Answer:1 only solution
Step-by-step explanation:
If the discriminant is equal to 4, the number of solutions there are is; 2 solutions.
According to the question;
If the discriminant is equal to 4, how many solutions are there?When the discriminant is a perfect square as in 4 above; Then the solutions to the equation are not only real, but also rational.
However, If the discriminant is positive but not a perfect square, then the solutions to the equation are real but irrational.
There are 2 rational solutions if the discriminant is equal to 4.
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Renae has been playing Tower of Hanoi and has noticed that the minimum number of moves it takes to defeat the game is related to the number of disks she must move. She has recorded her observations below. Write an equation that describes this pattern. Show your work.
Number of Disks in the Tower ║Minimum Number of Moves
1 ║1
2║ 3
3 ║7
4 ║15
5 ║31
Answer:
[tex]y = 2^x - 1[/tex]
Step-by-step explanation:
Let the number of disks be x and the minimum number of moves be y.
[tex]y = 2^x - 1[/tex]
When x = 1: y = 1
[tex]y = 1 = 2 - 1 = 2^1 - 1[/tex]
When x = 2: y = 3
[tex]y = 3 = 4 - 1 = 2^2 - 1[/tex]
When x = 3: y = 7
[tex]y = 7 = 8 - 1 = 2^3 - 1[/tex]
When x=4: y = 15
[tex]y = 15 = 16 - 1 = 2^4 - 1[/tex]
When x = 5: y = 31
[tex]y = 31 = 32 - 1 = 2^5 - 1[/tex]
Notice that for each derived expression of y, the exponent of 2 is being replaced by the value of x.
The general equation is: [tex]y = 2^x - 1[/tex]
Which value makes the following inequality TRUE? 4 − 8 x > 2
A. 0
B. 1/4
C. 1/2
D. 1
Answer:
the answer is A. 0
Step-by-step explanation: if you plug in every answer the only one that ends up being true is 0.
I need help please this is due in like 20
Minutes i don’t understand this please !
Which of the following can be used for the line that a shape is to be reflected over?
Answer:
i don't know i need help with this one too
Step-by-step explanation:
Y/0.5=16
Please solve the equation ♀️
Answer:
y=8
Step-by-step explanation:
y/0.5=16
multiply each side by 0.5 and you get y=8
Answer:
y = 8
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Multiply the numbers
y = 8
Simplify (5x2 + 3x + 4) + (5x2 + 5x − 1).
10x2 + 8x + 5
25x2 + 8x + 3
10x2 + 8x + 3
10x2 + 8x − 3
first step to remove brackets
here write them in serial order,
=5x²+3x+4+5x²+5x-1
=5x²+5x²+3x+5x+4-1
=10x²+8x-3
Answer:
If I'm not mistaken your answer should be the third option: 10x2 + 8x + 3
please tell me if im wrong
Step-by-step explanation:
the volume of a box is 400 cubic meters. The width of the box is two meters and it's length is 10 more than its height, find the length and height of the box. please help asap!
Answer:
Step-by-step explanation:26
help me please please please please please
Answer:
he need 5.7 inches to tie the boat to the dock
Answer:
5.7 inches of ropes to tie his boat to a dock
i need help with this question asap!!I will give brainliest!!!please and thank you
Answer:
Step-by-step explanation:
(4,6) and (20,14) are points on the line.
slope of line = (14-6)/(20-4) = 8/16= 1/2
point-slope equation for line of slope 1/2 that passes through (6,4):
y-4 = (½)(x-6)
in slope-intercept form:
y = ½x + 1
y-intercept = 1
4w-16 60
Simplify your answer as much as possible.
>
.
X Х
5
?
Answer:
w ≤ 19
Step-by-step explanation:
4w−16≤60
Add 16 to both sides.
4w−16+16≤60+16
4w≤76
Divide both sides by 4.
4w/4 ≤ 76/4
w≤19
Answer:
w<=19
Step-by-step explanation:
4w<=60+16
w<=76/4
at 3 weeks old, a corn is 4 inches tall and at 15 weeks it is 44 inches tall. calculate the rate of change.
Answer:
Im not a hundred percent sure if this is the right answer but im pretty sure it is 3.33333 repeated so the rate of change is 3 inches per week.
Step-by-step explanation:
I calculated the problem by subtracting the weeks from each other subtracting the amount of length corn has grown too. I found that the corn grew 40 inches in 12 weeks. So I divided the amount of weeks and the amount it has grown and it gave me 3.333333 repeated which makes the answer 3 inches per week. correct me if im wrong...
Hope this helps:)
if socks cost $8.97 for 3 pairs how much does one pair cost?
Answer:
7
Step-by-step explanation:
Answer:
$2.99
Step-by-step explanation:
$8.97/3 = 2.99
$8.97 divided by 3 equals $2.99
Good Luck!
HELP PLEASEEEEEE!!!!!!
Answer:
x > -6
Step-by-step explanation:
Please help I will give you BRAINLIEST for the correct answer
Answer: G is one B is one and F is one
Step-by-step explanation:
Answer:
15.27 10.18
you have toadd them till you get the stuff
Step-by-step explanation:
make sure you x it to
Solve the equation 17=5k-3
Answer:
4
Step-by-step explanation:
Simplifying
17 = 5k + -3
Reorder the terms:
17 = -3 + 5k
Solving
17 = -3 + 5k
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-5k' to each side of the equation.
