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2 years ago

If h(x) = f(x) - g(x) = 2x, at what x-value will f(x) = g(x) + 20?

Mathematics

1 answer:

Olegator [25]2 years ago

8 0

Answer:

Step-by-step explanation:

This is a neat question

f(x) - g(x) = 2x Add g(x) to both sides

f(x) = g(x) + 2x

Now you need the right hand side to have 20 added to g(x).

2x must = 20

2x = 20 Divide by 2

x = 20/2

x = 10

So the answer must be x = 10

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Mr Coope drives 472 miles in 8 hours. At this rate, how many miles would he drive in 6

KatRina [158]

8hrs = 480mins
6hrs = 360 mins
472/480 = 0.983...
0.983... x 360 = 354
D) 354

6 0

2 years ago

What is the equation of the line that represents the horizontal asymptote of the function f(x)=25,000(1+0.025)^(x)?

posledela

Answer:

The answer is below

Step-by-step explanation:

The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.

$\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\$

$Since\ \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0$

5 0

2 years ago

What is the sum of all the positive integers from √ 24 to √ 102 ?

Eva8 [605]

Answer:

The sum of all positive integers is

5 + 6 + 7 + 8 + 9 + 10

= 45

Step-by-step explanation:

Because $\sqrt{24} = 4.89$ and $\sqrt{102} = 10.09$

So positive numbers between 4.9 and 10.09 are

5+6+7+8+9+10 = 45

Brainliest will be appreciated.

7 0

2 years ago

A man jogs to the shop and back in half an hour on the way he jogs at 4m/s and on the way back he jogs at 5m/s ignoring time spe

pochemuha

Ratio 4:5
There are 9 total.
30 mins = 1800 secs.
1800 divided by 9 = 200
200 secs = 3mins 20secs
200 is one "part" of the ratio, so multiply it by 4, then 5
800:1000
This is the important one
V
13mins, 20secs: 16mins 40secs
Distance is speed x time,
16mins x 4 = 64
40 secs = 2/3
x 4 = 1.6666
Distance to shop - 65.6m

5 0

3 years ago

Please help with this question!! I need serious help!!

Marysya12 [62]

Answer:

D) It is doubled

Step-by-step explanation:

Regardless of the side length, if the area of a square is quadrupled, the side lengths get doubled, as shown in the diagram. If all of the side lengths are doubled, that means the perimeter is also doubled.

8 0

3 years ago