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DanielleElmas [232]
3 years ago
14

What is the product of 2x+ 3 and 4x2 - 5x+ 6?

Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer:

8x³ - 25x² - 3x + 18

Step-by-step explanation:

(2x + 3)(4x²- 5x + 6)

multiply 2x by each of the three terms in the second expression to get:

8x³ - 10x² + 12x

now multiply 3 by each of the three terms in the second expression to get:

12x² - 15x + 18

Combine 'like terms': -10x² + (-15x²) = -25x²

Combine 'like terms':  12x + (-15x) = -3x

Put all terms in decreasing exponent order:

8x³ - 25x² - 3x + 18

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The sum of a number times 8 and 21 is less than -16.
vodka [1.7K]

Hello.

First of all, let the number be t.

8 times t can be written like this:

\mathrm{8t}

Notice that the number is before the variable and the times sign (×) is not there.

We can write it as 8×t, but we usually write it as 8t.

The sum of means we add:

8t+21

Now, "less than" is "<" :

\mathrm{8t+21 < -16}

Therefore, the answer is

\mathrm{8t+21 < -16}

I hope it helps.

Have a nice day.

\boxed{imperturbability}

7 0
2 years ago
2. It costs Edgar $2.65 one way to ride the bus to work. He uses the bus to go to and from work four days per week. He buys a bo
Maurinko [17]
$27

2.65 x 2 (since he has to go both to and from work each day) = $5.30
Add the daily cost of the water bottle (1.45) to make his total cost for one day, which is 6.75
Multiply this number by 4 (because he goes 4 days a week) to get $27 for one week.
6 0
2 years ago
N= 7/3T+17 <br> Solve the equation for T
LenaWriter [7]
7/3T=N-17
T=3/7(N-17)
T=3/7N -51/7
5 0
2 years ago
Use the table below and write an equation to show the relationship between x and y
MAXImum [283]

Answer:

d

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
I need to know number six and thank you guys for all the help
Zigmanuir [339]

Answer:

D

Step-by-step explanation:

First of all, a very easy way is to count all the rectangles and then count the squares that are shaded and have balloons.

You'll get 7 squares that are shaded and have balloons and 16 rectangles in total.

So the fraction will be \frac{7}{16}

Another simple way is to just multiply \frac{7}{8} and \frac{1}{2}

\frac{7}{8}*\frac{1}{2}=\frac{7}{16}

4 0
3 years ago
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