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2 years ago

A lil help , What is g(h(10))?

Mathematics

1 answer:

PIT_PIT [208]2 years ago

6 0

Answer:

2√2

Step-by-step explanation:

Given

g(x) = ✓(x - 4)

h(x) = 2x - 8

Now

g(h(10))

= g ( 2 * 10 - 8)

= g(20-8)

= g(12)

=✓(12 - 4)

= ✓8

=2√2

Hope it will help ✓

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Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. How many cups, x,

siniylev [52]

Answer:

18 cups.

Step-by-step explanation:

We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: $20\leq 1.50x-6.50$ .

To find number of cups x to make a profit of at least $20 we will use our given inequality.

$20\leq 1.50x-6.50$

$20+6.50\leq 1.50x$

$26.50\leq 1.50x$

$x\geq \frac{26.50}{1.50}$

$x\geq \frac{53}{3}$

$x\geq 17.6666666$

Therefore, in order to make a profit of at least $20 Bernie need to sell 18 cups of lemonade.

5 0

3 years ago

There are about 10^24 stars in the universe. Each galaxy has approximately the same number of stars as the Milky Way Galaxy. Abo

maks197457 [2]

Answer:

$10^{13}$ galaxies.

Step-by-step explanation:

There are about $10^{24}$ stars in the universe.

The Milky Way galaxy $10 * 10^{10}$ stars.

All we need to do to find the number of galaxies is to divide the total number of stars in the universe by the number of stars in the Milky Way:

Number of galaxies = (Number of stars in the universe) / (Number of stars in the Milky Way)

Number of galaxies = $\frac{10^{24}}{10 * 10^{10}}$

N = $\frac{10^{24}}{10^{11}}$

N = $10^{24 - 11} = 10^{13}$

The number of galaxies in the universe is approximately $10^{13}$ .

7 0

3 years ago

Please help me out if appreciate it :)

12345 [234]

Answer:

Step-by-step explanation:

they are congruent so they are equal to eachotjer

4 0

2 years ago

A system of linear equations has been graphed in the diagram. determine a reasonable solution for the system of equations.

Grace [21]

Answer:

(1,-1)

Step-by-step explanation:

The solution to a system of equation means the x and y values if we were to solve both equations (of lines) simultaneously.

That is also known as the intersecting points.

The top-right part is known as the 1st Quadrant in a coordinate system.

Top-left is 2nd Quadrant.

Bottom left is 3rd Quadrant.

Bottom right is 4th Quadrant.

The values of x and y (positive or negative) of each quadrant is shown below:

Quadrant 1: x +ve, y +ve
Quadrant 2: x -ve, y +ve
Quadrant 3: x -ve, y -ve
Quadrant 4: x +ve, y -ve

The intersection point (solution) of the 2 lines shown is in the 4th quadrant, which has x values positive and y values negative.

From the answer choices, we see that 3rd answer choice goes with this -- (1,-1), so this is the correct choice.

4 0

2 years ago

TIME REMAINING

ollegr [7]

Answer:

(b) (x -10)(x +10)

Step-by-step explanation:

The factorization of the difference of squares is a special form:

a² -b² = (a -b)(a +b)

<h3>Application</h3>

Your expression is recognizable as the difference of squares:

x² -100 = x -10²

Using the above form, the factorization is ...

= (x -10)(x +10) . . . . . . . . matches the second choice

7 0

1 year ago