=======================================================
Work Shown:
y = 4x+5 .... start with equation B
x+1 = 4x+5 .... replace y with x+1, due to equation A
The second step used the substitution property.
------
Alternative Viewpoint:
The variable y is equal to both 4x+5 and x+1 at the same time; therefore, the two right hand sides must be the same.
It's like saying if y = x and y = 5, then x = 5.
James says hello to every fourth grown every 6 boy he meets how often does James say hello to both the boy and girl together
Answer:
Six multipled by four to get how many girls and boy he will sayhrllo to.
the table below shows the distribution of students in Mrs. boxer 6th grade class what is the ratio of the number of girls to the total number of students ? * it is 15 boys and 12 girls. Write each ration as a fraction
Answer:
Ratio is 12:27 ratio as a fraction is 12 over 27
Step-by-step explanation:
no need for explaination lolz
A researcher is testing a hypothesis of a single mean. The critical z value for a = .05 and a two‑tailed test is +1.96. The observed z value from sample data is ‑2.05. The decision made by the researcher based on this information is to _____ the null hypothesis.
Answer:
The decision made by the researcher based on this information is to reject the null hypothesis.
Step-by-step explanation:
Two-tailed hypothesis test:
Critical value: [tex]z_c[/tex]
Test statistic: z
If [tex]|z| < |z_c|[/tex], we do not reject the null hypothesis.
If [tex]|z| > |z_c|[/tex], we reject the null hypothesis.
In this question:
[tex]z_c = 1.96, z = -2.05, |z| = 2.05[/tex]
Since [tex]|z| > |z_c|[/tex], we reject the null hypothesis.
The decision made by the researcher based on this information is to reject the null hypothesis.
i need help please giving brainlest which statement accurately describes the scatter plot
Answer:
I think it's B. but I'm not too sure. sorry if I'm wrong
Round $5.760,000,000,000 to the nearest hundred billion
Answer:
5,800,000,000,000
hope this helps
have a good day :)
Step-by-step explanation:
HELP HELP HELP HELP
Answer:
its option C
Step-by-step explanation:
because ages 51-60 have around 30 more in years and since the 51-60 is half way in the collums it would be 5 so then its 35 more voters :)
2) What is the volume of a basketball that has a diameter of 15 inches?
BRAINLIEST
PLEASE HELP
10PTSS
A scale drawing of Julie's living room is shown below:
If each 2 cm on the scale drawing equals 4 feet, what are the actual dimensions of the room?
Find the measure of the missing interior angle of the polygon.
Answer: 224
Step-by-step explanation:
The total degrees of a 7-sided shape is 900. You can find that out using the equation (n-2) times 180. Where n is the number of sides. If you add up all the interior angles they equal 676. Then just subtract 676 from 900. 900-676= 224 degrees. That is the missing interior angle.
Hannah Borjas
What is the perimeter of the rectangle?
TH
65 feet
55 feet
A 240 feet
B 130 feet
с
3,575 feet
D
120 feet
At a music store, 8 CDs cost $32. How much will 15 CDs cost at this store?
Answer:
60$
Step-by-step explanation:
divide 32 by 8 which gives you 4. so each individual CD is 4 dollars. if you multiply 4$ per CD by the number of CDs (15) it's 60. so the answer is 60$ :)
Answer:
60$
Step-by-step explanation:
Hector used the quadratic formula to solve the polynomial equation
9x^2+ 8x - 2 = 0
Which number did Hector have to square when he used the quadratic formula?
Answer:
STEP
1
:
Equation at the end of step 1
(32x2 - 8x) - 2 = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 9x2-8x-2
The first term is, 9x2 its coefficient is 9 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 9 • -2 = -18
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -8 .
-18 + 1 = -17
-9 + 2 = -7
-6 + 3 = -3
-3 + 6 = 3
-2 + 9 = 7
-1 + 18 = 17
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step
2
:
9x2 - 8x - 2 = 0
STEP
3
:
Parabola, Finding the Vertex:
3.1 Find the Vertex of y = 9x2-8x-2
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, 9 , 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,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 0.4444
Plugging into the parabola formula 0.4444 for x we can calculate the y -coordinate :
y = 9.0 * 0.44 * 0.44 - 8.0 * 0.44 - 2.0
or y = -3.778
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = 9x2-8x-2
Axis of Symmetry (dashed) {x}={ 0.44}
Vertex at {x,y} = { 0.44,-3.78}
x -Intercepts (Roots) :
