Answer:
a. Yes it's correct, reasons;
I) let x=1, f(1)=2^1=2, g(x)=1^2=1 this proves that when a higher number is used the value of f(x) will be higher than g(x).
ii) As x approaches zero f(x) approaches 1, but g(x) approaches 0. Which will make the rate at which the graph of f(x) increase be faster than g(x)
b. f(x) has an infinite degree but g(x) has a finite degree of 2.
The mean of 6 numbers is 8.
The numbers are in the ratio 1 : 1 : 2 : 2 : 3 : 3.
Find the median.
Answer: 8
Step-by-step explanation:
Given
Mean of the numbers is 8
If the ratio is 1:1:2:2:3:3
Suppose the numbers are [tex]x, x, 2x, 2x, 3x, 3x[/tex]
Write the mean of the numbers
[tex]\Rightarrow \dfrac{x+x+2x+2x+3x+3x}{6}=8\\\\\Rightarrow \dfrac{12x}{6}=8\\\\\Rightarrow x=4[/tex]
So, the numbers are [tex]4, 4, 8,8 ,12,12[/tex]
As the total numbers are even, median is the sum of the middle values
[tex]\Rightarrow \text{Median=}\dfrac{8+8}{2}\\\\\Rightarrow \text{Median=}8[/tex]
(-2x+1) (2x^2-1/3x+2)
Answer:
JHJHJHJHUJ3480945768
658768
Step-by-step explanation:
684867765543545
Ans x = 0.5
Step-by-step explanation:
[tex]= -4x^{3} + 2x^{2} +\frac{2}{3}x^{2} -\frac{1}{3}x-4x+2\\= -4x^{3}+\frac{8}{3}x^{2} -\frac{13}{3}x+2\\[/tex]
If the equation requires to find x, you can use Casio calculator to solve this by some basic formula:
Step 1: Type [tex]-4x^{3}+\frac{8}{3}x^{2} -\frac{13}{3}x+2[/tex]
Step 2: Press Shift SOLVE (CALC)
Step 3: Press "0" for Solve for X
-> You will find the x is 0.5
What is the domain of this relation?
(16, 1)
(0, 19)
(7, –19)
Answer:
{ 0 , 7 , 16 }
Step-by-step explanation:
Domain = set of x values
(16,1) x = 16
(0,19) x = 0
(7,-19) x = 7
The set of x values ( domain ) would be
{ 0 , 7 , 16 }
Note: the values of the domain should be put in order from least to greatest
Solve by factorisation.
3x² + 10x - 8 = 0
Answer:
3x²+12x-2x-8. = 0
3x(X+4)-2(X+4) = 0
(x+4)(3x-2) =0
[tex]x = (- 4) \: or \: x = \frac{2}{3} \: are \: the \: solutions[/tex]
At a football stadium, 25% of the fans in the attendance were teenagers. If there were 190 teenagers at the football stadium, what was the total numbers of the people at the stadium?
Answer:
760
Step-by-step explanation:
25%= 190
100 = 25 × 4
100% (total number of people) = 190 × 4 = 760
To indirectly measure the distance across a lake, Nachelle makes use of a couple landmarks at points D and E. She measures CF, FD, and FG as marked. Find the distance across the lake (DE), rounding your answer to the nearest hundredth of a meter
Answer:
207.68 m
Step-by-step explanation:
From the diagram,
ΔDEC is similar to ΔFGC
Therefore,
(DE)/(FG) = (DC)/(FC).............. Equation 1
make line DE the subject of the equation
DE = [(DC)(FG)/(FC)]................ Equation 2
From the diagram,
Given: DC = 190 m, FG = 142.1 m, FC = 130 m
Substitute these values into equation 2
DE = (190×142.1/130)
DE = 207.68 m
Hence the distance across the lake is 207.68 m
Applying the similarity theorem, the distance across the lake to the nearest hundredth is: DE = 207.68 m
Recall:
The corresponding side lengths of two triangles that are similar are always proportional to each other.Thus:
ΔCDE and ΔCFG are similar to each other
FG = 142.1 m
FC = 130 m
DF = 60 m
DC = 130 + 60 = 190 m
Therefore:
DE/FG = DC/FC
SubstituteDE/142.1 = 190/130
Cross multiply[tex]DE = \frac{190 \times 142.1}{130} \\\\\mathbf{DE = 207.68 $ m}[/tex] (nearest hundredth).
