Step-by-step explanation:
Explanation:
Given:
−3x2+12x+1=0
This is in the form:
ax2+bx+c=0
with a=−3, b=12 and c=1
In order to decide which method to use, we can first examine the discriminant:
Δ=b2−4ac=122−4(−3)(1)=144+12=156
Since Δ>0 we can tell that the quadratic has 2 distinct real solutions, but because it is not a perfect square we can also tell that those solutions are irrational.
So there is no rational factorisation and we can discount the use of an AC method or similar.
We can use the quadratic formula or we can complete the square.
If we choose to use the quadratic formula, then we find:
x=−b±√b2−4ac2a
x=−b±√Δ2a
x=−(12)±√1562(−3)
x=−12±2√39−6
x=2±√393
When completing the square, note that b=12 is already divisible by a=−3 and by
Using the line ab name two line segments
Brainliest
Answer:
A. AC, CB
Step-by-step explanation:
The answer you have selected is correct because a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. Thus the answer A is correct!
Hope this helps
All the love, Ya boi Fraser :)
Answer:
Give him brainliest!
Step-by-step explanation:
Just by looking at the question x + 6 + 2x = 2x + 6 + 4 so what does x equal and why?
I need help fast!
Answer:
x = 4
Step-by-step explanation:
x + 6 +2x = 2x + 6 + 4
combine like terms:
3x + 6 = 2x + 6 + 4
add numbers:
3x + 6 = 2x + 10
subtract 6 on both sides:
3x + 6 - 6 = 2x + 10 - 6
3x = 2x + 4
subtract 2x from both sides:
3x - 2x = 2x - 2x + 4
x = 4
short explanation:
if you look at the equation, both sides have 6 and 2x which would cancel each other out. That would leave x = 4
I WILL GIVE BRAINLIST EASY QUESTION
What was done to turn the parallelogram into a rectangle?
Hint (The length of the segment the figure was cut along is the height of the parallelogram)
Who ever answers I will give brainlyst
- The scatterplot shows the average number of hours each of 13 people spends at work every
week and the average number of hours each of them spends on recreational activities every
week.
Based on the scatterplot, what is the best prediction of the average number of hours a person
spends at work every week if that person spends an average of 10 hours on recreational
activities every week
Answer:
5h
Step-by-step explanation:
Can u help me out with my newest one???
Answer:
5h
Step-by-step explanation:
HEEEELPPPPPPPpp!!!!!!!!!!!!!
0.00031 = ________ %
Answer:
0.031%
Step-by-step explanation:
Answer:
0.031%
Step-by-step explanation:
0.00031 x 100= 0.031%
Hope this Helps!
What is the slope of the line?
2
1
-2
1 / 2
Answer:
1
Step-by-step explanation:
please help, I did it 3 times but can't seem to get is right
Answer:
A' = (-2,0)
Step-by-step explanation:
imagine a mirror being along the line y=2.
Then A's mirror image would appear at -2,0.
are these true or false plz help
Answer:
v
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
A handbag company had 5% of the market in 2011 in 2015 it had 23%.
(a) Write a linear equation expressing the percentage of the luxury handbag market y that the company had x years after 2000
Answer:
[tex]y = 0.045x -0.445[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1)=(11,5\%)[/tex] ---- in 2011
[tex](x_2,y_2)=(15,23\%)[/tex] --- in 2015
Required
Linear equation for x years after 2000
First, calculate the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{23\% - 5\%}{15 - 11}[/tex]
[tex]m = \frac{18\%}{4}[/tex]
[tex]m = 4.5\%[/tex]
[tex]m = 0.045[/tex]
The equation for x years after 2000 is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 0.045(x - 11) + 5\%[/tex]
[tex]y = 0.045x - 0.495 + 0.05[/tex]
[tex]y = 0.045x -0.445[/tex]
(Enough for 6 people)
25 ml butter
How
many
Mililitres of butter will she need for 12
People?
Answer: 50 ml of butter
Step-by-step explanation:
In the given diagram , TY is a tangent to the circle TVS . If <SVT = 48° and |VS| = |ST| . What is < VTY.
Answer:
84°Step-by-step explanation:
∠VTY is the tangent chord angle
Tangent chord angle is the half of the intercepted arc∠TSV is the inscribed angle.
Inscribed angle is the half of the intercepted arcSince both of the mentioned angles refer to same arc, they are of same value.
∠VTY = ∠TSVΔTVS is isosceles as VS = ST, therefore the opposite angles are same.
m∠T = m∠V = 48°The measure of angle S
m∠S = 180° - 2*48° = 84°The required angle
m∠VTY = 84°Answer:
∠VTY = 84°
Step-by-step explanation:
because ΔTSV is isosceles (ST = SV) then ∠VTS = ∠SVT = 48°
Then ∠VST = 84° (180 - 48 - 48 = 84)
Well, I'm going back to the picture is worth a thousand words again.
Sketch attached:
A line from S to the center bisects ∠VST into two 42° angles.
A line from T to the center forms a 42° angle with line ST.
48°-42° = 6° = angle from perpendicular line CTR to line VT.
90° - 6° = 84° for ∠VTY
A person 2.1 m tall casts a shadow 5.3 m long. At the same time, a building casts a shadow 34
m long. How tall is the building?
what should be subtracted from 3 by 5 to get 1 by 5
Answer:
2/5
Step-by-step explanation:
Hope this helps you!!!
Answer:
2/5.
Step-by-step explanation:
because
3/5+2/5= 1
so, 2/5 will be the answer.
I hope this helps :)
Neptune's average distance from the Sun is 4.503 × 109 km. Mercury's average distance from the Sun is 5.791 × 107 km. About how many times farther from the Sun is Neptune than Mercury
9514 1404 393
Answer:
Step-by-step explanation:
The ratio of distances is ...
Neptune distance / Mercury distance = (4.503×10^9)/(5.791×10^7)
= 450.3/5.791 = 77.76 . . . . cancelling factors of 10^7
Neptune is about 77.76 times as far from the Sun as Mercury is.
You have 20dollar sign, 20 to spend on taxi fare. The ride costs $5dollar sign, plus $2.50 sign, per kilometer. Write an inequality to determine the distance in kilometers, d, you can ride for $20dollar sign, 20.
Answer:
20=5+2.5d
Step-by-step explanation:
What is the inverse of the following statement? If the measurement of an angle is 90 degrees, then it is a right angle
Five kids had b bags of chips each. A parent had a 20 pack of chips and 4 individual bags that they split between the kids. Write an expression that represents the number of bags each kid had.
Answer:
2.20 by4
Step-by-step explanation:
Angad was thinking of a number. Angad doubles it, then adds 8 to get an answer of 68.4. What was the original number?
Answer:
The answer is 30.2
Step-by-step explanation:
subtract 8. Then divide by 2
Answer: 30.2
Step-by-step explanation: so 68.4 - 8 because Angad added 8 so we have to subtract that. So 60.4 divided by 2 because Angad doubled the number, gets us 30.2.
Hope I could help!
Demetri's parents begin saving for his college funds when he was 10 years old. They invest $5,000 in a CD that earns 1.2% interest compounded annually. What will the balance in the CD be when he turns 18?
Answer:
Yes, the CD earns over $500 in interest over 8 years.
Step-by-step explanation:
So basically the money was invested for when he was 10 to 18 so 8 years and when there is compound interest the value always increase so the working out u would do is times the original amount by 1.012 to the power of 8 And it should be more that the amount u need. I hope that makes sense. ¯\_(ツ)_/¯
So far, Keith has burned 604.3 calories. He wants to burn a total of 700 calories. How many more calories must Keith burn?
Plz help me
Explation for both questions and tell what conceputal key you use.
Giving 35 points
1. Lizzy opened an ice cream parlor in her neighborhood selling homemade ice cream. She has a goal to create 80 new ice cream flavors. If she already created 37 flavors, how many more flavors does she still need to create?
2. A staples truck is delivering notebooks to CMS. There are 212 boxes with 198 notebooks in each box. How many total notebooks are there?
Answer: the first one is 43 because 80- 37 = 43
the second one is 41,976 because 212 times 198= 41,976
Step-by-step explanation:
PLEASE HELP WITH C---(40 pts) WILL GIVE BRAINLIEST FOR REAL ANSWERS
Answer:
all r same lol
Step-by-step explanation:
please mark me as brainliest
Answer:
A is 2
B is 1/2
C, I'm not really sure what it means
Step-by-step explanation:
Hope this helps! Please mark me brainliest
N
Each wheel on the train has a diameter of 1.8 m.
Work out the number of complete turns each wheel makes in travelling the 6.5 km..
Answer: 1150 turns
Step-by-step explanation: radius of wheel is 0,9 m
In one turn wheel moves 2·pi·0,9 m = 5,652 m
You divide 6500 m : 6,652 m = 1150
The number of complete turns each wheel makes in travelling the 6.5 km is 1150 turns
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
We know that circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
WE have been given the radius of wheel is 0.9 m
In one turn wheel moves 2πr
= 2 x π x 0.9 m
= 5.652 m
Now we have to divide 6500 m : 6.652 m
= 1150
Learn more about circumference here;
brainly.com/question/12512221
#SPJ2
2
Find the area of the figure shown below and choose the appropriate result.
A 96mm^2
B 102 mm^2
C 90 mm^2
D 140 mm^2
Answer:
It should be: B.
Step-by-step explanation:
If its not correct then its probably C then
Answer:
The answer should be B
Step-by-step explanation:
What is the solution or solutions to the equation x + 5 = 5x ?
Answer:
x = 5/4
Step-by-step explanation:
The Perimeter of the parking lot parking lot is 366 m.
If the length of the parking lot is 97 m. What is the width?
Answer:
The width is 86m. Just subtract 97*2 from 366 and then divide the answer by 2.
Brenda likes to swim when she is at her cottage. She swam 12 m north from her dock, and then 60 m east. How far will she have to swim if she wants to go directly back to the dock?
Answer:
72 m
Step-by-step explanation:
If Brenda is going 12m north and 60m east, that's a total of 72m because 12+60 = 72, so if Brenda wants to come directly back to the dock she will just have to follow her footsteps back 72m.
You are driving toward a tower. At your first stop, the angle of elevation to the top of the tower is 28 degrees. Then you drive 550 ft. toward the tower and stop again. Now the angle of elevation is 40 degrees. To the nearest foot, what is the height of the tower?
Please answer!! I've been stuck on this for an hour
Answer:
I don't really understand the question
how many toes do i have? giving brainiest if right!
can you help me answer this problem?
Answer:
1/4
Step-by-step explanation:
here's your solution
=> the multiple of 3 is (3,6)
=> favourable outcome = 2
=> total outcome = 8
=> probability = 2/8
=> 1/4
hope it helps