-1,9).
oee [108]

Hey!

------------------------------------------------

Slope Formula: m = \frac{y2 - y1}{x2 - x1}

------------------------------------------------

Solution:

m = \frac{y2 - y1}{x2 - x1} \\m = \frac{9 - 7}{-1 - 5}\\m = \frac{2}{-6} \\m = \frac{1}{-3}

------------------------------------------------

Answer:

\large\boxed{-\frac{1}{3} }

------------------------------------------------

Hope This Helped! Good Luck!

4 0
3 years ago
g A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are he
stira [4]

Answer:

Step-by-step explanation:

Corresponding heights of presidents and height of their main opponents form matched pairs.

The data for the test are the differences between the heights.

μd = the​ president's height minus their main​ opponent's height.

President's height. main opp diff

191. 166. 25

180. 179. 1

180. 168. 12

182. 183. - 1

197. 194. 3

180. 186. - 6

Sample mean, xd

= (25 + 1 + 12 - 1 + 3 + 6)/6 = 5.67

xd = 5.67

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (25 - 5.67)^2 + (1 - 5.67)^2 + (12 - 5.67)^2+ (- 1 - 5.67)^2 + (3 - 5.67)^2 + (- 6 - 5.67)^2 = 623.3334

Standard deviation = √(623.3334/6 sd = 10.19

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 6 - 1 = 5

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (5.67 - 0)/(10.19/√6)

t = 1.36

We would determine the probability value by using the t test calculator.

p = 0.12

Since alpha, 0.05 < than the p value, 0.12, then we would fail to reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that for the population of heights for presidents and their main​ opponents, the differences have a mean greater than 0 cm.

5 0
3 years ago
14) A blizzard produced 9 - inches of snow. The
Arisa [49]

Answer:

2 3/8 in.

Step-by-step explanation:

9\frac{1}{2}-7\frac{1}{8}\\\\9\frac{4}{8}-7\frac{1}{8}\\\\2\frac{3}{8}

5 0
3 years ago
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