Answer:
Inequalities work exactly like equations with one exception. The process begins just like equations: first, do the opposite of what you see, then do the same thing on the other side of the sign. At the last step of solving an inequality, if you multiply or divide by a negative number, then you reverse the sign
The two examples show the process of solving inequality with variables on both sides are
3 + x > 3x - 6
3 - 4x < 2x + 8
The process is shown below.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
Let us consider an inequality:
3 + x > 3x - 6 ____(1)
3 - 4x < 2x + 8 _____(2)
We will solve for x.
From (1),
3 + x > 3x - 6
Subtract 3 on both sides.
3 + x - 3 > 3x - 6 - 3
x > 3x - 9
Add 9 on both sides.
x + 9 > 3x - 9 + 9
x + 9 > 3x
Subtract x on both sides.
x + 9 - x > 3x - x
9 > 2x
Divide 2 on both sides.
9/2 > x
x < 9/2
This means that x must be less than 9/2.
From (2),
3 - 4x < 2x + 8
Subtract 3 on both sides.
3 - 4x - 3 < 2x + 8 - 3
- 4x < 2x + 5
Subtract -2x on both sides.
-4x - 2x < 2x + 5 - 2x
-6x < 5
Divide both sides by 6.
-x < 5/6
Since we can not keep a negative sign with x we will multiply a negative on both sides and flip the inequality.
- (-x) > -5/6
x > -5/6
Thus,
The two examples show the process of solving inequality with variables on both sides are:
3 + x > 3x - 6
= x < 9/2
3 - 4x < 2x + 8
= x > -5/6
Learn more about inequalities here:
https://brainly.com/question/20383699
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Slope-intercept form
find out the y intercept and slope
Answer:
18. Slope (m) = 1/2
Y-intercept (b) = -6
19. Slope (m) = 2
Y-intercep (b) = 8
20. y = 1/2 + 6
Step-by-step explanation:
y = mx + b
y - 2x = 8
y = 2x + 8
Simplify the expression 6(11+4−7h)
Answer:
−42h+90
Explanation:
6(11+4−7h)
=(6)(11+4+−7h)
=(6)(11)+(6)(4)+(6)(−7h)
=66+24−42h
=−42h+90
PLS HELP NEEDED TODAY
Simplify (6^-8)^4 Please help
Answer:
6⁻³² (or 1/6³²)
Step-by-step explanation:
(6⁻⁸) ⁴
= 6 ⁽⁻⁸⁾⁽⁴⁾
= 6⁻³² ( or in fraction form 1/6³²)
Answer:
[tex]\frac{1}{6^{32} }[/tex]Step-by-step explanation:
If I read the question rights its = [tex](6^{-8} )(^{4})[/tex]
Please help!!! Will try my best to give brainliest!!!!
Find the GCF of n 3t ^2 and nt 4.
n ^3t^ 6
n ^3t ^4
nt ^2
n^ 4t^ 6
Answer:
for this question is nt^2 or C
Step-by-step explanation:
help please!!!!!!!!!!!!!!!!!!!!
Answer:
18. slope =1/2 y-int= -6
19. slope=2 y-int= 8
Step-by-step explanation:
pls help me i dont understand it.....................
what does tempature measure
Answer:
Temperature is a measure of the average kinetic energy of the particles in an object.
Step-by-step explanation:
which means its b
Write or draw TWO (2) DIFFERENT fractions that are equivalent to 5/6
help meeee please HELPPPPPPPP
Answer:
they are different because the original paint goes 123456 and the new pait goes 246810.
Step-by-step explanation:
hope this helps!
What is the Law of Exponents?
Answer:
The exponent of a number says how many times to use the number in a multiplication.
Example:
[tex]8^{2}[/tex] = 8 × 8 = 64
Look at the picture.
Answer:
178.5
Step-by-step explanation:
First, you take 8*10 and the subtract 7. Second, because it is a fraction, you divide it by 4*10-4. Basally, its 8*10=80-7/4*10=40-4
please help! i’m having a rough time on this, could someone answer this question?
Answer:
y= -18
a= -18
Step-by-step explanation:
2y+3 = 3(y+7)
2y+3=3y+21
-21 -21
2y-18=3y
-2y -2y
-18=y
Assume that the cheetah travels an average of 40 mph to go from its resting place to a rock near a river. On the return trip to its resting place, the cheetah travels an average of 70 mph. If the cheetah traveled for 15 minutes, how many minutes did the return trip take to the nearest minute and second?
Set up the table as follows. Label the rows “To the River” and “From the River.” Label the columns “Distance,” “Rate,” and “Time (in Hours).” Let t represent the unknown quantity in the problem. Fill in the table.
Answer:
9.55 minutes
Step-by-step explanation:
x hours to go to the river
0.25-x hours to come back, since 15 minutes is 0.25 hr.
to the river 40 mph * x hours =40x miles
from the river 70 mph (0.25-x) hours=17.5-70x
those two are equal
40x=17.5-70x
110x=17.5
x=17.5/110=0.159 hours
9.55 minutes
Find the slope...........
Is the table above proportional or non-proportional?
Answer: I think you should divide them all and if you get the same answer it’s proportional if you don’t get the same answer it’s non-proportional
Step-by-step explanation:
Answer:
It is non-proportional.
Step-by-step explanation:
The table is non-proportional because it expresses a curved line instead of a straight line.
Help, this is so confusing.
Answer:
D. $0.05
Step-by-step explanation:
Don't worry! I'll help you through it.
So we just have to find the unit rate (price) per apple.
$4 divided by 5lbs bag = $0.80 so, The 1st bag is $0.80 an apple.
$6 bag divided by 8lb = $0.75 an apple.
Now, simply subtract
0.80
-0.75
0.05
So your answer is D, $0.05
Have a great day!
~PumpkinSpice1
Please help me i dont understand
At the start of the month, the value of Susan’s checking account was $53. She gets paid $375 per week for 4 weeks and spends $172 on groceries for the month. How much does Susan have in her checking account at the end of the month?
The temperature was -10 Fahrenheit at 8:00 PM one day in Denver. A cold front lowered the temperature over the next hour by 3 degrees. What was the new temperature at 9:00 PM?
Answer:
-13 degrees Fahrenheit
Step-by-step explanation:
3 degrees lower then -10 degrees would be -13.
Answer:
-13 Fahrenheit
Step-by-step explanation:
Which situation represents a proportional relationship?
a
The cost of purchasing a basket of oranges for $1.30 per pound plus $5.00 for the basket.
b
The cost of purchasing grapefruit for $1.80 per pound with a coupon for $1.00 off the total cost.
c
The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound.
d
The cost of purchasing peaches for $7.00 per box of peaches with a delivery charge of $3.00.
please help I hate imagine math its in the photo
A fruit basket contains only apples and bananas. If there are 8 apples and 13 bananas, what is the ratio of bananas to fruit? Select all that apply. 13:8
Answer:
The ratio of bananas to total fruit is 13:21
Step-by-step explanation:
Since we already know the amount of apples and pears, we can find the total. 13+8=21, and since we know the number of pears, 13, we can say that the ratio is 13:21.
Answer: 13:21
When two factors have opposite signs, is the product negative or positive??
Answer:
Negative
Step-by-step explanation:
If two signs differ the answer will always be negative. but if they are the same then the answer would be positive. Hope this helped!
Answer:
Negative
Hope this helped :)
1/2(12w+8) -1/5(10w-5) find the difference
1/2(12w+8) -1/5(10w-5) = 4w + 3 or 4w + 5
( im kinda confused on this myself)
Look at the picture.
Answer:
boi
Step-by-step explanation:
Answer:THE ANSWER IS 3x10^30
Step-by-step explanation:
The perimeter of the original rectangle on the left is 30 meters. The perimeter of the reduced rectangle on the right is 24 meters. What is x, the width of the original rectangle on the left? Round to the nearest hundredth if necessary.
A) 5 meters
B) 8 meters
C) 10 meters
D) 12 meters
Solve the inequality $-4x > -24.$ Give your answer in interval notation.
Answer:
(negative infinity, 6)
Step-by-step explanation:
To get this:
1. -4x > 24
Divide by -4
2. x < 6
When you divide by a negative you have to flip the inequality. Therefore, any number that is less than 6 is the answer.
The solution of the inequality will be;
⇒ x ∈ (- ∞, 6)
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ - $4x > - $24
Now,
Solve the inequality as;
The inequality is,
⇒ - $4x > - $24
Multiply by - 1, we get;
⇒ $4x < $24
Divide by 4, we get;
⇒ x < 6
⇒ x ∈ (- ∞, 6)
Thus, The solution of the inequality will be;
⇒ x ∈ (- ∞, 6)
Learn more about the inequality visit:
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(MARKING) How many solutions does this equasion have? -4 - 10n = 8h + 10
ANSWER CHOICES
1. No solutions
2. One solution
3. Infinite solutions
Please answer soon will mark!
Answer:
infiintie\
Step-by-step explanation:
Answer:
3rd choice is your answer
Step-by-step explanation:
Could someone please find the rate and y-intercept for these two points? (2,2) and (3,4) the help would be greatly appreciated!!
base= 1.5 area=2 but what does height equal
I think the answer is 3
Answer:
i think its 1.33 repeating
Step-by-step explanation: