Need help. This please
The domain of the quadratic function in this problem is given as follows:
All real values.
How to obtain the domain of the function?The domain of a function is the set of all the possible input values that can be assumed by the function.
On the graph, the domain of the function is given by the values of x of the function.
A quadratic function has no restrictions on the domain, hence it is defined by all the real values.
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My teacher gave me an extra credit assignment with 25 minutes left of class. It is extra credit, not a timed assessment.
Slope PQ = 1 / 5, Slope QR = -1. Slope RS = - 1/4. Slope of SP = -5/2. No slopes and length of the segments are same the quadrilateral PQRS is a generic quadrilateral.
What is a generic quadrilateral?Generally speaking, a quadrilateral has four segments and is a type of polygon. The term "generic" denotes the absence of any additional characteristics for this quadrilateral. For instance, its opposite sides and angles might or might not be parallel and equal, respectively.
The given coordinates are:
P (3, 4)
Q (8, 5)
R (5, 8)
S (1, 9)
The slope of the line is given as:
m = (y2 - y1) / (x2 - x1)
Slope PQ = (5 - 4) / (8 - 3) = 1 / 5
Slope QR = (8 - 5) / (5 - 8) = 3 / -3 = -1
Slope RS = (9 - 8) / (1 - 5) = 1 / -4 = - 1/4
Slope of SP = (4 - 9) / (3 - 1) = -5/2
The length of the segment is given as:
√(x2 - x1)² + (y2 - y1)²
Length PQ = √(8-3)² + (5 - 4)² = √25 + 1 = √26
Length QR = √(5 - 8)² + (8 - 5)² = √9 + 9 = √18
Length RS = √(1 - 5)² + (9 - 8)² = √16 + 1 = √17
Length SP = √(3-1)² +(4 - 9)² = √4 + 25 = √29
Since, no slopes and length of the segments are same the quadrilateral PQRS is a generic quadrilateral.
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Question 12
The average mass of Jeremy, Mark and Zack is 28 kg. If Jeremy and Zack's average mass is
29kg. How heavy is Mark?
Answer:
Mark's mass is 26 kg.
Step-by-step explanation:
Average mass of Jeremy, Mark and Zack = 28kg
Average mass of Jeremy and Zack = 29 kg
Let,
Jeremy's mass = x
Mark's mass = y
Zack's mass = z
Average of three of them = \(\frac{Jeremy's mass + Mark's + Zack's}{3}\)
28 = \(\frac{x+y+z}{3}\\\)
\(28*3 = x+y+z\\84 = x+y+z\)
x+y+z = 84 Eqn 1
\(29 =\frac{x+z}{2}\\58=x+z\\\)
x+z = 58 Eqn 2
Now putting value of x+z from Eqn 2 in Eqn 1
x + z + y = 84
58 + y = 84
y = 84 - 58
y = 26
Thereofore,
Mark's mass is 26 kg.
Ren has a bag of trail mix made of 54 total pieces of nut or dried fruit There are 11 nuts for every 7 fruits, Complete the table.
Original ratio | Number in the bag:
Nut pieces: 11 | _?_
Fruit pieces: 7 | _?_
Total pieces _?_ | 54
The total number of dried fruits is 21, while the total number of nuts is 33.
How is ratio being calculated?Given that there are 54 total fruits in the bag, mixed in the ratio of 11 to 7.
To start with, we first find the percentage of nut or dried fruit present. We are told 7:11. 7 + 11 = 18 This means that the percentage would be
7/18 = 38.889%
11/18 = 61.111%
This is the ratio in which they are shared. Then we move on to calculate the final contents in the bag.
7/18 * 54 = 21 fruits
11/18 * 54 = 33 nuts
This means that there are 33 nuts in the bag, to 21 dried fruits.
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to the people that didn't understand the other person's answer
Nut pieces: 33
Fruit pieces: 21
Total pieces: 18
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!
Answer: A. No, Only one Unique Triangle can Be Formed under These Conditions.
