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koban [17]
2 years ago
9

What is the quotient (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

Mathematics
1 answer:
Bess [88]2 years ago
5 0
See attached picture for answer

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If 2x+9<32 then x could be
Y_Kistochka [10]

Answer:

x < 11.5

Step-by-step explanation:

2x + 9 < 32

(2x + 9) - 9  < 32 - 9

2x < 23

2x/2 < 23/2

x < 11.5

3 0
2 years ago
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Bill and Joe leave their house at the same time heading in opposite directions. If Bill is driving three times faster than Joe a
Arisa [49]

The problem statement gives you the relationship between their speeds, and it gives you information you can use to find their total speed. You solve this by finding the total speed, then the proportion of that belonging to Bill.

The total speed is (120 mi)/(3 h) = 40 mi/h.

The speed ratio is ...

... Bill : Joe = 3 : 1

so the speed ratio Bill : Total is ...

... 3 : (3+1) = 3:4.

Bill's speed is (3/4)×(40 mi/h) = 30 mi/h.

4 0
2 years ago
28 deliveries in 4 hours = ____ deliveries per hour
schepotkina [342]
28÷4=7
so 7<span>deliveries per hour</span>
3 0
2 years ago
It takes 32 hours for a motorboat moving downriver to get from pier A to pier B. The return journey takes 48 hours. How long doe
lina2011 [118]

Answer:

Time taken by the un powered raft to cover this distance is T = 192.12 hr

Step-by-step explanation:

Let speed of boat = u \frac{km}{hr}

Speed of current = v \frac{km}{hr}

Let distance between A & B = 100 km

Time taken in downstream = 32 hours

32 = \frac{100}{u +v}

u + v = \frac{100}{32}

u + v = 3.125 ------ (1)

Time taken in upstream = 48 hours

48 = \frac{100}{u -v}

u -v = \frac{100}{48}

u - v = 2.084 ------- (2)

By solving equation (1) & (2)

u = 2.6045 \frac{km}{hr}

v = 0.5205 \frac{km}{hr}

Now the time taken by the un powered raft to cover this distance

T = \frac{100}{v}

Because un powered raft travel with the speed of the current.

T = \frac{100}{0.5205}

T = 192.12 hr

Therefore the  time taken by the un powered raft to cover this distance is

T = 192.12 hr

3 0
2 years ago
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A flower pot’s base has six sides that are all the same length. Each side measures x−6x-6 units. The base’s perimeter is 78 unit
NemiM [27]

Answer: The answer is x = 19.

Step-by-step explanation:  Given that a flower pot has a base with six equal sides of measurement (x - 6) units. We are to find the value of the unknown quantity 'x' if the perimeter of the base is 78 units.

We know that the perimeter of a polygon is given by the sum of the lengths of all the sides of the polygon.

Since each side of the six-sided base is (x - 6) units, so its perimeter will be

6\times(x-6)~\textup{units}.

According to the question, we have

6(x-6)=78\\\\\Rightarrow x-6=13\\\\\Rightarrow x=19.

Thus, the value of 'x' is 19 units.

6 0
2 years ago
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