Given:
f(x) and g(x) are two quadratic functions.
[tex]f(x)=-8x^2-7[/tex]
The table of values for the function g(x) is given.
To find:
The statement that best compares the maximum value of the two functions.
Solution:
We have,
[tex]f(x)=-8x^2-7[/tex]
Here, the leading coefficient is -8 which is a negative number. So, the function f(x) represents a downward parabola.
We know that the vertex of a downward parabola is the point of maxima.
The vertex of a quadratic function [tex]f(x)=ax^2+bx+c[/tex] is:
[tex]Vertex=\left(\dfrac{-b}{2a},f(-\dfrac{b}{2a})\right)[/tex]
In the given function, [tex]a=-8,b=0,c=-7[/tex].
[tex]-\dfrac{b}{2a}=-\dfrac{0}{2(-8)}[/tex]
[tex]-\dfrac{b}{2a}=0[/tex]
Putting [tex]x=0[/tex] in the given function, we get
[tex]f(0)=-8(0)^2-7[/tex]
[tex]f(0)=-7[/tex]
So, the vertex of the function f(x) is at (0,-7). It means the maximum value of the function f(x) is -7.
From the table of g(x) it is clear that the maximum value of the function g(x) is 6.
Since [tex]6>-7[/tex], therefore g(x) has a greater maximum value than f(x).
Hence, the correct option is C.
Answer: the other answer is wrong the right one is
f(x) has a greater maximum value than g(x).
Step-by-step explanation:
i have 25 coins,x of them ard R5 coins and the rest are R2 coins.What is an expression in terms of x for number of R2 coins?
9514 1404 393
Answer:
25 - x
Step-by-step explanation:
Subtracting the number of R5 coins from the total number of coins will give the number of R2 coins:
25 - x . . . . . . number of R2 coins
What is the equation for this word problem?:
Ravi needs to read 3 novels each month.
Let N be the number of novels Ravi reads in M months
Help!
Answer:
N = 3M
Step-by-step explanation:
2. A bicycling club has 58 members, of which 4 are males and the rest are females. What is the ratio of females to males?
please help is ratio
Answer: 54:4
Step-by-step explanation:
Pls help I need a good grade
A
Step-by-step explanation:
m+n
2..................
Find the greatest power of 3 that is divisible of 100!
Answer:
There is no greatest power of 3 that is divisible of 100.
Step-by-step explanation:
Since any number can always be divisible of 100, there would be no greatest power of 3 that is divisible of 100 since the powers can go on and on forever without stopping, and all powers of 3 is able to be divided by 100.
Directions: Write your answer in the box. Do not use spaces.
Find the volume of the microwave popcorn box when the length is doubled.
XOTIR
FOPCOXE
h = 6.25 in.
Nota
TN
show
side.
w - 2.5 in.
26 in.
I
Volume doubled =
in3
a
b
Answer:
New volume will become 187.5 inch²
Step-by-step explanation:
Initial volume,
V = lbh
Put all the values,
V = 6.25 × 2.5 × 6
V = 93.75 inch³
When the length is doubled, l' = 2(6) = 12 inch
New volume,
V' = 12 × 6.25 × 2.5
= 187.5 inch²
So, when the length is doubled, the new volume will become 187.5 inch².
I NEED HELP NOW PLEASE
Answer: B : Stretches vertically by factor 3
Step-by-step explanation: Can you mark this brainliest if this is right?
Raul has a garden shaped like the trapezoid below. All the
measurements are in feet.
6
7
4
5
8
What is the area of the garden in square feet?
A spinner has three equal sections labeled 1, 2, and 3
Which organized list shows the possible outcomes for spinning the spinner twice?
Ο Α
o 1,1; 1,2; 1,3
o 2,1,2,2,2,3
o 3,1; 3,2; 3,3
ОВ
o 1,2; 1,3
o 2,1,2,3
o 3,1,3,2
Ос.
o 1,1; 1,2; 1,3
o 2.2; 2,3
o 3,3
OD
1,1; 1,2; 1,3
the answer is hi Step-by-step explanation:
Answer:
answer: A
Hope that helps!
solve for x
-ax - 20 = -14
Answer:
x = 6/-a
Step-by-step explanation:
To solve for x, you need to isolate it one one side of the equal sign.
-ax - 20 = -14
First, add 20 to both sides of the equal sign
-ax = 6
Then, divide both sides by -a
x = 6/-a = -6/a
A commuter crosses one of three bridges, A, B, or C, to go home from work. The commuter crosses bridge A with probability 1/3, crosses bridge B with probability 1/6, and crosses bridge C with probability 1/2. The commuter arrives home by 6pm with probability 75%, 60%, and 80% by crossing bridge A, B, or C, respectively. If the commuter arrives home by 6pm, find the probability that bridge B was used.
Answer:
0.1333 = 13.33% probability that bridge B was used.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Arrives home by 6 pm
Event B: Bridge B used.
Probability of arriving home by 6 pm:
75% of 1/3(Bridge A)
60% of 1/6(Bridge B)
80% of 1/2(Bridge C)
So
[tex]P(A) = 0.75*\frac{1}{3} + 0.6*\frac{1}{6} + 0.8*\frac{1}{2} = 0.75[/tex]
Probability of arriving home by 6 pm using Bridge B:
60% of 1/6. So
[tex]P(A \cap B) = 0.6*\frac{1}{6} = 0.1[/tex]
Find the probability that bridge B was used.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.75} = 0.1333[/tex]
0.1333 = 13.33% probability that bridge B was used.
Avenue A is perpendicular to North Street. What is
the relationship between Avenue A and South
Street? Explain your reasoning.
South Street is parallel to North street, so the relationship between Avenue A and South St is also perpendicular.
The relationship between Avenue A and South Street is Both are perpendicular to each other.
What is Direction Sense?
Ability to find one's way around easily in a new place or a good/poor sense of direction.
Here, Avenue A is perpendicular to North street
and North street is parallel with south street
Thus, Avenue A is perpendicular to south street.
Learn more about Direction Sense from:
https://brainly.com/question/9238896
#SPJ2
?! if you make $360 a week what is your yearly wage ?
Answer:
18,720
Step-by-step explanation:
there are approximately 52 weeks in a year
Answer:
$18,720
Step-by-step explanation:
Complete the statement.
63 mi
mi
h
sec
Please answer ASAP worth 25 points
Answer:
63miles/hour=63miles/[60×60]sec=
0.0175miles/sec
Francesca is growing 12 inch each year. How many years will it take for her to grow 6 inches?
A. 2 years
B. 4 years
C. 8 years
D. 12 years
Answer:
If she is growing 12 inches a year, then it would take her 6 months to grow 6 inches. Unless you didn't write the question correctly, none of those are the answer..
Lucas received $35 from his friend for his birthday. He wants to purchase a new keyboard that is $19 and wants to spend the rest on a monthly subscription for computer games. The monthly subscription costs $5 per month. What is the max number of months that Lucas can pay for?
Answer:
3 months
Step-by-step explanation:
35
- 19
= 16 left after keyboard
- 15 Three months of subscription costs
Dara has to solve 35 math problems for homework. She has completed 14 of them. What fraction of the problems does she have left to do?
Answer:
The answer is 21/35 or 3/5
Step-by-step explanation:
35-14=21
Find the amount of tax and the tax rate. Round to nearest hundredth of a percent . Cost of item: $118 Selling price: $132.37 Tax Amount: $ Tax Rate percentage%
Answer:
The amount of tax is $14.37 and the tax rate percentage is 12.18%
Step-by-step explanation:
Find the amount of tax by finding the difference between the cost and selling price:
132.37 - 118
= 14.37
Find the tax rate percentage by dividing the tax by the original cost, and multiplying it by 100:
(14.37/118) x 100
= 12.18
The amount of tax is $14.37 and the tax rate percentage is 12.18%
Find the interquartile range for each data set.Round your answers to the nearest tenth. 19,13,15,26,11,15,17,5,2,0,2,2,4,3,4,6
Answer:
12.5
Step-by-step explanation:
have a good day! :)
i am too lazy can someone solve this for me.
A bakery sold a total of 500 cupcakes in a day, and 190 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?
Answer:
20% of them we flavored vanilla that day
Step-by-step explanation:
What is the slope of the line that passes through the points (26, 7) and (-39, 12)?
A 11/13
Step-by-step explanation:
1
ROUND 12.516 TO THE FATHES POSSIBLE PLACE TO THE RIGHT
Answer:
12.52
Step-by-step explanation:
If the spinner to the right is spun once, what is the probability
that it lands on a star or a shaded region?
Answer: i think its star because it sounds right and well i tryed it before and you should to.
Answer this simple quick question!! Pls :)
Answer:
D
pls mark me as Brainiest :}
Step-by-step explanation:
pls answer this about mathh
Note :: no links no explain no
Step-by-step explanation:
B.
AC =BC
2x-6=x+8
2x-x=8+6
x=14
5) AC = 2x-6=2(14)-6=28-6= 22
6) BC = x+8= 14+8= 22
7) AB = AC+BC = 22+22= 44
C.
AC =BC
4x+10=7x-5
4x-7x= -5-10
-3x= -15
x= -15/-3 = 5
8) AC = 4x+10=4(5) +10=20+10= 30
9) BC = 7x-5= 7(5) -5=35-5= 30
10) AB = AC+BC = 30+30= 60
B) Solution
AC = BC
→ 2x-6 = x+8
→ 2x-x = 8+6
→ x = 14
5:- AC = 2x-6 = 2(14)-6 = 28-6 = 22
6:- BC = x+8 = 14+8 = 22
7:- AB = AC+BC = 22+22 = 44
C) Solution
AC = BC
→ 4x+10 = 7x-5
→ 4x-7x = -5-10
→ -3x = -15
→ x = -15/-3
→ x = 5
8:- AC = 4x+10 = 4(5) +10 = 20+10 = 30
9:- BC = 7x-5 = 7(5)-5 = 35-5 = 30
10:- AB = AC+BC = 30+30 = 60
kenneth has a job that pays $11 per hour after taxes are taken out. He’s trying to save enough money to buy a video game that costs $90 . write an inequality to determine the minimum number of hours to buy the video game .
Answer:
[tex]11x\leq 90[/tex]
Step-by-step explanation:
11 is the amount per hour, x stands for the number of hours, and he needs to earn at least 90 dollars.
1. Which expression represents the
factored form of x2 - 13x + 36?
A (x - 4)(x - 9)
B (x - 3)(x - 12)
C (x + 9)x - 4)
D (x + 12)(x - 3)
Answer: Hello, There! your Answer is Below
A (x - 4)(x - 9)
Step-by-step explanation:
Find p, and q, knowing sum = b = 13 and product c = 36. Compose factor pairs of 36-> (2, 18)(2, 12)(4, 9). this last sum is 9 = b. Then p = 4 and q = 9
Hope this Helps you!!
Have a great day!!
A fair coin is flipped nine times. What is
the probability of the coin landing tails up
exactly four times?
Show solution please
Answer:
d
d
b
a
c
a
b
Step-by-step explanation:
The long side of a rectangle is 2b + 3 units, and its area is 2b ^ 2 - 5b - 12 Find the width .
Answer:
b - 4
Step-by-step explanation:
This can be done by factoring.
Area = length x width
2b^2 - 5b - 12 = (2b + 3)( ???)
Factor the area into (2b + 3)(b - 4). The width is b - 4.
Answer:
The answer is b - 4
Step-by-step explanation: