Answer:
The equation of the parabola is;
(y + 11)^2/120 = (x + 7)^2 + (y-5)^2
Step-by-step explanation:
Here, we are given the focus (-7,5) and the directix y = -11
We proceed to find the equation of the parabola
That would be in the form;
(y- mx - b)^2 /m^2 + 1 = (x- h)^2 + (y-k)^2
Let’s write the directix in the form y = mx + b
This shows that m = 0 and b = -11
Also h = -7 and k = 5
So let’s substitute;
(y + 11)^2 /(-11^2 + 1) = (x+7)^2 + (y-5)^2
= (y + 11)^2/120 = (x + 7)^2 + (y-5)^2
Answer:
★ The answer is down BELOW
EQUATION : (y + 11)^2/120 = (x + 7)^2 + (y-5)^2
Step-by-step explanation:
Hope you have a great day
There are 240 students going on a field trip. Each school bus can hold 48 students. Complete the equation to show which operation to use and how many school buses are needed.
Answer:
240÷48=5 no of buses needed, use division
The value of -4 - x is positive. What must be true about x ?
NEED HELP NOW!!!!!
Answer:
x is bigger than or equal to 5.
I need help please! dont guess please I really need the correct answer this is a test quesion1
Select the correct answer
simplify:
3 x 3^2 + 8 ÷ 2 - (4 + 3)
A. 30
B. 24
C. 23
D. 32
Answer: B
Step-by-step explanation:
Please help me!!! I feel sick and really want to go to bed so please help soon!! thank u!!!
Answer:
I think It is 8 as well, but not sure
Step-by-step explanation:
-4.6+5.3 help please thank you are the best
Answer:
0.7
Step-by-step explanation:
Answer:0.7
Step-by-step explanation: you can use a Calculator to help
A plumber charges a $45 fee to make a house call and then $25 for each hour of labor. The plumber uses an equation in the form y = m x + b to determine the amount to charge each customer.
What is the value of m in the equation?
Answer:
25
Step-by-step explanation:
It's what the others said, i'll change it if it's wrong
Based on the description of cost and the equation used, m in the equation would represent $25
m in the equation, y = mx + b, is the gradient. It is the figure that shows how much the cost will change in relation to time or activity.
In other words, m is the variable cost.
The only variable cost above is $25 which is variable because it increases per hour worked. m is there $25.
In conclusion, m is $25.
Find out more on the equation y = mx + b at https://brainly.com/question/9983274.
BRAINLIEST ANSWER!! ASAP
3(x+1)+6=-9
PLEASE EXPLAIN HOW YOU GOT THE ANSWER
Answer:
x=-6
Step-by-step explanation:
use distributive property on the () and times x and 1 by three
then you subtract 6 from both sides
then subtract three from both sides
then divide both sides by 3
your work would look like this:
3(x+1)+6=-9
3x+3+6=-9
3x+3=-15
3x=-18
x=-6
Hope this helps!
Answer:
X=6
Step-by-step explanation:
3(x+1)+6=−9
Step 1: Simplify both sides of the equation.
3(x+1)+69(3)(x)+(3)(1)+6=−9
(Distribute)
3x+3+6=−9(3x)+(3+6)=−9
(Combine Like Terms)
3x+9=−93x+9=−9
Step 2: Subtract 9 from both sides.
3x+9−9=−9−93x=−18
Step 3: Divide both sides by 3.
3x3=−18/3
x=−6
If i have 2 snickers and my friend takes one what would I have left?
A. 2
B. 1
c. All of the above
Answer:
1
Step-by-step explanation:
Is the following a function? (plz help ;-;)
Answer:
Yes this is a function
Step-by-step explanation:
For every inout there is one output
A large container holds 5 gallons of water. It begins leaking at a constant rate. After 10 minutes, the
container has 4 gallons of water left.
Part 1 out of 2
At what rate is the water leaking? Express your answer as a positive value.
The water is leaking at the rate of
gal/min.
Answer:
2/5 or 0.4
Step-by-step explanation:
This is simplified. For the question 4/10 .
7 is a solution to the equation 3n + 9 = 33.
true or false
Answer:
false
Step-by-step explanation:
3(7) = 21+9 = 30
Answer:
False
Step-by-step explanation:
Hope This Helps!!!
Find the domain and range of the function represented by the graph. Select all that apply.
What is the range
Answer:
Domain: [-2, 0, 2, 4]
Range: [3]
Step-by-step explanation:
The domain of the function are all values of x that are plotted on the horizontal axis (x-axis), while the range are the corresponding y-values plotted on the vertical axis (y-axis).
