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2 years ago

For the function y = f(x) = 3x -5 What is the y intersection

Mathematics

1 answer:

Jobisdone [24]2 years ago

8 0

Answer:

The y-intercept is -5.

Step-by-step explanation:

In algebra, "y=" and "f(x)=" is basically the same thing. You don't have to write them both. Also, $y=3x-5$ is in slope-intercept form, which is: $y=mx+b$ , where $b$ is the y-intercept. That means "-5" is the y-intercept.

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Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.

-BARSIC- [3]

The cost of one drink is $2.50 and cost of one popcorn is $3.75

<u><em>Explanation</em></u>

Suppose, the cost of one drink is $x$ dollar and cost of one popcorn is $y$ dollar.

Given that, total cost for 2 drinks and 2 popcorns is $12.50 and total cost for 6 drinks and 5 popcorns is $33.75

So, the system of equations will be......

$2x+2y=12.50 ..................................... (1)\\ \\ 6x+5y= 33.75 ..................................... (2)$

Multiplying equation (1) by -3 , we will get.....

$-3(2x+2y)=-3(12.50)\\ \\ -6x-6y=-37.50 ..................................... (3)$

Now, adding equation (2) and equation (3) , we will get ............

$5y-6y=33.75-37.50\\ \\ -y=-3.75\\ \\ y=3.75$

Plugging this $y=3.75$ into equation (1) ......

$2x+2(3.75)=12.50\\ \\ 2x+7.50=12.50\\ \\ 2x=12.50-7.50=5\\ \\ x=\frac{5}{2}=2.50$

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75

6 0

2 years ago

3. What is the converse of the following statement?If M is the midpoint of line segment PQ, then line segment PM is congruent to

Len [333]

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define the converse of a statement

The converse of a statement is formed by switching the hypothesis and the conclusion.

STEP 2: break down the given statements

Hypothesis: If M is the midpoint of line segment PQ,

Conclusion: line segment PM is congruent to line segment QM

STEP 3: Switch the two statements

Hence, the answer is given as:

If line segment PM is congruent to line segment QM, then M is the midpoint of line segment PQ,

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1 year ago

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Whitepunk [10]

Answer:

Step-by-step explanation:

Decimal Form:

3.5

Mixed Number Form:

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C. a-3x=0

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Salsk061 [2.6K]

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