Use the parabola to graph the quadratic function f(x)=-2(x+4)^2-3
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
*i’ve been trying to understand this question for so long and when i try to find the answer they don’t make sense!!*
Answers
Given that the directrix is -2 and the vertex is (-4,-3), the graph will be the parabola plotted in the negative quadrant.
What is parabola?Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. Three crucial components make up a parabola: a focus, a directrix, and a vertex. This upward-opening parabola illustrates how all points along its curve will be equally distant from the directrix and the focus.
Here,
The equation of the parabola is,
f(x)=-2(x+4)²-3
a=-2
(h,k)=(-4,-3)
The graph will be the parabola plotted in the negative quadrant as the directrix is -2. and the vertex is (-4,-3).
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Related Questions
the symbol used to represent the nonnegative square root of a number
Answers
https://brainly.com/question/4316749The symbol used to represent the square root of a non-negative number is √ and is called the radical symbol or sign or root symbol and the non-negative square root is called the principal square root.
Every positive real number has two square roots, positive and negative.
For this reason, we use the square root symbol √ to represent the dominant (non-negative) square root. Negative sign before radical −√ for negative square root.
Every nonnegative real number a has a unique nonnegative square root called the principal square root, denoted by √ in which √ is called the root symbol.
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Erin is a dog groomer. She charges a $6.00 base fee plus an extra $0.50 per pound. If x represents the weight of the dog in pounds, which equation models her income for each dog groomed?
Income = 0.5 x + 6
Income = 5 x + 6
Income = 6 x + 0.5
Income = 6 x + 5
Answers
0.5 represents how much each pound costs. For example, If the dog was 10 pounds:
0.5(10) + 6
5 + 6
= $11 total
Answer:
the first equation
Step-by-step explanation:
The 6 is the same amount no matter the weight of the dog. .5x represents 50 for each pound.
If a dog weight 20 pounds, it would cost 6 + .5(20)
If a dog weight 30 points it would cost 6 + .5(30) and so on.
Haywood collects 85 signatures each day for a
petition. He says he has collected 1,250 signatures
in 15 days. How would you respond to Haywood?
Answers
Haywood is wrong because he collected 1,250 signatures in 15 days not 1250 signatures.
Given that, Haywood collects 85 signatures each day for a petition.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Number of signatures Haywood collected in 15 days is
85×15=1275
Since, Haywood said has collected 1,250 signatures in 15 days
So, Haywood is wrong
Therefore, Haywood is wrong because he collected 1,250 signatures in 15 days not 1250 signatures.
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Sally had 36 guests coming for Thanksgiving dinner. 1/3 of the guests brought a dessert. Each dessert could serve 6 people. How many servings of dessert were there?
Answers
Sally will get a total of 72 servings for her Thanksgiving dinner.
How to determine the quantity of servings for a Thanksgiving dinner
In this problem we knows that Sally has 36 guests for Thanksgiving dinner, one third of which, that is, 12 guests, brought a dessert and each dessert could serve 6 guests. The total number of servings (r) is equal to the number of desserts (n) and the expected quantity of guests per dessert (q), that is:
r = n · q
r = 12 · 6
r = 72
There are a total of 72 servings.
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What is Bodmas fraction?.
Answers
Answer: Simplification of Fractions.
Step-by-step explanation:
Regina wants to harvest the wheat in a 20-acre field in two days. If on the first day Regina harvests 8 acres, what percent of the field must she complete the second day?
Answers
Hope this helps ; )
Which statement correctly compares the function shown on this graph with
the function y = 3x - 6?
7
6
6
4
1
5432/1 1 2 3 4 5
A. The function shown on the graph has a smaller rate of change, but
a higher starting point.
B. The function shown on the graph has the same rate of change, but
a higher starting point.
C. The function shown on the graph has the same rate of change, but
a lower starting point.
D. The function shown on the graph has a smaller rate of change and
a lower starting point.
Answers
The graphed function's rate of change is the same, however
a lesser base line.
What is meant by mathematical expression?A mathematical expression shows the value of something by combining numbers, variables, and operators. A mathematical statement known as an equation involves setting two expressions equal to one another.
Mathematical operations like addition, subtraction, multiplication, and division can be used to mix integers and numbers to create a numerical expression.
In the mathematics curriculum and in mathematics in general, algebraic expressions are crucial. Students must be proficient in computations and the manipulation of algebraic expressions in order to advance and do well in mathematics. They must also be able to understand and write expressions.
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Given m || n.
What theorem or postulate justifies this statement?
