Answers
[tex]\dfrac{x}{4} < -1.5\\\\\implies \dfrac x4 < -\dfrac 32\\\\\implies x < -\dfrac{3}2 \times 4\\\\\implies x< -\dfrac{12}2}\\\\\implies x<-6[/tex]
Related Questions
What is not an example of potential energy?
Question 3 options:
A stretched rubber band
A ball sitting high on a shelf
A pendulum at the top of its swing when it briefly stops
A car accelerating down a hill
Answers
Answer:
a car accelerating down a hill
Step-by-step explanation:
because if an object is moving at a speed, then it has kinetic energy because its moving, not potential energy. potential energy is strored energy meaning that it has the potential to move.
Write the phrase as an expression. Then evaluate the expression when $y=20.
3 less than the quotient of a number y and 4
Answers
Answer:
20/4 -3, which equals 5-3, or 2
Step-by-step explanation:
3 less than= -3
the quotient of a number y and 4, with y being 20= 20/4
Divide: 20/4 = 5
combine the terms, either 5-3 or -3 +5, you'll end up with 2 either way
Which sentence is incorrect?
A. -4 > -7
B. 5/2=2.5
C. -2.5<-3
D. - 2/5 = -0.4
Answers
Answer: D
Step-by-step explanation: D is the incorrect
I need help due today
Answers
Answer:
Step-by-step explanation:
y=mx+b b= y-intercept y-intercept=where the line crosses the y-axis m=slope slope== rise/run or slope formula, m=y2-y1/x2-x1
For example, number 1's slope is 5/3. On a graph, you would go up 5 (not in block, but in numerical value) and right 3. The y-intercept is -2. This is where your line starts on the graph.
sorry, cant help ya there buddy
solve for x enter the solution from least to greatest (x - 1)^2 - 9 = 0 Lesser x = ___ greater x = ____
Answers
Answer:
X=4 or X=-2
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • -8 = -8
Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is -2 .
-8 + 1 = -7
-4 + 2 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 2
x2 - 4x + 2x - 8
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
2 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-4)
Which is the desired factorization
Equation at the end of step
1
:
(x + 2) • (x - 4) = 0
STEP
2
:
Theory - Roots of a product
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
2.2 Solve : x+2 = 0
Subtract 2 from both sides of the equation :
x = -2
Solving a Single Variable Equation:
2.3 Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
Supplement : Solving Quadratic Equation Directly
Solving x2-2x-8 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
3.1 Find the Vertex of y = x2-2x-8
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 1.0000
Plugging into the parabola formula 1.0000 for x we can calculate the y -coordinate :
y = 1.0 * 1.00 * 1.00 - 2.0 * 1.00 - 8.0
or y = -9.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-2x-8
Axis of Symmetry (dashed) {x}={ 1.00}
Vertex at {x,y} = { 1.00,-9.00}
x -Intercepts (Roots) :
Root 1 at {x,y} = {-2.00, 0.00}
Root 2 at {x,y} = { 4.00, 0.00}
Solve Quadratic Equation by Completing The Square
3.2 Solving x2-2x-8 = 0 by Completing The Square .
Add 8 to both side of the equation :
x2-2x = 8
Now the clever bit: Take the coefficient of x , which is 2 , divide by two, giving 1 , and finally square it giving 1
Add 1 to both sides of the equation :
On the right hand side we have :
8 + 1 or, (8/1)+(1/1)
The common denominator of the two fractions is 1 Adding (8/1)+(1/1) gives 9/1
So adding to both sides we finally get :
x2-2x+1 = 9
Adding 1 has completed the left hand side into a perfect square :
x2-2x+1 =
(x-1) • (x-1) =
(x-1)2
Things which are equal to the same thing are also equal to one another. Since
x2-2x+1 = 9 and
x2-2x+1 = (x-1)2
then, according to the law of transitivity,
(x-1)2 = 9
We'll refer to this Equation as Eq. #3.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-1)2 is
(x-1)2/2 =
(x-1)1 =
x-1
Now, applying the Square Root Principle to Eq. #3.2.1 we get:
x-1 = √ 9
Add 1 to both sides to obtain:
x = 1 + √ 9
Since a square root has two values, one positive and the other negative
x2 - 2x - 8 = 0
has two solutions:
x = 1 + √ 9
or
x = 1 - √ 9
Solve Quadratic Equation using the Quadratic Formula
3.3 Solving x2-2x-8 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -2
C = -8
Accordingly, B2 - 4AC =
4 - (-32) =
36
Applying the quadratic formula :
2 ± √ 36
x = —————
2
Can √ 36 be simplified ?
Yes! The prime factorization of 36 is
2•2•3•3
√ 36 = √ 2•2•3•3 =2•3•√ 1 =
± 6 • √ 1 =
± 6
So now we are looking at:
x = ( 2 ± 6) / 2
Two real solutions:
x =(2+√36)/2=1+3= 4.000
or:
x =(2-√36)/2=1-3= -2.000
Simplify each expression involving signed numbers.
