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eduard
2 years ago
6

Can someone please help me with this question

Mathematics
1 answer:
anastassius [24]2 years ago
4 0
A we can eliminate y by adding the two equations
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Which equation represents a proportional relationship?
elixir [45]

Answer

y=2/3

Step-by-step explanation:

between two variables when their ratios are equivalent

6 0
2 years ago
1. A ball's position, in meters, as it travels every second is represented by the position function s(t) = 4.9t2+ 450.
bezimeni [28]
1) The ball's position is described by:
s(t) = 4.9t² + 450
We want to find the velocity, which is the 1st-order derivative of the displacement function (I assume this is an introductory calculus class)
s'(t) = v(t) = 9.8t           
We get this by multiplying 4.9 x 2 and reducing the exponent by 1. Now we simply plug 5 in for t.
v(5) = 9.8* 5
v(5) = 49m/s

2) Our cost function is C(x) = x² - 10,000
To find the average rate of change between these units, we use this formula:
( C(101) - C(100) ) ÷1 .
We find the change in C, and divide by the change in x, which is just one. 
C(101) = 101² - 10,000
C(101) = 201

C(100) = 100² - 10,000
C(100= 0

C(101) - C(100) = 201 
Average rate of change in cost is 201 dollars/ unit between the two points. 
7 0
3 years ago
-2 -13.8x = -8 -(6x+1)
Varvara68 [4.7K]
-2 -13.8x = -8 -6x -1
First, I distributed the negative 1 that was outside of the parentheses to the positive 6x and the positive 1.

-2 -13.8x = -9 -6x
Then I added the negative 8 to the negative 1 which equals negative 9.

-2 -13.8x +6x = -9 -6x +6x
After that I used the addition property and added a positive 6x to both sides.

-2 -7.8x = -9
Then simplifying.

+2 -2 -7.8x = -9 +2
After simplifying, I used the addition property again, adding a positive 2 to both sides.

-7.8x = -7
Simplified.

-7.8x (-1) = -7 (-1)
Then I multiplied both sides by with a negative 1 since the variable cannot be a negative.

7.8x = 7
Simplified

(1/7.8) 7.8x = (1/7.8) 7
Then, to isolate the veriable, I multiplied 1/7.8 to both sides.

x = 1.11428571429
The answer !

I hope this helped !
7 0
3 years ago
You want to test the claim that the average age of students at Gorka College is greater than the average age of students at Yapo
777dan777 [17]

Answer:

Kindly check explanation

Step-by-step explanation:

The hypothesis :

H0 : μ1 = μ2

H1 : μ1 > μ2

Given :

x1 = 21.1 ; n1 = 53 ; s1 = 1.1

x2 = 20.7 ; n2 = 46 ; s2 = 1.2

The test statistic :

(x1 - x2) / √[(s1²/n1 + s2²/n2)]

(21.1 - 20.7) / √[(1.1²/53 + 1.2²/46)]

0.4 / 0.2326682

Test statistic = 1.719

The degree of freedom using the conservative method :

Comparing :

Degree of freedom = n - 1

Degree of freedom 1 = 53 - 1 = 52

Degree of freedom 2 = 46 - 1 = 45

Smaller degree of freedom is chosen ;

The Pvalue from Test statistic, using df = 45

Pvalue = 0.0462

Pvalue < α ; Hence, there is significant evidence to conclude that average age of Gorka student is higher than Yaphoa.

7 0
3 years ago
Dave has 8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly. How much money wi
Lynna [10]

Answer: he will have $12720 after 15 years

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $8000

r = 3.1% = 3.1/100 = 0.031

n = 12 because it was compounded 12 times in a year.

t = 15 years

Therefore,

A = 8000(1 + 0.031/12)^12 × 15

A = 8000(1 + 0.00258)^180

A = 8000(1.00258)^180

A = $12720

4 0
3 years ago
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