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3 years ago

If y=3x+4 we're changed to y=5x+4 how would the graph of the new function compare to the first one

Mathematics

1 answer:

dusya [7]3 years ago

5 0

Answer:

A. It would be steeper

Step-by-step explanation:

In the linear equation y = mx + b, m is the slope and b is the y intercept.

In this problem, the function is changed to have a larger slope of 5, compared to the original slope of 3. But, the y intercept stays the same.

Since the y intercept remained the same, it will not be shifted in any direction.

But, with a larger slope, the graph will be steeper.

So, the correct answer is A. It would be steeper

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Samantha has a shelf that is 95 over 4 inches wide. How many books can Samantha arrange on the shelf if each book is 5 over 4 in

love history [14]

Answer:

Option 1 - 19, because the number of books is 95 over 4 divided by 5 over 4

Step-by-step explanation:

Given : Samantha has a shelf that is 95 over 4 inches wide.

To find : How many books can Samantha arrange on the shelf if each book is 5 over 4 inches thick?

Solution :

The thickness of shelf = $\frac{95}{4}$ inches

Each book thickness = $\frac{5}{4}$ inches

Let the total number of books that could be arranged in the shelf be 'n'.

$\text{Number\ of\ books\ arranged}=\dfrac{\text{Thickness\ of\ shelf}}{\text{Thickness\ of\ one\ book}}$

Substitute the values,

$n=\dfrac{\dfrac{95}{4}}{\dfrac{5}{4}}$

$n=\dfrac{95\times 4}{5\times 4}$

$n=\dfrac{95}{5}$

$n=19$

Therefore, option 1 is correct.

19, because the number of books is 95 over 4 divided by 5 over 4

4 0

3 years ago

2 mixed numbers between 3 and 4 that have a product between 9 and 10

Pavel [41]

2 4
3 4 4 5 9 10 10 8

3 0

4 years ago

1. What is the slope of the line that passes through the given points? (2, 12) and (6, 11)

Y_Kistochka [10]

Answer:

-1/4x

Step-by-step explanation:

11-12/6-2 = -1/4

8 0

3 years ago

Taryn is shopping for a Christmas tree. At Home Depot the one she likes is $149.00 and she has a 15% off coupon. At Lowe's the o

Vitek1552 [10]

Answer:

Step-by-step explanation:

At home depot

Price of Christmas tree = $149.00

Discount = 15%

Amount discounted = 15% of $149

Amount discounted = 15/100 * $149

Amount discounted = 15 * 1.49

Amount discounted = $22.35

Amount she paid = $149-$22.35

Amount she paid = $126.65

At Lowe's:

Price of Christmas tree = $175.00

Discount = 260%

Amount discounted = 20% of $175

Amount discounted = 20/100 * $175

Amount discounted = 0.2 * 175

Amount discounted = $35

Amount she paid = $175-$35

Amount she paid at Lowe's = $140

From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.

Amount she will save will be $140 - $126.65 = $13.35

6 0

3 years ago

Frankie runs every third day Ryan runs every sixth day.In the next 100 days how many times will Frankie and Ryan run on the same

Papessa [141]

Answer:

16 times

Step-by-step explanation:

To find how many times Frankie and Ryan run on the same day in the next 100 days, find the common multiples of 3 days and 6 days to 100 days

Frankie (every third day) = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99.

Ryan (every sixth day) = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.

Common multiples of 3 days and 6 days = 12, 18, 24, 30, 36, 42, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.

Frankie and Ryan will run on the same day 16 times in the next 100 days

6 0

3 years ago