Therefore, applying the similarity theorem, the distance across the lake to the nearest hundredth is: DE = 207.68 m
Learn more about similar triangles here: https://brainly.com/question/11899908
A car repair will cost $100 for parts plus $50 per hour for labor. Enter the function y that represents the total cost in dollars of the car repair if it requires x hours of labor.
Answer: y = $50x + 100
$100 is the y-intercept$50 is the slopeDan invests £13000 into his bank account. He receives 2.3% per year simple interest. How much will Dan have after 4 years? Give your answer to the nearest penny where appropriate.
Answer:
=14237.90
Step-by-step explanation:
13000*1.023^4=14237.89832
=14237.90
The sides of the triangular base of prism are 10 cm 8 cm and 6cm respectively and it is 15 cm long .Find the total suface area of the prism.
Answer:
408 cm²
Step-by-step explanation:
the total SA = (2×½×6×8) + (10+8+6)×15
= 48 + 360
= 408 cm²
The total surface area of the prism that has a triangular base of 10 cm, 8 cm, and 6cm and it is 15 cm long is 408 cm².
What is a triangular base?In order to create the triangle base, the three triangular sides slant upward. A pyramid with a triangular base is also known as a tetrahedron since it is made up of four triangles.
The shape of a pyramid's base is often used to describe it. A hexagonal pyramid has a base that is a hexagon, as does a triangular pyramid, for example. Pyramids with triangular bases are called triangular pyramids.
A triangle's area is equal to half the sum of its base and height, according to the formula for triangular bases. Whether it be a scalene triangle, an isosceles triangle, or an equilateral triangle, this formula can be used to determine their properties.
The total surface area of the prism calculations are,
b = 6 cm, h = 8 cm, l = 10 cm, and L = 15 cm
[tex]Total\ Surface\ Area = (2\times \frac{1}{2} \times b \times h) + (l+h+b) \times \\ L=(2\times \frac{1}{2} \times 6 \times 8) + (10+8+6) \times 15\\= 48 + 360\\= 408 cm^2[/tex]
Therefore, total surface area of the prism that has a triangular base of 10 cm, 8 cm, and 6cm and it is 15 cm long is 408 cm².
Learn more about triangular base from here:
https://brainly.com/question/12434035
#SPJ2
What is the value of x?
0 14
0 17
O 27
O 34
PLEASE HELP
Aaron's rear bicycle tire has too much air he removes 8 pounds of air so that his tire gauge now reads 53 pounds. How many pounds did he begin with? Use the equation p - 8 = 53
Answer:
61 pounds
Step-by-step explanation:
you rearrange the equation to make p the subject:
p-8=53
p = 8+53
p = 61
Help and explain please and thank you !!!!!!!
Answer:
[tex]q = 3[/tex]
Step-by-step explanation:
[tex]3q−2=7[/tex]
[tex]3q=7+2[/tex]
[tex]3q=9[/tex]
[tex]q = \frac{9}{3} [/tex][tex]q = 3[/tex]
Hope it is helpful....answer to question: The sum of three consecutive positive integers is 111. You need to determine what the three integers are. Which equation shows how you could solve the problem
Answer: 36, 37, 38
Step-by-step explanation:
Number #1 = xNumber #2 = x + 1Number #3 = x - 1x + (x + 1) + (x - 1) = 111
x + x + 1 + x - 1 = 111
3x = 111
x = 37
Number #1 = x = 37Number #2 = x + 1 = 37 + 1 = 38Number #3 = x - 1 = 37 - 1 = 36whats the equation of this horizantal line
Answer:
[tex]y=-7[/tex]
Step-by-step explanation:
Hope this helps you.
Answer:
y = — 7
Step-by-step explanation:
thanks for the pts
✌️❤️✌️
Please can someone work this out please it would reallly help
Answer:
12.25 [tex]\leq[/tex] x < 12.35
Step-by-step explanation:
5 is the cut off when rounding.
If a number to the right is greater than or equal 5, you round up.
If it's less than 5, you drop the number.
So 12.25 would be rounded up to 12.3
12.34 would be rounded to 12.3
How do you get the 12.25?
Subtract .05 from 12.3
How do you get 12.35?
Add .05 to 12.3.
The number in the hundredths place needs to be less than 5 to round down. That's why you use less than symbol.
An opposition paragraph in an Argumentative Essay identifies and defends against ideas or arguments that might go against your argument (as a defense). True or false
Answer:
a
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Because the ops are always trying to oppose things, so you show them why they're wrong.
If a bus travel for 120 minutes at a speed of 75 kilometers per hour how far has the bus traveled?
Answer:
150 km
Step-by-step explanation:
Put the minutes into hours 120min is 2 hours.
Distance = speed * time
Distance = 75 * 2
Distance = 150
Answer:
150 kilometers
Step-by-step explanation:
if the bus is going 75 kilometers an hour and they traveled for 120 minutes (exactly 2 hours) then you would just multiply 75 by 2 to get 150 kilometers total.
Explain what the construction does and list the steps to creating the construction. Be as detailed as possible :D
Step-by-step explanation:
This construction bisects the pqr angle.
This is done by placing a compass on the pqr angle and marking construction lines at the points c and a.
Then at where the construction lines at points c and a meet the lines qr and qp draw 2 more from that placement.
Then draw a line running through angle pqr and where the construction lines meet at point b.
Hope this helps and good luck!
Micheal is selling lemonade.He sold 6 large lemonades at $3 each and 5 small lemonades at $2 each. How much money did he earn ?
Answer:
$28
Step-by-step explanation:
Answer:
6=$3
5=$2
6x3=18
5x2=10
18+10= 28
=$28
Step-by-step explanation:
What is the result of 6 ÷ 15? Use the model to find the answer.
If the point ((4,-2) what is included in a direct viration relationship which point also belongs and variation
Answer:
The answer is "This direct variant (-4,2) is part of it".
Step-by-step explanation:
The equation expresses its direct variation relation
[tex]y = mx ........ (1)[/tex]
Where x and y vary directly, and k vary continuously.
Now so the point (4,-2) is in the direct relation of variation, so from equation (1) we are given,[tex]-2 = 4m[/tex]
[tex]\to m=-\frac{1}{2}[/tex]
The equation (1) is therefore converted into
[tex]\to y=-\frac{1}{2}x \\\\\to x + 2y = 0 ......... (2)[/tex]
Then only the point (-4,2) satisfies the connection with the four possibilities (2). Therefore (-4,2) is a direct variant of this.
Which of the following statements is true?
A) All squares are rectangles.
B) All parallelograms are rectangles.
C) All rhombuses are squares.
D) All rectangles are squares. (D is Not the answer)
x + 2y when x = 1 and y = 4
Answer:
9
Step-by-step explanation:
x = 1
y = 4
x + 2y = 1 + 8 = 9
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
9
Step-by-step explanation:
x + 2y
subtitute:
1 + 2(4)
simplify:
1 + 8 = 9
On Monday, a localamburger shop said a combined total of 225 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number
of hamburgers sold. How many hamburgers were sold on Monday?
hamburgers
х
?
Answer:
h = hamburgers sold
2h - 72 = 578
2h = 650
2 2
h = 325
There were 72 fewer cheeseburgers sold than hamburgers. That means cheeseburgers = 325 - 72
325 - 72 = 253
253 = cheeseburgers
325 = hamburgers
253 + 325 = 578
Hamburgers = 325
Hope this helps :)
Help i give fre robuc and v bucc and gems
Answer:
x intercept is -7 and y intercept is 2
Step-by-step explanation:
Answer:
x intercept (-7,0)
y intercept (0,2)
PLEASE HELP! Which point would be included in the solution set of this system of inequalities?
A. (-2,10)
B. (2,10)
C. (0,0)
D. (-2,-10)
Answer:
D
Step-by-step explanation:
-10 < -6 - 1
-10 < - 7 (ok)
-10 < -4 - 3
-10 < -7 (ok)
The answer is D (-2, -10)
Which value of w ww makes 14 = 11 + w 8 ⋅ 6 14=11+ 8 w ⋅614, equals, 11, plus, start fraction, w, divided by, 8, end fraction, dot, 6 a tru
Answer:
w=4
Step-by-step explanation:
Hi need help with this so plz help me
Gabe went out to lunch with his best friend. The bill cost $16.40 before tax and tip. He paid a 9% tax and he left a 20% tip. How much did Gabe spend?
Hint: Tax and tip are both based on the original cost of the bill.
Don't forget to round to the nearest cent!
These points are linear. Find
the slope.
x1234 5/6
y 0 48 12 16 20
Answer:
m = 4
Step-by-step explanation:
The slope for the linear points is given by :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have,
y₂ = 4, y₁ = 0, x₂ = 2, x₁ = 1
Putting all the values,
[tex]m=\dfrac{4-0}{2-1}\\\\\implies m=\dfrac{4}{1}\\\\m=4[/tex]
So, the slope of the line is equal to 4.
