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aev [14]
3 years ago
5

Write in standard form y=2(x-1)^2+6

Mathematics
1 answer:
vlabodo [156]3 years ago
4 0

Answer:

Y=2x+2

Step-by-step explanation:

Im not 100% sure this is correct but what I did was

Y=2(x-1)^2+6

2(x-1) = 2x -2

Y=2x -2^2 +6

Y=2x -4 + 6

-4 + 6 = 2

So y=2x+2 (y=mx+b)

I hope this helps you

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The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day 333 people enter the park, the
liberstina [14]

Answer:

<u>188 children</u> and <u>145 adults</u> were admitted in the park.

Step-by-step explanation:

Given:

The admission fee at an amusement park is $1.50 for children and $4 for adults.

Total $862 collected on a certain day when 333 people enter the park.

Now, to find the children and adults admitted in the park.

<u><em>Let the number of children admitted be </em></u>x.<u><em /></u>

<u><em>And the the number of adults admitted be </em></u>y.<u><em /></u>

So, the total people enter the park:

x+y=333\\\\x=333-y\ \ \ ...(1)

Thus, the total amount collected of the admission fee:

1.50(x)+4(y)=862\\\\

Substituting the value of x from equation (1):

1.50(333-y)+4(y)=862\\\\499.50-1.50y+4y=862\\\\499.50+2.50y=862\\\\Subtracting\ both\ sides\ by\ 499.50\ we\ get:\\\\2.50y=362.50\\\\Dividing\ both\ sides\ by\ 2.50\ we\ get:\\\\y=145.

<u><em>Thus, the number of adults = 145.</em></u>

Now, to get the number of children by substituting the value of y in equation (1) we get:

x=333-y\\\\x=333-145\\\\x=188.

<u><em>Hence, the number of children = 188.</em></u>

Therefore, 188 children and 145 adults were admitted in the park.

4 0
3 years ago
What is the solution to the inequality?<br><br><br> -2x-4 less than or equal to 11
Rashid [163]

Answer:

x ≤  \frac{-15}{2}

Step-by-step explanation:

So first you would start by getting rid of the -4. To get rid of -4, you would need to + 4 on each side leaving you with -2x ≤ 15. Now you need to get rid of -2 from x so that would convert equation to x ≤  \frac{-15}{2}. Hoped it helped!

⭐ Answered by Foxzy0⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

4 0
3 years ago
PLISSSSSS HELP THIS IS FOR EXAM THERE IS A PICTURE
Marizza181 [45]

Answer:

elimination anyday

Step-by-step explanation:

there are two 3y terms so they cancel out when using elimination, mark me brainliest plz

3 0
2 years ago
Read 2 more answers
Add the following lengths:<br> 2' 8"<br> + 1' 6"
Elanso [62]

Answer:

4 ft, 2 in

Step-by-step explanation:

2 ft, 8 in plus 1 ft, 6 in = 3 ft, 14 in

there are 12 inches in a foot

3 ft, 14 in equals 4 ft, 2 in

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Valerie bought a 9 ft piece of ribbon from which she wants to cut into 2/3 ft pieces. How many 2/3 ft pieces can
lana66690 [7]

Answer:

Valerie can cut 13 2/3 ft pieces.

Step-by-step explanation:

Please brainliest!

6 0
2 years ago
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