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3 years ago

Which of the following is an example of a quadratic equation

Mathematics

1 answer:

raketka [301]3 years ago

8 0

Answer:

=36x, start superscript, 2, end superscript, equals, 36

(x-2)^2=49(x−2)

=49left parenthesis, x, minus, 2, right parenthesis, start superscript, 2, end superscript, equals, 49 [Why is this a quadratic equation?]

x^2

x, start superscript, 2, end superscript(x-2)^2

left parenthesis, x, minus, 2, right parenthesis, start superscript, 2, end superscriptxx

\begin{aligned}(x-2)^2&=49\\\\ x^2-4x+4&=49\end{aligned}

x^2

x, start superscript, 2, end superscript

2x^2+3=1312x

+3=131

Step-by-step explanation:

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A pair of pants was 40% off the original price. The sale resulted in a $36 discount. What was the original price before the sale

Mama L [17]

Answer:

$90.00

Step-by-step explanation:

40% of What is 36?

40/4 = 10 (10%)

36/4 = 9 (9 is 10% of the answer we are looking for)

Multiply both answers (9 and 10) by each other.

You get 90

8 0

2 years ago

Match each trig function to a ratio. tan(A)=

ehidna [41]

Answer:

$\frac{y}{x}$ , the fourth option.

Step-by-step explanation:

Tan means $\frac{opposite}{adjacent}$ or opposite side divided by adjacent side.

Tan A equals the opposite side of the angle A divided by its adjacent side.

The side opposite of A is y and side adjacent to it is x.

So, Tan A equals $\frac{y}{x}$ !

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3 years ago

The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:

blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

$=\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182$

Compute the standard deviation as follows:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

$=\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899$

Thus, the standard deviation of the age distribution is 6.2899 years.

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2 years ago

Rewrite the fraction as a decimal 13/11 = Round to the nearest hundredth.

Allisa [31]

Answer:

1.18

Step-by-step explanation:

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2 years ago

Which rotation has occured if A (-4,2) moves to A (-2,-4)

Alja [10]

Answer:

90 degrees counter-clockwise

Step-by-step explanation:

7 0

3 years ago