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3 years ago

Determine if the relation is a function. In your handwritten work, explain why or why not.

Mathematics

1 answer:

Anna35 [415]3 years ago

6 0

Answer:

Step-by-step explanation:

Its not a function. The reason its not a function is because it doesnt pass the vertical line test. You could graph these points physically or you could think about it. The domain is the x value, while the range is the allowed y values. So by having the same x value relate to two different y values, just makes no sense. Imagine the function is x+4 and we are given in that graph that when x equals 6, the y equals 9 and 10. That isnt possible because we know the answer is 10, not 9, it cant be both.

Another way you could prove this is by graphing. If you try to take the slope in that interval where 6 coorelates to two y values. The change in y is 1, but the change in x is 0. When you divide 1/0, your calculator blows up. Try it

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3 years ago

Kyle's car repair costs $1000. He has 2 coupons which could save him $80 off of $1000, or 15% off of $1000. EXPLAIN WHICH COUPON

never [62]

Answer:

Kyle would save more using his 15% off of $1000 coupon.

Explanation:

15 ÷ 100 • 1000 = 150

1000 - 150 = $850

$150 is the amount the 15% coupon took off.

$850 is the amount Kyle will pay.

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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

3 years ago

Give right answers for good review

Rainbow [258]

Answer:

45 im not sure doe

Step-by-step explanation:

6 0

3 years ago

The product of nine and a number is added to six the result is 24 what is the number

Andru [333]

Hello!

We can make an equation based on what we know

The product of 9 and a number is

9 * x

Added to six

9 * x + 6

Gives the result of 24

9 * x + 6 = 24

Now you solve it algebraically

Subtract 6 from both sides

9 * x = 18

Divide both sides by 9

x = 2

The answer is 2

Hope this helps!

8 0

3 years ago