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3241004551 [841]
3 years ago
5

Which is the approximate solution to the system y = 0.5x + 3.5 and y = −A system of equations. y equals 0.5 x plus 3.5. y equals

negative StartFraction 2 over 3 EndFraction x plus StartFraction 1 over 3 EndFraction.x + shown on the graph? (–2.7, 2.1) (–2.1, 2.7) (2.1, 2.7) (2.7, 2.1)

Mathematics
2 answers:
almond37 [142]3 years ago
6 0

Answer:

<h2>Its A.</h2>

(–2.7, 2.1)

Elena L [17]3 years ago
4 0

Answer:

The approximate solution of the system of equations is the point (-2.7,2.1)

Step-by-step explanation:

we have

y=0.5x+3.5 -----> equation A

y=-\frac{2}{3}x+\frac{1}{3} -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (-2.714,2.143)

see the attached figure

therefore

The approximate solution of the system of equations is the point (-2.7,2.1)

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*Find the area of the figure below. Use 3.14 for pi.<br><br> Area= square inches
alex41 [277]

Answer:

100.26

Step-by-step explanation:

You would find the area of the semi circles on either side of the rectangle by plugging the diameter into the formula for the area of a circle. Then you would add that to the are of the rectangle.

This is what that would look like:

1. Divide 6 (the diameter) by 2 because r=\frac{1}{2} d

r=\frac{1}{2} 6

r=3

2. plug into the formula A=\pi r^{2}

A=\pi 3^{2}

3. square the 3

A=\pi 9

4. multiply 9 by 3.14 (pi)

A=28.26

This means the area of both the semi circles added together would equal 28.26

Then you would use the formula A=lw to find the area of the rectangle

1. plug in the numbers given

A= 12 · 6

2. solve

A=72

Then add the area of the semicircles to the area of the rectangle

A=28.26+72

to get the area of the entire figure:

A=100.26

3 0
3 years ago
A sugar box manufacturing company is accurately making 100 g packets. Suppose a business researcher randomly selects 100 boxes,
irga5000 [103]

Answer:

The kind of error the researcher has done is a;

Type I error

Step-by-step explanation:

When carrying out hypothesis testing in statistical analysis, a type I error is the type of error said to have occurred when a null hypothesis that is true or correct is rejected which is a false positive conclusion

Given that that sugar box manufacturing company makes the boxes to be 100 g accurately, and that the researcher makes non-random or randomly selects packets which are not filled, the mean of the filled packets is expected to be 100 g making the conclusion for rejection of the null hypothesis a false positive rejection

7 0
2 years ago
Please answer it correctly and please show work please help me I need it
tamaranim1 [39]

Answer:

the equation is

y = 0.75x

And,  the constant of proportionality is 0.75

Step-by-step explanation:

The computation is shown below:

Given that

4y = 3x

And,

12y = 9x

Here the equation that represent proportional relationship is

4y = 3x

Divide both sides by 4

y = 3x ÷ 4

Now

12y = 9x

divides both sides by 12

y = 9 ÷ 12x

y = 3 ÷ 4x

y = 0.75x

so the equation is

y = 0.75x

And,  the constant of proportionality is 0.75

4 0
3 years ago
The radius of the large sphere is double the radius of the small sphere. How many times is the volume of the large sphere than t
kobusy [5.1K]

The volume of a sphere is \cfrac{4}{3}\ \pi r^3

So, if the small sphere has radius r and the largest sphere has radius 2r, their volumes are

V_1 = \cfrac{4}{3}\ \pi r^3,\quad V_2 = \cfrac{4}{3}\ \pi (2r)^3 = \cfrac{4}{3}\ \pi 8r^3

So, their ratio is

\cfrac{V_2}{V_1} = \cfrac{\frac{4}{3}\ \pi 8r^3}{\frac{4}{3}\ \pi r^3} = 8

7 0
3 years ago
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A container holds 4 quarts of lemonade. How much is this in cups?
Fantom [35]
1 quart = 4 cups.  So 4 x 4 will give you your answer, which is 16 cups.
8 0
3 years ago
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