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Jlenok [28]
3 years ago
7

What is the product of 4xy and y2 + 2x?

Mathematics
1 answer:
juin [17]3 years ago
3 0
The product of 4xy and y² + 2x can also be written as
4xy(y² + 2x)

When we have brackets like this, we multiply whatever is left of the brackets by everything inside.

1) 4xy multiplied by y²
    4xy x y² = 4xy³

2) 4xy multiplied by 2x
    4xy x 2x = 8x²y

3) Add together 4xy³ and 8x²y 
    4xy³ + 8x²y
You might be interested in
A group of 52 people attend a ball game there were three times as many children as adults in the group set up a system of equati
xxTIMURxx [149]

Answer:

Therefore there total of 39 children presented in group of people who attended a ball game.

Step-by-step explanation:

Given:

Total people present=52 .

And there are 3 times children as adults

To Find:

No.of Children Present in Group.

Solution:

<em>Consider  'x'  be the children and 'y' be Adults presented in group.</em>

<em />

So there are total of 52 people.

Therefore Equation becomes,

x+y=52.

And also there  are 3 times children presented in group as adults were.

So

Children=3 times adults

i.e.x=3y

Using in above Equation we get ,

x+y=52

3y+y=52

4y=52

y=52/4

y=13

Hence there are 13 adults  presented in group

So ,

No.of Children=x=3y

=3(13)

=39

No.of.Children =39

4 0
3 years ago
The slope of the line below is -4. which of the following is the point-slope form of the line
MrMuchimi

Answer:

y - b = -4(x - a)

Step-by-step explanation:

If the line passes through (a, b), then the point-slope form of the equation of the line is y - b = -4(x - a).   Where's the line you mention?

8 0
2 years ago
Determine the equation of g(x) that results from translating the function f(x)=x^2+9 upward 10 units.
Rus_ich [418]
The simple/ <span>common sense method:
</span>The typical lay out of a quadratic equation is ax^2+bx+c 
'c' represents where the line crosses the 'y' axis. 
The equation is only translated in the 'y' (upwards/downwards) direction, therefore only the 'c' component of the equation is going to change. 
A translation upwards of 10 units means that the line will cross the 'y' axis 10 places higher. 
9+10=19, 
therefore <u>c=19</u>. 
The new equation is: <u>y=x^2+19 </u>
<span>
<span>The most complicated/thorough method: 
</span></span>This is useful for when the graph is translated both along the 'y' axis and 'x' axis.
ax^2+bx+c 
a=1, b=0, c=9
Find the vertex (the highest of lowest point) of f(x). 
Use the -b/2a formula to find the 'x' coordinate of your vertex.. 
x= -0/2*1, your x coordinate is therefore 0. 
substitute your x coordinate into your equation to find your y coordinate.. 
y= 0^2+0+9
y=9. 
Your coordinates of your vertex f(x) are therefore <u>(0,9) </u>
The translation of upward 10 units means that the y coordinate of the vertex will increase by 10. The coordinates of the vertex g(x)  are therefore: 
<u>(0, 19) </u>
substitute your vertex's y coordinate into f(x) 
19=x^2+c
19=0+c
c=19
therefore <u>g(x)=x^2+19</u>

7 0
3 years ago
Read 2 more answers
Under what circumstances may a health insurer charge a higher premium to a woman with a genetic disposition to breast cancer? a)
Vladimir [108]

Answer:

D) Health insurers can never discriminate based on genetic information in this way

3 0
2 years ago
WILL GIVE BRAINLIEST IF CORRECT!!
vfiekz [6]

Answer:

\displaystyle y=-0.927x+13.63

Step-by-step explanation:

<u>Simple Linear Regression </u>

It a function that represents the relationship between two or more variables in a given data set. It uses the method of the least-squares regression line which minimizes the error between the estimate function and the real data.

Let's compute the best-fit line for the data

x=\{1,5,6,12,15\}

y=\{14,11,4,2,1\}

First, we find the sums

\displaystyle \sum x=1+5+6+12+15=39

\displaystyle \sum y=14+11+4+2+1=32

Then, we compute the averages values

\displaystyle \bar{x}=\frac{39}{5}=7.8

\displaystyle \bar{y}=\frac{32}{5}=6.4

We will also compute the sums of the cross-products and the sum of the squares

\displaystyle \sum xy=(1)(14)+(5)(11)+(6)(4)+(12)(2)+(15)(1)=137

\displaystyle \sum x^2=1^2+5^2+6^2+12^2+15^2=1+25+36+144+225

\displaystyle \sum x^2=431

We will compute Sxy and Sxx

\displaystyle S_{xy}=\sum xy-\frac{\sum x\ \sum y}{n}

\displaystyle S_{xy}=137-\frac{(39)(32)}{5}

\displaystyle S_{xy}=-117.6

\displaystyle S_{xx}=\sum x^2-\frac{(\sum x)^2}{n}

\displaystyle S_{xx}=431-\frac{39}{5}^2=126.8

The slope of the linear regression function is given by

\displaystyle m=\frac{S_{xy}}{S_{xx}}=\frac{-117.6}{126.8}=-0.927

The y-intercept ot the linear function is

\displaystyle b=\bar{y}-b\bar{x}=6.4-(-0.927)(7.8)

\displaystyle b=13.63

Thus the best-fit line is

\displaystyle y=-0.927x+13.63

The correct option is the last one

5 0
2 years ago
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