Answer:
[tex]f(x)=x^3[/tex]
Step-by-step explanation:
The parent function denotes the simplest function (free from any horizontal/vertical stretch/compression) that represents a family of functions. In this case the term 1/4 indicates a horizontal stretch and should be removed to find the parent function of [tex]f(x)=x^3[/tex]. From here we're in simplest form, since [tex]y=x[/tex] or others represent a completely different family of functions and cannot be obtained from horizontal/vertical stretches/compressions.
H E L P !
Given that the Universal set is numbers 1 through 20, write the complement of the set A.
Set A : {1, 3, 7, 12, 14, 17, 19, 20}
Answer:
A' : {2, 4, 5, 6, 8, 9, 10, 11, 13, 15, 16, 18}
I NEED HELPPPP PLEASE
Joshua has a stored value card with $100
to buy food at a seafood restaurant. If he
orders 1 kg of chilli crab and 4 tiger prawns,
there will be $12 left in the value of the card.
If he orders 2 kg of chilli crab and 2 tiger
prawns, he needs to pay $28 more. How
much is left in the card or how much will he
need to pay if he orders 1.5 kg of chilli crab
and 2 tiger prawns?
Answer:
no money left (0$), but no extra payment either.
Step-by-step explanation:
x = price per kg of crab
y = price per prawn
if he orders the first list, we know $12 will be left on his card, that means the order costs 100 - 12 = $88.
1×x + 4×y = 88
for the second list we know he would have to pay $28 extra, in addition to the $100 in the card.
so, 100 + 28 = $128
2×x + 2×y = 128
x + y = 64
now we have a system of 2 equations with 2 variables. we use one equation to express one variable by the other, and that we use then in the second equation to solve it.
x = 64 - y
(64 - y) + 4y = 88
64 + 3y = 88
3y = 24
y = 24/3 = $8
=>
x = 64 - y = 64 - 8 = $56
so, if he orders 1.5 kg of crab and 2 prawns we get a cost
1.5×56 + 2×8 = 84 + 16 = $100
so, he will not have any money left in the card, but he will not have to pay anything extra either.
Write each power as a single power, then evaluate (9
Answer:
Step-by-step explanation:
a. 〖(9^8)〗^0 = 1
b. 〖〖[(-2)〗^4]〗^2 = 256
c. 〖–(3^2)〗^3 = -729
Please HELP!! Will mark brainliest!!!
Answer:
x=6
y=5
Step-by-step explanation:
15x and 90 are vertical angles and vertical angles are equal
15x = 90
Divide by 15
15x/15 = 90/15
x = 6
15x and 5x+12y are corresponding angles and corresponding angles are equal when the lines are parallel
15x= 5x+12y
Subtract 5x
15x-5x = 5x+12y-5x
10x = 12y
10(6) = 12y
60 = 12y
Divide by 12
60/12 = 12y/12
5 = y
what is the cosine of 122.2
cosine 122.2 = -0.532876276......
A construction crew can dig a pit at a rate of 1914 meters per hour. How deep can they dig in 6 hours?
Answer:
11484m
Step-by-step explanation:
if 1914 = 1hour
Then 6hours= ?
6/1 ×1914
= 11484m
What type of line is PQ?
A. side bisector
B. altitude
C. angle bisector
D. median
Step-by-step explanation:
C. angle bisector
hope this helps you
have a nice day:)
A line PQ is the median of triangle PRS.
What is median of a triangle?A median of a triangle is a line segment that join a vertex to the mid-point of the side that is opposite to the vertex.
According to the given question.
We have a triangle PRS in which a line segment PQ dividing the side RS in two equal parts means point Q is acting as a mid point for RS.
Since, RS is the side which is opposite to the vertex P, and PQ is dividing RS in two equal parts therefore, PQ is the median of the triangle PRS.
Thus, option D is correct.
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Isabella runs 3 times per week. She ran for 15 minutes on Monday and 17 minutes on Wednesday. Her coach told her that she had run 80 percent of her goal that week. How many more minutes does she need to run to meet her goal for the week?
Answer
8 More minutes
Step-by-step explanation:
15+ 17 = 32
32/.8 = 40
40 - 32 = 8
The measure of the angles of a triangle are 34 degrees and 45 degrees. What is the measure of the third angle
Solve the equation -9x -21= 20x -87
Answer:
66/29
Step-by-step explanation:
-9x - 21 = 20x - 87
Add 87 to both sides to cancel out the -87 on the right side:
-9x + 66 = 20x
Add 9x to both sides to cancel out the -9x on the left side:
66 = 29x
Divide both sides by 29 to isolate the variable:
66/29 or 2.275862....
solve the equation 5+7 | 2x-1 | = -44
the solutions are: ??
i have tried to work out what i need to do to get the solutions that are being asked for but i need help and an explanation of possible! thank you so much!
The easy part is isolating the absolute-value term:
5 + 7 |2x - 1| = -44
7 |2x - 1| = -49
|2x - 1| = -7
Remember that the absolute value function returns a positive number that you can think of as the "size" of that number, or the positive distance between that number and zero. If x is a positive number, its absolute value is the same number, |x| = x. But if x is negative, then the absolute value returns its negative, |x| = -x, which makes it positive. (If x = 0, you can use either result, since -0 is still 0.)
The important thing to take from this is that there are 2 cases to consider: is the expression in the absolute value positive, or is it negative?
• If 2x - 1 > 0, then |2x - 1| = 2x - 1. Then the equation becomes
2x - 1 = -7
2x = -6
x = -3
• If 2x - 1 < 0, then |2x - 1| = - (2x - 1) = 1 - 2x. Then
1 - 2x = -7
-2x = -8
x = 4
Can someone help me with this math homework please!
Answer:
Second optionAs the x-values go to negative infinity, the function´s values go to positive. infinity.
--------------------------
Hope it helps...
have a great day!!
Answer:
(B) As the x-values go to negative infinity, the function's values go to positive infinity.
Step-by-step explanation:
The x-values the answer choices are talking about are the values on the x-axis.
Looking at the graph, when the x-values go to negative infinity (meaning it keeps on going left, or negative), the function goes up, meaning the function goes to positive infinity.
When the x-values go to positive infinity (meaning it keeps on going right, or positive), the function goes up, meaning the function goes to positive infinity.
Out of all the answer choices, only B agrees with the observations written above.
Hope that helps (●'◡'●)
The table represents an exponential function.
What is the multiplicative rate of change of the function?
Answer:
Step-by-step explanation:
All we are doing here is solving for the b in
[tex]y=a(b)^x[/tex], which is the standard form for an exponential function.
Use the first 2 coordinate pairs to solve for b: (1, 6) and (2, 4):
[tex]6=a(b)^1[/tex] so
[tex]a=\frac{6}{b}[/tex] and use that when you write the next equation using the next coordinate pair:
[tex]4=\frac{6}{b}(b)^2[/tex] which simplifies to
4 = 6b so
[tex]b=\frac{2}{3}[/tex], the second choice there. Another way of saying multiplicative rate is the rate of decay or the rate of growth. Same thing. This is decay since 2/3 is greater than 0 but less than 1.
Use the parabola tool to graph the quadratic function f(x)=−x2+4. Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
see below
Step-by-step explanation:
f(x) = -x^2 +4
The vertex form is
y = a(x-h)^2 +k
Rewriting
f(x) = -(x-0)^2 +4
The vertex is (0,4) and a = -1
Since a is negative we know the parabola opens downward
f(x) = -(x^2 -4)
We can find the zeros
0 = -(x^2 -2^2)
This is the difference of squares
0 = -(x-2)(x+2)
Using the zero product property
x-2 =0 x+2 =0
x=2 x=-2
(2,0) (-2,0) are the zeros of the parabola and 2 other points on the parabola
We have the maximum ( vertex) and the zeros and know that it opens downward, we can graph the parabola
Answer:
Your vertex is (4,0)
Step-by-step explanation:
What is the shaded area of the figure?
Answer:
329.29... mm²
Step-by-step explanation:
it is the area of the circle minus the area of the white triangle.
what we see as dotted line is on one hand the radius of the circle but also the height of the triangle.
we know the area of a circle is
pi×r²
and the area of a triangle is
baseline×height/2
the baseline of the triangle is clearly the diameter (=2×r) of the circle.
so, we have everything and need only to do the calculations.
the area of the shaded figure is
As = pi×(12.4)² - (2×12.4)×12.4/2 = pi×(12.4)² - 12.4×12.4 =
= pi×(12.4)² - (12.4)² = (pi-1)×(12.4)² = 329.29... mm²
The ratio of flour to water is 2 to 1 for biscuits Is Lisa has 4 cups of flour how much water should she add to make biscuits
Answer:
she should add 2 cups of water.
Step-by-step explanation:
2 : 1 = 4 : 2
What is the midpoint of the segment shown below?
10
O A. (-3,-11)
O B. (-9,-)
10
(-12, -3)
O C. (-9.-11)
(3.-8)
OD. (-:-)
A car travels 600 km in 6 hours. at what rate of speed is the car traveling?
Step-by-step explanation:
100Km/hours......V/T
Find the length of side BC give your answer to three significant figures
Answer:
19.4 cm
Step-by-step explanation:
Hi there!
This is a right triangle. We're given an angle, the side adjacent to the angle and we're solving for the hypotenuse. Given this information, we can use the cosine ratio:
[tex]cos\theta=\frac{adj}{hyp}[/tex]
Plug in the given angle and side
[tex]cos71=\frac{6.3}{BC}\\BC=\frac{6.3}{cos71} \\BC=19.4[/tex]
Therefore, the length of BC is 19.4 cm when rounded to 3 significant figures.
I hope this helps!
what is 3x10x178 I need help asap
Answer:
3x10=30 30x178=5,430
Step-by-step explanation:
[tex]3 \times 10 \times 178 \\ 30 \times 178 \\ 5340 \: \: answer[/tex]
Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side length of 1/2 yard would Jimmy need to measure the volume of his trunk?
Answer: 6 blocks
Step-by-step explanation:
Given
Volume of the rectangular prism is [tex]V=\dfrac{3}{4}\ yd^3[/tex]
Length of the cubic block is [tex]a=\dfrac{1}{2}\ yd[/tex]
Volume of each cubic block is
[tex]\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3[/tex]
Suppose, n blocks are required to measure the volume of Prism
[tex]\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}[/tex]
Thus, 6 blocks are required to measure the volume of prism.
Yes that person is correct
 The angle of elevation to a nearby tree from a point on the ground is measured to be 65°. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a
foot if necessary.
Answer:
197.3 feet
Step-by-step explanation:
197.295 rounded to the nearest hundredth is 197.30 or 197.3
The height of the tree if the point on the ground from the tree is 92 feet will be 197.29 feet.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
The angle of elevation to a nearby tree from a point on the ground is measured to be 65°.
The height of the tree if the point on the ground from the tree is 92 feet. Then we have
Let h be the height of the tree. Then we have
[tex]\tan 65^o = \dfrac{h}{92}\\\\ 2.1445\ = \dfrac{h}{92}[/tex]
Then we have
[tex]\rm h = 2.1445 \times 92\\\\h = 197.29\ ft[/tex]
More about the right-angle triangle link is given below.
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Riley bought a plant and planted it in a pot near a window in her house. The initial
height of the plant was 6 inches and it grew at a rate of 2 inches per
month. Write an
equation for H, in terms of t, representing the height, in inches, of the plant t
months after Riley bought the plant.
Answer: H =
Submit Answer
acer
Answer:
Height = Initial height + rate of growth of height
= 6 inches + 2 inches per month
= 6 inches + 2×(number of months)
HELP!!!
A car manufacturer collects data on the number of gallons of gasoline left in the gas tank after driving for different numbers of miles. The manufacturer creates a scatter plot of the data and determines that the correlation coefficient is −0.92.
Select each true statement based on this correlation coefficient.
A.) There is a weak correlation between the number of miles driven and the gallons of gasoline left in the tank.
B.) There is a negative correlation between the number of miles driven and the gallons of gasoline left in the tank.
C.) There is no correlation between the number of miles driven and the gallons of gasoline left in the tank.
D.) There is a linear correlation between the number of miles driven and the gallons of gasoline left in the tank.
E.) There is a strong correlation between the number of miles driven and the gallons of gasoline left in the tank.
The statement that is true about the variables analyzed is that there is a negative correlation between the number of miles driven and the gallons of gasoline left in the tank.
What is correlation?This refers to the relation or connection between two or more variables. In this case:
Amount of gasolineNumber of milesWhat does -0.92 mean?This has the sign -, which shows the correlation is negative. This implies that as the number of miles increase the amount of gasoline decreases.
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Find f(-3) for f(x) = 4(2)^x
O A. -32
O B. 1/2
O C. -24
O D. 1/8
Answer:
B. 1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 4(2)ˣ
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-3) = 4(2)⁻³Exponents: f(-3) = 4(1/8)Multiply: f(-3) = 1/2which of the following pairs of equations are perpendicular
Answer:
were are the pairs?
Can someone help me with this math homework please!
Answer:
f(n+1) = f(n) - 5
Step-by-step explanation:
Just find some relationship between 2 numbers that are next to each other.
Which table of values could be generated by the equation 10x+5y=15? (Will give brainlest and 21 points)
Answer:
(For the image) A
Step-by-step explanation:
the dual bar chart below shows how a group of 190 students travel to school. given that 50 students, said they travel to school by car complete the table below
The image of the bar chart is missing and so i have attached it.
Answer:
Bus = 75
Cycle = 20
Walk = 45
Step-by-step explanation:
We are told that 50 students said they travel to school by car.
However, in the bar chart, we see that we have a portion for boys and girls
Under car, when we count along the y-axis, we will see that, there are 6 units for boys and 4 units for girls.
Thus, to find the value of a unit since number of people that took cars is 50, we have;
(6x + 4x)/2 = 50
Where x is the value of one unit. Thus;
10x/2 = 50
5x = 50
x = 50/5
x = 10
Thus, a unit is 10
Under bus;
Boys have 7 units while girls have 8 units.
Thus;
Frequency by bus = ((7 × 10) + (8 × 10))/2 = 150/2 = 75
Under cycle;
Boys have 1 unit while girls have 3 units.
Thus;
Frequency by cycle = ((1 × 10) + (3 × 10))/2 = 20
Under walk;
Boys have 5 units while girls have 4 units.
Thus;
Frequency by cycle = ((5 × 10) + (4 × 10))/2 = 45
