Answer:
Step 1: Simplify both sides of the equation.
−2−3a=−23
−2+−3a=−23
−3a−2=−23
Step 2: Add 2 to both sides.
−3a−2+2=−23+2
−3a=−21
Step 3: Divide both sides by -3.
−3a−3=−21−3
a=7
1) 4w - 34 = 2
2) p/8 - 7 = -6
3) 11 + r/9 = 4
4) 18 = 5h - 2
5) -1m + 14 =-2
Show your work please
Please help as soon as possible! THIS IS 45 POINTS
For the answer I find most helpful and easy to understand, I will mark Brainliest.
Ima try this one more time
Roller Coaster Crew
Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track.
Part A
The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function.
1. Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has four intercepts. Kelsey argues the function can have as many as three zeros only. Is there a way for the both of them to be correct? Explain your answer.
2. Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
3. Create a graph of the polynomial function you selected from Question 2.
Part B
The second part of the new coaster is a parabola.
4. Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.
5. Create a graph of the polynomial function you created in Question 4.
Part C
6. Now that the curve pieces are determined, use those pieces as sections of a complete coaster. By hand or by using a drawing program, sketch a design of Ray and Kelsey's coaster that includes the shape of the g(x) and f(x) functions that you chose in the Parts A and B. You do not have to include the coordinate plane. You may arrange the functions in any order you choose, but label each section of the graph with the corresponding function for your instructor to view.
Answer:
See Explanation
Step-by-step explanation:
Part A
Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for the both of them to be correct? Explain your answer.Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for the both of them to be correct? Explain your answer.
Yes, they both can be correct. Ray is correct because you can have 4 intercepts. Only 3 can be zeros and 1 can be the Y-Intercept.
Part A - 2
Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
The zeros of function g(x)= x^3-x^2-4x+4 is -2,2, and 1. The other key features of polynomial functions include end behavior, Y- intercept and the axis of symmetry, and the vertex.
Provide a sketch of g(x), Label or identify the key features on the graph.
Part b
pART B
Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.
The direction of the parabola would be both sides going up because they are the leading coefficient and the degree is both even and positive numbers. The zeros are 1.5 and -2. The Y-intercept is 6
The axis of symmetry is -1.75 and the vertex is 1.75 and 12.37
X= B/2A
X=7/2(2)
X= 1.75
2x^2+7X+6
2(1.75)^2+7(1.75)+6
2(-3.06)-12.25+6
-6.12-12.25+6
=12.37
The safety inspector notes that Ray also needs to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of the parabola, showing your work, so Ray can include it in his coaster plan.
Create a graph of the polynomial function you created in Question 4.
TOPIC 3
part c
Now that the curve pieces are determined, use those pieces as sections of a complete coaster. By hand or by using a drawing program, sketch a design of Ray and Kelsey's coaster that includes the shape of the g(x) and f(x) functions that you chose in the Parts A and B. You do not have to include the coordinate plane. You may arrange the functions in any order you choose, but label each section of the graph with the corresponding function for your instructor to view.
Ray and Kelsey's new amazing roller-coaster!
Part d
*Reporter: So I hear you guys have this amazing roller-coaster that will be ready soon? Tell us all about it.
*Kelsey: Yes, We are so excited! We really took our time to make sure we build the best roller coaster ever and to see that Ray made sure everything is ready it's so wonderful and I know everyone will love it.
*Ray: Yea Kelsey is right we certainly took our time with it, It's gonna be the most epic ride yet! so everyone tell your friends!
*Reporter: Well we all can't wait to see it and take a ride!
Hope You Helped It :)
please help!! I really don't want to get this one question wrong and mess up my score :(
Answer:
12^9 is the correct answer to the question
Step-by-step explanation:
12^8+(-)8-(-)9=8-8+9=9
12^9
Answer:
12^9
Step-by-step explanation:
12^8 * 12^-8
according to law of integers, since both numbers are the same we can work with their roots, and the multiplication would be addition;
8+(-8)= 0
(12*12)^0 ----numerator
(denominator)
12^-9
division = subtraction in the laws of integers
0-(-9)= 0+9=9
(12*12)/12= 12
=12^9
please help will give brainliest due in 10 minutes!!
Answer:
decimal form 0.0000476
standard notation 0.00001 and 4.76 • 0.00001 = 0.0000476
word form four-hundred-seventy-six ten millionths
PLZ help (question & answers are below)
Answer:
A
Step-by-step explanation:
The formula for the volume of a cone is [tex]V =\frac{1}{3} \pi r^{2} h[/tex], where r is the radius of the base and h is the height.
In this figure, the cone's radius is 4 and the cone's height is 8.
Substituting in the values, we get:
[tex]V =\frac{1}{3} \pi (4)^{2} (8)[/tex]
Using 7 instead of 8 here would be a mistake, as 7 refers to the height of the cylinder below it.
36 POINTS!
Please answer ALL questions! I really need to get this done. Thank you so much if you do. <3
Answer:
20.40*0.87=24.7080what is 40%of 9040/100*90=36That I was able to seeAnswer:
I'll try answering as much as I could and can see :)
Step-by-step explanation:
1) 6/11 ÷ 2/5 = 15/11 or 1.3636... or 1 4/11 as a mixed number.
2) 8,299 ÷ 43 = 193
3) 28.40 x 0.87 = 24.708
4) 3,948.99 + 489.08 = 4438.07
5) What is 40% of 90 = 36
6) Greg kicked the soccer ball 75 feet. How many yards did he kick the ball? 25 yards
7) Write an expression that represents 72 divided by n plus 4? 72/n+4
8) How many feet are in 3 miles? 15840
hey this is all I can do and see but I hope this helps. p.s. I really need brainliest :)
8 x [tex]10^{-3}[/tex] is how many times as great as 4 x [tex]10^{-6}[/tex]
Simplify 7b + 4 + b + 3
Answer:
8b + 7
Step-by-step explanation:
Add like terms.
7b + b (same as 1b) = 8b
4 + 3 = 7
who ever gets this right will get a brainlest
Fill in the blanks
[tex]1. (-2) x (-4.5)
2. (-8.7) x (-10)
3. (-7) x ? = 14
4. ? x (-10) = 90[/tex]
Marco needs $57 to buy new basketball shoes. If Marco earns $3 per day working and already has $12 saved, which equation shows how many days Marco must work before he can afford the shoes?
A. 3d = 57
B. 3d - 12d = 57
C. 3d = 45
D. 3d - 12 = 57
Whoever get's it correct will get brainliest
help me really quick plz
Answer:
at the end
Step-by-step explanation:
What do I put in the light orange box?
Answer:
the exact form for that is 41/42
Answer: 41/42
Step-by-step explanation:
1. You are given the mixed numbers 4 35/42 and 3 36/42. Multiply the whole number by the denominator and add it to the numerator. In this case, do 4*42, which gives us 168, which when added to 35, gives us 203/45. Doing this for 3 36/42 gives us 162/45, by multiplying 3 by 42, and then adding 36 to the result.
2. Subtract 203 - 162, which is 41. With a denominator of 42, this gives us 41/42.
please help really really need this it's on topic systems of equation
Please Help I Will Give You 5 Stars And Brainilest
The Options For The First Choose Box Are Yes/No
The Options For The Second Choose Box Are Side Lengths/Sides/Angles/Coordinates
The Options For The Third Choose Box Are Are/Are Not
Help me please with these
Answer:
d
Step-by-step explanation:
please help due in 10 minutes will give brainliest!
Answer:
where is the question?
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST!!!
(Picture below)
What is m
A. 34°
B. 37°
C. 72°
D. 107°
Answer: the answer would be C C. 72°
Step-by-step explanation:
∠r =
plzz help due tm !!
Answer:
r = 62
Step-by-step explanation:
Angles add up to 180 so:
r + r + 56 = 180
2r + 56 = 180
2r = 180 - 56
2r = 124
r = 62
4. The school store offers a discount for
purchases made during lunchtime. The usual
price of pencils is $0.25. The discount price is
$0.20. How much can you save by buying 6
pencils during lunchtime?
1. Jason rented a canoe for $6 per hour plus a
$15 fee. He was out on the lake for 3 hours.
How much did he pay for the canoe rental?
Can you please help me ASAP thxs.
Answer:
32in= 2ft 8in
77in=2yds 5in
144in=4 yd
3 yards=9ft
Step-by-step explanation:
4 yards=4×36=144in
9ft=9×12=108in
3yards=3×36=108in
2ft 8in=24+8=32in
2yards 5in=72+5=77in
hope it helps
have a great day!!
2 × (5 × 6) =
Enter the correct product in the box.
(2 × 5) × 6 =
Answer:
60
Step-by-step explanation:
(10) x 6=?
10 x 6=60
If b is the measure of an acute angle and cos b = 0.75, then:
(1) sin(b - 90°) = 0.75
(2) sin(90° - b) = 0.75
(3) sin b = 0.75
(4) sin b = 0.25
Answer:
option (2)
Step-by-step explanation:
Using the cofunction identity
cosx = sin(90 - x) , then
cosb = sin(90 - b) = 0.75
Please help! The solution has to be the ordered pair where two lines intersect
Answer:
(-2,-5)
Step-by-step explanation:
equation form: x=-2,y=-5
the lines intersect
help me please..........
Answer:
12 ( B )
Step-by-step explanation:
mode means the number that appears the most often
in that case the mode is 12 ( B )
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
1. 1/6
2. 2 5/12
3. 5 1/2
4. 5/12
5. 1/4
6. 4 4/5
10. 38
11. 0.4
12. 2.06
Hope this helps :)
Answer:
1. 1/6
2. 2 5/12
3. 5 1/2
4. 5/12
5. 1/4
6. 4 4/5
10. 38
11. 0.4
12. 2.06
Step-by-step explanation:
Have a great day
If Dakota lives 1,500 miles from school. She leaves for school walking at a speed of 60 meters per minuite. Write an equation for her distance D in meters from school after she walks for T minuites. How far is Dakota from school if she has been walking for 3 minuites?
expression 9(2j + 7 + 5j).:
You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.
Answer:
9(7j + 2 + 5j)
Step-by-step explanation:
i mean this is an option its one of the easier ones tho
The line plot represents the amount of water that is poured into six beakers. What is the total amount in ounces of all the water? Explain how you got your answer. Your answer should be as a mixed number in simplest form.
Answer:
69
Step-by-step explanation:
just cant explain this
Answer:
1 7/8 ounces
Step-by-step explanation:
Simple addition:
1/8 + 1/8 = 2/8 = 1/4
1/4+ 1/4 = 2/4
3/8 + 3/8 = 6/8 = 3/4
2/4 + 3/4 = 5/4 = 10/8
10/8 + 5/8 = 15/8 = 1 7/8 oz.
can u guys answer the photo that i put?