I need help with this math question.
x^3-8x^2<0
Answers
9514 1404 393
Answer:
(-∞ < x < 0) ∪ (0 < x < 8)
Step-by-step explanation:
Factoring the inequality gives you ...
x²(x -8) < 0
The x-intercepts of the curve described by the left-side expression are 0 and 8, values that make the factors zero. The intercept at x=0 has multiplicity 2, so the curve does not cross the x-axis there.
Since this is an odd-degree polynomial with a positive leading coefficient, its general shape is rising to the right. That means the left-side expression will be negative for x-values less than the first x-intercept, and for x-values between the x-intercepts.
The solution is ...
(-∞ < x < 0) ∪ (0 < x < 8)
Related Questions
7 - 3x = 2x + 7 – 5x
Step by step
Answers
Answer:
0
Step-by-step explanation:
7-7=2x-5x+3x
0=2x-5x+3x
pls help! I need the answer quickly!
Answers
========================================================
Explanation:
Let's say we had a circle with radius 5
It's area would be
A = pi*r^2
A = pi*5^2
A = 25pi
Now let's increase this by a factor of 4. We'll multiply the area by 4
new area = 4*(old area) = 4*(25pi) = 100pi
Now, we'll use this area value to find what the radius must be
A = pi*r^2
100pi = pi*r^2
100 = r^2
r^2 = 100
r = sqrt(100)
r = 10
The old radius r = 5 jumps to r = 10 so that the area quadruples.
We see that the radius has doubled. This must also mean the perimeter around the circle, aka circumference, must also have doubled.
C = 2*pi*r = 2*pi*5 = 10pi = old circumference
C = 2*pi*r = 2*pi*10 = 20pi = new circumference
This is directly because r has been doubled
-------------
Here's one way to think of why this works:
Consider a square of side lengths 3. It's area is 3*3 = 9.
If we double the sides, then we have a 6 by 6 square of area 6*6 = 36.
Note the jump from 9 to 36 is "times 4". This multiplier 4 is from each side doubling and we have 2*2 = 4.
If you were to triple each side, then the area multiplier would be 3*3 = 9
Multiplying each side by k leads to an area multiplier of k^2.
Help with this question.
Answers
9514 1404 393
Answer:
119°
Step-by-step explanation:
Angles DHG and LHI are vertical angles, so have the same measure.
angle LHI = 119°
A triangle has side lengths of (7n-2p) centimeters, (2n+4q) centimeters, and (q-5p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answers
Answer:
It is 9n - 7p + 5q
Step-by-step explanation:
Perimeter formular:
[tex]perimeter = (side + side + side)[/tex]
substitute:
[tex]p = \{(7n - 2p) + (2n + 4q) + (q - 5p) \} \\ [/tex]
group like terms together:
[tex] = (7n + 2n) + ( - 2p - 5p) + (4q + q) \\ = 9n - 7p + 5q[/tex]
Jason surveyed the student athletes at his school as they left the locker
rooms for practice. When selecting from a list of questions, he determined
that he could survey the athletes to determine which sport students in the
school most liked to watch. Which of the following statements is true?
A. Jason is not correct. Since the students are in a small age group, he should go to
a baseball game and survey the spectators there to find the most popular sport
to watch.
B. Jason is correct. This population is best for his question.
C. Jason is not correct. Since sports are played during different seasons, he would
have to conduct his survey over the entire school year to get more accurate
results.
D. Jason is not correct. Since there are other students in the school that watch
sports but do not play them, he should expand his population
Answers
Answer:
D
Step-by-step explanation:
I hope thats correct
What is the mode of
2,2,3,4,4,5,5,5,6,6
Answers
Answer:
7
mark me as brainliest please
Step-by-step explanation:
The pie chart below shows the Estrada family’s distribution of the monthly expenses for the last month. The Estrada family spent $366 on clothing last month.
What were the total expenses of the Estrada family last month?
Answers
Pie charts are used to show the relationship between data in a circle. The total expenses of the Estrada family last month are: $2287.5
Given that:
[tex]Clothing = \$366[/tex]
From the Pie chart, 13% of the total expenses were spent on clothing.
This means that
[tex]13\% \times Total = Clothing[/tex]
So, we have:
[tex]13\% \times Total = \$366[/tex]
Divide both sides by 13%
[tex]Total = \$366 \div 16\%[/tex]
[tex]Total = \$2287.5[/tex]
Hence, the total expenses are: $2287.5
Read more about pie charts at;
https://brainly.com/question/11433309
Clever.com
S
55°
W
Angle STV is a right angle.
The measure of angle STW is 55°.
The measure of angle WTV is xº.
What is the value of x?
to
Х
5
=
?
Answers
Answer:
x= 35
Step-by-step explanation:
STV°= WTV° + STW°
STV°=90
WTV°=x
STW°=55
subtitute in above:
90= x + 55
x= 90-55
x= 35
Which sentence describes a two-column proof?
A.
The left column contains a series of definitions, and the right column states theorems.
B.
The left column contains a series of deductions, and the right column states reasons.
