Finding a parametric description of the solution set of a linear system is the same as solving the system.Choose the correct answer below.A.The statement is false. The solution set of a linear system can only be expressed using a parametric description of the system has at least one solution.

9514 1404 393

Answer:

  A.  (3, 3)

Step-by-step explanation:

The coefficients of y are opposites, so adding the two equations will eliminate y.

  (x +2y) +(3x -2y) = (9) +(3)

  4x = 12 . . . simplify

  x = 3 . . . . . divide by 4

Using the first equation, we can find y:

  3 +2y = 9 . . . . . .substitute for x

  2y = 6 . . . . . . . .  subtract 3

  y = 3 . . . . . . . . . . divide by 2

The solution is (x, y) = (3, 3).

_____

Additional comment

For this problem, it is easy to just try the answers. You don't have to go far to show the first answer (A) satisfies both equations.

  3 + 2(3) = 9; 3(3) -2(3) = 3

The equation of a circle with center at  [tex]C(-2, 7)[/tex]  and Point [tex]P(1, 11)[/tex] will be   [tex](x+2)^2+(y-7)^2=25[/tex] .

What is equation of a circle ?

Equation of a circle is written in the form [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex]   is the center and  [tex]r[/tex]  is the radius.

We have,

Center at  [tex]C(-2, 7)[/tex]

i.e. [tex]h=-2[/tex], [tex]k=7[/tex],

And

Point [tex]P(1, 11)[/tex]

i.e. [tex]x=1[/tex], [tex]y=11[/tex]

Now,

To determine Radius of the circle;

[tex]r^2=(x-h)^2+(y-k)^2[/tex]

[tex]r^2=(1-(-2))^2+(11-7)^2[/tex]

[tex]r=\sqrt{3^2+4^2} =\sqrt{25}[/tex]

[tex]r=5[/tex]

So, radius of the circle is [tex]5[/tex] .

Now,

Equation of a circle ;

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](x-(-2))^2+(y-7)^2=5^2[/tex]

[tex](x+2)^2+(y-7)^2=25[/tex]

So, the Equation of a circle is  [tex](x+2)^2+(y-7)^2=25[/tex] .

Hence, we can say that the equation of a circle with center at  [tex]C(-2, 7)[/tex]  and Point [tex]P(1, 11)[/tex]  is   [tex](x+2)^2+(y-7)^2=25[/tex] .

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Answer:

Step-by-step explanation:

(5*x)(6-3x)=5x(6-3x) simplified

=30x-15x^2

Answer:

sin 30=B/C

1/2=B/C

2B=C

B=C/2

Answer:

1) [tex]5r + 2 < s[/tex]

2) [tex]12t + 6s < 960[/tex]

3) [tex]p - q > 30[/tex]

Step-by-step explanation:

1) Length of a ruler = r

Height of Shiela = s

According to the question ,

5 times the length of a ruler increased by 2 .

⇒ [tex]5r + 2[/tex]

Also , 5r + 2 is less than height of Shiela.

Hence , the linear inequality is ⇒ [tex]5r + 2 < s[/tex]

2) Let the cost of each t-shirt be 't' & cost of each short be 's'.

⇒ Cost of dozen of t-shirts = 12t and Cost of half a dozen shorts = 6s

According to the question ,

12t & 6s is not greater than Php 960.

Hence the linear inequality is ⇒ [tex]12t + 6s < 960[/tex]

3) Let the number of Php 100-peso tickets be 'p' and let the number of Php  50-peso tickets be 'q'.

According to the question ,

Difference of p & q is not less than 30

Hence the linear inequality is ⇒[tex]p - q > 30[/tex]

Answer:21

Step-by-step explanation:

Look at attatched file.

Answer:

the answer is B (graph a and c)

just did the test on edg 21

Step-by-step explanation:

i hope this helps!! have an amazing day <3

If a graph is reflected across y = x then it will be an inverse graph so graphs B and C will be inverse.

The inverse of a function is basically a reverse function or undo of the function.

For example y = f(x) then inverse will be x = f(y).

It means in the inverse function we need to interchange x and y.

