The statement that is true about the quadratic equation is (b) There are two complex solutions.
Identifying the statement that is true about the quadratic equationFrom the question, we have the following parameters that can be used in our computation:
y = 12 – 11x + 7
Express properly
So, we have
y = 12x² – 11x + 7
Next, we calculate the discriminant using
d = b² - 4ac
Where
a = 12
b = -11
c = 7
Substitute the known values in the above equation, so, we have the following representation
d = (-11)² - 4 * 12 * 7
Evaluate
d = -215
This value is less than 0
This means that it has complex solutions
Read more about quadratic functions at
https://brainly.com/question/25841119
#SPJ1
Megan has a piece of fabric which is a right triangular shape. The length of leg 1 is 4 m. The length of the other leg is twice the length of leg 1. What would be the length of the third side of the fabric?
8.94 m
7.21 m
6.93 m
4.47 m
Answer:
8.94 m
Step-by-step explanation:
Use the Pythagorean Theorum - [tex]a^2 + b^2 = c^2[/tex]. Use leg 1 as a, leg 2 as b, and the third side as c.
We know leg 1 is 4, and that leg 2 is twice as long as leg 1...
[tex](4)^2 + (4*2)^2 = c^2[/tex]
Now, we use the Order of Operations to find [tex]c^2[/tex]...
[tex]4^2+8^2=c^2\\16+64=c^2\\80=c^2[/tex]
Now, we find the square root of [tex]c^2[/tex] to find c...
[tex]\sqrt{80} =8.94[/tex]
So, the length of the third side is 8.94 m.
In elementary school, we learned about opposite operations such as addition and
subtraction, and multiplication and division. In both of these cases, one operation
"undoes" the other.
In this course, we'll begin to explore "opposite" function types. For example, think about a
quadratic function and its key features. What key features do you think its opposite
function will have? Why?
B
Ithi
Answer:
I would say the opposite function would either be a linear function, or have all the terms on one side multiplied by -1
The main features of the opposite function of the quadratic equation are; Reflection and Symmetrical
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are Given a quadratic function and its key features
To Determine: what key features its opposite function will have
The opposite function or inverse functions are reflections of each other over the straight line y = x.
We will find the inverse by switching x and y in the equation as;
f(x) = x² + 5
The inverse would be
x = √f(x) - 5
Once graph those two functions, that will see that they're symetrical that has y=x line by its middle line.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
The product of two integers is – 729 one of them is 27 find the other.
please.......help......me......!!!
Answer:
-27
Step-by-step explanation:
-729/27 = -27
hope it helps :)
please mark brainliest!!!
{(2,1), (4,2) (6,3) (8,4)} is what type of relation?
a. many-to-many
b. one-to-many
c. many-to-one
d. one-to-one
The given relation {(2,1), (4,2) (6,3) (8,4)} is one to many relation.
The other solution for this problem is given below.
The pattern is the sum of the two numbers plus the previous sum, i.e.
12 = 2+5 +(5)
21 = 3+6+ (12)
40 = 8+11 +21
These type of questions are part of reasoning and comes in random competitive exams which have multiple choice questions and therefore you have more than you want.
First , you need to multiply both numbers and then add the first number.
Therefore, 1+4= 1x4+1=5
2+5=2×5+2=12
3+6=3×6+3=21
What is the many to one relation?
A many-to-one relationship is where one entity (typically a column or set of columns) contains values that refer to another entity (a column or set of columns) that has unique values.
Hence,8+11=8×11+8=96
The other solution for this problem is given below.
The Solution for this is
1+4=5
1(4+1)=1(5)=5
2+5=12
2(5+1)=2(6)=12
3+6=21
3(6+1)=3(7)=21
Therefore we get,
8+11=8(11+1)=8(12)=96.
Therefore the given relation is any one to many relation.
To learn more about the relation visit:
https://brainly.com/question/1579288
What is the equation of the line that passes through (0, 3) and (7, 0)?
Answer:
y=-3/7x+3
Step-by-step explanation:
Can someone help me with this math homework please!
Answer:
-2,4.39,-32
Step-by-step explanation:
1. 0
2.4.39
3. -32
Here is your answer
Can you answer this math homework? Please!
Answer:
y + 2.3 = 0.45x
y = 0.45x - 2.3
-2y = 4.2x - 7.8
-2(0.45x - 2.3) = 4.2x - 7.8
-0.90x + 4.6 = 4.2x - 7.8
-0.90x - 4.2x = -7.8 - 4.6
-5.1x = - 12.4
x = -12.4 / -5.1
x = 2.4
y + 2.3 = 0.45x
y = 0.45(2.4) - 2.3
y = 1.08 - 2.3
y = -1.2
solution is : (2.4, - 1.2)
Step-by-step explanation:
Please help me answer this question.
Answer:
total candy = 54 bags
y=17
x=37
Step-by-step explanation:
5x + 4y = 253
x-y = 20
x = 20+y
5(20+y) + 4y = 253
100 + 9y = 253
9y = 153
y=17
x=37
what is approximately unit price for 1 g of organic green seedless grapes if it costs 6.49 for 400g?
Answer:
according to my equation it is 61.6
Complete the missing parts of the
table for the following function. (picture) please answer all asap
Answer:
x=-1 y = 1/3
x = 1 y = 3
x = 3 y = 27
Step-by-step explanation:
y = 3^x
Let x = -1
y = 3^-1 = 1/3^1 = 1/3
Let x = 1
y = 3^1 = 3
Let x = 3
y = 3^3 = 27
the diagram shows a prism work out the volume???
Answer:
Volume is equal to
L×W×H
=(10×9×7)cm
=90×7
=630
The volume of the prism is 980cm3.
We are given that;
The dimensions= 4*7*9*2*10cm
Now,
A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The volume of a rectangular prism=Length X Width X Height
Volume of upper prism;
=5*4*40
=800cm3
Volume of lower prism;
=2*9*10
=180cm3
Total volume= upper volume + lower volume
=980cm3
Therefore, by the rectangular prism the answer will be 980cm3.
Learn more about a rectangular prism;
https://brainly.com/question/21308574
#SPJ2
How do you solve this problem?
9514 1404 393
Answer:
-19.2
Step-by-step explanation:
Fill in the given values and do the arithmetic.
[tex]\displaystyle x\ \blacksquare\ y=\frac{x}{y}-xy\\\\4\ \blacksquare\ 5=\frac{4}{5}-4\cdot5=0.8-20\\\\\boxed{4\ \blacksquare\ 5=-19.2}[/tex]
What is the quotient in simplest form?
3/4 divided by 5/16
ANSWE QUICK PLS
Answer:
2 2/5
Step-by-step explanation:
3/4 divided by 5/16 = 12/5
12 goes into 5 2 times making
2 2/5
Answer:
2 2/5
Step-by-step explanation:
3/4 ÷ 5/16 =
3/4 · 16/5 =
2 2/5
3/4 divided by 5/16 is equal to 2 2/5.
plz help me
to do this question
Answer:
Angle k measures 60 degrees!!!
the polygons in each pair are similar. find the missing side length.
Given:
The polygon in the given figure are similar.
To find:
The missing side length.
Solution:
We know that the corresponding sides of similar figures are proportional.
The given polygons are similar, so the their corresponding sides are proportional.
[tex]\dfrac{x}{15}=\dfrac{32}{40}=\dfrac{32}{40}[/tex]
So, the missing values in the equation of proportion are 15, 40, 32 respectively.
On solving the above equation, we get
[tex]\dfrac{x}{15}=\dfrac{4}{5}=\dfrac{4}{5}[/tex]
[tex]\dfrac{x}{15}=\dfrac{4}{5}[/tex]
[tex]x=\dfrac{4}{5}\times 15[/tex]
[tex]x=12[/tex]
Therefore, the value of x is 12.
If you translate ABC 5 units to the right and 2 units down, what will be the location of A’?
Simplify the expression -4^2(3x - 7)
Answer:
−48x+112
Step-by-step explanation:
evatulate: −16 (3−7)
-48+112
What is the graph of f SOMEONE help me please
Answer:
f(x) = 1/2x + 6
Step-by-step explanation:
So before we even look at the first given formula, let's use the second formula: f(x) = -5.
Plug this formula into the x:
0 <= -5 <= 7
Is this true? Is -5 greater than or equal to 0 and less than or equal to 7?
No, this is false.
So the formula, f(x) = -5, is not the graph of f.
That only leaves one possible option!
Find the volume of this cylinder. Use 3 for .
10 in
V = r2h
11 in
V [?]in
Answer:
825 in^3
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h where r is the radius and h is the height
We are given the diameter of 10
The radius is 1/2 of the diameter of 1/2 (10) = 5
V = (3) * (5)^2 * 11
V = 3( 25)*11
= 825 in^3
Answer: 825 in³
Step-by-step explanation:
Volume = πr²h, where:
π = 3r = 10/2 = 5h = 11Therefore, the volume of this cylinder can be calculated as:
3 · 5² · 11 = 3 · 25 · 11 = 75 · 11 = 825 in³
Find the mean and the median of this data set: 8, 7, 7, 5, 41, 7, 6, 3.
Answer:
Mean = 10.5
Median = 7
Step-by-step explanation:
Mean:
8 + 7 + 7 + 5 + 41 + 7 + 6 + 3 = 84
84/8 = 10.5
Median:
3, 5, 6, 7, 7, 7, 8, 41
= 7
ANSWER ASAP ILL MARK BRAINLIEST!!!
if the vertex of a parabola is (-1,-9) what is the equation of the axis of symmetry?
Answer:
v tditofifkgofifoyofjfihkhjkvig
6. The right triangles ABC and DEF are
similar. The hypotenuse of AABC
measures 28 cm and the hypotenuse
of A DEF measures 7 cm. If one of the
legs of AABC measures 16 cm, what
does the corresponding leg of ADEF
measure?
F 1 cm
H 12 cm
G 4 cm
J 64 cm
Answer:
G. 4 cm
Step-by-step explanation:
28 divided by 7 equals 4.
So, 16 divided by 4 equals 4, which is the answer.
4 is the multiple that relates AABC to ADEF.
9. what is the measure of QSR
=======================================================
Explanation:
Extend segment MN such that it intersects side ST. Mark the intersection as point A. See the diagram below.
We're given that angle MNT is 72 degrees. The angle TNA is equal to 180-(angle MNT) = 180 - 72 = 108 degrees, since angles MNT and TNA add to 180.
For now, focus entirely on triangle TNA. We see from the diagram that T = 34 and we just found that N = 108. Let's find angle A
A+N+T = 180
A+108+34 = 180
A+142 = 180
A = 180-142
A = 38
So angle NAT is 38 degrees.
----------------------------
Since segment MA is an extension of MN, and because MN || SQ, this means MA is also parallel to SQ.
We found at the conclusion of the last section that angle NAT was 38 degrees. Angles QST and NAT are corresponding angles. They are congruent since MA || SQ. This makes angle QST to also be 38 degrees
----------------------------
The angles QSR and QST are a linear pair, so they are supplementary
(angle QSR) + (angle QST) = 180
angle QSR = 180 - (angle QST)
angle QSR = 180 - 38
angle QSR = 142 degrees
7.
During the month of December, the low temperature was - 23° F and the high temperature was
-2° F. What is the range of December temperature?
Answer:
I think around 15°c
Step-by-step explanation:
PLEASE accept me in brainly
Help.... My brain stopped working
Answer:
3.2 liters
Step-by-step explanation:
The first thing we want to do is find the amount of water it leaks hourly
To do so we divide the amount of water it leaks in 3 hours ( .48 ) by 3
.48/3 = .16
So the faucet leaks .16 liters per hour
Now to find how much water the faucet leaks in 20 hours
To do this we simply multiply 20 by the hourly leakage amount (.16)
.16 * 20 = 3.2
So in 20 hours the faucet would have leaked 3.2 liters of water
Answer:
3.2 liters of water :)!
Step-by-step explanation:
If 0.48 every 3 hours we can do 0.48/3 to find the amount it loses every hour.
0.48/3=0.16
Then if we multiply 0.16 by 20 we will get the amount it loses in 20.
0.16x20=3.2
Hence, it loses 3.2 liters of water every 20 hours.
Hope this helps:)!
GIVE FULL STEP BY STEP OF THIS MATHS WORD PROBLEM
Sohanlal is a gardener. He is paid ₹160 daily, find how much money will he
get in the month of September?
Answer:
Step-by-step explanation:
days in september=30
salry paid per day=Rs.160
salary paid in 30 days=160×30=Rs.4800
Answer:
4800
Step-by-step explanation:
In the month of September there are only 30 days. So assuming Sohanlal works the entire month of September we will multiply how much he makes daily which is 160 times the amount of days he works which is 30. this will look like this:
160 × 30 = 4800
SOMEONEEEE PLEASEEE HELPPPP ME OUTTTT I DONT NEED EXPLAINING I NEED THE ANSWER
Answer:
26 degrees
Step-by-step explanation:
[tex] \frac{ \sqrt{19} }{ \sin(x) } = \frac{10}{ \sin(90) } [/tex]
[tex] \frac{ \sin(x) }{19} = \frac{1}{10} [/tex]
[tex] \sin(x) = \frac{\sqrt{19} }{10} [/tex]
Take the sin inverse
we get 26 degrees
Identify the segments that are parallel, if any, if ∠DCB,∠CBA are supplementary.
A. DC¯¯¯¯¯¯¯¯ || AB¯¯¯¯¯¯¯¯
B. AD¯¯¯¯¯¯¯¯ || CB¯¯¯¯¯¯¯¯
C. AC¯¯¯¯¯¯¯¯ || CD¯¯¯¯¯¯¯¯
D. BA¯¯¯¯¯¯¯¯ || CA¯¯¯¯¯¯¯¯
Answer:
Option A and Option B
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides of a parallelogram are parallel and equal in measure.
2). Adjacent angles are supplementary.
Since, ∠DCB and ∠ACB are the supplementary angles,
ABCD will be a parallelogram.
Therefore, Opposite sides of the parallelogram ABCD will be parallel and equal in measure.
DC║AB and AD║CB
Option A and Option B are the correct options.
Answer:
A
Step-by-step explanation:
i use same program
28.35 g in an ounce and 2.21 lb in a kilogram. convert 3 kilograms to ounces. Is conversion correct? Explain. please
Answer:
Whether her conversion is correct or not, you can just base it on the true answer. For this problem, we apply the technique of dimensional analysis. You can like units if they both appear on the numerator and the denominator side. The solution is as follows:
Mass in ounces = 3 kg * (1,000 g/ 1 kg) * (1 ounce/28.35 g) = 105.82 ounces
i need help ASAP please
Answer:
reflection over Y axis
Step-by-step explanation:
Answer:
I believe it is D) a reflection over the Y-axis
Step-by-step explanation
it is going over the Y-axis as if it is a sort of mirror, if it were going over the x-axis it would be flipped upside down, if it was A the shape would be going over the original shape. I don't know how to explain C. (I hope this helped and I hope it was correct lol)
