Answer:
1. After solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]
2. After solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]
Step-by-step explanation:
We need to Solve the equations.
1. [tex]10 - 6 x = 4 + 5 x[/tex]
Step 1: Subtract 5x on both sides
[tex]10 - 6 x-5x = 4 + 5 x-5x\\10-11x=4[/tex]
Step 2: Subtract 10 on both sides
[tex]10-11x-10=4-10\\-11x=-6[/tex]
Step 3: Divide both sides by -11
[tex]\frac{-11x}{-11}=\frac{-6}{-11}\\x=\frac{6}{11}[/tex]
So, after solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]
2. [tex]7-6x=1+5x[/tex]
Step 1: Subtract 5x on both sides
[tex]7 - 6 x-5x = 1 + 5 x-5x\\7-11x=1[/tex]
Step 2: Subtract 7 on both sides
[tex]7-11x-7=1-7\\-11x=-6[/tex]
Step 3: Divide both sides by -11
[tex]\frac{-11x}{-11}=\frac{-6}{-11}\\x=\frac{6}{11}[/tex]
So, after solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]
Quiz 3-3 Parallel and Perpendicular Lines on the Coordinate Plane (Gina Wilson All Things Algebra 2014-2019) need these for a quiz please!
Answer:
14. [tex]y = -2x -1[/tex]
15. [tex]y = -\frac{3}{4}x +3[/tex]
16. [tex]y= 4x + 9[/tex]
17. [tex]y = -\frac{5}{3}x -2[/tex]
18. [tex]y= -\frac{2}{3}x -5[/tex]
19. [tex]y = 4x -3[/tex]
20. [tex]y = -3x -7[/tex]
Step-by-step explanation:
Solving (14):
Given
[tex](x_1,y_1) = (-7,13)[/tex]
[tex]Slope (m) = -2[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 13 = -2(x -(-7))[/tex]
[tex]y - 13 = -2(x +7)[/tex]
[tex]y - 13 = -2x -14[/tex]
Collect Like Terms
[tex]y = -2x -14 + 13[/tex]
[tex]y = -2x -1[/tex]
Solving (15):
Given
[tex](x_1,y_1) = (-4,6)[/tex]
[tex]Slope (m) = -\frac{3}{4}[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 6 = -\frac{3}{4}(x - (-4))[/tex]
[tex]y - 6 = -\frac{3}{4}(x +4)[/tex]
[tex]y - 6 = -\frac{3}{4}x -3[/tex]
Collect Like Terms
[tex]y = -\frac{3}{4}x -3 + 6[/tex]
[tex]y = -\frac{3}{4}x +3[/tex]
Solving (16):
Given
[tex](x_1,y_1) = (-5,-11)[/tex]
[tex](x_2,y_2) = (-2,1)[/tex]
First, we need to calculate the [tex]slope\ (m)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{1 - (-11)}{-2 - (-5)}[/tex]
[tex]m = \frac{1 +11}{-2 +5}[/tex]
[tex]m = \frac{12}{3}[/tex]
[tex]m = 4[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - (-11) = 4(x -(-5))[/tex]
[tex]y +11 = 4(x+5)[/tex]
[tex]y +11 = 4x+20[/tex]
Collect Like Terms
[tex]y= 4x + 20 - 11[/tex]
[tex]y= 4x + 9[/tex]
Solving (17):
Given
[tex](x_1,y_1) = (-6,8)[/tex]
[tex](x_2,y_2) = (3,-7)[/tex]
First, we need to calculate the [tex]slope\ (m)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-7 - 8}{3- (-6)}[/tex]
[tex]m = \frac{-7 - 8}{3+6}[/tex]
[tex]m = \frac{-15}{9}[/tex]
[tex]m = -\frac{5}{3}[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 8 = -\frac{5}{3}(x -(-6))[/tex]
[tex]y - 8 = -\frac{5}{3}(x +6)[/tex]
[tex]y - 8 = -\frac{5}{3}x -10[/tex]
Collect Like Terms
[tex]y = -\frac{5}{3}x -10 + 8[/tex]
[tex]y = -\frac{5}{3}x -2[/tex]
18.
Given
[tex](x_1,y_1) = (-6,-1)[/tex]
[tex]y = -\frac{2}{3}x+1[/tex]
Since the given point is parallel to the line equation, then the slope of the point is calculated as:
[tex]m_1 = m_2[/tex]
Where [tex]m_2[/tex] represents the slope
Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison
[tex]m = -\frac{2}{3}[/tex]
and
[tex]m_1 = m_2 = -\frac{2}{3}[/tex]
Equation in [tex]slope\ intercept\ form[/tex] is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - (-1) = -\frac{2}{3}(x - (-6))[/tex]
[tex]y +1 = -\frac{2}{3}(x +6)[/tex]
[tex]y +1 = -\frac{2}{3}x -4[/tex]
[tex]y= -\frac{2}{3}x -4 - 1[/tex]
[tex]y= -\frac{2}{3}x -5[/tex]
19.
Given
[tex](x_1,y_1) = (-2,-11)[/tex]
[tex]y = -\frac{1}{4}x+2[/tex]
Since the given point is parallel to the line equation, then the slope of the point is calculated as:
[tex]m_1 = -\frac{1}{m_2}[/tex]
Where [tex]m_2[/tex] represents the slope
Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison
[tex]m_2 = -\frac{1}{4}[/tex]
and
[tex]m_1 = -\frac{1}{m_2}[/tex]
[tex]m_1 = -1/\frac{-1}{4}[/tex]
[tex]m_1 = -1*\frac{-4}{1}[/tex]
[tex]m_1 = 4[/tex]
Equation in [tex]slope\ intercept\ form[/tex] is:
[tex]y - y_1 = m(x-x_1)[/tex]
[tex](x_1,y_1) = (-2,-11)[/tex]
Substitute values for y1, m and x1
[tex]y - (-11) = 4(x - (-2))[/tex]
[tex]y +11 = 4(x +2)[/tex]
[tex]y +11 = 4x +8[/tex]
Collect Like Terms
[tex]y = 4x + 8 - 11[/tex]
[tex]y = 4x -3[/tex]
20.
Given
[tex](x_1,y_1) = (-10,3)[/tex]
[tex](x_2,y_2) = (2,7)[/tex]
First, we need to calculate the slope of the given points
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{7 - 3}{2 - (-10)}[/tex]
[tex]m = \frac{7 - 3}{2 +10}[/tex]
[tex]m = \frac{4}{12}[/tex]
[tex]m = \frac{1}{3}[/tex]
Next, we determine the slope of the perpendicular bisector using:
[tex]m_1 = -\frac{1}{m_2}[/tex]
[tex]m_1 = -1/\frac{1}{3}[/tex]
[tex]m_1 = -3[/tex]
Next, is to determine the coordinates of the bisector.
To bisect means to divide into equal parts.
So the coordinates of the bisector is the midpoint of the given points;
[tex]Midpoint = [\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2)][/tex]
[tex]Midpoint = [\frac{1}{2}(-10+2),\frac{1}{2}(3+7)][/tex]
[tex]Midpoint = [\frac{1}{2}(-8),\frac{1}{2}(10)][/tex]
[tex]Midpoint = (-4,5)[/tex]
So, the coordinates of the midpoint is:
[tex](x_1,y_1) = (-4,5)[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1: [tex]m_1 = -3[/tex] & [tex](x_1,y_1) = (-4,5)[/tex]
[tex]y - 5 = -3(x - (-4))[/tex]
[tex]y - 5 = -3(x +4)[/tex]
[tex]y - 5 = -3x-12[/tex]
Collect Like Terms
[tex]y = -3x - 12 +5[/tex]
[tex]y = -3x -7[/tex]
Which relation is a function?( click all that apply)
Need answers for parallelogram LMNO
Answer:
what does lmno means
Step-by-step explanation:
Hi can someone please tell me what the answer is thanks!
Answer:
B. 6
Step-by-step explanation:
50 times 3/5 = 150/5 = 30
30 times 4/5 = 120/5 = 24
24 times 1/4 = 24/4 = 6
How do you write 352 in expanded form
Answer:
300+ 50 + 2
Step-by-step explanation:
If you add 300+50+2 you get 352 all you need to do is break down the number to pieces! :)
Explanation:
The number 352 has 3 in the hundreds place, 5 in the tens place, and 2 in the ones place.
So that's why 352 = 300 + 50 + 2
Write a system of equation for the following scenario.
Roshaun has saved $150 and continues to save $10 each week. Keegan starts with $0 and saves $25 each week.
Answer:
Let's start out with the amount of money each person will have over any period of time. Let t = time in weeks.
Roshaun will have 150 + 10t. Keegan will have 25t. we want to know when they will have the same amounts, so we set the 2 equations equal and solve for t:
150 + 10t = 25t
150 = 25t - 10t
150 = 15t
150/15 = t
10 = t
Therefore, in 10 weeks they will both have the same amount:
Roshaun: 150 + 10(10)--->150 + 100 = $250
Keegan; 25(10) = $250
Hope this helps!
Step-by-step explanation:
Please mark me as the brainliest answer and please follow me
What is the equation of the linear function?
= -x + 6
A
y = -2x + 3
y=-3x +3
y = ;& + 3
Done
A school keeps track of the percentage of scholars who pack lunch versus buy lunch. On Monday, 80% of scholars packed lunch. On Tuesday, 70% of the scholars who packed lunch do so again, and 50% of those who bought lunch on Monday pack lunch on Tuesday. Assume all scholars either pack lunch or buy lunch. Find the percent change in the number of scholars who bought lunch from Monday to Tuesday, and indicate whether this was an increase or decrease.
Answer:
you can also get the most of the best Friend in suluiman .70.
8(-4a + 8b) = 240please
Answer:
= -32a+64b
Step-by-step explanation:
thats the answer
A lawn-mowing company is trying to grow its business. It had 26 clients when they started its business and wants to increase by 3 new clients each week. Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.
f(x) = 3x + 26; 0 ≤ y ≤ 4
f(x) = 3x + 23; 26 ≤ y ≤ 35
f(x) = 3x + 26; 26 ≤ y ≤ 35
f(x) = 3x + 23; 0 ≤ y ≤ 4
Answer: brainlest
date: 11/28/20 time: 2:42 pm name tom
hello please mark me as brainlest and hope this is what you needed ok
Answer:
So, f(x) = 6 x + 30; 0 ≤ y ≤ 4
Step-by-step explanation:
Given: A lawn-mowing company had 30 clients when they started its business and wants to increase by 6 new clients each week.
To find: arithmetic sequence to write a function to represent the real-world situation and the range of the function for the first four weeks of data.
Solution:
A sequence is a list of numbers in a specific order following some pattern.
A sequence is said to be arithmetic if difference between the terms is same.
For the first week, number of clients = 30
For the second week, number of clients = 30 + 6(1)
For the third week, number of clients = 30 + 6(2)
For the third week, number of clients = 30 + 6(3)
For the fourth week, number of clients = 30 + 6(4)
So, f(x) = 6 x + 30; 0 ≤ y ≤ 4
Step-by-step explanation:
Answer:
A) f(x) = 6x + 30; 0 ≤ y ≤ 4
Step-by-step explanation:
I JUST TOOK THE TEST
Answer: B
Step-by-step explanation:
for all of you on FLVS, its B
Caylan is making bakes goose for a charity bake sale ha places a tray of scones a tray of muffing and a tray of cookies in the oven the second bake for 15 the muffins bake for 12 minutes and the cookies bake for 10 minutes when one tray is done he removes it a replaces it with another tray of the same item how many minutes after caylan puts the trays in the oven will he first remove the scones muffins and cookies at the same miinutes
Answer:
Step-by-step explanation:
an hour, or 60 minutes
Answer:
60 minutes
Step-by-step explanation:
i d 1 0 t
Can someone help me with 5-6
Answer:
B, C
Step-by-step explanation:
I love slope
Solve for x in the equation: 2x-7=14
Answer: x=10.5
Step-by-step explanation:
To solve for x, we want to use our properties to isolate x.
2x-7=14 [add both sides by 7]
2x=21 [divide both sides by 2]
x=10.5
Now, we know that x=10.5.
Solve for x.
9(x + 1) = 25 + x
O x= 2
O x = 3
0 x = 4
O x = 5
Answer:
Step-by-step explanation:
9(x+1)=25+x
9x+9=25+x subtract x both sides
8x+9=25 subtract 9 both sides
8x=16 divide by 8
x=2
In Joey's neighborhood the ratio of families with dogs to families with cats is 5 to 2. There are 15 more families with dogs than families with cats. How many families have cats, and how many families have dogs?
Answer:
10 families have cats
25 families have dogs
Step-by-step explanation:
The difference of ratio units is 5-2 = 3. The difference in pet counts is 15, so we can see that each ratio unit stands for 15/3 = 5 pets. Then ...
dogs : cats = 5 : 2 = (5·5) : (2·5) = 25 : 10
There are 10 families with cats and 25 families with dogs.
Answer:
B D and E.
Step-by-step explanation:
(PLEASEEE HELP) Which graph of which line represents a
proportional relationship?
Graph A
Graph B
Graph C
Graph D
Look carefully at the graph of multiple graphs shown below. Which of the graphs
represents or shows a proportional relationship?
Answer:
B
a proportional relationship in a graph needs to go through the 0.0, and also needs to be a stright line.
3 − 3k + 7k = 5b find the equation for k
Answer:k=5b/4 - 3/4
Step-by-step explanation:
Answer:
[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]
Step-by-step explanation:
-3k + 7k = 5b - 3
4k = 5b - 3
[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]
The diagram shows a triangle.
45°
38°
What is the value of s?
Answer:
97 degrees
Step-by-step explanation:
If 45 + 38 = 83
A triangle is 180 always
so 180-83=97
Help!!Find the y-intercept of the line on the graph.
Enter the correct answer.
The y-intercept of the graph is -3
How to find the y-intercept of a graph?The y-intercept is the point where the line intersects the y-axis. This is the value of y when x is equals to zero.
Using slope intercept formula,
y = mx + b
where
m = slopeb = y-interceptNow, let's trace the value of y when x = 0 in the graph.
Therefore,
when x = 0, y = -3
Hence, the y-intercept of the graph is -3
learn more on y-intercept here: https://brainly.com/question/20759265
#SPJ1
3/4
(x−12)=12
will mark brainlyest
Answer:
x = 24, if thats wat ur asking.
Answer:
x = 28
Step-by-step explanation:
its division come on
5. The side of a square is (3x - y). What is the perimeter of the square?
a. 12x - 4y
b. 12x -Y
c. 6x-2y
d. 12x + 4y
I need help plzzz
Answer:
A) 12x-4y
Step-by-step explanation:
Since a square has a perimeter of P=4s, then P=4(3x-y)=12x-4y, therefore A is the correct option.
can you help me with sas and sss congruent criteria please?
What is the answer to this
2(x-5)-6=-18
x=___
Answer:
x= -1
Step-by-step explanation:
Distribute:2(x -5) -6 = -18
2x -10 -6 =-18
Subtract the numbers:2x -10 -6 =-18
2x -16 = -18
Add 16 to both sides of the equation:2x =16 += -18
2x -16 +16 = -18 +16
Simplify:2x = -2
Divide both sides of the equation by the same term:2x/2 = -2/2
Simplify:x=-1
Answer:x = -1
Abby earned $56 in 7 hours at her job today. She wants to know how much she could earn tomorrow if she works 34 hours at the same hourly rate.
How much will Rachel earn in 34 hours? please help me !!!
Answer:
It will be $85, 34÷ 4
will give you 8.5 then you multiply it by 10,× 10=85
Answer:
272
Step-by-step explanation:
56:7=8 (she earns 8$ in 1 hour)
8×34=272
Marking brainles!!!!
Answer:
C. 4 ft x 6 ft
Step-by-step explanation:
May I have brainliest please? :)
If 0.5cm = 6 inches you can just double the number you have then multiply that by 6
4cm = 48cm which is 1.5748 feet
6cm =
Answer:
D
Step-by-step explanation:
0.5cm - 6ft
1cm=12ft
2cm= 24
3cm= 36
4cm = 48
5cm= 60
6cm = 72
48 divided by 6 is 8
72 divided by 6 is 12
You have a cake that is 10 inches in diameter. You expect 12 people to share it, so you cut it into 12 equal slices. Before you get a chance to serve the cake, 12 more people arrive! So, you decide to cut a concentric circle in the cake so that you will have 24 pieces. How far from the center of the cake should the circle cut be made so that all 24 people get the same amount of cake?
Answer:
3.5355 inches
Step-by-step explanation:
Area should be same the concentric circle and rest piece .
let's consider the radius of concentric circle as r
so it's area is π r²
area of whole circle is π (5)" ( because diameter is 10 inches)
so the area of rest piece is π (5)² - π r²
π (5)² - π r² = π r²
5² = 2r²
r² = 25/2
r = √(25/2)
r = 3.5355 inches
What is the slope of 3x-2y=7?
Answer:
The slope is -3/2
Step-by-step explanation:
Hope this helped have a good day!
The function g(x)=2x^2+16x+31 is at a minimum when x=-4. True or False?
Answer:
The answer is true.
Step-by-step explanation:
Help please it’s needed!
PLEASE HELP ME
What is the simplified form of
the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3