[tex]y + 7 = - \frac{2}{3}(x + 6) \\ [/tex]
[tex]y + 7 = - \frac{2}{3}x - 4 \\ [/tex]
Subtract sides -7
[tex]y = - \frac{2}{3}x - 4 - 7 \\ [/tex]
Thus ;
[tex]y = f(x)= - \frac{2}{3}x - 11 \\ [/tex]
So the correct answer is (( A )) .
Amaya is standing 30 ft from a volleyball net. The net is 8 ft high. Amaya serves the ball. The path of the ball is modeled by the equation y=-0.02(x-18)^2+12, where x is the ball's horizontal distance in feet from Amaya's position and y is the distance in feet from the ground to the ball. a. How far away is the ball from Amaya when it is at its maximum height? Explain. b. Describe how you would find the ball's height when it crosses the net at x=30. a. How far away is the ball from Amaya when it is at its maximum height? Explain. The ball is nothing ft away from Amaya when it is at its maximum height. Use the ▼ y-coordinate x-coordinate of the vertex.
Answer:
a) 30feet
b) 9.12feet
Step-by-step explanation:
a) Given the path of the ball is modeled by the equation y=-0.02(x-18)²+12, where;
x is the ball's horizontal distance in feet from Amaya's position
y is the distance in feet from the ground to the ball.
The ball will be at the maximum height when dy/dx = 0
Differentiate the function:
dy/dx = 2(-0.02)(x-18)^(2-1)+0
dy/dx = -0.04(x-18)
Equate the resulting expression to zero and find x as shown;
-0.04(x-18) = 0
Open the parentheses
-0.04x+0.04(18) = 0
-0.04x+0.72 =0
-0.04x = -0.72
x = -0.72/-0.04
x = 18ft
Hence the ball is 18ft away from Amaya when it is at its maximum height
b) To get the balls height y when x = 30, we will substitute x = 30 into the equation given and calculate the value of y as shown:
y=-0.02(x-18)²+12
y = -0.02(30-18)²+12
y= -0.02(12)²+12
y = -0.02(144)+12
y = -2.88+12
y = 9.12 feet
Hence the Ball's height is 9.12feet when it crosses the net at x = 30.
Shari is planning a 450-mi car trip. Her car can travel about 39 mi on a gallon of gasoline. Gasoline costs $1.89/gal. About how much will the gas cost for her trip?
Tamar used the algebraic method to convert the repeating decimal number to 2.45 to a fraction. Her first two steps are shown below. Step 1: x=2.45. Step 2: 100x=245.45. What should be Tamar’s next step
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
x = 2.4545... → (1)
100x = 245.4545... → (2)
Subtract (1) from (2) eliminating the repeating decimal
99x = 243 ( divide both sides by 99 )
x = [tex]\frac{243}{99}[/tex]
(Click on the photo and the 60 and 90 is the rest of the window picture shown.)
Please help!!
Answer:
kind of an estimate but it is probably 220cm, if not then its 175cm, couldn't really see the bottom part of the window
Step-by-step explanation:
You take a cab to a restaurant. The final bill of $31.72 included an 18% tip for the driver. What was the original bill?
Identify an equation in point-slope form for the line perpendicular to
y=-1x +11 that passes through (4, -8).
O A. y +8 = 2(x-4)
B. y - 4 = 2(x+8)
O C. y+8 = {(x-
-4)
O D. 7-8 = {(x + 4)
Answer:
C
Step-by-step explanation:
Perpendicular lines have the exact opposite slope of the other equation.
So the slope will be x or 1x. Plug in
-8 = 1(4) + b (b represents y-intercept) like y=mx+b
-8 = 4 + b (subtract 4 on both sides)
-12 = b
The equation is y = x - 12
C
solve
y + 8 = x - 4 (subtract 8 on both sides)
y = x - 12
Which equation best represents the linear function graphed below? CAN YOU BE REALLY QUICKLY THIS IS A MAJOR GRADE AND I ONLY HAVE 90 MINUTES
Answer:
y+1= 1/4(x-4)
Step-by-step explanation:
y+1 = 1/4(x-4)
y+1 = 1/4x-1
y = 1/4x -2 -which is the equation of the line
Help me, please! ( Thank You... )
Answer:
is this 9th grade math????
Step-by-step explanation:
1
1. Find the values of the
angles x, y and z.
40°
25°
z
у
Answer:
z = 40° (V. O. A)
Now find x
40 + 25 + x = 180(A. S. P)
65 + x = 180
x = 180 - 65
x = 115°
Now find y
x = y (V. O. A)
Y = 115°
So angles are
X = 115°
Y = 115°
Z = 40°
Hope this helps, have a great day, have a wonderful weekend and stay safe!
Also Happy Halloween! :) :D :3
The owner of a health club decides to reduce the $35 membership fee by $5. What is the approximate percent decrease in the fee?
A. The percent decrease is approximately 0.14%.
B. The percent decrease is approximately 0.85%.
C. The percent decrease is approximately 14%.
D. The percent decrease is approximately 85%
I’m dumb but I need an answer quick (will try to give brainliest) or however you spell it
Answer:
I'm going for A
Step-by-step explanation:
Answer:
Answer is gonna be c
Step-by-step explanation:
A company donates money to a charity every time the baseball team hits a home run. They donate $100 for every home run. Write an equation for the situation,
where y is the total amount of money donated and x is the number of home runs hit.
The equation is y=
Answer:
y = 100x
Step-by-step explanation:
Answer:
y=100x
Step-by-step explanation:
could some one please help I'm not that good with math
Answer:
D and E
Step-by-step explanation:
It is acute because all angles are under 90 degrees. This means that it cannot be F, obtuse. It cannot be A because A scalene triangle is a triangle in which all three sides have different lengths. It cannot be B either because it has 3 sides of equal angles. It cannot be right because non of the angles are 90 degrees. It is equilateral.
Hope this helps.
I don’t understand how do you do this I have a assignment for tommorow some one help
Answer:
500 ML
Step-by-step explanation:
for every 1 liter, it is 1,000ML
so 1 L / 2 is 500ML
and 500 on your beaker is located in between 600 and 400
Hope this helps :)
Andrea receives a $40 gift card to use at a town pool. It costs her $8 per visit to swim. A
function relating the value of the gift card, v, to the number of visits, n, is v(n) = 40 - 8n.
a. Identify a reasonable domain of the function. Explain why you chose that
domain. (What are reasonable times to visit the pool?)
b. Given that domain, what is the range of the function?
Answer:
The value of the gift card = v = $40
The visit to the skate cost = $8
The number of visits = n
∴ n = the value of the gift card over the cost of one visit to the skate
∴ n = v/8 = 40/8 = 5
Step-by-step explanation:
The general function for relating the value of the gift card, v, in terms if the number of visits, n. ⇒⇒⇒ v = 8n
Can somebody plz answer all of these right thx!!!<3
(Only if u remember)
WILL MARK BRAINLIEST !
Answer:
+4 < +6-2 > -3+2 > -1-11 < -8-2 < +6+9 > +8
Simplify this radical.
V84
Answer:
[tex]2\sqrt{21}[/tex]
Step-by-step explanation:
84/4=21
Square root of 4=2
[tex]2\sqrt{21}[/tex]
Cherries are on sale at the grocery store at a price of $5 for 2 pounds. Oscar buys 3
pounds. If he is charged the sale price for the cherries, how much will Oscar pay?
Answer:
$7.5 = 3 pounds
Step-by-step explanation:
1. If $5 is equal to 2 pounds of cherries, you want to find what 1 pound of cherries cost. You should divided 5 by 2 and 2 by 2 to find what 1 pound of cherries cot.
