F(x) =2x^2+4x+5<br> Find: (a+h)

Anastasy [175]

The trick to solving problems with mixed units is to convert all of them into one unit or another, so:

There are 12 inches in a foot, so 72 inches = 6 feet.
To find the perimeter of a polygon, sum its sides.
Perimeter = 2 + 5 + 6 = 13 feet.

To find the area of a right triangle (which I assume the one in the picture is), we can use the following equation: A = 0.5 * base * height
There are 3 feet to one yard, so 6 feet = 2 yards.
Area = 0.5 * 2 * 1 = 1 yard^2

7 0

3 years ago

Find the solution to the system of equations. You can use the interactive graph below to find the solution. { y = x − 4 y = 4 x

kumpel [21]

ANSWER

$x=-2,y=-6$

EXPLANATION

First equation:

$y = x - 4$

Second equation:

$y = 4x + 2$

Let us equate the two equations and solve for x.

This implies that;

$4x + 2 = x - 4$

Group similar terms to obtain:

$4x - x = - 4 - 2$

Simplify:

$3x = - 6$

Divide both sides by 3

$x = - 2$

Put x=-2 into any of the equations.

I will put x=-2 into the first equation:

$y = - 2 - 4$

This implies that,

$y = - 6$

7 0

3 years ago

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6x + -2y² + 4xy² + 3x² + 5xy² simplify it

r-ruslan [8.4K]

$\large\displaystyle\text{$\begin{gathered}\sf 6x+-2y^{2}+4xy^{2}+3x^{2} +5xy^{2} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Group\:like\:terms \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf =3x^2+6x-2y^2+4xy^2+5xy^2 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Sum\:similar\:elements:\:4xy^2+5xy^2=9xy^2 \end{gathered}$}$

$\boxed{\large\displaystyle\text{$\begin{gathered}\sf 3x^2+6x-2y^2+9xy^2 \end{gathered}$} }$

7 0

2 years ago

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A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30 What score is necessary to reach

nlexa [21]

Answer:

A score of 150.25 is necessary to reach the 75th percentile.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.

This means that $\mu = 130, \sigma = 30$