17 + -5k = -3 + 5k + -5k
Combine like terms: 5k + -5k = 0
17 + -5k = -3 + 0
17 + -5k = -3
Add '-17' to each side of the equation.
17 + -17 + -5k = -3 + -17
Combine like terms: 17 + -17 = 0
0 + -5k = -3 + -17
-5k = -3 + -17
Combine like terms: -3 + -17 = -20
-5k = -20
Divide each side by '-5'.
k = 4
Simplifying
k = 4
1. Find the value of x. in the below given diagram
Geenas hair grew 1 and 1/8 in 3 months
How many pounds are in 9 gallons?
Answer: 75.108
Step-by-step explanation:
1 gallon is 8.3454 lb so multiply by 9 to get the answer
8.345*9= 75.105 lbs
So there are 75 lbs in 9 gallons
factor the polynomial
Answer:
Step-by-step explanation:
[tex]6a^2-13ab-5b^2\\ \\ 6a^2+2ab-15ab-5b^2\\ \\ 2a(3a+b)-5b(3a+b)\\ \\ (2a-5b)(3a+b)[/tex]
If 8 students want to share 62 gallons of water for a water balloon fight,
how many gallons of water should each student get?
Answer:
Each student should get 7:75 gallons of water
Step-by-step explanation:
Do 62 divided by 8
Write the equation of the line that passes through the points (4, -8) and (-8, 1).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y = -3/4x -5
Step-by-step explanation:
(4, -8) and (-8, 1)
m = (y2-y1)/(x2-x1)
m= (1+8)/(-8-4)
m = (9)/(-12)
m = -3/4
y - y1 = m(x-x1)
y + 8 = -3/4(x -4)
y + 8 = -3/4x + 3
y = -3/4x -5
Answer:
y = -3/4x - 5
Step-by-step explanation:
Hope this helps!
A rental car company charges $55.98 per day to rent a car and $0.14 for every
mile driven. Joseph wants to rent a car, knowing that:
• He plans to drive 375 miles.
• He has at most $300 to spend.
What is the maximum number of days that Joseph can rent the car while
staying within his budget?
Answer:
4 days
Step-by-step explanation:
0.14 × 375= $52.50
$300-52.50=247.50
247.50 ÷55.98= 4.42122186495
round 4.42122186495 to the nearest whole that won't go over 300 and its 4 at $223.92 and the if you add your 52.50 thats $276.42
15. Geoff can mow an entire lawn of 450 square feet in 30 minutes. Assuming he mows at a constant rate, write the linear equation that represents the situation
Answer:
y=15x
Assuming he is mowing at a constant rate it would be 15 square feet per minute.
Step-by-step explanation:
8 + 3 + 2a = -1 + 3a + 4
Answer:
a = 8
Step-by-step explanation:
8 + 3 + 1 - 4 = 3a - 2a
8 = a
a = 8
I hope this helps a little bit.
$60,000 is invested for 2 years at a simple interest rate of 5%. how much does the investment earn?
Answer:
6,000
Step-by-step explanation:
It's correct trust me
please help me with this problem, i'd appreciate it sm and thank u for taking the time out of your day to help me and others. :)
Answer:
7. Each sweatshirt is $60
8. Table is 3,60 and 5, 100 and 8,160 and 9,180 and 12,240
9. You would graph table by plotting the x,y coordinates of each point on a graph and connecting the dots to show linear relationship
Step-by-step explanation:
Help quick pls
which figure is the image of figure 1 after reflection over the y-axis and a translation 3 units down?
The image of figure 1 after reflection over the y-axis and a translation 3 units down is figure B.
What is the reflection on y-axis?When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Coordinates of figure 1 are (-1, 1), (-1, 2), (-2, 2), (-3, 1), (-2, 4) and (-3, 4)
Reflection on y-axis, we get
(1, 1), (1, 2), (2, 2), (3, 1), (2, 4) and (3, 4)
Translation 3 units down
(1, 1-3), (1, 2-3), (2, 2-3), (3, 1-3), (2, 4-3) and (3, 4-3)
(1, -2), (1, -1), (2, -1), (3, -2), (2, 1) and (3, 1)
Figure B has following coordinate points, (1, -2), (1, -1), (2, -1), (3, -2), (2, 1) and (3, 1)
Therefore, the image of figure 1 after reflection over the y-axis and a translation 3 units down is figure B.
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The coordinates of L and M are (3, 6) and (9, 8) respectively. X is the mid-point of LM, determine the coordinate of the point X. *
Guys please help me, I’ve been stuck on this question for a bit. I will mark you brainliest (:
Answer:
The slope is 3
Step-by-step explanation:
m = rise/run
Imma use points (4,1) and (5,4)
rise = 3
run = 1
3/1
m = 3
plz mark as brainliest if correct!
Do the ratios 7/18 and 1/3 form a proportion?
Answer:
no, it does not format a proportion, they are not equal