Answer:
Monique made an error when writing the factored expression.
Step-by-step explanation:
The factorisation of the expression 4x+16xy is 4x(1+4y).
The given expression is 4x+16xy.
What is factorisation?In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
Now, 4x=2×2×x and 16xy=2×2×2×2×x×y
so, the GCF of terms 4x.
Now, 4x(4x/4x+16xy/4x)=4x(1+4y)
Therefore, the factorisation of the expression 4x+16xy is 4x(1+4y).
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find the length of the diagonal of a rectangle whose length is 15 cm and breadth is 8cm
Answer:
I hope it will help you......
please help find the correct solutions for the equations below 2x+20=-3x-25 x= -7x+14=4x- 19 x= 10x-3=-5x-18 x= answers 8 5 6 24 -1 -9 20 3 10 -2
Answer:
I think its 8
Step-by-step explanation:
Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
y = -2x + 4
6x + 3y =
a. -12
b. -4
c. 4
d. 12
Answer:
d. 12
Step-by-step explanation:
if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.
If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.
Answer: its d, 12
Step-by-step explanation:
using the frequency table. what fraction of students passed the test
Add the frequency for 16 and above :
5 + 7 + 7 = 19
19 passed
Total students ( add all frequencies) is 30
The fraction that passed is 19/30
intro to geometric sequences (help pls)
Answer:
Option B
Step-by-step explanation:
The formula for geometric sequence is given by:
[tex]a_{n} = a_{1}r^{n-1}[/tex]
Where,
[tex]a_{n}[/tex] = nth term of sequence
[tex]a_{1}[/tex] = 1st term of the sequence
[tex]r[/tex] = common ratio (ration of the second term to the first term)
So,
Here:
[tex]a_{1}[/tex] = 12
[tex]r[/tex] = 6/12 = 1/2
Plugging in the values of [tex]a_{1}[/tex] and r in the above formula:
=> [tex]a_{n} = 12 * (\frac{1}{2}) ^ {n-1}[/tex]
Suppose the area of a rectangle is represented by the expression 100 – 49. When the expression is fully factored, the factors represent the dimensions of the rectangle. What expressions represent the dimensions of the rectangle?
Answer:
a - b and a + b.
Step-by-step explanation:
Let's say the area of a rectangle is represented by the expression 100a^2 - 49b^2.
According to an algebraic formula, a^2 - b^2 = (a - b) * (a + b) = a^2 - ab + ab - b^2.
In this case, the square root of 100 is 10, and the square root of 49 is 7. That means that we have (10a - 7b) * (10a + 7b).
We can check that by doing... (10a - 7b)(10a + 7b) = 100a^2 - 70ab + 70ab - 49b^2 = 100a^2 - 49b^2.
Since it matches to the expression given, the expressions that represent the dimensions of the rectangle are (a - b) and (a + b).
Hope this helps!
Jill works as a lifeguard at a swimming pool. Last week, she worked for 32.65 hours. How many hours and minutes is this?
Answer:
32 hours and 65 minutes
Step-by-step explanation:
Answer:
The Answer is 33 hours and 5 minutes
Step-by-step explanation:
The reason being that 32.65 is 32 hours and 60 min is an hour so add that to the 32 it's 33hrs and the remaining 5 min
Express 35 millimetre in centimetre
Answer:
Hello!
___________________
Express 35 millimetre in centimetre
Millimetre = 35
Centimetre = 3.5
Step-by-step explanation: Divide the length value by 10.
Hope this helped you!
:D
Answer:
Hey! :)
35 millimetre = 3.5 centimetre
Good luck!
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Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x. x 1 2 3 4 5 6 7 f(x) One-fourth StartFraction 1 Over 16 EndFraction StartFraction 1 Over 64 EndFraction ? StartFraction 1 Over 1024 EndFraction StartFraction 1 Over 4096 EndFraction StartFraction 1 Over 16,384 EndFraction a. StartFraction 1 Over 256 EndFraction c. StartFraction 1 Over 84 EndFraction b. 256 d. StartFraction 1 Over 512 EndFraction Please select the best answer from the choices provided A B C D
Answer:c
Step-by-step explanation
Answer:
the Answer is A
Step-by-step explanation: took the test
PLEASE HELP!!
Suppose f(x)=x^2. What is the graph of g(x)=f(3x)
Answer:
B
Step-by-step explanation:
We begin with the given function [tex]f(x)=x^2[/tex]
To find [tex]g(x)[/tex], we can plug [tex]3x[/tex] into the function [tex]f(x)=x^2[/tex]
[tex]f(x)=x^2\\\\f(3x)=(3x)^2\\\\f(3x)=9x^2\\\\g(x)=9x^2[/tex]
Now that we know the equation of [tex]g(x)[/tex], we can find the graph that is equivalent to it.
The only graph that is even close to the function [tex]g(x)=9x^2[/tex] is B, so that is our answer.
Solve : a) (x-4)(x-2)=0
Answer: X= 3
Step-by-step explanation:
x-4*x-2=0
+4. +4
—————-
x*x-2=4
+2. +2
——————
x*x=6
2x=6
/2. /2
—————-
x=3
PLEASE HELP ME! Sally is paid a fixed amount of money to walk her neighbor's dog every day after school. When she is paid each month, she puts aside $20 to spend and saves the remaining amount. Write an expression that represents the amount Sally will save in 6 months if she earns m dollars each month.
Answer: 6($m - $20)
Step-by-step explanation:
From the question, we are told that Sally earns m dollars each month to walk her neighbor's dog every day after school and that when she is paid each month, she puts aside $20 to spend and saves the remaining amount. This means that Sally saves:
$m - $20.
The expression that represents the amount Sally will save in 6 months will be so multiplied by the amount saved every month. This will be:
= 6($m - $20)
Answer:
Ok first of all. You cant be in highschool with this question. because this is a 6th grade question. Second that person who gave you that asnwer is wrong because thats not even the answer now I advise you to listen for future refrences.
Step-by-step explanation:
she is paid $65 and she saves $20 so subtract those numbers then you get $45 so that means she saves $20 and had $45 to spend. that means 20 times 6(months) is... $120 so $120 is your answer. But, to be more professional "Sally has saved $120 in 6 (Months.)
please help ! As an estimation we are told £3 is €4. Convert £64.60 to euros. Give your answer rounded to 2 DP.
Answer:
€86.13
Step-by-step explanation:
The computation is shown below:
According to the given question
The estimation we told is
£3 = €4
£ reflects the sign of the pound and "€" reflects the sign of Euro.
Therefore we apply the estimation we get
£1 = €
Now multiply both sides by 73.50.
£64.60= €
£64.60 = €
Therefore, the estimated value of £64.60 is €86.13 (£64.60 × 4 ÷ 3)
Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduation trip to Canada’s Wonderland. The students will spend one full day at the park and return late that evening. The school has rented a bus for transportation. The entry fee into the park is $50 and the bus costs $600. Write an equation to relate the cost, C, in dollars to the number of student, s, who participate in this fun trip.
simplify by combining like terms: 7x + 6x + 9
Answer:
The like terms are 7x and 6x so the answer is 13x + 9.
Answer:
13x + 9 is the Answer
Step-by-step explanation:
When she subtracts 4 from both sides, 1/2x=-1.2x result.What is the value of x
Sean and katherine have been married for two years. They want to start a family soon. However, before having a child, they would like to secure their future and the future of their child. Which financial option will help them secure their family's future? A. Invest in in several real estate options B. Invest in high-risk shares that promise big returns C. Invest in a joint insurance and retirement plans D. Become entrepreneurs or invest in a profit-making business
Answer:
A joint insurance and retirement plan would generally be the most secure investment.
Step-by-step explanation:
Note: there may be divergence in the answers depending on personal opinion.
If they would like to secure their future, then they need secure investments, or low-risk investment. Generally, low risk investments will give lower probably returns, but also lower possible losses, if any at all.
A. real estate options, mean unknown return in unknown time-frame
B. high risk shares that promise big returns mean risky investment with high risk of losses
C. joint insurance and retirement plans mean usually known return, and close to zero risk (unless insurance company goes bankrupt)
D. Become entrepreneurs or invest in a business, is a good option, provided a judicious choice of the business would be made.
plz give me correct answer and no spammng,alphabets,links,website,sorry,i don't know,have a great day,plz appreciate my work then I will answer if done immediatly reported also only answer if you have done this before or just ask your parents that is your answer correct
what is the value of 4y when y= - 3
Answer:
-12
Step-by-step explanation:
We just plug in -3 and multiply.
4y
= 4(-3)
= -12
Hope this helped!
Please can someone help me on how to answer this question?
Answer:
Hello, I'll do it again caus eit got deleted for some reason!
m = 2g^2 + 5
Step-by-step explanation: Remove the radical by raising each side to the index of the radical.
Hope this helped you again!
Which interval for the graphed function has a local
minimum of 0?
O [-3, -2]
O (-2, 0]
O [1, 2]
O [2,4]
You're looking for "parabola" like shapes in which the lowest point has a y coordinate of y = 0. In this case, it would be the "parabola" portion on the right that has its lowest point at (3,0). The only interval that fits is [tex]2 \le x \le 4[/tex] which in interval notation is written as [2,4]. So this fits with choice D.
A grandfather wants to know the average height of all his grandchildren. He finds that the heights of his 9 grandchildren are given in inches by 63,71,60,59,74,60,60,75,58.
Answer:
The average height is 64.45 inches.
Step-by-step explanation:
Total number of children = 9 children
Heights in inches = 63,71,60,59,74,60,60,75,58.
The average height of grandchildren can be determined by adding all the given heights and then divide by the number of grandchildren.
Now if we add all the given heights of 9 children = 63 + 71 + 60 + 59 + 74 + 60 + 60 + 75 + 58 = 580
The average heights = 580 / 9 = 64.45 inches.
Answer:64.4
Step-by-step explanation:
Which of the following are not polynomials? Able to be more than one.
A. X-2 +X+1
B. x2/3 + v3x+1
c.2/3x-2+x+1
D. x3+0x2 + 2x + v2
E.2/x3+x+1/2
The terms that are not polynomial are x2/3 + v3x+1. The correct option is B.
What are polynomial terms?The portions of the equation that are often separated by "+" or "-" signs are known as polynomial terms. Thus, each term in a polynomial expression is a portion of the polynomial. For instance, there will be 3 terms in a polynomial like 2 x 2 + 5 + 4 for example.
x2/3 + √3x+1 is not a polynomial term because the power is in a fraction in the polynomial term, the power is not in a fraction.
Therefore, the correct option is B. x2/3 + v3x+1.
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Please help find the measure of the arc
Answer: 214
Step-by-step explanation:
The circumference of a circle measures 360 degrees, and since minor arc EF measures 146 degrees, this means arc EDF measures [tex]360-146=214^{\circ}[/tex]
arc EDF measures is 214°
What is arc?The arc is a portion of the circumference of a circle
The circumference of a circle measures 360°,
Since minor arc EF measures 146°,
arc EDF measures = 360°-146° = 214°
Hence, arc EDF measures is 214°
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The local high school hosted a hockey tournament. Tickets were sold before the tournament and at the door. When reviewing the ticket sales, the director of the tournament realized that there were 80 more tickets purchased before the tournament than at the door. A total of 820 tickets were sold. Which statements about ticket sales are true
Answer:
380 tickets were sold at the door and 440 tickets were sold before
Step-by-step explanation:
x = tickets sold before
y = tickets sold at the door
x + y = 820
x = y + 80
y + 80 + y = 820
-80 -80
2y = 740
y = 370
820 - 380 = 440
x = 440
PLSSSS HELP ASAPPPP Which is the graph of g(x) = [X +3]
Answer:
the last one
Step-by-step explanation:
the image of [0.1] is 1 using X and now it's X+3
so the image will be 4
Answer:
Last graph, 4, D
Step-by-step explanation:
g(x) = [X +3] is the graph we're looking for
g(x) = X would be a straight line with an equation of y=1x+0 and a slope of 1
So
g(x) = [X +3] would be adding 3 to the vertical asymptote of g(x)
or it would look like
y=1x+3
so the answer to this would be the line that has y = x+3
So the last one
Find the area of the triangle.
Answer:
80cm^2
Step-by-step explanation:
Answer:
80 ft^2
Step-by-step explanation:
To find the area of a triangle, multiply 1/2*base*height. When you plug in the numbers, the formula looks like this: 1/2*10*16. This will give you 80 ft^2
Wendy described four triangles as shown below: Triangle A: All sides have length 9 cm. Triangle B: Two sides have length 10 cm, and the included angle measures 60°. Triangle C: Two angles measure 50°. Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle? Triangle A Triangle B Triangle C Triangle D
Answer:
The first one
Step-by-step explanation:
because all of the sides have the same measurement.
Answer:
Triangle C
Step-by-step explanation:
Triangle A: All sides have length 9 cm.
By SSS this is a unique triangle.
Triangle B: Two sides have length 10 cm, and the included angle measures 60°.
By SAS this is a unique triangle.
Triangle C: Two angles measure 50°.
This gives us at most SS Similarity, so we do not have a unique triangle. The triangle sides can be any length. This is not unique.
Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle?
This gives us ASA, so we have a unique triangle.
Answer: Triangle C
2 Kendal bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She
decides to keep two boxes for herself. She brings 60 cookies to the party. Which equation
can be used to find the number of boxes, x, Kendal bought?
1) 2x - 12 - 60
3) 12x - 24 - 60
2) 12x-2-60
4) 24 - 12x - 60
Answer:
Hey there! The answer to your question will be below.
Step-by-step explanation:
The correct answer to your question is 12x - 24=60
So we know that 12x will be the number of cookies.
It says that she kept two boxes for herself, and than she took away 24 boxes which will leave us with 60.
Here is the work:
12 (x-2)= 60
12x-24=60
So the answer should be 12x -24 = 60
Hope this helps!
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Sammy has 34 pizzas. He gave 4 to his colleagues at work and the rest he brought home to deliver to three separate parties. How many pizzas did Sam bring to each party?
Answer:
Sammy delivered 10 pizzas to each party.
Step-by-step explanation:
34 pizzas - 4 pizzas
= 30 pizzas
30 pizzas/ 3 parties
= 10 pizzas per party
Answer:
Hey there!
Sammy delivered four to his colleagues. Thus, he has 34-4, or 30 pizzas left.
He split these between three parties, thus each party received 10 pizzas.
Hope this helps :)