Root 1 at {x,y} = {-0.20, 0.00}
Root 2 at {x,y} = { 1.09, 0.00}
Solve Quadratic Equation by Completing The Square
3.2 Solving 9x2-8x-2 = 0 by Completing The Square .
Divide both sides of the equation by 9 to have 1 as the coefficient of the first term :
x2-(8/9)x-(2/9) = 0
Add 2/9 to both side of the equation :
x2-(8/9)x = 2/9
Now the clever bit: Take the coefficient of x , which is 8/9 , divide by two, giving 4/9 , and finally square it giving 16/81
Add 16/81 to both sides of the equation :
On the right hand side we have :
2/9 + 16/81 The common denominator of the two fractions is 81 Adding (18/81)+(16/81) gives 34/81
So adding to both sides we finally get :
x2-(8/9)x+(16/81) = 34/81
Adding 16/81 has completed the left hand side into a perfect square :
x2-(8/9)x+(16/81) =
(x-(4/9)) • (x-(4/9)) =
(x-(4/9))2
Things which are equal to the same thing are also equal to one another. Since
x2-(8/9)x+(16/81) = 34/81 and
x2-(8/9)x+(16/81) = (x-(4/9))2
then, according to the law of transitivity,
(x-(4/9))2 = 34/81
We'll refer to this Equation as Eq. #3.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-(4/9))2 is
(x-(4/9))2/2 =
(x-(4/9))1 =
x-(4/9)
Now, applying the Square Root Principle to Eq. #3.2.1 we get:
x-(4/9) = √ 34/81
Add 4/9 to both sides to obtain:
x = 4/9 + √ 34/81
Since a square root has two values, one positive and the other negative
x2 - (8/9)x - (2/9) = 0
has two solutions:
x = 4/9 + √ 34/81
or
x = 4/9 - √ 34/81
Note that √ 34/81 can be written as
√ 34 / √ 81 which is √ 34 / 9
Solve Quadratic Equation using the Quadratic Formula
3.3 Solving 9x2-8x-2 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 9
B = -8
C = -2
Accordingly, B2 - 4AC =
64 - (-72) =
136
Applying the quadratic formula :
8 ± √ 136
x = —————
18
Can √ 136 be simplified ?
Yes! The prime factorization of 136 is
2•2•2•17
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).
√ 136 = √ 2•2•2•17 =
± 2 • √ 34
√ 34 , rounded to 4 decimal digits, is 5.8310
So now we are looking at:
x = ( 8 ± 2 • 5.831 ) / 18
Two real solutions:
x =(8+√136)/18=(4+√ 34 )/9= 1.092
or:
x =(8-√136)/18=(4-√ 34 )/9= -0.203
Two solutions were found :
x =(8-√136)/18=(4-√ 34 )/9= -0.203
x =(8+√136)/18=(4+√ 34 )/9= 1.092
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
ax² + bx + c = 0
In the quadratic formula the "b" coefficent gets sqaured
bx = 8x
b = 8
Find the volume of a pyramid with a square base, where the perimeter of the base is
19.9 in and the height of the pyramid is 14.3 in. Round your answer to the nearest
tenth of a cubic inch.
Answer:
118.0 in^3
Step-by-step explanation:
A person invests 6500 dollars in a bank. The bank pays 6.5% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 22600 dollars?
What is the answer to 5/9 + 2/9? Lol please help me
Answer:
7/9
Step-by-step explanation:
Answer:
answer is 7/9
Step-by-step explanation:
5/9 + 2/9 = 7/9
help help help help help!
Answer:
Step-by-step explanation:
x intercept at (1,0): Function f(x) and h(x)
Increasing on all intervals: Only g(x)
Approaches an integer as x approaches negative infinity: all three functions (I'm pretty sure)
Y-intercept at (0,4): f(x) and g(x)
In the "magic square" at the right, the four numbers
in each column, in each row, and in each of the two
diagonals, have the same sum. What value should N
have?
URGENT PLEASE HELP DUE ON THURSDAY 5/27/2021
Answer:
15
Step-by-step explanation:
eric has 20 toy trains. Tommy has 3 times as many. How many toy trains does tommy have?
Answer:
20 times 3, do the math and you get
Answer:
60
Step-by-step explanation:
20x3=60 ............
How do I get the answer
Answer:
-9Step-by-step explanation:
[tex] - |3a + \sqrt{b} | [/tex]
By putting the values of a = -4 , b = 9,
[tex] = - |3 \times ( -4) + \sqrt{9} | [/tex]
[tex] = - | - 12 + 3| [/tex]
[tex] = - | - 9| [/tex]
= -(9)
= -9 (Ans)
135°
Solve for «2.
62 = [?]
45°
142
86°
Enter
Answer:
look at the picture i have sent
Answer:
Answer:
Solution given:
135=<2+86
<2=135°-86=49°[ exterior angle is equal to the sum of the opposite Interior angle of a triangle]
What is the weight (in grams) of a liquid that exactly fills a 465.0 milliliter container if the density of the liquid is 0.982 grams over milliliter? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.
