Answer:
y=-4x-4
Step-by-step explanation:
m=-4
point(-2,4)
y-4 = -4 (x- (-2) )
y-4 = -4 (x+2)
y-4 = -4x -8
y = -4x -4
Step-by-step explanation:
we are going to use quadratic equation for this particular question . so now we are going to change the signs i.e from negative to positive or from positive to negative(-2 will turns to +2) nd +4 will turns to-4)
therefore, (x+2)(x-4) then we na expand the bracket x(x-4)+2(x-4)
x square -4x+2x-8
therefore the equation is nothing but x square-2x-8
The monthly expenditures on food by single adults in one city are monthly distributed with a mean of $410 and a standard deviation of $70
Answer:
is the whole question asked?
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 .
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 plumber uses the expression 48 + 25h to determine the number of dollars to charge each customer. If h= 2.5, how much does the customer pay
Answer:
$110.5
Step-by-step explanation:
48 + 25(2.5)
48 + 62.5
=110.2
Answer:
The answer is 110.5
Step-by-step explanation:
48+25(2.5)=110.5
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
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
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.
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:
qustion to give kagimatoby a brainly
Answer:
wdym
Step-by-step explanation:
Which expression is equivalent to 16a -18b + 20a
A.(16 + 20)a + 18b
B.(16 + 20)a - 18b
C.(16 - 20)a + 18b
D. 16a - (20a + 18b)
Which graph represents a proportional relationship?
Answer:
Are there any other answer choices...because none of these are proportional relationships?
Step-by-step explanation:
Hold on, give me a sec I think I had this question. Let me go and check what the answer was.
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
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 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°
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
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 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.
The perimeter of a rectangle is 162 cm. The length of the rectangle is eleven centimeters more than
four times the size of the width. What is the length and width of the rectangle?
let
width = w
length = 4w + 11
2(length) + 2(width) = perimeter
2(4w + 11) + 2(w) = 162
8w + 22 + 2w = 162
10w + 22 = 162
10w = 140
w = 14 cm (WIDTH)
length = 4w + 11
length = 4(14) + 11
length = 56 + 11
LENGTH = 67 cm
The length is 4(14)+ 11 = 67 cm and width is 14 cm.
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Perimeter of rectangle = 162 cm
let the width be x .
then, the length is 4x+ 11
Thus, Perimeter of rectangle= 2(l + w)
162 = 2( 4x + 11 + x)
162 = 2( 5x +11)
81 = 5x+ 11
5x= 70
x= 14
Hence, the length is 4(14)+ 11 = 67 cm and width is 14 cm.
Learn more about algebra here:
https://brainly.com/question/24875240
#SPJ5
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
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (6, -3). What is the vertex of the function defined as
g(x) = f(-x) - 3?
Answer: (-6, - 6)
Step-by-step explanation:
Here we have two transformations, and the first step will be to explain those transformations:
Reflection over the y-axis.
For a function f(x), the reflection over the y-axis is written as:
g(x) = f(-x)
Then if we initially had a point (x, y), the transformed point will be (-x, y).
Vertical translation.
We can define a vertical translation of N units as:
g(x) = f(x) + N
if N > 0, the translation is up.
If N < 0, the translation is down.
Then if we start with a point (x, y), the transformed point will be (x, y + N)
In the case of this problem we have g(x) = f(-x) - 3
This means that N = -3
Then if we initially had the vertex at the point (6, - 3)
The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:
(-6, -3 - 3) = (-6, - 6)
The vertex of the resulting parabola will be (-6, -6)
Rule of reflectionGiven the function y= f(x), plotted on a graph and the vertex of the resulting
parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:
[tex](x,y) \rightarrow (-x, y)[/tex]The coordinate (6, -3) under this translation will give (-6, -3)To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]
[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]
Hence the vertex of the resulting parabola will be (-6, -6)
Learn more on reflection here: https://brainly.com/question/14460986
What is 3/4 divided by 1/8? Express your answer in the simplest form.
Answer:
6
Step-by-step explanation:
Plzzzzzz help answer this question ASAP
Answer:
1. Not possible
2. Possible
3. Possible
4. Possible
Step-by-step explanation:
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
A point is plotted at 30.05 on a number line. Which of these describes the
location of the point?
between 5 and 30
between 30 and 31
between 29 and 30
1)) between 31 and 35
Will mark brainliest.
Answer:
integer
natural
whole
rational
Step-by-step explanation:
integer
natural
rational
real
whole
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
What is the value of n in this equation?
7^6·7^3=7^n
Answer: n = 9
Step-by-step explanation:
first, we calculate the first equation.
7^9 = 7^n
then, we set the exponents as equal.
9 = n
then, we simply swap the sides.
n = 9
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
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.............
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