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Lelechka [254]
3 years ago
12

Every day, Katie looks for seashells on the beach. She has 28 shells in her collection. Katie finds 12 more shells each day. Wri

te an inequality to determine the number of days, d, it will take Katie to collect over 100 shells.
Mathematics
2 answers:
aalyn [17]3 years ago
4 0
It will take her about 7 days, because :
12*7=84
84+28= 112
112= +100 
(Hope that helps)


andrew-mc [135]3 years ago
3 0
Inequality: 28 + 12d ≥ 100

Where, d = Number of Days.

Solving: Subtract 28 from both sides, 
12d ≥ 72

Divide both sides by 12, 
d ≥ 6

In short, Your Answer would be: At-least 6 days

Hope this helps!
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Dude, you could just use a calculator but the answer is 51.
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Explain two ways you could solve 20 = 5(−3 + x
emmasim [6.3K]

Answer:

7 is x

Step-by-step explanation:

1) Divide both sides by 5 to give

4=-3+x

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x=7

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20=-15+5x

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Which best describes how to get from the origin to the point (–6, 9)? A. Move 6 units down, then 9 units to the right. B. Move 6
ivolga24 [154]
B IS TGE RIGHT AWNSER
4 0
2 years ago
Based on the graph given for f (x) construct the graph of f¹ (x). for f (x) find E, F and the formula of f (x) when it is known
Lostsunrise [7]

Answer:

To find an inverse function, reflect a graph of a function across the line y=x (and find the resulting equation)

To reflect a linear function in the line y=x, find points on f(x) and then swap their x and y coordinates.

Points on f(x):  (0, -4)  (2, 0)  (5, 6)

Points reflected in line y=x:  (-4, 0)  (0, 2)  (6, 5)

Plot points (-4, 0)  (0, 2)  (6, 5) and connect to form a straight line - this is the inverse of the function:  f^{-1}(x)

To determine the equation of f(x):

Choose 2 points on f(x):  (5, 6) and (0, -4)

Calculate the slope (gradient) by using:

m=\dfrac{\triangle y}{\triangle x}=\dfrac{y_2-y_1}{x_2-x_1}=\frac{6--4}{5-0}=2

Using the slope-intercept form:  y = mx + b

(where m is the slope and b is in the y-intercept)

From inspection of the graph, we can see the line crosses the y-axis at -4,

⇒ f(x) = 2x - 4

As the line is actually a line segment (with endpoints (0, -4) and (5, 6), then

f(x) = 2x - 4,   0 ≤ x ≤ 5

To determine the equation of f^{-1}(x):

Rewrite f(x)  as  y = 2x - 4

Swap the x and y:  x = 2y - 4

Rearrange to make y the subject: y= \dfrac{1}{2}(x + 4)

Replace y with f^{-1}(x)

So the equation of the inverse is:   f^{-1}(x)= \dfrac{1}{2}(x + 4)

As the original function is a segment, then

f^{-1}(x)= \dfrac{1}{2}(x + 4), \ \ \ -4\leq x\leq 6

(shown in blue on the attached diagram)

** I can't see any points labelled E and F on the original function. If they are the endpoints of the line segment of f(x), then they are (0, -4) and (5, 6) **

4 0
2 years ago
Which value of a,b, and c correctly represent the answer in simplest form?
Marina86 [1]

Answer:

A

Step-by-step explanation:

first, you turn 3 1/2 into 3 2/4'ths and change 3 two fourth's into 14/4 fraction.

next, you change 2 one fourth into 9/4th's fraction

your equation would be 14/4 divided by 9/4th's = a times b/c

when you used divide, you get get flip one of the fractions being divided, and it could turn into 14/4 TIMES 4 over 9 = a times b/c.

wait this area down here could be wrong:

when you get your equation, multiply them together and you get 56 over 36 equals a times b/c.

A times B /C is equal to 56/36 which can simple out to 28/18 which AGAIN simpled out to 14/9

C IS 9 BECAUSE IT IS THE DENOMINATOR

and because of that, A would be the answer.

8 0
3 years ago
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