Answer:
-3x2 + 12x - 8
Step-by-step explanation:
Equation at the end of step 1
((0 - 3x2) + 12x) - 8
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-3x2 + 12x - 8 = -1 • (3x2 - 12x + 8)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 - 12x + 8
The first term is, 3x2 its coefficient is 3 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is +8
Step-1 : Multiply the coefficient of the first term by the constant 3 • 8 = 24
Step-2 : Find two factors of 24 whose sum equals the coefficient of the middle term, which is -12 .
-24 + -1 = -25
-12 + -2 = -14
-8 + -3 = -11
-6 + -4 = -10
-4 + -6 = -10
-3 + -8 = -11
-2 + -12 = -14
-1 + -24 = -25
1 + 24 = 25
2 + 12 = 14
3 + 8 = 11
4 + 6 = 10
6 + 4 = 10
8 + 3 = 11
12 + 2 = 14
24 + 1 = 25
Answer: y=−3(x−2)^2+4
Step-by-step explanation:
f(x)=-3*x^2+12*x+-8
f(x)=-3*(x^2+-4*x+8/3) ( Factor out )
f(x)=-3*(x^2+-4*x+(-2)^2+-1*(-2)^2+8/3) ( Complete the square )
f(x)=-3*((x+-2)^2+-1*(-2)^2+8/3) ( Use the binomial formula )
f(x)=-3*((x+-2)^2+1*-4/3) ( simplify )
f(x)=-3*(x+-2)^2+4 ( expand )
4. Find the sum of the first eighteen terms of the arithmetic sequence whose nth
term is an = 15 + 8n.
a. 1438
b. 1638
c. 1836
d. 1783
Answer:
The sum of first eighteen terms of the arithmetic sequence is [tex]\mathbf{S_{18}=1638}[/tex]
Option B is correct option.
Step-by-step explanation:
We need to find the sum of the first eighteen terms of the arithmetic sequence whose nth term is an = 15 + 8n
The formula used to calculate sum of arithmetic sequence is: [tex]S_n=\frac{n}{2}(a_1+a_n)[/tex]
Finding a₁ by putting n=1
[tex]a_n=15+8n\\a_{1}=15+8(1)\\a_{1}=15+8\\a_{1}=23[/tex]
We have [tex]a_1=23[/tex]
Finding 18th term n=18
[tex]a_n=15+8n\\a_{18}=15+8(18)\\a_{18}=15+144\\a_{18}=159[/tex]
So, the sum of first eighteen terms of the arithmetic sequence is:
[tex]S_n=\frac{n}{2}(a_1+a_n)\\S_{18}=\frac{n}{2}(a_1+a_{18})\\S_{18}=\frac{18}{2}( 23+159)\\S_{18}=9(182)\\S_{18}=1638[/tex]
So, the sum of first eighteen terms of the arithmetic sequence is [tex]\mathbf{S_{18}=1638}[/tex]
Option B is correct option.
i need help graphing this plz
Answer:
Step-by-step explanation:
Your going to start at -5 then go up 3 and over to the right 2 then repeat it over and over until you get your line. :)
Simplify |−19+9/3| - |14−22/9|.
Answer:
22/9 is correct
Step-by-step explanation:
What equation models the line that goes through the point (12,3) and has a slope of -1/3
Answer:
y= -1/3x+7
Step-by-step explanation:
Find A and B if the graph of Ax + By = 12 passes through (2,1) and is parallel to the graph of 2x - 7y = 3
Answer:
24-21
Step-by-step explanation:
2×12=24 7×3=21 I started from 2×2 towards 2×12 when I got the answer and I started 7×1 towards 7×3
PLEASE HELP ME
SOLVE FOR X
Find the slope of the line.
1/3
-1/3
3
-3
Answer:
if a line is like so it has a positive slope: / . IF a line is like this it has a negative: \
Therefore that leaves out -1/3 and -3
Either A or C is correct
From the y intercept (where the line intercepts the y axis), in this case 2, to the next point on the line (3, 3) it goes up 1 and over 3 to get to that point from the intercept. Therefore the slope is 1/3. (Rise/run)
1/3
Step-by-step explanation:
pile of sand has weight of 90kg the sand is put into a small bag, medium bag and a large bag in the ratio 2:3:7
work out the weight of sand in each bag
Answer:
Sand in small bag = 2x = 2(7.5) = 15 kgSand in medium bag = 3x = 3(7.5) = 22.5 kgSand in a large bag = 7x = 7(7.5) = 52.5 kgStep-by-step explanation:
Total weight = 90 kg
As 90 kg has been distributed in 3 bags in the ratio 2:3:7
Let the small bag contains = 2x
Let the medium bag contains = 3x
Let the big bag contains = 7x
so the equation becomes
2x+3x+7x = 90
12x = 90
x = 90/12
x = 7.5
Thus,
Sand in small bag = 2x = 2(7.5) = 15 kgSand in medium bag = 3x = 3(7.5) = 22.5 kgSand in a large bag = 7x = 7(7.5) = 52.5 kgSOLUTION CHECK
15+22.5+52.5=90 kg
Three times a number added to six is equal to five times the same number.