Therefore,
Domain of the function = [-2, 0, 2, 4]
Range of the function = [3] (only 1 possible value of y can be seen as plotted on the gray]
whats the answer and how
Answer: its c or 35
Step-by-step explanation: because at 10 salespeople its 40, so 9 salespeople is 35
select all input values for which g(x)=8
choose all that apply
a)x=-4
b)x=6
c)x=9
d) none of the above
picture of graph:
Answer:
a. x = -4
c. x = 9
Step-by-step explanation:
Values of g(x), output values, are plotted on the y-axis, while the corresponding x values, input, of the function are plotted on the x-axis.
We are to determine all possible input values (x-values) that will give us an output value, g(x) = 8.
On the graph, look at the point where y = 8, on the y-axis. When y = 8, we have two possible values of x. They are -4, and 9.
Thus:
g(-4) = 8
g(9) = 8.
The possible input values for which g(x) = 8, are x = -4, and x = 9.
help please, i will mark you brainliest!!
Answer:
b
Step-by-step explanation:
another one guyssslol
Help ASAP Use the parabola tool to graph the quadratic function f(x)=x2−12x+27.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
2 x-intercepts at 3 and 9
Step-by-step explanation:
x^2-12x+27=0
(factoring)
(x-3)(x-9)=0
this tells us that there is going to be a x-intercept at both 3, and 9, and that there is no stretching of it. It would look like this.
You are renting a beach house for the summer. The cost of renting the beach house plus the one-time security deposit is represented by the equation y = 151x + 575 , where represents the number of days that the beach house is rented and y is the total cost of the rental. What is the cost of the security deposit ?
Answer:
The security cost is 575
Step-by-step explanation:
Given
[tex]y = 151x + 575[/tex]
x = days
y = cost
Required
Determine the security deposit
From the equation, we understand that
x represent days:
This implies that
151x represent the payment for x days.
So, the security cost is 575
Two fitness clubs are asding new members. Fitness club A cutrently has 450 memebers and adds 15 nee memeners each month. Fitness club B currently has 400 members amd adds 25 new members each month. After how many months will fitness club A and B have the samr number of members?
Answer:
It will take 5 months for the two fitness clubs to have the same number of members
Step-by-step explanation:
Let the number of months it takes fitness club A and B to have the same number be = x
For the two clubs to have the same number in x months, that means we can set up an equation as follows
450 +15x = 400 + 25x
Grouping like terms
450 - 400 = 25x -15x
50 = 10x
x= 5
Therefore, it will take 5 months for the two fitness clubs to have the same number of members
Can someone please help me asap I’ll mark brainlist?!?!
Answer:
40
Step-by-step explanation:
15/40 divided by 5= (15 divided by 5)/(40 divided by 5)= 3/8
Answer:
a = 40
Step-by-step explanation:
Cross multiply, then divide:
15 × 8 = 120120 ÷ 3 = 40I hope this helps!
please answer tell fast
Step-by-step explanation:
After travelling 3/4 distance on the circular track, radii of the circle will make right angle and the displacement would be equal to the hypotenuse of this right triangle. Which by Pythagoras theorem is given as:
[tex]displacement \\ = \sqrt{ {400}^{2} + {400}^{2} } \\ = \sqrt{160000 + 160000} \\ = \sqrt{2 \times 160000} \\ = 400 \times 1.414 \\ = 565.6 \: m \\ \\ distance \\ = \frac{3}{4} \times circumference \: of \: circle \\ = \frac{3}{4} \times 2\pi \: r \\ = \frac{3}{4} \times 2 \times 3.14 \times 400 \\ = 6 \times 314 \\ = 1,884 \: m[/tex]
What is 7 3/8 + 2 1/8
Answer:
9.5
Step-by-step explanation:
What is the value of 5 - 12?
Answer:
-7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
5-12=-7
hope this helps lol
Jeremy stands on the edge of a river and throws a rock into the water. The rock leaves his hand at a height 4 feet above the water. The rock reaches the highest point along its path when it is a horizontal distance of 28 feet from his hand and 17 feet above the water. Write a function to represent the height of the rock in terms of its distance from Jeremy’s hand.
Answer:
The height, h, of the rock as a function of the horizontal distance from Jeremy's hand is h = -13/784·(x - 28)² + 17
Step-by-step explanation:
The given parameters are;
The height of the rock above the water when it leaves Jeremy's hand = feet
The maximum height of the rock = 28 feet
The horizontal distance at maximum height = 17 feet
Therefore, the given coordinates of the maximum height = (28, 17)
The equation of a parabola in vertex form is f(x) = a(x - h)² + k
Taking the maximum point as the vertex of the parabola, we have;
(h, k) = (28, 17)
Substituting the values gives;
f(x) = a·(x - 28)² + 17
At x = 0, the height = 4, we have;
f(0) = 4 = a·(0 - 28)² + 17
4 - 17 = a×28²
-13 = 784 × a
a = -13/784
Therefore, the height of the rock, f(x) = h, as a function of the horizontal distance from Jeremy's hand is therefore;
f(x) = h = -13/784·(x - 28)² + 17
Which choice is equivalent to 6(y-3)+2y-2
A. 8y-20
B. 4y-20
C. 8y-5
D. 8y-16
Answer: its 8y-20
You need to rmove the parenthesis and combine like terms
Which set represents the same relation as the graph below?Which set represents the same relation as the graph below?
A coordinate plane has 7 points. The points are (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4).
StartSet (4, negative 5), (negative 2, negative 3), (Negative 2, negative 1), (0, 2), (3, 3), (5, 4), (negative 4, 6) EndSet
StartSet (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4) EndSet
StartSet (negative 5, 4), (negative 3, negative 1), (3, 3), (4, 5), (6, negative 4) EndSet
StartSet (4, negative 5), (negative 3, 2), (negative 1, 2), (2, 0), (4, 5), (6, 4) EndSet
Answer:
B; SECOND GRAPH
Step-by-step explanation:
Took the test
The set of ordered pairs that represents the same relation as the graph given is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).
What is a Relation?A relation is a relationship between the input (x-values) and output (y-values), which can be displayed on a graph on a coordinate plane on the vertical axis and the horizontal axis.
From the graph given as shown in the image attached below, the set that has same coordinate points as indicated on the graph is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).
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The Edison Lightbulb Company tests 5% of their daily production of lightbulbs. If 500 bulbs were test on Tuesday, what was the total number of bulbs produced that day?
Answer:
1,000 lightbulbs that day were tested
Step-by-step explanation:
If point C, shown on the coordinate plane below, is reflected over both axes to create C’, what will be the coordinates of C’
(-3, 2)
(3, -2)
(3, 5)
(-3, -2)
Answer:
(-3, 2)
Step-by-step explanation:
Answer: (-3,2) is the Answer.
Step-by-step explanation:
Mark me brainliest please!
Consider the graph of the sixth-degree polynomial function f.
Replace the values b, c, and d to write function f.
f(x)=(x-b)(x-c)^2(x-d)^3
Answer:
f(x)=(x-1)(x+1)^2(x-4)^3
Step-by-step explanation:
The zeros of the function are x=-1, x=1, and x=4, so its factors are x+1, x-1, and x-4.
The graph touches, but doesn’t cross, the x-axis at x=-1. So the factor x+1 is a repeated factor with an even multiplicity.
The graph crosses the x-axis at x=4, but with a little curve before and after it meets this point. So the factor x+4 is a repeated factor with odd multiplicity.
The graph crosses the x-axis at x=1 with no curve before or after. So the factor x-1 is not a repeated factor.
Therefore, function f is defined by f(x)=(x-1)(x+1)^2(x-4)^3.
The sixth-degree polynomial that shows in the graph is [tex]\rm f(x) = (x+1)(x-1)^2(x-4)^3[/tex] and this can be determined by evaluating the x-intercept of the given graph.
Given :
Sixth-degree polynomial -- [tex]\rm f(x) = (x-b)(x-c)^2(x-d)^3[/tex]
The following steps can be used in order to determine the value of b, c, and d:
Step 1 - Write the given sixth-degree polynomial.
[tex]\rm f(x) = (x-b)(x-c)^2(x-d)^3[/tex]
Step 2 - Observe the given graph and determine the x-intercept of the graph of the sixth-degree polynomial.
Step 3 - So, the x-intercepts that are the values of b, c, and d is given below:
b = -1
c = 1
d = 4
Step 4 - Substitute the values in the given sixth-degree polynomial.
[tex]\rm f(x) = (x+1)(x-1)^2(x-4)^3[/tex]
For more information, refer to the link given below:
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Find the difference quotient for f(x) = 3x2 – 12.
_x+_h
The difference quotient for f(x) = 3x2 – 12 is 6x + 3h
How to determine the difference quotient?The function is given as:
f(x) = 3x^2 – 12.
Calculate f(x + h)
f(x + h) = 3(x + h)^2 – 12
The difference quotient is then calculated using:
[tex]f'(x) = \frac{f(x + h) - f(x)}{h}[/tex]
This gives
[tex]f'(x) = \frac{3(x + h)^2 - 12 - 3x^2 + 12}{h}[/tex]
Evaluate the difference
[tex]f'(x) = \frac{3(x + h)^2- 3x^2}{h}[/tex]
Expand
[tex]f'(x) = \frac{3x^2 + 6xh + 3h^2- 3x^2}{h}[/tex]
Evaluate the difference
[tex]f'(x) = \frac{6xh + 3h^2}{h}[/tex]
Evaluate the quotient
f'(x) = 6x + 3h
Hence, the difference quotient for f(x) = 3x2 – 12 is 6x + 3h
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