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jonny [76]
3 years ago
7

Formulate a system of equations that could be solved by multiplying one equation by 5 and then adding the two equations together

to eliminate one of the variables.
Mathematics
1 answer:
rjkz [21]3 years ago
4 0
\ \ \ 5 \ (-\frac{1}{5} a = 10 - b) \\ + (2a = 5b -20) \\ \\ a = 30

5× the first equation + the second equation will give an equation of 'a' to its value.
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What is the range of the function f(x) = |x| +2?
kykrilka [37]
Imagine the graph of f(x)=|x|. This can only output positive values (x \geq 0).

Then f(x)=|x|+2 is the same graph shifted upwards by two units meaning it can only output values bigger or equal to than 2. So the range is x \geq 2
5 0
3 years ago
Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service
Pani-rosa [81]
Part A: 6w + 12 = 5w + 15

Part B: 6(8) + 12 = 5(8) + 15
48 + 12 = 40 + 15
60 = 55 = Company B equals $55 which is less than $60

Part C: $5 is saved because of the amount of money.
Hope this helps :)

8 0
3 years ago
Sari is teaching her best friend how to factor trinomials with a leading coefficient greater than 1. She starts with the trinomi
Eva8 [605]

Answer:

See explanation

2x^2+5x+3=(x+1)(2x+3)

Step-by-step explanation:

1. Make sure that the trinomial is written in the correct order - the trinomial must be written in descending order from highest power to lowest power. In you case, the trinomial must be written as

2x^2+5x+3

2. Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.

In your case, coefficients 2, 5 and 3 do not have common factors, so go to the next step.

3. Multiply the leading coefficient and the constant, that is multiply the first and last numbers together:

2\cdot 3=6

4. List all of the factors from step 3 and decide which combination of numbers will combine to get the number next to x:

6=1\cdot 6\\ \\ \bf{6=2\cdot 3}

5. After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3:

2+3=5

6. Rewrite the original problem with four terms by splitting the middle term into the two numbers chosen in step 5:

2x^2+5x+3=2x^2+2x+3x+3

7. Now that the problem is written with four terms, you can factor by grouping:

2x^2 +2x+3x+3=(2x^2+2x)+(3x+3)=2x(x+1)+3(x+1)=(x+1)(2x+3)

6 0
2 years ago
Which unit represents speed?<br><br> joules<br> newtons<br> miles per hour<br> kilometers per second
Usimov [2.4K]

Answer:

Miles per hour  and

Kilometres per second.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A spinner with three equal sectors is spun three times. What is the number of possible outcomes?
Marina86 [1]

Answer:

If they mean written as a fraction, you have three total outcomes. As a fraction you can say 1/3 to say you have a one in three chance of landing on a specific one.

6 0
3 years ago
Read 2 more answers
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