Problem 3
I'm not sure what your teacher is asking here. Identities are equations, but your teacher didn't give you an equation.
=============================================
Problem 4
To show that we have an identity, I'm only going to manipulate the left hand side to transform it into the right hand side. The right hand side will remain the same the entire time.
(3x+7)^2 - 84x = (3x-7)^2
(3x+7)(3x+7) - 84x = (3x-7)^2
(9x^2+21x+21x+49) - 84x = (3x-7)^2
9x^2+42x+49-84x = (3x-7)^2
9x^2-42x+49 = (3x-7)^2
(3x-7)^2 = (3x-7)^2
The two formulas
(a+b)^2 = a^2+2ab+b^2(a-b)^2 = a^2-2ab+b^2may be handy in terms of expanding out (3x+7)^2 and factoring 9x^2-42x+49
=============================================
Problem 5
x + 1/x = 11
a + b = 11 .... where a = x and b = 1/x
(a+b)^2 = 11^2
a^2 + 2ab + b^2 = 121
x^2 + 2*x*(1/x) + (1/x)^2 = 121
x^2 + 2 + 1/(x^2) = 121
x^2 + 1/(x^2) = 121-2
x^2 + 1/(x^2) = 119
An alternative route is to solve x + 1/x = 11 for x. You'll get two solutions. Use either solution to plug into x^2 + 1/(x^2) to find the result is 119.
Albert wants to buy two pomegranates and some peaches • The price of one pomegranate is $1.59. • The price of peaches is $1.19 per pound. Albert wants to no more than $10.00. Which graph represents the number of whole pounds of peaches Albert can buy?
Answer:
He can buy 5 pounds of peaches.
Step-by-step explanation:
2 pomegranates cost $3.18 so, subtract that from $10.00 and you get $6.82. Multiply the different number of pounds with the cost per pound until you go over $6.82. Then go back a pound and multiply. 5 pounds times $1.19 equals $5.95.
Use the following table to determine P(X≤3).
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[tex]P(x \leqslant 3) = P(1) + P(2) + P(3) \\ [/tex]
[tex]P(x \leqslant 3) = 0.25 + 0.32 + 0.17 \\ [/tex]
[tex]P(x \leqslant 3) = 0.74[/tex]
Thus the correct answer is
the last option .
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I will give brainliest! Please help!!
Solve the problem. A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs and 5 bags of potato chips for $16.25. Another customer buys 5 hot dogs and 4 bags of potato chips for $19.50. Find the cost of each item.
A. $2.75 for a hot dog; $2.00 for a bag of potato chips
B.$2.50 for a hot dog; $1.75 for a bag of potato chips
C.$2.50 for a hot dog: $2.00 fora bag of potato chips
D. $1.75 for a hot dog; $2.50 for a bag of potato chips
Answer
ok the answer is C
Step-by-step explanation:
1.75*4=7
.75*2=1.5
7+1.5=8.50
find the value of "y" in the triangle.
Answer:
y = 7 x = 45
Step-by-step explanation:
[tex]x=45[/tex] because the triangle is a right angle isocele triangle so 180-90 =90
90 / 2 =45 = x
[tex]\frac{7\sqrt{\:2}}{\sin \left(90\right)\:}=\frac{y}{\sin \left(45\right)}[/tex] so y = 7
Answer:
y =7
this is your answer
I need this answer ASAP
Answer:
Step-by-step explanation:
Multiply 13*5 is 65
Answer:
I'm pretty sure the answer is 5
Step-by-step explanation:
Yea I need help
I’ll give 20 points
Answer
Its the 3rd option
Step-by-step explanation:
Solve this equation. Enter your answer in the box.
–24 + 12d = 2(d – 3) + 22
Answer: The answer should be 4. So it should be written as d = 4. You answer this equation by removing the parentheses, calculating, moving the terms, collect the like terms and calculate some more, then finally divide both sides. Hope this helps!
Consider the equation Ax+By=−36. If the x-intercept is (−3,0) and the y-intercept is (0,9), what are the values of A and B?
Answer:
A= 12
B = -4
Step-by-step explanation:
( -3,0) & (0,9) should satisfy the equation Ax + By = -36
when ( -3,0)
-3A+ 0 = -36
A = 12
when (0,9)
0 + 9B = -36
B = -4
The value of A and B is 12 and -4.
Given that,
The equation is Ax + By = -36.And, the x-intercept is (-3,0) and the y-intercept is (0,9).Based on the above information, the calculation is as follows:
Ax + By = -36
When (-3,0)
So,
-3A+ 0 = -36
A = 12
Now
when (0,9)
So,
0 + 9B = -36
B = -4
Therefore we can conclude that the value of A and B is 12 and -4.