/1 = /5
A.linear pair postulate
B.vertical angles theorem
C.alternate interior angles theorem
D. alternate exterior angles theorem
E.corresponding angles postulate
Answers
Answer:
E
Step-by-step explanation:
they are equal to each other
Q6. A gas station offers two promotional reusable fountain drink cups over the
summer. The Silver Cup costs $10 and can be refilled all summer for $0.25
each refill. The Gold Cup costs $25 and comes with unlimited refills all summer.
Which inequality can be solved to find x, the number of refills needed to make
the Gold Cup a better value than the Silver Cup?
Answers
Answer:
10 + 0.25x < 25Less than 60 refills makes the Gold Cup a better valueStep-by-step explanation:
Let the number of refills be x.
Then the Silver Cup will cost:
10 + 0.25xThe cost of the Gold Cup is $25.
If we need the Gold Cup a better value, then required inequality is:
10 + 0.25x < 25Solve it for x:
0.25x < 25 - 100.25x < 15x < 15/0.25x < 60Answer:
Inequality = 10 + 0.25x < 25
The value of x = x < 60
Step-by-step explanation:
Now we have to,
→ find inequality used to solve for x.
Then the inequality will be,
→ $10 + 0.25x < $25
→ 10 + 0.25x < 25
Required value of x will be,
→ 10 + 0.25x < 25
→ 0.25x < 25 - 10
→ x < 15/0.25
→ [ x < 60 ]
Hence, the value of x < 60.
Michael leaves home and drives 17 miles west to work. After work, he travels 9 miles to a friend's
house. If the bearing from work to the friend's house is S 24° E, find the distance between the
friend's house and home.
Answers
The distance between friend's house and home is 14.263 miles.
What is distance?
The distance between two points is the length of a straight line segment that links them. The distance of a point from a line is the length of the shortest line segment from the point to the line.
What is tan?
the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
Given,
The distance he covered to west (base) = 17 miles
angle = 24°
tan 24°= perpendicular/base
tan 24° = perpendicular/17
p = 0.836/17
=14.263 miles.
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an article in the new york times noted that the human population has shown a significant increase in height. when the relationship of height to reproductive success in humans was examined across three decades (1935-1967), height had a positive correlation to the number of children born and the number of surviving children. these observations suggest that
Answers
The given observations suggest that the increase in population is directly proportional to the number of children born and the number of surviving children.
According to the question,
We have the following information:
An article in the New York times noted that the human population has shown a significant increase in height. when the relationship of height to reproductive success in humans was examined across three decades (1935-1967), height had a positive correlation to the number of children born and the number of surviving children.
It means if the number of children born and the number of surviving children is more then the population will also increase.
In other words, it can be said population is directly proportional.
Hence, the given observations suggest that the increase in the population is directly proportional to the number of children born and the number of surviving children.
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Which one of the following equations represents a circle with its centre at the Origen
Answers
Following equation represents a circle with its Centre at the origin is ,
[tex]x^2 +y^2=25[/tex].
What is circle?
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.
What does origin mean math?
The origin is the point at which all lines in a coordinate system intersect. When x and y are both equal to zero, the axes intersect. The origin's coordinates are (0, 0).
What is equation?
An equation is a mathematical statement that demonstrates the equality of two mathematical expressions.
What is Pythagoras theorem?
The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, [tex]a^2 + b^2=c^2[/tex], are equal to the squares on the legs.
If we take any point P(x, y) on the circle, then OP = 5 is the radius of the circle.
But OP is also the hypotenuse of the right-angled triangle OPN, formed when we drop a perpendicular from P to the x-axis.
Now in the right-angled triangle, ON = x and NP = y. Thus, using the theorem of Pythagoras,
[tex]x^2 + y^2 = 5^2 = 25[/tex].
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what is result of evaluating the following expression? (45 / 6) % 5 group of answer choices 2.5 3 7 2
Answers
The result of the given expression is 2.5.
We are given a mathematical expression. Let the expression be denoted by the variable "E". The expression is given below.
E = (45 / 6) % 5
We need to simplify the expression and find its value. First of all, we will solve the brackets.
E = (7.5) % 5
Now we will solve the modulus operator. The modulus operator "%" gives us the remainder after the division of the two numbers. After dividing one number by another, the modulo operation yields the remainder, or signed remainder, of the division.
E = 2.5
Hence, the value of the expression is 2.5.
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Hello, please help me answer asap! :) i really need it!!..
Answers
Answer: -2.00
Step-by-step explanation:
The parent function for linear functions is y=mx +b.
First, find the slope using the slope formula (y2-y1)/(x2-x1)
(30-10)/(8-3) = 20/5 = 4
Now, plug in known values to solve for "b", which is the y-intercept:
10 = 4(3) + b
10 = 12 + b
10 - 12 = b
-2 = b
A triangle has sides with lengths of 39 mm 56 mm and 37 mm is it a right triangle
Answers
No it is not a right angled triangle.
What is a right angled triangle?A right triangle is a triangle with a 90° angle as its only angle. There CANNOT be two 90° angles in a right triangle. This is so that a triangle's angles can sum up to 180°. The right triangle's other two angles must sum up to 90 degrees given that one angle is 90 degrees.A triangle is a right triangle if the square of the length of the longest side equals the sum of the squares of the other two sides. In other words, if c2=a2+b2 in ABC, then C is a right triangle with PQR as the right angle.acc to our question-
a= 39b=56c=37Hence, no sides are equal to 90 degrees.
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A hula hoop has a circumference of 110 centimeters.What is the diameter of the hula hoop
Answers
6, what is the standard deviation of the residual values in the regression output. note that the residual values measure the difference between the observed values of the travel time in hours and the predicted values of the travel time in hours from the regression model.
Answers
The difference between a set of expected and observed values is known as residual standard deviation, which refers to the standard deviation of the residual values.
In the given question we have to explain the standard deviation of the residual values in the regression output.
Regression analysis is a statistical technique used to demonstrate the relationship between two different variables and to assess how well one variable can be predicted based on the behaviour of another.
The standard deviation of points surrounding a fitted line or the standard error of estimate are other names for residual standard deviation.
The difference between a set of expected and observed values is known as residual standard deviation, which refers to the standard deviation of the residual values.
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Need to know if I am correct. Image is provided
Answers
Answer:
yes your answer is correct
1. If a truck tire holds 25.0 liters of air at 25.0°C, what will be the volume of air in the tire if the temperature
increases to 30.0 C
Answers
Answer:
25.4 L
Step-by-step explanation:
Charles's Law
[tex]\sf \dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}\quad \textsf{(when pressure is constant and temperature is in kelvin)}[/tex]
where:
V₁ = first volume.T₁ = first temperature.V₂ = second volume.T₂ = second temperature.Given:
V₁ = 25 LT₁ = 25.0 °CT₂ = 30.0 °CConvert Celsius to kelvin.
Kelvin = Celsius + 273.15
[tex]\implies \sf T_1= 25 + 273.15 = 298.15 \;K[/tex]
[tex]\implies \sf T_2 = 30 + 273.15 = 303.15\; K[/tex]
Substitute the given values into the formula:
[tex]\implies \sf \dfrac{25}{298.15}=\dfrac{V_2}{303.15}[/tex]
[tex]\implies \sf V_2 =303.15 \cdot \dfrac{25}{298.15}[/tex]
[tex]\implies \sf V_2 =\dfrac{7478.75}{298.15}[/tex]
[tex]\implies \sf V_2 =25.41925205...L[/tex]
Therefore, the volume of air in the tire if the temperature increases to 30.0 °C is 25.4 L (nearest tenth).
In scientific notation, 170.04 is written as?
Answers
Answer: It would be 1.7 × 10^2.
Step-by-step explanation:
A vertical flagpole, AB,ha a height of 42m. The point B, C and D lie on level ground, and BCD i a traight line Point C i 24 m from the bae of the flagpole. The angle of elevation of the top of the flagpole from point D i 48 degree
Answers
Points C and D are 13.82 meters apart.
What is the point in math?
In mathematics, a point (.) is used to indicate an accurate place in space and serves as its representation. It lacks all three dimensions—length, width, and height. It is hence immeasurable. Uppercase letters are typically used to name points.Given : Flag AB, with point B , C ,D lying on ground.
BD = 24 m . AB = 42 m
To find; CD
In triangle ABD, with angle of elevation from D to top of flag pole is 48 degrees.
Tanθ = perpendicular/base
tan 48° = AB/BD
1.1106 = 42/BD
BD= 42/1.1106 = 37.82 m
From the figure:
BD = BC + CD
37.82 m = 24 m + CD
CD = 37.82 m - 24 m = 13.82 m
Points C and D are 13.82 meters apart.
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The sum of the 1st 2 terms of an exponential sequence is 135 and the sum of the 3rd and 4th terms is 60. Given that the common ratio is positive, calculate:
a. The common ratio and the 1st term
b. The least number of terms for which the sum exceeds 240.
Answers
The common ratio and the 1st term will be 2/3 and 81. And the least number of terms for which the sum exceeds 240 will be 11.
What is a geometric sequence?Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The amount of the first 2 terms of a remarkable grouping is 135 and the amount of the third and fourth terms is 60. Then the equations are given below.
a + ar = 136 ...1
ar² + ar³ = 60
r²(a + ar) = 60 ...2
From equations 1 and 2, then we have
r² x 135 = 60
r² = 60/135
r² = 4/9
r = 2/3
Then the value of 'a' is given as,
a + (2/3)a = 135
a = 81
Then the least number of terms for which the sum exceeds 240 will be given as,
Sₙ > [a₁ (1 - rⁿ)] / (1 - r)
240 > [81(1 - 0.66ⁿ)] / (1 - 0.66)
240 > 243(1 - 0.66ⁿ)
0.9876 > 1 - 0.66ⁿ
0.66ⁿ > 1 - 0.9876
n log 0.66 > log 0.012345
n > 10.57
n = 11
The common ratio and the 1st term will be 2/3 and 81. And the least number of terms for which the sum exceeds 240 will be 11.
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Read the sentence.
My watch is cheap because it broke after only a few days.
What is the connotation of the word “cheap” in the sentence?
easy to use
on sale
affordable
of poor quality
Answers
Answer:
of poor quality
Step-by-step explanation:
it broke after a few days
How to do x+5x-7(2+x)=7?
Answers
Answer:
x=-21
Step-by-step explanation:
x+5x-7(2+x)=7 so 6x-14-7x=7
-x=21 so x=-21
What are all the rational roots of the polynomial f/x 20x4 x3 8x2 x 12?.
Answers
The rational roots of the given polynomial f(x)= 20x4 + x3 + 8x2 + x - 12 are x = -4/5 and x = 3/4.
All possible rational roots of f(x) are in the form p/q where p is a factor of constant term and q is the coefficient of leading term. Here, p= -12 and q= 20
Factors of -12= -/+(1,2,3,4,6,12)
Factors of 20= -/+(1,2,4,5,10,20)
So the rational roots = -/+ (1, 2, 3, 4, 6, 12)/ (1, 2, 4, 5, 10, 20)
Solving for x when f(x) = 0,
20x4 + x3 + 8x2 + x - 12 = 0
(4x - 3)(5x + 4)(x2 + 1) = 0
Equating all factors to zero, we get
4x - 3 = 0 or 5x + 4 = 0 or x2 + 1 = 0
x = 3/4, x = -4/5, x = i, x = -i
Hence, the rational roots are x = 3/4, x = -4/5.
The given question is incomplete, the complete question is
What are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x - 12?
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Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 26.35°. What is the measure of ∠P?
127.3°
153.65°
26.35°
76.825°
50 POINTS
Answers
The measure of angle P as well as angle Q is 76.825. Hence, option D is correct.
What is an angle?When two lines converge at a point, they produce an angle. The word "angle" refers to the length of the "gap" between these two rays. The symbol is used to denote it.
Radians, a unit of roundness or rotation, and degrees are the 2 most common units used to measure angles. In daily life, angles are present.
As per the given data from the question,
Angle P and Q are congruent and,
Angle, ∠R = 26.35°
Suppose ∠P = a
The sum of all the three angles of a triangle is 180°.
x + x + 26.35° = 180°
2x = 180° - 26.35°
x = 76.825°.
Therefore, ∠P will be equal to 76.825°.
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a summary measure that is computed to describe a characteristic of an entire population is called... group of answer choices a census. the scientific method. a parameter. a statistic.
Answers
A summary measure that is computed to describe a characteristic of an entire population is called a parameter.
Descriptive statistics are those approaches that collect, present, and characterize a set of data in order to accurately describe the different properties of that set of data. A population characteristic can be estimated or a population decision can be made based solely on sample results, according to the definition of inferential statistics.
The totality of the items or things being considered constitutes a population.
The portion of the population that has been chosen for analysis is known as a sample.
A parameter is a summary measure that is computed to describe a characteristic of an entire population.
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Sam is moving bags of soil from a loading dock into a storeroom. The topsoil weighs 40 pounds per bag, and the mulch weighs 20 pounds per bag. The cart Sam uses to move the bags can only carry up to 480 pounds.
Answers
Answer:The answer would be the A
Step-by-step explanation:
Answer:
40x + 20y < 480
Step-by-step explanation:
the inequality: 40x + 20y <(with a line under the < sign)480
It's a picture. Sorry if it isn't explained well.
Answers
Answer:
A: y=3x-1
Step-by-step explanation:
we can use slope formula to get the rate of change
y2-y1/x2-1
3-1/1-0
2/1
2 is the rate of change
so A has the rate of change of 3 so it’s the only one with the greater one
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What is the range of this relation?
Answers
Answer:
{-4, -3, 2, 4}
Step-by-step explanation:
range are he y values so, find the y values of the points on the graph
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