Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.
Answers
Answer:
The answer is B
Related Questions
A sofa is on sale for $513, which is 24% less than the regular price.
What is the regular price?
Answers
Answer:
$675
Step-by-step explanation:
If it is 24% less than the regular price then it is 76% of the original price
$675 multiplied by 0.76 is $513
On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).
Which point is on the line that passes through point Z and is perpendicular to line AB?On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).
Which point is on the line that passes through point Z and is perpendicular to line AB?
(–4, 1)
(1, –2 )
(2, 0)
(4, 4)
Answers
Answer:
(–4, 1)
Step-by-step explanation:
1. Calculate the slope of AB
m₁ = (y₂ - y₁)/(x₂ - x₁) = (-4 - 4)/(0 -(-2))= -8/2 = -4
2. Calculate the slope of the perpendicular line
m₂ = -m₁ = ¼
3. Calculate its y-intercept
Point Z, (0,2), is the y-intercept.
4. Write the equation for the line
Insert the values of m and b
y = ¼x + 2
5. Check the points
(a) (-4,1)
1 = ¼(-4)+ 2
1 = -1 + 2
1 = 1
TRUE
(b) (1,-2)
-2 = ¼(1) + 2
-2 = ¼ + 2
-2 = 2¼
FALSE
(c) (2,0)
0 = ¼(2) + 2
0 = ½ + 2
0 = 2½
FALSE
(d)
4 = ¼(4) + 2
4 = 1 + 2
4 = 3
FALSE
Only (-4,1) is on the perpendicular line.
The diagram shows the line going through AB in red and the perpendicular line in purple.
Answer:
-4,1
Step-by-step explanation:
whats is a thousode divided by 32
Answers
Answer:
31.25
Step-by-step explanation:
Answer:
31.25 is right.
Step-by-step explanation:
There are 120 people in a sport centre. 78 people use the gym. 46 people use the swimming pool. 45 people use the track. 21 people use the gym and the pool. 16 people use the pool and the track. 24 people use the gym and the track. 9 people use all three facilities. A person is selected at random. What is the probability that this person uses at least 2 facilities?
Answers
9514 1404 393
Answer:
43/120 ≈ 0.3583
Step-by-step explanation:
Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...
21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities
The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...
43/120 ≈ 0.3583
_____
The given numbers add up as follows:
Gym only: 42
Pool only: 18
Track only: 14
Gym and Pool only: 12
Gym and Track only: 15
Pool and Track only: 7
Gym and Pool and Track: 9
No facilities: 3
Sydney wants to use a 10-ft ladder to get to a window 8 feet above the ground. At what angle with the ground does the ladder need to be set?
Answers
Answer:
The angle is 53.13 degrees
Step-by-step explanation:
In this question, we are to calculate the angle to which a ladder is to be set to get to a window.
Now, looking at this, we can picture a triangle where the length of the ladder represents the the hypotenuse while the angle we are considering makes the height of the room from the floor.
Please check attachment for picture of triangle
Since we are considering the hypotenuse and the opposite, the mathematical term we would be using is the sine.
Sine of an angle = length of opposite/length of hypotenuse
Sine angle = 8/10
since angle = 8/10
angle = arc sin 0.8
angle = 53.13 degrees
find the standard form of 23000000
Answers
Answer:
[tex] = 2.3 \times {10}^{7} \\ [/tex]
Step-by-step explanation:
[tex]23000000 \\ = 2.3 \times {10}^{7} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X 5 the number of batches ordered by a randomly chosen customer, and suppose that X has pmf. Compute E(X) and V(X). Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.
Answers
Complete Question:
A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the pmf shown in the table below. Compute E(X) and V(X).
Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.
NOTE: The pmf is shown in the file attached
Answer:
Expected number of batches, E(X) = 2.0 batches
Variance of batches, V(X) = 0.8 batches²
Expected number of pounds left, E(Y) = 90 lb
Variance of pounds left, V(Y) = 20 lb²
Step-by-step explanation:
The company has 100 batches and it sells to customers in 5 lb batches. The number of pounds left after each customer is filled will be modeled by the mathematical formula: Y = 100 - 5X
The expected value of X, E(X) can be calculated using the formula:
[tex]E(X) = \sum x p(x)[/tex]
E(X) = (1*0.3) + (2*0.5) + (3*0.1) + (4*0.1)
E(X) = 0.3 + 1 + 0.3 + 0.4
E(X) = 2.0
Expected number of batches, E(X) = 2.0 batches
The variance of X, V(X) can be calculated using the formula:
[tex]V(X) = E(X^2) - [E(X)]^2\\ E(X^2) = \sum x^2 p(x)\\ E(X^2) = (1^2 *0.3) + (2^2 * 0.5) + (3^2 * 0.1) + (4^2 * 0.1)\\ E(X^2) = 0.3 + 2 + 0.9 + 1.6\\ E(X^2) = 4.8\\V(X) = 4.8 - 2^2\\V(X) = 0.8[/tex]
Variance of batches, V(X) = 0.8 batches²
Y = 100 - 5X
E(Y) = E(100 - 5X)
E(Y) = 100 - 5E(X)
E(Y) = 100 - 5(2)
E(Y) = 90 lb
Expected number of pounds left, E(Y) = 90 lb
Variance of the number of pounds left:
V(Y) = V(100 - 5X)
V(Y) = V(100) + V(-5X)
V(100) = 0
V(Y) = (-5)² V(X)
V(Y) = 25 * 0.8
V(Y) = 20
Variance of pounds left, V(Y) = 20 lb²
The question is incomplete. Here is the complete question.
A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X 5 the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf.
x 1 2 3 4
P(x) 0.3 0.5 0.1 0.1
Compute E(X) and V(X). Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.
Answer: E(X) = 2
V(X) = 0.8
Expected number of pounds left = 90
Variance of the number of pounds left = 20
Step-by-step explanation: Since this is a probability distribution, to determine E(X), which is a measure of central tendency:
E(X) = ∑[x*P(x)]
E(X) = 1*0.3+2*0.5+3*0.1+4*0.1
E(X) = 2
V(X) is the variance for this type of distribution and is calculated as:
V(X) = ∑{[x - E(x)]²*P(x)} = (1-2)²*0.3+(2-2)²*0.5+(3-2)²*0.1+(4-2)²*0.1
V(X) = 0.8
The number of pounds left after the next costumer's order is shipped is given by the equation: Y = 100 - 5X
The expected number is equal to E(Y), which is this case is:
E(Y) = E(100 - 5X)
One property of E(X) is that if a and b are constants:
E(aX+b) = aE(X) + b
Taking that a = - 5 and b = 100:
E(100 - 5X) = (-5).2 + 100
E(Y) = 90
The variance of the number of pounds left is given by:
V(Y) = V(100 - 5X)
For variance, the property is: if a and b are constants:
V(aX+b) = a²V(X)
V(100 - 5X) = (-5)²*0.8
V(Y) = 20
find the value of the following number to the nearest Whole number √285
Answers
Answer:
[tex]17[/tex]
Step-by-step explanation:
[tex]\sqrt{285}[/tex]
[tex]=16.8819430161[/tex]
The answer is= 16.88 which is 17
by a factor of 0.5
1
1.5
or 2
Answers
Answer:
it is a horizontal stretch by 2.
Step-by-step explanation:
AB=3-1=2
A'B'=6-2=4
[tex]\frac{A'B'}{AB} =\frac{4}{2} =2\\A'B'=2(AB)[/tex]
Figure ABCD is a parallelogram.
What is the value of x?
1. 6
2.7
3.8
4.9
Please help fast!!!
Answers
Answer:
x = 7
Step-by-step explanation:
Parallel sides have to be the same length
5x+3 = 38
Subtract 3 from each side
5x+3-3 = 38-3
5x = 35
Divide by 5
5x/5 = 35/5
x = 7
Which one of these shapes will tessellate?
Please leave the letter below
Answers
Answer:
Option D
Step-by-step explanation:
Out of all given options, Option D (the parallelogram) will tessellate the easiest.
Option B's shape (the Trapezoid) is also possible. However, it would take a little more work for it to tessellate. The trapezoid provided would not tessellate alone.
Option A and Option C's shape wouldn't tessellate because it would leave a gap. To add, Option C's shape is nearly impossible to tessellate.
Answer: B, C, D
step by step explaniation
If the measure of AngleB is 40°, what measures can AngleA and AngleC be? Select all that apply.
20° and 30°
30° and 110°
55° and 85°
60° and 90°
70° and 70°
Answers
Answer:
30° and 110°
55° and 85°
70° and 70°
Step-by-step explanation:
Given that:
[tex]\angle B = 90^\circ[/tex]
To find the possible values for the other two angles [tex]\angle A\ and\ \angle C[/tex].
Property of a triangle is that the sum of all three angles is always equal to [tex]180^\circ[/tex].
OR
[tex]\angle A +\angle B +\angle C = 180^\circ\\\Rightarrow \angle A + 40^\circ + \angle C = 180^\circ\\\Rightarrow \angle A + \angle C = 180^\circ - 40^\circ\\\Rightarrow \angle A + \angle C = 140^\circ[/tex]
So, the sum of [tex]\angle A\ and\ \angle C[/tex] should be [tex]140^\circ[/tex]. We can select our answers according to this condition.
Option 1: 20° and 30°: the sum is [tex]50^\circ \neq 140^\circ[/tex] hence, not correct.
Option 2: 30° and 110°: the sum is [tex]140^\circ[/tex] hence, correct.
Option 3: 55° and 85°: the sum is [tex]140^\circ[/tex] hence, correct.
Option 4: 60° and 90°: the sum is [tex]150^\circ \neq 140^\circ[/tex] hence, not correct.
Option 5: 70° and 70°: the sum is [tex]140^\circ[/tex] hence, correct.
Hence, the possible answers can be:
30° and 110°
55° and 85°
70° and 70°
Answer:
30º and 110º
55º and 85º
70º and 70º
Step-by-step explanation:
got it right on edge. !
Here is a map of a town.
The map shows a centimetre ruler.
1 cm represents 3 km.
What is the real-life distance between the park and the museum?
Answers
Answer:
The distance between park and museum is 12km.
Step-by-step explanation:
Given that the map shows 1cm represents 3km. In this question, the distance between park and museum is 4cm so in order to find the real-life distance, you have to multiply by 4 :
[tex]1cm = 3km[/tex]
[tex]4cm = 3km \times 4[/tex]
[tex]4cm = 12km[/tex]
Hence, the real-life distance between the park and the museum is [tex]12km[/tex].
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
Here is a map of a town.The map shows a centimetre ruler [tex]1[/tex] cm represents [tex]3[/tex] km.
In a map it is mentioned that [tex]1[/tex]cm which represents the [tex]3[/tex] km. So, the distance between park and museum is
[tex]1+3=4[/tex]cm
So for the real-life distance, we multiply by [tex]4[/tex]
then,
[tex]1cm=3km\\\\4cm=3(4)km\\\\4cm=12km[/tex]
Hence, the real-life distance between the park and the museum is [tex]12km[/tex].
To know more about the simplification
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what is = to 85
if u do i will rate u brainliest
Answers
Answer:
85 - 85 = 0
Step-by-step explanation:
so answer is 0
hope this helps u
Answer:
85 - 85 = 0
Step-by-step explanation:
hope this helps u
What’s the simplest terms for this
Answers
Answer:
2/3
Step-by-step explanation:
2/9+4/9
The denominator is the same, so we add
6/9
Divide the top and bottom by 3
2/3
6/9simplified = 2/3 or ≅ 0.6666667
A box has 144 ounces of grapes. How many 16-ounce packages of grapes can be made?
Answers
Answer:9 packets
Step-by-step explanation:
You simply divide 144 by 16: )
Answer:
9 packages
Step-by-step explanation:
Take 144 ounces and divide by 16 ounces per package
144/16 = 9
You will get 9 packages
Which set of ordered pairs goes with y = 2cos x ?
Answers
Answer:
Set of ordered pairs = { ( 0 , 2 ), ( π / 2 , 0) , ( π , -2) , ( 2 π , 2)}
Step-by-step Explanation:
Given y = 2 cos x
i) Let x =0 ⇒ y = 2 cos (0) = 2
The ordered pair ( 0 , 2 )
ii) Let x = π / 2 ⇒ y = 2 cos (π/2) = 2(0) =0
The ordered pair ( π / 2 , 0)
iii) let x = π ⇒ y = 2 cos(π) = 2 (-1) = -2
The ordered pair ( π , -2)
iv)
let x = 2π ⇒ y = 2 cos(2π) = 2 (1) = 2
The ordered pair ( 2 π , 2)
Set of ordered pairs = { ( 0 , 2 ), ( π / 2 , 0) , ( π , -2) , ( 2 π , 2)}
help me please its due at 11
Answers
i think the answer might be 2948m^3
PLEASE HELP!! WORTH 30 POINTS!! WILL GIVE BRAINLIEST TOO!
Answers
Answer:
x = 15/11
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
(x+3) *x = 2x*(6x-6)
Divide each side by x
x+3 = 2(6x-6)
Distribute
x+3 = 12x-12
Subtract x from each side
x+3-x = 12x-x-12
3 = 11x-12
Add 12 to each side
3+12 = 11x-12+12
15 = 11x
Divide each side by 11
15/11 =x
Answer:
15/11
Step-by-step explanation:
(x + 3) *x = 2x * (6x - 6)
x^2 + 3x = 12x^2 - 12x
x^2 - 12x^2 = - 12x - 3x
- 11x^2 = - 15x
11 x * x = 15 * x
Like terms cancel out
11x = 15
= 15/11
Hope this helps!
find the surface area
Answers
Answer:
101[tex]cm^{2}[/tex]
What is x +2/3 =2
And how do I get it please explain it like you would to a 4 year cause I’m stupid
Answers
Answer:
Step-by-step explanation:
x+2/3=2
multiply by 3
3x+2=6
3x=6-2
3x=4
x=4/3
if it is (x+2)/3=2
multiply by 3
x+2=6
x=6-2=4
Answer:
[tex]x=\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]x+\frac{2}{3}=2[/tex]
to find the value of x we subtract 2/3 on both sides
[tex]x+\frac{2}{3}-\frac{2}{3}=2-\frac{2}{3}[/tex]
taking LCM AS 3
[tex]x=\frac{2*3}{1*3}-\frac{2}{3}[/tex]
[tex]x=\frac{6}{3}-\frac{2}{3}[/tex]
[tex]x=\frac{4}{3}[/tex]
[tex]i hope this will help you:)[/tex]
Need help what’s the answer ASAP
Answers
Answer:
V = 6.26 (2.5)
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = (2.5)^3
V = 6.26 (2.5)
PLEASE HELP ME WITH THIS
Answers
Answer: The correct answer is C
Solve.
(4v-9) (1 + v) = 0
(If there is more than one solution, separate them with commas.)
v =
Answers
Answer:
v = -1
Step-by-step explanation:
First, you will need to solve it step-by-step:
(4v − 9)(1 + v) = 0
Next, you need to simplify both sides of the equation:
4v(2) − 5v − 9 = 0
Now, factor the left side of equation:
(4v − 9)(v + 1) = 0
The last thing you need to do is to set all of the factors to equal to zero:
4v − 9 = 0 or v + 1 = 0
So, that means that you answer:
v=9/4 or in your case, v = −1
Find the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 5.
Answers
Answer:
[tex]t_7 =\frac{5}{729} [/tex]
Step-by-step explanation:
We are given that:
First term (a) = 5
common ratio (r) =[tex]\frac{1}{3}[/tex]
The nth term of a geometric sequence is given as:
[tex]t_n =ar^{n-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{7-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \frac{1}{729}\\\\\huge\red{\boxed{\therefore t_7 =\frac{5}{729} }}[/tex]
What is the product of (x - 9) and (2x - 7)
Answers
2x^2-25x+63
Answer:
[tex]2x^2-25x+63[/tex]
Step-by-step explanation:
You have to multiply both terms from the first one by both term in the second on, it'll look like this:
[tex](x-9)*(2x-7)=(x*2x)+(x*-7)+(-9*2x)+(-9*-7)\\(x-9)*(2x-7)=(2x^2)+(-7x)+(-18x)+(63)[/tex]
Once you combine like terms it'll be the final answer:
[tex](x-9)*(2x-7)=2x^2-25x+63[/tex]
You can use foiling to get any other questions like this:
Solve for x. mx + ny = p A.x=p+ny/m B. mx=p−ny C. x=p−ny/m D.x=m(p−ny)
Answers
Answer:
C. x=(p−ny)/m
Step-by-step explanation:
mx + ny = p
Subtract ny from each side
mx + ny -ny= p -ny
mx = p-ny
Divide each side by m
mx/m = (p-ny)/m
x=(p−ny)/m
The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets . She can make 1/2 hour . How many baskets can Nikki make in 5 hours
Answers
Answer:
40
Step-by-step explanation:
The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets .
Let n be the number of baskets and let t be the mount of time it takes to make the basket. This means that:
n α t
=> n = kt
where k = constant of proportionality
She can make 4 baskets in every 1/2 hour.
This means that:
4 = k * 1/2
=> k = 4 * 2 = 8 baskets per hour
The time is now 5 hours (t = 5). Therefore:
n = 8 * 5 = 40 baskets
She can make 40 baskets in 5 hours.
What is the equation of the line that passes through (4, -1) and (-2, 3)?
2 x+3y- 5 = 0
-2 x+3y- 5 = 0
2x-3y-5=0
Answers
Answer:
Step-by-step explanation:
(3 + 1)/(-2 - 4) = 4/-6 = -2/3
y + 1 = -2/3(x -4)
y + 1 = -2/3x + 8/3
y + 3/3 = -2/3x + 8/3
y = -2/3x + 5/3
2x + 3y - 5 = 0 is the standard form
The required equation of the line that passes through (4, -1) and (-2, 3) is 2x+3y-5 = 0
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, A line is passing through points (4, -1) and (-2, 3)
We know that, the equation of a line passing through two points is given by, (y-y₁) = (y₂-y₁)/(x₂-x₁)(x-x₁)
y+1 = (3+1)/(-2-4)(x-4)
y+1 = -2/3(x-4)
3y+3 = -2x+8
2x+3y-5 = 0
Hence, The required equation of the line that passes through (4, -1) and (-2, 3) is 2x+3y-5 = 0
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Provide work and answer for 3 and 4
Answers
Answer:
Step-by-step explanation:
The geometric mean has a set up it must follow in order to "work". If you look at #3, x is a side of the smaller triangle that has a base of 3, but it's also a side of the large triangle that has a base of 3 + 8 which is 11. That means that x is your geometric mean. Setting up the geometric mean will look like this:
[tex]\frac{3}{x}=\frac{x}{11}[/tex]
where x is the geometric means and the 3 and the 11 (the positions they are in) are the geometric extremes.
Now we cross multiply to solve for x:
[tex]x^2=33[/tex] and
[tex]x=\sqrt{33}[/tex]
That's the length of x in #3.
For #4, x is the side of the small triangle with the base of 7 and it's also the side of the large triangle with the base of 7 + 13 which 20. That means that x is the geometric mean. Setting up like above:
[tex]\frac{7}{x}=\frac{x}{20}[/tex] and
[tex]x^2=140[/tex] so
[tex]x=\sqrt{140}[/tex]
