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Related Questions
PLEASE HELP ME ASAP!!!! My entire grade depends on these questions and I need to show the work that go me there
I know it is a long one, but I am giving away all of my points!!! I know most of the answers, but for all exept the graphing questions the work needs to be shown!
Consider the quadratic function.
f(x)=-(x+4) (x-1)
(a) What are the x-intercepts and y-intercept?
(b) What is the equation of the axis of symmetry?
(c) What are the coordinates of the vertex?
(d) Graph the function on the coordinate plane. Include the axis of symmetry.
Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the
development of a recreational park on the west side of town. A community action group interested in
preserving the environment claims that 45% of the town’s residents favor the development of a recreational
park.
To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each
with a sample of 200, using the point estimate of the population. The minimum sample proportion from the
simulation is 0.46 and the maximum sample proportion is 0.76.
(a) What is the point estimate of the population?
(b) The margin of error of the population proportion is found using an estimate of the standard deviation.
What is the interval estimate of the true population proportion?
(c) The margin of error of the population proportion is found using the half the range.
What is the interval estimate of the true population proportion?
(d) Is the community action group’s claim likely based on either interval estimate of the true population
proportion? Explain.
Solve the system of equations. Show your work.
y=x^2-3x+4
x+y=4
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Answer:
Answers are in bold
Step-by-step explanation:
Part 1A
Use the Zero Product Property to find the x-intercepts:
0=-(x+4)(x-1)
0=(x+4)(x-1)
0=(x+4)
-4=x
x=-4
0=(x-1)
1=x
x=1
So the x-intercepts are x=-4 and x=1 which is also (-4,0) and (1,0)
For the y-intercepts, plug in x=0:
f(x)=-(0+4)(0-1)
f(x)=(-4)(-1)
f(x)=4
So the y-intercept is y=4 which is also (0,4)
Part 1B
In general, the axis of symmetry is equal to x=h in the equation y=(x-h)^2+k
For a parabola, the axis of symmetry is equal to x=-b/2a, so we expand the given equation and then plug in the values of "a" and "b" to get the axis of symmetry:
f(x)=-(x+4)(x-1)
f(x)=-(x^2+3x-4)
f(x)=-x^2-3x+4
So now we know a=-1 and b=-3, therefore we can plug them in:
x=-b/2a
x=-(-3)/2(-1)
x=3/-2
x=-3/2
x=-1.5
So the equation of the axis of symmetry is x=-1.5
Part 1C
We'll use the equation x=-b/2a to get the x-coordinate for the vertex (which we already know is x=-1.5), then plug in that value of x in the original equation to get the y-coordinate for the vertex:
f(x)=-(-1.5+4)(-1.5+1)
f(x)=-(2.5)(-0.5)
f(x)=-(-1.25)
f(x)=1.25 <-- y-coordinate
So the coordinates of the vertex are (-1.5,1.25)
Part 1D
See the image below
I'll let someone else do the last 4 questions as I am unable to answer them.
z+ 3/2 = 0
what do i do next .?
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Step-by-step explanation:
z+3/2=0
find the LCM of z +3/2
2z+3/2=0
cross multiply
0=2z+3
-3=2z
z=-3/2
z=-1.5
Solve problem in photo (8th math)
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..............................................................................
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thank you love <3 greatly appreciated.
Help I only got a limited time
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Answer:
Red
Step-by-step explanation:
Y intercept is 1
Slope is -2 (line is going down so the slope is negative)
Answer:
the yellow box
Step-by-step explanation:
Rectangle ABCD has points at A (4, −2), B(4, 4), C(8, 4), and D(8, −2). After undergoing a transformation, its new points are A'(2, −1), B'(2, 2), C'(4, 2), and D (4, −1). Is the new figure congruent to the old figure? Why or why not?
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Answer:
The new figure is not congruent with the old figure. They are similar
Step-by-step explanation:
Transformations
We are given the vertices of rectangle ABCD and the vertices of rectangle A'B'C'D'.
It can be clearly noted all the coordinates of the second rectangle are half the value of the coordinates of the first rectangle.
This type of transformation corresponds to a dilation across the origin with a scale factor of 1/2.
Since the transformed rectangle is smaller than the first one, it cannot be congruent with it.
But since all the dimensions of this smaller rectangle are proportional to those of the bigger rectangle, they are similar.
What is the initial value in this question y=8x+6 8 or 6?
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Answer:
it should be an 8
Step-by-step explanation:
The initial value in this question y = 8x+6 will be 8 .
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The equation is given as;
y = 8x+6
We can see that the equation contains two terms that are 8x and 6.
The initial value is the first number of the first term in the equation.
Here, the first term is 8x.
Hence, the initial value in this question y = 8x+6 will be 8 .
Learn more about equations here;
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17q=476 Solve for q
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Answer: The answer is q = 28.
Does anyone else need to do Ed.genuity?
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No, if you don’t mind what is that?
is someone willing to help me with my math homework? i really don’t understand :/
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How would you use a table to graph –3x + 4y = 23?
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Answer: you would look for y and then once you have y you put it into desemos which is a graphing app and then you get your line
Step-by-step explanation: you would do +3x on both sides with out doing it to the 4y and the. You would get 4y =23+3x and then you divide everything by 4 even the 4y and then you would get y= 23/4 + 3/4x and then you put it into desemos and it will give you it graphed
Helpppppppppppppppppp
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Answer:
6
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
90 Degrese Rotation
which expression is equivalent to the given expression? 2x^2-14x+24
A.) 2(x-3)(x-4)
B.) 2(x-5)(x-2)
C.)(2x-12)(x-2)
D.)2(x-8)(x+3)
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Answer:
2(x-3)(x-4)
Step-by-step explanation:
i believe thats the answer
Which polynomial can be factored using the binomial theorem?
100x2 + 70x + 49
100x2 + 210x + 49
1,000x3 – 2,100x2 + 1,470x – 343
1,000x3 – 2,800x2 + 1,960x – 343
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Answer:C
Step-by-step explanation:
The polynomial can be factored using the binomial theorem is
1,000x³ – 2,100x² + 1,470x – 343.
What is Binomial Theorem?Assertion that the sum of the nth power of the product of two positive integers a and b may be written as the sum of the n + 1 terms of the form for any positive integer n.
If a and b are real numbers and n is a positive integer, then
[tex](a + b)^n =^nC_0 a_n + ^nC_1 a_{n-1} b_1 + ^nC_2 a_{n-2} b_2 + ... 1.[/tex]
Given:
Using Binomial we can write
(a+ b)³ = a³ + b³ + 3a²b + 3ab²
and, (a+ b)² = a² + 2ab + b²
So, 100x²+ 70x + 49 and 100x² + 210x + 49 cannot be factors using Binomial Theorem because the correct expansion would be
(10x+ 7)² = 100x² + 140x + 49
and, 1,000x³ – 2,100x² + 1,470x – 343 can be factored using Binomial theorem.
As, (10x - 7)³ = 1000x³ -2100x² + 1470x - 343.
Learn more about Binomial theorem here:
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How do u do this I am so confused please help!!
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Answer:
x = √145
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Identify Variables
Leg a = 12
Leg b = x
Hypotenuse c = 17
Step 2: Solve for x
Substitute [PT]: 12² + x² = 17²Isolate x term: x² = 17² - 12²Exponents: x² = 289 - 144Subtract: x² = 145Isolate x: x = √145PLEASEE HELP AND SHOW WORK IF YOU CAN
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Answer:
M=54.62
O=59.69
N=65.68
Step-by-step explanation:
M is the smallest, and N is the largest:)
you can use cossincalc . com !!
pls help (15 pts)
whats the value of p
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Can someone please help with this.
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Answer:
92
Step-by-step explanation:
Sum of 2 interior angles= exterior angle so
148=56+h
h= 148-56
In ΔHIJ, h = 450 cm, i = 210 cm and j=640 cm. Find the measure of ∠I to the nearest degree.
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Answer:
10
Step-by-step explanation:
The measure of an angle∠I is 10 degrees between the 450 cm and 640 cm sides.
What is the Cosine Rule?The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.
c² = a² + b² − 2ab cos(C)
The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.
In the given triangle ΔHIJ,
Sides:
h = 450 m
i = 210 m
j = 640 m
The angle of ∠I is 10 degrees between the 450 cm and 640 cm sides.
According to the cosine rule,
j² = h² + i² − 2ab cos(I)
Substitute the values in the Cosine Rule,
450² = 210² + 640² - 2(210)(640)cos(I)
After solving we get the value of angle ∠I :
∠I = 9.56038°
Rounded to the nearest degree.
∠I = 10°
Thus, the measure of an angle∠I is 10 degrees.
Learn more the cosine rule here:
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Marta received $5 for helping her dad in the back yard. She spent $2.40 on drinks and $1.33 on snacks. A)Write an equation to show how much money she has left. Remember to define your unknown. B)Solve the equation from part (a). Show your work
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Answer:
5-( 2.40+1.33 )= $1.27
Step-by-step explanation:
If you add $2.40 to $1.33 you get $3.73, the total amount of money she spent on drinks and snacks. Then you would need to subtract $3.73 from $5.00, which is $1.27.
I hope this helps!
The cost for an order of 100 kilograms of steel bars is $230. The cost for an order of 150 kilograms of steel bars is $320. Write an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x). Show or explain how you found your equation.
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Answer:
y = 9x/5 + 50
Step-by-step explanation:
We are represent the information as coordinate (x,y)
If the cost for an order of 100 kilograms of steel bars is $230, this is expressed as (100, 230)
Also if the cost for an order of 150 kilograms of steel bars is $320, this is expressed as;
(150, 320)
Find the equation of a line passing through the points. The standard form of the equation is expressed as y = mx+c
m is the slope
c is the intercept
Get the slope;
m = y2-y1/x2-x1
m = 320-230/150-100
m = 90/50
m = 9/5
Get the y-intercept by substituting m = 9/5 and any point say (100, 230) into the expression y = mx+c
230 = 9/5(100)+c
230 = 9(20)+c
230 = 180 + c
c = 230-180
c = 50
Get the required equation
y = mx+c
y = 9/5 x + 50
Hence an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x) is y = 9x/5 + 50
This is the second time I put this, PLEASE ANSWER!!!
Subtract.
7h 15min 12s
2h 03min 46s
OPTIONS:
5 hours, 11 minutes, 26 seconds
5 hours, 11 minutes, 34 seconds
5 hours, 12 minutes, 26 seconds
5 hours, 12 minutes, 34 seconds
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Answer:
5h 11m 26sec
Step-by-step explanation:
7h 15m 12 sec
2h 03m 46 sec
-----------------------
5h 11m 26sec
Answer:
7h 15m 12s
-2h 03m 46s
...................
5h 11m 46s
Step-by-step explanation:
Enter the value for x that makes the equation 1/2 (4x – 8) + 3x = 36 true.
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Answer:
x = 8
Step-by-step explanation:
1/2(4x – 8) + 3x = 36
~Simplify left side
2x - 4 + 3x = 36
~Combine like terms
5x - 4 = 36
~Add 4 to both sides
5x = 40
~Divide 5 to both sides
x = 8
Best of Luck!
Rafael said 5 equals – 5. Is Rafael correct? Use the number line and words to support your answer.
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Answer: Rafael is incorrect
Step-by-step explanation: 5 is not equal to -5. It is the additive inverse, or negative reciprocal.
Answer:
No he is not because 5=5 when talking about absolute value I think sorry I couldn't show the number line
Step-by-step explanation:
I NEED HELP‼️
Select all relations that are functions.
{(3,2), (5,8), (2,-2)}
{(4,-2),(4,-3),(4,6)}
{(-1,2),(-2,2),(-3,2),(-4,2)}
{(-7,5).(6,-3).(5,8)}
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Answer:
All but the second one
Step-by-step explanation:
The rule of a function is that you can't have the same x values in an expression. You can have multiple y values but not multiple x values.
11 + 16 + 4 = ????????????
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Answer:
31! :D
Step-by-step explanation:
(My discord: TheDiamondDuck #9036)
If you want to join you can,
Good luck!!
God Bless!!
~DuffyDuck~
Find the value of x.
(Reposted)
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Answer:
one circle has a total angle of 360. Hence, 360-101= 3x+2+x-35
259=4x-33
292=4x
x=73 degrees
Having trouble,Whats 1/3 (-2/4)
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Answer:
-1/6
Step-by-step explanation:
im assuming you meant multiply them? if so then
1 -2 -2 -1
--- * --- = --- = ---
3 4 12 6
or
1/3=4/12 and -2/4=-6/12
4/12*-6/12=-24/144=-1/6
Answer:
-1/6
Step-by-step explanation:
just multiply 1/3x2/4=
and then in front of the answer put the negative sign
Give the slope of any line that is perpendicular to the line y = -1/8 x + 5
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Answer:
8
Step-by-step explanation:
To find a slope for a line that is perpendicular to another line, you simply need to take the negative reciprocal of the the original line's slope. In this case we are already given the slope as the coefficient to x: -1/8. The negative reciprocal of that is 8/1, or just 8.
Evaulate A+7 when a=4
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Answer:
11
Step-by-step explanation:
Plug in 4 for a and solve.
4+7 = 11
Answer:
4+7=11
Step-by-step explanation: