if x^3+ax^2-18x+b = (x+5)(x-4)(x+2) what is a and b
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[tex] (x + 5)(x - 4)(x + 2) = [/tex]
[tex](x + 5) ({x}^{2} - 2x - 8) = [/tex]
[tex] {x}^{3} - 2 {x}^{2} - 8x + 5 {x}^{2} - 10x - 40 = \\ [/tex]
[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]
_________________________________
Compare :
[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]
[tex] {x}^{3} + a {x}^{2} - 18x + b[/tex]
Thus :
[tex]a = 3[/tex]
and
[tex]b = - 40[/tex]
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Item 1
Solve the equation.
3h=15
h=
Answer:
h=5
Step-by-step explanation:
U
(3x -9)
30°
240
w
What is the value of x?
1.
21
2.
39
3
45
4
126
Answer:
option 3, 45
Step-by-step explanation:
3x - 9° + 30° + 24° = 180° (angle sum property of a triangle)
3x - 9° + 54° = 180°
3x + 45° = 180°
3x = 180° - 45°
3x = 135°
x = 135/3
x = 45°
therefore, option 3 is the correct option
what do you divide (-2/3) with to get 3/10
Answer:
the equation forms like this
-2/3 divide x =3/10
Solve for
x
by cross multiplying.
Exact Form:
x=− 20/9
Decimal Form:
x=−2.¯2
Mixed Number Form:
x=−2 2/9
Which set of ordered pairs represents a function? (1 point)
A) {(0, 1), (1, 3), (1, 5), (2, 8)}
B) {(0, 0), (1, 2), (2, 6), (2, 8)}
C) {(0, 0), (0, 2), (2, 0), (2, 4)}
D) {(0, 2), (1, 4), (2, 6), (3, 6)}
Subtract. -2-(-7) =
Can sumone give me the right anwser this time?
Answer:
5
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME COMPLETE THIS TABLE I HAVE BEEN STUCK ON IT
Answer:
the first empty box is: $25
the third epty box is: $75
the forth empty box is: $200
Step-by-step explanation:
0.5 = $25
Omar's classroom has 2 closets. Each closet has 3 shelves. There are 5
backpacks on each shelf.
Answer:
There are 30 backpacks on each shelf if thats what your asking
Step-by-step explanation:
Because 2 times 3 is 6 and 5 times 6 is 30
will mark brainliest
Answer:
12 sq units
Step-by-step explanation:
Can someone solve what y=?
Answer:
y = 1
Step-by-step explanation:
This is because the line intersects the y-axis at 1.
Answer: y=-2x+1
Step-by-step explanation: The slope is -2 and the y-intercept is 1
Louisa spent 5/8 of an hour on math homework, 1/6 of an hour on science homework, and 7/12 of an hour on English homework. How much time total did she spend on homework? Pls help
Thx
Answer:
1.375
Step-by-step explanation:
5/8+1/6+7/12
I need help with this can someone help me
Answer: The area of the shaded face is 200.
Step-by-step explanation: All of the sides of the 2 squares have side lengths of 10. Multiply 10 and 10. Then, do that on the other sqaure. Lastly, you add the area of those 2 sqaures.
Find the length of DF or state what additional information you would need to find it.
Answer:
DF=3.75
Step-by-step explanation:
24/6=15/x
cross multiply to get 24x=90
x=3.75
The length of side DF will be 5 units.No more additional information would need to find, all the information is already given.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
All the given information is shown in the figure attached.
Since the two triangles are congruent the ratio of their sides is equal,
BC / EF = AC / EF
Suppose the length of side DF is x.
20/DF=24 /6
20/x = 24 / 6
x = 20 / 4
x=5
DF = 5 units
Thus, the length of side DF will be 5 units.No more additional information would need to find, all the information is already given.
Learn more about the congruent triangle here:
brainly.com/question/12413243
#SPJ2
44.56 divided by 4.46
Answer:
9.99103139013
Step-by-step explanation:
For the rounded version it would be 10.00 rounded to the nearest whole
Which equation describes the line that passes through (-3,1) and is parallel to the line described by y =4x+1
If the product of the extremes is 8,then the geometric mean is 2 4 2√2
Answer:
the correct answer choice would be choice C. or 2√2
Step-by-step explanation:
I have the same assignment in odyssey and other brainly user helped me solve this answer :)
have a nice day!
-cherry
Answer:
2√2
Hello, the answer to your question would be the above.
Please disregard the user who stated otherwise, the assignment does not ask for a decimal, it only asks for the geometric mean.
Hope this helps.
Which expression represents "4 times the sum of x and 7"
Answer:
4 (x + 7)
Step-by-step explanation:
Answer:
4(x+7)
Step-by-step explanation:
First, start with the terms x and 7, the expression calls for their sum so addition is the needed operation. Then, 4 times the sum means that 4 must be multiplied after x and 7 are added. So because of PEMDAS parentheses are needed around x+7. Therefore the expression is 4(x+7).
In the equation a+b=8, what is the value of a if b= -1
Answer:
9
Step-by-step explanation:
a + b = 8
a + (-1) = 8
a - (-1) = 8 - (-1)
a = 9
Evaluate 10q + 4p when q =2 and p= 3 hurry please !!!
Answer:
72
Step-by-step explanation:
10 times 2 Plus 4 times 3
Answer:
10q + 4 p
=10(2) + 4(3)
=20 + 12
= 32
If DH = (4x + 10) in. and HI = (2x − 4) in., then x =_______ , HI =_______ , and ID = _________
i think the answer will be 6.
Answer:
x = -7
HI = -18
ID = -36
Step-by-step explanation:
I'm guessing that H is the midpoint, so that would mean DH = HI.
So plug in.
4x + 10 = 2x - 4 (subtract 2x on both sides)
2x + 10 = -4 (subtract 10 on both sides)
2x = -14 (divide by 2 on both sides)
x = -7
PLUG IN TO GET ID because DH + HI = ID
4(-7) + 10 + 2(-7) - 4 (simplify)
-28 + 10 -14 - 4 (collect like terms)
-46 + 10 = -36
ID = -36
HI = 2(-7) -4 (simplify)
HI = -14 -4
HI = -18
Hope this helps!!
Enter the value of n =
Enter the value of m =
Enter the value of x =
Hello!
[tex]\large\boxed{\text{n = 5, m = 9, x = 512}}[/tex]
An exponential expression in form [tex]\sqrt[z]{x^{y} }[/tex] can be rewritten as [tex]x^{\frac{y}{z} }[/tex] where "z" is the root and "y" is the power. For example:
[tex]x^{\frac{2}{3} } = \sqrt[3]{x^{2} }[/tex].
We can apply this idea to this problem:
[tex](32)^{\frac{9}{5} } = (\sqrt[5]{32^{9} } )[/tex]
Therefore:
n = 5
m = 9
Simplify the expression:
[tex]\sqrt[5]{32^{9} } = (\sqrt[5]{32} )^{9}[/tex]
[tex]\sqrt[5]{32} = 2\\\\2^{9} = 512[/tex]
Therefore, the values of all letters are:
n = 5
m = 9
x = 512
Answer:
n=5
m=9
x=512
Step-by-step explanation:
I believe that guy is right.^
Simplify: -2 root -3 x root negative -18. What are the steps to get the answer?
Answer:
6 squareoot 6
Step-by-step explanation:
There will be 1,398 students attending the assembly. During the assembly, our principal is going to be passing out 4 pieces of paper to each student. How many pieces of paper will the principal pass out at the assembly? *
Answer:
5592 pieces of paper
Step-by-step explanation:
Simple multiplication
1398(4)= 5592
can someone help me with this please
Answer:
H' = (-4,-4)
I' = (-2,-4)
J' = (-2,-5)
Charlotte's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot. If Charlotte's curtain company wants to make 53 curtains, how many feet of fabric will she need?
Answer:
159 feet of fabric
Step-by-step explanation
We are told that 1 curtain is 36inches long
Since 1 foot = 12inches
x foot = 36inches
Cross multiply;
12 * x = 36
12x = 36
x = 36/12
x = 3
Hence 36inches is same as 3 feet
If Charlotte's curtain company wants to make 53 curtains, the length of 53 curtain is expressed as;
1 curtain = 3feet
53 curtain = y
y = 53 *3
y = 159 feet
Hence she will need 159 feet of fabric
A company sells two electronics packages. Package A contains 4 printers and 9 computers and costs $10,100 Package B contains 10 printers and 30 computers and costs $36,000
Answer:
y = $1433.33
x = -$700
Step-by-step explanation:
Since we are not asked what to find, we can as well find the price of each package.
Let x be the price of one printer
Let y be the price of one computer.
If Package A contains 4 printers and 9 computers and costs $10,100, this is expressed as;
4x + 9y = 10,100 ..... 1
If Package B contains 10 printers and 30 computers and costs $36,000, this is expressed as;
10x + 30y = 36,000
x + 3y = 3600 ...... 2
Solve equation 1 and 2 simultaneously
From 2; x = 3600 - 3y ..... 3
Substitute 3 into 1;
From 1;
4x + 9y = 10,000
4(3600-3y) + 9y = 10,100
14400 - 12y + 9y = 10100
14400 - 3y = 10100
-3y = 10100 - 14400
-3y = -4300
y = 4300/3
y = $1433.33
Substitute y = 1433.3 into 2;
From 2: x+3y = 3600
x + 3(1433.33) = 3600
x+4300 = 3600
x = 3600 - 4300
x = -$700
What’s 16.0+8.49
By showing work?
Answer:
24.49
Step-by-step explanation:
16.00
8.49
____
24.49
what is 2% = in simplest form
Answer:
1/50
Step-by-step explanation:
Hope this helped have a nice day!
There are three choices of jelly beans: sour apple, cherry, and blue
raspberry. The probability of getting a cherry is 1/4, blue raspberry is 2/5,
what is the probability of getting sour apple?
Answer:
7/20
Step-by-step explanation:
Total probability=1
Total probability of selecting either cherry or raspberry=¼+²/5=13/20
Probability of getting sour apple=1-13/20=7/20
Which are correct statements regarding proofs? Select three options.
Vx
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list statements and the reasons the statements are true.
O A flowchart proof gives a visual representation of the sequence of steps without justifications.
A flowchart proof is a visual way of describing the statements and reasons for a proof.
A two-column proof lists only the given information and what is to be proven.
Answer:
the answer is c hope u get it right
Step-by-step explanation:
A flowchart proton gives valuable represent state mental and resions
Answer:
The correct answers are:
A) In a paragraph proof, statements and their justifications are written in sentences in a logical order.
B) A two-column proof consists of a list statements and the reasons the statements are true.
D) A flowchart proof is a visual way of describing the statements and reasons for a proof.
Step-by-step explanation:
edge 2021 got it right