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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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wlad13 [49]

Cone Volume = (π • r² • h) ÷ 3


Cone Volume = (π • (5.2)² • 8.4) ÷ 3

Cone Volume = (3.14159 * 27.04 * 8.4) / 3 

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3 years ago

The mean of four numbers is 6. Three of them are 3.4,10.7and 7.8. what is the fourth number?

Marianna [84]

Answer:

2.1

Step-by-step explanation:

Use the equation

Sum of elements = average x number of elements

sum = (6)(4)

sum = 24

Add up the numbers we know: 3.4 + 10.7 + 7.8 = 21.9

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This means the fourth number is 2.1

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3 years ago

Read 2 more answers

Please help quick it is due by 12 am

Anna11 [10]

Don’t you have to flip the sign when you divide by a negative? So I think she’s wrong bc the answer should be d is less than or equal to 7.5

6 0

2 years ago

Define a variable, write an inequality, and solve each problem. Check your solution.

grandymaker [24]

Answer:

Step-by-step explanation:

7 0

3 years ago

QUICK EASY 25 POINTS!!

MAVERICK [17]

Answer:

1. leave the radical symbol and don't try to convert it to a decimal form

2. The approximated value differs from the exact solution and doesn't give a true equation.

3. Depending on the case, if she needs a mathematical answer, the exact value should be used, but for more practical applications, the rounded decimal form would be more usable.

Step-by-step explanation:

The step by step solution to the equation:

$4x^3=756\\x^3=\frac{756}{4} =189\\x=\sqrt[3]{189} \\x=\sqrt[3]{3^3*7} \\x=3*\sqrt[3]{7}$

1.- Exact solution means that if in the final step when solving for x the value of $x^3$ is not a perfect cube, one needs to leave it indicated as a radical expression (with the radical symbol).

in our case, the cubic root of 189 is not a perfect cube. The factor form of 189 is: $3^3*7$ , so there is a perfect cube factor ( $3^3$ ), but the other factor (7) is a prime number. Therefore 3 can get out of the root, while 7 stays inside.

2.- The equation was solved above, in exact form. Now to solve it giving a decimal approximation, we use a calculator to find the cubic root of 7, which is an irrational number with infinite number of decimals, the first of which we type here: $\sqrt[3]{7} = 1.91293118...$

Therefore, the decimal approximation to the solving for x would be:

$x=3*\sqrt[3]{7}=3*1,91293118...=5.73879...=5.74$

Where we rounded to two decimals as requested.

When we replace the exact answer in the original expression, we get a perfect equality:

$4*x^3=756\\4* (3\sqrt[3]{7} )^3=756\\4*3^3*(\sqrt[3]{7} )^3=756\\4*27*7=756\\\\756=756$

While if we use the approximate answer, we get:

$4*x^3=756\\\\4*(5.74)^3=756\\\\4*189.119224=756\\756.476896=756$

which is NOT a true equality.

3.- I would stick with the idea of showing the exact answer as answer to the mathematical equation. but for a practical case (for example she needs to by some material as a result of her equation solving, it would be more practical to take the numerical approximation to the store, instead of a cubic root of a number.

7 0

3 years ago