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3 years ago

Factor as the product of two binomials. 22 + 11x + 18

Mathematics

1 answer:

Dahasolnce [82]3 years ago

4 0

Answer:

11x +40

Step-by-step explanation:

Add 22 and 18 and the result will be as above.

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Please can someone help me on these? solve this equation by factorising: 2x^2 + 5x + 2 = 0

slavikrds [6]

$2x^2 + 5x + 2 = 0\\
2x^2+4x+x+2=0\\
2x(x+2)+1(x+2)=0\\
(2x+1)(x+2)=0\\
x=-\frac{1}{2} \vee x=-2$

$x^2-4x+1=0\\
x^2-4x+4-3=0\\
(x-2)^2=3\\
x-2 =\sqrt3 \vee x-2=-\sqrt3\\
x=2+\sqrt3 \vee x=2-\sqrt3$

7 0

3 years ago

the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

luda_lava [24]

Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }$

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

3 0

3 years ago

Square root of 50 + square root of 18

skelet666 [1.2K]

if ya asking for simpliicatio

remember that $\sqrt{ab}=(\sqrt{a})(\sqrt{b})$

and

$\sqrt{a^2}=(\sqrt{a})(\sqrt{a})=a$

$\sqrt{50}+\sqrt{18}=$

factor

$(\sqrt{2})(\sqrt{5})(\sqrt{5})+(\sqrt{2})(\sqrt{3})(\sqrt{3})=$

$(\sqrt{2})(5)+(\sqrt{2})(3)=$

$5\sqrt{2}+3\sqrt{2}=$

$8\sqrt{2}$

5 0

3 years ago

My question : here is related to Algebra 1 HELP

Ilia_Sergeevich [38]

Answer:

The sun is about 390 times farther than earth is from the moon

Step-by-step explanation:

It's kind of hard to understand the question but it's essentially asking how many times farther earth is from the sun than earth is from the Moon. Or basically measure the distance from the earth to the moon. Then show how much bigger the distance from the Earth to the Sun is by comparing it from the earth to the moon. To do this you divide the distance of moon by the distance of the sun to get how many times you could you could fit the distance between the Earth and The Moon from the Earth to the Sun.

4 0

2 years ago

Ella and kate play basketball last year ella scored 16 points per game kates total points for the season were 22 less than Ellis

KatRina [158]

Alright, lets get started.

Ella and kate played basketball last year.

In each game, Ella scored 16 points.

We have not given the number of games played.

So, lets suppose there are n games played last year.

So, total points of Ella will be = number of games * each game score

total points of Ella will be = n * 16 = 16 n

Kates total points for the season are 22 less than Elli's points

Means , Kates total points = 16 n - 22

This expression is similar with expression given 16 z - 22 (which is give in question)

It means z = n , means variable z means total games played in last year. : Answer

Hope it will help :)

4 0

3 years ago