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3 years ago

Ruben bought 6 comic books for $21 dollars sign, 21. What was the cost for 1 comic book?

Mathematics

2 answers:

NeX [460]3 years ago

8 0

Answer:

$3.5

Step-by-step explanation:

Divide 21 by six

Lena [83]3 years ago

6 0

Answer:

$3.5

Step-by-step explanation:

21/6=3.5

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benjamin is 4 years younger the kevan william is 4 years less than twice benjamins age if willian is 22 how old are kevan and be

meriva

Kevin would be 14 and Benjamin would be 10

7 0

3 years ago

Suppose that the number of cars manufactured at an automobile plant varies Jointly as the number of workers and the time they wo

12345 [234]

Answer:

It takes 33 hours to produce 66 cars.

Step-by-step explanation:

When dividing 220 workers buy the amount of cars produced the amount of time spent on making 66 cars is 33 hours.

Easier Explaination:

Divide the amount of workers to the cars produced to find out how many hours it takes.

7 0

3 years ago

PLEASE HELP 100 POINTS!!!!!!

horrorfan [7]

Answer:

A) See attached for graph.

B) (-3, 0) (0, 0) (18, 0)

C) (-3, 0) ∪ [3, 18)

Step-by-step explanation:

Piecewise functions have <u>multiple pieces</u> of curves/lines where each piece corresponds to its definition over an <u>interval</u>.

Given piecewise function:

$g(x)=\begin{cases}x^3-9x \quad \quad \quad \quad \quad \textsf{if }x < 3\\-\log_4(x-2)+2 \quad \textsf{if }x\geq 3\end{cases}$

Therefore, the function has two definitions:

$g(x)=x^3-9x \quad \textsf{when x is less than 3}$

$g(x)=-\log_4(x-2)+2 \quad \textsf{when x is more than or equal to 3}$

When <u>graphing</u> piecewise functions:

Use an open circle where the value of x is <u>not included</u> in the interval.
Use a closed circle where the value of x is <u>included</u> in the interval.
Use an arrow to show that the function <u>continues indefinitely</u>.

<u>First piece of function</u>

Substitute the endpoint of the interval into the corresponding function:

$\implies g(3)=(3)^3-9(3)=0 \implies (3,0)$

Place an open circle at point (3, 0).

Graph the cubic curve, adding an arrow at the other endpoint to show it continues indefinitely as x → -∞.

<u>Second piece of function</u>

Substitute the endpoint of the interval into the corresponding function:

$\implies g(3)=-\log_4(3-2)+2=2 \implies (3,2)$

Place an closed circle at point (3, 2).

Graph the curve, adding an arrow at the other endpoint to show it continues indefinitely as x → ∞.

See attached for graph.

The x-intercepts are where the curve crosses the x-axis, so when y = 0.

Set the <u>first piece</u> of the function to zero and solve for x:

$\begin{aligned}g(x) & = 0\\\implies x^3-9x & = 0\\x(x^2-9) & = 0\\\\\implies x^2-9 & = 0 \quad \quad \quad \implies x=0\\x^2 & = 9\\\ x & = \pm 3\end{aligned}$

Therefore, as x < 3, the x-intercepts are (-3, 0) and (0, 0) for the first piece.

Set the <u>second piece</u> to zero and solve for x:

$\begin{aligned}\implies g(x) & =0\\-\log_4(x-2)+2 & =0\\\log_4(x-2) & =2\end{aligned}$

$\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b$

$\begin{aligned}\implies 4^2&=x-2\\x & = 16+2\\x & = 18 \end{aligned}$

Therefore, the x-intercept for the second piece is (18, 0).

So the x-intercepts for the piecewise function are (-3, 0), (0, 0) and (18, 0).

From the graph from part A, and the calculated x-intercepts from part B, the function g(x) is positive between the intervals -3 < x < 0 and 3 ≤ x < 18.

Interval notation: (-3, 0) ∪ [3, 18)

Learn more about piecewise functions here:

brainly.com/question/11562909

3 0

2 years ago

Yadier killed 3 4/5 miles from the Nature Center to the waterfall. Then he hiked another 2 2/3 miles to Overlook Point. How far

EastWind [94]

Answer: estimate 7

exact: 6 7/15

Step-by-step explanation: for the estimate round 3 4/5 to 4 and 2 2/3 to 3 and 4 + 3 = 7

for the exact number convert 3 4/5 to 3 12/15

and convert 2 2/3 to 2 10 /15

then add 3 + 2 = 5

and 12/15 + 10/15 = 22/15

convert 22/15 to a mixed number which is 1 7/15

then 5 + 1 7/15

answer 6 7/15

hope this helps mark me brainliest if it helped

7 0

3 years ago

How do I solve the inequality, graph the solution set, and write it in interval notation for -8x+3 ≥ 3(6-x)?

Ksju [112]

Answer:

I only know how to solve it, it is -3

Step-by-step explanation:

-8x+3> or = 18-3x

3>or= 5x+18

-15> or = 5x

x>or=-3

5 0

3 years ago