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2 years ago

Consider the quadratic function.

1 answer:

4 0

A standard form for the quadratic function is
f(x) = ax² + bx + c
where the coefficients are a,b, and c.

The given quadratic function is
f(p) = p² - 8p - 5
When this function is compared to the standard form, with p replacing x, we obtain
a = 1 because the leading term is 1*p²,
b = -8 because the linear term is -8*p,
c = -5 because the constant term is -5.

Answer:
Of the answers given the correct one is the 3rd one:
a = 1, b = -8, c = -5.

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students at river view middle school are allowed to wear two different colors of uniform shirts. A survey of students at the sch

Vladimir79 [104]

Answer:

18 students are likely to be wearing red

Step-by-step explanation:

From the question, we know a student either wears red , or blue, with the probability of a student wearing red is 3 times more probable than wearing white.

So, let’s say out of the 24 students, x of them are wearing white. What this practically mean is that 3 * x = 3x of the students would be expected to be wearing red.

Now, adding the number of people wearing red and white together in terms of x, we have x + 3x = 4x

We equate this to 24; 4x = 24 and x = 24/4; x = 6

The number wearing red probably is 3 * x = 3 * 6 = 18 people

5 0

2 years ago

On two investments totaling $6,000, Brian lost 7% on one and earned 8% on the other. If his net annual receipts were $420, how m

lianna [129]

Answer:

the amount of money invested at the rate of 7% is $400

the amount of money invested at the rate of 8%. Is $5600

Step-by-step explanation:

Let x represent the amount of money invested at the rate of 7%.

Let y represent the amount of money invested at the rate of 8%.

The total amount of money that Brian invested is $6000. This means that

x + y = 6000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time

Considering the investment at the rate at 7%,

P = x

R = 7%

T = 1

I = (x × 7 × 1)/100 = 0.07x

Considering the investment at the rate of 8%,

P = y

R = 8

T = 1

I = (y × 8 × 1)/100 = 0.08y

If his net annual receipts were $420, it means that

0.08y - 0.07x = 420 - - - - - - - - -1

Substituting x = 6000 - y into equation 1, it becomes

0.08y - 0.07(6000 - y) = 420

0.08y - 420 + 0.07y = 420

0.08y + 0.07y = 420 + 420

0.15y = 840

y = 840/0.15 = 5600

x = 6000 - y = 6000 - 5600

x = 400

8 0

2 years ago

The price of an all-access ticket to the fair is $42.99 before tax. Roland bought the all-access ticket for 40% off. He then pai

yanalaym [24]

<h2>Answer:</h2>

PART A:

$ 1.80558

PART B:

$ 27.59958

<h2>Step-by-step explanation:</h2>

The price of an all-access ticket to the fair is $42.99 before tax.

Also,

Roland bought the all-access ticket for 40% off.

i.e. he will have to pay (100-40)%=60% of the amount of the actual ticket.

This means that the price of ticket after the offer will be:

$=60\%\ of\ 42.99\\\\=\dfrac{60}{100}\times 42.99\\\\=0.60\times 42.99\\\\=\$ 25.794$

Hence, discounted price=$ 25.794

Now, Ronald has to pay 7% sales tax on the discounted price.

i.e.

he has to pay 7% tax on 25.794

i.e.

$=7%\times 25.794\\\\=\dfrac{7}{100}\times 25.794\\\\=0.07\times 25.794\\\\=\$ 1.80558$

PART A:

Hence, the amount of sales tax=$ 1.80588

PART B:

The total amount that he will pay for the ticket is:

Amount of tax+Discounted price

= 1.80558+25.794

= $ 27.59958

7 0

2 years ago

in the drawing six out of every 10 tickets are winning tickets of the winning tickets one out of every three awards is a larger

Dafna11 [192]

$Answer: P(\text{a ticket is randomly chosen will award a large prize)}=\frac{2}{21}$

Since we have given that

Total number of tickets =10

Number of winning tickets =6

$\text {Possibility of getting a winning ticket }=^{10}C_6$

In which one out of every three awards is a large prize

so,

$\text{ Possibility of getting a large prize }=^6C_3$

Now,

$P(\text{a ticket is randomly chosen will award a large prize)}=\frac{^6C_3}{^{10}C_6}\\\\=\frac{20}{210}\\\\=\frac{2}{21}$

$P(\text{a ticket is randomly chosen will award a large prize)}=\frac{2}{21}$

8 0

2 years ago

Read 2 more answers

Maria's Grocery Store buys grapefruit at a cost

Amanda [17]

Answer: 25 grapefruits

Step-by-step explanation:

They buy grapefruit at a price of 5 per dollar. This means that the price per grapefruit is:

= 1 / 5

= $0.20 per grapefruit.

They then sell at a price of 5 per $3. The selling price per grapefruit is:

= 3 / 5

= $0.60

The profit per grapefruit is:

= 0.60 - 0.20

= $0.40

In order to make a profit of $10, they should sell:

= 10 / 0.4

= 25 grapefruits

4 0

2 years ago