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3 years ago

What is the variation constant for an inverse squared relationship where we know x = –4 and y = 3?

Mathematics

1 answer:

Ymorist [56]3 years ago

8 0

Answer:

It's B.

Step-by-step explanation:

y = k /x^2

3 = k / (-4)^2

3 * 16 = k

k = 48.

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Find the solution of the system of equations. x-y=-3 -8x+y=45

mezya [45]

Answer:

x = 17, y = 28

Step-by-step explanation:

1. Isolate for x in "x - y = -3, -8":

x - y+y = -3, -8+y

x = -11 + y

2. Substitute "x = -11 + y" in for x in the second expression:

-11 + y + y = 45

3. Simplify:

-11 + 2y = 45

4. Isolate y:

-11+11 +2y = 45+11

2y = 56

$\frac{2y}{2} = \frac{56}{2}$

y = 28

5. Substitute the new y-value into the first equation:

x = -11 + 28

x = 17

hope this helps!

5 0

2 years ago

Help! What is the cost of 50 shares of stock priced at $15.87.

lozanna [386]

$793.50, All you do is multiply $15.87 by 50

3 0

3 years ago

Solve for 2: 7x + 156° 9x + 184°

Natalija [7]

Answer:

x = -14

Step-by-step explanation:

Simplifying

7x + 156 = 9x + 184

Reorder the terms:

156 + 7x = 9x + 184

Reorder the terms:

156 + 7x = 184 + 9x

Solving

156 + 7x = 184 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

156 + 7x + -9x = 184 + 9x + -9x

Combine like terms: 7x + -9x = -2x

156 + -2x = 184 + 9x + -9x

Combine like terms: 9x + -9x = 0

156 + -2x = 184 + 0

156 + -2x = 184

Add '-156' to each side of the equation.

156 + -156 + -2x = 184 + -156

Combine like terms: 156 + -156 = 0

0 + -2x = 184 + -156

-2x = 184 + -156

Combine like terms: 184 + -156 = 28

-2x = 28

Divide each side by '-2'.

x = -14

Simplifying

x = -14

3 0

3 years ago

Elena and Jada are 25 miles apart when they start moving toward each other. Elena runs at a constant speed of 6 mph and Jada wal

Setler [38]

Answer:

The Time taken by Elena and Jade to meet up is 2.5 hours

Explanation:

Given,

Elena moves with a speed of 6mph while Jada walks at a speed of 4 mph

Also, Distance can be calculated by the formula

$Distance = Speed * Time$

To find out the Total speed, i.e., speed of both Elena and Jada as both of them are walking in opposite direction we should add the speed of both the persons, if in same direction we should subtract the values

Here it will be: $6 + 4$ = 10mph

Distance apart is given as 25 miles. Substituting the values,

$Distance = Speed * Time$

25 = $10 * time$

Time = 25/10

Time = 2.5 hour

Hence, It will take 2.5 hours to meet up.

3 0

3 years ago

Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, state the population

eimsori [14]

Answer:

Yes, The analysis involves a statistical test.

The hypothesis are $H_0: \mu_R = \mu_L,\ and\ H_A: \mu_R < u_L$

Step-by-step explanation:

Consider the provided information.

Testing 500 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.

Yes, The above analysis involves a statistical test.

Where claim is right hand reacts faster than the left hand.

If right hand reacts faster that means the reaction time of right hand should be smaller than the reaction time of left hand.

Let $\mu_R$ to be the average reaction time of their right hands for the right-handed participants and $\mu_L$ to be the average reaction time of their left hands.

Therefore, the hypothesis are $H_0: \mu_R = \mu_L,\ and\ H_A: \mu_R < u_L$

3 0

3 years ago