Answer:
The zeros are 0, 4, 6.
The y-intercept is 0.
Step-by-step explanation:
f(x) = x^3 - 10x^2 + 24x
x^3 - 10x^2 + 24x = 0
x(x^2 - 10x + 24) = 0
x(x - 4)(x - 6) = 0
x = 0 or x - 4 = 0 or x - 6 = 0
x = 0 or x = 4 or x = 6
y-intercept:
Since x = 0 is a root, that means that the point (0, 0) is part of the function. That makes the y-intercept 0.
You can also solve for the y-intercept by letting x = 0 in the function and solving for f(0).
Let x = 0.
f(0) = 0^3 - 10(0^2) + 24(0)
f(0) = 0
y-intercept: 0
If you want to buy an item in a store that costs $36.50 and is on sale for 40% off, then how much would the item actually cost you after the discount? Round to the nearest cent.
Answer:
i think its 21.90
Step-by-step explanation:
i did the math
Find the Surface Area of the following figure:
16 ft
10 ft
7 ft
Answer:
1120
Step-by-step explanation:
solve using inverse operations:83 + q = 125; q=
Answer:
42
Step-by-step explanation:
subtract 83 from both sides geet q=42
In triangle ABC, ∠Ais a right angle and m∠B=45°. Fnd BC. Give EXACT answer. (Hint: Exact means the radical form.)
I need help with a few trig questions
solve the equation multiple choice
Answer:
x= {-29}
Step-by-step explanation:
.....................................
Solve the equation: 12(x + 8) = 11x - 5 What is the solution?
Answer:
We conclude that the solution is:
[tex]x = -101[/tex]Step-by-step explanation:
Given the equation
[tex]12\left(x\:+\:8\right)\:=\:11x\:-\:5[/tex]
Expand 12(x + 8): 12x + 96
[tex]12x+96=11x-5[/tex]
Subtract 96 from both sides
[tex]12x+96-96=11x-5-96[/tex]
Simplify
[tex]12x=11x-101[/tex]
Subtract 11x from both sides
[tex]12x-11x=11x-101-11x[/tex]
Simplify
[tex]x=-101[/tex]
Therefore, we conclude that the solution is:
[tex]x = -101[/tex]y=4x+3
2x-3y=21
SHOW YOUR WORK
Step-by-step explanation:
y = 4x+3
2x-3y = 21
2x -3(4x+3) = 21
2x -12x -9 = 21
-10x = 21 + 9
-10x = 30
x = -3
Find the positive value of x that makes the following equation true?
x^2 − 1 4 = 5x + 67 − 5x
Answer:
x=9
Step-by-step explanation:
x^2 = 5x + 81 -5x.
x^2 = 81
x=9
a metal pipe is 77 cm long the inner diameter of the cross section is 4 cm and the outer diameter is 4.8 cm find the (i) inner curved surface area (ii) outer curved surface area (iii) total surface area
Answer with full step by step explaination
Answer:
Step-by-step explanation:
outer area=
first need to find the circumference of outer diameter
= π×4.8
= 15.079644.... cm
to find the outer curved area you would then do
= 77×15.079644
(ii) =1161.13264 cm²
inner curve area
circumference= π×4
=12.5663706.... cm
77×12.5663706
(i) =967.610537 cm²
total surface area=
as the outer and inner curved areas are already found only the top and bottom surfaces need to be
= area of larger circle
=π×4.8²
=72.382294.... cm²
smaller circle
=π×4²
=50.2654824.... cm²
72.382...-50.265
=22.1168116 x 2
=44.2336232 cm²
total surface area
(iii)= 2172.9768 cm²
(round this to however many decimals you need)
I hope this is understandable and useful!
also how many marks is this for?
FInd the value of x
*giving brainliest*
Answer:
It's 8
Step-by-step explanation:
You can see that the second triangle is three times the size as the first so you divde the same side on the second triangle by 3
Help ASAP Glven the system of equations, what is the value of the system determinant?
2x+y=8
X-y=10
Find the domain and range of the function:
fx) = -√5-x-3
Domain:
Range:
DONE
Answer:
Domain: [tex]x\leq 2[/tex]
Range: (∞,0)
Step-by-step explanation:
solve the following equation
3(y – 2) + 2y = 9
Answer:
3( y - 2) + 2y =9
Step-by-step explanation:
It equals 3.
Answer:
y=3
Step-by-step explanation:
3(y-2)+2y=9
3y-6+2y=9
Isolate the variable y by transposing
3y+2y=6+9
5y=15
Simplify
y=3
Point A is located at (-1.4). Point B is located at (3,2). What is the slope of the line that passes through these two points (Make sure your slope is
reduced, if possible)?
6
Answer:
Y = -1/2x + 7/2
Step-by-step explanation:
slope = -1/2
Write down the inequality described by five is greater than the result of taking six away from x", and solve for x.
Answer:
x < 11
Step-by-step explanation:
Taking the problem piece by piece;
five is greater than
5 >
the result of taking six away from x
x - 6
Solve for x;
5 > x - 6
5 + 6 > x
11 > x
x < 11
three decimal numbers that when rounded to the nearest hundredths place will round to the number 6.75.
Answer:
6.7491, 6.7524, 6.7463
Step-by-step explanation:
Please help! I need an explanation also because I am currently having trouble
Answer:
E = 80 degrees
Step-by-step explanation:
7x + 3 + x + 15 + 74degrees = 180
8x + 92 = 180
8x = 180 - 92
8x = 88
x=11
m<E = 7x + 3
7(11) + 3
77 + 3
= 80
Find the measure of the indicated angle
Answer:
36°
Step-by-step explanation:
(6x)° + 54° = 90°
(complementary angles)
(6x)° = 90°- 54°
(6x)° = 36°
pls help ......................
Answer:
the answer will be
50
Step-by-step explanation:
5 x 10= 50
If you like vampire diaries plz tell me DAMON OR STEFAN......
Answer:
i like both of them
Step-by-step explanation:
Please awnser this and give me the right awnser
Triangular prism please help
Answer:
C
Step-by-step explanation:
X, Y and Z are partners in a firm in the ratio of 1/2 :1/3:1/6
Y retires from business and
X and Z purchase his share of profit in the ratio of 3:2. Find out new ratio
Answer:
6:2
Step-by-step explanation:
X share from old ratio is 1/2
Y share from old ratio is 1/3
Z share from old ratio is 1/6
Now, we are told Y retires and that X and Z purchase his shares.
Thus;
Amount X took from Y = 1/2 × 1/3 = 1/6
Amount Z took from Y = 1/6 × 1/3 = 1/18
Thus, new share of X is now; 1/6 + 1/2 = 2/3
New share of Z is now; 1/18 + 1/6 = 4/18 = 2/9
Ratio is now X:Z = 2/3 : 2/9 = 6:2
If 12x – 20 =
10x + 20 what is the value of 3x ?
Answer: 3x=60
Step-by-step explanation:
12x-20=10x+20
X=20
3(20)= 60
Which equation has the same solution as x^2+10x+9 = 4
1. How many groups of days are in 1 week?
Write a division equation to represent the question.
Type your equations in the box below.
Answer:
(14 groups)
14 divided by 7 = 2
Therefore 14 is your answer
Step-by-step explanation:
lol that's all I got
6 and -6 are at the same distance from ____ on the number line.
Answer:
0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
(NegativeA) + (PositiveA) = 0
Note for future reference:
(NegativeA) + (PositiveB) = (NegativeC)
(PositiveA) + (NegativeB) = (NegativeC)
(NegativeA) + (NegativeB) = (NegativeC)
(PositiveA) + (PositiveB) = (PositiveC)
Hope this helps!Find the diameter of the circle. please.
Answer:
4
Step-by-step explanation:
2*radius
Answer:4
Step-by-step explanation:
2*2=4
A fence is to be enclosed around a square park of side 15m. Atleast how many metres of fencing are needed?
Answer: 60 m
Step-by-step explanation:
The park is said to be square which means that all of its sides are equal.
If the fence is supposed to be put around the park, it is an indirect question asking for the perimeter of the square.
Perimeter of a square:
= 4 * length
= 4 * 15
= 60 m
What is the constant in the algebraic expression to represent the patter below??
15,11,7,3,-1,...
Answer:
The constant in the algebraic expression to represent the pattern below is 4.
Step-by-step explanation:
Imortant Tip:
An Arithmetic sequence has a constant difference 'd' which can be determined by computing the differences of all the adjacent termsGiven the pattern
[tex]15,11,7,3,-1,...[/tex]
computing the differences of all the adjacent terms
[tex]11-15=-4,\:\quad \:7-11=-4,\:\quad \:3-7=-4,\:\quad \:-1-3=-4[/tex]
The difference between all the adjacent terms of the pattern is the same which is
[tex]d=-4[/tex]
Hence, the given pattern represents the Arithmetic sequence.
Therefore, the constant in the algebraic expression to represent the pattern below is 4.