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Black_prince [1.1K]
2 years ago
10

Expand and simplify (x+6)(x−11)

Mathematics
1 answer:
KatRina [158]2 years ago
7 0

Answer:

x^2 - 5x - 66

Step-by-step explanation:

1. Distrubute the x to the x and -11 so you will get x^2 - 11x

2. Distrubute the 6 to x and -11 and you get 6x - 66

3. Combine like terms (x^2 - 11x + 6x - 66) you will get x^2 - 5x - 66

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What is 5(4+8c) Need Help
zysi [14]

Answer:

40c +20

Step-by-step explanation:

5(4+8c)

Expand

5\times 4 = 20\\5 \times 8c = 40c

= 20+40c\\\\=40c +20

6 0
3 years ago
The table below shows the price, in dollars, for the number of balloons indicated.
zysi [14]
Yes, the price is proportional because you can reduce their fractions:
16/4 = 4
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5 0
3 years ago
10. If x = -2, y=-6 and z= 4, find the value of 4xy<br>Z​
Grace [21]

Answer:

192

Step-by-step explanation:

Given

4xyz ← substitute given values into expression

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5 0
2 years ago
Suppose that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water
Setler79 [48]

Answer:

Step-by-step explanation:

Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.

Let Q(t) be the quantity of salt at time t.

Q(0) = 70 pounds

Inflow of water = outflow = 4 gal/min

So resulting volume of tank at time t = 400 gallons

Rate of change of salt = inflow - outflow

= 0 - \frac{Q(t)}{400}

i.e. \frac{dQ}{dt} =\frac{-Q(t)}{400}

This is a variable separable equation

\frac{dQ}{Q}=-\frac{dt}{400} \\ln Q = {-\frac{t}{400}} +C\\Q = A e^{-\frac{t}{400}}

Use when t =0 Q = 70

A =70

So A(t) = Q(t) = 70 e^{-\frac{t}{400}} and

A(0) = Q(0) = 70 lbs.

7 0
3 years ago
A car travels 568km in 8 1/2 hours. What is the average speed in meters/second?
GaryK [48]

Answer:

The speed would be 60kph

60/60=1

Step-by-step explanation:

60x24=1,440

It would at a speed of 1,440km per day.

In a year it would go 525,600 km.

Every nanosecond it would go 0.0001 cm.

3 0
2 years ago
Read 2 more answers
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