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m_a_m_a [10]
3 years ago
12

What is the value of p? x=1/4y^2

Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0

Answer:

The value of p is 1

Step-by-step explanation:

we know that

The standard form of the equation of a horizontal parabola is

(y - k)^{2}= 4p(x - h)

where

(h,k) is the vertex

p≠ 0

If p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.

In this problem we have

x=\frac{1}{4}y^{2}

Convert to standard form

y^{2}=4x

The vertex is the point (0,0)

4p=4

p=1 -----> p > 0, the parabola opens to the right

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Anvisha [2.4K]

The answer is C, or 28.

You can plug the values into a regression calculator to find the equation. When you do this, you will get the equation y=18.001+0.3ln(x). When you substitue 19 in for y, you get that x is about 28.

6 0
3 years ago
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Two families are planning a trip to Disney. The Smith family bought tickets for 2 adults and 3 children for $557. The Jones fami
emmainna [20.7K]

<em>An adult ticket costs $205 and a child ticket costs $49.</em>

<h2>Explanation:</h2>

Hello! Recall you have to write complete questions in order to find exact answers. Here I'll assume the complete question as:

<em>Two families are planning a trip to Disney. The Smith family bought tickets for 2 adults and 3 children for $557. The Jones family bought tickets for 2 adults and 1 child </em><em>for $459</em><em>. How much does and adult and child ticket cost?</em>

To solve this problem, we need to write a system of linear equations in two variables. So, we know some facts:

  • Two families are planning a trip to Disney.
  • The Smith family bought tickets for 2 adults and 3 children for $557.
  • The Jones family bought tickets for 2 adults and 1 child for $459.

Let:

x:Cost \ of \ ticket \ per \ adult \\ \\ y: Cost \ of \ ticket \ per \ child

For the Smith family:

Cost for the 2 adults:

2x

Cost for the 3 children:

3y

Total cost:

2x+3y=557

For the Jones family:

Cost for the 2 adults:

2x

Cost for the 1 child:

y

Total cost:

2x+y=459

So we have the following system of linear equations:

\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\2x+y=459\end{array}\right.

Subtracting (2) from (1):

\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\-(2x+y=459)\end{array}\right. \\ \\ \\ \begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\-2x-y=-459\end{array}\right. \\ \\ \\ (2x-2x)+(3y-y)=557-459 \\ \\ 2y=98 \\ \\ y=49 \\ \\ \\ Finding \ x \ from \ (1): \\ \\ 2x+3(49)=557 \\ \\ 2x=557-147 \\ \\ 2x=410 \\ \\ x=205

Finally, <em>an adult ticket costs $205 and a child ticket costs $49.</em>

<em></em>

<h2>Learn more:</h2>

System of linear equations: brainly.com/question/13799715

#LearnWithBrainly

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4 years ago
What is the value of v?
melamori03 [73]

Answer:

70 degrees.

Step-by-step explanation:

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3 years ago
Mrs Henderson used 6 3/4 yards of fabric to make 3 identical elf costumes.
Studentka2010 [4]

The number of yards of fabric required for making 7 identical elf costumes is 15 3/4 yards.

<h3>What is a mixed number/fraction?</h3>

A mixed fraction is represented with the quotient and the remainder. So, the combination of a whole number and the proper fraction is called a mixed fraction.

Eg: 2 3/4 where 2 is the quotient and 3 is the remainder.

<h3>Calculation:</h3>

It is given that,

Mrs. Henderson used 6 3/4 yards of fabric to make 3 identical elf costumes.

Then, for making 1 costume, it requires

1 costume = 6 3/4 ÷ 3

⇒ 27/4 ÷ 3

⇒ 27/4 × 1/3

⇒ 9/4 yards

Thus, making 1 elf costume requires 9/4 yards.

Then, for making 7 identical elf costumes, it requires

7 identical elf costumes = 7 × 9/4 yards = 63/4 yards

The obtained value is expressed in the mixed fraction form as

63/4 yards = 15 3/4 yards.

Therefore, 15 3/4 yards of fabric are needed for 7 identical elf costumes.

Learn more about mixed fractions here:

brainly.com/question/21610929

#SPJ9

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