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:
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Answer:
the answer is c
Step-by-step explanation:
There are two complex solutions.
Which of the following is a solution to the system? Show your work.
3x+2y=-3
3x-y=6
Group of answer choices
(-1, 0)
(1, -3)
(2, 0)
LaTeX: (0,-\frac{3}{2})
Answer:
(1, -3) is a solution to the system of equations ⇒ B
Step-by-step explanation:
Let us solve the system of equations
∵ 3x + 2y = -3 ⇒ (1)
∵ 3x - y = 6 ⇒ (2)
→ Subtract equation (2) from equation (1)
∵ (3x - 3x) + (2y - -y) = (-3 - 6)
∴ (0) + (2y + y) = (-9)
∴ 3y = -9
→ Divide both sides by 3 to find y
∴ y = -3
→ Substitute the value of y in equation (2) to find x
∵ 3x - (-3) = 6
∴ 3x + 3 = 6
→ Subtract 3 from both sides
∵ 3x + 3 - 3 = 6 - 3
∴ 3x = 3
→ Divide both sides by 3 to find x
∴ x = 1
To check the answer substitute the values of x any in each equation if the two sides of the equation are equal, then the solution is right
∵ 3x + 2y = -3
∵ 3(1) + 2(-3) = -3
∴ 3 - 6 = -3
∴ -3 = -3
→ The two sides of the equation are equal
∵ 3x - y = 6
∵ 3(1) - (-3) = 6
∴ 3 + 3 = 6
∴ 6 = 6
→ The two sides of the equation are equal
∴ The solution satisfies the two equations
∴ (1, -3) is a solution to the system
Polygon MNP shown on the coordinate planeA dilation centered about the origin will be performed on the polygon with vertices M(- 18, 12) forall(8,10),8(-6,8) and Q(- 8, - 8)
Answer:
N'(4, 5)
Step-by-step explanation:
The correct question is attached.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation.
Dilation is a transformation that changes the size of a figure (i.e. it increases or reduces the size).
If a point A(x, y) is dilated by a factor k, the new point is at A'(kx, ky).
The location of the polygon vertex is at M(-16, 12), N(8, 10), P(-6, 8) and Q(-8, -8).
After dilation, the new location of M is at M'(-8, 6)
M(-16, 12) ⇒ M'(-8, 6)
M(-16, 12) ⇒ M'[1/2(-16), 1/2(12)]
Hence the dilation factor is 1/2. This means that the new vertex is at:
N'(4, 5), P'(-3, 4) and Q'(-4, -4).
Meg is a veterinarian. She found that 10,or 33%,of the dogs she saw this week were boxers. Steve is also a veterinarian. He found that 4 of the 20 he saw this week were boxers. Does each person need to find the part, the whole, or the percent?
A haircut cost $15. I left a 20% tip. How much was the haircut including the tip? PLEASE ANSWER WITH WORK
Answer:
$18
Step-by-step explanation:
15*.2=3
15+3=18
The haircut is $18 with tip included.
Answer:
$18
Step-by-step explanation:
15 haircut tip 20%
15 x .20= 3
15 + 3 = 18
divide the percent by 100 to get it in decimal form.
Simplify 4(-8x + 5) – (-33x – 26)
Answer:
the answer is most likely to be (x+46)
Please help. Line l is parallel to line m. Find the value of x.
Answer:
x = 32
Step-by-step explanation:
2x and 64° are corresponding angles and are congruent, thus
2x = 64 ( divide both sides by 2 )
x = 32
In Beijing in 2008, the Women's 3,000 meter Steeplechase became an Olympic event. What is this distance in kilometers
Answer:
The distance would be 3 kilometers
Step-by-step explanation:
Each kilometer is 1,000 meters. Divide 3,000/1,000= 3
Six lines are drawn in the coordinate plane below.
2
Which line has a negative slope?
Select all that applys
A.PR
B.SR
C.PQ
D.PS
E.QS
F.QR
Answer:
PQ
SR
PR
Step-by-step explanation:
they are all going down while the others rise
The volume of 100 drops of a liquid is 0.1 fluid ounces what is the volume of 10,000 drops
Answer:
0.001 fluid oz.
Step-by-step explanation:
100 : 0.1 = 10,000 = 0.001
Which sets of ordered pairs represent a function? Select all that apply.
A {(3,5), (4, -1), (2, -1), (2, 7), (-3, 6)}
B {(-3, 9), (-2, 4), (-1, 1), (0, 0), (1, 1)}
C {(1, 1), (4, 2), (9, 3), (16, 4), (25, 5)}
D {(9, -3), (4, -2), (1, -1), (0, 0), (1, 1)}
Answer:
C because X values can't be repeated
Step-by-step explanation:
Please help me on this
Answer:
a: -1,-1
b: 2,3
c:6,7
d: 5, 7
Step-by-step explanation:
Answer:
A -1,-1
B 2,3
C 6,7
D 5,-3
Step-by-step explanation:
You have to plug in each plotted point into the formula that was given to you.
Ex - A is plotted point is (-4,-3) so you plug in (-4+3,-3+2) which will give you (-1,-1)
5 divided by 9/10 as a fraction
Answer:
5/1. 9/10 ÷ 5 = 9/50
Step-by-step explanation:
a whole number 5 can be written as 5/1. 9/10 ÷ 5 = 9/50 in fraction form.
hope this helped. Let me know if i was right. Im sorry if I was wrong Im not so good at math.
geo quiz!! don’t understand at all
purchased a DVD player on sale. The original selling price was $. The sale price was $.
what are the prices?
A popumation of bacteria quadruples (x4) every hour, the initial population is 30.
A.) Find the population at the end of seven hours.
B.) After how many hours will the population equal 7,864,320?
Find the value of x and y
Answer:
x=45 degrees
y=45 degrees
Step-by-step explanation:
Answer: y = 50; x = 34
ABCD is a quadrilateral inscribed in the circle
=> ∠ABD = ∠ACD
⇔ x = 34°
and ∠ADB = ∠ACB
we also have:
∠DCE + ∠ DCB = 180°
⇔ 96° + x + ∠ACB = 180°
⇔ ∠ACB = 180 - 96 - x = 180 - 96 - 34 = 50
because ∠ADB = ∠ACB => y = 50°
Step-by-step explanation:
What is 4and2/14 as an improper fraction in lowest terms
Answer: 58 14ths
Step-by-step explanation:
multiply 14 by 4 to get 56 14ths, then add the 2
Answer:
58/14
Step-by-step explanation:
4 and 2/14= 4*4*4*4 = 56 + 2 = 58/14
THIS IS EASY!! PLS HELP ME! ASAP PLS
Eliza claims that the two squares are congruent. Which statement could be used to prove Eliza's claim?
A) Any two squares are congruent since all squares have angles of 90 degrees
B) The two squares are congruent since a translation carries one square onto the other.
C) Any two squares are congruent since all four sides of any square are congruent.
D) The two squares are congruent since a rotation about the origin carries one square onto the other.
Answer:
A
Step-by-step explanation:
I Hope this helps you out!
Eliza claims that the two squares are congruent. The statement that could be used to prove Eliza's claim can be found in Option A.
Any two squares are congruent since all squares have angles of 90 degrees.
A figure is said to be congruent if they have similar angles and the position of each shape corresponds to each other.
From the given figure attached to the question, we can see that the two shapes in the figure are squares, and they are located at 2 units each from the origin. The angles of each shape are 90° to the horizontal line and they are perpendicular to each other.
The two squares may not be congruent since not only translation carries one square onto the other, from the figure in the question, it may be a reflection and not only translation.
Also, only the sides of a shape cannot be used as a determining factor to determine if a shape is congruent or not.
Therefore, we can conclude that any two squares are congruent since all squares have angles of 90 degrees.
Learn more about congruent angles here:
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Pls help ;-;
Which number line shows all the values of x that make the inequality
-3x + 1 < 7 true?
Answer:
C
Step-by-step explanation:
A closed circle means inclusive, and -2 is included in values that would make the equation true. Then you just have to test another number greater than and less than -2 to see which way the arrow should point.
-3(-3) + 1 < 7
9 + 1 < 7
10 < 7 FALSE
-3(0) + 1 < 7
1 < 7 TRUE
All values (including -2) will make this equation true
Question:
Which number line shows all the values of x that make the inequality
-2x - 7 ≥ 13 true?
Determine if each sequence is an arithmetic sequence. If yes, find the common difference.
1. 10,12,15,19,…
2. If there is, what is the common difference?
Answer: Yes, add one more each time you add
Step-by-step explanation:
Need these proofs solved ASAP 45 pts I will give brainliest
Answer:
Step-by-step explanation:
im not sure buddy
If AABC = ADFE determine the values of x and y.
B
32.1
99°
38.4
45°
36
A
54
F
(8y -- 5)º
2y + x
D
E
[tex]8y - 5 = 99 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 8y = 99 + 5 \\ \: \: \: \: \: \: \: \: \: \: 8y = 104 \\ \: \: \: \: \: \: \: \: \: \: \: \: y= \frac{104}{8} \\ \: \: \: \ \: \: \: y = 13[/tex]
[tex] \: \: \: \: \: \: 2y + x = 38.4 \\ 2(13) + x = 38.4 \\ \: \: \: \: \: \: 26 + x = 38.4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 38.4 - 26 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 12.4[/tex]
Solve the system by substitution.
-3x-4y=11
y=2x
Answer:
x = -1, y = -2
Step-by-step explanation:
-3x-4y=11
y=2x
Plug in 2x for y:
-3x-4(2x)=11
-3x-8x = 11
-11x = 11
x =-1
Plug in x in y = 2x
y = 2(-1)
y = -2
Answer:(-1,-2)
Step-by-step explanation:
7.2x10⁷ = (2x10⁴) (3.6x10^n) what is the value of N
Answer:
The N value represents a standard value of energy required to penetrate 30 cm into soil by percussion drilling. It is standardized as the energy of a falling hammer from a height of 0,76 m.
Step-by-step explanation:
The kindergarten section of Lost Valley School has 12 classrooms. If each classroom
has 15 students how many total kindergarten students are at Lost Valley School?
Answer:
180
Step-by-step explanation:
12x15=180 simple
Trevor read a total of 36 books over 9 months. If Trevor has read 52 books so far, how many months has he been with his book club? Assume the relationship is directly proportional.
? months
I HAVE MORE QUESTIONS
Complete the explicit formula for the sequence.
42, 47, 52, 57, 62, ...
Answer:
Step-by-step explanation:
67,72..
A linear regression equation is computed for a sample of n = 13 pairs of X and Y scores. For the analysis of regression testing the significance of the equation, what are the df values for the F-ratio?
Answer:
The degrees of freedom are
ν₁ = n₁ -1 = 13 -1 = 12
ν₂= n₂-1 = 13 -1 =12
Step-by-step explanation:
Step(i):-
Given size 'n' = 13
size of sample of X score n₁ = 13
size of sample of Y score n₂ = 13
The degrees of freedom are
ν₁ = n₁ -1 = 13 -1 = 12
ν₂= n₂-1 = 13 -1 =12
Test statistic formula
[tex]F = \frac{S_{1} ^{2} }{S_{2} ^{2} } if S_{1} ^{2} > S_{2} ^{2}[/tex]
PLEASEEE HELP ILL GIVE BRAINLIEST btw there are 2 attachments so u could see all the answer choices
Answer:
1) C
Step-by-step explanation:
Step 1)
First we have to plot ↓
2x ≥ y + 2
And that looks like Image 1
Step 2)
Second we have to plot ↓
2x - 5y ≤ 10
and that looks like Image 2
Jordan has traveled 255 miles out of 340 miles on a trip. What percent of the total distance has he traveled?
A. 73%
B. 82%
C.75%
D. 70%
Answer:
75%
Step-by-step explanation:
Just do long division and get c.75%
Pls mark brainliest
Answer:
75%
Step-by-step explanation:
I swear it is right.