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sergiy2304 [10]
3 years ago
7

Describe the 6 ways to transform a function.

Mathematics
1 answer:
GaryK [48]3 years ago
6 0
Translate it up, translate it down, translate it to the right, translate it to the left, stretch it vertically, stretch it horizontally
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Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an ini
Verizon [17]

Answer:

after 3 hours of instruction.

Step-by-step explanation:

First, start by setting up the equation.

Leda charges an initial fee, meaning this fee is only going to be one time. However, there is an hourly rate of 11. Since we do not know how many hours these piano lessons are going to last, we put a variable (I will use x), after this number.

The initial fee is 8.50. There needs to be a variable after 11 because that is the number we don't know.

The equation for Leda's lessons are <em>8.50+11.00x. </em>

Now, we need to find out what the equation for Thanh's lessons are going to be, because we're going to be setting both equations equal to each other to find out when they cost the same. At the moment both equal each other, is when they are the same amount.

Thanh's equation also has an intial fee and an hourly rate. So, the equation will be

<em>10.00+10.50x. </em>

Now we solve.

<em>8.50+11.00x = 10.00+10.50x </em>

First, subtract from both sides. We will do the numbers without variables first.

<em>8.50+11.00x = 10.00+10.50x </em>

<em>-8.50               -8.50 </em>

<em>____________________</em>

<em>0     +11.00x =   1.50 +10.50x</em>

Then, subtract the x's. (taking away the zero because it is equivalent to nothing)

<em>11.00x =   1.50 +10.50x</em>

<em>- 10.50x            -10.50x</em>

<em>__________________</em>

<em>0.50x = 1.50 </em>

Lastly, to find out the answer, we divide.

1.50/0.50= 3.

<u>To check your answer, you can plug into the original equation. </u>

<em>8.50+11.00 times 3 = 10.00+10.50 times 3 </em>

Both sides equal 41.50, meaning they are equal to each other!

7 0
3 years ago
Read 2 more answers
What is the constant of proportionality for m=32•g
lina2011 [118]

Answer:

∴ Constant of Proportionality is 32

Step-by-step explanation:

Here Given;

m=32\times g  (equation-1)

\frac{m}{g}=32  (equation-2) (divide with 'g' on both side)

We know,

The Constant of Proportionality equation is given;

y=k\times x  (equation-3)

Where 'k' is known as Constant of Proportionality.

Comparing equation-1 and equation-3;

y=m and x=g

Now equation-2 become;

k=\frac{y}{x}

Plug y=m and x=g in above equation;

\frac{m}{g}=k  (equation-4)

By comparing equation-2 and equation-4;

k=32

So Constant of Proportionality is 32

6 0
3 years ago
$12,800 at 12% for 3 years find the total amount ?
HACTEHA [7]

Answer:

so first you do

12800*.12 which is  1536

so $1536 for 1 year

for 3 years multiply it by 3

1536*3=

$4608

so 4608+12800 =

17408 is totall

Mark brainliest

5 0
3 years ago
Read 2 more answers
In Mrs. Trach’s class, 18 students prefer to do their homework before dinner. In Ms. Love-Benson's class, 20 students prefer to
deff fn [24]
Yes because in Mrs. Benson‘s class there are 20 students and in Mrs Tracy’s class there are only 18
5 0
3 years ago
Read 2 more answers
I can't find the volume ​
sp2606 [1]

Answer:

8π(2.5)^2

Step-by-step explanation:

volume = π * r^2 * h

v = π * (2.5)^2 * 8

7 0
3 years ago
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