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Inessa [10]
3 years ago
5

Jack’s backpack weighs 15 pounds. Fernando’s backpack weighs less than Jack’s. Which graph shows how much Fernando’s backpack ca

n weigh?

Mathematics
2 answers:
Molodets [167]3 years ago
8 0

Answer:b

Step-by-step explanation: it has a filled in diamond which mean it's that...

MrMuchimi3 years ago
3 0

Answer:

A

Step-by-step explanation:

c and d out of the question

b has its circle filled in meaning it could be 15lbs, which it's not

A correct answer by default

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What is the minimum value for g(x)=x^2-10x+16? Enter your answer in the box.
Anna71 [15]

Answer:

- 9

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

add/subtract (half the coefficient of the x- term)² to x² - 10x

g(x) = x² - 10x + (- 5)² - (- 5)² + 16

      = x² - 10x + 25 - 25 + 16

     = (x - 5)² - 9 ← in vertex form

vertex = (5, - 9), hence

minimum value = - 9

6 0
4 years ago
a quantity of y varies partly as x and partly as the square of x. when x=2 ,y=14 and when x=5, y=65. Find y when x=-2​
lorasvet [3.4K]
X\times 2 bc it is correct I think I’m not sure but yeah
6 0
3 years ago
Hamburger Hut sells regular hamburgers as well as a larger burger. Either type can include cheese, relish, lettuce, tomato, must
Studentka2010 [4]

Answer:

a) 40 different hamburgers can be ordered with exactly three extras

b) 20 different regular hamburgers can be ordered with exactly three extras

c) 7 different regular hamburgers can be ordered with at least five extras

Step-by-step explanation:

The order in which the extras are ordered is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem:

2 options of hamburger(regular or larger)

6 options of extras(cheese, relish, lettuce, tomato, mustard, or catsup.).

(a) How many different hamburgers can be ordered with exactly three extras?

1 hamburger type, from a set of 2.

3 extras, from a set of 6. So

C_{2,1}*C_{6,3} = \frac{2!}{1!(2-1)!}*\frac{6!}{3!(6-3)!} = 2*20 = 40

40 different hamburgers can be ordered with exactly three extras

(b) How many different regular hamburgers can be ordered with exactly three extras?

3 extras, from a set of 6. So

C_{6,3} = \frac{6!}{3!(6-3)!} = 20

20 different regular hamburgers can be ordered with exactly three extras

(c) How many different regular hamburgers can be ordered with at least five extras?

Five extras:

5 extras, from a set of 6. So

C_{6,5} = \frac{6!}{5!(6-5)!} = 6

Six extras:

6 extras, from a set of 6. So

C_{6,6} = \frac{6!}{6!(6-6)!} = 1

6 + 1 = 7

7 different regular hamburgers can be ordered with at least five extras

8 0
3 years ago
Assuming that boy and girl babies are equally likely, what would be Kathy's probability of having at most one daughter if she
JulijaS [17]

Answer: 0.3125.

Step-by-step explanation:

  • The chance of having a boy is 0.5,
  • the chance of having a girl is also 0.5.

<u>Outcome 1: all boys</u>

boy  boy  boy  boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 2: first child is a girl, all others are boys</u>

girl   boy   boy   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 3: second child is a girl, all others are boys</u>

boy   girl   boy   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 4: third child is a girl, all others are boys</u>

boy   boy   girl   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 5: fourth child is a girl, all others are boys</u>

boy   boy   boy   girl

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Therefore,

0.0625 + 0.0625 + 0.0625 + 0.0625 + 0.0625 = 0.0625 * 5 = 0.3125

4 0
2 years ago
£880 is divided between Jim, Krutika &amp; Natasha so that Jim gets twice as much as Krutika, and Krutika gets three times as mu
krok68 [10]

Answer:

264 pounds

Step-by-step explanation:

Write the question in the form of a ratio:

Natasha: Krutika: Jim

1:3:6

Now, we divide the amount of 880 in the ratio.

there are 10 parts in total.

1 part = 880 divided by 10 = 88.

since Krutika gets 3 parts, she gets 88 x 3 = 264

7 0
4 years ago
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