Given:
The function is
[tex]g(x)=(\dfrac{1}{5})^x[/tex]
To find:
The correct ordered pairs.
Solution:
We have,
[tex]g(x)=(\dfrac{1}{5})^x[/tex]
For x=3,
[tex]g(3)=(\dfrac{1}{5})^3[/tex]
[tex]g(3)=\dfrac{1}{125}[/tex]
So, the ordered pair is [tex](3,\dfrac{1}{125})[/tex].
For x=-2,
[tex]g(-2)=(\dfrac{1}{5})^{-2}[/tex]
[tex]g(-2)=(5)^2[/tex] [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]
[tex]g(-2)=25[/tex]
So, the ordered pair is [tex](-2,25)[/tex].
For x=1,
[tex]g(1)=(\dfrac{1}{5})^1[/tex]
[tex]g(1)=\dfrac{1}{5}[/tex]
So, the ordered pair is [tex](1,\dfrac{1}{5})[/tex].
For x=-1,
[tex]g(-1)=(\dfrac{1}{5})^{-1}[/tex]
[tex]g(-1)=(5)^1[/tex] [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]
[tex]g(-1)=5[/tex]
So, the ordered pair is (-1,5). This is the correct answer.
Therefore, the correct option is D.
Simplify fully 5x^2 x 3y^4 x 2x x y^3
Plzzz helppppp !!!!! Write this as an equation that represents the function
Step-by-step explanation:
y = mx + c
When x = 0, y = 2.
=> (2) = m(0) + c, c = 2.
When x = 3, y = 8.
=> (8) = m(3) + 2, 3m = 6, m = 2.
Hence the answer is y = 2x + 2.
What is the exponent in the power of 10?
Clear selection
If I double a number, subtract 3 and the answer is 7, what number did I start 1 point
with?
10
5
4
6
Answer:
5
Step-by-step explanation:
if you double 5 you get 10 and if you remove 3 you get 7
Answer:
5
Step-by-step explanation:
since 5 +5 = 10 then you'd subtract 3 u would end up with 7
a=5 and c=13 what is the value of b?
Answer: 8 is the answer
Step-by-step explanation:
Answer:
13.928
Step-by-step explanation:
use the quotient rule to find the derrivatives of 3/x^2
Answer:
f'(x) = -6/x³
Step-by-step explanation:
We are given;
f(x) = 3/x²
Using quotient rule, we can write as;
f(x) = g(x)/h(x)
To find the derivative, from quotient rule, we can write;
f'(x) = [(h(x)*g'(x)) - (g(x)*h'(x))]/(h(x))²
g'(x) = 0
h'(x) = 2x
Thus;
f'(x) = [(x²*0) - (3*2x)]/(x²)²
f'(x) = -6x/x⁴ = -6/x³
f'(x) = -6/x³
So what the answer for “Kelly has $5.38 in her account before receiving her $832.19 paycheck. She writes checks for rent and car insurance in the amounts of $359.82 and $72.38. She also withdraws $30. What is her current balance?” ? Please I need this answer right away please
Answer: $375.37
Step-by-step explanation:
From the question, we are told that Kelly has $5.38 in her account before receiving her $832.19 paycheck. We are further told that she writes checks for rent and car insurance in the amounts of $359.82 and $72.38 and that she also withdraws $30.
Her current balance will be:
= $5.38 + $832.19 - $359.82 - $72.38 - $30
= $375.37
Her current balance is $375.37
The hanger image below represents a balanced equation,
6
21
Find the value of d that makes the equation true.
MY
d=
Answer:
The value of d that balances the equation is d=15
Step-by-step explanation:
Equations
We are given an image with a hanger that represents a balanced equation.
If the equation is balanced, then the 'weights' of each side should be equal.
On the right side, there is 21 and on the left side, there are 6 and d.
Adding both, we have 6+d on the left side.
Equating both sides:
6 + d = 21
To find d, we subtract 6 on both sides:
d = 21 - 6
d = 15
The value of d that balances the equation is d=15
Answer:
d=15
Step-by-step explanation:
6+d=21
so that means d=15
6+15=21
hope this helped! :)
Mikah is proving the base angles of this triangle are congruent.
In isosceles triangle QRS, RT is the angle bisector of ∠QRS. Mikah begins the proof by stating ∠1≅∠2. What is a valid reason for this statement?
A. Definition of Angle Bisector
B. Reflexive Property of Congruence
C. Symmetric Property of Congruence
D. Corresponding angles are congruent.
Answer:
its B
Step-by-step explanation:
3a + 2b = 9 and 8x + 6y = 60
the question is wrong as it should be either both A's and B's or X and y
19. Mel cleans houses.
She earns $7.50 every hour that she dusts.
She earns $10.00 every hour that she scrubs floors.
She scrubbed floors for 1 1/2 hours and dusted for hours.
How much money did Mel earn?
Answer: $45
Step-by-step explanation: 10 for the hour she scrubbed the floor half of that which is 5 for the half hour she scrubbed so that would be $15, then 7.50 times 4 for the hours she dusted which would be 30, and 30 plus 15 is 45
Can someone help me! Please
Answer:
4c - 2
Step-by-step explanation:
Add up all the terms to find the perimeter.
