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3 years ago

For the following graph , determine the coordinates of the vertex and the y intercept of the parabola.

Mathematics

2 answers:

Rus_ich [418]3 years ago

7 0

Answer:

Vertex : 5

Y - intercept : (0,-4)

Step-by-step explanation:

-4 is on the y-axis.

Vertex is the maximum or the minimum point of the parabola.

lukranit [14]3 years ago

3 0

-4 on the x axis is the answer

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Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p

kap26 [50]

Answer:

$4800+183x\geq 8000$

She must sell at least 18 policies to make an annual income of at least $8,000

Step-by-step explanation:

Let $x$ be the number of policies Mrs. Robinson must sell

We know that Mrs. Robins makes 3% on commission for each policy sold. We also know that the average price of a policy is $6,100, so she makes 3% of $6,100 per policy sold. To find the 3% of $6,100 we just need to multiply 3% and $6,100; then dive the result by 100%:

$\frac{3*6,100}{100} =183$

Now we know that she makes $183 per policy sold. Since $x$ is the number of policies sold, $183x$ is her total commission for selling $x$ policies.

We also know that She makes $4,800 per year, so her total annual income is her salary plus her commissions, in other words:

$4800+183x$

Finally, we know that she wants to make at least $8,000, so her salary plus her commissions must be greater or equal than $8,000:

$4800+183x\geq 8000$

Let's solve the inequality:

1. Subtract 4800 from both sides

$4800-4800+183x\geq 8000-4800$

$183x\geq 3200$

2. Divide both sides by 183

$\frac{183x}{183} \geq \frac{3200}{183}$

$x\geq 17.48$

Since she can't sell a fraction of a policy, we must round the result to the next integer:

$x\geq 18$

We can conclude that she must sell 18 policies to make an annual income of at least $8,000.

7 0

3 years ago

one-gallon jugs of water are shipped in cartons containing 12 jugs. how many cartons are needed for 876 jugs to be shipped?

lana66690 [7]

My best guess is that 73 cartons are needed. Here's how:

876/12 ( because the jugs are shipped in cartons containing 12) = 73

This is just a guess, I'm sorry if someone proves me wrong, but this is what I have.

4 0

3 years ago

3 csc^2(2x) + 2 cosec 2x = 1-cot^2(2x)

asambeis [7]

I am assuming you want to solve for x:-

Now cosec^2 2x = 1 - cot^2 2x so the equation becomes

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

2 cosec^2 2x + 2 cosec 2x = 0

2 cosec 2x ( cosec 2x + 1) = 0

so 2 cosec 2x = 0 or cosec 2x = -1

cosec 2x = 0 or cosec 2x = -1

cosec 2x = 0 is indeterminate so we ignore the first one

cosec 2x = -1 can be written as 1 / sin 2x = -1

so sin 2x = -1

giving 2x = 270 degrees

Therefore x = 135 degrees answer

3 0

3 years ago

An engineer's compensation package includes the total cost of a $175-per-month health insurance plan, the total cost of a $55-pe

never [62]

55000+175(12)+55(12)
55000+2100+6607
57760

The answer is A.

3 0

3 years ago

PLEASE HELP<br><br> the question is in the picture above ^^

lesya692 [45]

Answer: it’s B

Step-by-step explanation:

6 0

2 years ago