Last year, prices increased due to inflation. This year inflation caused prices to go up again. After the second increase, the price for a certain item became 6 times the original. What was the percent increase of the second increase if the first increase was 50%?

Answer:

[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]

Step-by-step explanation:

Given the two points from the graph, (-3, 1) and (1, -2). Use these points to solve for the slope using the following formula:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

Let (x₁, y₁) = (-3, 1)

     (x₂, y₂) = (1, -2)

Substitute these points into the formula:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {-2\: -\: 1}{1\: -\: (-3)}\:=\:\frac {-2\: -\: 1}{1\: +\:3}\:=\frac{-3}{4}}[/tex]

m = -¾

Therefore, the slope of the given line is -¾.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis.  In order to solve for the y-intercept, we must use the slope, m = -¾, and one of the given points, (1, -2), and substitute these values into the slope-intercept form,  f(x) = mx + b:

f(x) = mx + b

-2 = -¾( 1 ) + b

-2 = -¾ + b

Add ¾ to both sides to solve for b:

-2 + ¾ = -¾ + ¾ + b

[tex]\LARGE\mathsf{y-intercept\:(b)\:=\:-\frac{5}{4} }[/tex]

Given the slope, m = -¾, and y-intercept, b = [tex]\LARGE\mathsf{-\frac{5}{4}}[/tex], the equation of the line in function notation is:

[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]

Answer:

$1.75

Step-by-step explanation:

3.5*2.5=(8.75)/2=4.375*0.4=1.75 dollars

Step-by-step explanation:

4 -1=3 so 4divided by 3= 1.33 so 1.33 as a percent is 133%

c = 1 > 7 =

According to very reliable sources.

Answer:

15

Step-by-step explanation:

it's where you start. where your going to start you slope on the graph which means that the x would be 0

Answer:

the answer is the third

hope it help

Answer:

I think it is 15 ..............

Find all the zeros of the polynomial, and arrange the zeros in increasing order. ...

Plot those numbers on the number line as open or closed points based upon the original inequality symbol.

Choose a test value in each interval to see if the interval satisfies the inequality or not.

Answer:

1= 70

2=110

3=46

4= 102

5= 37

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Easy way: they're conjugate angles relative to the two parallel sides and the trasversal joining them, their sum is 180.

Longer(??) way: In a parallelogram two opposite angles are congruent. Since the sum of the internal angles is 360, a pair of two different angles must sum to 180.

Step-by-step explanation:

In a Parallelogram ABCD , ∠ A + ∠B = 180°

Since , The Adjacent angles in a Parallelogram are Supplementary.

Additional comment:

• In a Parallelogram, Opposite angles are equal

•The sum of two adjacent angles is 180° called Linear pair.

Answer:

Step-by-step explanation:

Inequalities

Chris has a goal to get through at least 14 books:

He has at most 120 hours that he can spend on books:

He wants to complete at least 2 audio books and at least 4 paper books:

Answer:

A = positive  

B = positive, negative

C = negative

D = positive, negative

Answer:

A Positive coordinates (5,5)    B Negative and Positive coordinates (-5,5)  C Negative coordinates (-5,-5)  D Negative and Positive coordinates (5,-5)

Step-by-step explanation:

Pls mark brianlist hope this helps .

Answer:

B is my answer si no sorry

Answer:

20

Step-by-step explanation:

[tex]\frac{2}{15}[/tex] = 40

[tex]\frac{2}{15}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{1}{15}[/tex]

40 ÷ [tex]\frac{2}{1}[/tex] = 20

Answer:

look at the slope rise of 2 run of -1 or other way around so slope is

[tex] y = - \frac{2}{1}x + 5[/tex]

Answer:75 mph

Step-by-step explanation:

g = 64.99 - 4.98

Step-by-step explanation:

If g is the original price then if you subtract the difference between the original price and the current price.

Answer:

1 13/20

Step-by-step explanation:

3/4 divide by 5/11

=3/4 times 11/5

=33/20

Convert

=1 13/20

Answer:

8 pounds

Step-by-step explanation:

"purchased 3 pounds of mac and cheese for $7.50"

You would make this into an equation to figure out the price of one pound of mac and cheese (x):

7.50=3x

x=2.5

Next, you can create an equation to represent the price per pound.

Total price = 2.5(number of pounds)

Now, plug in the information you have:

20 = 2.5x

8=x

Answer: q = -sx

Step-by-step explanation:

Answer:

(5)2 x (a)2

Step-by-step explanation:

Collect the like terms which in this case are 5 and a, then see how many times they show. Put brakets or an index based on how many times the term shows.

Answer:

167.2 m/sec

Step-by-step explanation:

Convert 602 km/hr to m/sec, as follows:

602 km       1000 m

------------ * ----------------- = 602,000 m/hr

    hr               1 km

Recall that 1 hr = 3600 sec.  Convert 602,000 m/hr to m/sec:

602,000 m          1 hr

------------------ * ---------------- = 167.2 m/sec

     1 hr              3600 sec

[tex]y \geqslant - x + 3[/tex]

[tex]y < \frac{1}{2} x + 3 \\ [/tex]

now just put the coordinates of point ( 1 , 1 ) in the above inequalities and check if they correct or wrong :

[tex]1 \geqslant - 1 + 3[/tex]

[tex]1 < \frac{1}{2} (1) + 3 \\ [/tex]

So :

[tex]1 \geqslant 2[/tex]

[tex]1 < 3.5[/tex]

1 is lower than 3.5 of course but geuss what ?

Is 1 higher than 2 or equal to 2 ? Nope not at all

Thus the correct answer would be :

" no , it is not a solution "

Answer:

y+3=5/3(x+6)

Step-by-step explanation:

Since it is parallel to 5x-3y=9, you need to find the slope of that line because then you would find the slope to your line.

5x-3y=9

5x=9+3y

5x-9=3y

y=5/3x-3, and the slope would be 5/3.

Now you can apply point slope form [tex]y-y_{1}=m(x-x_{1} )[/tex] to get an equation.

y+3=5/3(x+6)

Answer: [tex]\frac{5}{3}[/tex]x + 7

Step-by-step explanation:

The motion of the mass as it moves on the bottom of the spring is a

repetitive motion.

Reasons:

The general form of the equation of the simple harmonic motion of the

mass is d = a·sin(ω·t)

Where;

d = The distance of the mass from the rest position

a = The maximum displacement of the mass from the equilibrium position = 6 cm

ω = The frequency of rotation

t = The time of motion

ω = The frequency of rotation

[tex]\displaystyle \omega = \mathbf{\frac{2 \cdot \pi}{T}}[/tex]

Where;

T = The time to complete one cycle (the period of oscillation) = 4 seconds

[tex]\displaystyle \omega = \frac{2 \cdot \pi}{4} = \frac{\pi}{2}[/tex]

Combining the above values gives the modelling equation as follows;

[tex]\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]

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The least prime greater than 17 that is the sum of four different prime numbers is 23

The least prime that is the sum of four different prime numbers is 17

That is, 17 = 2 + 3 + 5 + 7

Prime numbers greater than 17 are 23, 29, 31. 37, 41,........

Prime numbers less than 17 are 2, 3, 5, 7, 11, 13

How can we combine the prime numbers 2, 3, 5, 7, 11, and 13 to give the least prime number greater than 17

The only possible combination is:

2  +  3  +  7  +  11   =  23

Therefore, the least prime greater than 17 that is the sum of four different prime numbers is 23

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Answer:

70.0000000001 meters per second

Step-by-step explanation:

The formula is to multiply by the factor 0.27777777777817.

252 km/h * 0.27777777777817 = 70.0000000001

Answer:

$118.40

2.50x Plus 4 Equal 300

2.50x Equal 296

2.50x/2.50 Equal $118.40

The graph representing a proportional relationship ALWAYS goes through the origin (0, 0).

Recall:

In the proportional relationship graph, the line goes through the origin (0, 0) as shown in the image attached below.

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