Answer:
5-2
28 - 5²
17 - 7 × 2
[tex]\frac{28}{4}-4[/tex]
5 × 3 - 4 × 3
Step-by-step explanation:
Let x and y be any two numbers,
Such that,
y - x = 3,
⇒ y = 3 + x
Where, x is any positive real number.
Thus, we can find such equation by using this,
Such equations could be,
5 - 2, 28 - 25, 17 - 14, 7 - 4, 15 - 12
or
5-2, 28 - 5², 17 - 7 × 2, [tex]\frac{28}{4}-4[/tex], 5 × 3 - 4 × 3
Five equations where the difference is equal to 3 are, respectively:
(i) [tex]y - x = 3[/tex]
(ii) [tex]y + 9\cdot x = 3[/tex]
(iii) [tex]y -5\cdot x = 3[/tex]
(iv) [tex]y +2\cdot x = 3[/tex]
(v) [tex]y -11\cdot x = 3[/tex]
Reminder - Statement is incomplete. After some research, we determine that complete form is: "Write 5 linear equations where the difference is equal to 3".
From Analytical Geometry, a Linear Equation is an expression of the form:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable.[tex]m[/tex] - Slope.[tex]b[/tex] - Intercept.Based on the question, we need to write 5 expressions so that:
[tex]y - m\cdot x = b[/tex]
If we know that [tex]b = 3[/tex], then we get the following expressions:
(i) [tex]y - x = 3[/tex]
(ii) [tex]y + 9\cdot x = 3[/tex]
(iii) [tex]y -5\cdot x = 3[/tex]
(iv) [tex]y +2\cdot x = 3[/tex]
(v) [tex]y -11\cdot x = 3[/tex]
Please see this question related to Functions: https://brainly.com/question/22105858
simplify i^31 (click photo for options)
The required solution of i^31 is -i.
What is simplification?Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.
Now the given expression is,
i^31
This can be written as,
= i^(30+1)
or, we can express it as,
= i^30 . i
or, we can write,
= (i^2)^15 . i
Since i^2 = -1
Therefore we can write,
= (-1)^15 . i
Again since, (-1)^15 = -1
Thus,
i^31 = -i
which is the required solution of the given expression.
Thus, the required solution of i^31 is -i.
To learn more about simplification:
https://brainly.com/question/1280518
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You commute to work by riding a bus each day for $4.25 round trip. a weekly pass is available for $19.75 a week. if you work 5 days a week, how much can you save by buying the pass? $2.00 $1.75 $1.50 $1.25
Answer:
it's $1.50
Step-by-step explanation:
Let's say we have a circle with a radius of 17 inches. What is the circumference of this circle in inches? Round your answer to the hundredths place.
54.78
86.23
91.1
106.81
SIMPLIFY THIS EQUATION!
a³ b¹⁰
------
a² b²
MATH HELP WILL MARK BRAINLIEST !!!!!!!!
1. sum of a number plus 6 is 7 times the number:
n+6 = 7n
2. qoutent of a number and 5 is 8
n/5 =8
n = 5*8
n = 40
3. distance = speed times time
so d = 55t
Which number sentence shows equivalent fractions?
A.
B.
C.
D.
PLZ help WILL RATE HELP AND TRY TO ANSWER ITS TRICKY
Find the GCF of the following monomials -50m^4n^7 and 40m^2 n^10
Answer:
the correct answer for this problem is,
the GCF is,
10m^2 n^7
:)
Which phrase describes the variable expression y-5
In a 3-digit number, the hundreds digit is three more than the units digit, and the tens digit is twice the hundreds digit. If the sum of the digits is 13, find the three digits. Find the number.
35% of it is 5.5% of 56
Answer:
8.8
Step-by-step explanation:
Solve for p. P/3 -2=1
On Day 16, Ebony deposited $100 into her account. On each day after Day 16, segment 5, Ebony made a deposit, and those deposits were equal to each other.
Step-by-step explanation:
The estimated end total is $300 and the beginning was $0, so after day 16, she'll deposit $40 each day.
A triangle has two sides of lengths 4 and 5? What is the value of the third side?
i need help with two math problems.
Question 1- Given the quadratic function f(x)=x^2+1, find the value of (2). Make sure to show all work! The answer is f(2)=5 but i need to know how to show the work!
Question 2- Find f(3) when f(x)=x^2-3x^2+2. Make sure to show all your work!
The answer is f(3)=-16 I need to know how to show the work!
I need help in math!
What is 4x-7xy+9xy-7pq
4 puzzle time how can you share five apples with seven friends answers
PLEASE HELP ASAP I AM TIMED
What is the area of a triangle whose vertices are J(−2, 1) , K(4, 3) , and L(−2, −5) ?
_______units²
The new shanghai restaurant offers a choice of three appetizers, five choices of soups, and ten choices of entrees for its lunch special. how many different complete lunches can be ordered from the restaurant's lunch special menu?
What is the point slope form?
(8,9) m = 0.5
Please show work.
A wildlife biologist is interested in the relationship between the number of chirps per minute for crickets (y) and temperature. based on the collected data, the least-squares regression line is y x ˆ = + 10.53 3.41 , where x is the number of degrees fahrenheit by which the temperature exceeds 50°. give a sentence that describes the meaning of the slope of the least-squares regression line
Final answer:
The slope of 3.41 in the least-squares regression line y = 10.53 + 3.41x indicates that for every one degree Fahrenheit increase in temperature above 50°, the number of cricket chirps per minute is expected to increase by an average of 3.41 chirps.
Explanation:
The slope of the least-squares regression line in the relationship between the number of chirps per minute for crickets (y) and temperature is 3.41. This number represents the average increase in the number of chirp per minute for every degree Fahrenheit that the temperature is above 50°. Therefore, if the temperature increases by one degree Fahrenheit, the expected number of cricket chirps per minute increases by an average of 3.41 chirps.
The slope of the least-squares regression line, which is 3.41, indicates that for every degree Fahrenheit the temperature exceeds 50°, the number of chirps per minute for crickets increases by 3.41 chirps.
In a linear regression equation of the form y = a + bx, the slope (b) represents the change in the dependent variable (y) for a one-unit change in the independent variable (x).
In this context, the slope (b) is 3.41, which means that for each additional degree Fahrenheit above 50°, the model predicts an increase of 3.41 chirps per minute by the crickets.
The intercept of the regression line is 10.53, which represents the baseline number of chirps per minute when the temperature is exactly 50°F.
The complete question is:
A wildlife biologist is interested in the relationship between the number of chirps per minute for crickets (y) and temperature. Based on the collected data, the least-squares regression line is yˆ = 10.53 + 3.41x, where x is the number of degrees Fahrenheit by which the temperature exceeds 50°. Give a sentence that describes the meaning of the slope of the least-squares regression line.
ΔRST is dilated about the origin, O, to create ΔR'S'T'. Point R is located at (3, 9), and point R' is located at (1.2, 3.6). Which scale factor was used to perform the dilation?
Answer:
a scale factor is a number that u multiply one set of points by to get to the other set
Step-by-step explanation:
please help
What is the value for X?
- 24
-9
-21
-14
what is the measure of <1?
- 45
- 60
- 120
-125
Answer:
x = 21∠1 = 120°Step-by-step explanation:
The two interior same-side angles are supplementary, so ...
... (5x +15)° +(3x -3)° = 180°
... 8x +12 = 180 . . . . . . . . . divide by °, collect terms
... 8x = 168 . . . . . . . . . . . . subtract 12
... x = 21 . . . . . . . . . . . . . . . divide by 8
Obtuse ∠1 has the same measure as its corresponding angle, (5x+15)°, so is ...
... ∠1 = (5·21 +15)° = 120°
If an experiment consists of five outcomes with p(o1) = 0.10, p(o2) = 0.20, p(o3) = 0.30, p(o4) = 0.25, then p(o5) is
Draw the graph of a rational function that is increasing for x<-4 and decreasing for x>-4 on the coordinate plane below
Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent. Given: ∠C, ∠F are rt. ∠'s; ∠B = ∠E; BC = EF
Answer:
Angle Side Angle
Step-by-step explanation:
Here, the following triangles are congruent by using Angle Side Angle
∠c=∠F(90°) (Angle)
BC=EF (Given) (Side)
∠B=∠E (Given) (Angle)
By using Angle Side Angle criteria, we can say that
Both the triangles are congruent
Hence, Both triangles are congruent by using ASA criteria.
How can you decompose the composite figure to determine its area?
In order to find the area of the given figure we have to decompose into geometrical figures whose area could be easily calculated by the use of the mathematical formulas we know.
Hence, we decompose it into:
1 semicircle. 2 trapezoids with one common base. 1 rectangle.The decomposition could be seen with the help of diagram attached to the answer.
Answer:
as two semicircles and a rectangle
Step-by-step explanation:
the difference between the measures of two complementary angles is 46. determine the measures of the two angles?
Final answer:
To determine the measures of two complementary angles with a 46-degree difference, you can set up an equation and solve for the angles, resulting in approximately 22.0 degrees and 68.0 degrees.
Explanation:
Complementary angles are two angles that add up to 90 degrees. If the difference between them is 46 degrees, we can set up an equation to find their measures:
Let one angle be x. The other angle would then be 90 - x.
Given that the difference between them is 46, we have the equation: 90 - x - x = 46.
Solving the equation, the angles are approximately 22.0 degrees and 68.0 degrees.
Which inequality is equivalent to [tex]3+ \frac{4}{x} \geq \frac{x+2}{x} [/tex] ?
A [tex] \frac{2x+2}{x} \geq 0[/tex]
B [tex] \frac{2x+6}{x} \geq 0[/tex]
C[tex] \frac{-x+5}{x} \geq 0[/tex]
D[tex] \frac{-x+9}{x} \geq 0[/tex]
Please show work and explain. I legitimately want to understand how to solve a question like this. Thank you!
Polygons ABCD and A′B′C′D′ are shown on the coordinate grid:
What set of transformations is performed on ABCD to form A′B′C′D′?