Both functions are increasing, but function g increases at a faster average rate.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Let f(x) = abˣ + c
At x = 0, f(0) = -10. Then we have
a + c = -10
Then similarly, by satisfying the above table in f(x) will be
[tex]\rm f(x) = - \dfrac{33}{5} \left ( \dfrac{1}{11} \right )^x - \dfrac{17 }{5} \\\\f'(x ) > 0[/tex]
Then we can say f(x) is an increasing function.
[tex]\rm g(x) = - 18 \left ( \dfrac{1}{3} \right )^x +2 \\\\g'(x ) > 0[/tex]
Then we can say g(x) is an increasing function.
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Answer:
The correct answer would be option D- Both functions are increasing, but function g increases at a faster average rate.
Hope this helps and good luck!
What is the volume of this box? Cardboard box A. 15 cm3 B. 96 cm3 C. 120 cm3 D. 148 cm3
What is the common difference if the arithmetic sequence below? -5,-1,3,7…..
Answer:
4
Step-by-step explanation:
-1 - (-5) = 4
3 - (-1) = 4
7 - 3 = 4
Which of the following figures has a circumference that is closest to 121 inches?
A
a circle with a diameter of 38.5 inches
B
a circle with a diameter of 19.3 inches
C
a circle with a radius of 38.5 inches
D
a circle with a radius of 6.2 inches
Answer:
B
a circle with a diameter of 19.3 inches
Jen spent $12 on school supplies. Percy spent 3 times as much on school supplies, and also bought a reusable water bottle for $6. How much money did Percy spend?
1 block is labeled Jen's purchase, 12 dollars. A rectangle divided into 4 blocks is labeled Percy's purchase. 1 of the blocks is labeled 6 dollars. 12 times 3 = 36. 36 minus 6 = 30.
What error did Percy make in his calculation? its C i guessed it correct
Answer:
12 * Answer:
12 x 3 = 36 + 6 = 42,
Step-by-step explanation:
Step-by-step explanation:
Complete the statement.
The polynomial function f(x) =_____.
(x + 2)(x - 2)(x + 13)
(x + 2)(x + 3)(x - V3)
(x - 2)(x + 13)(x - 13)
(x + 2)(x - 2)(x + 13)(x - 13)
(x - 2)+ √3
Answer:
b
Step-by-step explanation:
Because i know
DeMoivre’s Theorem
[6( cos 70° + i sin 70°)]³
[tex][6(\cos 70^{\circ} + i \sin 70^{\circ})]^3\\\\=6^3[ \cos ( 3 \times 70)^{\circ} + i \sin ( 3 \times 70)^{\circ}]\\\\=216 [\cos(210^{\circ}) + i \sin( 210^{\circ})]\\\\=216[\cos(2\times 90^{\circ} + 30^{\circ}) + i \sin( 2 \times 90^{\circ} + 30^{\circ})]\\\\=216[-\cos 30^{\circ}-i\sin 30^{\circ}]\\\\=216\left[-\dfrac{ \sqrt 3} 2 - i \cdot \dfrac 12 \right]\\\\=-108\left(\sqrt 3 +i \right)[/tex]
Chords AB and CB intersect at E in circle O, as shown in the diagram below. Secant
PFA and tangent PD are drawn to circle O from external point and chord AC is drawn. The ratio of BF:FC:CA:AB = 3:3:4:8. Find the measures of FC,∠P,∠CEA, and ∠ABC.
Answer:
Step-by-step explanation:
Find the solution(s) to the system of equations represented in the graph? A circle with a line intersection at (-2,0) and (0,2)
Answer:
This is your teacher if you do this again, I will contact your parents and you will get in big trouble.
Step-by-step explanation:
In parallelogram JKLM if LJ=28 find LN.
Answer:
LN = 14
Step-by-step explanation:
In parallelogram diagonals bisect each other. That means that one diagonal cuts the other in half.
LJ is the diagonal and LN is a half of the diagonal.
[tex]\text{LN} = \frac{28}{2} = 14[/tex]
5. A student gets 9 out of 15 problems correct on a
homework assignment. What percent of the
assignment did the student get correct?
Answer:
60%
Step-by-step explanation:
9/15 as a decimal is 0.6 (use calculator) as a percentage it's %60 (0.6 * 100)
A sequence has a common second difference of 4 between terms. The first two terms are 3 and 12. Write down the 3rd and 4th terms.
The first two terms of the sequence are 3 and 12 and the 3rd and 4th terms are 25 and 42.
3rd and 4th terms from second level differenceThe 3rd and 4th terms of the sequence is determined from second level difference as shown below;
let the first term = asecond term = bthird term = cfourth term = d(c - b) - (b - a) = 4 ----(1)
(d - c) - (c - b) = 4 ---- (2)
from (1);
(c - 12) - (12 - 3) = 4
(c - 12) - (9) = 4
c - 21 = 4
c = 25
from (2);
(d - 25) - (25 - 12) = 4
d - 38 = 4
d = 42
The sequence = 3, 12, 25, 42
check
first difference = (12 - 3), (25-12), (42-25) = 9, 13, 17
second difference = (13 - 9), (17 - 13) = 4, 4
Thus, the first two terms of the sequence are 3 and 12 and the 3rd and 4th terms are 25 and 42.
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How do the values compare? Order the values from least to greatest.
|1 1/4|
|-1 3/4|
3/4
-2 1/4
-1 1/4
|-2 1/4|
Answer:
see below
Step-by-step explanation:
For absolute values | x | just drop the sign of the number and make it positive
example : | -3| = 3
so for this Q
-2 1/4 - 1 1/4 3/4 1 1/4 1 3/4 2 1/4
Maria started the year with $235 in the bank and is saving $15 a week. Sergio started with $685 and is spending $35 a week. When will they both have the same amount of money in the bank? Write an equation(s) to represent the situation and then solve. Be sure to define your variable(s) and clearly answer the question.
Answer:
9 weeks
Step-by-step explanation:
let the time when they will both have the same amount be x
since Maria is saving then her money is bound to increase
therefore amount she will have after x weeks=235+15x
Sergio is spending so his money is reducing
therefore amount he will have after x weeks=
685-35x
so
235+15x=685-35x
685-235=15x+35x
450=50x
x= 450/50
9weeks
On the class field trip there will be 150 students
and 10 chaperones What is the unit rate of students
per chaperone?
Answer:
The answer is 1:15
That means for every 1 chaperone, there is 15 students
A survey was given to 90 high school students. They were asked if they preferred fiction or non-fiction and if they preferred indoor or outdoor activities. Partial survey results are shown in the table.
What percent of students in the survey, to the nearest whole number, prefer outdoor activities given they prefer non-fiction?
Enter a number in the box.
P(outdoor | non−fiction)= _%
Answer:
11% of people preferred outside and non-fiction
Step-by-step explanation:
Table attached,
10/90 = 0.11
0.11 = 11%
The percent of students in the survey that prefer outdoor activities given they prefer non-fiction is 11%.
What is the percent?The first step is to determine the total number of people that like fiction: 24 + 30 = 54
Now, determine the total number of people that like non-fiction: 90 - 54 = 36
The third step is to determine the total number of people that like indoor activities and non-fiction: 50 - 24 = 26
The fourth step is to determine the total number of people that like outdoor activities given they prefer non-fiction: 36 - 26 = 10
Percentage of people that prefer outdoor activities given they prefer non-fiction = (10 / 90) x 100 = 11%
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You invest $700 at 6.5% and it’s compounded semi-annually for 3 years. How much will your $700 be worth in 3 years?
Answer:
$10,700.
Step-by-step explanation:
a natural number when divided by 12 15 18
Answer:
173
Step-by-step explanation:
Assume the natural number is x.
x/12 = ... R 5
x/15 = ... R 8
x/18 = ... R 11
Thus, x+7 is divisible by 12, 15 and 18 all together.
The smallest possible number of x+7 can be calculated with prime factorization.
12=2^2 * 3
15=3 * 5
18=2 * 3^2
The smallest possible number for x+7 is 2^2 * 3^2 * 5 = 4 * 9 * 5 = 180.
Therefore, the smallest possible solution for x is 180 - 7 = 173.
What is the circumference of the circle? (use 3.14 for pi)
(WORTH 30 POINTS)
Answer:
119.32
Step-by-step explanation:
[tex]A = 2 * 3.14 * 19 = 119.32[/tex]
If you spin the spinner below, what is the
probability that you will land on a 2 ?
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = -3/2x + 8
Step-by-step explanation:
Slope: y2 - y1 / x2 - x1
= 5-2 / 2-4
= -2/3
Y intercept is 8
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
the last 2 answer options are completely useless and outright nonsense, because all limits are going against +4.
so, an asymptote at x = -4 is not an option anywhere.
g(x) is always y, and the limit of the function is the limit of the y values.
we just evaluate for what x value is then y reaching that limit. but the sign of the y limit has no direct impact on the sign of the x value.
it is true that the case x = -4 needs to be checked too, but it turns out this just delivers g(-4) = 0.
now, about x = 4 :
when coming from the left side of +4 (increasing x), what is the sign of the function ?
we can simply use x = 3 to test this :
g(3) = 2(3+4)²/(3² - 16) = 2×49/-7
so, it is negative.
that means when getting closer and closer to +4 coming from that side we what get negative values, and the limit is -infinity.
when coming from the right side of +4 (decreasing x), what is the sign of the function ?
we can simply use x = 5 to test this :
g(3) = 2(5+4)²/(5² - 16) = 2×81/9
so, it is positive.
that means when getting closer and closer to +4 coming from that side we what get positive values, and the limit is +infinity.
so, the second answer option is correct.
because of these y limits, there is a vertical asymptote at x = 4 that kind of "connects" -infinity and +infinity in y direction at that location and symbolizes the limits of y.
marking brainliest
please help!!!!
use the figure to answe the question
Step-by-step explanation:
Where is the Question?
Can't answer without question
which expression is equivalent
to -14 - 35 d please help for 50 points
Answer:
number 1
Step-by-step explanation:
Solve the inequations
3(1-2x) > 3-6x
Answer:
no solutions
Step-by-step explanation:
3(1-2x) > 3 -6x, distribute multiplication by 3 over the subtraction
3 - 6x > 3 - 6x, because the left side is the same as the right side
this statement is never true, therefore this inequality has no solutions.
8. Wilson cut open a packing box that
was shaped like a rectangular prism
to see the net. What shapes did
Wilson see?
A 1 triangle and 2 rectangles
B 1 square and 3 rectangles
c 6 rectangles only
D 6 triangles one
all sides of a rectangular prism would be rectangles.
Answer: c. 6 rectangles only
Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Oliver spent 4 and one-fourth hours on his project. If k represents the amount of time that it took Karissa to complete her project, which inequality can be used to represent the situation?
4 and one-fourth less-than 2 k
4 and one-fourth less-than-or-equal-to 2 k
4 and one-fourth greater-than 2 k
4 and one-fourth greater-than-or-equal-to 2 k
Answer:
4 and one-fourth less-than or equal-to 2k
Step-by-step explanation:
4 and one-fourth is no more than 2k
i.e,4 and one-fourth can be equal or less than 2k
pls mark brainliest:)
What is a good estimate and the actual measurement for this angle measurement?
A. 110 and 109
B. 95 and 96
C. 90 and 91
D. 70 and 71
Is this figure a quadrilateral?
a.
c.
Cannot determine.
b.
no
Please select the best answer from the choices provided
A
B
C
Answer:
Yes its a quadrilateral
Step-by-step explanation:
It has 4 sides
Answer:
yes
Step-by-step explanation:
It is an irregular quadrilateral
Hope this helps
(Score for Question 1: ___ of 10 points)
1. There are 8 ounces in 1 cup and 16 cups in 1 gallon.
(a) Diane brought 4.5 gallons of water to a campout. How many ounces of water did she bring? Show your work.
(b) Diane started a hike with 24 ounces of water in her backpack. What fraction of a gallon of water did she start the hike with? Show your work.
Answer:
The total ounces of water Diane brought are 576 ounces and the fraction of a gallon of water did she start the hike with is 3/16.
What is cost price per ounce?The cost price per ounce is the amount of money required to buy one ounce of a brand or goods.
To find the cost price per ounce, divide the total amount of cost of the goods to the total number of goods.
1. There are 8 ounces in 1 cup and 16 cups in 1 gallon. Diane brought 4.5 gallons of water to a campout. Let x ounces of water, did she bring. Thus,
[tex]x=4.5\times16\times8\\x=576\rm\; ounces[/tex]
Diane started a hike with 24 ounces of water in her backpack. The fraction of gallons in 24 ounces is,
[tex]n=\dfrac{24}{8\times16}\\n=\dfrac{3}{16}[/tex]
Thus, the total ounces of water Diane brought are 576 ounces and the fraction of a gallon of water did she start the hike with is 3/16.
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