The solution to the equation y = 5x - 5 is given by the ordered pairs
( 0 , -5 ) , ( 1 , 0 ) , ( 2 , 5 ) , ( 3 , 10 ) , ( 4 , 15 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
y = 5x - 5 be equation (1)
On simplifying the equation , we get
Substitute the value of x = 0 in the equation , we get
y = 5 ( 0 ) - 5
y = 0 - 5
y = -5
So , the ordered pair is ( 0 , -5 )
Substitute the value of x = 1 in the equation , we get
y = 5 ( 1 ) - 5
y = 5 - 5
y = 0
So , the ordered pair is ( 1 , 0 )
Substitute the value of x = 2 in the equation , we get
y = 5 ( 2) - 5
y = 10 - 5
y = 5
So , the ordered pair is ( 2 , 5 )
Substitute the value of x = 3 in the equation , we get
y = 5 ( 3 ) - 5
y = 15 - 5
y = 10
So , the ordered pair is ( 3 , 10 )
Substitute the value of x = 4 in the equation , we get
y = 5 ( 4 ) - 5
y = 20 - 5
y = 15
So , the ordered pair is ( 4 , 15 )
Hence , the equations are solved
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Mai solved the equation below incorrectly. Identify Mai's error and then solve the equation correctly.
X-9) = {(x + 18)
3x - 3= kx +9
1
4
X-3=9
1
41
-x = 12
X = 48
What was Mai's error?
Answer: Please see explanation column for answer.
x= -36
Step-by-step explanation:
Step 1
from the attachment, Mai's solving is given as
1/3 (1/2x- 9) = 1/2 (x+18)
1/6x-3= 1/2x+9
1/4x-3=9
1/4x=12
x=48
Mai's error started when he subtracted wrongly 1/2 x from 1/6x which gave him 1/4 x instead of - 1/3 x.
Solving correctly, we have that
1/3(1/2x-9) = 1/2(x+18)
1/6x -3= 1/2x+ 9
taking like terms to like terms
1/6x-1/2x= 9+3
(1-3)/6x= 12
-2/6x= 12
-1/3x= 12
multiplying both sides by -3
-1/3x X -3 = 12 X -3
x= -36
what is the best lofi chill song for study
Answer:
"Chilling in a Quiet Park Outside the City" by Cat Paw.
Step-by-step explanation:
A textbook store sold a combined total of 435 psychology and sociology textbooks in a week. The number of sociology textbooks sold was 61 less than the number of psychology textbooks sold. How many textbooks of each type were sold?
Answer:
248 psych books, 187 soc books.
Step-by-step explanation:
x psych books were sold
x-61 soc books were sold
Total books was 435.
So -
x+x-61 = 435
2x-61 = 435
2x = 496
x = 248.
so x-61 = 187 and
248+187 = 435.
248 psych books, 187 soc books.
The sum of the success rate and the failure rate should equal the total amount of trials.
True or False
Answer: True
Step-by-step explanation:
For example, randomly guessing at a true-false statistics question has only two outcomes. If a success is guessing correctly, then a failure is guessing incorrectly.
The cylindrical part of an architectural column has a height of 315 cm and a diameter of 30 cm. Find the volume of the cylindrical part of the column. Use 3.14 for n and round your answer to the nearest cubic centimeter if needed.
Answer:
Your answer would be A. 222.548 cm^3
Step-by-step explanation: I did it on a p e x and got it right :)
Leo makes a cake by mixing flour, eggs and sugar in the ratio 5 : 3 : 2. If he uses 120 g of sugar, what weight of eggs will he need?
Answer:
180g of eggs
Step-by-step explanation:
divide 120 by 2 = 60
then times 60 by 3 = 180g
Mikayla worked the same number of hours each day for 4 days during one week. She worked less than 20 hours total for that week. Which graph represents the number of hours per day she could have worked? (Assume the number of hours is greater than 0.)
I made this just to tell everyone that the answer is : A number line from 0-10 theres an open circle on 5 and everything to the left is shaded . On my screen it was A
Answer:
A
Step-by-step explanation:
Correct On EDG
Pls mark me brainllest
Answer:
A.
