Please help!
The graphs of f(x)=−2x and g(x)=(12)x are shown.
What are the solutions to the equation −2x=(12)x ?
Select each correct answer.
-2
-1
2
4
Answers
Answer:
-1 and -2
Step-by-step explanation:
The function 2 represented by the equation f(x) = -(x - 2)² + 5 has the larger maximum.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
The functions are given as:
Function 1
f(x) = -(x - 4)² + 1
Function 2:
f(x) = -(x - 2)² + 5
A quadratic function is represented as a (x - h)² + k, when a is negative then, the vertex of the function is a maximum. In both functions, the value of a is -1. This means that both functions are at a maximum
The values of k in both functions are k = 1 and k = 5. By comparison, 5 is greater than 1. Therefore, function 2 has larger maximum.
Read more about quadratic functions at:
brainly.com/question/4140287
#SPJ3
complete question;
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 15 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (−14, 1).
Related Questions
Two amounts of money are in the ratio 8:3 if the second amount is 4.05,what is the value if the first amount?
Answers
Answer: 10.75 currency units
Step-by-step explanation:
The amounts of money are in the ration 8:3 which means that for every 3 units of the second amount, there are 8 units of the first.
Use direct proportion to solve:
8 : 3
x ; 4.03
Cross multiply to get:
3x = 32.24
x = 32.24 / 3
x = 10.75 currency units
What are the domain and range of the function f(x)= x+5?
Answers
Answer:
top answer, domain and range have no restrictions
Step-by-step explanation:
Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m, providing a floor area of 45 m2. what is the percentage
Answers
Answer:
The percentage change is 140%
Step-by-step explanation:
Given
[tex]L= 3W_1[/tex] ---- initial dimension
[tex]W_2 = 6m[/tex] --- new width
[tex]A_2 = 45m^2[/tex] --- new dimension
Required
The percentage increment
The length remains constant because only the width is extended.
The new area is:
[tex]Area =Length * Width[/tex]
[tex]A_2=L * W_2[/tex]
Make L the subject
[tex]L = \frac{A_2}{ W_2}[/tex]
Substitute values for A and W
[tex]L = \frac{45m^2}{6m}[/tex]
[tex]L = \frac{45m}{6}[/tex]
[tex]L = 7.5m[/tex] --- this is the length of the garden
Calculate the initial width:
[tex]L= 3W_1[/tex]
Make W1 the subject
[tex]W_1 = \frac{1}{3} * L[/tex]
[tex]W_1 = \frac{1}{3} * 7.5[/tex]
[tex]W_1 = 2.5[/tex]
So, the initial area is:
[tex]A_1 = L_1 * W_1[/tex]
[tex]A_1 = 2.5 * 7.5[/tex]
[tex]A_1 = 18.75[/tex]
The percentage change in area is:
[tex]\%A = \frac{A_2 - A_1}{A_1}[/tex]
[tex]\%A = \frac{45 - 18.75}{18.75}[/tex]
[tex]\%A = \frac{26.25}{18.75}[/tex]
[tex]\%A = 1.4[/tex]
Express as percentage
[tex]\%A = 1.4*100\%[/tex]
[tex]\%A = 140\%[/tex]
8. Ethan has $63 in his bank account at the
end of June. During the month of June, he
deposited $285 and wrote cheques for $85,
$41, and $9. As well, he withdrew $75
from a bank machine.
a) Write an integer to represent the
value of Ethan's bank account at
the beginning of June.
Answers
Answer:
-$12
Step-by-step explanation:
Working backwards from the $63, you need to add back what was withdrawn and subtract what was deposited.
63+75+9+41+85-285= -$12
Chris is playing a card game with his friends. The game uses only the four aces from a standard deck of cards. For each move, a player draws one card, replaces it, and then draws the second card.
Answers
Answer:
1/4
Step-by-step explanation:
Let's call the aces for hearts, diamonds, clubs, and spades. So, are red and [tex] c, s[/tex] is black.
Since the first card is replaced, the two picks are identical. This means that the sample space is given by all the possible couple
There are 16 such couples (we have four choices for the first card, and the same four choices for the second card). Now let's compute the odds in our favor to deduce the probability of winning:
If we want a player to draw two cards of the same color, the following couples are good:
so 8 possible couples over 16. This means that a player's probability of drawing two cards of the same color is 8/16 = 1/2.
Similarly, the probability of drawing a red ace first and then a black ace is represented by the following couples:
which are 4 over the same 16 as above, thus leading to a probability of 4/16 = 1/4.
if def geh solve for x
Answers
Answer:
huh???
Step-by-step explanation:
Help me with area, please.
Answers
Answer:
Num. 2: A = 25, Num. 3 = 63, Num. 4 = 80
Step-by-step explanation:
I'll help with as many as I can, so a few of them I won't be able too answer. You should re-post those later. Good luck, hope this helps.
