Answer: Your real answer is D
Step-by-step explanation:
The start is 7 to the right of 2
Answer:
the answer is 0
Step-by-step explanation:
Solve the equation M^2+4m+9=0.
Fully simplify all answers including non real solutions
Should end up with an answer like M=
Answer:
2 solutions:
1) m =(4-√52)/2=2-√ 13 = -1.606
2) m =(4+√52)/2=2+√ 13 = 5.606
Step-by-step explanation
The first term is, m2 its coefficient is 1 .
The middle term is, -4m its coefficient is -4 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9
Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -4 .
-9 + 1 = -8
-3 + 3 = 0
-1 + 9 = 8
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 1:
m2 - 4m - 9 = 0
STEP 2:
Parabola, Finding the Vertex:
2.1 Find the Vertex of y = m2-4m-9
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Am2+Bm+C,the m -coordinate of the vertex is given by -B/(2A) . In our case the m coordinate is 2.0000
Plugging into the parabola formula 2.0000 for m we can calculate the y -coordinate :
y = 1.0 * 2.00 * 2.00 - 4.0 * 2.00 - 9.0
or y = -13.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = m2-4m-9
Axis of Symmetry (dashed) {m}={ 2.00}
Vertex at {m,y} = { 2.00,-13.00}
m -Intercepts (Roots) :
Root 1 at {m,y} = {-1.61, 0.00}
Root 2 at {m,y} = { 5.61, 0.00}
Add 9 to both side of the equation :
m2-4m = 9
Now the clever bit: Take the coefficient of m , which is 4 , divide by two, giving 2 , and finally square it giving 4
Add 4 to both sides of the equation :
On the right hand side we have :
9 + 4 or, (9/1)+(4/1)
The common denominator of the two fractions is 1 Adding (9/1)+(4/1) gives 13/1
So adding to both sides we finally get :
m2-4m+4 = 13
Adding 4 has completed the left hand side into a perfect square :
m2-4m+4 =
(m-2) • (m-2) =
(m-2)2
Things which are equal to the same thing are also equal to one another. Since
m2-4m+4 = 13 and
m2-4m+4 = (m-2)2
then, according to the law of transitivity,
(m-2)2 = 13
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(m-2)2 is
(m-2)2/2 =
(m-2)1 =
m-2
Now, applying the Square Root Principle to Eq. #2.2.1 we get:
m-2 = √ 13
Add 2 to both sides to obtain:
m = 2 + √ 13
Since a square root has two values, one positive and the other negative
m2 - 4m - 9 = 0
has two solutions:
m = 2 + √ 13
or
m = 2 - √ 13
Solving m2-4m-9 = 0 by the Quadratic Formula .
According to the Quadratic Formula, m , the solution for Am2+Bm+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
m = ————————
2A
In our case, A = 1
B = -4
C = -9
Accordingly, B2 - 4AC =
16 - (-36) =
52
Applying the quadratic formula :
4 ± √ 52
m = —————
2
Can √ 52 be simplified ?
Yes! The prime factorization of 52 is
2•2•13
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 52 = √ 2•2•13 =
± 2 • √ 13
√ 13 , rounded to 4 decimal digits, is 3.6056
So now we are looking at:
m = ( 4 ± 2 • 3.606 ) / 2
Two real solutions:
m =(4+√52)/2=2+√ 13 = 5.606
or:
m =(4-√52)/2=2-√ 13 = -1.606
Henry owns seven dogs each day splits 13 cans of dog food equal among the dogs what is the number of cans of dog food that each dog gets in one day?
Answer: 1.8 cans
Step-by-step explanation:
Answer:
1.85 cans of dog food.
Step-by-step explanation:
You need to divide 13 cans by 7 dogs.
the sum of 26 and twice a number
Answer:
the answer to your question is 78. and the algebraic expression is 26 times 2 equals 52, then 52 plus 26
what is the measure
Answer:
Step-by-step explanation:
t+t+10+t+20=180
3t+30=180
3t=180-30=150
t=150/3=50
t+20=50+20=70
exterior angle=180-70=110°
PLZ HELP PLZ HELP PLZ HELP PLZ HELP PLZ HELPPLZ HELP
Answer:
$22,100
Step-by-step explanation:
20 x 25 = 500
10 x 18 = 180
500 + 180 = 680
680 x 32.50 = 22,100
plz give me brainliest and hope this helps
Find the absolute maximum value of the function
Answer:
find ity yourself -_______________-
Step-by-step explanation:
Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? I WILL GIVE BRAINLYIEST!!
Answer:
The corect one is actually D- 4x2-4x+1
Step-by-step explanation:
Need help with these 2
Answer:
1)(6,4)
11+1=12/2 =6
6+2=8/2=4
A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags of sand (b) can also be carried by the hot air balloon? Select three options.
–2
0
5
8
10
It's these since none of the others are correct are 0,5, and 8. Otherwise known as B,C,and D
Answer:
8 sand bags
Step-by-step explanation:
300 - 140 = 160
160 ÷ 20 = 8
8 sand bags of 20-pounds each.
what is the slope and y intercept of y=4x-5
Answer:
theres is your answer
Step-by-step explanation:
Explanation: y=4x−5 is in the form of the slope-intercept formula for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. By definition, the y-intercept is −5 .
please help me asap
Answer:
1. the first one
2. the second one
Step-by-step explanation:
The open circle means that it isn't equal to so x is less than two because of where its headed on the line
The second one is equal to becasue it's filled in. Once again X is less than this number beacause of which way it is going on the graph
what is 39.5/4 if you tell me you get 45 points
Answer:
9.875
Step-by-step explanation:
Answer:
9.875
Step-by-step explanation:
get a calculator
Ed is on a road trip. He has already traveled 206 miles and is driving at a rate of 66 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 636 total miles?
Answer:
B 66x+206=636
0.052 divided by blank equals 0.052
Answer:
0.002704
Step-by-step explanation:
You just multiply 0.052 by itself
then divide the answer by 0.052
Will mark brainliest.
Answer:
integer
natural
whole
rational
Step-by-step explanation:
integer
natural
rational
real
whole
Plzzzzzz help answer this question ASAP
Answer:
1. Not possible
2. Possible
3. Possible
4. Possible
Step-by-step explanation:
Pedro y su hijo tienen juntos 55 años , si Pedro es 25 años mayor que su hijo ¿Cuál es la edad de Pedro? rapido plox
Answer:
30?...creo que esa es la respuesta
Step-by-step explanation:
55-25=30
3. Which expression is equivalent to 1+2(x-1)
Answer:
2x - 1
Step-by-step explanation:
Equivalent Algebraic Expressions
One algebraic expression can be written in several ways by applying known rules and theorems that modify expressions without changing its final value.
The expression:
1 + 2(x - 1)
Can be modified by applying the following operations:
Multiplying the constant by the contents in parentheses:
1 + 2x - 2
Collecting like terms:
-1 + 2x
Or, equivalently:
2x - 1
4a2 - 1
c) 2а – За – 2
What is the volume of this composite solid?
2 m
8 m
3 m
5 m
Answer:
240
Step-by-step explanation:
2*8*3*5
Answer:
160
Step-by-step explanation:
a P e X
which list shows the temperatures in order from coldest to warmest in degrees fahrenheit? HELP ME PLSSS I NEED THIS SOON
Answer:
Step-by-step explanation:
The answer is C
(づ｡◕‿‿◕｡)づ
Hope it helps
A person is interested in studying the amount of time (in minutes) people spend on social media in day. The following data is collected from a sample of 12 people: 45, 60, 25, 55, 75, 90, 100, 120, 105, 80, 0, and 220. (a) Calculate the mean, variance and standard deviation and 5
Answer:
81.25 ; 3091.48 ; 55.60
Step-by-step explanation:
Given the data :
45, 60, 25, 55, 75, 90, 100, 120, 105, 80, 0, 220
The mean :
ΣX/n ; n = sample size
ΣX = 45+60+25+55+75+90+100+120+105+80+0+220 = 975
n = 12
Mean = 975 / 12 = 81.25
The variance :
Σ(X - m)^2 / n - 1
Using calculator to save computation time :
The variance : (34006.24997 / 11)
Variance = 3091.48
The standard deviation :
Sqrt(Variance) = sqrt(3091.48) = 55.60
A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags of sand (b) can also be carried by the hot air balloon? Select three options.
–2
0
5
8
10
The answer since none of the others are correct are 0,5, and 8. Otherwise known as B,C,and D
Answer:
8, 5, 0 (B, C, D)
Step-by-step explanation:
okay so in order to solve this, first you would do 300-140 since the limit is 300 and 140 is already occupied. 300-140=160. Next, to find the number of 20-pound bags that can fit, you would do 160/20 or just 20b<_160 (<_ is less than or equal to). b<_ 8, therefore you could have anything ranging from 0b-8b. You cannot have a negative number of bags, that is just not possible, and with 10 bags, you surpass the weight limit by 40 pounds.
5 students made an A in their Math quiz, 10 students made an B, 6 students made an C,
3 students made a D, and one made an F,
their are 25 students in this class
which are true select all that apply
A. For this math class, 10% of all students received an F
B. for this math class, 6% of all students received a C
C. for this math class 20% of all students received an A
D. the part -to-whole ratio of students who received a B is 10 : 25.
Answer:
I think is C.............
p(n) = -8n^2 + 9n, Find p(10)
Answer:
first
put the value of p(10) in the place n,
2-multiply -8×10^2+9×10
3-:- -8×100+90
4:-800+90=710ans
what is a domain and range
and how do I find it
Answer: Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
ASAP please help me I need this quick
The question and answers are in the picture
4.
What is the result of (f X g)(x) if
f(x) = -3x + 11 and g(x) = 11x + 7?
( 33x² 100x - 77
(B 33x - 142x - 77
C -33x + 100x + 77
D -33x² + 142x + 77
Answer:
thank you
Step-by-step explanation:
thanks for the pts i need them sowwy
What is 3/4 divided by 1/8? Express your answer in the simplest form.
Answer:
6
Step-by-step explanation:
find the value of x then classify the triangle by its angles
Answer:
x = 134°
Step-by-step explanation:
Let
[tex]\angle A=64^{\circ}\\\\\angle B =70^{\circ}[/tex]
We need to find the value of x.
We can see from the figure that x is exterior angle. To find x we can use exterior angle theorem. According to this theorem,
[tex]x=\angle A+\angle B\\\\x=64+70\\\\x=134^{\circ}[/tex]
Hence, the value of x is 134°
