expand and simplify (6x-2)^2
Answer:
[tex]\sf 36x^2 -24x +4[/tex]
solving step wise:
[tex]\sf (6x-2)^2[/tex]
[tex]\sf (6x-2)(6x-2)[/tex]
[tex]\sf 36x^2 -12x -12x +4[/tex]
[tex]\sf 36x^2 -24x +4[/tex]
or
[tex]\sf (6x-2)^2[/tex]
[tex]\sf (6x)^2 +2*6x*-2+(-2)^2[/tex]
[tex]36x^2 -24x +4[/tex]
Answer:
36x²-24x+4
Step-by-step explanation:
6x-2² 6x-2 6x-2
Use the picture to create a ratio between the objects.
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The ratio of the number of footballs to the number of baseballs is y
the ratio of the number of baseballs to the number of footballs is
Answer:Blue
Step-by-step explanation:
What is the difference in length between the longest meteor and the shortest meteor?
1 5/8
You need to subtract 2/8 from 1 7/8. The numbers are already common denominators, so it's much easier to subtract.
1 7/8-2/8
=1 5/8
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
I think 87.2% is the correct answer.
I think it will help you
helpp please and explanation its so hard
Answer:
No
Step-by-step explanation:
Because
14.99 + 1.50 = 16.49
16.49 + 6% = 17.4794
17.4794 + 20% = 20.97528
Now if you round 20.97528
It becomes 20.98
I hope this is correct!
Please mark me Brainliest!
A bond has a $12,000 face value, a 9-year maturity, and a 3.1% coupon. Find the total of the interest payments paid to the bondholder.
Answer:
$15348
Step-by-step explanation:
i = prt is the simple interest equation
i = 12,000(0.031) = 372
i = 372*9 = 3348
12000+3348 = $15348
Answer:
Step-by-step explanation:
I=PRT
I=12,000(3.1%)
I=12,000(0.031)=372
I=372*9=3348
The total interest paid is $3,348.
help pls, will mark brainliest
Here , we are provided with a table which shows 5 consecutive terms of an arithmetic sequence . But before solving further , let's recall that ;
The n'th term of a Arithmetic Sequence let's say it be [tex]{\sf T_n}[/tex] is given by ;
[tex]{\boxed{\bf T_{n}=T_{1}+(n-1)d}}[/tex]Where , d is the common difference
Now , here we are given with ;
[tex]{\quad \qquad \sf \blacktriangleright \blacktriangleright \blacktriangleright T_{1}=8 \: and \: T_{5}=-4}[/tex]
We have to find the 2nd , 3rd and 4th term respectively ,
Now , by using the above formula , 5th term can be written as ;
[tex]{: \implies \quad \sf T_{1}+(5-1)d=T_{5}}[/tex]
Putting the values and transposing 1st term to RHS , we have ;
[tex]{: \implies \quad \sf 4d = -4-8}[/tex]
[tex]{: \implies \quad \sf d=-\dfrac{12}{4}}[/tex]
[tex]{: \implies \quad \sf d=-3}[/tex]
Now , as we got the common difference , so we can find out the missing terms now ;
[tex]{: \implies \quad \sf T_{2}= T_{1}+(2-1)d}[/tex]
[tex]{: \implies \quad \sf T_{2}= 8 +d}[/tex]
[tex]{: \implies \quad \sf T_{2}= 8-3}[/tex]
[tex]{: \implies \quad \bf \therefore \: T_{2}= 5}[/tex]
Now
[tex]{: \implies \quad \sf T_{3}= T_{1}+(3-1)d}[/tex]
[tex]{: \implies \quad \sf T_{3}= 8 +2d}[/tex]
[tex]{: \implies \quad \sf T_{3}= 8-6}[/tex]
[tex]{: \implies \quad \bf \therefore \: T_{3}= 2}[/tex]
Also ,
[tex]{: \implies \quad \sf T_{4}= T_{1}+(4-1)d}[/tex]
[tex]{: \implies \quad \sf T_{4}= 8 +3d}[/tex]
