Answer:
A y>1
x>-2
Step-by-step explanation:
Option A is correct, y>1 and x>-2 is the system of inequalities that best matches the given graph.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
In the given graph there are two lines.
The first line l₁ passes through the x axis at -2.
Which means the equation of line l₁ is x=-2
Now let us find the equation of the second line.
The line l₂ passes through 1
Which means equation of line l₂ is y=1.
Now let us find the inequality as there is a shaded region in the given graph.
The solutions to a linear inequality can be shown as a shaded region that represents the ordered pairs which make the inequality true.
y>1 and x>-2 is the required inequality of the graph as these are shaded away from the origin.
Hence, Option A is correct, y>1 and x>-2 is the system of inequalities that best matches the given graph.
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Solve the inequality for x. - 1 - 6x - 6 > - 11 - 7x
Answer:
The answer is
[tex]x > - 4[/tex]Step-by-step explanation:
[tex]- 1 - 6x - 6 > - 11 - 7x[/tex]
Simplify the inequality
That's
[tex] - 6x - 7 > - 11 - 7x[/tex]
Add 7 to both sides of the inequality
[tex] - 6x + 7 - 7 > - 11 + 7 - 7x \\ - 6x > - 4 - 7x[/tex]
Add 7x to both sides of the inequality
[tex] - 6x + 7x > - 4 + 7x - 7x \\ x > - 4[/tex]
We have the final answer as
[tex]x > - 4 [/tex]
Hope this helps you
The solution to the inequality [tex]- 1 - 6x - 6 > - 11 - 7x[/tex] is [tex]x > -4.[/tex]
To solve the inequality [tex]- 1 - 6x - 6 > - 11 - 7x[/tex], we can start by simplifying both sides of the inequality:
[tex]-1 - 6x - 6 > -11 - 7x[/tex]
Combine like terms:
[tex]-7 - 6x > -11 - 7x[/tex]
Add 7x to both sides:
[tex]-7 - 6x + 7x > -11 - 7x + 7x[/tex]
[tex]-7 + x > -11[/tex]
To isolate "x," we can subtract -7 from both sides:
[tex]-7 + x - (-7) > -11 - (-7)[/tex]
Simplifying further:
[tex]x > -11 + 7[/tex]
[tex]x > -4[/tex]
Therefore, the solution to the inequality is [tex]x > -4.[/tex]
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The question is : Find EC
Answer:
The answer would be 35.
C) None of the other answers are correct
Step-by-step explanation:
You can find EC by subtracting 49 (EB) from 30 (DB) and adding 16(DC).
Can someone help me calculate the scale factor of ∆DEF to ∆ABC?
100 gallons of water at $1.19 per gallon
Answer:
119
Step-by-step explanation:
just times the numbers
Answer:
100 gallons of water would cost $119
Step-by-step explanation:
Multiply 100 by 1.19 and you get 119.
The cost of 100 gallons of water would be $119.
5x+10y=30
solve for y
Answer:
y= 3 -0.5x
Step-by-step explanation:
5x + 10y = 30
subtract 5x from each side to get 10y by itself
10y= 30-5x
divide each side by 10
y= 3 - 0.5x
A triangle has three sides(4x),(2x-6),and(10-x). Using the variable x, write an expression to define the perimeter
Answer:
5x+4
Step-by-step explanation:
well the perimeter is the sum of all sides
so we have
[tex]P=4x+2x-6+10-x\\\\P=(4x+2x-x)+(-6+10)\\\\P=5x+4[/tex]
Answer:
P = 5x+4
Step-by-step explanation:
To find the perimeter, sum the sides
A triangle has 3 sides
P = 4x+ 2x-6 + 10-x
Combine like terms
P = 4x+2x-x -6+10
P = 5x +5
What is I=prt formula used for?
Answer:
Simple interest
Step-by-step explanation:
Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
I= interest
p= principle (how much money there was originally)
r= rate of interest
t= time
Solve for u.
|5u + 15| = 10
Answer:
-1 and -5
Step-by-step explanation:
You must account for negative u values (which the abs nullifies).
So [tex]5u+15=10[/tex] and [tex]5u+15=-10[/tex] is what we have to solve for.
As for usual equations, isolate the u variable.
5u + 15 = 10
5u + 15 (-15) = 10 (-15)
5u = -5
[tex]\frac{5u}{5}=\frac{-5}{1}[/tex]
u = -1
Now you can do the same operation for the other equation and you should get u = -5.
Let's make sure we did it right by replacing u with one of our solutions (-1 or -5).
[tex]|5(-1)+15| = 10\\10 = 10[/tex]
That's true. What about the other one?
[tex]|5(-5)+15|=10\\10=10[/tex]
Explain how to solve 2/3 divided by 1/2 with a tape diagram
Solve |x|>-9
Answer choice:
1.) no solution
2.)all reals
3.) {x/x<-9 or x>9}
Answer:
All Real Numbers
Step-by-step explanation:
........
Question 2 of 5
Which inequality is true?
A. 9/3 pi > 1
B. 9 pi > 27
C. Pi +7<10
D. Pi - 3> 1
The difference between a number and 6 is12
Lamont has purchased 20 trading cards and wants to have at least 50 trading cards. Write and solve an inequality to nd the number of trading cards Lamont needs. Select all of the true statements.
Given:
Lamont has purchased 20 trading cards.
He wants to have at least 50 trading cards.
To find:
The inequality for the number of trading cards Lamont needs and solve it.
Solution:
Let x be the number of trading cards Lamont needs.
He has 20 trading cards. So,
Total cards = x + 20
It is given that, he wants to have at least 50 trading cards. It means, total card must be greater than or equal to 50.
[tex]x+20\geq 50[/tex]
Subtract 20 from both sides.
[tex]x+20-20\geq 50-20[/tex]
[tex]x\geq 30[/tex]
Therefore, the required inequality is [tex]x+20\geq 50[/tex] and solution is [tex]x\geq 30[/tex].
The number of trading cards that Lamont needs will be at least 30 trading cards.
From the information given, we are informed that Lamont has purchased 20 trading cards and wants to have at least 50 trading cards.
Therefore, the number that will be needed more will be:
= 50 - 20 = 30
Therefore, he'll need at least 30 more cards.
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I just need to know the answer to B.
Answer:
24%
Step-by-step explanation:
45 + 37 + 52 + 94 + 72 = 300
72/300 = 0.24 x 100
= 24%
During the winter, the amount of water that flows down a river remains at a low constant. In the spring, when the snow melts, the amount of water increases drastically, until it decreases to a steady rate in the summer. The flow then slowly decreases through the fall into the winter. Consider the graphs shown. Which graph best represents the given situation?
Answer:
Graph B
Step-by-step explanation:
I did the quiz and got it right
I buy 6 CD,s casting £ 6.99 each how much change do I get from £ 50
plz answer
Answer:
£8.06
6.99x6=41.94
50-41.94=8.06
After selling a dozen copies of the daily
newspaper, a newsstand had fewer than
75 copies left. How many copies did the
newsstand have at the beginning of the day?
-inequalities
I need the area of this shape please explain.
Answer:
130 square inches
Step-by-step explanation:
Area of the shape = Area of trapezoid - area of rectangle
[tex] = \frac{1}{2} \{23 + (4 + 3 + 4) \} \times 8 - 3 \times 2 \\ \\ = \{23 + 11 \} \times 4 - 6\\ \\ = 34 \times 4 - 6 \\ \\ = 136 - 6 \\ \\ = 130 \: {inches}^{2} [/tex]
Solve for Q
8q+12=4(3+2q)
Answer:
q = infinite amount of solutions
Step-by-step explanation:
Step 1: Write equation
8q + 12 = 4(3 + 2q)
Step 2: Solve for q
Distribute 4: 8q + 12 = 12 + 8qSubtract 8q on both sides: 12 = 12--------------------------------------------------------------
Distribute 4: 8q + 12 = 12 + 8qSubtract 12 on both sides 8q = 8qDivide both sides by 8: q = qWe see here that you can plug in any number q and it would render the equation true. You can also look at it as 2 linear lines that are same, and the same line has infinite amount of solutions.
Step 3: Check
Plug in q to verify it's a solution.
8(0) + 12 = 4(3 + 2(0))
0 + 12 = 4(3 + 0)
12 = 4(3)
12 = 12
8(1) + 12 = 4(3 + 2(1))
8 + 12 = 4(3 + 2)
20 = 4(5)
20 = 20
We also see in the check step that any value q works.
The solution to the equation 8q + 12 = 4(3 + 2q) is Q can be any real number.
We have,
To solve for Q in the equation 8q + 12 = 4(3 + 2q), we can follow these steps:
Step 1: Distribute the 4 to the terms inside the parentheses:
8q + 12 = 4 * 3 + 4 * 2q
Simplifying further:
8q + 12 = 12 + 8q
Step 2: Combine like terms on both sides of the equation:
8q + 12 = 12 + 8q
Step 3: Subtract 8q from both sides of the equation to isolate the q term:
8q - 8q + 12 = 12 + 8q - 8q
Simplifying further:
12 = 12
Step 4: Since both sides of the equation are equal, the equation is true for all values of q.
This means the solution is all real numbers.
Therefore,
The solution to the equation 8q + 12 = 4(3 + 2q) is Q can be any real number.
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$12 for 15 milliliters $8 for 10 milliliters
Answer:
whats the question?
Step-by-step explanation:
a paint store makes three batches of a color called Sunset Orange using the recipe shown.
1/2 of the paint is red
1/3 of the paint is yellow
1/6 of the paint is white
Each batch contains a different total amount of paint.
Drag numbers to show how much of each color should be used in each batch of Sunset Orange
Answer:
Suppose that the batch has N liters of paint.
we know that the recipe is:
1/2 of red paint
1/3 of yellow paint
1/6 of white paint.
Then, out of the N liters, 1/2 is red.
This means that we must use:
N/2 liters of red paint.
And the same for the other two colors:
N/3 liters of yellow paint
N/6 liters of white paint.
When we add those 3, we have:
(N/2 + N/3 + N/6) = (3*N/6 + 2*N/6 + N/6) = N.
Now, if for example N = 2
Then the batch has 2 liters of paint, this would mean that we must use:
2/2 liters of red paint
2/3 liters of yellow paint
2/6 liters of white paint.
The quadratic equation is y=ax2 + bx + c.
What would be a formula for b?
Answer:
b=y/x−ax−c/x
Step-by-step explanation:
whats the square rot of 666
Answer:
Around 25.8069758
Solve the system of equations using substitution.
3x + y = 12
y = 3x
Answer:
y=3x⇒equation 1
substitute equation 1 in 3x+y=12
3x+3x=12
6x=12
x=12/6
x=2
hope it helps u!
SOMEONE PLS HELP I NEED TO DO THISSSS
Sebastian is driving to a concert and needs to pay for parking. There is an automatic fee of $10 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Sebastian have to pay for parking if he left his car in the lot for 2 hours? How much would Sebastian have to pay if he left his car in the lot for tt hours?
Cost for 2 hours:
Cost for t hours:
Answer:
1. 16$
2. 10+3(t)=$
Step-by-step explanation:
1. 10+3+3=16
can someone please help me I've been stuck on this for so long
Answer:
x = -3, y=2
Step-by-step explanation:
x+3y =3
3y -2x =12
Solve the first equation for x
x = 3-3y
Substitute this into the second equation
3y -2(3-3y) =12
Distribute
3y -6 +6y =12
Combine like terms
9y -6 =12
Add 6 to each side
9y-6+6 =12+6
9y =18
Divide each side by 9
9y/9 =18/9
y = 2
Now find x
x = 3 -3y
x = 3-3(2)
x = 3-6
x = -3
Answer:
x = -3 y = 2
Step-by-step explanation:
x + 3y = 3
2x - 3y = -12
3x = -9
x = -3
Evaluate the expression: |5-6|
Answer:
1
Step-by-step explanation:
|5 - 6|
|-1| (absolute value changes a negative number to positive)
1
Best of Luck!
Answer:
|5-6| = 1
Step-by-step explanation:
Answer inside the absolute value and you get -1. The aboslute value of -1 is 1.
4)
Deborah records the number of minutes late, t, for trains arriving at a station.
The histogram shows this information.
30
207
Frequency
density
107
20
10
15
Number of minutes late
(n) Find the number of trains that Deborah recorded
2
Answer:
a is 25 b is 15 percent
Step-by-step explanation:
ANSWER RIGHT NOW PLEASE