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9966 [12]
3 years ago
6

Write an equation of the direct variation that includes the given point (-8, -4)

Mathematics
2 answers:
LekaFEV [45]3 years ago
8 0
<span>إذا قمت بإضافة كل هذا حتى تحصل على 7X و 3y للإحداثيات الخاصة بك</span>
True [87]3 years ago
4 0
Write an equation of the direct variation that includes the given point (-8, -4)
Direct variation is y= kx for some constant k

Find k using the point (-8,-4)

y=kx
(-4)=k(-8) substitution
-4/-8=k(-8/-8) division property
1/2=k

equation of direct variation is y=1/2k
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if venus is 30.9 mi farther from the sun than mercury, the the earth is 23.6 mi farther from the sun than venus. when the total
luda_lava [24]

Answer: The mercury is 38 mi far from sun.

Step-by-step explanation:

Let x denotes the distance ( in mi )between the Sun and Mercury .

Distance from Venus to Sun = x+30.9

Distance from Earth = x+30.9+ 23.6 =x+30.9+ 23.6 =x+54.5

When the total of the distances for these plants from the sun is 199.4 mi.

According to the given statements , we have

x+x+30.9+x+54.5=199.4

3x+85.4=199.4

3x=199.4-85.4=114

x=38 [Divide both sides by 3]

Hence, the mercury is 38 mi far from sun.

6 0
3 years ago
What is the name of the algebraic expression​
denis23 [38]

Answer:

There are 3 main types of algebraic expressions which include: Monomial Expression. Binomial Expression. Polynomial Expression.

6 0
2 years ago
Hector invests $10,000 at age 21. He hopes the investments will be worth $150,000 when he turns 50. If the interest compounds co
Slav-nsk [51]

Answer:

9.33%

Step-by-step explanation:

Step one:

given

Principal= $10,000

Final amount = $150,000

time = 50-21= 29 years

Required

The rate

Step two:

to solve for the rate we can apply the formula for rate as

r = ln(A/P) /t

r= ln(150000/10000)/29

r= ln(15)/29

r=2.7080502011/29

r=0.0933

r= 0.0933*100

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5 0
3 years ago
Hector helps out at an animal shelter. One of his jobs is to track the weights of the puppies. He recorded the number of ounces
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6 0
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You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether t
antiseptic1488 [7]

Answer:

The statistical conclusion is:

a) Your results are significant; one's willingness to wear masks is not independent of one's age.

Step-by-step explanation:

From this experiment,

The null hypothesis is established as:

H 0 = one's willingness to wear masks is independent of one's age.

The alternate hypothesis is established as:

H 1 = one's willingness to wear masks is not independent of one's age.

In statistics, if the absolute value of the test statistic is greater than the critical value, we declare statistical significance and reject the null hypothesis.

Since the test statistic = 16.5, which is higher than the critical value of 7.82, this establishes statistical significance.  Thus, the null hypothesis is rejected.

Therefore, the statistical conclusion is that one's willingness to wear masks is not independent of one's age.

7 0
3 years ago
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