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3 years ago

Joe's summer camp had 81 attendees when it first opened and has grown by 92 attendees per year since then.

Mathematics

1 answer:

pychu [463]3 years ago

4 0

Answer:

A = 92y + 81

Step-by-step explanation:

Because A = number of attendees and if it adds 92 each year, you times the number of years by 92 and add 81 for the ones that were already there

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Solve 169x^2-42.25=0 by using square roots? NEED HELP!!!

jekas [21]

Answer:

x = 1/2 , x = -1/2

Step-by-step explanation:

Given equation;

169x² - 42.25

Find:

Solution of equation using square root

Computation:

169x² - 42.25

We know that 13² = 169 and 6.5² = 42.25

So,

[13x]² - [6.5]²

a² - b² = (a + b)(a - b)

So,

[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]

So,

13x + 6.5 = 0 , 13x - 6.5 = 0

x = 6.5 / 13 , x = -6.5 / 13

x = 1/2 , x = -1/2

5 0

2 years ago

How many zeros are in the standard form of 10 7 write this number in standard form

vodka [1.7K]

Answer:

There are 7 zeroes in the standard form of 10⁷

The number is: 10,000,000

Explanation:

A power represents how many times this number is multiplied by itself

For example:

x² means we will multiply x by itself 2 times (x * x)

x⁵ means we will multiply x by itself 5 times (x * x * x * x * x)

The standard form of a number means the number written with no powers

Now, the given number is 10⁷

This means that:

The number is 10 multiplied by itself 7 times

10⁷ = 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10000000 .........> standard form

We can observe that it has 7 zeroes

Hope this helps :)

8 0

3 years ago

Abby needs to take a taxi to go to the movies, the taxi charges 4.00 flag fee for the pick up and then 2.75 for each mile driven

AlexFokin [52]

Answer:

6 miles

Step-by-step explanation:

x = miles driven

4.00 + 2.75 * x = 20.50

2.75x = 20.50 - 4.00 = 16.50

x = 16.50/2.75 = 6 miles

5 0

2 years ago

After transforming f(x) = 2x² +4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex?

jolli1 [7]

The vertex is $(-1,1)$

Explanation:

The equation is $f(x)=2x^{2} +4x+3$

To find the vertex, we need the equation in the form of $f(x)=a (x-h)^{2}+k$

Dividing each term by 2 in the equation $f(x)=2x^{2} +4x+3$

$f(x)=2(x^{2} +2x+\frac{3}{2} )$

Now, completing the square by adding and subtracting 1, we get,

$f(x)=2(x^{2} +2x+1-1+\frac{3}{2} )$

The first three terms can be written as $(x+1)^{2}$ ,

$f(x)=2[(x+1)^{2}+\frac{1}{2} ]$

Multiplying 2 into the bracket, we get,

$f(x)=2(x+1)^{2} +1$

This equation is of the form $f(x)=a (x-h)^{2}+k$

Now, we shall find the vertex $(h,k)$

Thus, $h=-1$ and $k=1$

Thus, the vertex is $(-1,1)$

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3 years ago

How would you express the area of the rectangle using the Distributive Property?

Vsevolod [243]

Answer:

C. 3(x+5)

Step-by-step explanation:

hope this helps

3 0

2 years ago