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3 years ago

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What is the difference of perfect square roots and non perfect square roots

1 answer:

Rasek [7]3 years ago

3 0

Answer:

perfect square roots is when you have two of the same number that if you multiply them you get it. Example: the square root of 36 is six, because six times another six is 36- so 36 is a perfect square root number. 20 doesn't have a perfect square root because there are no two of the same numbers that will get you 20.

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The Lakeside Marina charges a $35 rental fee for a boat in addition to charging $15 per hour. What is the rate of change for thi

IgorC [24]

Answer:

I think that it is y=15x+35

Step-by-step explanation:

15*x is how many hours and you have to pay $35 regardless to rent the boat

4 0

3 years ago

What is the vertex of the quadratic function y=-x²+6x+7?

vichka [17]

Answer:

(3,16)

Step-by-step explanation:

Factor the equation to find out that the roots are 7 and -1. The vertex's x will be in the center of these two points, so the center point between 7 and -1 is 3. Continue to substitute the x in the equation with 3 to get the other coordinate for vertex.

6 0

3 years ago

Simplify the ratio of 35:14

Shalnov [3]

Step-by-step explanation:

35 : 14

Divide by 7

5 : 2

We cannot divide it further so the answer is 5 : 2

3 0

4 years ago

Antonio wants to invest $7600 in a saving account. Determine the interest rate (simple interest) required for Antonio’s investme

disa [49]

<h3>Interest rate required for Antonio’s investment to double in value in 12 years is 8.3 % per annum</h3>

<em><u>Solution:</u></em>

Given that,

Antonio wants to invest $7600 in a saving account

Antonio’s investment to double in value in 12 years

To find: Rate of interest

<em><u>The total amount using simple interest is given as:</u></em>

$A = p(1+\frac{r}{100}t)$

Where,

p is the principal

r is the rate of interest

t is the number of years

From given,

p = 7600

t = 12 years

r = ?

Antonio’s investment to double

Therefore,

A = 2(7600) = 15200

<em><u>Substituting the values we get,</u></em>

$15200 = 7600(1 + \frac{r}{100} \times 12)\\\\\frac{15200}{7600} = 1 + 0.12r\\\\2 = 1 + 0.12r\\\\0.12r = 2 - 1\\\\0.12r = 1\\\\r = 8.333 \%$

$r \approx 8.3 \%$

Thus interest rate required for Antonio’s investment to double in value in 12 years is 8.3 % per annum

7 0

4 years ago

Solve for the equation, show all your work. This is an absolute value equation. You need to show both equations and the work for

VMariaS [17]

Answer:

$x=-1$ or $7$

Step-by-step explanation:

We use casework on when $3x-9=12$ and when $3x-9=-12$ .

For the first case, $3x-9=12$ , we add 9 to both sides to get

$3x=21$ .

Dividing both sides by 3 gives

$x=7.$

For the second case, $3x-9=-12$ , we add 9 to both sides to get

$3x=-3$ .

Dividing both sides by 3 gives

$x=-1$ .

Checking both cases, we plug in $x=7$ and $x=-1$ .

For the first case, we have $|3(7)-9|=|21-9|=|12|=12$ , which satisfies the equation.

For the second case, we have $|3(-1)-9|=|-3-9|=|-12|=12$ , which also satisfies the equation.

This gives us two solutions to the equation; $x=7$ and $x=-1$ .

4 0

2 years ago