-7 – 2 =
12 + (-4) =
-8(-6) =
18/-3=
Answers
Answer:
-5 , 8 , 48 , -6
Step-by-step explanation:
-7- -2 = -5
This complies with the rule that 2 negatives make a positive.
12 + (-4) = 8
You just ignore the brackets.
-8(-6) = 48
The -8 next to the bracket with no symbol means you need to multiply, and again 2 negatives make a positive.
18/-3 = -6
As the 18 is not negative, but -3 is, the answer is also a negative because one negative and one positive make a negative!
Hope this helps and have a good day!
hope I helped
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: 1. 447
2. 572
3. 257
Step-by-step explanation:
The stained glass window shown is a half circle. What is the perimeter of the window? use 3.14 for π. Show your work.
Answers
Answer:
81.64
Step-by-step explanation:
]
1/2(3.14x26)
3.14(26)=81.64
81.64/2= 40.82
Leroi and Sylvia both put $100 in a savings account. Leroi decides he will put in an additional $10 each week. Sylvia decides to put in an additional 10% of the amount in the account each week.
Who has more money after the first additional deposit? Explain.
Who has more money after the second additional deposit? Explain.
Answers
$100
After first deposit = $100+$10=$110
After second deposit= $110 + $10 = $120
Sylvia’s account
$100
10% of $100 is $10
After first deposit = $100+ $10 = $110
10% of $110 = $11
After second deposit = $110 + $11 = $121
Therefore after their first deposit, both will have the same value in their accounts.
But after the second deposit, Sylvia will have 1$ more in her account than Leroi.
Answer:
ok just follow these steps
Step-by-step explanation: part over whole like this part then percent over 100% like this percent
-----------over ------------------
whole 100%
write 28 x 32 in distributive property
Answers
Answer: I'm not sure if anyone else has answered but ~ The Answer is 4* 14
Hoped this helped i'm learning the same thing
Step-by-step explanation:
please help me with problem with clear explanation
Answers
Answer:
this doesn't even make any sense
Step-by-step explanation:
both -5.4 and 5.4 go off the m.f grid
•The finishing point will be located in quadrant S
Explanation: the x and y values determine where the points are located on the graph
2. The starting point is (-5.4, 3) and the checkpoint is (5.4, 3). The difference is they’re both in different quadrants, and one has a negative value, and the other is positive. They are related because they’re all in one race, and the checkpoint will be involved in the race, most likely between the start and finish points, located in quadrant P.
I hope that helps, merry Christmas and happy holidays! :)
please help ! i'll give brainliest to the first person who gets it right ! :,>
Answers
Answer:
±16
Step-by-step explanation:
the square root of 256 is positive or negative 16! (if it only lets you put one answer, put positive 16).
Answer:
16
Step-by-step explanation:
16*16=256
6 3/7 minus 1 3/6 equals _?
Answers
Hope this helps.
Answer:
umm
Step-by-step explanation:
help me plzzzzzz 5 buck
Answers
Answer:
The unit rate for the first bag is about 2.50 and for the second bag it is about 2.42. The second bag is the better bag because it has a smaller unit rate.
Step-by-step explanation:
Divide the amount of money by the weight of each bag to find the unit rate.
A i do believe
Step-by-step explanation:
7 increased by a number w
An expression is
Answers
Solve for x.
25(x−12)=−234 will name you the brainllest fastest answer
Answers
Answer:
2.64
Step-by-step explanation:
looked it up
Answer:
66/25 or 2.64
Step-by-step explanation:
times 25 and x to get 25x and then 25 and 12 to get -300, put it togather as an equation to get 25x-300= -234. Next move postive 300 to -234 do the math and get 66=25x. last divied 66 and 25 to get 2.64 or in a fraction 66/25
Beth is half as old as Meg. Enter an algebraic expression based on this situation.
The algebraic expression for this is ____________
Answers
Answer:
b = 1/2m
Step-by-step explanation:
Let:
b = beth's agem = meg's ageThe prompt tells us that Beth is half as old as Meg. Therefore, mathematically, b = 1/2m.
Which expression is equivalent to
5
p
2
+
3
p
2
−
6
p
? first correct answer gets brainliest pog
Answers
8p2 - 6p
Explanation
Reorder and gather like terms: (5p2 +3p2)-6p
Collect coefficients for the like terms: (5+3)p2-6p
Answer:
8p2-6p
Answer : The correct answer is 8p2 - 6p
Please answer when u can! (asap, pls in 5 or less minutes ;-;) No links pls
((THE QUESTION INFO) Marina, Cleo, and Paul are buying paper plates for a big cookout. A 4-pack of plates sells for $0.37 and a 48-pack sells for $3.84. They each use a different method to decide which option is the best buy. Decide which methods use correct reasoning. Write an equation relating the cost C to the number of plates p for the best option. )
question B. Write the equation for the best option, relating the cost C to the number of plates p.
Answers
Answer:
2+2=4
Step-by-step explanation:
will giver brainliest to the person with the most detailed answer. That means tell me how you got ur answer. And the person who answers with the most clear explanation as well. Good luck!! This is due in 8 minutes as well. And pls number ur answers in order so it is clear!!
Answers
Answer:
Step-by-step explanation:
There are 31 girls and 25 boys in the marching band. When the band marches, they are in 7 rows. How many people are in each row?
Answers
Answer:
there are 8 people in each row
Step-by-step explanation:
(31+25) ÷ 7
Answer:
8 people
Step-by-step explanation:
Since there are 31 girls and 25 boys, you can add them to get 56 people total.When they march, there are 7 rows. So, you can divide 56 by 7, and get 8.Therefore, you have 8 people in each row.Rewrite each of the following expressions without using absolute value bars.
a
|x−4| if x>4
b
|x−y| if x
c
|3r−15| if r<5
Answers
a y=x-4 if x>4
b INCOMPLETE
c 3r-15 is r<5
what is 54 x 67 ? Plz help!!!!
Answers
Answer:
3618
Step-by-step explanation:
A fruit market equally divided 80 red apples into 8 containers, and equally divided 54 green apples into 6 containers. Natalie bought 1 container of red apples and 1 container of green apples.
Which equation could be used to find n, the total number of apples Natalie bought?
80 ÷ 6 + 54 ÷ 8 = n
80 ÷ 8 + 54 ÷ 6 = n
(80+54)÷(8+6)=n
80 × 8 + 54 × 6 = n
Answers
Answer:
The second one
Step-by-step explanation:
80 / 8 tells how many red
+ 54 / 6 tells how many green
80 red apples into 8 containers = 80/8
54 green apples into 6 containers = 54/6
1 container of red = 80/8
1 container of green = 54/6
If I want to find the total of the apples Natalie bought I add the two containers together
So 80/8+54/6=n
n=10 red+9 green
n=19
19 apples
2(3y + 7 + 5) = 196 - 16
what’s the value of y?
And tell me how you know this and why or Y ahahahahahaha
Answers
Answer:
y=60
Step-by-step explanation:
196 - 16 = 180
7 + 5 = 12
12 + 3y = 15y
2 * 15y = 30y
180 ÷ 30 = 60
y = 60
Answer:
y=26
Step-by-step explanation:
Let's solve your equation step-by-step.
2(3y+7+5)=196-16
Step 1: Simplify both sides of the equation.
2(3y+7+5)=196-16
(2)(3y)+(2)(7)+(2)(5)=196+-16 (Distribute)
6y+14+10=196+-16
(6y)+(14+10)=(196=-16) (Combine Like Terms)
6y+24=180
Step 2: Subtract 24 from both sides.
6y+24-24=180-24
6y=156
Step 3: Divide both sides by 6.
6y/6 = 156/6
y=26
PLEASE HELP FAST! DUE TODAY AND CANT HAVE A 0!
Answers
Answer:
ok so i think it is 5/9
Step-by-step explanation:
both equal 0.5 in decimal point
Answer:
The last option is correct
Step-by-step explanation:
Eg: i take -4/9
If your answer id 4/-9 , the negative sign will always go on the top so answer will be -4/9
Thus its similar
Hope you understood
if not I will explain again !
Your welcome !
Find the selling price.
Markup ($) = percent markup (%) x original cost ($)
Selling price ($) = original cost ($) + markup ($)
A local gaming store bought a gaming console for $90. The gaming store sold the console, and the percent markup was 162%. What is the selling price?
The selling price is: $_________
Skip to navigation
Answers
Answer:
$145.80
Step-by-step explanation:
The original cost of the product was $90. There was a 162% markup. In order to get the selling price, I like to take away 100 percent and simply add original price+(original price*62%). After taking away 100%, I am left with 62%. I then multiply the original cost ($90) by the remaining percent (62%), getting 55.8. Following the steps that I originally wrote, I now add 90 to 55.8, getting 145.8.
Answer:$145.80
Step-by-step explanation:
Mr. Quick bought a new computer system. The regular price was $1,580, but he got a 15% discount. How much did he actually pay?
Answers
Answer:
$1343
Step-by-step explanation:
Mr. Quick bought a new computer system. The regular price was $1,580, but he got a 15% discount. How much did he actually pay?
You need to turn 15% into a decimal.
Move the decimal point to the left 2 spaces.
15 ---> 1.5 ---> 0.15
Now multiply 0.15 by $1,580.
0.15 × $1,580
Which is $237.
Now subtract $1580 - $237.
Which is $1343.
Answer:
$1580*15/100=$237that is discount rate.
$1580-237=$1343 actually pay
Will mark brainlest pls dont answer if you don't know! fill in the table by following the rules provided for each backpack
Answers
Two quantities are related, as shown in the table:
x y
2 3
4 4
6 5
8 6
Which equation best represents the relationship?
A. y = 1/2x + 2
B. y = 1/2x + 1
C. y = x + 2
D. y = 2x + 1
Answers
Answer:
B. y = 1/2x + 1
Step-by-step explanation:
y is added up by 1, while it is split 1/2 from x.
hope this helps.