Answer:
1. Equal domain, range, interval of increase and lack of asymptotes
The difference is the difference in slope
2. Equal domain, range, no increase or decrease (constant value) and lack of asymptotes
The difference is the difference in the y-intercept
Step-by-step explanation:
1. The similarities between the functions, y = 5·x and y = 3·x are;
a. The domain of y = 5·x is the set of all real numbers and the range is (-∞; ∞)
b.There are no critical point and the interval of increase is (-∞; ∞)
There are no asymptotes the line crosses the origin
The x and y intercept are both zero
Similarly, The domain of y = 3·x is the set of all real numbers and the range is (-∞; ∞)
There are no critical point and the interval of increase is (-∞; ∞)
There are no asymptotes the line crosses the origin
The x and y intercept are both zero
The difference between the functions, y = 5·x and y = 3·x is that the slope of y = 5·x is 5 and the slope of y = 3·x is 3
2.
The similarities between the functions, y = 4 and y = (2) are;
a. The domain of y = 4 is the set of all real numbers (-∞; ∞), [tex]\left \{ x\mid x\in R \right \}[/tex] and the range is {4}
b.There are no critical point and no interval of increase or decrease
There are no asymptotes the line does not cross the origin
There are no x-intercept and y intercept is (0, 4)
Similarly, the domain of y = (2) is the set of all real numbers (-∞; ∞), [tex]\left \{ x\mid x\in R \right \}[/tex] and the range is {2}
There are no critical point and no interval of increase or decrease
There are no asymptotes the line does not cross the origin
There are no x-intercept and y intercept is (0, 2)
The difference between the functions, y = 4 and y = (2) is that the y-intercept of y = 4 is 4 and the y-intercept of y = (2) is 2
Perform the indicated operation (25m2 - 20m + 4) ÷ (5m - 2)
Hey there! :)
Answer:
5m - 2.
Step-by-step explanation:
We can use long division to divide the two expressions:
5m - 2
5m - 2 | 25m² - 20m + 4
25m² - 10m
-
0m² - 10m + 4
-10m + 4
-
0
The quotient of this operation is 5m - 2.
which of the following shows the polynomial below written in descending order?
Answer:
A
Step-by-step explanation:
Descending order is where the monomials of a polynomial are arranged in decreasing exponent order so the answer is A.
Answer:
the answer is option a because all the expression in option a is written descending power form.
Tanya has a garden with a trench around it. The garden is a rectangle with length 2.5m and width 2m. The trench and the garden together make a rectangle with length 3.5m and width 3m. Find the area of just the trench
Answer:
5.5m^2
the area of just the trench is 5.5 m^2
Step-by-step explanation:
The Area of trench only is the total area(trench and garden) minus the Area of garden
Area of trench only = total area(trench and garden) - Area of garden
Area = length × breadth
Substituting the given dimensions;
Total area = 3.5 × 3 = 10.5 m^2
Area of garden = 2.5×2 = 5 m^2
Area of trench only = 10.5 m^2 - 5 m^2
Area of trench only = 5.5m^2
the area of just the trench is 5.5 m^2
Answer:
5 1/5
Step-by-step explanation:
Classify the polynomial by its degree and the number of terms
Question: 4ab+9a
PLEASE HELP!!!
Answer:
The polynomial "4ab+9a" is a quadratic binomial
Step-by-step explanation:
It is quadratic because the degree of the term is 2. it is a binomial because it has 2 terms
Help quick plz i will make you a brainllest
Answer: B
Step-by-step explanation:
LJ should corresponds with RQ but it should correspond with PR.
Answer:
B
Segment LJ and Segment RQ
Step-by-step explanation:
look at the congruence statement
JKL≅PQR
as you can see, they do not correspond with one another
and all the other statements are pairs or congruent/corresponding parts
Ms. Stone decided to purchase 2 reusable bottles instead. When she got to the counter, she realized she had $10.15, only ⅝ of the money she needed for the purchase. How much does 1 bottle cost?
Answer:
One reusable bottle cost $8.12
Step-by-step explanation:
Let
x=total cost of the two reusable bottles
Ms stone has 5/8 if the total cost of the two reusable bottles
5/8 of x=$10.15
5/8*x=10.15
x=10.15÷5/8
=10.15×8/5
=81.2/5
=16.24
x=$16.24
The total cost of of the two reusable bottles=$16.24
If total cost of two reusable bottles=$16.24
Cost of one reusable bottle=$16.24/2
=$8.12
One reusable bottle cost $8.12
The sum of digits in two-digit number is 13. If the place values of the digits are reversed, the new number is 27 more than the original number. Find the original number.
Answer: 58
Step-by-step explanation:
The sum of the two digit number is 13. On reversing its digits the new number is 27 more than the original number find the number?
Let's set up a system with two variables: x = tens place of our answer, y = units place of our answer.
Digit sum of a two digit number is 6:
x+y=13
Reverse the digits and you get 27 more than the original value:
10y+x=10x+y+27
Now let's solve:
y=13-x
10(13-x)+x=10x+(13-x)+27
130-10x+x=130x-10x + 27
130-9x=9x+40
-90=18x
x=5
y=13-5
y=8
So our original number was 58. Sum of digits is 13. Swap the order of the digits to make 85, and you have a number 27 more than the original number.
The value of original number is, 58.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The sum of digits in two-digit number is 13.
And, If the place values of the digits are reversed, the new number is 27 more than the original number.
Now, Let the one's place digit is y and the ten's place is x of the original number.
Then, We get;
⇒ x + y = 13 .. (i)
And, If the place values of the digits are reversed, the new number is 27 more than the original number.
So, We get;
⇒ 10y + x = 27 + 10x + y
⇒ 10y - y + x - 10x = 27
⇒ 9y - 9x = 27
⇒ y - x = 3
⇒ y = x + 3 ... (ii)
Substitute the value of y from (ii) in (i), we get;
⇒ x + y = 13
⇒ x + x + 3 = 13
⇒ 2x = 13 - 3
⇒ 2x= 10
⇒ x = 5
And, From (ii);
⇒ y = x + 3
⇒ y = 5 + 3
⇒ y = 8
Thus, The original number is,
⇒ 10x + y = 10 × 5 + 8
= 50 + 8
= 58
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WILL GIVE BRAINLIEST THANKS AND 5 STARS... PLZ HELP
Answer:
507x223 is greater than 530 x 200
914x385 is less than 900 x 400
a mortor-boat whose speed is 30km/hr in water goes 30km downstream and comes back in a total time of 4hrs 30 minutes find the speed of the stream.
Answer:
The speed of the stream is 22.36 km/h.
Step-by-step explanation:
The course of the boat contains two stages of equal length. On the first one he is going downstream, so its resultant speed is "30 + x" km/h, where "x" is the speed of the stream. On the other hand for the second part of the course he is going against the stream, so the resultant speed is " 30 - x" km/h. The time of each course must be:
[tex]t_1 = \frac{30}{30 + x}[/tex]
[tex]t_2 = \frac{30}{30 - x}[/tex]
The sum of these times must be equal to the total time of the course, therefore:
[tex]t_1 + t_2 = 4.5\\\frac{30}{30 + x} + \frac{30}{30 - x} = 4.5\\\frac{30*(30 - x) + 30*(30 + x)}{(30 + x)(30 - x)} = 4.5\\900 - 30*x + 900 + 30*x = 4.5*(900 - x^2)\\4050 - 4.5*x^2 = 1800\\4.5*x^2 = 4050 - 1800\\4.5*x^2 = 2250\\x^2 = \frac{2250}{4.5}\\x^2 = 500\\x = 22.36[/tex]
The speed of the stream is 22.36 km/h.
Please help me if you can thanks
Step-by-step explanation:
a, 3
b,
draw lines through the corresponding corners of each shape These lines will cross at the centre of enlargement O
• How can you tell that a point on the graph is a maximum, a minimum, or neither?
Answer:
If it is on the maximum, then the y-value of the point cannot be any higher and still be on the graph of the function. If it is on the minimum, the the y-value of the point cannot be any lower and still be on the graph of the function. If it isn't either the maximum or the minimum, it is neither.
Brent Pokott borrowed $4000 from his brother Dave. He agreed to repay the money at the end of 3 years, giving Dave the same amount of interest that he would have received if the money had
been invested at 1.25% compounded quarterly. How much money did Brent repay his brother?
(Round to the nearest cont as needed)
Answer: Brent repay $4152.61 to his brother.
Step-by-step explanation:
Formula to calculate compound amount : [tex]A =P(1+\dfrac{r}{4})^{4t}[/tex]
, where P= principal amount
r= rate of interest (in decimal)
t= time
As per given, we have
P= $4000
t= 3 years
r= 1.25% = 0.0125 [we divide a percentage by 100 to write in simple form]
Now, substitute these values in the formula
[tex]A=4000(1+\dfrac{0.0125}{4})^{4\times3}\\\\=4000(1.003125)^{12}\\\\=4000\times1.03815129256\\\\\approx4152.61 \ \ [\text{To the nearest cent.}][/tex]
Hence, Brent repay $4152.61 to his brother.
question 1: 5 1/8 is 2/3 of what number?
question 2: what fraction of 9 3/8 is 4 3/8?
Answer:
1) [tex]7 \frac{11}{16} [/tex]
2) [tex] \frac{7}{15} [/tex]
Step-by-step explanation:
1) Let's convert the mixed fraction into a improper fraction.
[tex]5\frac{1}{8} \\ = \frac{5(8) + 1}{8} \\ = \frac{41}{8} [/tex]
Let the number be x.
[tex] \frac{2}{3} x = \frac{41}{8} \\ x = \frac{41}{8} \div \frac{2}{3} \\ x = \frac{41}{8} \times \frac{3}{2} \\ x = \frac{123}{6} \\ x = 7 \frac{11}{16} [/tex]
2)[tex]4 \frac{3}{8} = \frac{35}{8} [/tex]
[tex]9 \frac{3}{8} = \frac{75}{8} [/tex]
[tex]4 \frac{3}{8} \div 9 \frac{3}{8} \\ = \frac{35}{8} \div \frac{75}{8} \\ = \frac{35}{8} \times \frac{8}{75} \\ = \frac{7}{15} [/tex]
Find the solution set.9x^2-3x=2 separate the two values with a comma.
Answer:
x = -1/3, 2/3
Step-by-step explanation:
Step 1: Isolate everything to one side
9x² - 3x - 2 = 0
Step 2: Factor
(3x + 1)(3x - 2) = 0
Step 3: Find roots
3x + 1 = 0
3x = -1
x = -1/3
3x - 2 = 0
3x = 2
x = 2/3
Find an equation that fits this graph:
Answer:
y = -2/3x + 4
Step-by-step explanation:
Use formula for slope given two points.
m = (y2 - y1)/(x2 - x1)
The two points are (0, 4) and (6, 0)
m = (0 - 4)/(6 - 0)
m = -4/6
m = -2/3
y = -2/3x + b
The y-intercept b is 4.
solve 9x-2y=11 for y
Answer:
y=9/2x-11/2
Step-by-step explanation:
-2y=11-9x
y=11-9x/-2
y=9/2x-11/2
Answer:
y= 9/2x - 11/2
or
y=4.5x -5.5
Step-by-step explanation:
To solve for y, we must get y by itself on one side of the equation.
9x-2y=11
9x is being added to 2y. The inverse of addition is subtraction. Subtract 9x from both sides.
9x-9x -2y= 11-9x
-2y= 11-9x
y is being multiplied by -2. The inverse of multiplication is division. Divide both sides by -2.
-2y-/2= 11-9x/-2
y= 11/-2 - 9x/-2
y=- 11/2 +9/2 x
or
y= -5.5 +4.5 x
Reorder the terms.
y= 9/2x - 11/2
or
y=4.5x -5.5
If f = (1,2) , (3,4) , (5,6) and g = (2,3) , (4,6) , (6,8) . Find the composite of gof. does fog exist?
Answer:
[tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].
[tex]f\circ g[/tex] does not exist.
Step-by-step explanation:
It is given that,
[tex]f=\{(1,2),(3,4),(5,6)\}[/tex]
[tex]g=\{(2,3),(4,6),(6,8)\}[/tex]
We need to find the composition gof.
[tex](g\circ f)(x)=g(f(x))[/tex]
Now,
[tex](g\circ f)(1)=g(f(1))=g(2)=3[/tex]
[tex](g\circ f)(3)=g(f(3))=g(4)=6[/tex]
[tex](g\circ f)(5)=g(f(5))=g(6)=8[/tex]
So, [tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].
We need to check whether [tex]f\circ g[/tex] exist of not.
If range of g(x) is subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] exists.
Now,
Range of g(x) = {3,6,8}
Domain of f(x) = {1,3,5}
Since range of g(x) is not a subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] does not exist.
Help me cuh what are the period and vertical shift of the cosecant function below?
Answer:
Period: 2pi vertical shift: 2 units up
Step-by-step explanation:
Answer:
D. period: 4pi; vertical shift: 2 units up
Step-by-step explanation:
Just did the test right now hope this helps some of yall :)
Given the equation 2x² - 5x + 7 = 0. Find the discriminant. Describe the roots and explain your reasoning.
Answer:
The discriminant of a quadratic equation is a parameter that is used to determine the nature of the roots of the equation. The discriminant can be determined by b2- 4ac. In this case, upon substitution, 25- 4*2*7 = -31 in which the roots are negative and iimaginary.
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Step-by-step explanation:
Answer:
The discriminant is -31.
Step-by-step explanation:
The discriminant of an equation is b^2 - 4ac. In this case, a = 2, b = -5, and c = 7.
(-5)^2 - (4 * 2 * 7) = 25 - (8 * 7) = 25 - 56 = -31. Because the discriminant is negative, it is less than 0. That means that there is no real solution.
Hope this helps!
Point L is located at (4, -3) and M is located at (-8, 5). Find the y value of the point that lies halfway between L and M.
Answer:
y = 1
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (4, - 3) and (x₂, y₂ ) = (- 8, 5), thus the y value of midpoint is
y = [tex]\frac{1}{2}[/tex] (- 3 + 5) = 0.5 × 2 = 1
Help please on linear math
Answer:
D
Step-by-step explanation:
[tex]y=\frac{-9x-5}{-8}[/tex]
factoring out a negative[tex]y=\frac{9x+5}{8}[/tex]
Answer:
[tex] \frac{5}{8} [/tex]Option D is the correct option.
Step-by-step explanation:
Given that
9x - 8y = 0
finding y-intercept
put x = 0 , we get
9(0) - 8y + 5 = 0
Calculate the product
-8y + 5 = 0
Move the constant to L.H.S and change its sign
-8y = 0 - 5
Calculate the difference
-8y = -5
divide both sides of the equation by -8
-8y/-8 = -5/-8
Calculate
y = 5/8
Hope this helps...
Good luck on your assignment...
which shape is a parallelogram?
Answer:
A,C,and D are parralelograms
The parallelogram are shapes with figures having opposite sides which are parallel
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The sum of angles of a parallelogram is 360°
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
Now , from the figure 1
a)
The figure is having opposite sides are parallel
where AB = CD
And , BC = AD
So , it is a parallelogram
b)
The figure does not have any sides parallel
So , it is not a parallelogram
c)
The shape is having 2 sides as parallel
And , AB = CD
So , it is a parallelogram
d)
The shape is having 2 sides as parallel
And , AB = CD
So , it is a parallelogram
Hence , the parallelogram is solved
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What is the slope of the line shown below?
Answer:1/2
Step-by-step explanation:
8-2/5--7
6/12
1/2
hope i helped
can i have brainliest pls? (desperately trying to level up)
-Zylynn
In circle C. r = 32 units.
What is the area of circle C?
A
32īt units?
c
641 units?
256TI units
1024Tt units?
Answer:
1024 pi
Step-by-step explanation:
r = 32 units.
Area = pi * r^2
Area = 3.14 * 32^2
Area = 1024 * pi
Tt = pi??
P(x)=(1-x)^2 in graph form
Answer:
See Attached
Step-by-step explanation:
Find : 5/22 + 3/7 + (-8/21) + (-6/11)
Answer:
-125/462.
Step-by-step explanation:
5/22 + 3/7 + (-8/21) + (-6/11)
= 5/22 - 6/11 + 3/7 - 8/21 The LCM of 11 and 22 is 22 and of 7 & 21= 21:
= 5/22 - 12/22 + 9/21 - 8/21
= 1/21 - 7/22 The LCM of 21 and 22 is 462:
= 22/462 - 147/462
= -125/462.
Square all the integers from 1 to 10 inclusive. Then, round each number to the nearest hundred. Finally, sum the numbers. What do you get?
Answer:
22.467
Step-by-step explanation:
Hello,
You just have to do the computation in XL or using a calculator, and round each number to the nearest hundred
x sqrt(x)
1 1
2 1.414
3 1.732
4 2
5 2.236
6 2.449
7 2.646
8 2.828
9 3
10 3.162
and do the sum which is 22.467
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
300
Step-by-step explanation:
First let's square all the integers from 1 to 10 inclusive. We get:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
9^2 = 81
10^2 = 100.
Rounding to the nearest hundred, we get that 1, 4, 9, 16, 36, and 49 all round to 0 and 64, 81, and 100 round to 100.
Therefore, we obtain
0+0+0+0+0+0+0+100+100+100,
or 300.
HELP PLEASEEE 9th Grade Geometry
Step-by-step explanation:
AD ≅ BC, Given
∠BCD ≅ ∠ADC, Given
CD ≅ CD, Reflexive property
ΔBCD ≅ ΔADC, SAS congruence
∠BDC ≅ ∠ACD, CPCTC
ΔECD is an isosceles triangle, definition of isosceles
DE ≅ CE, properties of isosceles triangles
Adding to "undo" subtraction and subtracting to "undo" addition are both examples of using inverse operations to solve equations. Think of another pair of inverse operations in mathematics. How do these inverse operations "undo" each other?
Answer:
see below
Step-by-step explanation:
Multiplication and division are also inverse operations
15 * 10 = 150
150 ÷10 = 15
Divide 150 by 10 and we get 15 back
The division undoes the multiplication
This also works in reverse
150 ÷ 10 = 15
15*10 =150
The multiplication undoes the division
What is the ratio of the Volume of the smaller pyramid to the larger pyramid