Answer:
The equation 10x2+28x-6 can be simplified using a few steps. Firstly, the greatest common factor (GCF) needs to be identified. The GCF of this equation is 2, which can be identified by factoring out the coefficient of the first term, 10. After factoring out 2, the equation becomes -3 + -14x + 5x2.
The next step is to factor the remaining polynomial. This can be done by multiplying the coefficient of the first term by the constant and then finding two factors whose sum equals the coefficient of the middle term. In this case, the multiplication of the coefficient of the first term (5) and the constant (-3) gives -15. Then, two factors of -15 whose sum adds up to -14 must be found. These factors are -15 and 1. Therefore, the equation can be rewritten as 5x2 - 15x + 1x - 3.
Afterwards, the four terms in the equation can be added up in pairs, pulling out like factors. This results in (5x+1)(x-3), which is the desired factorization. Finally, the expression can be written as 2(x-3)(5x+1). Thus, the GCF of 10x2+28x-6 is 2.
Step-by-step explanation:
Answer:
2 is the answer .
if u r not sure u can try doing it yourself
the answer will be the same as I told
The following problem describes procedures that are to be applied to numbers. Repeat the procedure for four numbers of your choice. Write a conjecture that relates the result of the process to the original number selected. Select a number. Multiply the number by 88. Add 88 to the product. Divide this sum by 44. Subtract 2 from the quotient.
Answer:
Conjecture: For every number x, the result of the is 2x
Step-by-step explanation:
First Number: 8
Multiply by 88: [tex]88 * 8 = 704[/tex]
Add 88: [tex]704 + 88 = 792[/tex]
Divide by 44: [tex]792/44 = 18[/tex]
Subtract 2: [tex]18 - 2 = 16[/tex]
Second: 10
Multiply by 88: [tex]88 * 10 = 880[/tex]
Add 88: [tex]880+88=968[/tex]
Divide by 44: [tex]968/44=22[/tex]
Subtract 2: [tex]22-2=20[/tex]
Third: 5
Multiply by 88: [tex]88*5 = 440[/tex]
Add 88: [tex]440+88=528[/tex]
Divide by 44: [tex]528/44=12[/tex]
Subtract 2: [tex]12-2=10[/tex]
Fourth: 2
Multiply by 88: [tex]88*2=176[/tex]
Add 88: [tex]176+88=264[/tex]
Divide by 44: [tex]264/44=6[/tex]
Subtract 2: [tex]6-2=4[/tex]
On a general terms:
Let the number be x.
Multiply by 88: [tex]88x[/tex]
Add 88: [tex]88x + 88[/tex]
Divide by 44: [tex]\frac{88x + 88}{44} = \frac{88x}{44} + \frac{88}{44} = 2x+2[/tex]
Subtract 2: [tex]2x + 2 - 2 = 2x[/tex]
Notice that for every input x, the result is 2x
(BRAINIEST AND 7 POINTS !) One year ago Derek joined a health club. He paid a yearly membership fee of $28 that covered all the club's services except the raquetball
court. Derek paid an additional $7 each time he used the raquetball court. For the entire year at the health club, Derek paid a total of $119.
PART 1: Write an equation to represent the number of times (x) that Derek used the raquetball court.
Equation:
PART 2: Solve the Equation your wrote for part 1.
X=
—————————————
This is worth 60% of my grade ! Please help.
Answer: 7x+28=119
x=13
Step-by-step explanation:
Answer:
119= 7x + 28
x=13
Step-by-step explanation:
This problem requires an equation. y= mx+ b, where y is your total, mx is your slope, and b is your y intercept. Your total is 119, your yearly fee is 28 ( which is b since it only happens ones), and 7 is x (since x represents each time) So 119=7x+28. Now to solve this we would subtract 28 from both sides and then divide that number by 7. So 119-28 is 91. 91/7 is 13. He used the racketball court 13 times. You can plug 13 to make sure.
119= 7(13) + 28.
Replace the ? With one of the following symbols
Answer:
C. 2 +3 = 4 + 1
Step-by-step explanation:
A store has 40 bags of potato chips on the shelf. Of those bags, 30 are cheddar-flavored. What percentage of the bags of potato chips are NOT cheddar flavored?
