20 points
Divide f(x)2x³+3x²-4x-5 by g(x)x+2 and find quotient and remainder
f(x) = 2x³+3x²-4x-5
let x + 2 = 0
x = 2
f(x) = 2(2)*3 + 3(2)*2 - 4(2) - 5
= 2 × 8 + 3 × 4 - 4 × 2 - 5
= 16 + 12 - 8 - 5
= 15
↪Then the reminder is 15
☆...hope this helps...☆
_♡_Mashi_♡_
Suppose a free medical test is given for a certain disease. The test is 90% reliable in the following sense: If a person has the disease there is a probability of 0,9 that the test will give a positive response; whereas, if a person does not have the disease, there is a probability of only 0,1 that the test will give a positive response. Data indicate that your chances of having the disease are only 1 in 10000. You decide to undergo the test and a few days later you learn that you had a positive response from the test. What is now the probability that you have the disease?
Your chances of having the disease:-
1/100000.0001So your current probability:-
0.0001(0.1)0.00001Answer:
Step-by-step explanation:
[tex]\red{ \rule{0pt}{900000pt}}[/tex]
[tex]\red{ \rule{500pt}{900000pt}}[/tex]
Please help me if it is correct I will mark you as brainliest.
ANSWER AS QUICKLY AS POSSIBLE!!!!!!!!
Answer:
I think X = 35 but I'm not sure if it's not right let me know
a ball is thrown vertically upward from the ground. it's distance in feet from the ground in t seconds is s=-16t+224t. after how many seconds will the ball be 768 feet from the ground? pls help!!!
Answer:
3.692seconds
Step-by-step explanation:
distance s is represented by the following equation s=-16t+224t
given the distance=768ft
replace s by 768 in the equation to find t (time):
768=-16t+224t
768=208t
t=768/208 =48/13 =3.692seconds
Hope this helps :)
An individual is selling tickets for a new movie that just came out. The first night the individual sold 45 Senior tickets and 92 Adult tickets. The second night, the individual sold 26 Senior tickets and 45 Adult tickets. Which night did the individual sell a higher ratio of Senior tickets to Adult tickets?
Step-by-step explanation:
the ratio senior to adult tickets on the first night :
45/92
the ratio on the second night :
26/45
which ratio is higher ? that means we have to determine which fraction is bigger.
the simplest and fastest way to compare them is to bring them to the same denominator (bottom part).
and the simplest way to do that is simply by multiplying the numerator and denominator of each fraction by the denominator of the other fraction :
45/92 × 45/45 = 2025 / 4140
26/45 × 92/92 = 2392 / 4140 (this is therefore bigger)
so, the ratio on the second night is higher.
Jace owns a small business selling bagels. He knows that in the last week 37 customers paid cash, 6 customers used a debit card, and 11 customers used a credit card. If next week, he is expecting 900 customers, about how many would you expect to pay with a credit card? Round your answer to the nearest whole number.
Answer:
268
Step-by-step explanation:
11/37=credit card
11/37=x/900
900 divided by 37=24.3
24.3 times 11=267.56
round it to 268
Test help picture below problem 19 21
Step-by-step explanation:
PROBLEM 19
(side 1)² + (side 2)² = (hypo)²
56² + (side 2)² = 61²
3136 + (side 2)² = 3721
(side 2)² = 3721 - 3136
(side 2)² = 585
side 2 = root 585
side 2 = 24.1867732449
side 2 = 24.2cm
E. Parallelogram
reason
opposite sides are parallel
MARK ME AS BRAINLISTSolve each of the quadratic equations.
PT. 1
3x = 0.5x2
A. x = -6 or x = 0
B. x = -4 or x = 3
C. x = -2
D. x = 1.5 x = 0 or x = 6
PT.2
0 = 5x2 - 2x + 6
A. x= 1±3i/2
B. x=1±√11/5
C. x=1±I√29/5
Answer:
the answer to pt 1 is D. x=1.5 x=0 or x=6
and the answer to part 2 is C. x=1±I√29/5
Step-by-step explanation:
1. The solution of this equation is x = 0 or x = 6 which is option D.
2. The solution of this equation is [tex]x = \dfrac{1 \pm i\sqrt{29}}{5}[/tex] which is option C.
Use the concept of quadratic equation defined as:
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations.
The quadratic equation has the following generic form:
ax² + bx + c = 0
1. The given quadratic equation is,
3x = 0.5x²
Rearranging it,
0.5x² - 3x = 0
Common out x,
x(0.5x - 3) = o
Then we have,
x = 0 or,
0.5x - 3 = 0
Add 3 on both sides,
0.5x = 3
Divide both sides by 0.5,
x = 3/0.5
x = 6
Hence the solution of this quadratic equation is,
x = 0 and x = 6 which is option D.
2. The given quadratic equation is:
0 = 5x² - 2x + 6
It can be written as,
5x² - 2x + 6 = 0
Since we know the quadrature formula for ax² + bx + c = 0 is,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Here we have,
a = 5
b = -2
c = 6
Substitute values into the formula,
[tex]x = \dfrac{2 \pm \sqrt{4 - 120}}{10}\\\\x = \dfrac{1 \pm i\sqrt{29}}{5} \text{ }\text{ \text{ }} \text{\text{ }\ since } \sqrt{-1} = i[/tex]
Hence, option C is correct.
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The complete question is:
Solve each of the quadratic equations.
PT. 1
3x = 0.5x²
A. x = -6 or x = 0
B. x = -4 or x = 3
C. x = -2 or x = 1.5
D. x = 0 or x = 6
PT.2
0 = 5x² - 2x + 6
A. [tex]x = \dfrac{1 \pm 3i}{5}[/tex]
B. [tex]x = \dfrac{1 \pm i\sqrt{11}}{5}[/tex]
C. [tex]x = \dfrac{1 \pm i\sqrt{29}}{5}[/tex]
d. A bag of fertiliser is made up of nutrients: nitrogen, phosphorus and potassium in the ratio 3:1:2. If the bag of fertiliser contains 14 kg of phosphorus, calculate how much nitrogen it contains. [3]
42
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Step-by-step explanation:[tex]14\times 3\div 1[/tex]
______________________________________________
Calculate
[tex]14\times 3[/tex]
______________________________________________
Calculate the product or quotient
[tex]42[/tex]
I hope this helps you
:)
Kevon Webster will bring hamburgers to grill. There are four patties per pound. He buys 28 pounds
How many patties can he make?
Answer:
112
Step-by-step explanation:
4x28=112
how long would it take an investment of $25000 to amount to $40 000 at a flat rate of 9.5% per annum?
Answer:
it will take approximately 6.32 annum(years) to reach $40000
Step-by-step explanation:
9.5% of $25000 = $2375
$40000 - $25000 = $15000 so you need to make an interest of $15000 overall to reach $40000
since you make $2375 each year therefore
$15000 ÷ $2375 will give you the number of years to reach $40000
hence 15000 ÷ 2375 = 6.315
approximately = 6.32 annum(years)
12y – 2x = 12
slope intercept form
Answer:
Step-by-step explanation:
12y = 2x + 12
y = 2/12x + 12/12
y = 1/6x + 1
The slope intercept form is y = (1/6)x + 1.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
12y - 2x = 12
The slope intercept form is y = mx + c.
So,
12y - 2x = 12
Add 2x on both sides.
12y = 12 + 2x
12y = 2x + 12
Divide both sides with 12.
y = (2/12)x + (12/12)
y = (1/6)x + 1
Thus,
The slope intercept form is y = (1/6)x + 1.
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Approximately how many
years would it take for an
investment of $1,000 to grow
to $1,500 with a simple
interest rate of 8%?
Answer:
6.25 years
(6 years 3 months)
Step-by-step explanation:
Simple interest formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = $1,500P = $1,000r = 8% = 0.08Substitute given values into the formula and solve for t:
⇒ 1500 = 1000(1 + 0.08t)
⇒ 1500 = 1000 + 80t
⇒ 500 = 80t
⇒ t = 6.25 years
2 + 8p - 3(12 - 5p) - (2 - 3p)(4)
[tex]2+8p-3(12-5p)-(2-3p)(4)\\\\=2+8p-36+15p-8+12p\\\\=35p-42[/tex]
Which comparison is correct?
0.29<0.279
1.32<1.319
0.420>0.42
3.544>3.455
Answer:
3.544>3.455
Step-by-step explanation:
This is because if you look at the numbers .5 is greater than (>) .4
Which expressions are equivalent. Circle your answer.
a. 10x - 6x
b. 7x + 3x
C. 12x + 2x - 10x
d. X - X + 2x
Answer: a) 10x-6x and c) 12x+2x-10x
Step-by-step explanation:
Lets start by simplifying all the expressions
a) 10x-6x=4x
b)7x+3x=10x
c)12x+2x-10x=14x-10x=4x
d)x-x+2x=2x
As you can see a and c both simplify to 4x meaning that is our answer.
Options A and C
Solution:In order to simplify these expressions, we should combine like terms:10x-6x=4x7x+3x=10x12x+2x-10x=14x-10x=4x (so expressions A & C are equivalent)x-x+2x=0x+2x=2xHope it helps.
Do comment if you have any query.
If you can buy 15 bags of potatoes for $20, then how many can you buy with $4?
Answer:
Step-by-step explanation:
15 bags for $20 can be represented with 15/20
so x bags for $4 can be represented with x/4
now if you proportion it out (ricochet), 4x15 is 60, 60 divided by 20 is 3, so you can buy 3 bags of potatoes with $4.
OR
you could do 15/20 is 0.75
0.75 times 4 is 3, so $4 can buy you 3 bags.
Answer:
Step-by-step explanation:
Remark
This is a proportion problem. It assumes that if you know 3 of the four parts of a 2 ratio proportion, you can solve for the 4th one.
Givens
number of bags = 15
Cost = 20
Different cost = 4
number of bags = ?
Formula
Number of bags / Cost = different number of bags/ New Cost
Solution
15/20 = x / 4 Multiply both sides by 4
15*4/20 = x / 4 * 4
60/20 = x
Answer x = 3
That is 4 dollars gets you 3 bags of potatoes
Consider the sequence below:
-4, 2, 8, 14, 20, …
What explicit expression can be used to find the term x of this sequence?
Answer:
n+6=x
Step-by-step explanation:
Each number is six more than the previous number. Adding six to the previous number, n, gets us the next term in the sequence, x.
60 = y-3 divided by 10
Answer:
y = 60.3
Step-by-step explanation:
When "b" = 6, solve for "a" using the following formula: a2 = 2b + 1
Answer:
sqrt(13)
Step-by-step explanation:
Assuming by a2 you mean a squared:
a^2=2b+1
a^2=2(6)+1
a^2=13
a=sqrt(13)
(if by a2 you mean 2*a then a=6.5)
Learn with an example
Felipe's lacrosse team will play in the Hickory Hills Tournament this weekend. They will
play 6 different teams, each with a 50% chance of winning. How likely is it that Felipe's
lacrosse team will win all 6 of their games?
Which simulation could be used to fairly represent the situation?
Flip a coin 6 times. Each time the coin lands on tails, it represents Felipe's
lacrosse team winning a game.
Create a deck of 6 cards, each labeled with a different number from 1 to 6.
Pick a card, then return it to the deck, 6 times. Each time a 6 appears, it
represents Felipe's lacrosse team winning a game.
Use a computer to randomly generate 6 numbers from 1 to 3. Each time 1 or
2 appears, it represents Felipe's lacrosse team
Answer:
50% chance that they will win each game..and there's 6 games... so 3!
Step-by-step explanation:
The sum of three number is 14. The sum of twice the first number, 4 times the second number, and 5 times the third number is 41. The difference between 7 times the first number and the second number is 51. Find the three
numbers.
Answer:
The numbers are 8 , 5 , 1
Step-by-step explanation:
Let the three numbers be x,y,z
Sum of three numbere is 14
⇒ x +y + z = 14 ---------------(I)
The sum of twice the first number, 4 times the second number, and 5 times the third number is 41.
⇒ 2x + 4y + 5z = 41 -----------(II)
The difference between 7 times the first number and the second number is 51.
⇒ 7x -y = 51 ---------------(III)
Multiply equation (I) by (-5) and then add this wiht equation (II). Thus 'z' will be eliminated.
(I)*(-5) -5x - 5y - 5z = -70
(II 2x + 4y + 5z = 41 {Now add}
-3x - y = - 29 ------------(IV)
Multiply (III by (-1) and then add it with equation (IV)
(III)*(-1) -7x + y = -51
(IV) -3x - y = -29 {Now add}
-10x = -80
x = -80 ÷ (-10)
x = 8
Plugin x = 8 in equation (III) and we obtain the value of y
7*8 - y = 51
56 - y = 51
-y = 51 - 56
-y = -5
y = -5 ÷ (-1)
y = 5
Plugin x =8 and y =5 in equaiton (I)
8 + 5 + z = 14
13 + z = 14
z = 14 - 13
z = 1
Each picture shows a figure and its reflection. Which picture shows the line of reflection?
Answer:
Bottom left
Step-by-step explanation:
The point of reflection is the bottom left one because when reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.
The picture that shows the line of reflection is the image in the bottom left. The correct option is C.
There are four pictures given in the image below A, B, C, and D.
In image A:
The line of reflection goes through the first image and therefore its reflection is not matched.
In image B:
The line of reflection B is available but there is no reflection image present.
In image C:
This picture shows a figure and its reflection.
In image D:
This picture shows a figure but this does not represent its reflection.
Therefore, the correct image is C.
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Louis wants to carpet the rectangular basement. The basement has an area of 874 square feet. The width of the basement is 2/3 it’s length. What is the length?
Answer:
582.6
Step-by-step explanation:
2/3 x 874 = 582.6
Nicole walked 10 blocks north from her house to her friend's house. After visiting, Nicole walked 10 blocks south back to her house. How far was Nicole from her starting place?
The Answer is D Nicole walked back to her house 10-10=0 So, the answer is D
Yes, I guess so.
Hope this helps!
Answer:
yea actually what if she turned?- but yea its 0 so D
Step-by-step explanation:
Nixon recycles 6 cans every week. Which expression shows the total number of cans he recycles in w weeks? (1 point)
O a
6+ w
.
b
6 + 5w
Oc
w
6
Od
бw
Answer:I don’t understand but I think it’s b
Step-by-step explanation:
What is a self portrait______
A. A portrait done by the artist of his or herself
B. An artistic photo of a group of people including yourself
C. A portrait of shelves
D. A selfie
option A
hope it helps...!!
Question is on the screenshot.
Does Function A or Function B have a greater rate of change over the Interval x=2 to x-47 Justify and explain your choice. (Do you like that they can't see the point (4,?) in the graph? If not you can change the interval to x-1 to x=3)
Answer:
Function BStep-by-step explanation:
Function Ax = 2 ⇒ y = - 4x = 4 ⇒ y = 6Rate of change
(6 - (-4))/(4 - 2) = 10/2 = 5Function Bx = 2 ⇒ y = 2² + 1 = 5x = 4 ⇒ y = 2⁴ + 1 = 17Rate of change
(17 - 5)/(4 - 2) = 12/2 = 6Since 6 > 5, the function B has greater rate of change in the given interval
Answer:
Function B
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given interval: 2 ≤ x ≤ 4
Therefore: a = 2 and b = 4
Function A
From inspection of the given table:
f(2) = -4f(4) = 6Substituting these values into the formula:
[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{6-(-4)}{2}=5[/tex]
Function B
Given function: [tex]y=2^x+1[/tex]
[tex]\implies f(2)=2^2+1=5[/tex]
[tex]\implies f(4)=2^4+1=17[/tex]
Substituting these values into the formula:
[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{17-5}{2}=6[/tex]
As 6 > 5, function B has a greater rate of change over the interval 2 ≤ x ≤ 4
Dianne has $0.95 in dimes and nickels . She has a total of 11 coins . How many of each kind does she have ?
Answer:
8 dimes and 3 nickels
Step-by-step explanation:
If we change $0.95 to $0.9 + $0.05, we get 9 dimes and 1 nickel. However, that is only 10 coins. We can then try 8 dimes and 3 nickels. When you add them up, they equal $0.95. Also, there are 11 coins in total. Therefore, 8 dimes and 3 nickels is the answer.
I hope this helps and please mark me as brainliest!