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2 years ago

Also need help with this question

Mathematics

2 answers:

Lilit [14]2 years ago

5 0

Answer:

Using PEDMAS, you would have to do the parentheses part first(you would multiply 5 by 4 and 5 by -1.5x.

Step-by-step explanation:

ollegr [7]2 years ago

4 0

Do combine like terms or distributive property then the equation will be set as 5 x 2.5x + 12 = 4x - 2

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Stan drives 30 minutes a day commuting to and from work. He drove h hours this week. How many days did he work?

Maksim231197 [3]

Stan worked 2h days this week

Step-by-step explanation:

The given is:

Stan drives 30 minutes a day commuting to and from work
He drove h hours this week

We need to find how many days he worked

∵ Stan drives 30 minutes a day

∵ 1 hour = 60 minute

∴ 30 minutes = $\frac{30}{30}=\frac{1}{2}$ hour

∴ Stan drives $\frac{1}{2}$ hour a day

∵ He drove h hours this week

- To find the number of days that he worked divide the total

hours he drove in this week by the hour he drives in a day

∴ The number of days = h ÷ $\frac{1}{2}$

- Change the division sign to multiplication sign and reciprocal the

fraction after the division sign

∵ The reciprocal of $\frac{1}{2}$ = $\frac{2}{1}$ = 2

∴ The number of days = h × 2

∴ The number of days = 2h

Stan worked 2h days this week

Learn more:

You can learn more about word problems in brainly.com/question/2977815

#LearnwithBrainly

6 0

3 years ago

I NEED HELP WITH QUESTION PLEASE!!<br> What is the inverse of f(x)<br> (x) = (x-4)² for x ≥ 4?

goblinko [34]

Answer:

4th choice $\bold{f^{-1}(x) = \sqrt{x} + 4}$

Step-by-step explanation:

<u>Definition of the inverse of a function</u>

A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x. The domain of f becomes the range of g and the range of f becomes the domain of g

To solve for the inverse of the function $f(x) =\left(x-4\right)^2$

Let $y=\left(x-4\right)^2$

$\mathrm{Replace}\:x\:\mathrm{with}\:y$ $\text{ and replace }\:y\:\mathrm{with}\:x$

$x=\left(y-4\right)^2$

Switch sides
$\left(y-4\right)^2=x$

Take square roots on both sides
$y-4=\pm\sqrt{x}$

Add 4 on both sides to solve for y

$y = \pm\sqrt{x} + 4$

We have two solutions

$y=\sqrt{x}+4,\:y=-\sqrt{x}+4$

To determine which one of these to be chosen not that in the given choices we can eliminate the first two since x cannot be negative

The third choice can also be eliminated since
$-\sqrt{x} + 4$ is a decreasing function for $x \ge 0$

So the last answer choice is correct and the inverse of $f(x) = (x-4)^2$

is given by $f^{-1}(x) = \sqrt{x} + 4$

Answer:4th choice $\bold{f^{-1}(x) = \sqrt{x} + 4}$

Note

Domain of (x-4)² is [4, ∞) since x ≥ 4 and (x-4)² cannot be negative

Range of (x-4)² is [0, ∞)

Domain of $\sqrt{x}\:+\:4$ is [0, ∞)

Range of $\sqrt{x}\:+\:4$ is [4, ∞)

so indeed the domain of (x-4)² has become the range of $\sqrt{x}\:+\:4$ and the range of (x-4)² has become the domain of $\sqrt{x}\:+\:4$

5 0

9 months ago

Sad song time

Vsevolod [243]

Answer:

wow

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What is the annual rate for I = $160.67, P = $2000, t = 8 months?

7nadin3 [17]

It would be: r = I * 100 / P * R
r = 160.67 * 100 / 2000 * 2/3
r = 16067*3 / 4000
r = 48201 / 4000
r = 12.05

So, your final answer is 12.05%

Hope this helps!

3 0

2 years ago

A road bike has a wheel diameter of 622 mm. What is the circumference of the wheel? Use 3.14 for pi

Ghella [55]

Answer:

Circumference ≅ 195 mm

Step-by-step explanation:

The circumference of a circle is equal to: $2*\pi *radius$