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3 years ago

Y varies directly as x squared. y is 18 when x is 3. Find y if x is 4. Any help? thanks

Mathematics

1 answer:

stealth61 [152]3 years ago

4 0

Answer:

Step-by-step explanation:

y ∝ x^2

Introducing the proportionality constant, we have

y = kx^2

Given : y= 18 when x = 3

substitute the given values in order to get the constant

i.e 18 = k x 3^2

18 = 9k

k = 2

therefore the formula connecting x and y

⇒ y = 2x^2

To find y if x is 4, just substitute x = 4 into the formula connecting x and y

i.e y = 2 x 4^2

= 2 x 16

= 32

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Ariane borrows $300 on a 5−year loan. She is charged 5% simple interest per year. How much interest is she charged for 5 years?

AnnyKZ [126]

Answer:

Interest = $75

Total to pay back = $375

Step-by-step explanation:

The total amount she will have to pay back is found by the formula:

= Amount borrowed * (1 + rate * years)

= 300 * ( 1 + 5% * 5)

= $375

The interest is therefore:

= Amount to be paid back - Amount borrowed

= 375 - 300

= $75

6 0

3 years ago

Can someone please help I need a clear explanation on how to solve this equation.

nikitadnepr [17]

B = amount of students who chose Bulldog

n = amount of students who chose lion

t = amount of students who chose tiger

so.. "t" chose tiger, ok

"Four times as many students chose Bulldog as chose Tiger"
namely, if "t" chose tiger, then 4 times that many chose Bulldog, thus

b = 4t

"Twice as many students chose Lion as chose Tiger"
namely, if "t" students chose tiger, twice as many chose lion

n = 2t

now, we know a total of 273 students were surveyed, thus

 $\bf \begin{cases}
b+n+t=273\\
\boxed{4t}+\boxed{2t}+t=273
\end{cases}
\\\\\\
7t=273\implies t=\cfrac{273}{7}\impliedby \textit{that many chose \underline{tiger}}$

6 0

3 years ago

Read 2 more answers

Find the solution set of this inequality. Select the correct graph. |-8x+4|>12

scoundrel [369]

Answer:

The first option is correct

Step-by-step explanation:

Hope it is helpful....

3 0

2 years ago

ms. Rao buys a computer, a printer, and a scanner for $2543. the computer cost $1502 more than the printer. the printer costs $1

Mazyrski [523]

This question involves a system of equations.

for the variables we will use c for computer, p for printer, and s for scanner.

in order to solve a system of equations, we need to solve one variable, so we will just pick c because we are solving for the computer.

when we set up the
equation, we need to convert all the variables into an applicable form of c, since that is the variable we are solving for. we can do this because we have information on how the other variables differ on c.

so we get these translations:

c = c
p = c - 1502
s = p - 123

however, the scanner is not translated to c yet, it is translated into p, but we know p can translate into c, so we plug in the equation for p as so:

s = (c - 1502) - 123

which translates to

s = c - 1625

now we have

c = c
p = c - 1502
s = c - 1625

now that we have the translations, we have to use the original equation given to us which is

c + p + s = 2543

which, with our translations can be said as

c + (c - 1502) + (c - 1625) = 2543

which simplifies to

3c - 3127 = 2543.

now, we add 3127 to both sides to get

3c = 5670

then, we divide 3 to both sides to get

c = 1890

so the computer costs 1890.

if you want to find the price for the printer and scanner, simply take c and plug it in to the other equations as so.

p = 1890 - 1502 (388)
s = 1890 - 1625 (265)

6 0

3 years ago

HELP HELP--Given an equilateral triangle, what kind of symmetry will the figure have: point, line, plane. (Select all that apply

Salsk061 [2.6K]

Answer:

line and point

Step-by-step explanation:

a triangle can be equally split in half, as well as with a point in the middle

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3 years ago

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Y varies directly as x squared. y is 18 when x is 3. Find y if x is 4. Any help? thanks ​

Y varies directly as x squared. y is 18 when x is 3. Find y if x is 4. Any help? thanks