2c + 2(c - 1)
2c + 2c - 2
4c - 2
Therefore, the perimeter is 4c - 2.
Select the equation that represents the graph above.
y=x√−2y is equal to square root of x minus 2 , ,
y=x√+2y is equal to square root of x plus 2 , ,
y=x+2y is equal to x plus 2 , ,
y=x+2−−−−−√
Answer:
_
just did the test and got it right its /x + 2
Step-by-step explanation:
just did the test i cant make the simble though but the right answer is the one where the line is only above the x oh wait actually i see your questions know my delete key broke soooo its the 2nd option
At the nearest wholesale 3 bags of cereal cost 28.75 at this rate how much would 5 bags of cereal cost
Answer:
5 bags will cost $47.09
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
5x + 3y = 5
5x + 7y = 25
Answer:
(-2,5)
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!
twice the sum of 4 and x is less than -16. solve the i equality
Answer:
x<-2
Step-by-step explanation:
4x-2x2=-16 so it must be anything less than -16
Negatives get smaller the more digits, so x is less than -2
What is the slope of the line shown below?
(3,9)
(-4,2)
Answer:
the slope of the line shown below is 1.
If a sweatshirt normally costs $40 but it is
marked down 20%. How much would it cost?
Answer:
$32
Step-by-step explanation:
First, find 20% of 40.
20% as a decimal is 0.20 (20/100)
0.20 x 40 = 8
Now, subtract 8 from the original price.
40 - 8 = 32
Answer:
$32
40 decrease 40%
40 x (1-20%) = 40 x (1-0.2) =32
the the the the the the the the the
Answer the times 9 = the the the the the the the the the
Step-by-step explanation: heck, free 5 points
Which expression is equivalent to that
Answer:
3. 9x
4. D. -5v + 4
Step-by-step explanation:
3. (-3+12)v
= 9v
4. Combine like terms:
(-2v - 3v) + (8 - 4)
= -5v + 4
What is the actual length of the microchip?
Answer:
12 millimeters is the actual length of a microchip
A student receives his grade report from a local community college, but the GPA is smudged. He took the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hour credit science course, a 3 hour credit mathematics course, and a 1 hour science lab. He received a "B" in the art class, an "A" in the history class, a "C" in the science class, a "B" in the mathematics class, and an "A" in the science lab. What was his GPA if the letter grades are based on a 4 point scale? (A=4, B=3, C=2, D=1, F=0)
A. 2.7
B. 2.8
C. 3.0
D. 3.1
E. 3.2
Will mark Brainliest!
Answer:
C. 3.0Step-by-step explanation:
Lets calculate the points:
Art - 2 hrs - B (3) ⇒ 2*3 = 6 pointsHistory - 3 hrs - A (4) ⇒ 3*4 = 12 pointsScience - 4 hrs - C (2) ⇒ 4*2 = 8 pointsMath - 3 hrs - B (3) ⇒ 3*3 = 9 pointsLab - 1 hr - A (4) ⇒ 1*4 = 4 pointsTotals
Total hours = 13 Total points = 39GPA = total points/ total hours
GPA = 39/13 = 3.0Correct option is C
The angle bisector of the angle ABC is BP. If angle ABP is 6nº, what is angle ABC?
Answer:
12n
Step-by-step explanation:
∠ABC is twice the value of 6n°
Acela Express, the fastest train between Washington D.C and Boston covers a distance of 455 miles in 7 hours. How many miles will the train travel in 4 hours?
Answer:
260 miles
Step-by-step explanation:
Given that:
Distance covered in 7 hours = 455 miles
Number of miles train will travel in 4 hours
Average travel speed per hour :
Distance traveled / time taken
455 miles / 7 hours
= 65 miles per hour
Number of miles traveled in 4 hours :
Average Speed per hour * time
(65 * 4) = 260 miles
i need help if yall can help me
Answer:
C. 5.8
Step-by-step explanation:
We use the Pythagoras theorem here. which is a²+b²=c².
a and b are the replacements for the 5miles and 3miles here.
They are a and b because a and b are always on the right angle side.
The longest side of this triangle is called a hypotenuse which is the c in this case.
the other sides (a and b) are called the adjacent and the opposite.
it doesn't matter if you use adjacent or opposite for a and b in this case.
the only important thing is the hypotenuse here.
So it's a²+b²=c², which is 5²+3²=c².
5² is 25 and 3² is 9, so we add them and we get 34.
so c²=34, we don't want the square on c so we send it to 34 which becomes √34.
√34 gives us 5.8 miles which is up to just only one decimal place.
You might need to use calculators for square roots because they take long to calculate.
What is the simplest form of this expression?
-x(4x2 - 6x + 1)
Answer:
−4x3+6x2−x
Step-by-step explanation:
(−x)(4x2−6x+1)
=(−x)(4x2+−6x+1)
=(−x)(4x2)+(−x)(−6x)+(−x)(1)
=−4x3+6x2−x
simplify this fraction, it can be a whole number or decimal :)
4.2/-0.2
Answer:
yes cuz +1+1
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
True or False.
The following relation represents a function.
I need the area for this
Answer:
3/10 cm²
Step-by-step explanation:
Multiply the two values to find the area.
3/8 · 4/5 = 3/10
Therefore, the area is 3/10 cm².
