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
Write an equation in slope intercept form from two points (5,5) and (3,7)
Answer:
y = -x + 10
Step-by-step explanation:
find the slope (-1) and y intercept (10)
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer:
Step-by-step explanation:
(5,5) and (3,7)
so
(5-7)/(5-3)= -2/2=-1
so the slope is -1
y=-1x+10
factorize 4x^3 -8x^2- 12x
Answer:
Step-by-step explanation:
4x³ - 8x² - 12x = 4x ( x² - 2x - 3)
= 4x (x² + x - 3x - 3*1)
= 4x [ x(x + 1) - 3(x +1)]
= 4x [ (x +1) (x - 3)]
= 4x (x + 1)(x-3)
Answer:4x^3 -8x^2- 12x
Taking common4 x
4X(x²-2x-3)
Doing middle term factorization
4x(x²-3x+x-3)
4x(x(x-3)+1(x-3))
4x(x-3)(x+1) is your answer
Step-by-step explanation:
Kameron grandmother gives him 20 dollors for his birthday to put into his saving account , and he also saves his weekly allowance of 10 dollors
Answer:
y=10w+20
or 20+10w=y
Step-by-step explanation:
just a mixture of those
When rounding to the nearest hundred thousand what is the greatest whole number that rounds to 400,000
Answer:
449,999
Step-by-step explanation:
Given that:
Greatest whole number that round to 400,000 when rounding to the nearest hundred thousand :
To obtain the greatest whole number which rounds to 400,000, the whole number is greater Tha 400,000 and its 10 thousand digit in the number or value to be rounded must be lesser than 5.
The value would be 449,999 ; here z the 10 thousand value which is 4 is rounded to zero since it is not up to 5 and the subsequent digits also rounded to 0 to give ;
400,000 (nearest hundred thousand).
The sides of a rectangle are in the ratio of 6:5. The perimeter is
132cm. What is the length of the longest side?
Help please.
I need help with this question....
Solve the variable for 2e=6.8
Answer:
e=3.4
Step-by-step explanation:
Your equation is 2e=6.8
All you have to do is divide both sides by 2 and get that:
e=3.4
The solution for 2e=6.8 is 3.4
What is equation?Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given equation is: 2e=6.8
Divide both by 2, to make the coefficient of e 1.
2e/2=6.8/2
e=3.4
Hence, the solution of the equation is 3.4.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
HELP PLEASE HELP PLS HELP THIS WORK NEED TO BE FINISH HELP ME WITH IT WILL BE REWARD BRAINLIEST AND WILL GIVE 100 PIONT FOR FREE!
Answer:
The simplified expression is 498,400÷7. The value is 71,200.
Step-by-step explanation:
712×25×14×2= 498,400.
498,400÷7 becomes our expression. And that answer is 71,200. I hope this helps
Answer:
Step-by-step explanation:
substitute
a + 2p = 4
x − 2y = 6
find the slope and y-intercepts of the line below & write the equation of the line.
Answer:
m=3 b=-2 y=3x-2
Step-by-step explanation:
The slope/m is 3 because the rise is 3 and the run is 1. Rise over run and you get 3/1 also known as 3.
The y-intercept point/b is -2 because you can look at the graph and the point where the line touches the y-axis is the y-intercept/b
The equation is written in the format of y=mx+b so y and then m is the slope then add x after the slope, then write the y intercept.
Gracie and Mark are having a
contest to see who can sell the most
cupcakes. For every 3 that Mark
sold, Gracie sold 4. If Gracie sold 4
more than Mark, how many total
cupcakes were sold?
Answer:
Mark sold 12 cupcakes, meaning Gracie sold 16.
4 threes, and 4 fours.
Mark Gracie
O O O O O O O
O O O O O O O
O O O O O O O
O O O O O O O
Answer:
Step-by-step explanation:
m/g=3/4
m=3g/4, now we can express m in terms of g
g=4+m, using m found above in this equation gives you
g=4+(3g)/4
4g=16+3g
g=16, since m=3g/4
m=3(16)/4
m=48/4
m=12
So total cupcakes sold is 12+16=38.
38 cupcakes were sold.
PLS HELP 100 POINTS ILL EVEN SEND U 50 AFTER IF U HELP
USE THE PIC
10.) Huntington’s disease is an autosomal dominant genetic disorder causing a breakdown of the brain. Write in the genotypes on the line next to / below each individual.
Answer:
1.dd
2.Dd
3.dd
4.Dd
5.dd
Explanation:
It's genetics
D d
d D d
d D d
find the value for m
-10 + 59 = 5m = 7 + 3m
-10+59=5m=7+3m
49=5m=7+3m
49-7=5m-3m
m=42/2
m=21
Answer:
21
Step-by-step explanation:
-10+59 = 5m = 7 + 3m
49 = 5m = 7 + 3m
49 - 7 = 5m - 3m
42 = 2m
42/2 = m
m= 21
solve the problem:
x + 4 = 10
Answer: 6
Step-by-step explanation: The way to solve this problme is to move backwards. Instead of adding you would subtract the number after the equal sign and whatever number before. It's kind of like a fact family!
10-4=6 so the answer is 6.
I hope this help you out, have an awesome day! :)
4
The formula for the volume of a sphere is
V= 3 #rº. What is the formula solved for r?
Answer:
B. r = 3√(3V - 4π)
Step-by-step explanation:
volume of a sphere,V = 4/3πr³
Solve for r
V = 4/3πr³
V - 4/3π = r³
r³ = V - 4π/3
Cross product
r³ = V*3 - 4π
r³ = 3V - 4π
Find the cube root of both sides
3√r³ = 3√(3V - 4π)
r = 3√(3V - 4π)
Jason bought 3 shirts for $24.99 each . How much did he spend on shirts
Answer:
he spent $8.33 on each shirt
Write and solve an equation to answer the question. 14 is what percent of 70?
Answer:
20%
Step-by-step explanation:
An equation is 14=x/100*70 or 14=(x%)*70, either one works
solve for x:
14=x/100*7014/70=x/100 (Divide each side by 70)1/5=x/100 (Simplify 14/70)100/5=x (Multiply each side by 100 to isolate x)x=20 (Simplify 100/5)20% (Rewrite as a percent)hope this helps!!
what's the value of x
if
[tex] {x}^{3} = 343[/tex]
Answer:
The value of x is 7.
Step-by-step explanation:
Cube root both sides to isolate x. X euqal 7
What is the area of a rectangle with vertices (2, 3), (9, 3), (9, Negative 2), and (2, Negative 2)?
---square units
Answer:
35 units
Step-by-step explanation:
edg
There are 568 kiloliters of soup in a pot. How many liters of liquid did the chef use for this recipe?
.568 L
5.68 L
568,000 L
5,680 L
HELLLP
Answer:
568,000L
Step-by-step explanation:
1 Kiloliter = 1,000 Liters
568 x 1,000 = 568,000
Car survey in a survey of 1200 people who owned a certain type of car,600 said they would buy that type of car again.What percent of people surveyed were satisfied with the car?
Answer:
50 percent
Step-by-step explanation:
Total number of people in this car survey = 1200
Total number of people who they would still buy same car type = 600 (these are the satisfied people)
The percentage = 600/1200 x 100
= 0.5 x 100
= 50 percent
So the percentage of satisfied people who would buy this type of car again is 50%
Help plz................ Easy.......
Step-by-step explanation:
120° because opposite angles of parm are equal
Help me with this!! Will mark Brainliest!!!
Answer:NO!!
Step-by-step explanation:
RS distance of 2 while TU distance of 1
UGRENT PLEASE RESPOND QUICKLY
10.
Find the slope of the line.
A. 3
B. [tex]-\frac{1}{3}[/tex]
C. –3
D. [tex]\frac{1}{3}[/tex]
Answer:
The slope of the line 3.
Step-by-step explanation:
The line is going through 3. Although it is not -3, because if the line is sloping upward from left to right, then the slope is positive (+). If the line is sloping downward from left to right, the slope is negative (-).
Answer: The answer is either letter A or letter D
0
Hint 1: Find the direction cosines of AB and BC. Then take their dot product. This will give the cosine of the angle between AB and BC.
Hint 2: The Direction Cosines of PQ, P(x1,y1,z1) and Q(x2,y2,z2), are (±x2−x1(x2−x1)2+(y2−y1)2+(z2−z1)2√,±y2−y1(x2−x1)2+(y2−y1)2+(z2−z1)2√,±z2−z1(x2−x1)2+(y2−y1)2+(z2−z1)2√)
Edit: The Dot Product works iff the lines intersect.
B is the intersect point , doesn't matter if it's in 2D or 3D – Ali Apr 28 '18 at 5:52
0
Lines in dimension three do not have to intersect. We find their direction vectors to see if they are parallel.
Note that
AB→=<x2−x1,y2−y1,z2−z1>
and
BC→=<x3−x2,y3−y2,z3−z2>
These vectors are the direction vectors are your lines.
The dot product
AB→.BC→
along with the norms of these vectors determine the angle between the lines if they intersect at all.
cosθ=AB→.BC→||AB||.||BC||
Step-by-step explanation: This is for the picture
Center: (0, 0)
Width: 10
Angle: 0 rad
Height: 6.8
Opacity: 1
help!! the measure of the angles of a triangle are shown in the figure below. Solve for x.
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The acute angles in a right triangle are complementary, so we have ...
(7x +5)° +36° = 90°
7x = 49 . . . . . . . . . . . . divide by °, subtract 41
x = 7 . . . . . . . . . . divide by 7
-1/3+1/2 simplified??
Answer:
1/6
Step-by-step explanation:
is there an error in the work and is the answer extraneous? if so why?
Answer:
x = 4
Step-by-step explanation:
log₃[1 + log₃(2ˣ - 7)] = 1
log₃[1 + log₃(2ˣ - 7)] = log₃(3)
1 + log₃(2ˣ - 7) = 3
log₃(2ˣ - 7) = 2
log₃(2ˣ - 7) = log₃(3)²
2ˣ - 7 = 9
2ˣ = 9 + 7
2ˣ = 16
2ˣ = 2⁴
x = 4
By putting x = 4 in the original equation,
log₃[1 + log₃(2⁴ - 7)] = 1
log₃[1 + log₃(16 - 7)] = 1
log₃[1 + log₃(9)] = 1
log₃[1 + log₃(3)²] = 1
log₃[1 + 2] = 1
log₃[3] = 1
1 = 1
Therefore, x = 4 is not the extraneous solution and there is no error in your answer.
NEED HELP ASAP WILL GIVE BRAINLY
Answer:16.76 is your answer hope I helped
Answer:
Answer B. 150.8
HELP PLSSS ILL MARK YOU BRAINLIIEST !!!!!!!!!!
Answer:
5.6
Step-by-step explanation:
What is the expression in repeated multiplication form of (-8)^3 • (-8)^4
Answer:
(-8)x(-8)x(-8)x(-8)x(-8)x(-8)x(-8)
Step-by-step explanation:
the answer isn't 8-2root3 btw
Answer:
1.41226231144
Step-by-step explanation:
Answer:
Step-by-step explanation:
16cos(30)-20sin(60) -8sin(90)
look at the pattern of the numerators Millie, you can remember all of the sin and cos functions at the special angles now. :)
sin(0) = 0 / 2
sin(30) = 1 / 2
sin(45) = [tex]\sqrt{2}[/tex] / 2
sin(60) = [tex]\sqrt{3}[/tex] / 2
sin(90) = [tex]\sqrt{4}[/tex] / 2 aka 1
now the numerators just count up from 90°
cos(90) = 0 / 2
cos(60) = 1 / 2
cos(45) = [tex]\sqrt{2}[/tex] / 2
cos(30) = [tex]\sqrt{3}[/tex] / 2
cos(0) = [tex]\sqrt{4}[/tex] / 2 aka 1
see the pattern.. it's pretty easy to memorize, knowing that :)
now let's use the above to plug into the given equation
16* [tex]\sqrt{3}[/tex] / 2 - 20* [tex]\sqrt{3}[/tex] / 2- 8*[tex]\sqrt{4}[/tex] / 2
8* [tex]\sqrt{3}[/tex] - 10 [tex]\sqrt{3}[/tex] -8
-2*[tex]\sqrt{3}[/tex] - 8
this isn't quite the same answer as you got before.. I feel like it's right