Answer:
check
Step-by-step explanation:
y intercept = (0,1)
x intercept = (1,0)
Answer:
Answer below hopes it helps
Step-by-step explanation:
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
What are the coordinates of point P?
(-2, -4.5)
Second answer down
NOTE: Angles not necessarily drawn to size . what is x?
Answer: 45
Step-by-step explanation: 160-115= 45 you do this because the angles are across the vertex from each other.
Answer:
X=45
Step-by-step explanation:
Method 1 ( the long one)
So AED and CEB are vertical angles, that means that the are the same and have the same value.
So 115 plus x equal 160.
115 + x = 160
from there we just have to subtract 115 from both sides to get x by itself.
115 + x = 160
-115 -115
_________________
x=45
Method 2 (short one
If you know that those are vertical angles, then just subtract 115 from 160 and there you go. You get 45.
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
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].
2x + 5y = -6
y-intercept: ( , )
x-intercept: ( , )
The graph plots four equations, A, B, C, and D: Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered pair negative 2, 20 and 8, 0. Line C joins ordered pair negative 7, negative 6 and 6, 20. Line D joins ordered pair 7, 20 and 0, negative 7. Which pair of equations has (0, 8) as its solution? (4 points) Equation A and Equation C Equation B and Equation C Equation C and Equation D Equation B and Equation D
Answer:
d is 6,6 and 4,is -94 and plus 8
Step-by-step explanation:
how to solve the volume formula for cylinders using pi
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . i think the answer is this
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]
A pair of shoes at a store costs $7.50. The total cost, in dollars is given by the function C(s) = 7.5s.
What is the cost of 4 pairs of shoes?
A
$35
B
$30
C
$25
D
$50
Select two ratios equivalent to the ratio of white socks to brown socks. pls help
Answer:
Step-by-step explanation:
You have to do total ratio
that will give you 20/15
Myra’s flower bed has three types of flowers. There are 7 lilies, 5 tulips, and 6 zinnias. What does the ratio 5 : 13 represent in this situation? Use a model to show your work. Explain your reasoning.
Answer:
m
Step-by-step explanation:
The ratio 5 : 13 in this situation represents number of Lilies to the number of tulips and zinnias in Myra's flower bed.
A ratio shows us the number of times a number contains another number.
Given that Myra’s flower bed has three types of flowers. There are 7 lilies, 5 tulips, and 6 zinnias. Therefore, the ratio of number of Lilies to the number of tulips and zinnias are,
Ratio = Number of Lilies : Number of tulips and zinnias
Ratio = 5 : (7+6)
Ratio = 5 : 13
Hence, the ratio 5 : 13 in this situation represents number of Lilies to the number of tulips and zinnias.
Learn more about Ratios here:
https://brainly.com/question/1504221
#SPJ2
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
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.
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
Suppose you obtain a 30-years fixed-rate mortgage for$100000 at a rate of 3%.
Answer:
yes
Step-by-step explanation:
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.
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.
Learn more about Inequality here:
https://brainly.com/question/19491153
#SPJ2
HELP ME PLEASE !! Last year, Eric biked n miles. This year, he biked 457 miles. Using n , write an expression for the total number of miles he biked.
====================================================
Explanation:
The variable n is a placeholder for a number. Specifically some positive number. Let's say that n = 50. This means Eric biked 50 miles last year.
That would mean in total he biked 50+457 = 507 miles overall over the two years.
Since we don't know what n is, we don't replace it with 50. So we just keep n as it is. We would keep it as n+457
Once, or if, we find out the value of n, then we can replace that letter with that number.
$7.00 × 20 = $140 in 40 hours
any helps !
Answer:
$280 in 40 hours!
(Just multiply)
Answer:
This is correct
Step-by-step explanation:
7.00 multiplied by 2 on both sides will give you an equivalent answer which is 140 and 40 hours. good job!
What is the GCF for the terms in the following expression?
[tex]15x + 30y - 10[/tex]
What is the factored expression?
hint: it will look something like this
[tex]4 (2x + 4y - 6)[/tex] this is not the answer!
Answer:
5 (3x + 6y - 2)
Step-by-step explanation:
GCF is 5. Sorry late response
Need help don’t know what to do I’m confused
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:
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.
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:
NEED FAST HURRY
A candy store sells caramels and milk chocolate by the pound the table below shows the total cost in dollars for a pound of each type of candy the store sells
Caramels: $9.28
Milk Chocolate: $12.80
How much more is the cost for 1 3/4 pounds of milk chocolate than the cost for 1 3/4 pounds of caramels?
Answer:
$6.16
Step-by-step explanation:
Answer:
Caramels=$16.24
Milk chocolate=$22.40
All together= $29.04
Step-by-step explanation:
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
Write an equation to represent the measures of the angle
Solve 3,200 divided by 10 using a area model
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)
learn more on expression here: https://brainly.com/question/111385
#SPJ6