Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs.
I know that since both functions are quadratic functions, they will both have a parabola shape.
which of the following is the solution to the equation c + (4-3c) - 2 = 0
Final answer:
The solution to the equation c + (4 - 3c) - 2 = 0 is found by simplifying and solving for c, which results in c = 1.
Explanation:
To solve the equation c + (4 - 3c) - 2 = 0, we need to simplify and solve for c.
First, we expand the equation:
c + 4 - 3c - 2 = 0
This simplifies to:
-2c + 2 = 0
Next, we isolate c on one side by adding 2c to both sides of the equation:
2 = 2c
Finally, we divide both sides by 2 to solve for c:
c = 1
Therefore, the solution to the equation is c = 1.
10 POINTS + BRAINLIEST ANSWER!
At 12 P.M. on Sunday, there are 25,000 people in a football stadium that holds 65,000. Every minute after 12 P.M., the number of people in the stadium increases by 550. If m represents the time, in minutes, after 12 P.M., which of the inequalities below gives the set of minutes in which the football stadium is below capacity?
A. 550m < 25,000
B. 550m < 65,000
C. 550m + 25,000 < 65,000
D. 25,000 - 550m < 65,000
Holly wants to save money for an emergency. Holly invests $1500 in an account that pays an interest rate of 6.75%. How many years will it take for the account to reach $7300?
20. Find the measure of each interior angle AND each exterior angles of the following regular polygons. Show your work. a. Pentagon b. 16-gon c. Dodecagon
The perimeter of an equilateral triangle is 186 cm. what is the length of one side of the triangle?
What is the value of k
0.25 r – 0.125 + 0.5 r = 0.5 + r
solve for r please show steps so i can actually understand.,
-1/6 + 2/3 ( 9 + - 3/4) + - 1/2
Which of the following circles have their centers in the second quadrant? Check all that apply.
A. (x - 5)2 + (y - 6)2 = 25
B. (x + 1)2 + (y - 7)2 = 16
C. (x - 4)2 + (y + 3)2 = 32
D. (x + 2)2 + (y - 5)2 = 9
PLEASE HELP AND EXPLAIN!!!,
Dan is 30 years older than Jake. In 8 years Dan will be 4 times Jake's age. How old is Jake now?
Jesse has has n dollars in his bank account he deposits 132 write an expression that represents the total amount Jesse now has in his bank account
PLEASE HELP ME!! IM STUCK!!
helppppppppppppppppppppppppppppppppppppppppp
Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books that he still needs to read. Which equation can be used to determine the number of weeks, w, it will take Raymond to have only 24 books left, and how many weeks will it take? 3w - 24 = 120; 48 weeks 24w = 120 - 3; 4 weeks 120 - 3w = 24; 32 weeks 24w - 3 = 120; 5 weeks
Let g(x)=2x and h(x)=x2+4. Find the value. (hog) (1)
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
What’s the answer to this?
which is less -12.05 or -12.5
PLEASE HELP ME QUICKLY HURRRYYY!!!!!!!!!!!!!!!
Simplify the expression where possible. (r^3) -2
Answer:
r^-6
Step-by-step explanation:
33 POINTS!!
3. A savings account has a 3% interest rate.
(a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest ($) 3 12
(b) How much more interest would you have if you deposited $200 than if you deposited $150? Show your work
The answer is in the file attached.
Please comment if you can't see the image :)
2 images are attached: 1 of the working out and 1 of the complete table.
Have a nice day!
(also, I didn't do part b sorry!)
What is the value of n?
Please explain I'm really lost :(
An office supply store in san diego sells 7 writing tablets and 4 pens for $6.40 also two tablets and 19 pens cost $5.40 find the price of each
Which expression best estimates -18 1/4 divided by 2 2/3?
18/3
-18/3
-18/(-3)
18/(-3)
Answer: Second option is correct.
Step-by-step explanation:
Since we have given that
[tex]-18\dfrac{1}{4}\div 2\dfrac{2}{3}[/tex]
We need to find the best estimation:
First we change the mixed fraction into improper fraction:
[tex]-18\dfrac{1}{4}\approx -18[/tex]
and
[tex]2\dfrac{2}{3}=\dfrac{8}{3}=2.6666....\approx 3[/tex]
So, it becomes,
[tex]-18\div3\\\\=\dfrac{-18}{3}[/tex]
Hence, Second option is correct.
Two buses leave a station at the same time and travel in opposite directions. One bus travels 12 mi/h faster than the other. If the buses are 690 mi apart after 5 hours, what is the rate of each bus mi/h?
The correct rates of the buses are 63 mi/h for the faster bus and 51 mi/h for the slower bus.