Step-by-step explanation: It is not possible for a triangle to have more than one vertex with internal angle greater than or equal to 90°, or it would no longer be a triangle.
The interior angles of a triangle always add up to 180° while the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it. Another way to calculate the exterior angle of a triangle is to subtract the angle of the vertex of interest from 180°.
The sum of the lengths of any two sides of a triangle is always larger than the length of the third side
Pythagorean theorem: The Pythagorean theorem is a theorem specific to right triangles. For any right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the two other sides. It follows that any triangle in which the sides satisfy this condition is a right triangle. There are also special cases of right triangles, such as the 30° 60° 90, 45° 45° 90°, and 3 4 5 right triangles that facilitate calculations. Where a and b are two sides of a triangle, and c is the hypotenuse
For a school project, the school bought 36 hamsters for $5.90 each and 40 cages for $30.25 each.
How much did the school spend in all?
Use the number line to answer the question. Each tick represents 1 unit.
Which of the following points are neither negative nor positive? Select all that apply.
H
M
L
J
P
K
N
Please help
Answer:
M is niether Negitive or positive
Step-by-step explanation:
Because it is on the zero
mark me brainliest plz
Answer:
Answer:
M is niether Negitive or positive
Step-by-step explanation:
Because it is on the zero
Step-by-step explanation:
Use properties of operations to determine if the two expressions are equivalent:
(y+10)+y+9 and 2 (y+7)+5
The two expressions are equivalent is equal to 2y+19.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
(y+10)+y+9
⇒ y+y+10+9
⇒2y+19
using addition we get this.
now, we have,
and 2 (y+7)+5
⇒2y +14+5
⇒2y+19
using multiplication & then addition , we get, this.
Hence, the two expressions are equivalent is equal to 2y+19.
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Leslie gathered this data revealing the distance traveled and the cost of ticket when taking a commuter train between six different pairs of stations
The cost for two stations that are 10 miles apart will be $8.21.
What is cost?
Cost denotes the amount of money that a company spends on the creation or production of goods or services. It does not include the markup for profit. From a seller's point of view, cost is the amount of money that is spent to produce a good or product.
Given equation is;
y = 0.354x+4.669
Where x represents the number of miles traveled.
For measuring the cost for two stations that are 10 miles apart;
x=10
Putting in given equation
y=0.354(10)+4.669
y=3.54+4.669
y=8.209
Rounding off to nearest hundredth;
y=$8.21
The cost for two stations that are 10 miles apart will be $8.21
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Can anyone please help?
Q: A baseball is hit into the air by the Blue Jays' batting coach.
It's height h, in meters, after t seconds is h = - 4.9t² + 27.44t + 0.584
(a) write the equation in vertex form by completing the square
b) How high off the ground was the ball when it was hit?
c) When does the ball reach it's maximum height? what is it's maximum height?
d) For how long is the ball in the air ? Round answer to 1 decimal place
The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.
The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:
h = -4.9(t² - 5.6t) + 0.584
Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:
h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584
Simplifying, we get:
h = -4.9((t - 2.8)² - 2.8²) + 0.584
Expanding further:
h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584
Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328
b) The ball's height when it was hit can be found by evaluating the equation at t = 0:
h = -4.9(0 - 2.8)² + 34.328
h = -4.9(-2.8)² + 4.328
h = -4.9(7.84) + 34.328
h ≈ 0.784 meters
To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.
The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:
0 = -4.9(t - 2.8)² + 34.328
4.9(t - 2.8)² = 34.328
(t - 2.8)² ≈ 7
t - 2.8 ≈ ±√7
t ≈ 2.8 ± √7
Since time cannot be negative in this context, we can ignore the negative value.
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20 POINTS PLEASE I NEED THIS RIGHT NOW!!!!!!!
A system of equations is given.
Equation 1: 5x − 2y = 10
Equation 2: 4x − 3y = 15
Explain how to eliminate x in the system of equations.
Hope it helps.
Please send your query through comment section.
Step-by-step explanation:
the funny thing with equations is we can transform them (as long as we do every operation in both sides), and we can even add them up or subtract from each other to get new equations that are maybe simpler to solve.
to eliminate x i would recommend to multiply the first equation by 4, and the second equation by 5 and then subtract equation 2 from equation 1 (comparable term by comparable term).
5x - 2y = 10
4x - 3y = 15
would then turn into
20x - 8y = 40
- 20x - 15y = 75
------------------------
0 7y = -35
y = -35/7 = -5
now we can pick any original equation to solve for x.
e.g.
5x - 2×-5 = 10
5x + 10 = 10
5x = 0
x = 0
please help me!!!!!!!!!!!!
Answer:
C. and D. are correct
Step-by-step explanation:
I solved all of them
A would be 0.5 not 2
B would be 2.5 not 2
E would be 0.5 not 2
hope this helps <3
Find the measure of ∠AED for m∠BEC = 36.
Hello!
∠AED and ∠BEC are opposite angles
so ∠AED = ∠BEC = 36°.
∠AED = 36°Is 2x - 3 = -7 x + 2 > y a true or false statement?
solve the following inequality for z. write your answer in simplest form. -9-(2z-7)>-2z-6-5z
Answer:
z > -4/5
Step-by-step explanation:
-9 - (2z - 7) > -2z - 6 - 5z
Get rid of the parenthesis
*There is the number one in front of the parenthesis.-9 - 2z + 7 > -2z - 6 - 5z
Combine like terms:
-2 - 2z > -7z - 6
+2 > +2
Add 2 to both sides.
-2z > -7z - 4
+7z > +7z
Add 7 to both sides.
5z > -4
Divide both sides by 5 to get z.
z > -4/5
The sign stays the same unless you divide by a negative number---------------------------------
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Find the slope of the graph below.
Answer:
m=4
Step-by-step explanation:
tgx=4/1
=4
what is the total distance travelled when you run 7 laps around a 400 metre track
Answer:
2800
Step-by-step explanation:
Sounds complicated, but it's just multiplication, it would just be 400 x 7
sara has 150 red flowers and 300 yellow flowers. She wants to make identical bouquets with the same amount of flowers and the same amount of each color in every bouquet. What is the greatest number of bouquets she can make? How many of each color will be in each bouquet?
Answer:
150 banquets
Step-by-step explanation:
50 points for 3 questions. solve and explain please.
(1) The value of x is determined as 16.8.
(2) The measure of length VX is calculated as 4.1.
(3) The measure of angle UWV is 69.5⁰.
What is the value of the missing lengths of the triangle?
The value of the missing lengths of the triangle is calculated by applying the following formula;
(1) For the two similar triangles, the value of x is calculated as follows;
20 / (28 - x) = 30 / x
20x = 30 (28 - x )
20x = 840 - 30x
20x + 30x = 840
50x = 840
x = 840 / 50
x = 16.8
(2) The measure of length VX is calculated by applying trig ratios.
tan 63 = 8 / VX
VX = 8 / tan 63
VX = 4.1
(3) The measure of angle UWV is calculated as follows;
angle T = 360 - (94 + 127) = 139
angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)
angle UWV = 69.5⁰
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Use counters or a number line to find the sum.
-4 + (-6)
Answer:
the answer is -10
Step-by-step explanation:
Please help solve 3m/2/3 = 7
Answer:
the solution to the equation is m = 28/3, or approximately 9.3333
Step-by-step explanation:
To solve this equation, you need to get the variable, in this case "m," by itself on one side of the equation. To do this, you can start by isolating the fraction on the left side of the equation. You can do this by multiplying both sides of the equation by 2/3, which will cancel out the 2/3 on the left side:
3m/2/3 = 7
(2/3) * (3m/2/3) = (2/3) * 7
3m/2 = 7 * (2/3)
3m/2 = 14/3
Next, you can multiply both sides of the equation by 2 to get rid of the fraction on the left side:
(2) * (3m/2) = (2) * (14/3)
3m = 28/3
Finally, you can simplify the right side of the equation by dividing both sides by 3 to get the final solution:
(3m) / 3 = (28/3) / 3
m = 28/3
Therefore, the solution to the equation is m = 28/3, or approximately 9.3333.