Answer: 4 times 3 equals 12, and that plus 6 is 18. 18 divided by 5 is not 4, sorry if i interpreted your statement wrong, but that is incorrect, or my brain is melting. Help.
Step-by-step explanation:
Last week, April and Kwaku raised money for Hurricane Harvey victims. April raised $48 which is 150% of what
Kwaku raised. How much money did Kwaku raise?
Answer:
60
Step-by-step explanation:
Answer 48 is a 150% of what number
Step-by-step explanation:
32
150 percent (calculated percentage %) of what number equals 48? Answer: 32.
Select the expressions that are equivalent to 8(-3c).
-24c
C + 5
8 - 30
8(0 - 3)
Divide 405 in the ratio
4:11
Answer:
U
Step-by-step explanation:
Hahahahah
MATH HELP PLS!!! MARKING BRAINLIST!! MaTH
Answer:
11
Step-by-step explanation:
Answer:
s = 11Step-by-step explanation:
Find the difference of functions s and r shown below. r(x) = –x² + 3x s(x) = 2x + 1 (s – r)(x) =
Answer:
[tex](s-r)(x)=x^2-x+1[/tex]
Step-by-step explanation:
So we subtract functions the same way we do numbers, ergo[tex](s-r)(x)=s(x)-r(x)\\ (2x+1)-(-x^2+3x)\\2x+1+x^2-3x\\x^2+2x-3x+1\\(s-r)(x)=x^2-x+1[/tex]Answer:
There are 2 parts of the equation
The first answer to answer is (2x+1)--(-x2+3x)
The second answer is x2--x+1
Step-by-step explanation:
I hope you have a wonderful day!!
Love you all!!
3/8 - ( -1/4 ) simplify
Answer:
5/8
Step-by-step explanation:
Subtracting a negative is the same as adding.
3/8 - (-1/4) = 3/8 + 1/4 = 3/8 + 2/8 = 5/8
Answer:
3/8+2/8=5/8, so the answer is 5/8.
What is the opposite of
Please help
Answer:
-√3
.............
.........
Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets for $25. The venue has the capacity to hold 400 people. The graph represents the number of tickets Anna needs to sell to offset her upfront costs and raise at least $5,000 for her school
What is the minimum number of pre-sale tickets she needs to sell to make her goal?
333
66
67
Answer:
67
Explanation:
Let us assume that Anna sells x number of pre-sale tickets and y number of at-the-door tickets.
Since, total capacity of the venue is 400, so we can write x + y = 400 ...... (1)
Now, given that each pre-sale ticket costs $10 and each at-the-door ticket costs $25, and the total funds she needs to raise is $5000
So, we can write 10x + 25y = 5000, ⇒ x + 2.5y = 500 .... (2)
Now, solving equations (1) and (2) we get,
(2.5 - 1)y = 500 - 400 = 100
⇒ 1.5y = 100
⇒ y = 66.67
Hence, from equation (1) we get, x = 400 - 66.67 = 333.33
Since Y can't be a fraction and it can not be < 66.67 (Otherwise the goal of $5000 can not be achieved)
So, the minimum number of at-the-door ticket she needs to sell to make her goal is 67.
The minimum number of pre-sale tickets she needs to sell to make her goal are 333.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets for $25. The venue has the capacity to hold 400 people.
We can write the equations representing the given situation as -
10x + 25y = 5000 ....... Eq{1}
x + y = 400 ....... Eq{2}
where [x] represents the number of people who bought the pre-sale tickets for $10 and [y] represents the number of peoples who bought at-the-door tickets.
So, we can write -
x = (400 - y)
So, we can write -
10(400 - y) + 25y = 5000
4000 - 10y + 25y = 5000
15y = 5000 - 4000
15y = 1000
y = 66.67
So, we get -
x = 400 - 66.67
x = 333.34
x = 333 {approx.}
Therefore, the minimum number of pre-sale tickets she needs to sell to make her goal are 333.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
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A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches. Use π = 3.14. What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)
Answer:
The volume of the cylinder is 1.5 more that the one of the cone (i think)
Step-by-step explanation:
HOPE THIS HELPS (i am not sure it is correct)
PLZZ MARK BRAINLIEST if correct
Answer:
Step-by-step explanation:
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use π = 3.14.
X varies directly with the square of y, where x > 0, and y > 0. If x= 3 when y= 5, then what is the value of y when x = 48?
Answer: 50 i think
Step-by-step explanation:
Identify the error in this column:
(x2 + 3x + 18) = (x + 3)(x + 6)
Answer:
The error is found in the "3x" part of the equation.
Step-by-step explanation:
The rest of the equation is correct because x times x = x2. And 6 times 3 = 18. But x times 6 = 6x, and 3 times x = 3x, and 6x+3x=9x. 9x doesn't = 3x
Answer:
It should be 9x instead of 3x on the left-hand side of the equation.
Step-by-step explanation:
We can expand the equation (x+3)(x+6) to find out:
(x+3)(x+6) = x² + 6x + 3x + 18
We multiply x with x then x with 6.
Then, we multiply 3 with x and 3 with 6.
x² + 6x + 3x + 18 = x² + 9x + 18
Choose the inequality that describes the following problem.
Mark wants to get at least a 90% for his marks in his science class. So far, he has
taken five 100-points tests, and he scored 460 points total. The final test is 150
points. What must he score to finish the class at his goal of at least 90%?
Answer:
[tex]x\geq 125[/tex]
Step-by-step explanation:
So first we have to find out the total number of points possibleSo he took 5 tests each with a max score of 100 points, so that's 500 points totalThe final test will be 150 points, so his whole grade is out of 500+150= 650 pointsHe has already scored 460 of those 650 pointsNow how much must he get in the least, on the last test in order to make 90%?Now we need to find what 90% of 650 points isso [tex]\frac{90}{100} *650=\frac{90*650}{100} =585points[/tex] Then we ask ourselves, how much must we add to 460, to get 585 points? 585-460= 125 pointsSo Mark needs to get either 125 points or more on the next test to make 90% or moreNow let's say the letter [tex]x[/tex] means whatever grade number Mark gets on his next testThis number must not be less than 125, so it must be either equal to or greater than 125 pointsSo [tex]x\geq 125[/tex]Please solve this it’s due in 2 hours I’ll give brainliest ONLY ANSWER IF YOU KNOW
Answer:
All are positive, and point upwards. The angle that they increase along the horizontal axis is different.
Step-by-step explanation:
There are no negative signs that the x is multiplied in any of the equations, and the number they are multiplied by is different for each graph: one is 1, another is 2, and the last is 3.
I need help with this
Answer:
A, B, and C
Step-by-step explanation:
We can substitute each number into each equation
2 < -1 + 5 true
2 > 1 true
1 > 0 true
A is correct
4 < -1 + 5 true
4 > 1 true
1 > 0 true
B is correct
3 < -0 + 5 true
3 > 0 true
0 > 0 true
C is correct
5 < -2 + 5 false
D is incorrect
0.7456 nearest thousandth
Answer:
0.746
Step-by-step explanation:
Solve for X. x/7 + 9/1= 15
Answer:x=42 i think not a 100
Step-by-step explanation:
Point A is located at and point B is located at . What is the distance between points A and B? (1 point)
Question 9 options:
1)
= ; therefore, the distance from A to B is units
2)
= ; therefore, the distance from A to B is units
3)
= ; therefore, the distance from A to B is units
4)
= ; therefore, the distance from A to B is units
As your question is missing some information, so after some research I was able to find the potential question you wanted to ask which is:
Point A is located at negative 4 over 6 and point B is located at negative 1 over 6. What is the distance between points A and B?
So, I am going to answer you based on the complete question I was able to find, which anyways would clear your concept.
Answer:
The distance between A and B will be: [tex]\frac{3}{6}[/tex]
Step-by-step explanation:
From the question statement, it is clear that
Point A is located at negative 4 over 6 i.e. -4/6, and
point B is located at negative 1 over 6 i.e. -1/6.
As we know that we can determine the distance between two negative numbers on a given line by finding the distance by taking the absolute value of the difference between those numbers.
so,
Distance between A and B will be:
[tex]\left|-\frac{4}{6}-\left(-\frac{1}{6}\right)\right|=\left|-\frac{4}{6}+\frac{1}{6}\right|[/tex]
[tex]=\left|\frac{-4+1}{6}\right|[/tex]
[tex]=\left|-\frac{3}{6}\right|[/tex]
[tex]=\frac{3}{6}[/tex]
Hence, the distance between A and B will be: [tex]\frac{3}{6}[/tex]
point A is located at -2, 5
point B is located at 5,5
the distance is 7 units
What is the sales tax on a $17,500 truck if the tax rate is 6%?
Answer:
$1050
Step-by-step explanation:
The sales tax on a $17,500 truck when the tax rate is 6% is $1050.
Feel free to give brainliest.
Have an outstanding day!
What’s the value for y?
Answer:
c -2
x=0
y=3x-2
=3×0-2
=0-2
=-2
Iliana claims that she can construct a triangle from a 12-inch rod, a 36-inch rod, and a 39.4-inch rod. Which statement explains whether she is correct?
Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.
Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.
Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
Iliana will be able to construct a triangle because the sum of any two sides is less than the third side.
Answer:
C. Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
Step-by-step explanation:
edge
Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
How to determine the correct statement?The sides of the triangle are given as:
12, 36 and 39.4 inches
According to the triangle inequality theorem, the following must be true
x + y >= z
Where z is the longest side.
This means that:
12 + 36 >= 39.4
Evaluate the sum
48 >= 39.4
The above inequality is true
Hence, the true statement is (c)
Read more about triangle inequality theorem at:
https://brainly.com/question/9165828
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A 234 inch board is cut into two pieces. One piece is five times the length of the order. Find the length of the shorter piece.
Answer:
39 inches
Step-by-step explanation:
5x+x=234
6x=234
234/6=39
x=39 inches