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Gala2k [10]
3 years ago
12

Rewrite (3x + 2)(x - 3) in standard form

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0

Answer:

3x^2-7x+6

Step-by-step explanation:

Standard from: ax^2+bx+c

(3x+2)(x-3)

We just need to multiply these two binomials together.

When doing multiplication we get:

3x^2-9x+2x-6

3x^2-7x+6

This is in standard form so the answer is 3x^2-7x+6

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Mike works in a toy store. One week, he worked 38 hours and made $220. The next week, he received a raise, so when he worked 30
garik1379 [7]

Answer:

$0.21

Step-by-step explanation:

Let x be the amount of money earned per hour before raise and y be amount of money earned per hour after raise.

We have been given that before raise he worked 38 hours and earned $220. We can represent this information as: 38x=220

We are also told that the next week, he received a raise. After raise he worked 30 hours and made $180. We can represent this information as: 30y=180.

Let us solve for x and y.

x=\frac{220}{38}

x=5.7894736842105263

Therefore, before raise Mike earned $5.7894 per hour.

y=\frac{180}{30}

y=6

Therefore, after raise Mike earned $6 per hour.

Now let us subtract 5.7894 from 6 to find Mike's raise.

\text{Amount of raise}=6-5.7894

\text{Amount of raise}=0.2106\approx 0.21

Therefore, amount of Mike's raise to the nearest cent is $0.21.

8 0
4 years ago
The sum of two consecutive even integers is 18 what are the two integers ​
Anna [14]

Answer:

8 and 10

Step-by-step explanation:

a) simply 8+10

b) by eqn : 2n+2n+2=18, 2*2n=16, 2n=8, hence 8 and 10.

4 0
3 years ago
Find mZDOC.<br> A)<br> 22°<br> B)<br> 44°<br> C)<br> 107<br> D)<br> 126
Snezhnost [94]

Answer:

timber

Step-by-step explanation:

nobody has ever seen a single person in the world

3 0
3 years ago
Simplify the following expresion. Classify the resulting polynomial 4x(x+1)-(3x-8)(x+4) A) quadratic monomial B) quadratic trino
lana66690 [7]

Answer:

Quadratic binomial

Step-by-step explanation:

4x(x+1) - (3x-8)(x+4)

Open parenthesis

(4x^2+4x) - (3x^2+12x-8x-32)

(4x^2+4x - 3x^2-12x+8x+32)

Collect like terms

4x^2-3x^2+4x+8x-12x+32

=x^2+32

Quadratic binomial

6 0
3 years ago
train travelling at a uniform speed covers a distance of 255 km in Find the speed of the train and 3 4/5 1 1/2 the distance cove
serg [7]

The speed of the train is <u>150 km/hour</u>.

The distance covered by the train in 3 4/5 hours is <u>570 km</u>.

The speed of a body is calculated using the formula, <u>speed = distance/time.</u>

The distance covered is calculated using the formula, <u>distance = speed*time</u>.

The time taken by a body is calculated using the formula, <u>time = distance/speed</u>.

In the question, we are asked for the speed of a train, when it covers a distance of 225 km in 1 1/2 hours.

Distance = 225 km.

Time = 1 1/2 hours = 1.5 hours.

<u>Speed = Distance/Time</u> = 225/1.5 km/hour = 150 km/hour.

Now, we are asked to calculate the distance covered by the train in 3 4/5 hours.

Speed = 150 km/hour.

Time = 3 4/5 hours = 3.8 hours.

<u>Distance = Speed*Time</u> = 150*3.8 km = 570 km.

Thus, the speed of the train is <u>150 km/hour</u>.

The distance covered by the train in 3 4/5 hours is <u>570 km</u>.

The provided question is incorrect. The correct question is:

"A train at a uniform speed covers a distance of 225 km in 1 1/2 hours. Find the speed of the train and the distance covered in 3 4/5 hours.

Learn more about speed, time, and distance at

brainly.com/question/17146782

#SPJ1

6 0
2 years ago
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