Step-by-step explanation:
Can anyone help me with this please
Answer:
its 34
Step-by-step explanation:
46
For the first two use the formula [tex]A^2 + B^2 = C^2[/tex]
[tex]15^2 + 36^2 = C^2(unknown)[/tex]
Calculate 15 x 15 + 36 x 36 = 1521
Now its
1525 = C^2
Fins the squeare root of 1521 whitch is 39
and square c^2 as well whitch make it C^1 or simple C
This give us a final anwser of the missing side
39 = C
Second triangle
For this the formual is different since we are not finding the lenght of the hypotunus (C), we know this becauee the missing angle is met my a 90 digree angle.
Here the equasion is C^2 - A^2 = B^2
WE will it in again
15^2 - 9^2 = B^2
Calaulate 15 x 15 - 9 x 9 = 144
Now its 144 = B^2
Again we find the square root for each side
Square root of 144 is 12
and Square root of B^2 is Simpley B
We put in togethe to find the final anwser whitch is
12 = B
For the last two it is simple
All angles of a triangle added together must always equal 180 degrees
So it the two side are 75 and 32 we add them (75+32) to get 107
Now we just subtract that amount (107) form 180 to get the third missing angle. 180 - 107 = 73
Here the missing angle is 73
One way to know if this is correct is to add all side and see if it equaels 180
75 + 32 + 73 = 180
For the second question it seems to be exactly the same as the first in the photo so the anwser would also be 73.
Hope this helps! :)
PLEASE HELP (algebra 1)
A sports store employee needs to decide how many soccer balls to put on display. The store manager wants the number of soccer balls on display to be at least two more than the number of basketballs on display. The
store employee represents this restriction as y2 + x, where x is the number of basketballs, and y is the number of soccer balls on display
Which of the following ordered pairs represent viable solutions in terms of the context? Select all that apply.
(4. 10)
(15, 18,5)
(14, 12)
(10, 12)
(-1,3)
Answer:
I think it's 15 18 and 5 or 14,12
The solution are (4, 10) and (10, 12).
What is inequality?The phenomenon of unequal or unequal distribution of resources and opportunities among members of a given society is referred to as inequality. In different contexts and for different people, the concept of inequality may mean different things. In addition, there are distinct but interconnected economic, social, and spatial dimensions to inequality. The disjuncture between the moral ethics of equity and social justice, on the one hand, and the normative concept of "deservingness," on the other, adds complexity to debates about inequality.
Given equation of inequality for basket ball and soccer ball
y ≥ 2 + x
where x is the number of basketballs, and y is the number of soccer balls on display,
situation says the second number must be at least 2 more than the first number. Also, we are dealing with basket ball and soccer ball, so we won't have negative numbers (Choice E is out) or fractions (Choice B is out).
for choice A: x = 4 and y = 10 (10 is 6 more than 4)
for C: x = 14 and y = 12 (12 is 2 lee than 14 it is not correct)
for D: x= 10 and y = 12 (12 is 2 more than 10)
Hence the option A and D is correct representation for solutions.
Learn more about inequality;
https://brainly.com/question/20383699
#SPJ2
Which number line represents the solution set for the inequality - 1x24?
+
-10
-8
-6
-4
-2.
0
+
4
+
6
2.
+
8
10
+
+
-10
-8
-6
-4
+
0
+
4
-2
+
8
2
co
10
+
-10
+
-8
--6
-4
-2
0
2
4
6
8
10
+
-10
--8
-6
-4
-2.
O
2
4
6
8
10
Answer:
the second one is the answer
can someone please help me? make it right..
Answer:
6.83and 7.03 this is the answer
Answer:
6.83, 6.93, 7.03, 7.13, 7.23, 7.33 always add .10 each time.
Step-by-step explanation:
In a final exam, need this rn (25 points)
Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future; however, its value depreciates monthly. The expression shows the depreciated sales value of the gadget:
2,020 − 22m
What does the coefficient of the expression represent?
a.The number of months Megan will wait to sell the gadget
b.The monthly depreciation value of the gadget
c. The amount of money Megan will get when she sells the gadget
d.The original value of the gadget
Answer: B
Step-by-step explanation:
Answer:
the answer to this question would be B
Solve for Y
13= 4y+5
y=?
Please help this is my last question and it’s due by 10 PM
sorry there’s only 11 points •.•
Which of the following have 4 as the GREATEST common factor (GCF).
Select ALL that apply.
4 + 8y
4x + 40y - 400
24x - 16y
x - 4y + 16x
4 - 12x
Answer:
4-12
4+8y
I hope this helped.
Help.me if u can need it
Answer:
78 is the correct answer hope it helps
Order Numbers least to greatest -4.3, 5/4 ,8.2, -6/2, 4, -2.5, 5.33
Subtract -5x^2+7x+1 from 8x^2+x-10
I will give brainleist
Answer:
3x² + 8x - 9
Step-by-step explanation:
8x² - 5x² +x+7x-10+1
=3x² + 8x - 9
What is the constant of proportionality? What does it represent?
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. It can represent a number of things such as; increase or decrease in a set of numbers, a (x,y) point on a graph, or it can just be shown in a table to show rate change.
Can someone help me PLEASE!!!!!!!!!!
Answer:
1, 4, and 5
Step-by-step explanation:
18-2x5
18-10
8
6+4x4
6+16
22
6x9-9
54-9
45
7x9+1
63+1
64
4x6-6
24-6
18
The line L is a tangent to the circle x2 + y2 = 45 at the point (-3, 6).
The line L crosses the x-axis at the point P.
Work out the coordinates of P.
Answer:
The point P is (-15,0).
Step-by-step explanation:
We need to find the slope of the line L to get the coordinates of P.
We know that L is tangent to the circle at point (-3, 6), which means L is perpendicular to the radius of the circle (a line between the origin (0,0) and the tangent point (-3,6))
So let's find the slope or the radius.
[tex]m_{R}=\frac{6-0}{-3-0}[/tex]
[tex]m_{R}=-2[/tex]
Now, we know that if two lines are perpendiculars their slopes follow the rule:
[tex]m_{L}=-\frac{1}{m_{R}}[/tex]
[tex]m_{L}=\frac{1}{2}[/tex]
Knowing the slope of L we can find the equation of this line. The slope-intercept equation of a line is:
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{2}x+b[/tex]
Using the point (-3,6) we can find b.
[tex]6=\frac{1}{2}(-3)+b[/tex]
[tex]b=\frac{15}{2}[/tex]
The line equation will be:
[tex]y=\frac{1}{2}x+\frac{15}{2}[/tex]
The point P has only an x-coordinate value (x,0)
So we have:
[tex]0=\frac{1}{2}x+\frac{15}{2}[/tex]
[tex]x=-15[/tex]
Therefore, the point P is (-15,0).
I hope it helps you!
hi, pls help.
Why do Jews consider the Western Wall in Jerusalem a sacred place? *
1. It was built by King Solomon.
2. It was all that was left of the Second Temple after the Romans destroyed it.
3. It was the place where Abraham settled.
4. It was constructed with the stones that held the Ten Commandments.
Answer:
Hope that helps
Step-by-step explanation:
It was constructed with the stones that held the Ten Commandments.
Answer:
all that was left of the second temple after the roans destroyed it
Step-by-step explanation:
An amount of $5,000 is invested. The interest rate is 2%.
Answer:
A = 5000(1 + 0.06/2)(2)(4) = 5000(1.03)(8) = $6333.85.
Step-by-step explanation:
Answer:
$2191.12
Step-by-step explanation:
plz help help meeeee
Answer:
23
Step-by-step explanation:
remove your answer
Find the value of x so that the function has the given value.
q(x)=12x−3; q(x)=−4
Answer:
x = -1/12
Step-by-step explanation:
q(x) = 12x − 3
q(x) = −4
-4 = 12x − 3
12x - 3 = -4
12x = -4 + 3
12x = -1
x = -1/12
y = 3x
-3.x - y = -24
solve by substitution
Ashton just launched a new business page on social media. After one month, she has 35 followers.
She decides to take a course that promises to triple her number of followers each month for 6
months. After 7 months, how many followers will Ashton have if this is true?
Answer:
122.5
Step-by-step explanation:
If it triples her followers per 6 months then it gives her half of her followers in one month. So 35 times 3.5 which is 122.5
After [tex]7[/tex] months, Ashton will have [tex]25,515[/tex] followers.
What is modelling ?Modelling is the process of creating a mathematical representation of a real-world scenario to make a prediction or provide insight.
We have,
Number of followers [tex]=35[/tex]
So, Every month increase is triple i.e. [tex]3[/tex] times for next [tex]6[/tex] months.
So,
According to the question,
Every month increase [tex]=\ 3\ *\ Current\ Follower[/tex]
So,
Followers after [tex]7[/tex] months [tex]= 35*(3)^6[/tex]
Because followers are increasing at the rate of three times per month,
So,
Followers after [tex]7[/tex] months [tex]= 35*(3)^6=25,515[/tex]
Hence, we can say that After [tex]7[/tex] months, Ashton will have [tex]25,515[/tex] followers.
To know more about Modelling click here
https://brainly.com/question/14425880
#SPJ3
plz solve this (t+p)4
Answer:
4t+4p
Step-by-step explanation:
The point Q has coordinates (2,3)
The point R has coordinates (a, b)
A line perpendicular to QR is given by the equation 5x + 2y = 9
Find an expression for b in terms of a. W
Answer:
b= (2a+11)/5
Step-by-step explanation:
5x + 2y = 9
2y=9-5x
y= 9/2 - 5x/2
slope, m1= -5/2
for perpendicularity, m1 × m2 = -1
slope for QR= m2=
[tex] = - 1 \div \frac{ - 5}{2} = - 1 \times \frac{2}{ - 5} = \frac{ - 2}{ - 5} = \frac{2}{5} [/tex]
m2 is 2/5
[tex]qr = \frac{b - 3}{a - 2} [/tex]
[tex] \frac{2}{5} = \frac{b - 3}{a - 2} [/tex]
5(b-3)=2(a-2)
5b-15=2a-4
5b=2a-4+15
5b= 2a+11
[tex]b = \frac{2a + 11}{5} [/tex]
An expression for b in terms of a is b = (2a + 11)/5.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given an equation of a line 5x + 2y = 9 ⇒ 2y = - 5x + 9 ⇒ y = (-5/2)x + 9/2.
So, the slope of the line parallel to QR is the slope negative reciprocal of (-5/2) which is (2/5).
We know slope m = (b - 3)/(a - 2).
∴ (2/5) = (b - 3).(a - 2).
2(a - 2) = 5(b - 3).
2a - 4 = 5b - 15.
2a + 11 = 5b.
b = (2a + 11)/5.
learn more about lines and slopes here :
https://brainly.com/question/3605446
#SPJ6
what is the square root of 1/64
The square root of 1/64 is 1/8.
To find the square root of 1/64, we can simplify the fraction first by taking the square root of both the numerator and the denominator separately.
The square root of 1 is 1,
and the square root of 64 is 8:
So, √(1/64)
= √1 / √64
= 1/8
Therefore, the square root of 1/64 is 1/8.
Learn more about Square Root here:
https://brainly.com/question/29286039
#SPJ6
Determine the value of x for the following isosceles triangle.
Given :
▪︎This triangle is an isosceles triangle.
▪︎Measure of one of its legs = 6 inches
▪︎Measure of its equivalent leg [tex] = \tt \frac{x}{9} [/tex] inches
▪︎Measure of its base [tex] = \tt \frac{5}{2} [/tex] inches
Which means :
[tex] =\tt 6 = \frac{x}{9} [/tex]
[tex] =\tt \frac{6}{1} = \frac{x}{9} [/tex]
[tex] =\tt 6 \times 9 = x \times 1[/tex]
[tex]\hookrightarrow\color{plum}\tt 54 = x[/tex]
Let us check whether or not we have found out the correct value of x by placing 54 in the place of x :
[tex] =\tt 6 = \frac{54}{9} [/tex]
[tex] = \tt6 = 6[/tex]
Since the Left Hand Side of the equation is equivalent to the Right Hand Side of the equation, we can conclude that we have found out the correct value of x.
▪︎Therefore, the value of x = 54