[tex]{: \implies \quad \sf T_{4}= 8-9}[/tex]
[tex]{: \implies \quad \bf \therefore \: T_{4}= -1}[/tex]
Now , The given table can be written as ;
[tex]{\begin{array}{|c|c|c|c|c|c|}\cline{1-6} \bf n & \sf 1 & 2 & 3 & 4 & 5 \\ \cline{1-6} \bf T_{n} & \sf 8 & 5 & 2 & -1 & -4 \end{array}}[/tex]
Note :- Kindly view the answer from web , if you're not able to see the full answer from here ;
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Given the data from the question, the 2nd, 3rd and 4th term of the sequence are:
The 2nd term is 5The 3rd term is 2The 4th term is –1What is an arithmetic sequence?This is a type of sequence which have common difference between each term. It is represent mathematically as:
Tₙ = a + (n – 1)d
Where
Tₙ is the nth term
a is the first term
n is the number of terms
d is the common difference
How to determine the common difference First term (a) = 8Number of terms (n) = 55th term (T₅) = –4Common difference = ?Tₙ = a + (n – 1)d
T₅ = 8 + (5 – 1)d
–4 = 8 + (4)d
Collect like terms
–4 – 8 = 4d
–12 = 4d
Divide both side by 3
d = –12 / 4
d = –3
How to determine the 2nd termFirst term (a) = 8Common difference (d) = –3Number of terms (n) = 22nd term (T₂) =?Tₙ = a + (n – 1)d
T₂ = 8 + (2 – 1)(–3)
T₂ = 8 + (1)(–3)
T₂ = 8 – 3
T₂ = 5
How to determine the 3rd termFirst term (a) = 8Common difference (d) = –3Number of terms (n) = 33rd term (T₃) =?Tₙ = a + (n – 1)d
T₃ = 8 + (3 – 1)(–3)
T₃ = 8 + (2)(–3)
T₃ = 8 – 6
T₃ = 2
How to determine the 4th termFirst term (a) = 8Common difference (d) = –3Number of terms (n) = 44th term (T₄) =?Tₙ = a + (n – 1)d
T₄ = 8 + (4 – 1)(–3)
T₄ = 8 + (3)(–3)
T₄ = 8 – 9
T₄ = –1
Learn more about arithmetic sequence:
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Create a point on each number line to represent the value -8 NUMBER LINE PICTURE IS BELOW
Thank you so much!!!
Answer/Step-by-step explanation:
Even if it not showing -8 on the number line we know that
-8 is in between -6 and -9 on the first number line.
For the second number line we can infer that -8 is in between -8.5 and -7.5.
Refer to picture below given for answer:
Ethan is proving that the slope between any two points on a straight line is the same. He has already proved that triangles 1 and 2 are similar.
Drag statements and reasons to complete the proof.
Answer:
i think its definition of slope , f-e= F -E AND SLOPE FROM P TO Q
Step-by-step explanation:
SORRY ABOUT THE CAPS...
What is the value of <5x-20?(plug 10 in for x
Answer:
<30
Step-by-step explanation:
5*10=50
50-20=30
Please mark me brainlest
Which of the following is the difference of two squares?
A)100m^2+9n^2
B)9x^2-12y^2
C)25a^2-36b^6
D)16g-49h
Answer: C
Step-by-step explanation:
[tex]25a^{2}=(5a)^{2}[/tex] and [tex]36b^{6}=(6b^{3})^{2}[/tex]
someone please help me on my math
Answer:
[tex]\displaystyle 15[/tex]
Step-by-step explanation:
Divide the circumferense by π like so:
[tex]\displaystyle \pi{d} = C \\ \\ \frac{47,1}{3,1415926536...} = d; 14,992395639... \\ \\ \boxed{15 \approx d}[/tex]
I am joyous to assist you at any time.
