Answer:
(4x - 1)^2 = 16x^ - 8x + 1. This is a perfect square trinomial.
Step-by-step explanation:
Take a look at B: 4a^2 - 10 a + 25. The square roots of 4a^2 and 25 are 2a and 5 respectively. Does (2a - 5)^2 come out to 4a^2 - 10a + 25? No.
Take a look at C: 25b^2 - 5b + 10 We know this is not a perfect square trinomial because 10 is not a square.
D: 16x^2 - 8x + 1: both 16x^2 and 1 are perfect squares, so we have:
(4x - 1)^2 = 16x^ - 8x + 1. This is a perfect square trinomial.
WILL MARK BRAINIEST!!! 25 POINTS!!! The box plots below show student grades on the most recent exam compared to overall grades in the class: Which of the following best describes the information about the medians? The class and exam medians are approximately equal. The class median is much higher than the exam median. The first quartile for class and exam is the same, but the exam has the lowest median. The low outlier on exams affects the median significantly.
Answer:
The class and exam medians are approximately equal
Step-by-step explanation:
Answer:
The class and exam medians are approximately equal.
Step-by-step explanation:
Since the line for the medians is at the same place on the number line, the medians will be the same.
what have i done wrong on question A & B
Answer:
You have forgotten to say whether it is am or pm
Step-by-step explanation:
Answer:
Question 1:
A) 12:45 pm
B) 7 : 30 pm
Question 2:
A) 20 15
B) 00 00
Barney and Betty break into a parking meter with $3.90 in dimes and quarters in it (legal disclaimer: don't do this) and agree that Barney will get all the dimes, and Betty will get all the quarters. (Barley isn't terribly bright) Barney ends up with four more coins than Betty. How much money did each get(
Answer:
Barney got 14 dimes and Betty got 10 quarters.
Step-by-step explanation:
Since there are only dimes and quarters in the parking meter, the total money must be equal to:
[tex]0.1*dimes + 0.25*quarters = 3.9[/tex]
Since Barney got all the dimes and he has four more coins than Betty, then the number of dimes is:
[tex]dimes = quarters + 4[/tex]
Applying the second expression on the first, we have:
[tex]0.1*(quarters + 4) + 0.25*quarters = 3.9\\0.1*quarters + 0.4 + 0.25*quarters = 3.9\\0.35*quarters = 3.9 - 0.4\\0.35*quarters = 3.5\\quarters = \frac{3.5}{0.35} = 10[/tex]
[tex]dimes = quarters + 4 = 10 + 4 = 14[/tex]
Barney got 14 dimes and Betty got 10 quarters.
Which of the following graphs would represent the solution to y + 2 > 5?
Answer:
y=4
Step-by-step explanation:
How do you find the radius when the circumference is given?
Step-by-step explanation:
r = c/2π
Kate begins solving the equation StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartFraction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 3) = StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartFraction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 4). Her work is correct and is shown below. StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartFraction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 3) = StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartFraction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 4) 4x – 2 = 3x – 2 When she adds 2 to both sides, the equation 4x = 3x results. Which solution will best illustrate what happens to x ? The equation has infinite solutions. The equation has one solution: x = 0. The equation has one solution: x = StartFraction 4 Over 3 EndFraction.. The equation has no solution.
Answer:
(B)The equation has one solution: x = 0.
Step-by-step explanation:
The equation Kate is solving is: [tex]\dfrac{2}{3} (6x-3)=\dfrac{1}{2}(6x-4)[/tex]
[tex]\dfrac{2(6x-3)}{3}=\dfrac{(6x-4)}{2}\\\dfrac{2*3(2x-1)}{3}=\dfrac{2(3x-2)}{2}\\4x-2=3x-2\\$Adding two both sides$\\4x=3x\\4x-3x=0\\x=0[/tex]
Therefore, the equation has one solution: x = 0.
Answer:
B The equation has one solution: x = 0.
Step-by-step explanation:
Which function is it
Answer:
The second answer
Step-by-step explanation:
The y is all by itself in ANY problem so the number all by itself is where the dot should be in this case 3
Bill buys and sells laptops. Last month Bill bought 50 laptops. He paid £400 for each laptop. He sold 40 of these laptops at a profit of 30% on each laptop and 10 of these laptops at a profit of 15% on each laptop. Bill's target last month was to sell all 50 laptops for a total of at least £25 000. Did Bill reach this target?
Answer:
Yes, in fact Bill exceeded his target by £2,200.
Step-by-step explanation:
Cost of the laptops = 50 x 400
= 20,000
Sold 40 at 30% profit
(40 x 400) x 1.30
= 20,800
Sold 10 at 15% profit
(15 x 400) x 1.15
= 6900
Total sales value
= 20800 + 6900 = 27,700
Bill's total sales are greater than his target, that is, £25,400>£25,000. So, we can say that Bill reached his target.
What are the different aspects of buying and selling goods?Cost Price(C.P.): Price at which the good is bought.Selling Price(S.P.): Price at which the good is sold.Profit: When S.P. > C.P., profit takes place. Profit = S.P. - C.P.Loss: When C.P. > S.P., loss takes place. Loss = C.P. - S.P.Note: Profit and loss are always calculated on C.P.
How do we solve the given question?Bill buys 50 laptops for £400 each.
∴ His C.P. of each laptop = £400.
He sells them in two parts,
Part 1:
He sells 40 laptops at 30% profit on each laptop.
∴ Profit on each laptop = 30% of C.P. = 30% of £400 = £(0.3*400) = £120
∴ S.P. of each laptop = C.P. + Profit = £400 + £120 = £520
Total sales 1 = Number of laptops * S.P. of each = 40*£520 = £20,800.
Part 2:
He sells 10 laptops at 15% profit on each laptop.
∴ Profit on each laptop = 15% of C.P. = 15% of £400 = £(0.15*400) = £60
∴ S.P. of each laptop = C.P. + Profit = £400 + £60 = £460
Total sales 2 = Number of laptops * S.P. of each = 10*£460 = £4,600.
Bill's total sales after both parts = Total sales 1 + Total sales 2
or, Bill's sales = £20,800 + £4,600 = £25,400.
Since Bill's total sales are greater than his target, that is, £25,400>£25,000. So, we can say that Bill reached his target.
Learn more about the different aspects of buying and selling goods at
https://brainly.com/question/19104371
#SPJ2
Brainiest
I Am Struggling With Two Questions :?
This is one of the two
Answer:
Sine of an angle =
opposite / hypotenuse
I this figure
AB is the opposite which is 12
BC is the hypotenuse which is 13
sine ∅ = 12/13
Therefore the sine ratio of the angle is
12/13
Hope this helps
if sinA= 3/4 find. (a) tanA (b):cosA. (c):sinA cosA+tanA/3+4cosA tanA
here is your answer. Please like it rate it and mark me as brainly.
The odds in favor of landing a spinner on blue is 2:7. What is the probability of the spinner NOT landing on blue?
Answer:
5:7
Step-by-step explanation:
Assuming there are other colors to be chosen from...
Simply calculate 1 - 2:7 to get the probability of the spinner not landing on blue
Who can help me get the answer??
Answer: 13,5 (first one)
Step-by-step explanation:According to given table for Relation g, we have following order pairs
(2,2)
(3,5)
(4,9)
(5,13)
Note: Each of first value in coordinate is x and each of the second value in the coordinate is y value.
We need to check the option, which gives an order pair of inverse relation of g.
In order to find inverse relation of a coordinate, we need to switch x and y values of a coordinate.
x value goes in y place and y value goes in x place.
So, the order pairs of inverse relation of given relation of g can be written as
(2,2) --> (2,2)
(3,5) --> (5,3)
(4,9) --> (9,4)
(5,13) --> (13,5).
In the given options, we have first order pair (13,5), which is the inverse of order pair (5,13).
Therefore, correct option is first option (13,5)
Let's say there are 2 different dice. On one die, you have a 66% chance of winning. On the other, you have a 33% chance of winning. What are the odds that you win on BOTH die?
Answer:
I think it is 49.5
Step-by-step explanation:
i say this because you add the 2 percentages together then you divide it by how many dice there are and in this case it is 2. so 66 plus 33 =99
and 99 divided by 2 is 49.5
f(x) = x^2 What is g(x)?
Answer:
Last option.
Step-by-step explanation:
The coordinates are (4 , 1)
x = 4
y = 1
Put x as 4, the output should be 1.
g(4) = (1/4(4))²
g(4) = 1²
g(4) = 1
plzzzzz help x_4x+4 = 0
Answer:
x = -1
Step-by-step explanation:
4x + 4 = 0
Subtract 4 on both sides.
4x = 0 - 4
4x = -4
Divide both sides by 4.
x = -4/4
x = -1
Answer:
So the value of x is -1
Step-by-step explanation:
4x+4=0
Subtracting 4 on both sides
4x+4-4=0-4
4x=-4
Dividing 4 on both sides
x=-4/4
x=-1
PLZZZZZZZZ HLPPPPPPPPPPPPP MEEEEEEEEEEEEE
Answer:
(x1,y1)=(−2,2)
(x2,y2)=(0,−2)
Use the slope formula:
m= y2−y1 /x2−x1
= −2−2 /0−−2
= −4 /2
=−2
Answer:
m=−2 This is the slope
So,the slope intercept form for 2 points is y-y1=m(x-x1) m=slope
y-y1=m(x=x1)
y-2=-2(x-(-2) ( - and - is +) So,the final equation is:
y-2=-2(x+2)
I hope this help you :)
SOMEONE HELP ASAP! IM STUCKKKKKK
Answer: B) increasing for x < -4/3 and x > 4/3
decreasing for -4/3 < x < 4/3
Step-by-step explanation:
Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.
Refer to the image below. Red is increasing. Blue is decreasing.
The vertices are at: x = -4/3 and x = 4/3
Which is a graph of y = 3x – 1?
Step-by-step explanation:
its the bottom left graph
here is the gauge for the fuel tank of a car.the tank holds 68 litres when the tank is full. the tank is 1/4 full of fuel work out how many more litres of fuel is needed to fill the tank
Answer:
51 liters of fuel is needed more to fill the tank
Step-by-step explanation:
When the gauge is full, the volume of fuel in the tank is 68 liters.
Now it is 1/4 full.
The amount of fuel it has when it is 1/4 full would be 1/4 * 68 = 17 liters
Now, we need to know how many more liters of fuel until the tank is full.
What we just need to do here is to subtract the volume when it is quarter full from the volume when it is full.
That would be 68 liters - 17 liters = 51 liters
What is the quotient of the complex numbers below?
(Urgent ❗️❗️)
Answer:
the answer is C
Answer:
The answer is C.
Step-by-step explanation:
We are given: [tex]\frac{3+2i}{1-5i}[/tex]. To find the quotient, simplify it. To do that, multiply by the conjugate of the denominator.
The conjugate of [tex]1-5i[/tex] is [tex]1+5i.[/tex]\
Thus, we have:
[tex]\frac{3+2i}{1-5i} \cdot\frac{1+5i}{1+5i} =\frac{3+15i+2i+10i^2}{1-25i^2}[/tex]
Recall that [tex]i^2[/tex] is simply -1.
Thus, we have:
[tex]\frac{3+17i-10}{1-(-25)}=\frac{-7+17i}{26}[/tex]
We can split this:
[tex]-\frac{7}{26}+\frac{17}{26}i[/tex]
A coat costs $47. George has enough money to pay the exact price without using coins. If George has just one $20 bill and no $2 bills, what is the smallest total number of bills he could have?
Answer:
The smallest number of bills he could have is 5 bills.
Step-by-step explanation:
He could have two 20's, one 5, and two 1's. 20+20+5+1+1=47
Hope this helped :)
Answer:
5 bills.
Step-by-step explanation:
Smallest number of bills he can have is 5.
$20+$20+$5+$1+$1=$47
A principal of $2500 is invested at 8.25% interest, compounded annually. How much will the investment be worth after 11 years? Use the calculator provided and round your answer to the nearest dollar.
Answer:
$5979Step-by-step explanation:
The compound interest expression is given as
[tex]A= P(1+r)^t[/tex]
Given data
Principal P= $2500
Rate r= 8.25%
Time t = 11 years
Substituting into the expression we can find the final amount A
[tex]A= 2500(1+0.0825)^1^1\\A= 2500(1.0825)^1^1\\\\A= 2500*2.3917\\A= 5979.25[/tex]
To the nearest dollar the final amount is $5979
Jonas runs a pet store that sells guinea pigs. He wants to ensure he has more than 1 pound of dry food for every five guinea pigs he has in the store. He currently has 8 pounds of dry food and wants to know how many guinea pigs can he have in the store. Write and solve an inequality to solve this problem. What is the solution to the inequality? x greater-than-or-equal-to 40 x less-than-or-equal-to 40 x greater-than-or-equal-to 8 x less-than-or-equal-to 8
Answer:
x < 40
Step-by-step explanation:
1 lbs for 5 pigs
The ratio is 1 lbs/ 5 pigs
Let x be the number of pigs
Take the ratio and multiply by the number of pigs, this has to be less than the amount of food in the stor
x * 1/5 < 8
Multiply each side by 5
x * 1/5 * 5 < 8*5
x < 40
Answer:
Option A on edge nuity
between which two numbers will you find |-2.56|
Answer:
|-2.56|=2.56
and obviously, it's between 3 and 2.
Sebastian earns 36$ in 3 hours. At this rate, how many dollars will he earn in 20 hours?
Answer:
36$ in 3 hours, so 12$ in 1 hour.
12$x 20 in 20 hours.
240 dollars in 20 hours.
Answer:
$ 240solution,
Hours Dollar
3 $36
20 x( suppose)
In case of Direct proportion,
[tex] \frac{3}{20} = \frac{36}{x} \\ or \: 3 \times x = 36 \times 20(cross \: multiplication) \\ or \: 3x = 720 \\ or \: x = \frac{720}{3} \\ x = 240[/tex]
hope this helps...
Good luck on your assignment..
Solve the linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.
j = –0.45
j = –0.25
j = 0.25
j = 0.45
Answer:
0.45
de 1st one isn't clear so its =0.5j-1
Answer:
A. 0.45
Step-by-step explanation:
find the zeros of quadratic polynomial X2 - 2x - 8
Answer:
The zeroes of a polynomial is the value of x when the polynomial is set to 0.
We can write x² - 2x - 8 = 0. This factors to (x - 4)(x + 2) = 0 and using Zero Product Property the solutions are x = 4, x = -2.
PLEASE HELP!!!!
Which characteristics will prove that triangle DEF is a right, scalene triangle?
A. DE, EF, and DF are all different lengths, and their slopes are the same.
B. DE, EF, and DF are all different lengths, and the slopes of DE and EF opposite reciprocals.
Options
segment DE, segment EF, and segment DF are all different lengths, and their slopes are the same. segment DE, segment EF, and segment DF are all different lengths, and the slopes of segment DE and segment EF opposite reciprocals. segment DE, segment EF, and segment DF are all the same length, and their slopes are the same. segment DE, segment EF, and segment DF are all the same length, and their slopes are opposite reciprocals.Answer:
(B) DE, EF, and DF are all different lengths, and the slopes of DE and EF opposite reciprocals.
Step-by-step explanation:
Given a triangle DEF
To prove that it is a right scalene triangle, we must show that two of its sides are perpendicular. This is done by showing that the slopes of two adjacent sides are opposite reciprocals.
In a scalene triangle, no side length is equal to another. Therefore, all the sides DE, EF, and DF are not equal in length.
The correct option is B.
Answer:
B. DE, EF, and DF are all different lengths, and the slopes of DE and EF opposite reciprocals.
Step-by-step explanation:
I took the test and the answer was B
attachment help asap
Answer:
D, C, A, B
Step-by-step explanation:
Find common factor:
60 is the common denominator
2/5=24/60
2/3=40/60
1/4=15/60
1/10=6/60
Answer:
A. 2/5 = 0.4
B. 2/3 = 0.66
C. 1/4 = 0.25
D. 1/10 = 0.1
Arranging them in the box we have
D , C , A , B
Since D is the smallest followed by C followed by A followed by B which is the largest
Hope this helps
How many solutions over the complex number system does this polynomial
have?
7x^3 – 33x^4 – 4x² + 3x + 52 = 0
2
Answer:
4 solutions counting any possible multiplicity
Step-by-step explanation:
Recall that if one considers the Complex Number System, a polynomial has as many solutions (including multiplicity) as its degree.
So in this case, where we are considering a polynomial of order 4 Notice that the term [tex]-\,33\,x^4[/tex], is in reality the leading term (term with the highest power of the variable) of this polynomial.
Therefore, in the Complex Number System, this polynomial would have 4 solutions.
