a.
You start 3 feet from the motion detector and walk
slowly away from the motion detector.
(it’s A.)
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Starting 3 feet from the motion detector, you will be at the point (0, 3) on the graph.
A normal walking speed is about 3 mph, or about 4.4 feet per second. So, walking slowly may be something less than 2 feet per second. In the attached graph, we show a walking speed of about 4 feet in 10 seconds, a really slow speed. Since you're walking away, the distance is increasing with time.
What is the sum of the roots of the quadratic $4x^2 - 4x - 4$?
9514 1404 393
Answer:
1
Step-by-step explanation:
The sum of roots of quadratic ax^2 +bx +c = 0 is -b/a. Here, that means the sum of roots is ...
-(-4)/4 = 1
The sum of the roots is 1.
Answer:
1/2
Step-by-step explanation:
By Vieta's formulas, the sum of the roots of $ax^2 + bx + c$ is given by $\dfrac{-b}{a}$. For this quadratic, that value is
\[ \frac{-b}{a} = \frac{-(-4)}{4} = 1.\]
Since the sum of the roots is $1$, the average of the roots is $\boxed{\dfrac 1 2}$.
Alternately, we could factor $4$ out of every term of this quadratic, giving $4(x^2 - x - 1)$. Since $4 \cdot 0 = 0$, any number that is a root of $x^2 - x - 1$ will also be a root of $4(x^2 - x - 1)$. Thus, the problem can change to finding the sum of the roots of $x^2 - x - 1$.
Since the coefficient of the linear term is $-1$ and this is the opposite of the sum of the roots, we find that the sum of the roots is equal to $1$, and the average is $\boxed{\dfrac 1 2}$.
What is the value of the following expression?
(−81)(−9)
Answer:
(−81)(−9) = 729
Step-by-step explanation:
Multiply -81 by -9 and you get 729
Answer:
729
Step-by-step explanation:
The expression (−81)(−9) will give the value of 729. Step-by-step explanation: The given expression is (−81)(−9) .
For an activity in class, students used pieces of string to measure roads on a map. They used a map scale to determine the
distance between two cities. One group measured the distance between Fort Myers and Miami on a Florida state map. The string
distance was 7 inches, which represents a real-life distance of about 154 miles. Another group measured the distance between
Tampa and Orlando on the same map and found that distance to be 4 inches.
The students need to figure out what the distance is from Tampa to Orlando. They begin to set up the following table. Complete the
table for them.
Inches
Miles
What is the real-life distance to the nearest mile between Tampa and Orlando?
2 3 4 5 6
Next
Answer:
The real-life distance to the nearest mile between Tampa and Orlando is 88 miles
Step-by-step explanation:
String distance between Fort Myers and Miami = 7 inches
A real life distance between Fort Myers and Miami = 154 miles
So, 7 inches = 154 miles
[tex]1 inch = \frac{154}{7}=22 miles[/tex]
Scale : 1 inch = 22 miles
String distance between Tampa and Orlando = 4 inches
Using scale
The real-life distance to the nearest mile between Tampa and Orlando = [tex]4 \times 22 = 88 miles[/tex]
Hence The real-life distance to the nearest mile between Tampa and Orlando is 88 miles
HEY I NEED SOME HELP I'LL GIVE YOU 26 POINTS!!!!!!
Which of the tables represents a function?
Answer:
D
Step-by-step explanation:
:)
What is the result when 3x^3-x^2-4x+20 is divided by x+2?
Answer:x=-32
Step-by-step explanation:
Answer
[tex]3x ^{2} - 6x + 8 + \frac{4}{x + 2} [/tex]
Step-by-step explanation:
use synthetic division-
1. but all the coefficients in a box
2. put the divisor term equal to 0 so... x+2=0 ,x would have to equal negative 2 x= -2
3. drop the first coefficient
4. multiply the number outside the box by the number you just dropped and put it under the second coefficient. then subtract
5. keep repeating steps four
6. once youre done the last term below the box is your remainder and should be written as +remainder over divisor which in this case is x-2
7. everything is backwards soo the 8 would be your constant, the -6 is your x and 3 is your x^2 term.
also PLS mark brainliest :) <33
due to nght please help part 2 !
Answer:
t≤ 9
Step-by-step explanation:
3.5+4t≤ 39.5
subtract 3.5 from each side
4t≤ 36
divide each side by 4
t≤ 9
Answer:
t ≤ 9
Step-by-step explanation:
3.5 + 4t ≤ 39.5
3.5 + 4t - 3.5 ≤ 39.5 - 3.5
4t ≤ 36
4t ÷ 4 ≤ 36 ÷ 4
t ≤ 9
The coordinate grid shows points A through K Which points are solutions to the system of inequalities listed below
2x+y<10
2x-4y<8
Answer:
Step-by-step explanation:
Given the simultaneous inequality
2x+y<10 ....... 1
2x-4y<8 ....... 2
Subtract both equation from each other
(2x-2x)+(y-(-4y))<10-8
0+5y<2
y < 2/5
y < 0.4
Substitute the given value of y into 1;
2x+y<10
2x + 2/5 < 10
2x < 10 - 2/5
2x < 48/5
10x < 48
x < 4.8
Hence the solution to the inequality expressions is (4.8, 0.4)
find the product of 8 and 6
Could someone please help me with this problem please, 25 points and brainliest!
You put a barrier around the garden and cover it with a layer of mulch. The barrier costs $1.25 per foot. One bag of mulch covers 10 square feet and costs $3.00. How much do you spend?
Answer:
246.50
Step-by-step explanation:
Add each side which equale 58 then 58x1.25=72.50 then 58x3=174, 174+72.50=246.50
3x-6+4=-20
I need a break down on how to solve it
Answer:
x = -6
Step-by-step explanation:
So you need to start by simplifying the equation. Subtract 4 from both sides.
3x - 6 = -24.
Now, you can add the 6 to both sides.
3x = -18.
You can now divide by 3 to get x.
x = -6
HELP MEEEEEEEEEEEEEE!!!!!!
I hope this helps I don't know what method im sorry if it's wrong
Select the correct answer. 3 What is the decimal equivalent of 3/10 ? OA 03 O B. 0.03 OC. C. 0.3 OD. D. 0.33 O E. 0.003
Answer:
Step-by-step explanation:
0.3
CAN someone help me with this pls
WILL GIVE BRAINLIEST
Answer:
20 mins
Step-by-step explanation:
Answer:
20 mins
Step-by-step explanation:
ok first you divide 275 by 5 (so theh amount typed by the time)
them you get 55 (thats amount per min)
1100 divided by 55 so you get 20
20 minuets for that
The football team is losing the game in the fourth quarter. There are still 6,700
fans in attendance but 2,500 fans have already left. What was the total
attendance at the game before the fans began to leave?
Once a large pink ribbon, the sign of the fight against breast cancer, was erected out of pink post-it notes on a billboard. If the area of the rectangular billboard covered by the ribbon was approximately 3420 square feet, and the width of the billboard was approximately 57 feet, what was the height of this billboard?
Answer:
60 feet
Step-by-step explanation:
The shape of a billboard = Rectangle
Area of a rectangle = Length(Height) × Width
Area = 3420 square feet
Width = 57 feet
Height = Area of the billboard/Width
Height = 3420 ft²/57 ft
Height = 60 feet
Therefore, the height of the billboard is 60 feet
Two pizza parlors in town are offering special rates to attract group reservations. Stella’s Pizza charges $16.00 room rental fee and an additional $8.00 for each pizza ordered. Napoli’s Pizza charges $24 for the room rental fee and an additional $6.00 for each pizza ordered. Compare the costs of holding an event at the two pizza parlors.
Write and solve a system of linear equations to model the cost of an event at each pizza parlor.
a. Write an equation to represent the cost for a party at Stella’s Pizza.
b. Write an equation to represent the cost for a party at Napoli’s Pizza.
c. What is the solution to the system of equations? (label your answers)
Answer:
x = 2 pizzas
Step-by-step explanation:
Let
x = number of pizza ordered
Stella’s Pizza charges $16.00 room rental fee and an additional $8.00 for each pizza ordered.
cost for a party at Stella’s Pizza = 16 + 8x
Napoli’s Pizza charges $24 for the room rental fee and an additional $6.00 for each pizza ordered.
cost for a party at Napoli’s Pizza = 24 + 6x
Equate the cost for a party at Stella’s Pizza and cost for a party at Napoli’s Pizza
16 + 8x = 24 + 6x
8x - 6x = 24 - 16
2x = 8
x = 8/4
= 2
x = 2
Help please, it’s the last question
Answer:
x=5 y=130
Step-by-step explanation:
27x-5 and 11x-5 = 180
27x-5 + 11x-5 = 180
38x- 10= 180
38x= 190
x=5
11(5)-5 = 50
50 + y= 180
y= 130
1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000x34222222222222222222222244444444444444444444444433333333355555555566666
Answer:100000000000000000000000000000 quint zillion
Step-by-step explanation:
Answer:
3.422222e+121
Step-by-step explanation:
gotchu bro
At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least 16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.
Answer:
4 is the maximum number of ride tickets she can buy
Step-by-step explanation:
Here, r represents the number of ride tickets and f represents number of food tickets.
The system of inequalities is given as:
r+f\geq 16 ....[1]
4r+2f\leq 40 .....[2]
To solve Mathematically:
Multiply equation [1] by -2 we have;
-2r-2f \leq -32 .....[3]
Add equation [2] and [3] we have;
2r \leq 8
Divide both sides by 2 we have;
r \leq 4
Since r must be less than or equal to 4.
You can also see the graph of the given system of inequalities as shown below.
The intersection point is, (4, 12)
Therefore, the maximum number of ride tickets she can buy is, 4
Answer:
A. 4
Step-by-step explanation:
edg2021 hope this helps :>
Suppose the x-intercept of f(x) is (p,0) and the x-intercept of g(x) is (q,0). What is the value of p+q?
1) 0
2) 2
3) 1
4) -1
Answer:
im pretty sure its -1 because thats the answer i had before my answers didnt save n the same test you had. im not 100 percent sure though
Step-by-step explanation:
Select ALL the correct answers,
Which data sets could be used to create the box plot below?
0
2
4
6
8
10
12
14
16
10, 6, 9, 14, 1, 6, 12,7
II
6, 8, 11, 1, 7, 14, 10
14, 10, 6, 9, 11, 8, 1
4, 11, 8, 12, 1, 6, 14
7, 9, 11, 1, 6, 7, 14,8
Answer:
The second and third
Step-by-step explanation:
Answer:
6, 8, 11, 1, 7, 14, 10, and 10, 6, 9, 14, 1, 6, 12, 7
Step-by-step explanation:
Two girls were competing in 100 meter dash. The first girl ran it in 14.47 seconds. The second girl ran it in 13.88 seconds. How much faster was the second girl than the first?
Answer:
the second girl was. 59 seconds faster than the first girl.
Step-by-step explanation:
14.47-13.88= .59
How would you find the solutions to this quadratic equation y=2x^2-6x-8
Answer:
Factoring.
General Formulas and Concepts:
Algebra I
FactoringFinding roots of quadraticsStep-by-step explanation:
Step 1: Define
y = 2x² - 6x - 8
0 = 2x² - 6x - 8
Step 2: Find roots
Factor 2: 0 = 2(x² - 3x - 4)Factor: 0 = 2(x - 4)(x + 1)Find roots: x = -1, 4And we have our final answer!
Answer:
first take 2 out of the equation
y=2(x^2-3x-4)
then factor
y=2(x-4)(x+1)
then solve
(x-4)=0 . (x+1)=0
x=4 . x=-1
g. r. a. p. h. 24x-6y=18.
Netflix recommendations??
Answer:
Here wacth this chico bon bon very good show
Step-by-step explanation:
its good
Answer:on my block
big mouth
what is the point on a graph at which the graph crosses thd y-axis
Answer:
y intercept
Step-by-step explanation:
The [y-intercept] is the point where the line crosses the y-axis. Notice that the y-intercept occurs where x = 0, and the x-intercept occurs where y = 0.
Answer:
Y-intercept
Step-by-step explanation:
That is another name for it
There is a fee to rent a moving truck from lucky trucks plus $20 per hour Emily route rented a truck for seven hours and pay $200 what is the fee
Answer:
her fee is $140 and she gets back $60
Step-by-step explanation:
step 1: multiply $20 by 7, which gives you 140
step too if you need how much money she gets back take 140 from 200 and you get $60
10. Model with Math Graph the equation y= -5x on the coordinate plane.
Answer:
Step-by-step explanation:
i have no idea how to do this help please
Answer:
1. cos70°. 2. cos57°
3. cos45°. 4. cos35°
5. cos30°
Step-by-step explanation:
sin20°≈0.342. 0.342≈cos70°
sin33°≈0.545. 0.545≈cos57°
sin45°≈0.707. 0.707≈cos45°
sin55°≈0.819. 0.819≈cos35°
sin60°≈0.866. 0.866≈cos30°
