Answer:
1
Step-by-step explanation:
Given: A polynomial [tex]8x^{2} +4x-3[/tex] is divided by another polynomial [tex]2x-1[/tex]
To find: Remainder when [tex]8x^{2} +4x-3[/tex] is divided by [tex]2x-1[/tex]
Solution:
To find the remainder when [tex]8x^{2} +4x-3[/tex] is divided by [tex]2x-1[/tex]
First, equate [tex]2x-1[/tex] with 0.
Now, [tex]2x-1=0[/tex]
[tex]\implies2x=1[/tex]
[tex]\implies x=\frac{1}{2}[/tex]
Now, to find the remainder put [tex]x=\frac{1}{2}[/tex] in [tex]8x^{2} +4x-3[/tex]
So, we have
[tex]8\times(\frac{1}{2})^{2}+4(\frac{1}{2} )-3[/tex]
[tex]=8\times\frac{1}{4} +2-3[/tex]
[tex]=2+2-3[/tex]
[tex]=4-3[/tex]
[tex]=1[/tex]
Hence, the remainder is 1.
Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 square feet. Which statement about the amount of tiles is correct? Kerrie estimated correctly by rounding down. She has enough tile. The exact area is 104.5 square feet. Kerrie estimated correctly by rounding up. She has enough tile. The exact area is 104.5 square feet. Kerrie did not estimate correctly by rounding up. She does not have enough tile. The exact area is 104.5 square feet. Kerrie did not estimate correctly by rounding down. She does not have enough tile. The exact area is 104.5 square feet.
Kitchen = 11.3 * 9.25 = 104.525 square feet
Kerrie did not estimate correctly by rounding down. She does not have enough tile. The exact area is 104.5 square feet.
Kerrie did not estimate correctly by rounding down. She does not have enough tile. The exact area is 104.5 square feet.
What is an expression?
The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 square feet.
Kitchen = 11.3 x 9.25 = 104.525 square feet
Therefore, Kerrie did not estimate correctly by rounding down. She does not have enough tile. The exact area is 104.5 square feet.
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if the length of the rectangle is twice the width and the perimeter of the rectangle is 30 centimeters what is the length of the current width of the rectangle
Find the taylor polynomial of degree three for the function x^0.2 about the point a=7. (your answers should include the variable x when appropriate.)
4. The perimeter of a church window is 60 inches. If the window is in the shape of a regular pentagon, what is the length of each side of the window? A. 12 inches B. 6 inches C. 8 inches D. 10 inches
which is not a solution of the inequality 5 - 2x at least -3 ?
a.) 0
b.)2
c.)4
d.)5
Padraig is a financial advisor. He earned a salary of $80,000 last year and sold stocks for $5,000. Which of the following types of income did Padraig have?
I earned income
II passive income
III capital gains income
a.
I and II
b.
I and III
c.
II and III
d.
III
Answer:
The answer is b. I and III
Step-by-step explanation:
Great question, it is always good to ask away and get rid of any doubts that you may be having.
To Answer this question we need to first understand what each type of income is.
Earned Income refers to the an amount of money received from the act of providing goods or services. Such Income includes Salaries, Paychecks, Sub-contracting work etc.
Passive Income is a periodic inflow of cash received with little to no effort on the part of the beneficiary.
Capital Gains Income refers to the money made on selling a certain asset above the value of purchase.
Know that we have this information we can see that Padraig has two types of incomes. Both Earned Income from his salary and Capital Gains Income from the stocks that he sold. Therefore the answer is b. I and III
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
select the irrational number? A)√9 B)√12 C)√16 D)√20 E)√25 (there should be more than one answer)
(5h3−8h)+(−2h3−h2−2h)
Jean has $20 and is going shopping to buy 3 scarves and as many pairs of earrings as possible. How many pairs of earrings can she buy if scarves cost $2.55 each and earrings cost $2.99 a pair?
Give the value of x that makes this equation true.
(3)(-4)(x) = (3)(-4)
0
4
1
-3
If p is true and q is false, the p -> q is always, sometimes, never true.
When p is false and q is true, then p or q is always, sometimes, never true.
If p is true and ~ q is false, then p -> ~ q is always, sometimes, never false.
If p is true and q is true, then ~ p -> ~ q is always, sometimes, never true.
If p -> q is true and q is true, then p always, sometimes, never is
1. If p is true and q is false, the p -> q is never true.
2. When p is false and q is true, then p or q is always true.
3. If p is true and ~ q is false, then p -> ~ q is never false.
4. If p is true and q is true, then ~ p -> ~ q is always true.
5. If p -> q is true and q is true, then p is always true.
Further Explanation:
The logic gates are used here.
Here, the symbol -> is for implication. Implication p-> q means that if p is true then q must be true.
So let us look at all the questions one by one.
1. If p is true and q is false, the p -> q is always, sometimes, never true.
p -> q
true -> false
The true should imply true so the given statement will never be true.
2. When p is false and q is true, then p or q is always, sometimes, never true.
false or true
We know that in or gate even if one input is true, the whole output is true. So this statement will be always true given p is false and q is true.
3. If p is true and ~ q is false, then p -> ~ q is always, sometimes, never false.
This translates to:
true -> true
So it will never be false.
4. If p is true and q is true, then ~ p -> ~ q is always, sometimes, never true.
This translates to:
false -> false
This will always be true.
5. If p -> q is true and q is true, then p is always, sometimes, never true.
If p->q is true and q is true then p will always be true. "Implies to" states that in p->q, in order for q to be true p has to be true. So p will always be true.
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Answer:
Your answer is: Always true
Step-by-step explanation:
Select the property that allows the statement 10 = y to be written y = 10. Commutative - additionDistributive Associative - multiplication Symmetric Commutative - multiplication Associative - additionIdentity - addition
jessie uses 20 liters of gasoline to travel 200kilometers, how many liters of gasoline will he use on a trip of 700 kilometer?
Answer: He will use 70 liters of gasoline on a trip of 700 kilometer.
Step-by-step explanation:
Given : Jessie uses 20 liters of gasoline to travel 200 kilometers.
We assume that the rate of consumption of gasoline is contant.
By UNITARY METHOD, the amount of gasoline required for 1 kilometer distance = [tex]\dfrac{20}{200}=\dfrac{1}{10}[/tex] liter
Now, the amount of gasoline required for 700 kilometer distance = [tex]700\times\dfrac{1}{10}=70[/tex] liters
Hence, He will use 70 liters of gasoline on a trip of 700 kilometer.
To calculate how many liters of gasoline Jessie will use for a 700 km trip, the fuel efficiency is first determined to be 10 km/L from the given data. Using this information, it is found that Jessie will need 70 liters of gasoline for the 700 km trip.
Jessie uses 20 liters of gasoline to travel 200 kilometers. To determine how much gasoline Jessie will use on a trip of 700 kilometers, we first need to find the fuel efficiency of the vehicle. By dividing the distance traveled by the amount of gasoline used, we get the fuel consumption rate:
Fuel efficiency = Distance / Gasoline
Fuel efficiency = 200 km / 20 L
Fuel efficiency = 10 km/L
Now we know that the vehicle uses one liter of gasoline to travel 10 kilometers. To find out how many liters are needed for a 700 km trip, we apply the following:
Gasoline needed = Trip distance / Fuel efficiency
Gasoline needed = 700 km / (10 km/L)
Gasoline needed = 70 liters
Therefore, Jessie will use 70 liters of gasoline to travel 700 kilometers.
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The function graphed shows the total cost for a taxi cab ride for x miles.
Select from the drop-down menus to correctly identify the taxi cab ride information provided by the graph.
The slope is _____ . 5, 3, 2.5, or 0.2
The slope represents __________. the total cost of the taxi ride, the total number of miles traveled, the cost per mile traveled, or the initial cost of the ride
1. To find for the value of the slope, we need to have the graph. But you forgot to include the graph in your question. So I will just help you find for it.
In the graph, find for any two pairs of x and y. Then use the equation:
m = (y2 – y1) / (x2 – x1)
where m is the slope, y2 is the 2nd y, y1 is the 1st y, x2 is the x of the 2nd y, x1 is the x of the 1st y
2. Actually the slope m represents the:
the cost per mile traveled
Answer:
The correct answer to this the slope is 2.5. And the slope represents the cost per miles traveled
Step-by-step explanation:
I just took this test
A total of 645 tickets were sold for the school play. They were either adult tickets or student tickets. There were 55 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answer: 350 adult tickets
Step-by-step explanation:
number of adult tickets sold = x
number of student tickets sold = x-55
x-55+x=645
2x-55=645
2x=700
x=350
After 15 minutes a train has moved 9/2 miles towards its destination. How many miles per minute is the train moving
Suppose you put $500 into a bank account today. interest is paid annually and the annual interest rate is 8 percent. the future value of the $500 after 2 years is
What equation is equivalent to √x+11=15
A discount store marks up the merchandise it sells by 55% if the whole sale price of a particular item is $25 what should the retail price be set at
Mary lost 14 pounds, which is 10% of her starting weight. What was her original weight?
Find the point on the line y = 92x closest to the point (1, 0)
A triangle has sides of length 5 cm and 11 cm. What can you say about the length of the third side?
Final answer:
The length of the third side of the triangle must be greater than 6 cm and less than 16 cm, as per the triangle inequality theorem.
Explanation:
According to the triangle inequality theorem, the length of any side of a triangle must be less than the sum of the other two sides and greater than the difference between them. Therefore, the third side of a triangle with sides of length 5 cm and 11 cm must be longer than 6 cm (11 cm - 5 cm) and shorter than 16 cm (11 cm + 5 cm). To clarify, for any triangle with sides a, b, and c, where c is the longest side, the following must always be true: a + b > c and |a - b| < c.
Use the graph showing Jamie's account balance to answer the question what is the interest rate on Jamie's account?
A. 1.9%
B. 2.2%
C. 18.3%
D. 22.5%
Answer: 12 yers
Step-by-step explanation:
Which of the following is a unit of density?
Cubic meters
Square meters
Liters per cubic gram
Kilograms per cubic centimeter
The unit of density is:
Kilograms per cubic centimeter.
Step-by-step explanation:We know that the density of a substance is defined as the ratio of the mass of a substance to it's volume.
i.e.
[tex]\text{Density}=\dfrac{\text{Mass}}{\text{Volume}}[/tex]
Now, we know that the standard unit of the mass of a substance is: Kilograms(kg)
and the standard unit for a volume is: cubic centimeters(cm³)
Hence, we will get the unit for density as:
Kilograms per cubic centimeter
Find the value of 21 - 18 ÷ 3 · 2
Please help thank you.
For how many hours did edison's best light bulb stay lit?
4 gallons of paint cover 1,400 square feet. How much does 7 gallons of paint cover? (Solve with Porportion)
Larry mixed 15 grams of salt with 210 grams of a 5% salt solution in water. What is the percent of salt in his new solution?
Simplify 2(x - 4) + 7(x + 2).
9x - 6
9x - 4
9x + 6