2. That means that 1 pound of cherries cost $2.5.
3. Now we want to find how much money 3 pounds cost, so you should multiply the 2.5 and the 1 by 3.
4. Now that gets you to $7.5 for 3 pounds of cherries.s
Solve for the value of s
The two angles are vertical angles, which mean they are the same.
6s-2 = 94
Add 2 to both sides:
6s = 96
Divide both sides by 6:
S = 96/6
S = 16
i need help pleaseeee.
Answer:
problem 9
x is 45 and y is 20
problem 10
x is 20 and y is 10
problem 11
x is 13 and y is 12
Answer:
Step-by-step explanation:
2,3,5,7,11,13 conjecture
Answer:
The primes up to 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47. The sequence of gaps—the differences between each prime and the next—is 1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4, 2 and 4. The number 1 appears only once because all primes except for 2 are odd. The rest of the gaps are even numbers.
The conjecture which could be inferred from the sequence is that it is a list of prime numbers.
From the sequence given : 2, 3, 5, 7, 11, 13
All values in the sequence are prime numbers.
Prime numbers are numbers which have only two divisors which are 1 and the number itself.
Divisors of :
2 = 1 and 2
3 = 1 and 3
5 = 1 and 5
7 = 1 and 7
11 = 1 and 11
13 = 1 and 13
Hence, the conjecture which could be inferred from the sequence is that, the numbers are prime numbers.
Learn more : https://brainly.com/question/9315685
What supplies electricity in a circuit
A.the source
B.the conductor
C.the insulater
D.the wires
Answer:
B.the conductor
Step-by-step explanation:
This is the equation and we need to solve for y 2x+y=7
Answer: y = -2x + 7
Step-by-step explanation:
Answer:
y= -2x+7
Step-by-step explanation:
We need to keep y on one side of the equation.
2x+y= 7
=2x -2x
y= -2x+7
Hope this helps!
hellllppppp me please
9514 1404 393
Answer:
positive infinitynegative infinityStep-by-step explanation:
The function has a positive leading coefficient (1/3) and is of odd degree (3). These conditions mean the sign of the end behavior of the function will match the sign of x.
x → ∞, m(x) → ∞
x → -∞, m(x) → -∞
does anyone know this? will give brainlyest to first person to get it right! the second person who puts an answer (doesn't matter if it wrong) or just type whatev!
Answer:
bucket one- 1:28
bucket two- 1:31
Step-by-step explanation:
you have to subtract 5- the number then you have to add it to the time remember 60 mins in a hour
Answer: The first time will be at 1:28 P.M.
The second time will be at 1:31 P.M.
Step-by-step explanation:
Emilio is helping his uncle with some chores. His unde gave him $5 and will pay him an additional $3 for each chore he completes. Which inequality can be used to
determine x, the number of chores Emilio must complete to earn at least $26?
A. 3.1 +5 > 26
B. 3.3 +5 < 26
C. 3.3 + 5 > 26
D. 3x +5 < 26
Answer:
the correct option is B
I hope my answer is helpful to you
please give me five star rating
how will you know the nature of the roots of the given quadratic equation?
Hi! here your answer
Answer:
If D≥0, then the roots are real and distinct.
If D=0, then the roots are real and equal.
If D≤0, then no real roots exist
Hope you understood!
Solve for x:
(x + 20)/2
= 3x
A: x = 10
B: x = 4
C: x = -14
D: x= -17
Answer:
x=4
Step-by-step explanation:
Answer:
B) x=4
Step-by-step explanation:
HELP PLEASE!!! ASAP PLS!!
24 divided by 7872
PLEASE HELP
Answer:
328 IF its 7,872 divided 24. If it 7,872 divided by 24 then it's 0.00304878049
Step-by-step explanation: Please mark as brainlest i really need to keep me motivated.
pls help ty!
Will give brainliest
Answer:
0.22h
Step-by-step explanation:
9.8 km/h is your speed, and you need to travel 2.2 km.
Time = distance / speed
(2.2km) / (9.8km/h)
0.22h