The Consumer Price Index (CPI), which measures the cost of a typical package of consumer goods, was 202.2 in 2011 and 244.6 in 2016. Let x = 11 correspond to the year 2011 and estimate the CPI in 2014 and 2015. Assume
that the data can be modeled by a straight line and that the trend continue indefinitely Use two data points to find such a line and then estimate the requested quantities

Answer:

point B (8, 6)

Step-by-step explanation:

Given the linear graph of a vertical line, x = 8:

The solution to the given linear equation is any ordered pair that is found along the line of the graph.

Out of the given options, point B, (8, 6) is located on the line. Therefore, it is one of the solutions to the linear equation, x = 8.

Answer:

11

Step-by-step explanation:

39 - 6 / 3

= (39 - 6) / 3

= 33 / 3

= 11

Answer:

a-2

Step-by-step explanation:

(3a-6)/3 You can factor the numerator to 3(a-2) so you have

[tex]\frac{3(a-2)}{3}[/tex]

simply divide by the 3->

a-2

If f(x) = g(x)

Then :

(x-4)/(x²+1) = (x² - 4) / (x²+ 1)

We can simplify on both sides by x² + 1 :

x - 4 = x² - 4

x = x²

x - x² = 0

x(1-x) = 0

So either x = 0, or x = 1

S = {0,1}

Good Luck

Answer:

Step-by-step explanation:

( x , y )

( 0 , - 4 )

( 1 , - 1.5 )

[tex]y_{1}[/tex] = - 4

[tex]y_{2}[/tex] = - 1.5

Answer:

1. 6 2. 10 3. 5

for others see below

Step-by-step explanation:

1. 6 feet

2. 10 holes

3. 5 papers

1./-3/3=3*3=9

2. /3/3=3*3=9

3./-2/=2

4./-6/=6

5./9/=9

6. /-15/=15

7. /-32/=32

8. /32/=32

9. /-47/=47

10. /78/=78

Answer:

17

Step-by-step explanation:

∠C is common in both triangles

equate them

∠C = 180- (x + 100) = 180 - ( 4x + 49)

x + 100 = 4x + 49

100 - 49 = 3x

51 = 3x

x = 51/3 = 17

Answer:

X=4

Step-by-step explanation:

1. Simplify the expression

2. Multiply the fractions:

3. Break up the fraction:

4. Find the greatest common factor of the numerator and denominator:

5. Factor out and cancel the greatest common factor:

6. Simplify the fraction:

7. Multiply the fractions:

8.Solve by distributing:

9. Simplify the arithmetic:

10.Break up the fraction:

11. Find the greatest common factor of the numerator and denominator:

12. Factor out and cancel the greatest common factor:

13.Combine the fractions:

14. Combine the numerators

15. Find the greatest common factor of the numerator and denominator:

16. Factor out and cancel the greatest common factor:

17. Simplify the right side:

Answer:

23

Step-by-step explanation:

l

l

l

l

ll

ll

l

l

l

Check the picture below.

Combine the like terms:

3/7x + 1/7x = 4/7x

4 + -2 = 4-2 = 2

Answer: 4/7x + 2

Answer:

20

Step-by-step explanation:

4r - 3r = 20

r = 20

There you go.

Answer:

r = 20

Step-by-step explanation:

Let's solve your equation step-by-step.

4r − 3r = 20

Step 1: Simplify both sides of the equation.

4r − 3r =20

4r + −3r =20

(4r + −3r) =20 (Combine Like Terms)

r = 20

Hope this helps

Answer:

~$331 - *16 hours

Step-by-step explanation:

~ $20x5=$100

~ $21x11=$231

~ $231+$100=$331

* 5+11=16

x=4,5,6

x=4

[tex]\\ \sf\longmapsto y=3(4)+10[/tex]

[tex]\\ \sf\longmapsto y=12+10=22[/tex]

x=5

[tex]\\ \sf\longmapsto y=3(5)+10=15+10=25[/tex]

x=6

[tex]\\ \sf\longmapsto y=3(6)+10=18+10=28[/tex]

Step-by-step explanation:

y = 3x + 10

Soo :

y = 3(4) + 10 = 12 + 10 = 22

y = 3(5) + 10 = 15 + 10 = 25

y = 3(6) + 10 = 18 + 10 = 28

Answer:

(2, 1)

Step-by-step explanation:

graph 3x+y=7 and x=2y

make both slope intercept form for easier graphing

y=-3x+7

2y=x, y=1/2x

(2, 1)

check

3*2+1=7

6+1=7

7=7

1=1/2*2

1=1

Answer:

C. Q′ (−3, −4)  

D. Q′ (−4, −3)

Step-by-step explanation:

From looking at the graph it looks like the answer would be

Q= (3, -4) if the X-axis goes first

Q= (-4, 3) if the Y-axis goes first

Answer:

?

Step-by-step explanation:

You can’t know that, because you don’t know how many total apples there are.

Step-by-step explanation:

I'm sorry could you maybe send more information so I could help you

The left pic :

[tex]x = 46 \times \cos(70°) [/tex]

[tex]x = 46 \times 0.342[/tex]

[tex]x = 15.732[/tex]

_____________________________________________

The right pic :

[tex] \tan(18°) = \frac{15}{x} \\ [/tex]

[tex]0.325 = \frac{15}{x} \\ [/tex]

Thus :

[tex]x = \frac{15}{0.325} \\ [/tex]

[tex]x = 46.1538[/tex]

There u go ...

Have a great day ❤

9514 1404 393

Answer:

  1

Step-by-step explanation:

Any (non-zero) number divided by itself is 1.

_____

This is a fact that has many uses in problem solving and units conversion.

Step-by-step explanation:

gjr      jrijtigjtitrg  rkgtrigjkjgkfrijr      l      

Answer:

1/3 or 33.33 %

Step-by-step explanation:

this is because there is 30 shirts and all and 10 white. 10/30 is 1/3, or 33.33%

Answer:

likely

If there are 8 red shirts, 12 blue shirts, and 10 white shirts. The answer would be likely

Answer:

(3,7)

Step-by-step explanation:

n will be located in x positive , y positive

Answer:

Im not sure about A but other then that B and D have greater values then one

Step-by-step explanation:

[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{A}\qquad \cfrac{3^{-2}}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{\cfrac{3^3}{1}}\implies \cfrac{1}{3^3\cdot 3^2}\implies \cfrac{1}{3^5}\implies \cfrac{1}{243}\qquad \textit{\large \checkmark}[/tex]

[tex]\boxed{B}\qquad \cfrac{5^3}{5^2}\implies 5^3\cdot 5^{-2}\implies 5^{3-2}\implies 5^1\implies 5\qquad \bigotimes \\\\\\ \boxed{C}\qquad 9^0\implies 1\qquad \bigotimes \\\\\\ \boxed{D}\qquad \cfrac{(2^3)^2}{2^2}\implies \cfrac{2^{3\cdot 2}}{2^2}\implies \cfrac{2^6}{2^2}\implies 2^6\cdot 2^{-2}\implies 2^4\implies 16\qquad \textit{\large \checkmark} \\\\\\ \boxed{E}\qquad \cfrac{2^3}{2^8}\implies 2^3\cdot 2^{-8}\implies 2^{3-8}\implies 2^{-5}\implies \cfrac{1}{2^5}\implies \cfrac{1}{32}\qquad \bigotimes[/tex]

Answer:

True

Step-by-step explanation:

Since m<1 and m<7 is equal to m<3 and m<5, therefore m<1 is also equal to m<5

Answer:

How many minutes in total did Mason spend practicing and studying? ... P= $43,024, r= 0.0875 ? Per day , t= 90 days.

Step-by-step explanation:

Answer:

bilmiyom bu kadar cevap

Answer:

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

Have a nice day and I hope this helps!

[tex] \: \: \: \: \: \: [/tex]

Step-by-step explanation:

speed= Distance/Time

Time Distance/Speed

[tex] \: \: \: \: \: \: [/tex]

Answer:

y = 9/2 - 5/2(x)

Step-by-step explanation:

I think this is right

Answer:

N 2.4 ∘ W  or Bearing  357.6 ∘

672.2x  km/hr

Step-by-step explanation: