Answer:
1000 is the answer that you are looking for
hope this helps\
Simplify by dividing 3/5 divide by (-4/9).
Answer:
a)-27/20
Step-by-step explanation:
3/5 ÷ (-4/9)
3/5 × (-9/4)
-27/20
Hope it will help
solve the polynomial equation:
x^3-7x^2-x+7=0
show your steps please
Answer:
x = {-1, 1, 7}Step-by-step explanation:
Solving for x
x^3 - 7x^2 - x + 7 = 0(x^3 - x) - (7x^2 - 7) = 0x(x^2 - 1) - 7(x^2 - 1) = 0(x - 7)(x^2 - 1) = 0(x - 7) (x + 1) (x - 1) = 0x - 7 = 0 ⇒ x = 7x + 1 = 0 ⇒ x = -1x - 1 = 0 ⇒ x = 1The solutions to the polynomial equation [tex]x^3 - 7x^2 - x + 7 = 0[/tex]are[tex]x = 1, x = 7,[/tex] and [tex]x = -1.[/tex]
The given polynomial is [tex]x^3 - 7x^2 - x + 7 = 0[/tex]
We can observe that the polynomial has a common factor of (x - 1).
By dividing the polynomial by (x - 1), we can simplify the equation:
[tex](x - 1)(x^2 - 6x - 7) = 0[/tex]
Now we have factored the polynomial equation as a product of two factors, [tex](x - 1)[/tex] and [tex](x^2 - 6x - 7).[/tex]
To find the solutions, we set each factor equal to zero and solve for x.
Setting [tex](x - 1) = 0[/tex], we get [tex]x = 1.[/tex]
Now, let's solve the quadratic factor [tex](x^2 - 6x - 7) = 0[/tex]
Using factoring or the quadratic formula, we find the roots of the quadratic equation:
[tex]x^2 - 6x - 7 = 0[/tex]
[tex](x - 7)(x + 1) = 0[/tex]
Setting each factor equal to zero:
[tex]x=7[/tex] and [tex]x=-1[/tex]
Therefore, the solutions to the polynomial equation [tex]x^3 - 7x^2 - x + 7 = 0[/tex]are[tex]x = 1, x = 7,[/tex] and [tex]x = -1.[/tex]
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Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+ 16x– 4 = ?
Answer:
Step-by-step explanation:
If you factor out the greatest common factor (4), your expression should be
4 (x^2 + 4x - 1)
Answer:
[tex]4(x^2+4x-1)[/tex]
Step-by-step explanation:
the square with a side length (x + 3) and an equilateral triangle with side lengths (3x-1) have the same perimeter what is the value of x?
Help please
Answer:
x = 3
Step-by-step explanation:
Side lenght of square = (x + 3)
Side length of equilateral triangle = (3x - 1)
It is Given that:
Perimeter of square = Perimeter of equilateral triangle
4 times side length of square = 3 times side length of equilateral triangle.
[tex] \therefore \: 4(x + 3) = 3(3x - 1) \\ \\ \therefore \: 4x + 12 = 9x - 3 \\ \\ \therefore \:12 + 3 = 9x - 4x \\ \\ \therefore \:15 = 5x \\ \\ \therefore \:x = \frac{15}{5} \\ \\ \huge \red{ \boxed{\therefore \:x = 3}}[/tex]
The remainder after diving x^4+3x^3-8x^2+5x-9 by x+5 is ____.
Use the polynomial remainder theorem. It says that a polynomial [tex]f(x)[/tex] has remainder [tex]f(c)[/tex] upon division by [tex]x-c[/tex].
Here we have
[tex]f(x)=x^4+3x^3-8x^2+5x-9[/tex]
and [tex]c=-5[/tex], so the remainder is
[tex]f(-5)=(-5)^4+3(-5)^3-8(-5)^2+5(-5)-9=\boxed{16}[/tex]
A box of LED light bulbs was tested to see how long the light bulbs last. The standard deviation of the light bulb lifetime data was five years. Which of the following is the best interpretation of this value?
Fifty percent of the light bulb lifetime data is below five years.
The difference between the longest and shortest light bulb lifetime was five years.
The lifetime of the light bulbs typically varies by about five years from the mean.
The middle half of the light bulb lifetime data has a range that is five years wide.
The difference between the longest and shortest light bulb lifetime was five years is correct interpretation so option (B) will be correct.
What is the standard deviation?The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.
In other meaning, standard deviation shows the deviation of the value of data from the mean.
Standard deviation is how much-given data is deviate from the mean of it.
So the difference between the longest to shortest gives an idea about this deviation.
Hence "The difference between the longest and shortest light bulb lifetime was five years is a correct interpretation".
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Planet Earth has a mass of 5.9726 × 10 24 kilograms. And although 70% of the Earth's surface is made of water, the water's mass is only 5 × 10 -4 percent of the Earth's total mass. Use scientific notation to estimate the mass of the planet's water. In your final answer, include all of your estimates and calculations.
Given parameters:
Mass of the earth = 5.9726 x 10²⁴kg
Mass of percent water on earth = 5 x 10⁻⁴% of the total mass of the earth
Unknown:
Mass of water on earth = ?
Solution
This is pretty straight forward;
Mass of water on earth = mass percent of water x mass of earth
Input the parameters and solve;
Mass of water on earth = [tex]\frac{5 x 10^{-4} }{100}[/tex] x 5.9726 x 10²⁴
= 5 x 10⁻⁴ x 10⁻² x 5.9726 x 10²⁴
= 5 x 5.9726 x 10⁻⁴⁺⁽⁻²⁾ ⁺²⁴
= 29.863 x 10¹⁸kg
or 2.9863 x 10¹⁹kg
Mass of water on earth is 2.9863 x 10¹⁹kg
A person invested $6,000 in an account growing at a rate allowing the money to
double every 11 years. How much money would be in the account after 19 years, to the
nearest dollar?
Answer:
P(19)=$19,852
To the nearest dollar.
Step-by-step explanation:
Exponential Growth
The natural growth of some magnitudes can be modeled by the equation:
[tex]P(t)=P_o(1+r)^t[/tex]
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
We are given the condition that an investment of Po=$6,000 in an account doubles every 11 years. The final value of the investment in t=11 is P(11)=$12,000.
Substituting into the general equation:
[tex]12,000=6,000(1+r)^{11}[/tex]
Dividing by 6,000 and swapping sides:
[tex](1+r)^{11}=2[/tex]
Taking the 11th root:
[tex]1+r=\sqrt[11]{2}[/tex]
[tex]1+r=1.065[/tex]
Substituting into the formula:
[tex]P(t)=6,000(1.065)^t[/tex]
Now we need to find the money in the account after t=19 years:
[tex]P(19)=$6,000(1.065)^{19}[/tex]
P(19)=$19,852
To the nearest dollar.
Find the width of a rectangular wall if the perimeter is 148 feet and the width is two more than seven times the length.
Answer:
Step-by-step explanation:
Perimeter of a rectangular wall P = 2L+2W
L is the length of the wall
W is the width
Given
P = 148feet
If the width is two more than seven times the length, this is represented as
W = 7L+2
Substitute W = 7L+2 into the formula above
P = 2L + 2(7L+2)
P = 2L +14L+4
P == 16L+4
148 = 16L+4
16L = 148-4
16L = 144
L = 144/16
L = 9
To get the width
W = 7L+2
W = 7(9)+2
W = 63+2
W = 65feet
Hence the width of the rectangular wall is 65feet
what is the area of the figure?
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
you can split it into two parts. One with 4 x 3 = 12 and the other with 2 x 6 = 12. then add them together and you get 24.
PLS HELP QUICK WILL GIVE BRAINLIEST!!!!
