Answer:
[tex]\boxed {x \geq 7}[/tex]
Step-by-step explanation:
Solve the given inequality:
[tex]3x + 12 - 6x \leq -9[/tex]
-Combine both [tex]3x[/tex] and [tex]-6x[/tex]:
[tex]3x + 12 - 6x \leq -9[/tex]
[tex]-3x + 12 \leq -9[/tex]
-Subtract both sides by [tex]12[/tex]:
[tex]-3x + 12 - 12 \leq -9 - 12[/tex]
[tex]-3x \leq -21[/tex]
-When you are dividing an integer by a negative integer, the inequality sign would change. So, divide both sides by [tex]-3[/tex]:
[tex]\frac{-3x}{-3} \leq \frac{-21}{-3}[/tex]
[tex]\boxed {x \geq 7}[/tex] (Final Answer)
Inequalities help us to compare two unequal expressions. The given inequality will be satisfied when the value of x is equal to or more than 7.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The solution for the given inequality can be calculated as shown below,
3x + 12 - 6x ≤ -9
Subtract 12 from both sides of the inequality,
3x - 6x + 12 - 12≤ -9 - 12
Simplifying both sides of the inequality,
-3x ≤ -21
Divide both the sides of the inequality by -3, since division is been done with a negative integer the sign of the inequality will change,
-3x /-3 ≥ -21/-3
x ≥ 7
Hence, the given inequality will be satisfied when the value of x is equal to or more than 7.
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Study the equations:
f(x) = 6x + 7
g(x) = 4x – 2
What is h(x) = f(x)g(x)?
h(x) = 24x2 – 14
h(x) = 24x2 + 40x + 14
h(x) = 24x2 + 16x – 14
h(x) = 24x2 + 12x – 14
Answer:
h(x)=24X^2+40x+14
I really need help with a lot of questions
Answer:16
Step-by-step explanation:
The first five terms of an arithmetic sequence are 8, 13/2, 5, 7/2, and 2. Which function, f(x), could be used to describe the xth term of the sequence?
Answer:
f(x) = 8 - 1.5x
Step-by-step explanation:
Here, we want to write a function that can be used to describe the x th term of the sequence
Mathematically, this can be calculated by looking at the numbers in the sequence
The difference between each successive term
is -1.5 ( 6.5-8, 3.5 -5)
So the formula for then x th term will be;
f(x) = 8 - 1.5x
where x refers to the number of the term , for example the 4th term
Answer:
-1.5x+9.5
Step-by-step explanation:
-1.5(1)+9.5=8
-1.5(2)+9.5=6.5
-1.5(3)+9.5=5
and so on....
what is the equation of the graphed line?
Answer:
y=mx+b
Step-by-step explanation:
you need to find the y intercept and the slope in order to write the equation in y intercept form slope is the change of u over the change in x
k(x) =-4x + 4: Find k(-3x)
Answer:
12x+4 this is how the equation would look like: (-4*3x)+4
Step-by-step explanation:
Have a great day plz mark as brainliest :'D
Which expression shows that this problem is correct? PLEASE HELP ME
A.
B.
C.
D.
Answer:
Honey there's nothing there
Step-by-step explanation:
Answer:
its a.b.c.d there is no answer please put a answer
Step-by-step explanation:
A sixth-grade class is painting a mural. To make a darker shade of orange, they use a ratio of 5 ounces of red paint to 3
ounces of yellow paint. Use this ratio to consider the amount of yellow paint needed for each amount of red paint listed in the table.
Point Red Paint, x
(ounces) Yellow Paint, y
(ounces)
A
5
B
15
C
20
Determine ordered pairs for points A
, B, and C
, and graph the relationship of the amount of red paint to the amount of yellow paint on the coordinate plane.
Click on the grid to plot the three points.
Answer:
I think its B
Step-by-step explanation:
Find the value of x.
x= 2.
x= 3
x= 33
x= 52
Answer: x=2
57+x=25x
subtract x from both sides
57+x-x=25x-x
57=24x
divide by 24 on both sides
57÷24=24x÷24
x=2.375
I hope this is good enough:
The sum of the interior angle of a triangle is equal to the exterior. . The value of x from the given figure is 3
Angles in a triangleThe sum of the interior angle of a triangle is equal to the exterior. According to the given figure;
25x + 57 +x = 45x
26x + 57 = 45x
Subtract 57 from both sides
26x -45x = -57
-19x = 57
x = 57/19
x = 3
Hence the value of x from the given figure is 3
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A manufacturer can produce 1554 parts in 7 hours. What is the unit rate in parts per hour?
Answer: 222 parts per hour
Step-by-step explanation: To find how many parts a manufacturer Can produce in 1 hour if it can produce 1,554 parts in 7 hours, then look for the unit rate. (1,554/7) To do this, simply divide 1,554 by 7, which gives you a final answer or result of 222. Hence, a manufacturer can produce 222 parts in 1 hour.
Unit Rate: 222/1Answer:
222 parts
Step-by-step explanation:
1554 divided by 7 is 22.
Thank you Everyone for seeing this :D
Last question!!
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
Answer:
Answer: SAS
Step-by-step explanation:
We must prove that triangles ABC and EDC are congruent.
Since BD bisects AE, then AC is congruent with CE.
Since AE bisects BD, then BC is congruent with CD
Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.
Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.
Answer: SAS
Jared just completed a race and is standing 15 feet across the finish line. Michael is still running the race and he has 30 feet to go
Student A says that Jared and Michael are 45 feet away from each other student B says they are 15 feet away from each other
Who is correct
Explain your reasoning and write a numerical expression to justify your answer
Answer:
Student A is correct.
Step-by-step explanation:
A is correct as Michael is 30ft behind the finish line and Jared is 15 feet past it. [tex]30 + 15 = 45[/tex]
Answer:
student a
Step-by-step explanation:
jared is 15 feet after the line Michael is 30 feet before the line 15 + 30
The graph shows the savings in Andre’s bank account.
Answer:
As the number of week increases, the Andre's savings also increases
Step-by-step explanation:
Given
The attached graph
Required
Explain what the slope represents (Missing part of the question:)
First, we'll check the slope of the graph.
Represent time in weeks with x and savings in dollar with y
So, we have the following details:
[tex](x_1,y_1) = (0,40)[/tex]
[tex](x_2,y_2) = (8,80)[/tex]
Slope (m) is then calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{80 - 40}{8 - 0}[/tex]
[tex]m = \frac{40}{8}[/tex]
[tex]m = 5[/tex]
The calculated slope is positive and this implies that: As the number of week increases, the Andre's savings also increases
what does x equal -x +5 = -4
Answer:
-9
Step-by-step explanation:
+number + +number = positive
-number + +number = negative
When you add a positive number to a negative number, the negative number will try to go down to 0 more
pls help what's 9 divided by 7432
7432/9 = 825,7777777777778 = 825,8
Answer:
825.7 (the 7 is repeating)
Step-by-step explanation:
1. Divide
2. Multiply
3. Subtract
4. Bring down
Use these four steps to divide!
27. Use Structure Use the table at the right. Yolanda is planning a party that will take place in three rooms. a. Write an expression that can be used to represent the total amount Yolanda will need to rent all three rooms and the sound system for t hours. b. How can you use a property to write a simplified equivalent expression?
Answer:
25t+95 or 5(5t + 19)
Step-by-step explanation:
The total of the sound fee = $25
The total of the rental fee = $95
Write is as an equation and you can get 25t + 95 or 5(5t + 19)
ASAP, pls help me :( i don’t get these questions !!!!
Answer:
me either...
Step-by-step explanation:
Helpp pls it’s 25 points
Answer:
A and 3 I believe
PLS HELP ME :( i don’t understand this and i can’t afford to get anything wrong right now!!
Answer: Point A represents Q1, Point B represents the Median, Point C represents Q3
Step-by-step explanation:
in scientific notation , 8,599,000,000=8.599.*10^z what is the value of z
Answer:
6
Step-by-step explanation:
The value of z is the number of zeros in the number, which is 6. Hope this helped!
While exploring a volcano, Zane heard some rumbling, so he decided to climb up out of there as quickly as he
could.
Zane's elevation relative to the edge of the inside of the volcano (in meters) as a function of time (in seconds) is
graphed.
how high did zane climb every 7 seconds
A 7/5 meters
B 5 meters
C 5/7 meters
D 7 meters
Answer:
Step-by-step explanation:
Zanes can climb 5/7 meters for every 7 seconds.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
This is clearly shown in the graph of Zane's elevation relative to the rim of the volcano in meters as a function of time in seconds.
The graph showed that Zane was climbing the volcano at a constant rate, creating a linear graph of his movement.
From the graphical representation, it could be seen from the graph that the x-intercept is (0,5) and the y-intercept is (7,0)
Slope of line is m=5/7
Hence, Zanes can climb 5/7 meters for every 7 seconds.
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1. Which diagram below shows the first step in parallel line construction on a point outside a
line?
Answer:
B
Step-by-step explanation:
Answer: make a line the same way as the other one and it’s b
Step-by-step explanation: 2nd grade ez
HELP ASAP NO ROCKY PLEASE
m<1 is 50
m<2 is 130
m<3 is 50
m<4 is 130
m<5 is 40
m<6 is 140
m<7 is 90
m<8 is 140
WELCOME TO AUSTIN TEXAS ASAP LMFMSMSNS BYE
What is 35,894 to the nearest hundred
Answer: 35,900
Step-by-step explanation:
4. When solving an equation, Henry gets to
the last line of his work and is left with "2 = 3".
What does this mean?
A. The solution is 3.
B. There is only one solution.
C. There is no solution.
D. There are infinite solutions.
1pt
Brittney found a swimsuit that she wanted to buy with a price tag marked $80. The sign above it indicated that this price was 20% off. What was the original price of the swimsuit?
Answer:
$60
Step-by-step explanation:
because 20 percent of 80 is 20 so 80-20 = 60.
Answer:
$60
Step-by-step explanation:
because 20 percent of 80 is 20 so 80-20 = 60.
What is the value of x?
(13x + 3)º
(4x + 7)
Answer:
54
Step-by-step explanation:
Two lengths of a triangle are 14 and 17. What is the largest
possible whole number perimeter?
If two lengths of a triangle are 14 and 17. Then the largest possible whole number perimeter is 62.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two lengths of a triangle are 14 and 17.
Side one is fourteen and side two is seventeen.
First we need to find the largest third side
The third side should always be less than the sum of other two sides lengths.
14+17
31
The third side must be less than 31, the largest possible third side is 30
Now let us find the perimeter of triangle.
Perimeter=14+17+31
=62
Hence the largest possible whole number perimeter is 62.
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Please Quick Will give Brainliest
What is the equation of the line that passes through (-3, -1) and has a slope of ? Put your answer in slope-intercept form.
y = x +
y = x -
y = -x -
Answer:
y=3/5x -4/5
Step-by-step explanation:
3/5 is the slope so you do 3/5x
-4/5 is negative because the line passes two negative coordinates
Hope this helps!
Find the slope of the line y = -2x +
2
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is -2
Step-by-step explanation:
In any equation that is in the form of this question, the slope is always the number next to x. An example could be y = 6x - 1, the slope would be 6. If we had y = -100x - 5, the slope would be -100.
I earned $92 for cutting yards. I gave my brother 20% of my money for helping me. How much money did I give my brother?