Answer:
Maybe m = 14/9
Maybe m = 14
Step-by-step explanation:
It is not clear what you mean by the fraction on the left side.
Do you mean
3m/(2/3) = 7 ?
If so:
3m = 7 × 2/3
3m = 14/3
m = 14/9
Do you mean
(3m/2)/3 = 7 ?
If so:
3m/2 = 21
m = 21 × 2/3
m = 14
Do you mean something else?
negative 12 divided by 4
Answer:
-3 is the answer
The answer is -3, I hope this helps
What is the standard form for 4x10,000+8x1,000+2x100+3x10+6x1+7x1/10
choices
48,237.07
48,236.7
4,830.07
none of these
:)
Answer:
48,236.7
Step-by-step explanation:
40,000 + 8,000 + 200 + 30 + 6 + 7/10
7/10 can also be written .7
Find the slope of the line that passes through(9,36) (93,-10)?
Answer:
\(m = -\frac{23}{42}\)
Step-by-step explanation:
here is the equation for slope (m):
\(m = \frac{y_2-y_1}{x_2-x_1}\)
where:
y₂ = y-coordinate of 2nd point = -10
y₁ = y-coordinate of 1st point = 36
x₂ = x-coordinate of 2nd point = 93
x₁ = x-coordinate of 1st point = 9
plug values into equation:
\(m =\frac{-10-36}{93-9} \\\\m = \frac{-46}{84} \\\)
reduce the fraction:
\(m = -\frac{23}{42}\)
researchers randomly select a married couple in which both spouses are employed. let x be the income of the husband and y be the income of the wife. suppose that you know the means mx and my and the variances s2x and s2y of both variables.
It is reasonable to take the variance of the total income to be \(\sigma_x^2 + \sigma_y^2\).
How to obtain the variance of the distribution of the sum?When two variables are added, we have that:
The mean of the sum variable is given by the sum of of the means of each variable.The standard deviation of the sum variable is given by the square root of the sum of the variances of each variable.The variances for each variable are given as follows:
Income of husband: \(\sigma_x^2\).Income of wife: \(\sigma_y^2\).Then the standard deviation of the total income, which is the combination of the income of the husband and of the wife, is calculated as follows:
\(\sigma = \sqrt{\sigma_x^2 + \sigma_y^2}\)
The variance is the square root of the variance, hence it is obtained as follows:
\((\sigma)^2 = (\sqrt{\sigma_x^2 + \sigma_y^2})^2 = \sigma_x^2 + \sigma_y^2\)
Which means that it is reasonable to take the variance of the total income to be \(\sigma_x^2 + \sigma_y^2\).
Missing InformationThe problem asks if it is reasonable to take the variance of the total income to be \(\sigma_x^2 + \sigma_y^2\).
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1. A baseball team sells snacks at their games to raise money. At their last game, they
made as much money as they made at their first game.
Did they make more money at their first or last game? Explain how you know.
Answer:
They're the same.?
Step-by-step explanation:
If they made the same amount on their last game as their first they'd be the same.
Answer:
If I am reading it right, they would have made the same amount of money considering it said "At their last game, they made as much money as they made at their first game."
Does anyone have the answers to these questions? I would do them but I don’t have the time, please help, will mark brainliest.
What is the solution to the inequality |2x + 3| < 7? 4 < x < 10 –5 < x < 2 x < 4 or x > 10 x < –5 or x > 2
Answer:
4(−10−9x)
Step-by-step explanation:
Which negative angle is equivalent to 265°?
A. -85°
B. -65°
C. -95°
D. -75°
Answer:-95°
Step-by-step explanation: a p e x
The negative angle that is equivalent to 265° would be equal to negative 85 degrees.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
The negative angle is equivalent to 265°.
We know that the sum of angles is always 180
So,
we will subtract the angle 180 from the angle of 265 degrees.
265 - 180
= 85°
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Exercise
find the truth set of the
1.5(3x-5)-2(x-7)=11