Which describes the range of the parent absolute value function?

Cecily's teacher held a raffle. To win the raffle, a student has to pick a paper scroll with an integer written on it. The chart

AfilCa [17]

Complete question :

Cecily’s teacher held a raffle. To win the raffle, a student has to pick a paper scroll with an integer written on it. The chart shows the scrolls picked by Cecily and her friends.

Name

Paper Scroll

Cecily

A scroll labeled 6.7.

Marty

A scroll labeled negative 37.

Jon

A scroll labeled StartFraction 7 Over 9 EndFraction

Fiona

A scroll labeled 3 and one-third.

Who picked the winning scroll?

Cecily picked the winning scroll.

Marty picked the winning scroll.

Jon picked the winning scroll.

Fiona picked the winning scroll.

Answer:

Marty picked the winning scroll.

Step-by-step explanation:

Based on the rule given in other to win, the winning scroll is that which has integer value written on it.

An integer simply means a number devoid of fraction. Hence, it could be a positive or negative while number.

Given that the students pick below :

Cecily = 6.7 (not an integer)

Marty = - 37 (integer)

Jon = 7/9 (not an integer)

The only scroll which meets the condition of being an integer is Marty's scroll ; Hence, she picked the winning scroll.

7 0

3 years ago

If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to ma

Lemur [1.5K]

Answer:15 ft

Step-by-step explanation:

Given

The total perimeter needed is $40\ ft$

The available width of the room is $w=5\ ft$

Suppose l is the length of the room

So, the perimeter of a rectangle-shaped room is $2(l+w)$

Putting values

$\Rightarrow 40=2(l+5)\\\Rightarrow l+5=20\\\Rightarrow l=15\ ft$

5 0

3 years ago

GIVING 20 POINTS! PLEASE HELP!

yulyashka [42]

Answer:

Option C

Step-by-step explanation:

x + 6) 3x⁴ + 20x³ + 14x² + 17x + 30 (3x³ + 2x²+ 2x + 5

3x⁴ + 18x³

2x³ + 14x²

2x³ + 12x²

2x² + 17x

2x² + 12x

5x + 30

5x + 30

0

Therefore, quotient is (3x³ + 2x²+ 2x + 5).

Option C is the correct option.

7 0

3 years ago

Decrease £2155.45 by 18.5% Give your answer rounded to 2 DP

RSB [31]

Answer:

£1756.70

Step-by-step explanation:

2155.45 * .185 = 398.75825

21.55.45 - 398.75825 = 1756.69175

Hope this helps

3 0

3 years ago

Read 3 more answers

Loren drove 200 miles at a certain rate, and his wife, Lois, drove 100 miles at a rate 10 mph slower. If Loren had driven for th

NeX [460]

As long as Loren drove, the law of motion was

$200 = st_1 \implies t_1 = \dfrac{200}{s}$

As long as Loid drove, the law of motion was

$100 = (s-10)t_2 \implies t_2 = \dfrac{100}{s-10}$

So, the total time they took is

$t_1+t_2=\dfrac{200}{s}+\dfrac{100}{s-10}$

Had Loren driven the whole time, the law of motion would have been

$300=st_3 \implies t_3 = \dfrac{300}{s}$

And we know that this time would have been 30 minutes (i.e. 0.5 hours) faster. So, we have

$t_3 = t_1+t_2-0.5$

This translates into

$\dfrac{300}{s}=\dfrac{200}{s}+\dfrac{100}{s-10}-\dfrac{1}{2}$

If we subtract 200/s from both sides, we have

$\dfrac{100}{s}=\dfrac{100}{s-10}-\dfrac{1}{2}$

We can simplify the right hand side by summing the two fractions:

$\dfrac{100}{s-10}-\dfrac{1}{2} = \dfrac{200-(s-10)}{2(s-10)}=\dfrac{210-s}{2(s-10)}$

So, we have to solve

$\dfrac{100}{s}=\dfrac{210-s}{2(s-10)}$

If we cross multiply the denominators, we have

$200(s-10)=s(210-s) \iff 200s-2000=210s-s^2 \iff s^2-10s-2000=0$

Which yields the solutions

$s=-40,\quad s=50$

We accept the positive solution, because the negative would mean to travel backwards, so Loren's rate was 50mph

5 0

3 years ago

Read 2 more answers