Four equivalent forms of a quadratic function are given. Which form displays the zeros of function h?

John and his friend ordered lunch at a local sandwich shop. They each ordered a soft drink that costs $1.65. John orders a whole

ExtremeBDS [4]

Answer:

a. $12.54 = $ 1.65 + c/2 + c b. $ 7.26

Step-by-step explanation:

a. What equation can you use to find the cost c of a sandwich

Let c be the cost of a whole ham sandwich. Now, the total bill = cost of drinks + cost of half a ham sandwich + cost of a whole ham sandwich.

total bill = $ 12.54, cost of drinks = $ 1.65, cost of half a ham sandwich = c/2 and cost of a whole ham sandwich = c. So,

$12.54 = $ 1.65 + c/2 + c

b. What is the value of c

We then solve for c in the equation $12.54 = $ 1.65 + c/2 + c

collecting like terms, we have

$12.54 - $ 1.65 = c/2 + c

$ 10.89 = 3c/2

multiplying through by 2, we have

$ 10.89 × 2 = 3c

$ 21.78 = 3c

dividing through by 3, we have

c = $ 21.78/3

= $ 7.26

4 0

3 years ago

The admission fee is $1.50 for children and $4.00 for adults. If 2700 people enter and $7800 is collected how many children and

Snowcat [4.5K]

Answer:

1200 children and 1500 Adults

Step-by-step explanation:

Suppose x be the children and y be the adults as total people are 2700 that have entered so we can write an equation as

x+y=2700 (Equation 1)

and as per child $1.50 is the cost and $4 for every adult and collectively we have got $7800 so we can write the equation as

1.50x+4y=7800 (Equation 2)

Extracting the value of y from equation 1

Y=2700-x (Equation 3)

Putting the value of y from equation 3 into equation 2

1.50x+4(2700-x)=7800

1.50x+10800-4x=7800

1.50x-4x=7800-10800

-2.5x=-3000

Cancellation of negative signs on both sides

x=3000/2.5

x=1200

Putting the value of x in equation 3 to get the value of y

y=2700-1200

y=1500

5 0

3 years ago

A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c

Lana71 [14]

Answer:

405

Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

$n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q }{E^2}$

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of (1 - confidence level)/2. Use the calculator function of invNorm to find the z-score. The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p. For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

$n =\frac{(1.645)^2*0.84*0.16}{(0.03)^2}\\n= 404.0997333$

Round up to the next number, giving you 405.

6 0

3 years ago

Can someone please heeellppp?!

Nataly_w [17]

Answer:

B

Step-by-step explanation:

the question asks you to order from least to greatest by the exponents. So it would be "B" because negative 6 is less then -5 and -5 is less then 1

3 0

3 years ago

Read 2 more answers

-3 1/2=1/2 x+1/2 x+x simplified?

Elina [12.6K]

-3 1/2 = 1/2x + 1/2x + x
- 7/2 = 2x
(-7/2) / 2 = x
-7/2 * 1/2 = x
- 7/4 (or - 1 3/4) = x

4 0

3 years ago