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Amanda [17]
3 years ago
6

Find the product of (4z^2 + 7z – 8) and (–z + 3).

Mathematics
1 answer:
san4es73 [151]3 years ago
8 0

Answer:

5, 29 will both blank boxes

Step-by-step explanation:

the product of (4z^2 + 7z – 8) and (–z + 3)

(4z² + 7z – 8)(–z + 3)

-z(4z² + 7z – 8) + 3(4z² + 7z – 8)

-4z³-7z²+8z+12z²+21z-24

choose like terms

-4z³-7z²+12z²+8z+21z-24

-4z³+5z²+29z-24

5, 29

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Round 40.2 to the next number
Aleksandr-060686 [28]

Answer:

40

Step-by-step explanation:

2 is less than 5 round down

4 0
3 years ago
What is the place value of the 6 in the number 96,745
patriot [66]
<span>place value of the 6 in the number 96,745 is 6,000</span>
8 0
4 years ago
In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s
MaRussiya [10]

Answer:

The mentioned number in the exercise is:

  • <u>362</u>

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

  • x = hundredths digit
  • y = tens digit
  • z = ones digit

We can write:

  1. x = z + 1 (the hundreds digit is one more than the ones digit).
  2. y = 2x (the tens digit is twice the hundreds digit).
  3. x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

  • x + y + z = 11
  • (z + 1) + y + z = 11 (remember x = z + 1)
  • z + 1 + y + z = 11
  • z + z +y + 1 = 11 (we just ordered the equation)
  • 2z + y + 1 = 11 (z + z = 2z)
  • 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
  • 2z + y = 10
  • 2z + (2x) = 10 (remember y = 2x)
  • 2z + 2x = 10
  • 2z + 2(z + 1) = 10 (x = z + 1 again)
  • 2z + 2z + 2 = 10
  • 4z + 2 = 10
  • 4z = 10 - 2
  • 4z = 8
  • z = 8/4
  • <u>z = 2</u>

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

  • x = z + 1
  • x = 2 + 1
  • <u>x = 3</u>

And we'll use the second equation to obtain the value of y (the tens digit):

  • y = 2x
  • y = 2(3)
  • <u>y = 6</u>

Organizing the digits, we obtain the number:

  • Number = xyz
  • <u>Number = 362</u>

As you can see, <em><u>the obtained number is 362</u></em>.

8 0
3 years ago
Simplify quantity x plus 3 over 9 all over quantity x plus 12 over 6.
valina [46]
<span><span><span><span>Simplify: x+3/</span>9</span><span><span>x / x+12/</span><span>x+6</span></span></span>
Rewrite the equation by multiplying the reciprocal of </span>
<span><span>x+12/<span>x+6
</span></span><span><span>Now the problem will be as follows, x+3</span>/9</span> ×<span> 6<span>/x+12
The answer is 2(x + 3) / 3 (x + 12).
</span></span></span>




5 0
3 years ago
Read 2 more answers
RATES AND RATIOS
docker41 [41]
Blue to orange
6 : 5
24 : x

24 \div 6 = 4 \\ 5 \times 4 = 20

There are 20 orange M&M's.

Hope this helps. - M
6 0
3 years ago
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