C.
The left column contains a series of reasons, and the right column states deductions.
D.
The left column contains a series of postulates, and the right column states definitions.
Answers
please solve this question If you answer questions I will make you branilist.
Answers
Answer:
its very blury im sooooo sorry
Step-by-step explanation:
Let A be a 4 x 5 matrix and Let B be a 4 x 4 matrix. Suppose you were asked to multiply matrix A times matrix B. When multiplied the resulting solution of multiplying matrix A times matrix B will be a 4x 4 matrix.
a. True
b. False
Answers
Answer:
b. false
Step-by-step explanation:
when multiplying matrixes the number of columns of the first matrix must be equal as the number of rows of the second matrix, and since here matrix A has 4 columns but matrix B has 5 rows they can't be multiplied
I NEED HELP IM DOING A EXAM
Solve the equation and check your solution.
1. 3(x+6)=18+3x
2. -2(x-1)=2-2x
3. x+4=-2+x
4. -2(x+2)=5-2x
Answers
Answer:
1.0
2.0
3.2
4.3
Step-by-step explanation:
1.3x+18-3x+18
2.-2x+2-2+2x
3.x-x+4-2
4.-2x-4+5+2x
Answer:
3x + 18 = 18 + 3x-2x + 2 = 2 - 2x4 = -2 (the statement is false)-4 = 5 (the statement is false).......
Which point is the reflection of (2,-5) on the
y-axis?
A. (-2,5)
B. (5,-2)
C. (-5,2)
D. (-2,-5)
Answers
The answer is D. (-2,-5)
1. Which of the following is NOT equivalent to
"3 times the sixth power of 10?"
A 3 X 106
B 3,000,000
© 3 X 10 X 6
D 3 X 1,000,000
Answers
Answer: C
Step-by-step explanation:
This is 3 times 10 times 6, not 3 times the sixth power of 10.
Use the graph of f(x) to explain the relationship
between the real zeros of f(x) and its intercept(s).
4
A. f(x) has one real zero at --2 because the graph of the
function has an intercept at (0.-2).
B. f(x) has two real zeros at -4 and -2 because the
graph of the function has intercepts at (-4,0) and (0,
-2).
C. f(x) has no real zeros because the graph of the
function does not pass through (0,0).
D. f(x) has one real zero at 4 because the graph of the
function has an intercept at (-4, 0).
Answers
Answer:
D.f(x) has one real zero at 4 because the graph of the function has an intercept at (-4,0).
help plzzzzzzzzzzzzzzzzz
Answers
Answer:
the answer is 20
Step-by-step explanation:
gtttttfftuuu
find the distance between the two points rounding to the nearest tenth (4,0) and (0,9)
Answers
Answer:
[tex]\boxed {\boxed {\sf 9.8}}[/tex]
Step-by-step explanation:
We are asked to find the distance between two points. We will calculate the distance using the following formula;
[tex]d= \sqrt {(x_2-x_1)^2+(y_2-y_1)^2[/tex]
In this formula, (x₁ , y₁) and (x₂ , y₂) are the 2 points. We are given the points (4,0) and (0,9). If we match the value and the corresponding variable, we see that:
x₁= 4 y₁= 0 x₂= 0 y₂= 9Substitute the values into the formula.
[tex]{d= \sqrt {(0-4)^2+(9-0)^2[/tex]
Solve inside the parentheses.
(0-4)= -4 (9-0)= 9[tex]d=\sqrt{(-4)^2+ (9)^2[/tex]
Solve the exponents. Remember that squaring a number is the same as multiplying it by itself.
(-4)²= -4*-4= 16 (9)²= 9*9= 81[tex]d= \sqrt{(16)+(81)[/tex]
Add.
[tex]d= \sqrt{97[/tex]
Take the square root of the number.
[tex]d=9.848857802[/tex]
Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 8 in the tenth place.
[tex]d\approx 9.8[/tex]
The distance between the two points (4,0) and (0,9) is approximately 9.8
What is the answer of question 84?
Answers
Answer: Most likley F - 24
Step-by-step explanation:
Each student has a 1/4 chance of getting a job and only 4 ppl get picked.
Each student has 4 jobs each since the change each job. (kinda hard to explain)
4 jobs each student (6) =
= 4x6
= 24.
Answer= 24
Two angles are supplementary. The measure of the larger angle is 36 more than the measure of the smaller angle. Find their measures.
the answers are 72° and 108° but I need help showing my work
Answers
x = smaller angle
x+36 = larger angle, since its 36 degrees more than the smaller angle
The two angles x and x+36 must add to 180 if they are to be supplementary (aka form a straight line)
So this means we can say the following:
(smaller)+(larger) = 180
(x) + (x+36) = 180
2x+36 = 180
2x = 180-36
2x = 144
x = 144/2
x = 72 is the smaller angle
x+36 = 72+36 = 108 is the larger angle
As a check:
smaller+larger = 72+108 = 180
which shows they are supplementary and it confirms our answers
Step-by-step explanation:
let the smaller angle be x
then the measure of larger angle will be x+36
x+x+36=180°(being supplementary angle)
2x+36=180°
2x=180°-36
2x=144°
x=144°/2
x=72°
now,
the larger angle x+36 = 72+36=108°
PLEASE HELP IN A RUSH
What is the least common multiple (LCM) of 4 and 7?
Answers
Answer:
The least common multiple of 4 and 7 is 28
can someone who's really good at math help me with this?
for f(x) evaluate each of the following:
a. f(0)
b. f(6)
show all your work
Answers
Answer:
Step-by-step explanation:
a)
f(0) is just the function f(x) evaluated at 0, meaning we need to plug in 0 to the function.
What piece of this function should we plug 0 in? Well, because 0 is less than 5, plug it into the first piece.
so f(0) = 0 + 4 = 5
b)
By similar reasoning:
f(6) = 8
because 5 <= 6 < 7
If A = 6 i -8 j and B = - 16 i + 5 j , what is the magnitude of the vector C = 2 A - B ?
Answers
Answer:
Choice a. [tex]35[/tex]
Step-by-step explanation:
Note that [tex]i=(1,0)[/tex] and [tex]j=(0,1)[/tex], so
[tex]C=2A-B=2(6i-8j)-(-16i+5j)=12i-16j+16i-5j=28i-21j=(28,-21)[/tex]
Now the magnitude of a vector [tex](x,y)[/tex] is [tex]\sqrt{x^2+y^2}[/tex], thus the magnitude of [tex]C[/tex] is
[tex]\sqrt{28^2+(-21)^2}=\sqrt{784+441}=\sqrt{1225}=35[/tex]
-3x(x - 4) + 2 - (5 - x)
Answers
Answer:
[tex] - 3x(x - 4) + 2 - (5 - x) \\ = - 3 {x}^{2} + 12x + 2 - 5 + x \\ = - 3 {x}^{2} + 13x - 3[/tex]
I hope I helped you^_^
Jasmine bought 3500g of flour. She used 3/7 of it to bake some tarts and 700g of it to bake a cake. Find the ratio of the amount of flour used for baking the cake to the amount of flour used for baking the tarts to the remaining amount of flour.
Answers
Answer: 15:13
Step-by-step explanation: 7/7=3500
1/7=3500÷7=500500x3=15001500+700=22003500-2200=13001500:130015 : 13 (if there is a need to simplify the ratio)Please help
Solve the inequality.
6x - 2 = 9 or 4 + 3x > 15
X
19 밈
or x >
A
Answers
Answer:
x ≤ 11/6 or x > 11/3
Step-by-step explanation:
6x - 2 ≤ 9 or 4 + 3x > 15
6x ≤ 11 or 3x > 11
x ≤ 11/6 or x > 11/3
The given inequality is simplified as x≤11/6 or x>4.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, 6x-2≤9 or 4+3x>15.
Here, 6x-2≤9
Add 2 on both the sides of an inequality, we get
6x≤11
Divide 6 on both the sides of an inequality, we get
x≤11/6
Now, 4+3x>15
Subtract 4 on both the sides of an inequality, we get
3x>12
Divide 3 on both the sides of an inequality, we get
x>4
So, x≤11/6 or x>4
Therefore, the given inequality is simplified as x≤11/6 or x>4.
To learn more about the inequalities visit:
https://brainly.com/question/20383699.
#SPJ2
19 = -4 + 2/5x + 10
Step by step
Answers
Answer:
[tex]x = \frac{2}{65} [/tex]
Step-by-step explanation:
[tex]19 = - 4 + \frac{2}{5x} + 10[/tex]
[tex]19 = 6 + \frac{2}{5x} [/tex]
[tex] - \frac{2}{5x} = 6 - 19[/tex]
[tex] - \frac{2}{5x} = - 13[/tex]
[tex]2 = 65x[/tex]
[tex]x = \frac{2}{65} [/tex]
12n - 8- 2n + 10 - 4
How to simplify?
Answers
Answer:
10n-2
Step-by-step explanation:
12n - 8- 2n + 10 - 4 = (12n-2n)+(-8+10-4)
Simplify.
10n-2
Happy learning!
--Applepi101
Answer:
10n - 2
Step-by-step explanation:
12n-8-2n+10-4
Group all the n together and the other numbers together:
12n-2n-8+10-4
10n-2
On a number line is 7/3 located between 2 and 3?
Answers
Answer: Yes it is.
Step-by-step explanation:
Mixed to proper
7/3 = 2 1/3
6x + 2
7x +4
45
can you help me find x to this answer
Answers
Answer:
x=3
Step-by-step explanation:
(6x+2 )+(7x+4) =45
13x+6=45
13x=45–6
13x= 39
x=39/13
x=3
I hope I helped you^_^
Which type of imaginary line runs parallel to the Equator on a map?
A. latitude
B. longitude
C. meridian
D. polar
Answers
Answer:
A i dont know i think it is i dont know correct me if im wrong
Answer:
A. latitude
Step-by-step explanation:
The type of imaginary line that runs parallel to the Equator on a map:
A. latitude