9.

Match the graph of the function with the function rule.

A. y = 1 • 4x
B. y = 2 • 4x
C. y = 3 • 10x
D. y = 10 • 4x

For any two points that we have, we can find a line that passes through them, so the first part is true, only two points are needed to determine a line.

Then you say:

"why are three ordered pair solutions or points found for a linear equation"

A linear equation is something of the form:

y = a*x + b

Where we assume that you know a and b.

Given that case, we can see that we have infinite solutions.

Suppose that you want to solve this for y, then for each possible value of x you will have a different solution, and you can have infinite values of x there, so there are infinite solutions.

Now, what I think you are asking is:

Why we should use 3 points to check if a relation is linear or not?

Well, exactly for the first thing you said. We always can find a line that passes through two given points, but that is not the case for 3 given points.

So, if in a given relation we use 3 points, and we can see that these are collinear, then we can conclude that the relationship gives a linear equation (ideally you could use more than 3 points, but usually is enough)

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Answer:

689

Step-by-step explanation:

just subtract.

You only attached the square. Edit the question to add it, and then I'll edit my answer.

Answer:

3a + 2b + 4c = D

D = Amount Spent

Step-by-step explanation:

Answer:

A) 20h+5≥125

Step-by-step explanation:

total amount = flat rate + amount per hour * hours worked

She wants to earn at least 125

125≤ 5 + 20h

Rewriting

5 + 20h ≥ 125

Answer:

Option a. 20h+5≥125 is the correct answer

9514 1404 393

Answer:

  no

Step-by-step explanation:

2π ≈ 6.28

√44 ≈ 6.63

  2π < √44

Answer:

x = 1 or

x = - 7

To get rid of the square root. Isolate the square root and it's multiple. Then square both sides to get rid of it. Don't forget to square the multiple, in this case - 2 becomes 4. Solve for x like you normally do.

Answer:

The discount is 5.82

Step-by-step explanation:

To find the amount of the discount

48.50 * 12%

Change to decimal form

48.50 * .12

5.82

The discount is 5.82

Answer:

the radius will need to be 150/2(pi) feet or roughly 23.87 feet

Step-by-step explanation:

equation for circumference is C = 2(pi)r

divide C (which is 150) by 2(pi)

150/2(pi) roughly equals 23.87.

Answer:

8

Step-by-step explanation:

Just count the spaces between them.

Answer:

1/6?

Let's do it...

( (3^(3/4))/(3^(3/8)) )^4/9

According to indices rules here the denominator and numerator has the same base and they are dividing so the powers will subtract..... Its just a formulae not rocket science so don't freak out.

So ( 3^(3/4 - 3/8)) ^4/9

= ( 3^(3/8)) ^4/9

Again with indices rule the powers will multiply

Which will return us 3^1/6 which corresponds 3^x..... Hence x =1/6

Thank you

[tex] \boxed{ \boxed{x = \frac{1}{6} }}[/tex]

[tex] \hookrightarrow \: {\bigg( \dfrac{3 {}^{ \frac{3}{4} } }{ {3}^{ \frac{3}{8} } } \bigg) }^{ \frac{4}{9} } [/tex]

[tex] \hookrightarrow \: {(3 {}^{ \frac{3}{4} } \div 3 {}^{ \frac{3}{8} } ) } ^{ \frac{4}{9} } [/tex]

[tex] \hookrightarrow \: {(3 {}^{ \frac{3}{4} - \frac{3}{8} } ) }^{ \frac{4}{9} } [/tex]

[tex] \hookrightarrow \:{ (3 {}^{ \frac{3}{8} } ) }^{ \frac{4}{9} } [/tex]

[tex] \hookrightarrow \: 3 {}^{ \frac{3}{8} \times \frac{4}{9} } [/tex]

[tex] \hookrightarrow \: {3}^{ \frac{1}{6} } [/tex]

therefore,

the required value of x is 1/6

Answer:

= 2.8

Step-by-step explanation:

8.3 - 5.5 = 2.8

= 2.8

Answer:

m = -1

Step-by-step explanation:

Find the equation in slope intercept form [ y = mx + b ] for line AB. Find the slope using the formula [ y2-y1/x2-x1 ].

8-5/7-4

3/3

1

Find the y-intercept.

5 = 1(4) + b

5 = 4 + b

1 = b

So the equation of the line AB is y = x + 1.

The slope of a perpendicular line is the opposite reciprocal of the original line.

1 -> -1/1 -> -1

Best of Luck!

Answer:

$10.17

Step-by-step explanation:

Mean simply is defined as "average", so the average price of a hamburger across five resturaunts is found by adding all of the prices together and then dividing by the number of prices there are.

9.95 + 12.95 + 8.50 + 8.95 + 10.50 = 50.85 dollars, which then you divide by 5, and end up with the solution: $10.17

Answer:

10.17 ……

10.10

Step-by-step explanation:

Answer:

the width would be 20 inches

Step-by-step explanation:

32 = 8 × x

32 ÷ 8 = 4

so now multiply 5 by 4 which equals 20 inches

The length of a ribbon that will cover the edge of the circular drum is 76.98 in

The given parameter:

To find:

The length of a ribbon that will cover the edge of the circular drum is equal to the circumference of the circular drum.

The circumference of the circular drum = 2πr

The circumference of the circular drum = 2 x 3.142 x 12.25

The circumference of the circular drum = 76.98 in

Thus, the length of a ribbon that will cover the edge of the circular drum is 76.98 in

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Answer:

10.5 yards after 15 years

Step-by-step explanation:

2.1 feet times 15 years, which equals to 31.5 feet, convert 31.5 feet into yards, so divide it by 0.3, and that equals to approximately 10.5 yards

Answer:

its just one step forwards 3 steps back

Step-by-step explanation:

im sorry i hate that song its ew

Answer:

Step-by-step explanation:

if you need an answer I would be 112 given the information in the question,

but there seems to be something wrong (probably my interpretation) ..

here  is the logic (and why there is an issue) ....

Assuming that every "movement" is "5 forward, then 3 back"

we can assume that every movement takes 8 steps ...

given this one would assume that the total steps has to be a multiple of 8 (but it is not)

460/8 is 57.5 ....

let us assume that came out even... every movement has five forward and three back a net result of 2 forward... if the is repeated 57.5 time the result would be 112 steps forward

it is the 57.5 that does not seem correct

Answer:

5 words a second because 5÷25 is 5 so in 1 second she reads 5 words

[tex]S_n=\frac{a_1+a_n}{2}\cdot n\\\\a_1=10, \ d=8, \ n=11\\\\a_{11}=a_1+10d=10+10\cdot8=10+80=90\\\\S_{11}=\frac{10+90}{2}\cdot11=\frac{100}{2}\cdot11=50\cdot11=\boxed{550}\\\\\text{Answer}:\text{C})[/tex]

The value of the arithmetic series is 550. The correct answer is C) 550.

To evaluate the arithmetic series, we can use the formula:

Sn = (n/2)(2a1 + (n-1)d)

Given:

a1 = 10 (first term)

d = 8 (common difference)

n = 11 (number of terms)

Plugging the values into the formula:

Sn = (11/2)(2(10) + (11-1)(8))

= (11/2)(20 + 10(8))

= (11/2)(20 + 80)

= (11/2)(100)

= 550

Therefore, the value of the arithmetic series is 550.

The correct answer is C) 550.

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Number of cups are 32.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A dietitian prepares a high-protein drink for 24 residents.

And, Each drink measures 3/4 cup.

Let number of cups of the drink will she prepare = x

So, We get;

⇒ 3/4 × x = 24

⇒ x = 24 × 4 / 3

⇒ x = 32 cups

Thus, There are 32 total cups of the drink will she prepare.

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Answer:

Rule for rotation 180° about the origin:

Given coordinates:

Coordinates of the image, apply the rule above:

Inequalities are used to show the relationship between unequal expressions.

See attachment for the graph of [tex]4x - 5\ge 3[/tex] or [tex]5 - x > 8[/tex]

Given that:

[tex]4x - 5\ge 3[/tex] or [tex]5 - x > 8[/tex]

First, we solve for x.

[tex]4x - 5\ge 3[/tex]

Collect like terms

[tex]4x \ge 3+5[/tex]

[tex]4x \ge 8[/tex]

Divide by 4

[tex]x \ge 2[/tex]

[tex]5 - x > 8[/tex]

Collect like terms

[tex]-x > 8 - 5[/tex]

[tex]-x > 3[/tex]

Divide by -1

[tex]x < -3[/tex]

So, we have:

[tex]4x - 5\ge 3[/tex] or [tex]5 - x > 8[/tex] becomes

[tex]x \ge 2[/tex] or [tex]x < -3[/tex]

The graphs are not given. So, I've added as an attachment, the graphs of [tex]x \ge 2[/tex] or [tex]x < -3[/tex]

Read more about graphs of inequalities at:

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Answer:

10.46

Step-by-step explanation:

I wasn't too sure what you meant by this but I solved it the best I could.

5.23(10-8)

5.23(2)

10.46

Answer:

5h-fgtx56=y2-6

Step-by-step explanation:

sorry if wrong:(

[tex]g(x)=\dfrac{x^2-6}{3x+10}\\\\\\g(4)=\dfrac{4^2-6}{3\cdot4+10}=\dfrac{16-6}{12+10}=\dfrac{10}{22}=\boxed{\frac{5}{11}}[/tex]

Answer:

Length 18 yds, Width 9 yds

Step-by-step explanation:

2x + 2x + x + x = 54

Combine like terms

6x = 54

Divide both sides by 6

x = 9

Plug 9 into equation above

2(9) + 2(9) + 9 + 9 =

18 + 18 + 18 = 54

Answer:

215

Step-by-step explanation:

60=50

258=?

258 divided by 60 = 4.3

50 x 4.3 = 215