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3 years ago

Supoose y varies directly with x. If y=6 when x=-2, find x when y=15

Mathematics

1 answer:

kirill [66]3 years ago

7 0

Answer:

When y = 15, x = -5.

Step-by-step explanation:

"y varies directly with x" signifies the linear relationship y = kx, where k is the constant of proportionality.

Substituting 6 for y and -2 for x into this equation yields the value of k:

6 = k(-2), or k = -6/2, or k = -3

Then the proportional relationship is y = -3x.

If y = 15, then we can write 15 = -3x, or x = -15/3, or x = -5.

When y = 15, x = -5.

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Solve the equation: (x − 4)(x − 3) = 0

trasher [3.6K]

Answer:

x=4, x=3

Step-by-step explanation:

This is most often the format taken from the polynomial form of this problem, which is x^2-7x+12, and when it is in this format you just take each set of numbers within each parenthesis and set it to zero, then solve. In this case, x can be equal to either 3 or 4.

8 0

2 years ago

Haley has enlarged a 3-inch by 5-inch picture so that both the length and width are tripled. The area of the enlarged photo is h

77julia77 [94]

Answer:

9 times

Step-by-step explanation:

Area = length x breadth

area of picture not enlarged = 3 x 5 = 15in²

If length is tripled it becomes , 3 x 3 = 9in

If width is tripled, it becomes , 5 x 3 = 15in

Area of enlarged picture = 9in x 15in = 135in²

amount by which enlarged image is larger = 135in² /15in² = 9

5 0

2 years ago

Which number should each side of the equation 3/4 = 9 be multiplied by to produce the equivalent equation of x = 12?

Tema [17]

You need to multiply both sides of the equation by the reciprocal of 3/4. The reciprocal is 4/3 and 4/3 multiplied by 9 = 12. So x = 12 because a number times the reciprocal is one.

6 0

3 years ago

Read 2 more answers

A parabola has its vertex at (-6, 5) and focus at (-6.25, 5). Which of the following is an equation for this parabola?

Pavlova-9 [17]

Answer:

Step-by-step explanation:

vertex and focus are horizontally aligned, so parabola is horizontal.

focal length p = distance between focus and vertex = 0.25

focus lies to the left of vertex, so the parabola opens to the left.

x = a(y-k)² + h,

vertex (h,k)

a = -1/(4p)

vertex (-6,5)

h = -6

k = 5

p = 0.25

a = -1/(4·0.25) = -1

x = -(y-5)² - 6

6 0

2 years ago

A series of quarterly payments of P1,300 each at the first payment is due at 4 years, and the last payment at the end of 12 year

gtnhenbr [62]

Answer:

The Value of Payments is P18,557.15

Step-by-step explanation:

The quarterly payment is an annuity payment.

Use the following formula to calculate the present value of the payments.

PV of Annuity = Annuity Payment x ( 1 - ( 1 + interest rate )^-Numbers of periods ) / Interest rates

Where

Annuity Payment = Quarterly payment = P1,300

Interest rate = 5.12% x 3/12 = 1.375%

Numbers of periods = 4 years x 12/3 = 16 quarters

PV of Annuity = Value of Payments = ?

Placing values in the formula

Value of Payments = P1,300 x ( 1 - ( 1 + 1.375% )^-16 ) / 1.375%

Value of Payments = P18,557.15

4 0

2 years ago