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kherson [118]
3 years ago
11

What is the simplified form of (x – 2)(2x +3)? Use the Distributive Property. (1 point)

Mathematics
1 answer:
Alecsey [184]3 years ago
7 0
1. 2x2 – x – 6
2. 12x2 – x –6
3. 4p2 – 18p + 8
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Maximize Q=3xy^2, where x and y are positive numbers such that x+y^2=2
Ivanshal [37]
Sub x = 2-y^2 to Q, we get:
Q = 3(2-y^2)*y^2
let y^2 = k
Q = 3(2-k)k = 3(2k-k^2)
2k-k^2 has a max when k = 1
Then y^2 = 1 -> y = 1 or -1
6 0
3 years ago
Look at the figure, FHJM. find the length of HJ​
Nat2105 [25]

Answer:

HJ=42\ m

Step-by-step explanation:

we know that

In a parallelogram opposite sides are equal and parallel

The figure FHJM is a parallelogram

so

FH=JM=36\ m

HJ=FM=42\ m

therefore

HJ=42\ m

6 0
3 years ago
Round each whole number to the given place value.
Kazeer [188]

We have to round each whole number to the given place value.

We have to round the number 437 to the tens place.

Since the digit at the tens place is 3.

Since the digit at its previous place that is ones place is '7' which is greater than 5.

Therefore, we can round the number 437 to 440.

Now, consider the another number 64,328, we have to round this number to the nearest ten thousand place.

Since the digit at ten thousands place is 6.

And the digit at its previous place that is, at thousands place is 4.

Since this number is less than 5.

Therefore, the given number will round to 60,000.

4 0
3 years ago
A distribution of values is normal with a mean of 99.5 and a standard deviation of 83.2. find p26, which is the score separating
Lynna [10]
A suitable calculator shows the score of 46.0 separates the bottom 26% from the top 74%.

5 0
3 years ago
A body and tackle with a velocity ratio of 5 is used to raise a mass of 50kg through a vertical distance of 20n at a steady rate
matrenka [14]

a. Distance moved by effort = 1 meter

b. Work done by effort = 80 Joules

c. Losses in energy = 18 Joules

<h3>How to determine the parameters</h3>

a. Note that velocity ratio is defined as the ratio of a distance through which any part of a machine moves to the distance moved by its parts

Velocity ratio = distance moved by the effort/distance moved by the body

Where velocity ratio = 5

vertical distance = 20cm

Distance moved by effort = 5 × 0. 20 = 1 meter

b. Formula for work done is given as ;

Work done = Effort × distance moved by effort

Work done = 80 × 1

Work done = 80 Newtons

c. First, let's find the work output

Work output = m g h

Work output = 50 × 9.8 × 0. 20

Work output = 98 Joules

Losses in energy = Work output - work done

Losses in energy = 98 - 80

Losses in energy = 18 Joules

Learn more about work done here:

brainly.com/question/25573309

#SPJ1

7 0
2 years ago
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