Answer:
25%
Step-by-step explanation:
30/40 = 0.75 = 75% which ARE cheddar flavored
100%-75% = 25%
An airline company does not charge an extra fee if the weight of a passenger's luggage is less than 55 pounds.
Part A
On the number line, represent the values when the airline company does not charge an extra fee.
Part B
Create an inequality that represents this situation. Let p represent the weight of a passenger's luggage
Answer:
Let's solve first the part B.
We know that the company does not charge an extra fee is the luggage is less than 55 pounds.
Then if p represents the weight of the passenger's luggage, we need to have:
p is smaller than 55 lb
We also can write this as:
p < 55lb
where the symbol "<"
means that the left side is strictly smaller than the right side.
If we want to be more precise in the notation, we also should have a lower limit.
0lb < p < 55lb
Where the lower limit is because the weight of the luggage can not be zero or smaller than zero.
This is the inequality we wanted.
Now, how we represent this on a number line?
when we have:
x > a
We represent this with a open circle at x = a (this means that x = a is not a solution) and we draw an arrow to the right of a.
and for:
x < a
we represent this with an open circle at a, and we draw an arrow to the left of a.
And if we have:
a < x < b
we draw an open circle at x = a and another at x = b, and all the points between these circles will be solutions.
You can see the graph of the inequality below.
Part A)
(where the point of the arrow should not be there, and both circles should be white)
Help please please please please
Answer:
225000
Step-by-step explanation:
1. (07.01 LC)
Look at the triangle:
What is the value of sin xº?
A) 12/13
B) 13/5
C) 13/12
D) 5/13
Answer:
D) 5/13
Step-by-step explanation:
Sin x = Opposite / Hypotenuse
Opposite side length = 5 cm
Hypotenuse length = 13 cm
Sin x = 5/13
f(x) = -x + 2, find f(6)
Answer:
f(6)=-(6)+2=-4
........................
What is the fraction form of Sin 50° ÷ Sin 30°
Answer:
my insta is _luhbhabie_
Step-by-step explanation:
Marisol buys 3 notebooks that each cost the same amount and 1 calculator that costs $9. The total cost is $21. How much does each notebook cost?
Answer: 4 dollars for each notebook
Step-by-step explanation:
21-9= 12
12/3=4
each notebooks costs 4 dollars
Answer:
$4
Step-by-step explanation:
−4x+7y=3 what are the intercepts!!!!!
Evaluate the expression.
2
3
(
−
7
)
+
2
3
(
−
5
)
3
2
(−7)+
3
2
(−5)
Answer:
add my sc = bmic ava, no spaces
or add my discord = XoXo_ava
Step-by-step explanation:
Also have a great day and remember youre worth, dont let no boy/girl tear u down. leave them h*es aside and focus on yo self!!!
Do any of you know how to rewrite the equation
X+y=3
Into something where it has x= or y= instead of it =3?? I have to graph it on a graph but don’t know how to do it with the equation set up like this.
How long will it take John to walk 9 miles if he is walking at a speed of 3 miles per hour?
A.
5 hours
B.
4 hours
C.
9 hours
0 O
D.
3 hours
Answer:D. 3 hours
Step-by-step explanation:
The answer is D.
But I doubt he'll be walking for three hours straight.
Solve the image, and you get points.
factorise completely 4ab+6ac-6bd-9cd
Answer:
(2b+3c) × (2a-3d)
Step-by-step explanation:
plz mark as brainliest
The factors of 4ab+6ac-6bd-9cd are (2a-3d) and (2b+3c).
What are factors?Factors are those numbers or expressions which when together be multiplied results the same numbers whose factors they are. It can be found for equations and expressions as well. It includes those number which divides the given number to get another factor value.
How to find factors?We have been given expression 4ab+6ac-6bd-9cd and we have to find the factors of the expression.
Factorization can be done as under:
Expression=4ab+6ac-6bd-9cd
=2a(2b+3c)-3d(2b+3c)
[we have to take common expression from two terms like we did above]
=(2a-3d)(2b+3c)
Hence the factors of expression 4ab+6ac-6bd-9cd are (2a-3d) and (2b+3c).
Learn more about factorization at https://brainly.com/question/25829061
#SPJ2
Consider a bag with 5 green marbles, 3 blue marbles, and 2 red marbles. If two marbles are drawn without replacement what is the probability that they are both blue?
A) .055556
B) .066667
C) .077778
D) .088889
Help please? This is due in a few minutes.
Answer:
The mean is 33
Step-by-step explanation:
11 + 22 + 33 + 44 + 55 = 165.
165 / 5 = 33.
P=D•W what does this mean in a formula
Instant brainliest please help.
solve 3/5-(1/6+5/18)
Answer:
7/45
Step-by-step explanation:
IF U NEED THE STEPS LEMME KNOW
Can someone please help me with the last three?? I don’t know what I keep doing wrong.
Answer:
1. 78.22%
2. 0.342%
3. 21.77%
Step-by-step explanation:
To find the percentage, you multiply the fraction of those tested positive/negative (based on the question) out of the total by 100%.
1. [tex]\frac{970}{1240}[/tex] × 100% = 78.22% (2 d.p.)
2. [tex]\frac{30}{8760}[/tex] × 100% = 0.342% (3 d.p.)
3. [tex]\frac{270}{1240}[/tex] × 100% = 21.77% (2 d.p.)
someone pls answer this-
An insector found 24 defective cameras during an inspection. If this is 0.016% of the total numbers of cameras inspected. How many cameras were inspected?
Answer:
150,000.
Step-by-step explanation:
Given that an insector found 24 defective cameras during an inspection and this is 0.016% of the total numbers of cameras inspected, to determine how many cameras were inspected the following calculation must be performed:
0.016 = 24
100 = X
100 x 24 / 0.016 = X
2,400 / 0.016 = X
150,000 = X
Thus, the total number of cameras that were inspected is 150,000.
what is the surface area of this cone
Answer:
14
Step-by-step explanation:
Heres a challenge!! Marking most Brainly:)))
Answer:
(30, 90) is a viable solution
(50, 160) is a nonviable solution
Step-by-step explanation:
The diagram shows a plastic solid made by joining a hemisphere to a cone. The radius of the hemisphere is 5cm and the height of the cone is 12cm.
i) Calculate the volume of the solid.
ii) Calculate the total surface area of the solid.
Answer:
575.8 cubic cm
Step-by-step explanation:
V(cone) = 1/3· π · r² · h
V = 1/3 · π · 25 · 12
V = 4(25)π or 100π = 314
V(half-sphere) = (4/3 · π r³)/2
V = (4/3π · 125) = 261.8
HELPPPPPP MEEEE PLEASE AND THANK YOU ILL MARK YOU BRAINLIEST
An online video streaming service offers two plans for unlimited streaming. Plan A has a one-time $25 membership fee and is $8 per month. Plan B has a $5 membership fee and is $12 per month.
Write a System of Equations that represents the 2 plans
For which months is Plan A the less expensive option? For which months is Plan B
the less expensive option?
Answer:
Plan A : f(x) = 25 + 8x
Plan B : f(x) = 5 + 12x
Plan A is better if used for more than 5 months (5 - ∞), plan B for 1 - 4 months
Step-by-step explanation:
x represents months
Plan A : f(x) = 25 + 8x
Plan B : f(x) = 5 + 12x
The equilibrium is when both of these functions have the same value
25 + 8x = 5 + 12x
4x = 20
x = 5
Now we compare these two plans before the 5 months,
e. g. when x = 2
The cost of plan A: 25 + 8x = 25 + 8 * 2 = 41$
The cost of plan B: 5 + 12x = 5 + 12 * 2 = 29$
Since 41$ > 29$, for 1-4 months plan B is a cheaper option, then after 5 months the costs of these two plans are equal and then plan A will be the cheaper aka less expensive option.
Make me the brainliest ;)
Which of the following sets does NOT represent a function.
O {(1,9), (-1,-9),(2,9), (-2, -9) }
O {(1,-9), (2,-5), (-1,9), (-2,5)}
O {(1,9) (-1,5), (2, -9), (-2,-5) }
O {(1,9), (1,-9), (2,5),(2,-5) }
Answer:
last one, the same X cant have more than one Y.