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inessss [21]
3 years ago
5

Create an expression equivalent to 3 (4x -2) -5x+10 using the least number of terms. please show your work.

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Answer:

7x+4

Step-by-step explanation:

Distribute:

=(3)(4x)+(3)(−2)+−5x+10

=12x+−6+−5x+10

Combine Like Terms:

=12x+−6+−5x+10

=(12x+−5x)+(−6+10)

=7x+4

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The sum of all three numbers is 12. The sum of twice the first number, 4 times the second number, and 5 times the third number i
DaniilM [7]

Answer:

The numbers are 7, 4 and 1

Step-by-step explanation:

Let the numbers =x, y, z.

The sum of all three numbers is 12, x+y+z=12--------i

The sum of twice the first number, 4 times the second number, and 5 times the third number is 35, 2x+4y+5z=35-------ii

The difference between 8 times the first number and the second number is 52, 8x-y=52---------iii

Now, from (i),z =1-x-y--------iv

substitute (iv) in (ii),

2x+4y+5(12-x-y)=35

2x+4y+60-5x-5y=35

collect like terms

-3x-y=-25

that is, 3x-y=25--------v

solving (iii) and (v) simultaneously (add iii and v), we have

11x=77

divide both sides by 11 to obtain x=7

Put x=7 in (v)

3(7)+y=25

21+y=25

implies y=25-21=4

put x=7 and y=4 in (iv)

z=12-7-4=1

Hence, the numbers are 7, 4 and 1.

4 0
2 years ago
-x²-8x-16=0 <br>what is the solutions by solving by quadratic equations ​
Alika [10]

Answer:

x = - 4

Step-by-step explanation:

Given

- x² - 8x - 16 = 0 ( multiply through by - 1 to clear the leading negative )

x² + 8x + 16 = 0 ← this is a perfect square

(x + 4)² = 0 ( take the square root of both sides )

x + 4 = 0 ( subtract 4 from both sides )

x = - 4

6 0
2 years ago
On a piece of paper, graph yz -2x - 2. Then determine which answer choice
alukav5142 [94]

Answer:

B

Step-by-step explanation:

y≥-2x-2

put x=0,y=0

0≥-2

which is true.

so (0,0) lies on it.

graph is a solid line.

so B satisfies it.

3 0
3 years ago
A bin contains 10 cards labeled A to J and 20 cards labeled 1 to 20. The cards are shuffled and one card is chosen at random. Wh
Fudgin [204]
So you ave a 3 out of 10 chance to get a letter in eh word DIG then you have a 1 in 2 chance of drawing an odd number add those together.

13 out of 30 chance

Simplify if necessary, hope this helps
7 0
3 years ago
Pls pls help i realy need help
lisov135 [29]

Answer:

a <= 3

Step-by-step explanation:

4 0
3 years ago
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