Answer:456.63
Step-by-step explanation:
The weight (in grams) of a liquid is 456.63 grams.
What is weight?Weight is a quantity representing the force exerted on a particle or object by an acceleration field, particularly the gravitational field of the Earth at the surface.
V = Volume of liquid = 182.8 milliliter
[tex]\rho[/tex] = Density of liquid = 0.135 grams over milliliter
We know that,'
mass= volume x density
= 465 x 0.982
= 456.63 grams
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The price of a gallon of milk follows a normal distribution with a mean of $3.20 and a standard deviation of $0.10. What proportion of the milk vendors have prices that were less than $3.12 per gallon
Answer:
[tex]P(x<3.12)= 0.21186[/tex]
Step-by-step explanation:
Mean [tex]\=x=\$3.20[/tex]
Standard deviation [tex]\sigma =\$0.10[/tex]
Estimated price [tex]y=\$3.12[/tex]
Generally the equation for P(x<3.12) is mathematically given by
[tex]P(x<3.12)=P(\frac{y-x}{\sigma}<-\frac{3.12-3.20}{0.10})[/tex]
[tex]P(x<3.12)=(z<-0.8)[/tex]
Since from Z table
[tex]P(x<3.12)= 0.21186[/tex]
Therefore the proportion of the milk vendors that have prices that were less than $3.12 per gallon is
[tex]P(x<3.12)= 0.21186[/tex]
PLS help lots of points for easy question
Answer:
Option C
Step-by-step explanation:
Given :
The conversion factor is 12in/1ft.And we need to find out that which cube has the larger surface area. We know that ,
[tex]\dashrightarrow [/tex] 1 ft = 12 inch
So the conversion factor becomes ,
[tex]:\implies[/tex] 12 in : 1ft
[tex]:\implies[/tex] 12in : 12 in
[tex]:\implies[/tex] 1 : 1
So both are same.Hence the both cubes have same surface area .
please help me !!!!!!
Answer:
okay!
Step-by-step explanation:
its B
Answer:
C)
Step-by-step explanation:
option—B&Dwe eliminate these two options
because remember quadratic function standard form
[tex] \displaystyle f(x) = {ax}^{2} + bx + c[/tex]
recall that, if
a is negative then the graph will flip upside downbut a is positive so it won't flip upside down therefore,
these two are our answer
option-A:it seems good but it's not the answer according to the given condition however it's true for the opposite of the given condition:
option-C:it's our answer since the condition x<-2 for the quadratic function tells us everything is input For x which is less than -2 the graph-c as well yields so
likewise the absolute value function. the condition tells everything is input for x which is greater than or equal to -2 the graph also says so
hence our answer is C
(4y − 3)(2y2 + 3y − 5)
Answer:
8y^3+6y^2-29y+15
Step-by-step explanation:
the correct expression is
(4y − 3)(2y^2 + 3y − 5)
Given data
We have the expression
(4y − 3)(2y^2 + 3y − 5)
let us open bracket
8y^3+12y^2-20y-6y^2-9y+15
Collect like terms
8y^3+12y^2-6y^2-20y-9y+15
8y^3+6y^2-29y+15
Please help fast..........
Answer:
Where's the picture?
Which number makes the following number sentence true 3+6=6+
Answer:
3
Step-by-step explanation:
Answer:
3 + 6 = 6 + 3
Step-by-step explanation:
3 + 6 = 6 + y
9 = 6 + y
y + 6 = 9
y + 6 - 6 = 9 - 6
y = 3
find the value of X and please show your work.
Answer:
x= -22
Step-by-step explanation:
3x=5x+44
subtract 2x from both sides and leave only x on one side 3x(-2x)=5x(-2x)+44
then you get
x=3x+44
then you subtract the 3x to both sides
x(-3x)=3x(-3x)+44
then you get
-2x=44
and divide 2 on each side so-
x= -22
Can someone help me with this worksheet? I'm trying to check my daughter's work and I'm not sure how to do this. Showing the work would help me see where and if shes wrong.
Answer:
Step-by-step explanation:
scam . smď
The universal set is the set of rational numbers. S is the set of integers.
Which represents SC?
{x|x is a real number}
{x|x is a rational number}
{x|x is a rational positive number}
{x|x is a rational non-integer}
Answer:
It's D on EDGE
Step-by-step explanation:
The compliment of the set S is {x|x is a rational non-integer}
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
Let the universal set be represented as U
where the value of U is
U = {x|x is a rational numbers}
And , let the second set be represented as S,
where S = {x|x is an integer}
Now , the compliment of set S is given by = S'
And , S' = 1 - S
On simplifying , we get
S' = 1 - {x|x is an integer} and it belongs to U
So , S' = {x|x is a rational non-integer}
Hence , the set is S' = {x|x is a rational non-integer}
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