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kirill115 [55]
3 years ago
10

Please help me with this

Mathematics
1 answer:
viktelen [127]3 years ago
6 0

Answer:

zero product property of multiplication

Step-by-step explanation:

step 2 is valid, because for the main expression in step 1 to be true, only one of the 2 factors need to be 0, as

0 × something is always 0.

therefore, it is sufficient to find the values of x that renders the expression of one factor to 0.

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Solve. State the number of solutions.
Oksi-84 [34.3K]

Answer:

a. x=8

b.Step 1: Simplify both sides of the equation.

2(2x−2)=4x−4

(2)(2x)+(2)(−2)=4x+−4(Distribute)

4x+−4=4x+−4

4x−4=4x−4

Step 2: Subtract 4x from both sides.

4x−4−4x=4x−4−4x

−4=−4

Step 3: Add 4 to both sides.

−4+4=−4+4

0=0

Answer:

All real numbers are solutions.

c. Step 1: Simplify both sides of the equation.

3(x+1)=4x+7−x

(3)(x)+(3)(1)=4x+7+−x(Distribute)

3x+3=4x+7+−x

3x+3=(4x+−x)+(7)(Combine Like Terms)

3x+3=3x+7

3x+3=3x+7

Step 2: Subtract 3x from both sides.

3x+3−3x=3x+7−3x

3=7

Step 3: Subtract 3 from both sides.

3−3=7−3

0=4

all credit goes to mathpapa

5 0
2 years ago
From a group of 13 women and ​12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can
Fantom [35]

The total number of ways the study can be selected is: 637065

Given,

Total number of women in a group= 13

Total number of men in a group = 12

Number of women chosen = 8

Number of men chosen = 8

∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.

This in the form of combination factor = nCr

                                                     ∴ nCr = n!/(n₋r)! r!

13C₈ = 13!/(13 ₋ 8)! 8!

        = 13!/5!.8!

        = 1287

12C₈ = 12!/(12₋8)! 8!

        = 12!/5! 8!

        = 495

Now multiply both the combinations of men and women

= 1287 × 495

= 637065

Hence the total number of ways the study group is selected is 637065

Learn more about "Permutations and Combinations" here-

brainly.com/question/11732255

#SPJ10

4 0
2 years ago
Help me please I could really use it!!!!
lyudmila [28]
It is A because you subsitute the x in the equation A) (2x-8)(7x+5)=0 x=4 x=5,7 (fraction)
subtitute the x now and you get
(2(4)-8)(7(-5,7)+5) = 0
5 0
2 years ago
If 60% of the students prefer waffles to pancakes. If there are 5 students in the class, how many students prefer waffles?
AleksandrR [38]

Answer:

Hm mmm

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
The temperature at the south pole was 6 degrees at 8am. At 3 pm it was -18 degrees. By how many degrees did the temperature drop
olga2289 [7]

Answer:

24\°

Step-by-step explanation:

we know that

To determine how many degrees drop the temperature, find out the absolute value of subtract the temperature at 8 am from the temperature at 3 pm.

so

\left|-18-6\right|=24\°

7 0
2 years ago
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