Answer:
what is the question you need done..?i cant see the question
Use the information given to answer the question
An artist prints T shirts to sell at a fair for $14 each
• The artist has some initial T shirts ready to sell and works for h hours more, printing a constant number of T-shirts every
hour
• The expression 14(12h + 30) represents the amount, in dollars, the artist will earn selling all the T-shirts.
Part A
How many T shirts did the artist have initially?
In a quadratic equation a^2+ bx + c = 0, why is it that the value of a cannot be equal to zero?
Answer:
Someone please help me because i have this question on my test someone please help us
Step-by-step explanation:
Baron, Gab, and Oliver can paint a room together in 2 hours, 1f Gab does the job alone. he can paint the same room in 5 hours. If Baron works alone, he can paint the room in hours. If Oliver works alone, how long would it take him to paint the room?
Answer:
11 hours
Step-by-step explanation:
I hope this help!
Test 4,580 for divisibility by 2, 3, 5, 9, and 10.
By 2 = 2290
By 3 = about 1526.6667 or you can just write 4580/3
By 5 = 916
By 9 = about 508.8889
By 10 = 458
What value of x is in the solution set of 2(3x-1) 24x 6? a-10 b-5 c-3 d 1
Answer:
-1
Step-by-step explanation:
Step 1: Write inequality
2(3x - 1) ≥ 4x - 6
Step 2: Solve for x
Distribute 2: 6x - 2 ≥ 4x - 6Subtract 4x on both sides: 2x - 2 ≥ -6Add 2 to both sides: 2x ≥ -4Divide both sides by 2: x ≥ -2Step 3: Find
-10 ≥ -2? No
-5 ≥ -2? No
-3 ≥ -2? No
-1 ≥ -2? Yes
find the area of each shaded region
An app developer projects that he will earn $20.00 for every 8 apps downloaded. Write
an equation to represent the proportional relationship between the number of apps and the total earnings
y = 2.5x
I hope this helps
The required equation is y=2.5x.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Earning of app developer for 8 apps = $20.00
Earning of app developer for 1 app = $2.5
Earning of app developer for x app = $2.5x
Assume, earning of app developer for x app is y
So the equation,
Earning of app developer y=2.5x
The required equation is y=2.5x.
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What TWO requirements does a graph need to meet to be considered proportional?
Answer:
straight line and it needs to go through the origin
11. Solve the following equation. –4 = seven over thirty-three times x (1 point) x = one hundred thirty two over seven x = Negative one hundred thirty two over seven x = Negative seven over one hundred thirty two x = Negative thirty three over twenty eight
Answer:
C. x = Negative seven over one hundred thirty two
Step-by-step explanation:
Solve the following equation.
–4 = seven over thirty-three times x
A. x = one hundred thirty two over seven
B. x = Negative one hundred thirty two over seven
C. x = Negative seven over one hundred thirty two
D. x = Negative thirty three over twenty eight
PLEASE HELP ME MY TEACHER IS MAKING ME REDO THIS AND I'M GONNA FAIL HER CLASS IF I DON'T FINISH THIS
Answer:
8 3/4 ?
Step-by-step explanation:
divide
srry if its not what your looking for
of equ
final equation is a true sta
A 4x - 3= 2x + 13
Answer:
8
Step-by-step explanation:
Step 1:
4x - 3 = 2x + 13 Equation
Step 2:
4x = 2x + 16 Add 3 on both sides
Step 3:
2x = 16 Subtract 2x on both sides
Step 4:
x = 16 ÷ 2 Divide
Answer:
x = 8
Hope This Helps :)
Answer:
x=8
Step-by-step explanation:
4X-3=2x+13
+3. +3
4X=2x+16
-2x. -2x
2x=16
/2. /2
x=8
SOMEBODY HELP PLS, WILL GIVE BRAINLIEST TO RIGHT ANSWER
Answer:
a. I, III, II
Step-by-step explanation:
To answer this question, lets take a look at I, II, and III.
First, lets take a look at I. It states that the m∠SQT = 180 by the definition of a straight angle. We can get that the m∠SQT = 180 just by looking at the image and by knowing our second given. So I just has to be below the second given.
Now, lets take a look at II. It states that m∠SQV + m∠VQT = 180 by the Substitution Property of Equality. We can find that m∠SQV + m∠VQT = 180 just by looking at the image along. But knowing that it is found by the Substitution Property of Equality, we can find that m∠SQV + m∠VQT = 180 was derived from the fact that m∠SQT = 180 and that m∠SQV + m∠VQT = m∠SQT, or I and III. So II was derived from I and III, and II should come after I and III.
Now lets look at III. It states that m∠SQV + m∠VQT = m∠SQT by the Angle Addition Postulate. Since III is found by the Angle Addition Postulate, we can find that III was derived from I, and III should come after I.
So knowing that II should come after III and I, and that III should come after I, we can find that the order should be I, III, II.
I hope you find my answer and explanation to be helpful. Happy studying.
Solve for x: [x] - 8 = -5
O x = -13 and x = -3
O x = 3 and x = -3.
O x = 3 and x = 13
O No solution
Henry is filling up his fish tank with water at a constant rate.
At 2 minutes the water level is 16 cm. At 8 minutes the water level is at 34 cm.
Explain how you figured out the water level at 0 minutes.
Answer:
It would have started to be filled at 10 cm
Step-by-step explanation:
FInd teh difference between 8 and 2 which is 6
Find the difference between 34 and 16 which is 18
Divide 18 by 6 which is 3
Subtract 2(3) = 6 by 16 which is 10
Using the linear system to solve the problem. Then the water level at 0 minutes is 10 cm.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. It is a combination of infinite points side by side.
Given
Henry is filling up his fish tank with water at a constant rate.
At 2 minutes the water level is 16 cm.
At 8 minutes the water level is at 34 cm.
We know that the linear equation
[tex]\rm y = mx +c[/tex]
Where
m be the rate of filling water in the tank.
c be the initial water in the tank.
y be the water level of the tank in cm.
x be the time in minutes.
At 2 minutes the water level is 16 cm. Then
[tex]\rm 16 = 2m + c[/tex] ...1
At 8 minutes the water level is at 34 cm. then
[tex]\rm 34 = 8m +c[/tex] ...2
From equations 1 and 2, we have
m = 3, and c = 10
Then the equation will be
[tex]\rm y = 3x + 10[/tex]
For x = 0, then y = 10
Thus, the water level at 0 minutes is 10 cm.
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Which product is negative?
0 -3.4.(-2) · (–7)
0 -3.5.(-6). 4
0 -4.(-6) · (-3) - (-5)
0 -7.(-3) · (–9). O
Answer:
The answer would be -3.5.(-6). 4
Step-by-step explanation:
The equation 2(4x + 1) = 4(2x + 5) has no solutions. Which of the following best explains why?
Answer:
See below
Step-by-step explanation:
[tex]2(4x + 1) = 4(2x + 5)[/tex]
[tex]8x + 2 =8x + 20[/tex]
[tex]\nexists x \in \mathbb{R} \text{ That makes the equality true}[/tex]
The equation has no solution because no matter what the value we plug for [tex]x[/tex] in the equation, it will not be true and will lead to a contradiction. This is the meaning of not having a solution.
Find the intercepts of the given line:
y=−6x+21
Answer:
x-intercept = 3.5y-intercept = 21Step-by-step explanation:
x-intercept is for y = 0
y-intercept is for x = 0
Substitute
For y = 0
-6x + 21 = 0 |subtract 21 from both sides
-6x = -21 |divdie both sides by (-6)
x = -21/(-6)
x = 21/6
x = 3.5
For x = 0
y = -6(0) + 21
y = 0 + 21
y = 21
Find the value of x so that f(x)=7.
Answer:
slope: 0
y intercept: (0, 7)
Step-by-step explanation:
1.
Solve -x + 9x = -4
Solution x= and x =
Answer:
x = - 1/2Step-by-step explanation:
-x + 9x = -4
8x = -4
x = -4/8
x = -1/2