For number 2:
First, turn the triangle into a rectangle by cutting it in half and attaching it to the other half so it forms a rectangle.
Since you cut the triangle in half, you also have to split 5 in half, so the bottom length is now 2.5.
Now, simply multiply 2.5 by 10, and you have the area for number 2.
The area for number 2 is 25.
For number 3:
This one is much easier. Just think of the shape as a normal square that has been tipped to the side. That means that you would solve for area the same way: 9 x 7, which means that the area for number 3 is 63.
For number 4:
This one is also easy. Simply cut, and paste. Now the right side is 10, and the top side is 8. Multiply, and the area will be 80 m.
Please re-post 1 and 5, as I am not able to solve them. Sorry this answer took so long!
58:36
If Zöe orders a book from Store Y, how much tax will she pay?
Comparison of Online Bookstores
Store X
Store Y
Cost of book
$17.00
$18.00
Tax rate
6%
8%
Shipping
10% of cost before tax
FREE
$1.44
$2.25
O $12.25
O $14.40
Answers
Answer:
$1.44
Step-by-step explanation:
Tax is a compulsory sum levied by the government. it increases the price of the good
tax paid = tax rate x price of the book
18 x 8%
18 x 0.08 = $1.44
Which of the following shows 3x + 15 + 6x – 7 + y in simplest terms?
Answers
it should be
9x+1y+8
^it could be just y instead of 1y
Answer:
the answer is = 9x+y+8
Step-by-step explanation:
...
does anyone know the answer?
Answers
Answer:
x = 145
Step-by-step explanation:
The angles are same side exterior angle and same side exterior angles are supplementary
x +35 =180
Subtract 35 from each side
x = 180-35
x =145
Answer:
x=145
Step-by-step explanation:
180 -35 = 145
angle in a straight line add up to 180
x=145
F angle /corresponding angle are the same
Need help !!!!!!!!!!!!!!!!! This is a shape that is required to be broken up into multiple parts to find the total volume.
What is the total volume of this shape?
Answers
Smising, pharming and phishing are three security threats that can occur when using the internet
for shopping. When the user types in a URL they are directed to a fake website. *
A ) Phishing
B ) Pharming
c ) Smishing
Answers
Answer:
B ) Pharming
Step-by-step explanation:
When the user types in a URL they are directed to a fake website this is known as Pharming. This is one of many cyber attacks and usually occurs from a virus that has found it's way into your personal computer or server. The harmful virus basically waits until you open your internet browser and type in a URL to a specific website. Instead of taking you to that correct website it will take you to a replica site which will send all the information that you input, back to the creator of the virus. This is done so that they can obtain all of your personal information including bank details.
David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually
Answers
Complete Question
David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually.how many stores does the restaurant operate in 2020?
Answer:
[tex]N_{11} \approx 749[/tex]
Step-by-step explanation:
From the question we are told that:
Number of Fast Food Restaurants [tex]P=200[/tex]
Number of years [tex]t=11yrs[/tex]
Rate [tex]r=12%[/tex]
Generally the equation for the Number of restaurant in operation in 2020 is mathematically given by
[tex]N(t)=Pe^{rt}[/tex]
Therefore
For t=11
[tex]N_{11}=200*e^{0.12*11}[/tex]
[tex]N_{11}=748.7[/tex]
[tex]N_{11} \approx 749[/tex]
The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116. What are the numbers?
Answers
Answer:
SMALLER NUMBER = 14
BIGGER NUMNER = 34
Step-by-step explanation:
Two equations can be derived from the question
a + 2b = 62 equation 1
3a - b = 116 equation 2
a = bigger number
b = smaller number
multiply equation 1 by 3
3a + 6b = 186 equation 3
subtract equation 2 from 3
5b = 70
b = 14
substitute for b in equation 1
a + 28 = 62
a = 34
Work out the size of angle X ?
Answers
Answer:
x = 121°
Step-by-step explanation:
∠ 1 + 115° = 180°
∠ 1 = 180 - 115
∠ 1 = 65°
∠ 2 + 304° = 360°
∠2 = 360 - 304
∠ 2 = 56°
∠ 1 + ∠ 2 + ∠ 3 = 180°
65° + 56 ° + ∠ 3 = 180°
∠3 = 180 - 65 - 56
∠ 3 = 59°
∠3 + x = 180°
59° + x = 180°
x = 180 - 59
x = 121 °
If h(2) = 5 – 722, what is h(-1)?
Answers
Answer:
Step-by-step explanation:
What are the real roots of the function in the graph?
Answers
Answer:
-1 and 3
Step-by-step explanation:
The real roots of a function are located where the function passes through the x-axis. In this case, the function passes through x=-1 and x=3, making them the real roots of the function.
Question 9 of 10
In the diagram below, AB is parallel to CD. What is the value of y?
A. 50
OB. 150
ООО
C. 30
D. 60
Answers
Answer:
30°
Step-by-step explanation:
it is the alternating angle.
Evaluate 4-2 f when f= 1.
Answers
╭═══════ღ❦ღ══╮
[tex]\boxed{ \sf{Answer}}[/tex]
⏩ Substitute the value of 'f' in the equation.
[tex]4 - 2f \\ = 4 - 2(1) \\ = 4 - 2 \\ = 2[/tex]
⏩ The answer will be 2.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
╰══ღ❦ღ═══════╯
Answer:
2
Step-by-step explanation:
If you multiply 2 by 1, you get 2. Then subtract 2 from 4 to get 2.
Hope that this helps!
Which store has the best buy on king-size candy bars?
Answers
How many cubic centimeters are in a rectangular prism with a length of 3, a width of 3 and a height of 4
Answers
Answer:
I think it would be 36, if you use Area=Length×Width×Height
pls help me on this i don't know what to do
Answers
Answer:
D.
Step-by-step explanation:
Standard Form (Quadratic): [tex]y=ax^2+bx+c[/tex]
Vertex Form (Quadratic): [tex]y=a(x-h)^2+k[/tex]
Intercept Form (Quadratic): [tex]y=a(x-p)(x-q)[/tex]
p,q are x-intercepts
x-intercepts given in graph: -2,4
[tex]y=a[x-(-2)](x-4)[/tex]
eqn 1: [tex]y=a(x+2)(x-4)[/tex]
Plug in the given point to find 'a' : (3,-5)
[tex]-5=a(3+2)(3-4)[/tex]
[tex]-5=a(5)(-1)[/tex]
[tex]1=a[/tex]
Substitute 'a' in to eqn 1.
[tex]y=1(x+2)(x-4)[/tex]
eqn 2: [tex]y=(x+2)(x-4)[/tex]
Expand eqn 2. (can use FOIL)
[tex]y=x^2-2x-8[/tex]
Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
(x + 1)(x + 8)
(x + 2)(x + 6)
(x + 4)(x + 4)
(x + 5)(x + 4)
Answers
If you distribute this
(x*x) + (x*8) + (x*1) + (8*1)
x^2 + 8x + 1x + 8
x^2 + 9x + 8
What is the approximate area is the shaded sector in the circle shown below?
Answers
Answer:
B.
Step-by-step explanation:
1) the area of the given circle is: A=π*r²=256π (in²).
2) the part of the shaded sector is 110/360=11/36, it means that the required area of the shaded sector is: 11/36 * A = 256* π * 11 / 36≈246 (in²).
help me plzzzzzzzzzzz
Answers
Answer:
Top row, third one from left to right
Step-by-step explanation:
Use test points:
when x = 0 , y = 2(0) - 4 = 0 - 4 = -4
(0, -4)
when y = 0, 0 = 2x - 4, 4 = 2x, 2 = x
(2, 0)
Top row, third one from left to right
A pile of newspapers in Ms.
Clark's room was 7inches
high. If the pile increased in
height by 4 inches each
week. What is the height of
the pile after 4 weeks?
Answers
Answer:
4*4=16+7=23
Step-by-step explanation:
4 inches x 4 weeks is 16 inches
7 + 16 = 23
A farmer has developed a new type of fertilizer. This new fertilizer costs 20
percent more to produce than the old fertilizer but has better results: The
same land now produces 25 percent more crops each year.
Which statement best describes one way the farm will be affected by using
this new fertilizer?
A. The farm's marginal cost for fertilizer will decrease.
B. The farm's marginal cost for fertilizer will increase.
C. The farm's opportunity cost for using fertilizer will decrease.
D. The farm's opportunity cost for using fertilizer will increase.
Answers
Answer:
A
Step-by-step explanation:
Marginal cost is the change in total cost as a result of increasing output by one unit
Marginal cost = Δcost / Δquantity
0.2 / 0.25 = 0.8
The marginal cost would decrease because the change in output is higher than the change in total cost
Marginal benefit would increase
Opportunity cost is the cost of the opportunity forgone when one alternative is chosen over other alternatives. There is no enough information given to determine the impact on opportunity cost
In the triangle above a = 12 and c = 26. Find the value of b to the nearest hundredth.
Answers
Please help with these 2 problems, fill in the blank
Answers
Answer: a. -6x
b. 3a; -3a2 (square) ; - 6
Step-by-step explanation:
Aseem and Stana are building model cars. stanas car is 5 less than 2 times the length of Aseem's car. The sum of the lengths of both cars is 20. write an equation to determine the lengths of Aseem's and Stana's cars
Answers
Answer:
Aseem’s : 8.3, Stana’s : 11.6
Step-by-step explanation:
Aseem: x
Stana: 2x-5
X+2x-5=20
3x=25
X = 8.3