Learn more: brainly.com/question/3334417
can someone help me in solving this with explanation please.. i really need it and i will be so thankful
Answer:
The correct answer is C: 5 root 2
Step-by-step explanation:
Please help me guys I beg you I will give you lots of credit plz
Answer:
11m/min
Step-by-step explanation:
slope of the line = velocity of the turtle
slope = y/x
= 55/5
=11
Answer:
11
Step-by-step explanation:
55 meters by 5 minutes, so divide 55 by 5 to find one minute.
55/5 = 11
Which of these is a Pythagorean triad?
A. 5, 12, 13
B. 1, 2, 3
C. 6, 9, 10
Answer:
A) 5, 12, 13
Step-by-step explanation:
[tex]5^2 + 12^2 = 169[/tex]
[tex]13^2 = 169[/tex]
∴ Option A is a Pythagorean triad.
[tex]1^2 + 2^2 = 5[/tex]
[tex]3^2 = 9[/tex]
∵[tex]5\neq 9[/tex], ∴ Option B is not a Pythagorean triad.
[tex]6^2 + 9^2 = 117[/tex]
[tex]10^2 = 100[/tex]
∵[tex]117\neq 100[/tex], ∴Option C is not a Pythagorean triad.
∴ A is the only Pythagorean triad out all three options.
Hope this helps :)
(a2 - b2)/(2 + d3)
a=6
b=4
d= 1 over 2
one of the answers is
A. 28.17
B. 13.18
C. 28.47
D. 10.125
E. 1.975
F. 9.4118
Answer:
28.47
Step-by-step explanation:
Answer:
F
Step-by-step explanation:
Given
[tex]\frac{a^2-b^2}{2+d^3}[/tex] ← substitute given values into the expression
= [tex]\frac{6^2-4^2}{2+(\frac{1}{2}) ^{3} }[/tex]
= [tex]\frac{36-16}{2+\frac{1}{8} }[/tex]
= [tex]\frac{20}{\frac{17}{8} }[/tex]
= [tex]\frac{20}{2.125}[/tex]
≈ 9.4118 ( to 4 dec. places ) → F
what the slope of(12,7) (5,9)
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[tex]slope = \frac{9 - 7}{5 - 12} \\ [/tex]
[tex]slope = \frac{2}{ - 7} \\ [/tex]
[tex]slope = - \frac{2}{7} \\ [/tex]
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Answer:
[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]
Step-by-step explanation:
The slope of a line can be found using the following formula:
[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]
Where (x₁,y₁) and (x₂,y₂) are the points on the line.
We are given the points (12,7) and (5,9). Therefore:
[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]
Substitute the values into the formula.
[tex]m=\frac{9-7}{5-12}[/tex]
Solve the numerator.
Subtract 7 from 9 9-7=2[tex]m=\frac{2}{5-12}[/tex]
Solve the denominator.
Subtract 12 from 5 5-12= -7[tex]m=\frac{2}{-7}[/tex]
This fraction cannot be reduced further, so it is the answer.
The slope of the line is -2/7
Please tell me the answer
Answer:
(-∞,∞) Bottom answerI hope this helps you with your algebra
Answer:
Infinity
Step-by-step explanation:
Give brainiest to the other guy/girl they deserve it!!
(Hope dis helps!!!)
write the equation of a line in point-slope form:
#12 please
Step-by-step explanation:
sub in the given values (aka sub slope = -2/5 and point (-2, 3)):
y - 3 = -2/5(x - (-2))
y - 3 = -2/5x - 4/5
y = -2/5x + 11/5
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Helpp plzzz!! Identify the corresponding side to side MN.
Answer:
st i think
Step-by-step explanation:
Answer:
I seem to have learned this, but I just don't remember how to do it? Even if I remember, I don't know how to count it?
A hiker climbed up from the bottom of a mountain. His elevation increased at a rate of 40 feet each hour. Which equation models the change in his elevation at 3 hours.
O A.3(-40)=120
O B.(-3)(-40)=120
O C. 3•40=120
O D.3(-40)=120
Answer:
I believe it is C
Step-by-step explanation:
Answer:
Its C
Step-by-step explanation:
A-P-E-X
A video rental store charges a $20 membership fee and $2.50 for each video rented. Find the slope and y-intercept for the data. (hint: create a table or graph comparting the total cost per video rented).
slope:
y-intercept:
Answer:
y=2.50x+20
Step-by-step explanation
Slope intercept equation is = y=mx+b
So you BEGIN with 20, which is your membership fee (it only gets charged once) then your mx is your slope. 2.50 is your slope because they earn 2.50 for each (x) video rented.
you place a number beside the x for each video rented. For example, if you rent 2 videos then you write this y=2.50(2)+20
Answer:
slope:2.50
y intercept:20$
Step-by-step explanation:
FFDP, "Under and over it"
. who sings this guys
Answer:
lol
Step-by-step explanation:
Answer:
Five Finger Death Punch
Step-by-step explanation:
Can someone plz help me
Answer:
16.3 N
Step-by-step explanation:
subtract if the forces are opposite
2. (Please help)If m29 = 97º and mZ12 = 114º, find each measure.
a. mZ1 =
f. m26 =
k. m213=
8
12
b. m2 =
g. m27 =
1. m214 =
1 2 3
>
56
11
16
15
10
c. m3 =
h. mZ8 =
m. m 15 =
9
14
13
d. m24 =
i. mZ10 =
n. m2 16 =
e. m25 =
j. m211 =
Step-by-step explanation:
a)97
b)83
c)66
d)114
e)83
f)97
g)114
h)66
i)83
j)66
k)83
l)97
m)114
n)66
Which measure of Center would be most effected if 50 was added to the following data set? 10, 14, 15, 15, 18, 20
Answer:
The mean.
Step-by-step explanation:
The mean because 50 is a lot bigger number than the numbers in the list.
The median (the middle number in an ordered list) would still be 15. Also the mode (15) will also stay the same.
The original mean = sum of the 6 numbers divided by 6
= 92/5 = 15.3.
When 50 is added the mean is (92 + 50) / 7 = 20.3.
Answer:
The mean
Step-by-step explanation:
Because mean is the main measure of center that we solve first before solving the others
Can yall plz help me answer this!!!
Answer:
n= -3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4n+2=6(
1
3
n−
2
3
)
4n+2=(6)(
1
3
n)+(6)(
−2
3
)(Distribute)
4n+2=2n+−4
4n+2=2n−4
Step 2: Subtract 2n from both sides.
4n+2−2n=2n−4−2n
2n+2=−4
Step 3: Subtract 2 from both sides.
2n+2−2=−4−2
2n=−6
Step 4: Divide both sides by 2.
2n
2
=
−6
2
n=−3
Answer:
n = -3
Step-by-step explanation:
The first step you want to do is try to get rid of those parenthesis and to do that you want to distribute the 6 into 1/3n and 2/3 and you get
4n + 2 = [tex]\frac{6}{3}[/tex]n - [tex]\frac{12}{3}[/tex]
that can be simplified to
4n + 2 = 2n - 4
subtract 2n from both sides and you get
2n + 2 = -4
subtract 2 from both sides
2n = -6
divide both sides by 2 you get
n = -3
what is the solution 4x-10=x+3x-2x
Answer:
x=5
Step-by-step explanation:
which expression is equivalent to 8c+6-3c-2
Answer:5c+4
Step-by-step explanation:
Gary wants to buy a video game with a selling price of $48, on sale for 50% off. The sales tax in his state is 4.5%. How much does will Gary have to pay in all? If he has $25, can he afford to purchase the game?
Answer:
i. $26.16ii. He cannot afford the video gameStep-by-step explanation:
Step one:
given
selling price = $48
discount is 50%
tax= 4.5%
Step two:
let us first compute the amount in discount
=50/100*48
=0.5*48
=$24
also, let us compute the tax added
=4.5/100*48
=0.045*48
=$2.16
The total amount Garry has to pay is
=48-24+2.16
=$26.16
Step three:
If he has $25, he cannot afford the video game, he will have a deficit of $1.16
Answer: Gary will have to pay $25.08 in all, and if he has exactly $25, he can't afford to purchase the game because he only has $25, and he has to pay $25.08. $25.08 is more than $25, so he can't afford the game.
Step-by-step explanation:
First, subtract the $48 and 50% to find how much the video game costs.
So, $48-50%=24
Then, add the price of the video game, $24, to the 4.5% tax.
24+4.5%=25.08
Thus, Gary will need to pay $25.08 in all.
Assume Katelyn's loan was for $5,000 and that she will make 48 monthly payments of $117.42 to repay the loan. How much total interest will she pay over the life of the loan?
Answer:
Step-by-step explanation:
48*117.42=5636.16
Principle of the loan is $5000. Payback is $5636.16. She pays $636.16 in interest or 12.7232%. I got that by dividing the 636.16 of interest by 5000.
Amara needs 45kilograms of meat to feed her 2pet dragons each day. Each pet dragon eats the same amount of meat.
How many kilograms of meat does Amara need to feed 4 pet dragons each day?
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
She needs 45 kg meat for 2 pets
each pet feed the same, i.e,
one pet eats = 45/2 = 22.5 kg meat
then 4 pet dragons will eat = [tex] 22.5kg \times 4 = 90 kg [/tex] meat.
Hence, Amara needs 90 kilograms of meat to feed 4 pet dragons each day.
Write a cubic function whose graph passes through the points (-4,0)(4,0)(0,6) and (2,0)
Answer: 3/16(x+4)(x-4)(x-2)
Step-by-step explanation: