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3 years ago

Simplify: -2(3x-1) + x(3x+2)

Mathematics

2 answers:

ioda3 years ago

5 0

Answer:

-4x+3x power of 2 +2

Step-by-step explanation:

Paul [167]3 years ago

4 0

Answer:

3x² - 4x + 2

Step-by-step explanation:

distribute -2 into (3x - 1) and distribute x into (3x + 2)

=> -6x + 2 + 3x² + 2x

combine like terms

=> 3x² - 4x + 2

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Sharon is paving a rectangular concrete driveway on the side of her house. The area of the driveway is 5x^2 + 43x - 18, and the

tigry1 [53]

The width of the driveway is 5x-2.
The height of the carport is 6x+1.

We complete polynomial long division for both of these.

For the driveway:
Dividing 5x²+43x-18 by x+9, we first see how many times x will go into 5x². It goes in 5x times; we write this in the division problem above 43x. Multiplying back through,
5x(x+9) = 5x²+45x. This goes below 5x²+43x. We now subtract:
5x²+43x-(5x²+45x)= -2x; this goes below the 45x we wrote earlier. Bring down the -18.
Now we see how many times x goes into -2x; it goes -2 times. This goes beside our 5x in our answer at the top. Multiplying back through,
-2(x+9) = -2x-18. This goes below our -2x-18 we had, and gives us an answer of 5x-2 with a remainder of 0.

For the carport:
To divide 48x³+68x²-8x-3 by 8x²+10x-3, we see how many times 8x² will go into 48x³. It will go 6x times; write this above -8x. Multiplying back through,
6x(8x²+10x-3) = 48x³+60x²-18; write this below 48x³+68x²-8x. Now subtract:
48x³+68x²-8x-(48x³+60x²-18) = 8x²+10x; this goes below our 48x³+60x²-18. Bring down the -3.
Now we want to see how many times 8x² will go into 8x². It goes 1 time; write this beside our 6x at the top. Multiplying back through,
1(8x²+10x-3) = 8x²+10x-3; write this below the 8x²+10x-3 we have already down. When we subtract these, we get a remainder of 0, with our answer up top as 6x+1.

4 0

3 years ago

Read 2 more answers

Infiniti sells 8 different models of cars, with 5 different trim levels and 5 color choices. What is the total amount of options

solniwko [45]

Answer:

200

Step-by-step explanation:

Infiniti sells 8 different models of cars, with 5 different trim levels and 5 color choices.

Now, 8 different models of cars with 5 different trim levels have (8 × 5) = 40 choices.

Similarly, with 8 different models of cars, with 5 different trim levels and 5 color choices, there will be total (40 × 5) = 200 options one could choose. ( Answer )

4 0

3 years ago

Multiple choice please answer help

krok68 [10]

From the congruent alternate interior angles resulting from the parallel lines, we have the equation $8x-34=5x+2.$ Solving, we have $x=12^\circ$ and $\angle D E F =5x+2=\boxed{62^\circ}.$

6 0

3 years ago

6 1/2 chocolate chips and 5/2 cups of flour how many more cups of chocolate chips use than cups of flours

PIT_PIT [208]

Answer: 4

Step-by-step explanation:

Amount of chocolate chips = 6 1/2

Amount of cups of flour = 5/2

The cups of flour should be changes to a mixed fraction and this will be 5/2 = 2 1/2

The question simply means we should find the difference between the fractions given and this will be:

= 6 1/2 - 2 1/2

= 4

8 0

2 years ago

Joel made egg sandwiches and tuna sandwiches in the ratio 2:3. He then made 15 more tuna sandwiches and the ratio changed to 1:3

Aleksandr [31]

Answer:

40 sandwiches

Step-by-step explanation:

egg sandwiches : tuna sandwiches

2 : 3

Multiply by x because we do not know how many sandwiches, just the ratio

2x : 3x

Add 15 tuna sandwiches

2x : 3x+15

Now the ratio is 1:3

egg sandwiches : tuna sandwiches

1 : 3

Multiply by y because we do not know how many sandwiches, just the ratio

y : 3y

Set the number of egg sandwiches equal

2x =y

then set the number of tuna sandwiches equal

3x+15 = 3y

We know have a system of 2 equations and 2 unknowns

Substitute y =2x into the second equation

3x+15 = 3(2x)

Distribute

3x+15 = 6x

Subtract 3x from each side

3x-3x+15 = 6x-3x

15 =3x

Divide by 3

15/3 = 3x/3

5 =x

egg sandwiches : tuna sandwiches

2 : 3

Multiply by x because we do not know how many sandwiches, just the ratio

2x : 3x

2*5 3*5

10 15

He originally made 10 egg sandwiches and 15 tuna sandwiches

Then he made 15 more tuna sandwiches

The total number of sandwiches he made is

10+15+15 = 40 sandwiches

5 0

2 years ago