Identify the graph h(x)=-x^2-7
Compare the graph of h to the graph of f(x)=x^2
Answers
The function h(x) is the result of two rigid transformations, reflecting the function f(x) about the x-axis and translating it vertically 7 units down.
What is the difference between the graphs of two functions?
In this problem we must determine the difference between the quadratic functions f(x) = x² and h(x) = - x² - 7, we can infer the change necessary to derive h(x) by means of rigid transformations, that is, transformations applied on a function such that the features of the functions are conserved.
All the rigid transformations required to transform f(x) into h(x) are listed below:
Reflection about x-axis: f'(x) = - x²Vertical translation: 7 units down: h(x) = - x² - 7Now we proceed to plot the two functions. From the graph we noticed that h(x) is the result of reflecting f(x) about the x-axis and translating 7 units in the -y direction.
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Related Questions
if i have a 3-digit number times a 4-digit number, then we are guaranteed to have how many digits in the answer?
Answers
On a certain hot summer's day, 481 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $932.50. How many children and how many adults swam at the public pool that day?
Answers
By using simultaneous linear equation, it can be calculated that-
Number of children are 118 and number of adults are 363
What is simultaneous linear equation?
At first it is important to know about linear equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.
Here, a simultaneous linear equation needs to be solved
Let the number of children be x and number of adults be y
481 people used the public swimming pool.
x + y = 481 ..... (1)
The daily prices are $1.75 for children and $2.00 for adults.
Total price = $(1.75x + 2y)
By the problem,
1.75x + 2y = 932.50
7x + 8y = 3730 .... (2)
Multiplying (1) by 7
7x + 7y = 3367.... (3)
Subtracting (3) from (2)
y = 363
Putting the value of y in (1)
x + 363 = 481
x = 481 - 363
x = 118
Number of children are 118 and number of adults are 363
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Select all the equations that represent the line.
Multiple select question.
A)
2x – 3y= –1
B)
2x+3y= –3
C)
3x – 2y=2
D)
y+3= –23(x – 3)
E)
y – 1= –23(x+3)
F)
y+1= –32(x+3)
Answers
The equations that represent the line are:
B. 2x + 3y = –3
D. y + 3= –2/3(x – 3)
E. y – 1 = –2/3(x+3)
What is the Equation that Represents a Line?An equation that represents a line whose slope is given as m, and it intercepts the y-axis at b, is expressed in slope-intercept form as y = mx + b.
To find the equation of the given line above, pick two points on the line, (0, -1) and (-3, 1) and find the slope (m):
Slope of the line (m) = change in y / change in x = (1 - (-1)) / (-3 - 0)
Slope of the line (m) = 2 / -3
Slope of the line (m) = -2/3.
The line intercepts the y-axis at -1. This means the y-intercept of the line is b = -1.
To write the equation of the line, substitute m = -2/3 and b = -1 into y = mx + b:
y = -2/3x - 1
It can be rewritten as 2x + 3y = –3 in standard form, or as y + 3= –2/3(x – 3) or y – 1 = –2/3(x+3) in point-slope form.
Therefore the answers are:
B. 2x + 3y = –3
D. y + 3= –2/3(x – 3)
E. y – 1 = –2/3(x+3)
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Solve for xxx.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
4x+4\leq9x+84x+4≤9x+8
Answers
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
4x + 4 ≤ 9x + 84x + 4 ≤ 9x + 8
84x ≤ 4
x ≤ 1/21
x ≤ 0.05
Thus,
The value of x is less than or equal to 0.05.
x ≤ 0.05
What is inequality?
It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
4x + 4 ≤ 9x + 84x + 4 ≤ 9x + 8
Adding the like terms.
4x + 4 ≤ 93x + 4 ≤ 9x + 8
Subtracting 4 on all sides.
4x ≤ 93x ≤ 9x + 4
Subtracting 4x on all sides.
0 ≤ 93x - 4x ≤ 5x + 4
We can write it as,
89x ≤ 5x + 4
89x - 5x ≤ 4
84x ≤ 4
x ≤ 4/84
x ≤ 1/21
x ≤ 0.05
Thus,
The value of x is less than or equal to 0.05.
x ≤ 0.05
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The path of a submarine can be modeled by d=0.012t-5.29t where d is the depth the submarine reaches and t is the number of hours the submarine is submerged
a. find the vertex. Then explain the relevance of this point in the context of this problem. Round to the nearest tenth
b. Find the number of hours the submarine was submerged. round to the nearest tenths.
HELP THIS IS DUE TOMMOROW :((
ALGEBRA 2 (Quadratic equations and functions)
Answers
a) The vertex of the problem is given as follows: (220, -583), meaning that the minimum depth reached by the vertex is of 583 after 220 hours.
b) The submarine was submerged for 440.1 hours.
What is the quadratic function?The quadratic function in this problem is defined as follows:
d(t) = 0.012t² - 5.29t.
Which gives the depth of the submarine after t hours.
The coefficients of the equation are given as follows:
a = 0.012, b = -5.29.
Then the t-coordinate of the vertex is given as follows:
t = -b/2a = 5.29/(2(0.012)) = 220.
The minimum depth is then of:
d(220) = 0.012(220)² - 5.29(220) = -583.
This is a concave up parabola, which is the reason why the vertex is a minimum.
The roots of the function are given as follows:
0.012t² - 5.29t = 0
t(0.012t - 5.29) = 0.
Hence:
t = 00.012t - 5.29 = 0 -> t = 5.29/0.012 -> t = 440.1.Meaning that the submarine was submerged for 440.1 hours.
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find the circumference of the circle use 3.14 r=6
Answers
Circumference of the circle is 37.68 feet
What is circumference of the circle?A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14).
R is specified as 6 feet, with a diameter of 12 feet (2 x 6).
Circumference: 12 feet times 3.14 inches, or 37.68 feet
If r is equal to 6 cm, the circumference is given by c = 2 (6) = 12 cm. If you'd rather have a number, the solution is 37.7 cm, rounded to the closest tenth.
D is the diameter, which is equal to 2 times r in the circumference formula ( r is the radius).
The distance between the center of the sphere and any plane passing through it is known as the circumference.
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The function f(x) goes through the point (2,6). What point will this translate to in the function f(x) = ( x + 2) -3?
Answers
As it passes through the point (2,6), it will convert to the function f(x) = (x + 2) -3 at (0,3).
What is function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. A "vertical line test" can be used when examining a graph to determine whether a relation is a function. The relation is not a function if any point on the graph may be used to build a vertical line that crosses the relation twice.
Here,
g(x) = f(x + 2) – 3
This represents a shift of two units to the left and three units down:
x moves from two to two units left (-2) to become 0
y moves from six to three units down (-3) to become 3.
At (0,3), It will translate to the function f(x) = ( x + 2) -3 as it goes through the point (2,6).
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please tiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answers
Answer:
Explanation: Its D.
please help it about calculus
Answers
The answer to this Question based on speed is 1m/s
What is speed?
Speed can be defined as the rate at which an object moves from one point to another. It is usually measured in units of distance per unit of time, such as kilometers per hour (km/h) or miles per hour (mph). Speed is a scalar quantity, meaning it has magnitude but no direction. Speed can also be thought of as the rate of change of position. When an object is in motion, its speed is constantly changing due to the force of gravity, air resistance, and other external factors. The speed of an object can be affected by its weight, shape, and size. An object's speed can also be affected by other factors such as the friction of the surface it is moving on and the wind or air resistance. Speed is an important concept in physics, engineering, and many other fields.
we are given that velocity as a function of time along a single direction
we write v(t) = -2t+5
hence speed = mod(velocity)
speed at t = 2 sec = mod (velocity at t = 2 sec)
speed = mod(-2(2)+5)
speed = mod(-4+5)
speed = 1 m/s
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The coordinate plane shows a circle with its center at the origin, and a transformation of point (1, 1) to form its image (T2, 32).
(X₁. Y₁)
Both (1, ₁) and (2, 2) are located on the circle. Which best describes the transformation?
Answers
The option that best describe the transformation is
a rotation of the point along the circle through a certain angleWhat is transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.
Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
the transformation is the problem is reflection which is equivalent to 180 degree rotation hence we say it is a certain angle rotation of point about the circle's center.
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The points on this graph represent a relationship between - and y-values. Which
statement about the relationship is true?
It must be proportional because the points lie in a straight
line.
It cannot be proportional because the y-values are not
whole numbers.
(0,0)
CLEAR CHECK
It must be proportional because each time x increases by
2. y stays the same.
It cannot be proportional because a straight line through
the points does not go through the origin.
Answers
The graph cannot be proportional because y stays the same
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we can see that:
As x increases, the values of y remains unchanged
For the graph to be proportional, it must be a straight line that passes through the origin
And the variables must change
Hence, the true statement is the graph cannot be proportional
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(04.04 MC)
The graph of two functions is shown.
graph of f of x equals negative x squared plus x and g of x equals x minus 1
If x = −1 is a solution to f(x) = −x2 + x and g(x) = x − 1, why is it also a solution to f(x) = g(x)?
a
It is a solution to f(x) = g(x) because it is the x-intercept of the two graphs.
b
It is a solution to f(x) = g(x) because it is the y-intercept of the two graphs.
c
It is a solution to f(x) = g(x) because it is the x-coordinate where the two graphs intersect.
d
It is a solution to f(x) = g(x) because both graphs are negative at x = −1.
Answers
The correct option is c. It is a solution to f(x) = g(x) because it is the x-coordinate where the two graphs intersect.
How to determine why x = −1 is also a solution to f(x) = g(x)?
x = −1 is also a solution to f(x) = g(x) because it is asking for the values of x that make f(x) equal to g(x). In this case, x = −1 is a value that makes both f(x) and g(x) equal to −1, so it is a solution to the equation f(x) = g(x).
The graph of f(x) = g(x) is simply the set of all points that are on both the graph of f(x) and the graph of g(x)
These points are the points where the two graphs intersect. In this case, the graph of f(x) = g(x) is a single point at x = −1, which is the x-coordinate where the two graphs intersect
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At a real estate agency, an agent sold a house for $375,000. The commission rate is 6.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answers
Answer: 35%
Step-by-step explanation:
PQR is an isosceles triangle in which PQ = PR
M and N are points on PQ and PR such that angle MRQ = angle NQR.
D
Prove that triangles QNR and RMQ are congruent.
R
Answers
since we know that PQ and PR are twin sides, well, the angle they each make at the base are also twin angles, Check the picture below.
1. How many one-cup servings of milk are in a two-liter bottle? Round your answer to the nearest tenth.
Answers
Answer:
8.0
Step-by-step explanation:
There are 1000 milliliters in one liter, so a two-liter bottle contains 1000 * 2 = 2000 milliliters of milk. Since one cup contains approximately 250 milliliters, a two-liter bottle contains 2000 / 250 = 8 cups of milk. Rounding this value to the nearest tenth, we find that there are approximately 8.0 one-cup servings of milk in a two-liter bottle.
please help hard question
Answers
Answer:
Use Pyramid Formua to get upper height.
And add with 5m lower height.
Carissa works as a babysitter during her summer vacation. She gets paid one rate for daytime hours and a higher rate for nighttime hours. One week, she worked 12 daytime hours and 4 nighttime hours and earned $120. The next week, she earned $60 for a total of 4 daytime hours and 3 nighttime hours. Let x represent the hourly daytime rate and y represent her hourly nighttime rate. 12 x + 4 y = 120. 4 x + 3 y = 60. What is the solution to the system of equations? (3,4) (4, 12) (6, 12) (10, 30).
Answers
The solution of the given system of equation is (6, 12). So the option c is correct.
In the given question, Carissa works as a babysitter during her summer vacation.
She gets paid one rate for daytime hours and a higher rate for nighttime hours.
One week, she worked 12 daytime hours and 4 nighttime hours and earned $120.
The next week, she earned $60 for a total of 4 daytime hours and 3 nighttime hours.
Let x represent the hourly daytime rate and y represent her hourly nighttime rate.
The system of equations is
12 x + 4 y = 120……………(1)
4 x + 3 y = 60……………(2)
We have to find the solution to the system of equations.
To find the solution for the system of equation we solve the given equation using elimination method.
Multiply equation by 3 on both sides, we get;
12x + 9y = 180
Subtract equation 3 and 1
12x+9y-(12x+4y)=180-120
12x+9y-12x-4y=60
5y=60
Divide by 5 on both side, we get;
y=12
Now putting the value of y in equation 2
4x+3×12=60
4x+36=60
Subtract 36 on both side, we get
4x=24
Divide by 4 on both side, we get
x=6
Hence, the solution of the given system of equation is (6, 12). So the option c is correct.
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Answer: (6, 12)
Step-by-step explanation: did edge test
help me pleaseeeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!
Answers
5% of $1100 = 55
Year given = 7
So, 55 × 7 = 385
She would get after 7 years all total = (1100 + 385) = $1485
Describe fully the graph which has equation x² + y² = 9
Answers
Answer:
Center: (0,0)
Radius: 3
Graph:
Please find attachment to view the graph.
Step-by-step explanation:
Please give the brainliest.
What is the answer for page 785 CPM textbook
Answers
Step-by-step explanation:
????????????........
The height of a balloon, h, varies directly as the square root of its surface area, A.
When the balloon's surface area is 81 its height is 12
What is its height when its surface area is 144?
Answers
The height of the balloon is 21.33
According the the question the relation between height and surface area of balloon is
H=pA
where ,
H is height
p is proportionality constant
A is surface area
Surface area = 81
Height = 12
By Replacing the given values we get,
12=p x 81
p=12/81
Using it in given conditions,
H=(12/81)x144
H=21.33
So the height of the balloon in the given condition is 21.33
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The ratio of the meaure of the three ide of a triangle i 9:7:5. It perimeter i 191. 1 inche olve for X
Answers
If the ratio of the measure of the three sides of the triangle is 9:7:5 and the perimeter is 191.1 inches, then the three sides of the triangle are 81.9 inches, 63.7 inches and 45.5 inches
The ratio of the measure of the three sides of a triangle = 9 : 7 : 5
Then three sides of the triangles = 9x, 7x and 5x
Where x is the constant
The perimeter of the triangle = 191.1
The perimeter of the triangle is the sum of the three sides of the triangle
Then the equation will be
9x + 7x + 5x = 191.1
21x = 191.1
x = 191.1 / 21
x = 9.1
The first side = 9x
= 9 × 9.1
= 81.9 inches
The second side = 7x
= 7 × 9.1
= 63.7 inches
The third side = 5x
= 5 × 9.1
= 45.5 inches
Therefore, the measure of the sides of the triangle is 81.9 inches, 63.7 inches and 45.5 inches
I have solved the question in general, as the given question is incomplete
The complete question is:
The ratio of the measures of the three sides of a triangle is 9:7:5. Its perimeter is 191.1 inches. Find the measure of each side.
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f(x)=(5[tex]\sqrt[5]{x}[/tex])^7
Answers
The answer to this Question is (5^7)*(x^7/5), the question is based on exponents laws
What are exponent laws?
These are some basic laws in maths that helps us to simplify the complicated expressions easily
Solution:
Here we can first distribute the power 7 to both 5 and 5th root of x by exponent laws
we get 5^7 * 5th root(x)^7
now we know nth root(x) = x ^1/n
we will do the same as
we get 5^7 * x^7/5 which is our required answer and there many more properties of exponents that we study in higher classes
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49. Use the system of inequalities below to complete part A through part C.
3x + y >= - 1
2y - 4 > 3x
Part A) Graph the system of inequalities and shade the solution set.
Part B) Is the point (1, 3) a solution to the system? Why or why not?
Part C) Determine 3 points that ARE solutions to the system.
Part D) Determine 3 points that ARE NOT solutions to the system.
Answers
A. The system of inequality is plotted and the graph is attached
B. (1, 3) is not a solution because it does not satisfy the two equations
C. the three points that are solutions are
(-1, 3) (-1, 4) (1, 4)How to find the solutions of the system of the equationsSubstituting the given point into the two system of equation if it satisfies the equation then it is a solution
For (1, 3)
3x + y ≥ - 1
3 * 1 + 3 ≥ - 1
6 ≥ - 1 correct
2y - 4 > 3x
2 * 3 - 4 > 3 * 1
2 > 3 - wrong hence not a solution
For (-1, 3)
3x + y ≥ - 1
3 * -1 + 3 ≥ - 1
0 > -1 correct
2y - 4 > 3x
2 * 3 - 4 > 3 * -1
2 > -3 correct this is a solution
(-1, 4) and (1, 4) other solutions are deduced form the attached graph where two the two shaded points intersect
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27 POINTS
Which graph passes the vertical line test?
Answers
Answer:
C
Step-by-step explanation:
If you draw multiple vertical lines through each graph, C is the only graph that touches the line once. Which means it passes the vertical line test.
one leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. find the lengths of the legs of the triangle.
Answers
one leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. Thus,
The lengths of the legs of the triangle are 18 inches,24 inches and 30 inches.
What is triangle?Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Given that,
one leg of a right triangle is 6 inches longer than the other leg.
hypotenuse is 30 inches.
Let assume, the other leg be x
It is given that, one leg of a right triangle is 6 inches longer than the other leg. So, One leg = x + 6
Since it is a right angled triangle,
h² = p² + b²
Where, h = hypotenuse
p = perpendicular
B = Base
So, (30)² = (x+6)² + x²
or, x = -24, 18
As, the length of side cannot be negative so x becomes 18.
Thus, x + 6 = 18 + 6 = 24 inches
Hypotenuse = 30 inches
Hence, the lengths of the legs of the triangle are 18 inches, 24 inches and 30 inches.
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Here are the first four terms of
an arithmetic sequence.
5 8 11 14
Find an expression, in terms of
for the..th term of the
sequence.
Answers
————————————————-
Can anyone help with this? My friend's brain cells hurt :')
Answers
The required value of n for two similar pentagons is 15/4.
What is Scale factor?The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.
The given two pentagons have similar shape because one has been scaled to get the other.
It implies that the ratio of the corresponding sides for them will be equal. It can be written as follows,
5/n = 3(¹/₃)/2(¹/₂)
=> 5/n = (10/3)/(5/2)
=> 5/n = 20/15
=> n = 15/20 × 5
=> n = 15/4
Hence, the value of n for the given pentagon is 15/4.
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Given that a is a positive integer, show that
√3a(√12a + a√3a)
is always a multiple of 3.
Input note: write the expression in the form 3(...)
Answers
Answer:
[tex]3(a^2+2a)[/tex]
Step-by-step explanation:
[tex]\sqrt{3a}(\sqrt{12a}+a\sqrt{3a}) \\ \\ =\sqrt{36a^2}+a\sqrt{9a^2} \\ \\ =6a+a(3a) \\ \\ =3a^2+6a \\ \\ =3(a^2+2a)[/tex]
Plssssss helppp fast
A. p = 70
B. p = 140
C. p equals 2 over 140
D. p = 0.0143
Answers
Option (a) is correct option.
What is constant of proportionality?The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.
Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality. When two or more parameters are proportional to one another either directly or indirectly, their relationship is stated as a = kb or a = k/b, where k denotes the direction of the relationship between the two variables.The proportionality constant is thus k.
Constant of proportionality in given case is nothing but slope of given graph.
Slope is given by tangent of the angle made by line with positive x-axis.
p =slope of line
p = [tex]\frac{y-axis}{x-axis}[/tex]
p=[tex]\frac{140}{2}[/tex] = 70
So option (a) is correct.
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