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3 years ago

Please help me in math. Write an equation of the parabola shown.

Mathematics

1 answer:

Rama09 [41]3 years ago

5 0

Answer:

$y = \frac{1 }{8} {(x + 3)}^{2}$

Step-by-step explanation:

$y = a(x - h)^{2} + k \\ y = a(x - ( - 3))^{2} + 0 \\ using \: points \: (1 ,\: 2) \\ 2 = a {(1 - ( - 3))}^{2} \\ 2 = a{4}^{2} \\ 16a = 2 \\ \boxed{ a = \frac{1}{8} } \\ hence \to \\ y = \frac{1}{8} (x - ( - 3))^{2} \\ y = \frac{{(x + 3)}^{2} }{8}$

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2) Write an integer to best describe the following situation: 6 feet below sea level

Ulleksa [173]

Answer: -6

Step-by-step explanation:

Because its 6 feet below sea level, it should be negative, and since its 6 feet, it would be -6.

8 0

3 years ago

Solve the equation. Check for extraneous solutions. 2|7−7x|=2x+4

Vesna [10]

2|7 − 7x| = 2x + 4

|7 - 7x| = x + 2

7 - 7x = x + 2 or 7 - 7x = -(x + 2)

-8x = -5 or 7 - 7x = -x - 2

x = 5/8 or -6x = -9

x = 5/8 or x = 9/6

x = 5/8 or x = 3/2

To check for extraneous solutions, we check both solutions in the original equation.

Check solution 5/8:

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 5/8| = 5/8 + 2

|56/8 - 35/8| = 5/8 + 16/8

21/8 = 21/8

Solution x = 5/8 works.

Check solution 3/2:

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 3/2| = 3/2 + 2

|14/2 - 21/2| = 3/2 + 4/2

|-7/2| = 7/2

7/2 = 7/2

Solution 3/2 also works.

Answer: x = 5/8 or x = 3/2

5 0

3 years ago

{75-[(15 entre 3)x(2x5)+2]}-2 How

nadezda [96]

Answer:

Step-by-step explanation:

7 0

3 years ago

The school production of Our Town' was a big success. For opening night. 434 tickets were sold. Students paid $4.00 each, while

Alex73 [517]

Answer:

286 students attended

148 non students attended

Step-by-step explanation:

Given

$Tickets = 434$

$Students = \$4.00$

$Non-Students = \$6.00$

$Total = \$2032.00$

Solving (a): Number of students

Represent students with S and non students with N

So:

$S + N = 434$ --- (1)

$4S + 6N = 2032$ --- (2)

Make N the subject of formula in (1)

$N = 434 - S$

Substitute 434 - S for N in (2)

$4S +6(434 - S) = 2032$

Open Bracket

$4S + 2604 - 6S = 2032$

Collect Like Terms

$4S - 6S = 2032 - 2604$

$-2S = -572$

Divide through by -2

$S = 286$

Hence; 286 students attended

Solving (b):

Recall that

$N = 434 - S$

$N = 434 - 286$

$N = 148$

148 non students attended

4 0

3 years ago

frank has two same size rectangles divided into the same number of equal parts. one rectangle has 3/4 of the parts shaded, and t

lidiya [134]

This question basically asks for the LCM of 3 and 5, which is 3 x 5 =15
This is the answer: 15
Check : The first rectangle had 1/3 shaded; ( one in every three parts)
So for 15 parts altogether, 5 would be shaded ( 1/3 = 5/15)
The second rectangle had 2/5 shaded ( two for every five parts)
So for 15 parts altogether, 6 would be shaded (2/5 = 6/15)

6 0

3 years ago