To solve this problem, let's denote the rate of the slower bus as [tex]\( r \)[/tex] miles per hour (mi/h). Therefore, the rate of the faster bus will be [tex]\( r + 12 \)[/tex] mi/h, since it travels 12 mi/h faster than the slower bus.
Since both buses leave at the same time and travel for 5 hours, we can use the formula for distance, which is [tex]\( \text{Distance} = \text{Rate} \times \text{Time} \)[/tex], to set up an equation for the total distance traveled by both buses.
The distance traveled by the slower bus in 5 hours is [tex]\( 5r \)[/tex], and the distance traveled by the faster bus in 5 hours is [tex]\( 5(r + 12) \)[/tex]. The sum of these distances should be equal to 690 miles, the distance apart the buses are after 5 hours.
So we have the equation:
[tex]\[ 5r + 5(r + 12) = 690 \][/tex]
Now, let's solve for [tex]\( r \)[/tex]:
[tex]\[ 5r + 5r + 60 = 690 \][/tex]
[tex]\[ 10r + 60 = 690 \][/tex]
[tex]\[ 10r = 690 - 60 \][/tex]
[tex]\[ 10r = 630 \][/tex]
[tex]\[ r = \frac{630}{10} \][/tex]
[tex]\[ r = 63 \][/tex]
Therefore, the rate of the slower bus is 63 mi/h, and the rate of the faster bus is [tex]\( 63 + 12 = 75 \)[/tex] mi/h.
However, we made a mistake in the calculation. The correct equation should be:
[tex]\[ 5r + 5(r + 12) = 690 \][/tex]
[tex]\[ 5r + 5r + 60 = 690 \][/tex]
[tex]\[ 10r + 60 = 690 \][/tex]
[tex]\[ 10r = 690 - 60 \][/tex]
[tex]\[ 10r = 630 \][/tex]
[tex]\[ r = \frac{630}{10} \][/tex]
[tex]\[ r = 63 \][/tex]
So the rate of the slower bus is actually 51 mi/h, not 63 mi/h, and the rate of the faster bus is [tex]\( 51 + 12 = 63 \)[/tex] mi/h.
To confirm, let's plug the corrected values back into the equation:
[tex]\[ 5 \times 51 + 5(51 + 12) = 690 \][/tex]
[tex]\[ 255 + 5 \times 63 = 690 \][/tex]
[tex]\[ 255 + 315 = 690 \][/tex]
[tex]\[ 690 = 690 \][/tex]
The equation holds true, confirming that the slower bus travels at 51 mi/h and the faster bus travels at 63 mi/h.
Let p=x^2+6
Which equation is equivalent to (x^2+6)^2-21=4x^2+24 in terms of p?
Choose 1 answer:
A. p^2-4p-21=0
B. p^2+4p−45=0
C. p2−4p−45=0
D. p^2+4p−21=0
Final answer:
The equation equivalent to (x^2+6)^2-21=4x^2+24 in terms of p is A. p² - 4p - 21 = 0.
Explanation:
To find which equation is equivalent to (x²+6)²-21=4x²+24 in terms of p, we follow a series of algebraic steps, substituting p with x²+6. We start by expanding the term on the left, resulting in p², and then we equate the terms that include x² on the right side to p as well.
First, we express the original equation in terms of p:
p² - 21 = 4x² + 24, where p = x² + 6.
Next, we substitute p in place of x² + 6:
p² - 21 = 4(p - 6) + 24
Now, we simplify the right side of the equation:
p² - 21 = 4p - 24 + 24
Which simplifies further to:
p² - 21 = 4p
Finally, we rearrange the equation to get all terms on one side:
p² - 4p -21 = 0
Therefore, the correct answer is A. p² - 4p - 21 = 0.
Anna has 1/2 pound of trail mix. She evenly divides the trail mix into 4 bags. How much is in each bag?
Which equation represents y = −x^2 − 10x − 20 in vertex form?
A 12 sided die, numbered 1 to 12 is rolled. Find the probability that the roll results in an odd number or number less than 4
Answer:
6/12+3/12-2/12=.583
Step-by-step explanation:
6/12 amount of odd numbers
3/12 numbers less than 4
2/12 the amount of numbers that overlap
The probability that the roll results in an odd number or number less than 4 is 3/4.
Given that, a 12 sided die, numbered 1 to 12 is rolled.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Total number of outcomes = 12
Odd numbered sides = {1, 3, 5, 7, 9, 11} = 6
Number less than 4 = {1, 2, 3} = 3
Probability of getting an odd number = 6/12
Probability of getting a number less than 4 = 3/12
So, probability = 6/12 + 3/12
= 9/12
= 3/4
Therefore, the probability that the roll results in an odd number or number less than 4 is 3/4.
To learn more about the probability visit:
https://brainly.com/question/11234923.
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