Answer:
We need to find the zeros.
4x^4 + 8x^3 - 7x^2 -21x - 9
You're supposed to use synthetic division, assuming you're in algebra 2. I removed my calculus work.
x = -1 1/2, 1+sqrt5/2 , 1-sqrt5/2
x= -1.5000000119775176
4x 4 + 8x 3 - 7x 2 - 21x - 9= 0
x= -0.618033988749895
4x 4 + 8x 3 - 7x 2 - 21x - 9= 0
x= 1.618033988749895
4x 4 + 8x 3 - 7x 2 - 21x - 9= 0
I know the answer is 4. But I do t understand how the answer arrived.
The right answer for the value of x is 4
Let us consider the small triangle to be ABC and the larger triangle to be ADE
where angle A is the common angle of both the triangle
By triangle proportionality theorem,
If a line parallel to one side of a triangle intersects the other two sides, the two sides are proportionally divided.
Thus line BC is parallel to DE and hence divides AB and AD as well as
AC and AE proportionally
Thus Triangle ABC is Similar to triangle ADE by SAS
Thus,
AB/BD=BC/DE=AC/CE
Thus, using AB/BD=AC/CE
it is given that AB=10,BC=7x-3,AC=8,CE=28-8=20
AB/BD=AC/AE
10/7x-3=8/20
10x20/8=7x-3
25+3=7x
x=4
Therefore, the correct value of the given X is 4
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оп 6 от о
Select the correct answer.
Which expression is equivalent to the given expression?
-5y2 +50y - 105
(5y 35) (-y + 7)
(-5y + 21) (y - 5)
O-5(y - 3)(y-7)
-5(y + 21) (y + 1)
-
The value of the expression become 5(y-3) (y-7) = 0. Thus , The option C is correct.
According to the statement
We have to find that the value of the given expression.
So, For this purpose, we know that the
Algebraic expression definition, a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations
From the given information:
-5y^2 +50y - 105
Now to find the value of this
Rearrange the expression by taking the common values from this.
then
-5y^2 +50y - 105 = 0
-5y^2 +50y - 105 = 0
5(-y^2 +10y - 21) = 0
5(-y^2 +10y - 21) = 0
5(y^2 - 10y + 21) = 0
Now make factors of it then
5(y^2 - 7y - 3y + 21) = 0
5(y (y -7) -3(y-7)) = 0
5(y-3) (y-7) = 0
So, The value of the expression become 5(y-3) (y-7) = 0. Thus , The option C is correct.
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5x² - 20x + k = 0 has exactly one real solution, show that k=20
Answer:
x = 2
Step-by-step explanation:
5x^2 - 20x + 20 = 0
5 (x^2 - 4x + 4) = 0
x^2 - 4x + 4 = 0
x -2
x -2
(x - 2)(x - 2) = 0
-------------------------
x - 2 = 0
x = 2
-----------------------------
5x² - 20x + k = 0
k = - 5x² + 20x
k = - 5(2)² + 20(2)
k = -20 + 40
k = 20
Answer + Step-by-step explanation:
Consider the equation :
5x² - 20x + k = 0
∆ = b² − 4bc is the discriminant of the quadratic equation.
In our equation :
a = 5 ; b= -20 ; c = k
Then
∆ = (-20)² − 4×5×k
= 20² − 20k
= 20×(20 − k) (Factoring)
The equation 5x² - 20x + k = 0 has exactly one real solution
if and only if ∆ = 0.
Solving the equation ∆ = 0 :
∆ = 0
⇔ 20×(20 − k) = 0
⇔ (20 − k) = 0 (Zero product property)
⇔ k = 20
David wants to pack 574 cereal bars into bags of 10 and bags of 8. The number of bags of 8 is 2 more than the number of bags of 10. How many bags of 10 and 8 can David pack all the cereal bars into?
574 cereal bars will be placed in bags of 10 and bags of 8 by David. The number of bags of 8 is 33 and number of bags of 10 is 31.
Given that,
574 cereal bars will be placed in bags of 10 and bags of 8 by David. Two more bags of eight than bags of ten make up the total.
We have to find how many 10 and 8-bag sets of cereal bars can David fit.
