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2 years ago

13

one day, duncan and his friends had lunch while sitting at tables of 6. another day, they had lunch at tables of 5. what is the

smallest number of people that could be in the group?

1 answer:

Orlov [11]2 years ago

8 0

Answer:

the smallest number of people that could be in his group with the possibility of it being less than five people, will be three people.

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The graph of x = a is parallel to which axis ?

olasank [31]

The line will be parallel to the y axis

3 0

4 years ago

A sign is 4 1/2 feet wide and 5 1/4 feet long . Find the area of the surface of the sign.

ZanzabumX [31]

Answer: 94.5

Step-by-step explanation:

9/2 × 21/4

Get common denominator

9 × 2 =18

2 × 2 = 4

18/4 × 21/4

21 × 18 = 378

378/4 = 94.5

7 0

4 years ago

The graph of f(x) = -x2 - 2x + 8 is shown. Which of the following describes all solutions for f(x)?

morpeh [17]

Answer:

(x, x2 -2x+8) where −5 ≤ x ≤ 3

Step-by-step explanation:

The given function is f(x)=x2- 2x+ 8

We want to select the option that describes all the solutions to the parabola.

The domain of the parabola is −5 ≤ x ≤ 3.

This means that any x=a on −5 ≤ x ≤ 3 that satisfies (a,f(a)), is a solution.

This can be rewritten as (a,-a2- 2a+ 8)

Therefore for x belonging to −5 ≤ x ≤ 3, all solutions are given by:

(x, x2 -2x+8) where −5 ≤ x ≤ 3.

3 0

3 years ago

Read 2 more answers

Evaluate the following expression: (7 + 5b) + 1 , if b = 3.

Likurg_2 [28]

B= 3

(7+5b)+1
(7+5(3))+1
(7+15)+1=23
22+1=
23

5 0

3 years ago

If the cost, C(x), for manufacturing x units of a certain product is given by

Diano4ka-milaya [45]

Answer:

99 units.

Step-by-step explanation:

The cost function for manufacturing <em>x</em> units of a certain product is:

$C(x)=x^2-15x+34$

We want to find the number of units manufactured at a cost of $8350. Therefore:

$8350=x^2-15x+34$

Subtract 8350 from both sides:

$x^2-15x-8316=0$

This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a = 1, b = -15, and c = -8316. Thus:

$\displaystyle x=\frac{-(-15)\pm\sqrt{(-15)^2-4(1)(-8316)}}{2(1)}$

Simplify:

$\displaystyle x=\frac{15\pm\sqrt{33489}}{2}$

Evaluate:

$\displaystyle x=\frac{15\pm183}{2}$

Therefore, our solutions are:

$\displaystyle x=\frac{15+183}{2}=99\text{ and } x=\frac{15-183}{2}=-84$

We cannot produce negative items, so we can ignore the second answer.

Therefore, for a cost of $8350, 99 items are being produced.

5 0

3 years ago