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2 years ago

The general form of an parabola is 3x2+24x−2y+52=0.

Mathematics

2 answers:

DIA [1.3K]2 years ago

6 0

Answer: 12x - y = -29

***If you found my answer helpful, please give me the brainliest. :) ***

melamori03 [73]2 years ago

3 0

Answer:

y = 3/2x∧2+12x+26

Step-by-step explanation:

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Which equations represent the function?

hammer [34]

The answer would be D

7 0

2 years ago

Pedro Pascal wants to have $15,000 in an account after five years. He found a bank that will offer him a 7.5% interest rate, com

Juli2301 [7.4K]

<u>Answer-</u>

He needs to put $10345 in the account today, in order to get 15000 in five years.

<u>Solution-</u>

We know that,

$A=P(1+\frac{r}{n})^{nt}$

Where,

A = future value of the investment with interest = 15000

P = principal investment amount

r = annual interest rate (decimal) = 7.5% = 0.075

n = number of times that interest is compounded per year = 4

t = the number of years the money is invested = 5

Putting the values,

$15000=P(1+\frac{0.075}{4})^{4 \times 5}$

$\Rightarrow P=\frac{15000}{(1+0.01875)^{20}} =\frac{15000}{1.01875^{20}} =\frac{15000}{1.45} =10344.8 \approx 10345$

6 0

3 years ago

If one kilogram is 2.2 pounds how many kilograms would it make for 11 pounds

Mila [183]

Answer:

5 kg

Step-by-step explanation:

To solve this problem, we can use the rule of three.

In fact, we know that:

- 1 kilogram is equivalent to 2.2 pounds

- The ratio between the mass in kilograms and in pounds is constant for every value of the mass

- Therefore, the mass in kilograms corresponding to 11 pounds can be found by writing the following equation:

$\frac{1 kg}{2.2 p}=\frac{x}{11 p}$

Where

x is the mass in kilograms corresponding to 11 pounds.

Solving the equation for x, we find:

$x=\frac{(11p)(1kg)}{2.2p}=5 kg$

5 0

3 years ago

For number 6, evaluate the definite integral.

maks197457 [2]

$\bf \displaystyle \int\limits_{0}^{28}\ \cfrac{1}{\sqrt[3]{(8+2x)^2}}\cdot dx\impliedby \textit{now, let's do some substitution}\\\\
-------------------------------\\\\
u=8+2x\implies \cfrac{du}{dx}=2\implies \cfrac{du}{2}=dx\\\\
-------------------------------\\\\$

$\bf \displaystyle \int\limits_{0}^{28}\ \cfrac{1}{\sqrt[3]{u^2}}\cdot \cfrac{du}{2}\implies \cfrac{1}{2}\int\limits_{0}^{28}\ u^{-\frac{2}{3}}\cdot du\impliedby 
\begin{array}{llll}
\textit{now let's change the bounds}\\
\textit{by using } u(x)
\end{array}\\\\
-------------------------------\\\\
u(0)=8+2(0)\implies u(0)=8
\\\\\\
u(28)=8+2(28)\implies u(28)=64$

$\bf \\\\
-------------------------------\\\\
\displaystyle \cfrac{1}{2}\int\limits_{8}^{64}\ u^{-\frac{2}{3}}\cdot du\implies \cfrac{1}{2}\cdot \cfrac{u^{\frac{1}{3}}}{\frac{1}{3}}\implies \left. \cfrac{3\sqrt[3]{u}}{2} \right]_8^{64}
\\\\\\
\left[ \cfrac{3\sqrt[3]{(2^2)^3}}{2} \right]-\left[ \cfrac{3\sqrt[3]{2^3}}{2} \right]\implies \cfrac{12}{2}-\cfrac{6}{2}\implies 6-3\implies 3$

3 0

3 years ago

Helppppppp

Yakvenalex [24]

Answer:

7 -if rounded to the nearest tenth would be 10

Step-by-step explanation:

The median is the number in the middle so

6-6-7-7-10-12-14

There are 7 numbers here so the middle number is 4 because there are 3 numbers before 4 and 3 numbers after 3 to get to 7 (that’s really hard to explain sorry but it’s a simple concept) my trick is to write it down then use two fingers to point at the first and last number and keep doing that moving in til I get to the middle number, which is 7. :)

6 0

2 years ago