Let us take,
x be number of bags of 8 and y be number of bags of 10.
So, we can write as
8x+10y=574→equation(1)
x=y+2→equation(2)
Taking the x value form equation(2) and putting in equation (1).
We get,
8(y+2)+10y=574
8y+16+10y=574
18y+16=574
18y=574-16
18y=558
y=558/18
y=31
We got y=31 substitute y value in equation(2).
x=31+2
x=33
Therefore, the number of bags of 8 is 33 and number of bags of 10 is 31.
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Tablet pc comparison provides a wide variety of information about tablet computers. The company’s website enables consumers to easily compare different tablets using factors such as cost, type of operating systems, display size, battery life, and cpu manufacturer. A sample of 10 tablet computers is shown.
A) There are a total of 8 elements in the data set. The elements can be determined simply by counting the total number of tablets in the data set.
B) There are a total of five variables in the data set. These are as follows-
1. Cost
2. Operating System
3. Display Size (inches)
4. Battery Life (hours)
5. CPU Manufacturer
C) Categorical Variables are generally the one that are descriptive in nature.
Here, the categorical variables are-
1. Operating System
2. CPU Manufacturer
Quantitative Variables are the numerical variables which are usually expressed in numbers, count or percentage.
Here, the quantitative variables are-
1. Cost
2. Display Size (Inches)
3. Battery Life (hours)
D) The nominal scale is used to assign the items which are divided into categories without having a specific order. The ratio scale has the property of identity and magnitude.
The type of scale is-
Cost ($) - Ratio Scale
Operating system - Nominal Scale
Display size (inches) - Ratio
Scale Battery life (hours) - Ratio Scale
CPU Manufacture - Nominal Scale
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The balance owed on your credit card triples from $800 to $2400 in 9 months. If the balance is growing linearly then it would take 34.9 months to reach $7000. If, on the other hand, the balance is growing exponentially, f(x)=800(1+0.13)x where x represents the number of months, what would the balance be after 34.9 months? Round your answer to the nearest cent.
The balance owed on the credit card if the growth is exponential according to the equation is; $57,528.
What is the balance owed on the credit card if the growth was exponential as opposed to linear?It follows from the task content that the initial amount owed was; $800.
On this simple note, since the equation given in the task content for the exponential growth from above is;
f(x)=800(1+0.13)^x
So therefore, when x = 34.9 months; we then have;
f(x)=800(1+0.13)^34.9
f(x) = 800(1.13)^34.9
f(x) = 800 × 71.19
f(x) = $57,528
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12. Eloise, Lucinda and Jennifer are given £150 by their aunt. They are told to share it in a 5:3:2 ratio. How much money will Lucinda receive?
Answer:
£45
Step-by-step explanation:
sum the parts of the ratio , 5 + 3 + 2 = 10 parts
divide the amount by 10 to find the value of one part of the ratio.
£150 ÷ 10 = £15 , then
3 parts = 3 × £15 = £45 ← amount Lucinda receives
2783 and 7283
The value of 2 in ____is ____ times
The value of 2 in ______
The value of 2 in 2783 is 10 times the value of 2 in 7238
What is place value?Place value of a number can be defined as the position of each digit in a number.
It is the value represented by a digit in a number on the basis of its position.
It is also known as system in which the position of a digit in a number determines its value.
Example:
The place value of 5 in 3500 is 500
The place value of 2 in 3240 is 200
Given the values:
2783 and 7283
The place value of 2 in 2783 is 2000
The place value of 2 in 7283 is 200
Find the quotient, we have:
= 2000/ 200
= 10
The value of 2 in 2783 is 10 times the value of 2 in 7238
Thus, the value of 2 in 2783 is 10 times the value of 2 in 7238
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In its second year of operation, a local internet provider's profits were $171,500. If this amount was 666% of the company's first-year profits, find the first-years profits
The first year profit of the local internet provider was $ 22,389.04.
What was the profit of a company in its second year of operation?
According to the statement, we find that the profit of the company in its second year of operation is 666 % greater than its profit in its previous year, that is, the profit in its second year of operation is 7.66 times the profit in its first year of operation. Then, the missing profit is found by using the following arithmetic expression:
x = 171,500 / 7.66
x = 22,389.04
The first year profit of the local internet provider was $ 22,389.04.
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A café that has an area of 350 square feet is being expanded to occupy an adjacent space that has an area of 150 square feet. Identify the diagram of the remodeled café in a coordinate plane
Answer:
The answer is the bottom right diagram.
Step-by-step explanation:
(1.28 x 10^5) + (1.13 x 10^3) in scientific notation
Answer:
10 ( 12913 ) or 12913 * 10^1
Step-by-step explanation:
(1.28 x 10^5) + (1.13 x 10^3)
--------------------------------------------
1.28 = 128/100 = 128/10^2
1.13 = 113/100 = 113/10^2
-------------------------------------------
(128/10^2 * 10^5) + (113/10^2 * 10^3) <---- 10^5/10^2 = 10^3
(128 * 10^3) + (113 * 10^1)
10^1 ( 128 * 10^2 + 113)
10^1 ( 12800 + 113)
10 ( 12913 )
The endpoint of a ray is located on a line. This figure shows the angles formed by the ray and the line.
(x-15)
Which equation can be used to determine the value of x?
O x-15=66
Ox+66= 180
O x-51-66
66°
Ox+51-180
The correct option is (D) x+51=180
The equation which can be used to determine the value of x is , x+51=180
What is an angle ?In the geometry, angle is defined as the geometry formed by the multiple rays. Or we can say that the angle is the figure formed by two rays which has same initial point. These rays are also known as the sides of an angle. A angle can have two rays.
Some common terms related to angle :
Endpoint : It is the point where the rays met to each other.Ray : Ray is the side or line segment on which angle is formed.Curve : It is a line but not straight i.e. a bended line.Tangent : A line which touches the surface of curve.In the given question:
as (x-15) and 66 are supplementary angles therefore their sum is 180
i.e. (x-15) + 66 = 180
now solve the equation further,
=> x + 51 = 180
Thus, the correct option is the last option.
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the product of −16 and the difference of u and v.
I don't know if u want this but ya :)
Solution:
Let f(x) = (x+3)^(1/3).
First, we have
lim_(x → -3) f(x) = (-3+3)^(1/3) = 0 = f(-3)
So f(x) is continuous at a = -3.
Next we have
lim_(h → 0) [f(-3+h) - f(-3)] / h
= lim_(h → 0) h^(1/3) / h
= lim_(h → 0) 1 / h^(2/3)
= infty
Since the limit does not exist, f(x) is not differentiable at a = -3.
Answer: D
A grocery store sells four different jars of peanut butter. Determine which is the best buy, based on the cost per unit. 16 ounces for $1.70 20 ounces for $1.90
26 ounces for $3.33 40 ounces for $4.64
5) Imagine that a family just secured a loan for their new home with the following terms:
Loan amount: $160,000 Interest rate: 7% Length of loan: 30 years
Regular Monthly payments: $1064.48 (that is “R” already calculated for you!)
The wife, a sharp former MATH 170 student, suggests that if they make payments of HALF their regular monthly payments every two weeks (instead of a full payment once per month), they would pay off the loan much more quickly and save A LOT of money overall. Find the total amount they would save if they did this.
Hints (follow these steps): Find the half payment (one half of R that’s given!!). If payments are every two weeks, what is n (how many two weeks periods are there in one year?). Use those terms (new R and n) and solve for time. Now find total payments in this case (Rnt), and compare to original loan’s total payments.
I need a answer for this question and it has to be step by step
Answer:
150 student now school gema plyar
Find the area of the shaded region 10cm and 85 degrees. Help please!
The area of the shaded region is equal to 425π / 18 square centimeters.
How to determine the area of a circular sectionThe picture indicates us that we must find the area of the shaded region, consisting in a circular section with a measure of central angle of 85° and a radius of 10 centimeters. The area (A), in square centimeters, can be found by using the following formula:
A = (α / 360) · π · r²
Where:
α - Measure of the central angle, in degrees.r - Radius of the circular section, in centimeters.If we know that α = 85° and r = 10 cm, then the area of the shaded region is:
A = (85 / 360) · π · 10²
A = 425π / 18 cm²
The area of the shaded region is equal to 425π / 18 square centimeters.
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Amir drove from Jerusalem to the lowest place on Earth, the Dead Sea.
His altitude relative to sea level (in meters) as a function of time (in minutes) is graphed.
What was Amir's altitude at the beginning of the drive?
The equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is: y=-12x+360.
What is Straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point.
First of all let's write the slope-intercept form of the equation of a line, which is:
y=mx+b
where m is the slope and b is y intercept.
So we just need to find m and b to solve this problem.
Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:
m=-12
Negative slope because Amir is descending. So:
y=-12x+b
To find b, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point (30,0
). Therefore, substituting this point into our equation:
y=-12x+b
0=12(30)+b
0=-360+b
b=360
Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:
y=-12x+360.
Therefore the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is: y=-12x+360.
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There are 245 computers in the computer lab. The class is split into groups. How many groups will there need to be to ensure that everyone is in a group?
What is the answer?
Answer:
245
Step-by-step explanation:
it almost nneed 245 character
Please guys help me please with this question please please please please
Answer:
x = 18
Step-by-step explanation:
Given:
160 total learners34 play soccer and rugby40 play soccer and hockey42 play hockey and rugby36 play soccer only72 play hockey8 play rugby only28 play none of these sportsx play all three sportsAs "x" learners play all three sports, the Venn diagram should have three overlapping circles labelled soccer (S), rugby (R) and hockey (H).
x play all three sports: Label the area that's in S, R and H with x.
8 play rugby only: Label the area that is R only with 8.
36 play soccer only: Label the area that is S only with 36.
28 play none of these sports: Place 28 outside the three circles.
34 play soccer and rugby: Place "34 - x" in the area that's in S and R.
40 play soccer and hockey: Place "40 - x" in the area that's in S and H.
42 play hockey and rugby: Place "42 - x" in the area that's in H and R.
72 play hockey
72 is the total for all the sections of H.
⇒ H = 72 - x - (40 - x) - (42 - x)
⇒ H = 72 - x - 40 + x - 42 + x
⇒ H = x - 10
Place "x - 10" in the area that is H only.
The total number of learners is 160.
Therefore, to find x, sum the areas of the Venn diagram and equal to 160:
⇒ 36 + 8 + 28 + 34 - x + x + 40 - x + 42 - x + x - 10 = 160
⇒ 36 + 8 + 28 + 34 + 40 + 42 - 10 - x + x - x - x + x = 160
⇒ 178 - x = 160
⇒ x = 178 - 160
⇒ x = 18
Finally, substitute x = 18 into the Venn diagram.
PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT
Answer:
Option 3
Step-by-step explanation:
When y is positive, there is always increase.
Eliminate options 1 and 2.When y is negative, there is always decrease.
Eliminate option 4.6. What will be the speed of the train if it takes 10 hours to cover the 7. A bus travels at a speed of 40 km/h for 25 minutes and then at a speed of 60 km/h for next 25 minutes. Find out the total distance covered by the bus.
the total distance covered by the bus is 41.67 km in 50 minutes.
For first 25 minutes:
Speed of the bus = 40 km / hr.
Time = 25 minutes
Distance = Speed × Time
Distance = 40 km / hr. × 25 / 60 hr.
Distance = 16.67 km
For the next 25 minutes:
Speed of the bus = 60 km / hr.
Time = 25 minutes
Distance = Speed × Time
Distance = 60 km / hr. × 25 / 60 hr.
Distance = 25 km
Total distance covered = 16.67 km + 25 km
Total distance covered = 41.67 km.
Therefore, we get that, the total distance covered by the bus is 41.67 km in 50 minutes.
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Please answer the question in the picture, I will mark brainliest
Answer:
This is missing an explanation
Step-by-step explanation:
In this paragraph, there is no explanation as to why the reader should brush their teeth. The quote starts off by saying "You can brush and floss your teeth", yet only goes on to explain the reasons as to why flossing reduces your chances of getting cavities, and never touches on anything more about brushing. Therefore, the answer you are looking for is the last one, "This is missing an explanation".
Find y, I just need the answer so no need to show work
Answer:
x = 23
y = 139
Step-by-step explanation:
3x + 2x-5 + 70 = 180
5x = 115
x = 115/5
x = 23
y = 180 - (2x-5)
y = 180 - 41
y = 139
Which expression is equivalent to (xy-5)2 for all values of x and y where the expression is defined?
Answer:
hi hhhhhhdhwjwheheheuhehegdhue
9.
5x + 2y = 7
4x + y = 8
Answer:
Point Form: (3,-4)
Equation Form: x=3 , y=-4
Step-by-step explanation:
This solution deals with linear equations with two unknowns.
PLEASE HELP Line Segment AD=11x+10.6. Find the length of AB and CD. Show all work
Answer:
AB=11.4
CD=24.4
Step-by-step explanation:
Since AD=11x+10.6, then AB+BC+CD = AD.
Hence,
2x+3+21+7x-5=11x+10.6
Combine like terms:
9x+19 = 11x+10.6
Subtract 9x on both sides:
19 = 2x+10.6
Subtract 10.6 on both sides:
2x=8.4
Divide by 2 on both sides:
x=4.2
Since AB=2x+3, AB=11.4
Since CD=7x-5, CD=24.4
3.1.1 How can you tell the difference between the debits and the credits in this bank statement?
3.1.2 List any two fixed debits and any two flexible debits for the month
3.1.3 Look at the balance column to work out the value of A, the opening balance before her salary was paid in
3.1.1
Answer:
Debits and credits are used to monitor incoming and outgoing money in your business account. In a simple system, a debit is money going out of the account, whereas a credit is money coming in. However, most businesses use a double-entry system for accounting. This can confuse inexperienced business owners, who see the same funds used as a credit in one area but a debit in the other.
Double-Entry Accounting
When you look at your business finances, there are two sides to every transaction. This means that the rent is one account with a balance due and the business checking is another account that pays the balance due. So the same money is flowing but is accounting for two items. The double-entry system creates a chart of accounts. These include items such as rent, vendors, utilities, payroll, and loans.
3.1.2
Fixed Debit or Fixed debt:
A fixed debt or installment loan is generally one in which a borrower makes regular payments, where the debt has a beginning date, an end date, a fixed interest rate, and a fixed monthly fee (most installment loans are paid monthly). In other words, they adhere to a set amortization schedule. The interest on these type of loans are generally not tax deductible like mortgage loans and therefore are considered consumer debt. While many fixed-rate mortgages are fixed debts we have separated them since fixed debts outside of mortgages are considered consumer debt.
Types of fixed debts:
Automobile loansLoans on Recreation Vehicles, Boats, Motorcycles, etc.Furniture loans (if set payment, not on a credit card)Appliance loansDebt Consolidation loansStudent LoansFlexible Debit Card :
The flexible Debit card is highly favorable and the most popular transaction account. With the Flexi Debit card linked to several Postbank Savings and Investment Products, the Flexi Debit card offers you Transactional flexibility and freedom.
One can deposit your salary into the account and withdraw the money as and when needed. You can also use it for shopping instead of carrying cash.
Any type of debit card is a flexible debit card
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What is the difference between the largest prime number less than 50 and the sma
than 10?
O 35
O 36
O 37
O 38
10. Alice bought 2.3
pounds of apples for $2.99
per pound. How much did
she spend on apples?
Based on a poll, among adults who regret getting tattoos, 27% say that they were too young when they got their tattoos. Assume that nine adults who regret getting tattoos are randomly selected, and find the indicated probability. Complete parts (a) through (d) below.
There is a 0.2073 = 20.73% chance that none of the adults that were chosen would state that they were underage when they got their first tattoo.
This is further explained below.
Find the probability that none of the selected adults say that they were too young to get tattoos.?Generally, the equation for Binomial probability distribution is mathematically given as
[tex]P(X=x)=C_{n, x} \cdot p^x \cdot(1-p)^{n-x}[/tex]
Therefore
P(X=0)
[tex]\begin{aligned}&P(X=x)=C_{n, x} \cdot p^x \cdot(1-p)^{n-x} \\&P(X=0)=C_{5,0} \cdot(0 \cdot 27)^0 \cdot(0.73)^5=0.2073\end{aligned}$$[/tex]
In conclusion, There is a 0.2073 = 20.73% chance that none of the adults that were chosen would state that they were underage when they got their first tattoo.
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