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MatroZZZ [7]
3 years ago
5

What is the equation of the parabola?

Mathematics
1 answer:
Stella [2.4K]3 years ago
8 0

Answer:

Option D.

Step-by-step explanation:

The vertex form of a parabola along y-axis is

y=a(x-h)^2+k      ...(1)

where, (h,k) is vertex and a is a constant.

From the given graph it is clear that the vertex of the parabola is (0,2). So, h=0 and k=2.

y=a(x-0)^2+2

y=ax^2+2    ...(2)

The graph passing through (6,5). Substitute x=6 and y=5 in the above equation.

5=a(6)^2+2

5-2=36a

3=36a

\frac{3}{36}=a

\frac{1}{12}=a

Substitute a=\frac{1}{12} in equation (2).

y=\frac{1}{12}x^2+2

Therefore, the correct option is D.

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Complete the table<br> Original Price:?<br> Percent of Discount: 25%<br> Sale Price: $40
BigorU [14]

Answer:

<u><em>The original price would be 50$.</em></u>

Step-by-step explanation:

To find this answer you have to divide 25% by 100, which equals 0.25.  Now multiply 0.25 by 40 and you get 10$.  Since 10$ was the discount, you just add 10$ + 40$, therefore 50$ is the original price.

8 0
3 years ago
A<br> 4 x 3w<br> B<br> 5 - 4r<br> C<br> 8 ÷÷ 4p<br> D<br> 4 ÷÷ 2y
Dovator [93]

Answer:

ok?

Step-by-step explanation:

7 0
3 years ago
Which expression is equivalent to the product of p+7/3 and 6/p , where p is not equal to 0?
vichka [17]

Answer:

\frac{(6p+14)}{p}

Step-by-step explanation:

(p+\frac{7}{3})(\frac{6}{p})

Making denominator same in first bracket we get

(\frac{3p+7}{3})(\frac{6}{p})

(\frac{(3p+7)*6}{3*p})

Dividing 6 by 3 we get 2

(\frac{(3p+7)*2}{p})

using distributive law

(\frac{6p+14}{p})\\

Hence this is our answer

8 0
3 years ago
Read 2 more answers
Step 2 - Fill in the missing number: A vertical line and horizontal line combine to make a L shape. There is one row of entries
aivan3 [116]

The synthetic division's representation of the dividend is 2x3 + 10x2 + x + 5.

Given that

An L shape is created when two lines intersect vertically and horizontally.

The shape has entries in two rows.

Entries in row 1 are 2, 10, 1, and 5.

Blank, -10, and 0 are the entries in row 2.

A simplified method of dividing a polynomial with another polynomial equation of degree one is known as synthetic division.

On the exterior, to the left of the form, is entry number 5.

The entry stands for the divisor's zero.

If the variable is x, then this entry to the variable is;

2x³+10x²+x+5

The dividend is thus represented by synthetic division as

2x³+10x²+x+5

The Question is incomplete And complete question is given below!!

What dividend is represented by the synthetic division below? A vertical line and horizontal line combine to make a L shape. There are two rows of entries within the shape. Row 1 has entries 2, 10, 1, 5. Row 2 has entries blank, negative 10, 0, negative 5. Entry negative 5 is on the outside to the left of the shape, and a third row of entries is outside and below the shape. Row 3 has entries 2, 0, 1, 0. Negative 10 x squared minus 5 2 x cubed 10 x squared x 5 2 x squared 1 2 x cubed x.

Learn more about Synthetic division here

brainly.com/question/27979968

#SPJ1

5 0
1 year ago
Find the length of side x to the nearest tenth
navik [9.2K]

Answer:

x = 2 sqrt(3)/3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 1 /x

x sin 60 =1

x = 1 /sin 60

x = 1 / sqrt(3)/2

x = 2 sqrt(3)/3

3 0
2 years ago
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