Another example y = 3x² ⇒ x = √(y/3) will be the inverse.

An inverse function is a reflection of graph across y = x and due to that coordinate will interchange its that ;

( x ,y ) → ( y , x )

Since graph A is rotated about the x-axis to make graph B

Now,

Graph A is rotated( which is B ) and reflected across the axis y = x to form Graph C.

So B and C will be the inverse of each other.

Hence "If a graph is reflected across y = x then it will be an inverse graph so graphs B and C will be inverse".

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The given question is incomplete complete question is ;

Which graphs are inverses of one another? Graph A and B Graph A and C Graph B and C none of the graphs shown On a coordinate plane, graph A is in quadrants 1, 2, and 3. Graph A is rotated across the x-axis to form graph B. Graph A is rotated and reflected across the axis y = x  to form Graph C.

Answer:

$ 20,025

Step-by-step explanation:

Answer:

x=65

Step-by-step explanation:

Both sides have to equal the same, which is 145. 145-15=130, 130/2=65. So basically you have to do inverse operation to solve this.

Answer:

0-x+3 I think if not then the one a ove it

Answer:

hmm yes

nnnnnnj

Step-by-step explanation:

bhebbnyes

Answer:

Buffalo

Thats the answer because temp is decreasing back so 10 is higher plus lower than all

Answer:

$1,061

Step-by-step explanation:

2% of 1000 is 20.

If 2% is compounded yearly, then

year one- $1,020

year two- $1,040.40

year three- $1,061.21

Rounded to the nearest whole dollar, Elaine would have $1,061 in her savings account after three years.

Answer:

1061

Step-by-step explanation:

Answer:

may i have brainiest please

Step-by-step explanation:

Answer:

the person above me or below me is correct

Step-by-step explanation:

Answer:

$2,072.56

Step-by-step explanation:

Compound interest formula is expressed as;

A = P(1+r) ^ n

A = 960(1+0.08) ^ 10

A = 960(1.08)^10

A = 960(2.1589)

A = 2,072.56

Hence the amount in Benny's account after 10 years is $2,072.56

Answer: 4

Step-by-step explanation:

Let's make a table.

So we know that for 24 minutes, Heather can ring up 36 customers. Now, to get 6 customers, you need to divide 36 by 6.

So

36 = 24

/ 6    /6

_______

6 = 4

Answer:

4 minutes

Step-by-step explanation:

36 and 24 are both factors of 6.

So since you have 6 costumers you divide 36 by 6 to get the 6 costumers.

Then you do the same thing with 24. 24 divided by 6 = 4. (Your answer.)

Hope this helps! <3

Answer:

[tex]Area\ of\ material\ required\ for\ the\ first\ box=384\ inches^2\\Area\ of\ material\ required\ for\ the\ second\ box=486\ inches^2\\Area\ of\ material\ required\ for\ the\ first\ box=600\ inches^2\\Total\ Area\ of\ material\ required=1470\ inches^2[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\Diameter\ of\ the\ first\ volleyball=8\ inches \\Diameter\ of\ the\ second\ volleyball=9\ inches\\Diameter\ of\ the\ third\ volleyball= 10\ inches.\\Hence,\\We\ know\ that,\\If\ the\ side\ of\ the\ cube\ box\ is\ s, it's\ Total\ Surface\ Area\ =No.\ of\\ faces\ in\ a\ regular\ polyhedron\ *Area\ of\ each\ face\ of\ the\ polyhedron=6*s^2=6s^2\\Hence,\\Lets\ apply\ this\ equation\ in\ finding\ the\ area\ of\ material\ required\ for\ the\\ three\ cases.\\[/tex]

[tex]As\ the\ volleyball\ should\ wholly\ fit\ into\ the\ box,\ the\ diameter\ of\ the\\ volleyballs\ would\ be\ the\ side\ of\ the\ cube\ box.\\Hence,\\For\ the\ first\ volleyball,\\Diameter\ of\ the\ first\ volleyball=8\ inches\\Hence,\\Side\ of\ the\ cubical\ box\ for\ the\ first\ volleyball=8\ inches.\\Hence,\\The\ Total\ Surface\ Area\ of\ the\ first\ box=6s^2=6*8*8=384\ inches^2[/tex]

[tex]For\ the\ second\ volleyball,\\Diameter\ of\ the\ second\ volleyball=9\ inches\\Hence,\\Side\ of\ the\ cubical\ box\ for\ the\ second\ volleyball=9\ inches.\\Hence,\\The\ Total\ Surface\ Area\ of\ the\ second\ box=6s^2=6*9*9=486\ inches^2[/tex]

[tex]For\ the\ third\ volleyball,\\Diameter\ of\ the\ third\ volleyball=8\ inches\\Hence,\\Side\ of\ the\ cubical\ box\ for\ the\ third\ volleyball=10\ inches.\\Hence,\\The\ Total\ Surface\ Area\ of\ the\ third\ box=6s^2=6*10*10=600\ inches^2[/tex]

[tex]Hence,\\If\ you\ are\ asked\ the\ Total\ Area\ to\ make\ all\ the\ boxes,\\ you\ just\ add\ them\ together.\\Hence,\\Total\ Area\ of\ Material\ required\ to\ make\ the\ three\ boxes=384+486+600=1470\ inches^2[/tex]

Answer:

I dont see it well

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Extending answer to be able to send.

Two less than four times a number into an algebra expression will be 2 – 4n. Then the correct option is A.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

Two less than four times a number.

Let the number be n.

Then the algebraic expression is written as

⇒ 2 – 4n

Then the correct option is A.

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Answer: look up the answer

Step-by-step explanation:

Subtract 9 from both sides then divide by 3 on both sides

X=-2

Answer:y’all it’s all of them ABE

Step-by-step explanation:

The statements that are correct are:
B) The model predicts that studying for 1.5 hours will result in an exam score of 60.
C) The model predicts that studying for 2.5 hours will result in an exam score of 70.

A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).

The scatter plot shows a positive relationship between study time and exam scores, with exam scores generally increasing as study time increases. However, the relationship is not linear and the increase in exam score is not always 10 points for each additional hour of study.

A) is not correct because the relationship between study time and exam score is not linear, and the increase in exam score is not always 10 points for each additional hour of study.

D) is not correct because the wording is unclear, it should be "The model predicts that studying for 4 hours will result in an exam score of (a specific number)".

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Answer:

Step-by-step explanation:

48

Answer:

142 sq ft

Step-by-step explanation:

i drew lines to separate into 3 rectangles:

- 4 x 1' rect = 4 sq ft

- 5 x 6' rect = 30 sq ft

- 6* x 18 rect = 108 sq ft

* the 6 comes from 15 - (4 + 5)

total area = 4 + 30 + 108 = 142

Answer:

y=3x-8

Step-by-step explanation:

All you do is multiply the y-intercept which is -4 with the dilation of 2 which means multiply it by 2.

The dilated equation of a line by a factor of 2 is y = 3x - 4.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, line l has the equation y = 3x - 4.

We know when a line is dilated by a scale factor of k slope of that line remains the same only y-intercept b is multiplied by that scale factor k.

∴  y = 3x - 4 dilated by a scale factor of 2 is y = 3x - 8.

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Answer:

[tex] \frac{2}{3} x + 1 = 5 \\ \frac{2}{3} x = 4 \\ x = \frac{4 \times 3}{2} \\ x = 6[/tex]

Answer:

[tex]f(x) = 2x - 11 \\ f (x)= 2( - 17) - 11 \\ \\ f(x) = - 34 - 11 \\ f(x) = - 45[/tex]

Answer:

value of 6d - c = 46

Step-by-step explanation:

if c = 8 and d = 9

we can put the value of d and c in equation

=》6d - c

=》6×(9) - (8)

=》54 - 8

=》46

Answer:

10

Step-by-step explanation:

Answer:

14.4

Step-by-step explanation:

Answer:

14 people

Step-by-step explanation:

24 x 3 = 72

72 ÷ 5 = 14.4

I guess you round that to 14, and so you would be serving a total of 14 people.