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Arturiano [62]
3 years ago
11

Math 7a using number sense to solve equations

Mathematics
1 answer:
Anika [276]3 years ago
6 0
Simple...

you have: \frac{n}{3} =12


and

\frac{n}{3} =-12

To solve for....\frac{n}{3} =12

Multiply to remove the denominator-->>

3*  \frac{n}{3} =12*3

n=12*3

n=36

Then-->>>

\frac{n}{3} =-12

Do the same thing-->>

3* \frac{n}{3} =-12*3

n=-12*3

n=-36

Thus, your answer.



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1) Suppose f(x) = x2 and g(x) = |x|. Then the composites (fog)(x) = |x|2 = x2 and (gof)(x) = |x2| = x2 are both differentiable a
Rufina [12.5K]

Answer:

This contradict of the chain rule.

Step-by-step explanation:

The given functions are

f(x)=x^2

g(x)=|x|

It is given that,

(f\circ g)(x)=|x|^2=x^2

(g\circ f)(x)=|x^2|=x^2

According to chin rule,

(f\circ g)(c)=f(g(c))=f'(g(c)g'(c)

It means, (f\circ g)(c) is differentiable if f(g(c)) and g(c) is differentiable at x=c.

Here g(x) is not differentiable at x=0 but both compositions are differentiable, which is a contradiction of the chain rule

3 0
3 years ago
Given the expression ‘6 more than twice a number’, what is the value of the expression if the number is equal to 5?
stepan [7]

Answer:

Expression: 2x + 6

Value of the expression when x = 5: 16

Step-by-step explanation:

Let's first focus on the expression: '6 more than twice a number'. Twice a number is the same as saying two times a number. Let's have that number be represented by x. Twice a number would mean 2x, and 6 more than that would just be 2x + 6.

We'll then plug in 5 for x to get the value of the expressinn:

2(5) + 6 = 10 + 6 = 16

5 0
3 years ago
PLEASE SHOW FULL SOLUTIONS!!! WILL MARK BRAINLIEST FOR BEST ANSWER!!
Lubov Fominskaja [6]

Answer:

  • The first option: $265.05

Step-by-step explanation:

<h3>Option 1</h3>

<u>Payment as sequence:</u>

  • 11.75, 12.10, 12.45, ...

<u>This is an AP with:</u>

  • The first term a = 11.75
  • Common difference d = 0.35
  • Number of terms n = 18

<u>Find the sum of the first 18 terms:</u>

  • S₁₈ = (a + a₁₈)*18/2 = (a + a + 17d)*9 = (11.75*2 + 17*0.35)*9  = $265.05
<h3>Option 2</h3>

Flat rate $14.50 per hour

<u>The sum is:</u>

  • $14.50*18 = $261.00

<u>Compared, we see the first option pays more:</u>

  • $265.05 > $261.00
5 0
2 years ago
Tasty Donut Shack charges $4.00 for 6 donuts. At this rate, what is the charge for 4 dozen donuts?
ElenaW [278]
$4.00 for 6 donuts would mean $1.50 per donut. There are 48 donuts in 4 dozen. $1.50 times 48 is $72. The correct answer is $72.
Hope this helped!
3 0
3 years ago
Abby went to the store to buy ice cream for her party. Each box costs $3. She has a coupon for 20% off her total. If Abby buys 3
ollegr [7]

Answer: 7.2$

hope it helps :)

step-by-step explanation:

Cost of each box = 3$

Cost of 3 boxes without 20% coupon = 9$

With 20% off Coupon = 9 by 100 multiplied by 20

                                     (the zero's cut with each other leaving)

                                     = 9 by 10 multiplied by 2

                                     (9 multiplied by 2 = 18)

                                     = 18 by 10

                                     (18 divided by 10 = 1.8)

                                     = the 20% of 9$ is equal to 1.8

                                        when subtracted with the total cost leaves 7.2$

4 0
3 years ago
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