1.2 if a = -6, b = +4, c = -3 and d = -2 Calculate the value of :-
a) ab
b) a÷d
c) 2bd
Answer:
a)ab=-6×+4=-24
b)a÷d=-6÷-2=3
c)2bd=2×+4×-2=-16
Step-by-step explanation:
Put the values according to the question
Hope it help you
The stem and leaf plot shows the height in feet of every building taller than 50 feet in a county,
Building Heights
Stem
Leaf
5
1467
6
223568
7
0114 799
8
0002 355778 99
9
51 means 51 feet.
Which statement about the data is true?
The most common height for these buildings is 91 feet."
There are 30 buildings in the county that are taller than 50 feet.
© The number of buildings that are 70 feet tall is the same as the number of buildings that are 60 feet tall.
There are 5 buildings in the county that are between 50 feet tall and 59 feet tall.
Stem and leaf plots are used to visualize data, graphically
The true statement is (b) There are 30 buildings in the county that are taller than 50 feet.
How to interpret the stem and leaf plotFrom the stem and leaf plot, we have that the number of leaves is 30
This means that, the total frequency of the dataset is 30
So, the number of buildings taller than 50 feet is 30
Hence, the true statement is (b) There are 30 buildings in the county that are taller than 50 feet.
Read more about stem and leaf plots at:
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What is the slope of the line that passes through the points (10,8) and (7, 14)?
Write your answer in simplest form.
Slope:-
[tex]\\ \rm\rightarrowtail m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\rightarrowtail m=\dfrac{14-8}{7-10}[/tex]
[tex]\\ \rm\rightarrowtail m=\dfrac{-6}{-3}[/tex]
[tex]\\ \rm\rightarrowtail m=2[/tex]
Answer:
The line passes through the given points are ( 10,8) & (7,14)
here
x₁ = 10
y₁ = 8
x₂ = 7
y₂ = 14
We have been asked to slope of that line which passes through the given points .
Using Formulae
❍[tex] \bf \: m \: = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Put the given value we obtain
[tex] \sf \dashrightarrow \: m \: = \dfrac{14 - 8}{7 - 10} \\ \\ \sf \dashrightarrow \: m \: = \dfrac{6}{ - 3} \\ \\ \sf \dashrightarrow \: m \: = \dfrac{ - 2}{1} \\ \\ \sf \dashrightarrow \: m \: = - 2[/tex]
So, the slope of that line is -2 .
Please answer this for brainliest!
Answer:
128°
Explanation:
total sum of interior angle in triangle is 180°
Find the missing angle inside the triangle:
180° - 38° - 90°
52°
∵ a straight line always has 180°
Now find for missing exterior angle:
x° + 52° = 180°
x° = 180° - 52°
x° = 128°
Answer:
128 degrees
Step-by-step explanation:
180-52= 128
so your answer is 128 degrees.
What can be determined about the sum of square root of 10 and 6.7?
Answer:irrational, rational, non-reapting and non-terminating and irrational
Step-by-step explanation:
because
find the value of x
90
90
64
X
Answer:
244
Step-by-step explanation:
I assume this asks 90+90+64 = ?
So, you can put it all in a calculator and get 244
If you have any questions or I have interpretated the question wrong, feel free to comment! :D
The line given by -18x+7y=21 is dilated by a scale factor centered at the origin. The image of the line after dilation is given by y= 18/7x+6. What is the scale factor of the dilation?
Answer:
3 units in the vertical direction
Step-by-step explanation:
-18x + 7y = 21 → 7y = 18x + 21 → y = 18/7x + 3
6-3=3
Answer:
2
Step-by-step explanation:
[tex]-18x+7y=21\\\\\implies y=\dfrac{18}{7}x+3[/tex]
when x = 0, y = 3
[tex]y=\dfrac{18}{7}x+6[/tex]
when x = 0, y = 6
Therefore, the scale factor is 2 since the y coordinate has double: 3 x 2 = 6
Which expression is equivalent to log5[x/4]^2?
Answer:
2log(base 5)x - 2log(base 5)4
Step-by-step explanation:
The expression which is equivalent to [tex]log_5[/tex] [tex][x/4]^2[/tex] is c) 2[tex]log_5[/tex] x-2[tex]log_5[/tex] 4.
The answer is c. 2[tex]log_5[/tex] x - 2[tex]log_5[/tex] 4.
We can use the power rule of logarithms to simplify the expression [tex]log_5[/tex] [tex][x/4]^2[/tex]. The power rule of logarithms states that [tex]log_a[/tex] [tex]b^c[/tex] = c[tex]log_a[/tex] b.
In this case, we have [tex]log_5[/tex] [tex][x/4]^2[/tex] =[tex]log_5[/tex] [tex](x/4)^2[/tex] = 2[tex]log_5[/tex] (x/4).
We can then use the quotient rule of logarithms to simplify the expression further. The quotient rule of logarithms states that [tex]log_a[/tex] (b/c) = [tex]log_a[/tex] b - [tex]log_a[/tex] c.
In this case, we have 2[tex]log_5[/tex] (x/4) = 2[tex]log_5[/tex] x - 2[tex]log_5[/tex] 4.
Therefore, the equivalent expression to [tex]log_5[/tex] [tex][x/4]^2[/tex] is 2[tex]log_5[/tex] x-2[tex]log_5[/tex] 4.
The other expressions are not equivalent to [tex]log_5[/tex] [tex][x/4]^2[/tex]. Option a is not equivalent because it has an extra [tex]log_5[/tex] 4 term. Option b is not equivalent because it has a [tex]log_5[/tex] 16 term. Option d is not equivalent because it does not have the -2[tex]log_5[/tex] 4 term.
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What is the area of the following circle?
radius =1
Answer:
π
Step-by-step explanation:
The formula to find the area of a circle is πr^2. If we know that the radius is 1, we just have to substitute that for r:
π(1)^2
= π1
= π
-8t-23=-15 what is the answer
Answer:
t = -1
Step-by-step explanation:
Solve:
-8t - 23 = -15-8t = 8t = -1-Chetan K
Answer:t=-1
Step-by-step explanation:
What is the slope??? Please show step by step!!
The slope is 3/2.
We take any two points, I took (-14,3) and (-12,6) for solving for the formula when finding slope.
The formula is Rise/Run or Change in Y/ Change in X.
y2-y1/x2-x1
6-3/-12-(-14)
= 3/2
Slope is 3/2
The question is below.
Answer:
Product before increasing: 4200
x after increase: 60 * 105% = 63
y after increase: 70 * 110% = 77
Product after increasing: 4851
Percentage increase in the product: 4851 / 4200 * 100 = 115.5%
The temperature changed
from 73 degrees to 65
degrees. What is the change
in temperature?
Simplify the expression:
8x+1b=c
Answer:
c=8x+b
Step-by-step explanation:
Basically the 1 in b cancels out and you get c=8x+b
Which expression is equivalent to 0.6x?
[tex]2cos(0.5x) sin(0.1x)[/tex]
[tex]#TryYourBest[/tex]
PLEASEE HELP QUICK!!
Which choice shows y=2x+2 and y=2x correctly paired with their graphs?
Based on the formula for triangles, A = bh/2, I did that and got 24.5 but since there are 2 of the triangles I did 24.5 x 2 = 49. I know that the line in the triangle means they are congruent. But are they congruent to show that the base and height is 7 x 7 for the one that the line is crossing of does it show that itś 7x7 for both triangles?
I found the area of the square and subtracted that from the area of the triangles to get 147.
My area of the triangles is 49ft^2
My area of the pebbles is 147ft^2.
Is this correct?
Answer:
Right
Step-by-step explanation: