The solution of the given inequality is x < –5 or x > 2
What are Inequality equations:Equations are not always balanced on both sides using an "equal to" symbol in mathematics. Sometimes it can be about a "not equal to" relationship, meaning that something is greater than or lower than another.
In mathematics, an inequality is a relationship between two numbers or other mathematical expressions that results in an unequal comparison. Inequalities are the name given to certain algebraic mathematical expressions.
Here we have
|2x + 3| < 7
=> 2x + 3 > 7 or 2x + 3 < - 7
Take 2x + 3 > 7
Add - 3 on both sides
=> 2x + 3 - 3 > 7 - 3
=> 2x > 4
Divide by 2 into both sides
=> 2x/2 > 4/2
=> x > 2
Take 2x + 3 < - 7
Add - 3 on both sides
=> 2x + 3 - 3 < - 7 - 3
=> 2x < -10
Divide by 2 into both sides
=> 2x/2 < -10/2
=> x < -5
Therefore,
The solution of the given inequality is x < –5 or x > 2
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Which set of ordered pairs does not represent a function?
O {(0,6), (5,-4), (3, -4), (8,-6)}
O {(6,-1), (-6, -1),(-2,-8),(-4,9)}
O {(-3, -3), (4,1),(-3,3), (2, 2)}
O {(1,-4), (5, -7), (-3,-6), (-2,-4)}
Simplify negative 4 and 1 over 4 − negative 9 and 1 over 2. Help ;---;
Answer:
-53/4
Step-by-step explanation:
=-4+1/4-9+1/2
=-16+1-36+2/4
=-53/4
Find the perimeter of the semicircle below. Use 3.14 for
pi.
1.6 ft
Answer:
8.2ft
Step-by-step explanation:
Perimeter of a whole circle = 2*pi*r with radius r
Here we have 1.6ft as the radius so the whole circle's perimeter would be
2 * 3.14 * 1.6 = 10.048
We have half the circle so we half this number to 5.024.
Now we have to add the bottom straight line, which is two radii (two lots of 1.6)
5.024 + 1.6 + 1.6 = 8.224 which is rounded to 8.2ft
Which fraction is equivalent to 1/6?
Answer:
There could be many answers: 2/12, 3/18, 4/24...
Step-by-step explanation:
You never really gave options but all you do is just take 1/6 and multiply the top and bottom by a certain number to get what you're looking for, for example 1/6 times 2, both on the top and bottom will get you 2/12 because 1 times 2 is 2 and, 6 time 2 is 12. :)
Answer:
2/12 6/36 there's alot more
A medium pizza at Pizzaz Pizza
costs $12 plus 1.00 per topping,
A medium pizza at Crustie's
Pizza costs $10 plus $1.50 per
topping. How many toppings
does it take so that a medium
pizza costs the same at each
pizzeria? Define your variables,
write a system of equations, and
solve
Answer:
21
Step-by-step explanation:
Answer:
it would take four toppings so that a medium pizza would cost the same at a pizzeria
Reece tells Clay that when the area defined by Triangle DEF dries out, it becomes covered with native grasses and plants. What is the area of this section? Round intermediate results to 3 decimal places and the final answer to 1 decimal place.
Answer:
im trying to figure out give me like 3 minutes
Step-by-step explanation:
Pls help middle school math!!
Answer:
r = √A/π (radius = square root of a over pi)
Explanation:
There is a radius and a diameter. Diameter is the length of the whole circle across. The radius is half of the circle's length across, so half of the diameter.
hope this answers your question!
For each pair of mathematical expressions, determine if the expressions have equal values. Select each pair of expressions that came out to be equal.
Please note, not all pairs will come out to the same value. We want you to determine if the expressions in each answer option have the same value. A. 36 divided by 3+3 and 2^2 + 2. B. -(2/3)^2 and 4/9. C. 8(-9) and - 12 - 60. D. 1+2/4 and 1 - 1/4.
Answer:
A) equal
B) equal
C) equal
D) not equal
Step-by-step explanation:
The pairs of options (A), (B), and (C) of expressions came out to be equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations.
We want to determine if the expressions in each answer option have the same value
A. 36 divided by 3+3 and 2^2 + 2.
⇒ 36/(3+3) =36/6 =6
⇒ 2² + 2 = 4 + 2= 6.
Here, pair of expressions that came out to be equal
B. -(2/3)^2 and 4/9.
⇒ -(2/3)² = 4/9
Here, pair of expressions that came out to be equal
C. 8(-9) and - 12 - 60.
⇒ 8(-9) = -72
⇒ - 12 - 60 = -72
Here, pair of expressions that came out to be equal
D. 1+2/4 and 1 - 1/4.
⇒ 1+2/4 = 6/4
⇒ 1 - 1/4 = 3/4
Here, the pair of expressions came out to be not equal.
Thus, the pairs of options (A), (B), and (C) of expressions came out to be equal.
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Simplify the expression 3.3 - 5.5n - 4n + 6 =
Answer:
Hello! have a good day!
−9.5n + 9.3
Answer:
Our answer would be 9.3-9.5n!
Step-by-step explanation:
My explanation is that:
Add : 3.3 and 6
-5.5n-4n+9.3
then subtract 4n from -5.5n
-9.5n+9.3 would be our answer!
How many kilograms of chocolate will each person get if 4 people share 13 of a kilogram of chocolate equally?
Step-by-step explanation:
hope it helps
plz rate my answer
What is the surface area of a sphere with radius 4?
A. 16 units2
B. 12x units 3
C. 3290 units2
D. 644 units2
Answer:
a
Step-by-step explanation:
you need to divide the entire amount of
At 6:00 A.M., the temperature was 10º below zero. During the day, the temperature rose an average of 2º per hour. If h represents the number of hours since 6:00 A.M., which equation represents the temperature T?
Answer:
10+2h=T
hope this helps :)
Who is the final "A" in pretty little liars and whats the plot twist bc this show last forever
___________________________________________________________
Answer: Alex Drake and the plot twist is when "A.D." reveals themselves to be Alex Drake, the twin sister of Spencer.
___________________________________________________________
-1/2x-8=hx-8 what does h equal?
Answer:
H = -1/2
Step-by-step explanation:
Can someone reply with how this works
-0.1=-10c. Solve each equation
Answer:
c = 0.01
Step-by-step explanation:
divide both sides by -10 to isolate c
-0.1 = -10c
/-10. /-10
0.01 = c
c = 0.01
how do I find the percent of budget?
Answer:
First, subtract the budgeted amount from the actual expense. If this expense was over budget, then the result will be positive.
Next, divide that number by the original budgeted amount and then multiply the result by 100 to get the percentage over budget. If your expenses were lower than your budgeted amount, then this number will be negative, describing the percentage under budget.
Rashaad went to the store to buy some apples. The price per pound of the apples is $4.75 per pound and he has a coupon for $2.50 off the final amount. With the coupon, how much would Rashaad have to pay to buy 5 pounds of apples? Also, write an expression for the cost to buy
p
p pounds of apples, assuming at least one pound is purchased.
Answer:
21.75
Step-by-step explanation:
sorry if im wrong
que es la regla de los signos
Answer:
La regla de los signos son los positivos y los negativos.Pero otra cosa son cuales son las raglas de los signos.
The area of the figure is how many square units?
Answer:
hope it helped
have a nice day mate
Please help.............:)
Answer:
easy lol
Step-by-step explanation:
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please i just wanted to make friends cuz I'm alone BTW I'm 15yo
Answer:
What is y,t and z?
Step-by-step explanation:
What is perimeter and area of this object?
Answer:
Step-by-step explanation:
You have a circle with radius r = 3 ft and a 3-by-12 rectangle.
Area of circle = πr² = 9π ft²
Area of rectangle = 3 × 12 = 36 ft²
Total area = 36 + 9π ≈ 64.3 ft²
Perimeter of circle = 2πr = 6π ft
Perimeter of rectangular projections = 18 ft
Total perimeter = 6π +18 ≈ 36.8 ft
If (2,-6) is rotated 90 degrees clockwise what would be the coordinates
Answer:
Step-by-step explanation:
Rotating (2,-6) 90 degrees results in (6,2)
A house is located at the center of a circular lot, exactly 10 yards from the edge of the lot. How much fencing will the homeowner need to surround the entire lot?
3x-2y= 10
Write the slope intercept for of the equation
Answer: y = -3/2x + 5
Step-by-step explanation:
Answer:
y= 3/2x - 5
Step-by-step explanation:
Slope intercept form is y=mx + b
1. subtract 3x from both sides -2y= -3x + 10
2. divide -2 on each value y= 3/2x - 5
3. simplify if needed (already in simplest form)
HELLP!! U WILL GET I,000 POINTS Alistair writes the system of equations below. 2x+3y=−60 2x+3y=120 ------------------------------------------------------------------------------------------------------------------------ Which statement describes the solution to this system of equations? There is exactly (2,3) There is exactly one solution (-60,120) There is no solution to the systems of equations There are infinite numbers of the solution to the system
Answer:
Step-by-step explanation:
Does it say what x and y equals
Answer: there is no solution to the system of equation
Step-by-step explanation:
C
Which equation is not linear?
y = –3x + 4
y = 6x
y = 3
y = x5 – 1
Answer:
y=3 maybe
Step-by-step explanation:
Hey if someone could please help me with this i waould be very greatful
Answer:
40%
Step-by-step explanation:
2/5x100%=40%
The time T takes to buy a fuel at a petrol station varies directly as the number of vehicles V on a quare and inversely as the number of pumps P available in the station. In a station with pumps, it took 10minutes to uel 20 vehicles. Find 1. The relationsip between T, P and V. 2. The time it will take to fuel 50 vehicles in the station with 2 pumps. 3. The number of pumps required to fuel 40 vehicles in 20 minutes.
Answer:
The time T takes to buy a fuel at a petrol station varies directly as the number of vehicles V on a quare and inversely as the number of pumps P available in the station. In a station with pumps, it took 10minutes to uel 20 vehicles. Find 1. The relationsip between T, P and V. 2. The time it will take to fuel 50 vehicles in the station with 2 pumps. 3. The number of pumps required to fuel 40 vehicles in 20 minutes.
What is BC in simplest radical form
Answer:
Step-by-step explanation:
Draw altitudes from A and D to get two 30°-60°-90° triangles.
The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.
BC = 3√3 + 16 + 9√3 = 16 + 12√3