A quadratic equation is an equation that can be placed in the form a·x² + b·x + c = 0
The option that gives the true statement about the quadratic equation is option C.
C. There are two complex solutions
Reason:
The given quadratic equation can be presented as follows;
y = -2·x² + 9·x - 12
The factored form of the quadratic equation is presented as follows;
The radical of the given quadratic equation is therefore;
[tex]\sqrt{9^2 - 4 \times (-2) \times (-12)} = \sqrt{81 - 96} = \sqrt{-15}[/tex], which gives the following solutions;
[tex]x = \dfrac{(-9\pm\sqrt{-15} )}{2 \times (-2)} = \dfrac{-9 \pm \sqrt{-15} }{-4}[/tex]
[tex]x = \dfrac{-9 +\sqrt{-15} }{-4} \ or \ x = \dfrac{-9 -\sqrt{-15} }{-4}[/tex]
Therefore there are two complex solutions;
Learn more about quadratic equations here:
https://brainly.com/question/12402430
Answer:
the answer is c
Step-by-step explanation:
There are two complex solutions.
Determine the simple interest paid to the nearest cent for each loan, interest rate, and time. $2,650, 3.65%, 2 1/2 years
9514 1404 393
Answer:
$241.81
Step-by-step explanation:
The interest is given by the formula ...
I = Prt
Filling in the values and doing the arithmetic, we have ...
I = $2650×0.0365×2.5
I = $241.81
The simple interest paid is $241.81.
33 is 90% of what number? Round to the tenths place.
Answer:
36.7
Step-by-step explanation:
Since 33 is 90% of a number, you can divide 33 by 9 to get 3 2/3. This 3 2/3 is 10% of the number, so multiply 3 2/3 by 10 to get 36 2/3. 36 2/3 rounded to the nearest tenth is 36.7, so there's your answer. Hope it helps!
6x+4y=42 -3x+3y=-6 by elimination
Answer:
x=5, y=2
Step-by-step explanation:
To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-[tex]\frac{2}{3}[/tex]y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-[tex]\frac{2}{3}[/tex]y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-[tex]\frac{2}{3}[/tex](3) since y=3, and we'll get x=7-[tex]\frac{6}{3}[/tex], or x=7-2, or x=5.
x=5
y=2
Answer: (5, 3)
Step-by-step explanation:
Solve by Addition/Elimination
6x + 4y = 42 −3x + 3y = −6
Multiply each equation by the value that makes the coefficients of x opposite.
6x + 4y = 42
(2) ⋅ (−3x + 3y) = (2) (−6)
Simplify (2) ⋅ (−3x + 3y).
6x + 4y = 42
−6x + 6y = (2) (−6)
Multiply 2 by −6. 6x + 4y = 42
−6x + 6y = −12
Add the two equations together to e liminate x from the system.
6x + 4y = 42
±6x + 6y = −12
1 0y= 30
Divide each term in 10y = 30 by 10.
10y = 30
10 10
Cancel the common factor of 10.
y = 30/10
Divide 30 by 10.
y = 3
Substitute the value found for y into one of the original equations, then solve for x.
Substitute the value found for y into one of the original equations to solve for x. 6x + 4 (3) = 42
Multiply 4 by 3.
6x + 12 = 42
Move all terms not containing x to the right side of the equation.
6x = 30
Divide each term by 6 and simplify.
x = 5
The solution to the independent system of equations can be represented as a point.
(5, 3)
The result can be shown in multiple forms.
Point Form:
(5, 3)
Equation Form:
x = 5, y = 3
What is the value of g?
−5+7g=3g+9
A.) g=−1
B.) g = 1
C.) g=125
D.) g=312
Answer:
The answer is D
Step-by-step explanation:
Give the other person brainlest
Answer:
d
Step-by-step explanation:
i took the quiz
I need help plzzzzzzzzz
Michael has finished 25% of an art project that has taken him a total of 4 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
Answer:
16 hours of total work time, 12 hours of work not including the original 4 hours
Step-by-step explanation:
25 percent is 1/4
To get to a whole, you need to do 4*4.
That is how many total hours of work time, -4 (the pre-existing 4) you get 12 of added time on top of the 4
please help :,( .....
Answer:
there adding one to the thing each time it was at first 10 then 11 then 12 then 13 so there adding one each time so next time its 14
Step-by-step explanation:
How would you find x?
Answer:
A
Step-by-step explanation:
x=7
A box of dried fruit has 54 calories in 3 servings. How many calories are there per serving?
Answer:
18 per serving
Step-by-step explanation:
54/3=18 just divide to find the unit rate
Please help me with this! I will appreciate the help :)
Answer:
D
Step-by-step explanation:
I'm pretty sure it's D
Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation to enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution. The solution to the system of equations is (, ).
Answer:
1/2,5
Step-by-step explanation:
Answer:
1/2 5
Step-by-step explanation:
just got it right on edge
help! find domains! algebra!
find domains of
2(x-2) +4
2*-(x-2) + 4
i will give brainliest to a correct answer with explaination!
Answer:
The domain of 2(x-2)+4 is all real numbers, as well as for 2-(x-2)+4
Step-by-step explanation:
Find the equation of the axis of symmetry of the following parabola algebraically.
y=-3x^2-6
y=−3x
2
−6
5s - (-6s – 10) < 5s + 9 + 5s
Answer:
see in picture
...........
Use the table that shows popular sports car
colors in North America.
a. How many times more respondents chose silver than red?
Round to the nearest tenth if necessary.
the answer is 2.2 just divide
how do i solve this problem?
Answer:
You can use a^2+b^2=c^2;
Step-by-step explanation:
42^2+78^2=(6x-1+10x+5)^2
Answer:
3.5
Step-by-step explanation:
Triangles always equal to 180
42 + 78 + 16x + 4 = 180
124 + 16x = 180
56 = 16x
3.5 = x
On a test that has a normal distribution, a score of 41 falls three standard deviations below the mean, and a score of 73 falls one standard deviation above the mean. Determine the mean of this test.
Answer:
The mean of the test is 65
Step-by-step explanation:
Let the mean be x and SD be y
3 SD BELOW the mean means that we are taking away 3 SD FROM the mean
Mathematically, we have that as;
x - 3y = 41 •••••(i)
73 is 1 SD above mean
Mathematically;
x + y = 73 ••••••••(ii)
So let us solve both equations simultaneously
Simply multiply equation ii by 3 then add to i
x - 3y = 41
3x + 3y =219
4x = 41 + 219
4x = 260
x = 260/4
x = 65
Answer:
its actually 35
Step-by-step explanation:
Simplify the expression 3.8 - 5.1n - 4n + 5
Answer:
8.8-9.1n
Step-by-step explanation:
Add 3.8+5 together to get 8.8, then add -5.1n and -4n to get -9.1n.
An earthquake wave travels through 55 km of rock in 25 seconds . Which equation represents the relationship between t, the number of seconds, and d, the total distance the wave travels?
Answer:
2.2 m/s
Step-by-step explanation:
Step one
Given data
An earthquake wave travels through 55 km
hence distance = 55 km
time taken = 25 seconds
Required
the expression relating t and d
Step two:
we know that velocity is
Speed= distance/time
speed= 55/25
Speed= 2.2 m/s
Whoever can answer the MOST with work show will ne marked brainliest.
Answer:
See the picture below
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST
ignore the one i marked
Answer:
im almost postive the one you marked is correct
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
When you elevate by 3 you get:
[tex]\sqrt[3]{g}^{3} = g[/tex]
Hope this helps, have a good day
8x+5=61 immma workk out fo yall
-5 -5
8x =56
Answer:
x = 7
Step-by-step explanation:
8x + 5 = 61
8x = 56
x = 7
The angle of elevation of a cloud from a point 60m above a lake is 30" and the angle of
depression of the reflection of the cloud in the lake is 60° find the height of the cloud from
the surface of the lake.
(THIS QUESTION IS FROM INDIA PRE BOARD EXAM)
Answer:
80 m
Step-by-step explanation:
Answer
answer
Answer
what do you divide (-2/3) with to get 3/10
Answer:
the equation forms like this
-2/3 divide x =3/10
Solve for
x
by cross multiplying.
Exact Form:
x=− 20/9
Decimal Form:
x=−2.¯2
Mixed Number Form:
x=−2 2/9
whats 3(x + 2) = 21?
show work please !!
Answer:
x=5
Step-by-step explanation:
[tex]3(x+2)=21[/tex]
[tex]3x+6=21[/tex]
[tex]3x+6-6=21-6\\\\3x=15\\\\\frac{3x}{3} = \frac{15}{3} \\\\x=5[/tex]
Answer:
x = 5
Step-by-step explanation:
You first have to multiply 3 by x and 2, and you would get 3x and 6. 3(x + 2)=3x +6
Then you have to move the 6 to the other side and it will become negative. 3x= -6 +21
Then you subtract 21-6 to get 15. 3x = 15
Then you are left with 3x = 15.
Divide 3 from both sides and you get x =5.
4. You have $40 in your wallet, but you do not want to spend all of it. You want to have at least some money left. You find a shirt for $5 and buy it. What is the amount of money (m) you have left to spend?
OPTIONS (MULTIPLE CHOICES) ARE IN THE COMMENTS
Answer:
B
Step-by-step explanation:
Can you help with 3,5,6 please Also can you explain how you did 5 please I dont understand well
Answer:
3) 46 5) 19.5 6) 31.2
Step-by-step explanation:
all the "y" numbers are the product of the "x" numbers being added or subtracted by something. In 5, y=x-1.5
Find h. (system of equations)
Step-by-step explanation:
xtan45° = (x+600)tan30°
x(tan45°-tan30°) = 600tan30°
x = 819.62m.
Therefore h = xtan45° = x = 819.62m.
If AX) = x2 + 2x + 3, what is the average rate of change of AX) over the interval (-4, 6]? OA 51 B. 40 OC. 31 OD 20 OE 4
Answer:
E
Step-by-step explanation:
The average rate of change of A(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 4, 6 ] , then
f(b) = f(6) = 6² + 2(6) + 3 = 36 + 12 + 3 = 51
f(a) = f(- 4) = (- 4)² + 2(- 4) + 3 = 16 - 8 + 3 = 11 , thus
average rate of change = [tex]\frac{51-11}{6-(-4)}[/tex] = [tex]\frac{40}{10}[/tex] = 4 → E
plzzz help answer tyhese
The slope is m=2 in the first picture. Can be done by rise/run.
The second graph has an undefined slope. Using rise/run would get the run value = 0 and that'd make the slope undefined because the denominator cannot be 0.
