1.
ans= -1.8 and 3.2,
2.
ans= -5/4 and 2/3
3.
ans= 0,4 and 16
Hope it helps.
Answer:
1. 2/3 ,-5/4 , -1.8 , 3.2
2. -2 and 0
3. 4 and 16
Step-by-step explanation:
1.Rational numbers should have a numerator and a denominator. An integer should not be a decimal or a fraction.
In this case : 2/3 ,-5/4 , -1.8 , 3.2
2. Whole numbers are counting numbers. An integer can be non-negative, positive, negative or zero.
In this case : -2 , 0
3. Whole numbers remaining are ;
4 and 16
Need help don’t know what to do I’m confused
f(x)=x^4-5x^2-6x-10 is divided by x-3
Answer:
Step-by-step explanation:
STEP
1
:
10
Simplify ——
x
Equation at the end of step
1
:
10
((((x4)-(5•(x2)))-6x)-——)-3
x
STEP
2
:
Equation at the end of step
2
:
10
((((x4) - 5x2) - 6x) - ——) - 3
x
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using x as the denominator :
x4 - 5x2 - 6x (x4 - 5x2 - 6x) • x
x4 - 5x2 - 6x = ————————————— = ———————————————————
1 x
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
x4 - 5x2 - 6x = x • (x3 - 5x - 6)
Polynomial Roots Calculator :
4.2 Find roots (zeroes) of : F(x) = x3 - 5x - 6
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -6.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,6
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -2.00
-2 1 -2.00 -4.00
-3 1 -3.00 -18.00
-6 1 -6.00 -192.00
1 1 1.00 -10.00
2 1 2.00 -8.00
3 1 3.00 6.00
6 1 6.00 180.00
Polynomial Roots Calculator found no rational roots
Adding fractions that have a common denominator :
4.3 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • (x3-5x-6) • x - (10) x5 - 5x3 - 6x2 - 10
———————————————————————— = ———————————————————
x x
Equation at the end of step
4
:
(x5 - 5x3 - 6x2 - 10)
————————————————————— - 3
x
STEP
5
:
Rewriting the whole as an Equivalent Fraction
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x as the denominator :
3 3 • x
3 = — = —————
1 x
Checking for a perfect cube :
5.2 x5 - 5x3 - 6x2 - 10 is not a perfect cube
Trying to factor by pulling out :
5.3 Factoring: x5 - 5x3 - 6x2 - 10
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -6x2 - 10
Group 2: x5 - 5x3
Pull out from each group separately :
Group 1: (3x2 + 5) • (-2)
Group 2: (x2 - 5) • (x3)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
5.4 Find roots (zeroes) of : F(x) = x5 - 5x3 - 6x2 - 10
See theory in step 4.2
In this case, the Leading Coefficient is 1 and the Trailing Constant is -10.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,5 ,10
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -12.00
-2 1 -2.00 -26.00
-5 1 -5.00 -2660.00
-10 1 -10.00 -95610.00
1 1 1.00 -20.00
2 1 2.00 -42.00
5 1 5.00 2340.00
10 1 10.00 94390.00
Polynomial Roots Calculator found no rational roots
Adding fractions that have a common denominator :
5.5 Adding up the two equivalent fractions
(x5-5x3-6x2-10) - (3 • x) x5 - 5x3 - 6x2 - 3x - 10
————————————————————————— = ————————————————————————
x x
Polynomial Roots Calculator :
5.6 Find roots (zeroes) of : F(x) = x5 - 5x3 - 6x2 - 3x - 10
See theory in step 4.2
In this case, the Leading Coefficient is 1 and the Trailing Constant is -10.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,5 ,10
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -9.00
-2 1 -2.00 -20.00
-5 1 -5.00 -2645.00
-10 1 -10.00 -95580.00
1 1 1.00 -23.00
2 1 2.00 -48.00
5 1 5.00 2325.00
10 1 10.00 94360.00
Polynomial Roots Calculator found no rational roots
Final result :
x5 - 5x3 - 6x2 - 3x - 10
————————————————————————
x
Given center C and a point P on a circle, find its equation. C(-2, 7) and P(1, 11)
A. (x - 1)2 + (y - 11)2 = 5
B. (x + 2)2 + (y - 7)2 = 5
C. (x - 1)2 + (y - 11)2 = 25
D. (x + 2)2 + (y - 7)2 = 25
The equation of a circle with center at [tex]C(-2, 7)[/tex] and Point [tex]P(1, 11)[/tex] will be [tex](x+2)^2+(y-7)^2=25[/tex] .
What is equation of a circle ?
Equation of a circle is written in the form [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius.
We have,
Center at [tex]C(-2, 7)[/tex]
i.e. [tex]h=-2[/tex], [tex]k=7[/tex],
And
Point [tex]P(1, 11)[/tex]
i.e. [tex]x=1[/tex], [tex]y=11[/tex]
Now,
To determine Radius of the circle;
[tex]r^2=(x-h)^2+(y-k)^2[/tex]
[tex]r^2=(1-(-2))^2+(11-7)^2[/tex]
[tex]r=\sqrt{3^2+4^2} =\sqrt{25}[/tex]
[tex]r=5[/tex]
So, radius of the circle is [tex]5[/tex] .
Now,
Equation of a circle ;
[tex](x-h)^2+(y-k)^2=r^2[/tex]
[tex](x-(-2))^2+(y-7)^2=5^2[/tex]
[tex](x+2)^2+(y-7)^2=25[/tex]
So, the Equation of a circle is [tex](x+2)^2+(y-7)^2=25[/tex] .
Hence, we can say that the equation of a circle with center at [tex]C(-2, 7)[/tex] and Point [tex]P(1, 11)[/tex] is [tex](x+2)^2+(y-7)^2=25[/tex] .
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Subtract 1/2h -1 from 3/4 h -4
A.1/4h+3
B.-1/4+5
C.1/4h+5
D.-1/4h+5
Help plzzzz
Answer:
It would be option A.
Step-by-step explanation:
1/4h + 3
PLEASE HELP! I'LL GIVE BRAINLIEST!
Write an equation for the line (y = mx + b)
Write a sentence explaining a real-life situation that this line could represent. (Make sure you use the word ascending in your sentence.)
How many meals would be packed in 20 hours?
Given :
A graph of Total Meals Packed vs Time( in hours ).
To Find :
How many meals would be packed in 20 hours.
Solution :
First we will find the equation of line.
Now, the line passes through ( 0, 0 ) and ( 4, 500 ).
So, equation of line passing through ( 0, 0 ) and ( 4, 500 ) is :
[tex]y - 0 = \dfrac{500-0}{4-0}( x - 0 )\\\\y = 125x[/tex]
Now, putting the value of x = 20 hours in above equation, we get :
y = 125 × 20 meals
y = 2500 meals
Therefore, number of meals packed in 20 hours is 2500 meals.
Write the equation of an exponential function that has an initial
value of 150 and a growth rate of 4%, which occurs every 8
years.
Answer:
Step-by-step explanation:
100 POINTS!!!!!!! I WILL GIVE BRAINLIEST!
YOU MUST SHOW YOUR WORK OR I WILL NOT GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
In the morning, Jasmine biked to her grandma's house in 45 minutes. When she was biking back home in the evening it was foggy and she went 4 mph slower. The trip back took her 1 hour and 10 minutes. How far from her house does her grandmother live?
Answer:
8.4 milesStep-by-step explanation:
Let the speed in the morning be s, then in the evening it is s - 4
The distance is equal both directions:
45 min *s = 1 hr 10 min *(s - 4)Time in hours:
45*1/60*s = (1 + 10*1/60)(s - 4)3/4s = 7/6s - 7/6*4Multiply all terms by 12 to clear fraction:
9s = 14s - 565s = 56s = 56/5s= 11.2 mphThe distance is:
3/4*11.2 = 0.75*11.2 = 8.4 milesAnswer:
the answer is 8.4
Step-by-step explanation:
hope it helps. even I'm stuck so I went on brainly and the guy who helped you is a god ls mark the other person brainliest he deserves it with all the clean work and all
A box has length 5 feet, width 6 feet, and height 3 inches. Find the volume of the box in cubic feet and in cubic inches.
Answer:
90 inches
Step-by-step explanation:
The formula for volume is LxWxH so you just gotta do 5x6x3
which is 90.
An bakery chef wants to construct a pie graph to represent types of pies sold in November. He sold 700 pies, 350 of which were pumpkin ples The pumpkin ples represent how many degrees in the circle?
Answer:
[tex]180^{\circ}[/tex]
Step-by-step explanation:
Given that,
Total pies that sold = 700
Pumpkin pies = 350
We need to represent the degrees in the circle. It can be calculated as follows :
[tex]x=\dfrac{350}{700}\times 360\\\\x=180^{\circ}[/tex]
So, the pumpkin pies are represented by [tex]180^{\circ}[/tex].
tue/false
The Place valueof Thedigit 5 in 26,59,360 in Ten Thousand
Answer: True.
Step-by-step explanation:
Here we have the number:
26,59,360
To find the place value of the 5, we first need to count the number of decimals at the right of the 5 (until we reach the decimal point)
For this case, at the left of the 5 we have 4 decimals (9, 3, 6 and 0)
Then the place value of the 5 in that number will be 10^4
this is equal to:
10^4 = (10)*(10)*(10)*(10) = 10,000
This means that the place value of the 5 is then thousand.
Then the statement is true.
Subtract (2xy-2y) from the sum of (10x-2y) and (-3y)
-8x-3y
-8x+3y
8x-3y
8x+3y
Answer:
I think its C
Step-by-step explanation:
Step-by-step explanation:
8x-3y
Mr. Kazadi said that in his 2nd-period class, 23 out of 25 students passed the test. What percent of the students passed the test?
%
[tex]\text{Hello there!}[/tex]
To find a percentage, you will need to divide both numbers by each other. In this case, it would look similar to this:
[tex]\text{23 / 25 = ???}[/tex]
Once you divide the two numbers, you should end up with a result of [tex]0.92[/tex]
Now, we are going to move the decimal two spaces to the right to end up with the result:
[tex]\text{092.}[/tex]
Now, we are going to remove the [tex]0[/tex] as it is no longer required. Next, add a percentage symbol to the last number, and remove the decimal from the number.
Now, you should end up with something like this:
[tex]92\%[/tex]
[tex]\fbox{So your final answer is going to be 92\%}[/tex]
[tex]\rule{299}{1.5}[/tex]
4) Terry missed the sale on a $210 jacket. When he went to purchases it,
he jacket increased to a cost of $262.50 By what percent did the jacket
ncrease in price?
Answer:
The jacket increase by 25% in price.
Step-by-step explanation:
Given that:
Sale price of jacket = $210
New cost of jacket = $262.50
Change = New cost - Sale price
Change = 262.50 - 210 = $52.50
Percent increase = [tex]\frac{Change}{Sale\ price}*100[/tex]
Percent increase = [tex]\frac{52.50}{210}*100[/tex]
Percent increase = 0.25 * 100
Percent increase = 25%
Hence,
The jacket increase by 25% in price.
Which of these is equal to 35 (8 – 3)? A. (35 + 8) – (35 + 3) B. (35 × 8 ) + (35 × 3) C. (35 × 8) – (35 × 3) D. (35 × 11)
The equivalent of the expression, 35 (8 – 3) is (35 × 8 ) - (35 × 3). The answer is C.(35 × 8) – (35 × 3)
How to simplify an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Therefore, let's simplify the expression to the its' equivalent as follows:
Hence,
35 (8 – 3) = 35(5) = 175
Therefore, the equivalent is as follows:
35 (8 – 3)
Open the bracket by multiplying as follows;
35 (8 – 3) = (35 × 8 ) - (35 × 3)
The correct option is C. (35 × 8) – (35 × 3)
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Evaluate: ab – bc if a = 4, b = 3, and c = 2
ab - bc =
Answer:
6
Step-by-step explanation:
To evaluate the expression if a = 4, b = 3, and c = 2, substitute those values for the variables and solve. So, substitute 4 for a, 3 for b, and 2 for c, then simplify by the correct order of operations, PEMDAS:
[tex]ab - bc \\(4)(3)-(3)(2)\\= 12 - 6 \\= 6[/tex]
Therefore, the answer is 6.
Solve the system of equations.
= y = 7x + 43 y = 2x + 13
a. (-6, 1)
b. (6, -1)
c. (6, 1)
d. No solution
No solution Please select the best answer from the choices provided
Dewayne is thinking of a number n, and he wants his sister to guess the number. His first clue is that seven less than five times his number is between thirteen and eighteen. Write a compound inequality that shows the range of numbers that Dewayne might be thinking of.
Answer:4<n<5
Step-by-step explanation: 13<5n-7<18
20<5n<25
4<n<5
Inequalities help us to compare two unequal expressions.The compound inequality that shows the range of numbers that Dewayne might be thinking of is 8<(5n-7)<13.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given clue by Dewayne can be written in the form of inequality as shown below. Therefore, we can write,
Five times the number → 5nSeven less than five times a number → 5n-7Seven less than five times his number is between thirteen and eighteen → 8 < (5n - 7) <13.Hence, the compound inequality that shows the range of numbers that Dewayne might be thinking of is 8<(5n-7)<13.
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15.
Using the grid below. indicate what four points
could be the vertices of a square..
Need help quick first person gets that brain award
it takes 20 minutes to walk to school .it takes Andre 80% as long to walk to school.how long does it take Andrea to walk to school
Answer:
16min
Step-by-step explanation:
80%*20min=4/5*20min=16min
Answer:
16 minutes
Step-by-step explanation:
If it takes 20 minutes and it takes Andre 80% as long, then you multiply 20 by %80
Express the sum of 1.202 x 10^3 and 3.45 x 10^2 in scientific notation.
Answer:
4.1469 x 10^5
Step-by-step explanation:
multiply the coefficients and add the exponents
1.202 x 3.45 = 4.1469
10³ x 10² = 10^5
32% =
How to change percent to fraction in lowest term?
Answer:
8/25
Step-by-step explanation:
To change 32% to a fraction:
Divide 32% by 100%, obtaining 0.32
This 0.32 is equivalent to 32/100, which in turn is equivalent to 8/25.
Solve 3,200 divided by 10 using a area model
the monthly rents for five apartments advertised in a newspaper were $700, $700, $770, $1750, and $860. use the mean, median, and mode of the rents to answer the question. which value gives the average rent?
Answer:
Step-by-step explanation:
Need help right now!!! Due soon!
Answer:
Step-by-step explanation:
HAHAHAHAHA! NOT IN THE MOOD!
Carlos has a box containing bags of potato chips and pretzels. He told Sarah that the probability that she randomly selects a bag of potato chips is 1/2. Which of the following can be the contents of the box?
A: 5 bags of potato chips and 10 bags of pretzels
B: 4 bags of potato chips and 8 bags of pretzels
C: 8 bags of potato chips and 8 bags of pretzels
D: 10 bags of potato chips and 5 bags of pretzels
Answer:
it would be C
Step-by-step explanation:
because she had a 50/100 percent chance to get potato chips rather than pretzels.
A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 50 mg/L of the material present and after 2 hours it is observed that the material has lost 10 percent of its original concentration, find (a) an expression for the concentration of the material remaining at any time.
Answer:
[tex]Q(t) = 50e^{-0.0527t}[/tex]
Step-by-step explanation:
A certain radioactive material is known to decay at a rate proportional to the amount present.
This means that the situation can be described by the following differential equation:
[tex]\frac{dQ}{dt} = -rQ[/tex]
In which r is the decay rate.
Solving the differential equation by separation of variables, we have that:
[tex]\frac{dQ}{Q} = -r dt[/tex]
Integrating both sides:
[tex]\ln{Q} = -rt + K[/tex]
In which K is the integrative constant.
Applying the exponential to both sides, to remove the ln, we get:
[tex]Q(t) = Ke^{-rt}[/tex]
In which K is the initial amount present.
Initially there is 50 mg/L
This means that [tex]K = 50[/tex].
After 2 hours it is observed that the material has lost 10 percent of its original concentration
This means that [tex]Q(2) = 0.9K[/tex]. So
[tex]0.9K = Ke^{-2r}[/tex]
[tex]e^{-2r} = 0.9[/tex]
[tex]\ln{e^{-2r}} = \ln{0.9}[/tex]
[tex]-2r = \ln{0.9}[/tex]
[tex]r = -\frac{\ln{0.9}}{2}[/tex]
[tex]r = 0.0527[/tex]
So
[tex]Q(t) = Ke^{-rt}[/tex]
[tex]Q(t) = 50e^{-0.0527t}[/tex]
Suppose you obtain a 30-years fixed-rate mortgage for$100000 at a rate of 3%.
Answer:
yes
Step-by-step explanation:
In Omak the sales tax is 8.4%. What is the total cost including tax Aakel spent on a $48 purchase?
Answer:
$52.03
Step-by-step explanation:
1. Approach
To solve this problem, first one needs to calculate the sales tax, then one must add that to the amount spent on the purchase. To calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.
2. Find the tax
As states above; to calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.
a. convert percent to decimal
8.4 / 100 = 0.084
b. multiply the decimal by the amount spent
48 * 0.084 = 4.032
The amount spent on sales tax is, $4.032
3. Find the total amount spent
Now all one has to do is add the amount spent in tax by the amount spent on the purchase.
48 + 4.032 = 52.032
Since money is only spent rounded to the second decimal point, one has to round the number;
52.03
What are the coordinates of point P?
(-2, -4.5)
Second answer down
$2.79 markdown 35% what is the answer?
Answer:
about 1.81
Step-by-step explanation:
Answer:
1.81?
Step-by-step explanation: