Considering the given exponential functions, it is found that the correct statement is:
D. Both functions are decreasing on [0, 3], and function f is decreasing at a faster rate.
What is the behavior of each exponential function?For function f, we have that it is decreasing, as it is greater at x = 0 than at x = 4, and it decreases by an average of 3.75 units when the input changes by 1.For function g, we also have that it is decreasing, as as it is greater at x = 0 than at x = 3, and it decreases by an average of 3 units when the input changes by 1.Hence option D is correct.
More can be learned about exponential functions at https://brainly.com/question/25537936
How do you simplify ( 5 x 10-4 ) ( 2.4 x 10-6 ) into a scientific notation?
Answer:
I do not know this is harddd
The shadow cast by a television tower is 171 ft 10 in. A pole that is stuck in the ground nearby has 2 ft sticking above the ground and casts a shadow that is 6 ft 3 in. in length. Based on this information, how high is the television tower?
Answer:
the height is 54.99 ft or 659.84 in
Step-by-step explanation:
We know that the sides of similar triangles are proportional, so we can write:
2 ft / 6 ft 3 in = x / 171 ft 10 in
Now what we must do first and pass everything to the same unit of measurement:
Knowing that 1 foot equals 12 inches:
6 ft 3 in = 6 ft * 12 in / ft + 3 in = 72 + 3 = 75 in
171 ft 10 in = 171 ft * 12 in / ft + 10 in = 2052 + 10 = 2062 in
2 ft = 2 ft * 12 in / ft = 24 in
replacing:
24 in / 75 in = x / 2062 in
x = 24 * 2062/75
x = 659.84 in
Or they would also be 659.84 in * 1 ft / 12 in = 54.99 ft
That is, the height is 54.99 ft or 659.84 in
Use the coordinates of the labeled point to find the point-slope equation of the line
Answer:
A. y + 1 = -2(x-2)
Step-by-step explanation:
point-slope equation is : y - y1 = m (x -x1)
remember m= slope value
the given point is (2, -1) therefore we can substitute the values in:
y + 1 = m(x -2)
now to make sure our answer is complete we will solve for the slope:
looking back at the graph, the y-intercept value is 3, therefore we have a point of (0,3) and (2, -1)
with any two points you can determine a slope.
y2 - y1 / x2 - x1
therefore :
-1 -3 / 2 - 0
-4 / 2 = -2
therefore our m value is -2
this makes the completed point-slope equation:
y + 1 = -2 (x - 2) or A
(x³-4x²+7x-5)+(13x-15x²+x³)
Answer:
2x^3−19x^2+20x−5
Step-by-step explanation:
combine the x's and numbers, when fully simplified:
2x^3−19x^2+20x−5
Answer:
[tex]\sf 2x^3-19x^2+20x-5[/tex]Step-by-step explanation:
[tex]\sf\left(x^3-4x^2+7x-5\right)+\left(13x-15x^2+x^3\right)[/tex]
[tex]\sf x^3-4x^2+7x-5+13x-15x^2+x^3[/tex]
[tex]\sf x^3+x^3-4x^2-15x^2+7x+13x-5[/tex]
[tex]\sf 2x^3-4x^2-15x^2+7x+13x-5[/tex]
[tex]\sf 2x^3-19x^2+7x+13x-5[/tex]
[tex]\sf 2x^3-19x^2+20x-5[/tex]
The football club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $6.00
, and bags of cookies cost $4
, and sales equaled $40
in total. There were 3 more bags of cookies than candy sold.
Find the number of bags of candy and cookies sold by the football club.
Answer:
Candy=x=2.8 bags
Cookies=3+2.8=5.8 bags
Step-by-step explanation:
Price
Bag of candy=$6.00
Bag of cookies=$4
Total sales=$40
Quantity
Let cookies=y=3+x
Let candy=x
There are 3 more bag of cookies than candy sold
Total sales=price*quantity of x + price*quantity of y
40=$4*(3+x) + 6*x
40=12+4x+6x
40=12+10x
40-12=10x
28=10x
X=28/10
x=2.8 bags
27 30 33 36 identify d in this
Answer:
d = 3
Step-by-step explanation:
d represents the common difference between consecutive terms in the sequence, that is
d = 30 - 27 = 33 - 30 = 36 - 33 = 3
Pleaseee helppp
Which of the following uses a variable to represent a person, place, or thing
that is unknown?
A. a C-sharp on the piano
B. apartment 12A
C. a B+ grade
D. Mr. X
Answer:
D. Mr. X
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
All of them could represent something or someone, but Mr. X is the closest because X is usually used as a variable.
What is the domain of f(x)=√(x)?
Answer:
f(x)=√x f ( x ) = x is x≥0 x ≥ 0
Step-by-step explanation:
The domain of the function f(x)=√x f ( x ) = x is x≥0 x ≥ 0 . The range of a function is the set of results, solutions, or ' output ' values (y) to the equation for a given input.
Can someone help me with this, I will mark you as brainliest!
10 = 2 + a help meeeee
Answer:
8 = a help mee
btw variables cant have spaces
:)
Answer:
A=8
It is 8 because when you subtract 2 from 10, you get 8.
If you want to check your answer, 8 + 2 is 10
Step-by-step explanation:
Hope this helps (pls brainliest)
does anyone know the answer to this?
Answer: 1/3
Step-by-step explanation:
The multiples of 4 and 6 that are in this 1-12 interval is 4, 6, 8, and 12
Thats a 4/12 chance which simplifies to 1/3
Answer:
1/3
Step-by-step explanation:
There are 3 numbers between 1 and 12 that are either multiples of 4 or 6 (4, 8, 6). 12 is a multiple of both, therefore we get 4 numbers out of 12. This is 4/12 = 1/3
HELP!!
Solve for x in the figure below!
Answer:
x= 9
Step-by-step explanation:
(3x + 4) and 50 are complementary angle
=> (3x + 4) + 50 = 90
-> 3x+4 = 40
-> 3x = 36
-> x= 9
find the slope of the line that passses thruogh 1,5 and 10,9
The answer is 4/9
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Help!!!
An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?
Answer: $13.47 per hour.
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
Total earnings = 9.25 (h) + 8 (t/20)
Where h is the number of hours and t is the number of transformers.
Since he worked for 36 hours and assembled 380 transformers:
Total earnings = 9.25 (36) + 8 (380/20)
Total earnings = 333+152 = $485
Finally, to find how much he earned per hours, we simply have to divide the result by the number of hours worked (36):
485/36 = $13.47 per hour.
Can someone help me with this ASAP please and thank you
Answer:
C
Step-by-step explanation:
Triangles will only be right triangles if a² + b² = c² where a and b are legs and c is hypotenuse. Numbers 1 and 2 pass this test so the answer is c.
Answer:
C. I and IV only
Step-by-step explanation:
Apply the Pythagorean theorem to all triangles, and see which ones make the equation true.
I.
8^2 + 15^2 = 64 + 225 = 289
17^2 = 289
289 = 289
Right Triangle
II.
4^2 + 5^2 = 16 + 25 = 41
6^2 = 36
41 is not equal to 36
Not a Right Triangle
III.
2^2 + 2^2 = 4 + 4 = 8
3^2 = 9
8 is not equal to 9
Not a Right Triangle
IV.
9^2 + 12^2 = 81 + 144 = 225
15^2 = 225
225 = 225
Right Triangle
Answer: C. I and IV only
ABC and ACD are both right-angled triangles.
D
a)
Explain why the length of AC
is 13 cm.
5 cm
C
5 cm
b)
Calculate the length of AD.
Give your answer correct
to 1 decimal place.
B
A
12 cm
Answer:
In the picture attached, the question is shown.
a) Applying Pythagorean theorem to triangle ABC, and solving for AC:
CB² + BA² = AC²
5² + 12² = AC²
√169 = AC
13 cm = AC
b) Applying Pythagorean theorem to triangle ACD, and solving for AD:
CD² + AC² = AD²
5² + 13² = AD²
√194 = AD
13.9 cm = AD
Use the Multiplication Law of Exponents to solve the expression below.
121/2.121/2 =
Answer:
12.
Step-by-step explanation:
12^1/2 * 12^1/2
= 12^(1/2 + 1/2)
= 12^1
= 12.
Which algebraic expression is a polynomial with a degree of 5?
what is the value of x?
Answer:
x = 3 will be the answer.
Step-by-step explanation:
From right triangle ABC,
By applying Sine rule,
Sin45° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BC}{AC}[/tex]
[tex]\frac{1}{\sqrt{2}}[/tex] = [tex]\frac{BC}{6\sqrt{2}}[/tex]
BC = 6 units
Now from right triangle BCD,
By applying Cosine rule,
Cos60° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BD}{BC}[/tex]
[tex]\frac{1}{2}=\frac{x}{6}[/tex]
x = [tex]\frac{6}{2}[/tex]
x = 3
plz help with this question
Answer:
3cm ,4cm,5cm,and 8 centimetres
Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x, and log y.
log x^3 y^4
Answer:
log x³ y⁴ = 3 log ( x ) + 4 log( y)
Step-by-step explanation:
Given function log x³ y⁴
step(i):-
Applying logarithmic formula
log ( a b ) = log (a) +log (b)
log x³ y⁴ = log ( x³ ) + log( y⁴)
step(ii):-
Applying logarithmic formula
log (x ⁿ) = n log x
log x³ y⁴ = log ( x³ ) + log( y⁴)
log x³ y⁴ = 3 log ( x ) + 4 log( y)
final answer:-
log x³ y⁴ = 3 log ( x ) + 4 log( y)
Which inequality is graphed below?
y<1/4x-1
y>1/4x-1
y<=1/4x-1
y>=1/4x-1
What is the midpoint of a line segment with endpoints at (6, -4) and (15,8)?
Answer:
Look at the attachment
The point-slope form of the equation of the line that passes through points 8,4 and 0,2 is y-4=1/4 (x-8) what is the slope intercept form of the equation for this line
Answer:
Step-by-step explanation:
y - 4 = 1/4(x - 8)
y -4 = 1/4x - 2
y = 1/4x + 2
Question 10 Multiple Choice Worth 1 points)
(01.03 LC)
Jamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Write an equation to show how many pieces of candy each kid
will recele.
Answer:
105= 7x or 7x=105 x=15
Step-by-step explanation:
Hope this helps
Correct me if this is wrong
Is (1, 4) a solution to the equation y = 7x?
Answer:
No
Step-by-step explanation:
y=7x
4=7(1)
4=7
This is not a true statement.
The surface area of a cube is 24 square inches.
What is the side length of the cube?
Answer:
2 inches
Step-by-step explanation:
A cube has 6 faces. Therefore, each face is 4 square inches. (24/6) The side length of the square (face of the cube) is the square root of the area. The square root of 4 is 2. There is your answer :)
I REALLY NEED HELP PLEASE!!
Answer:
To me the triangles in #6 appear to be the same shape as the first triangle in #7(EFG) with different lengths on the sides. But not much else is the same. I mean they are all triangles but the shape of the second triangle in #7(XYZ) isn't the same as either of the triangles in #6.
I hope that made sense to you!
Hope this helped! Have a great day! :)
a.
Use the domain and range of each of the following relations to determine which is a function.
{3, 7, - 7,9}
b. {(3,9), (7. - 4), (-7,7)}
• {(3,9), (7. - 4), (37)
d. {(3,9), (7. - 4), (7,6), (-7, 7)}
Please select the best answer from the choices provided
Answer:
Option B.
Step-by-step explanation:
A relation is called a function if there exist unique value of y for each value of x.
In option (a), [tex]\{3,7,-7,9\}[/tex] is set not a relation.
In option (b), [tex]\{(3,9),(7,-4),(-7,7)\}[/tex] is function because there exist unique value of y for each value of x.
In option (c), [tex]\{(3,9),(7,-4),(3,7)\}[/tex] is not function because there exist two value of y, which are 9 and 7, for x=3.
In option (d), [tex]\{(3,9),(7,-4),(7,6),(-7,7)\}[/tex] is not function because there exist two value of y, which are -4 and 6, for x=7.
Therefore, the correct option is B.
Answer: B.{(3,9), (7. - 4), (-7,7)}
Step-by-step explanation: got it right on edge
could someone please help me figure this out...
Two lines are intersecting. What is the value of x?
(x + 40)°
(4x - 5)”
====================================================
Work Shown:
The two angles shown are a linear pair. They are adjacent and supplementary. Supplementary angles add to 180 degrees.
(4x-5)+(x+40) = 180
5x+35 = 180
5x = 180-35
5x = 145
x = 145/5
x = 29
--------
As a check, if x = 29, then
4x-5 = 4*29-5 = 116-5 = 111
x+40 = 29+40 = 69
The two angles are 69 and 111 degrees which add to 69+111 = 180, which helps confirm the answer.
Answer:
x = 29
Step-by-step explanation:
The two angles with measures are a linear pair.
Angles in a linear pair are supplementary, so their measures add to 180 deg.
4x - 5 + x + 40 = 180
Combine like terms on left side.
5x + 35 = 180
Subtract 35 from both sides.
5x = 145
Divide both sides by 5.
x = 29
