(4x³ + 9xy + 8y) - (3x³ + 5xy - 8y) =
= 4x³ + 9xy + 8y - 3x³ - 5xy + 8y =
= 4x³ - 3x³ + 9xy - 5xy + 8y + 8y =
= x³ + 4xy + 16y ← the end answer
In triangle ABC, the size of angle B is 3 times the size of angle A, and the size of angle C is 5 degrees less than 6 times the size of angle A.
Find the size of the angles.
If you can help me, you are a legend
Answer:
18.5°, 55.5°, 106°Step-by-step explanation:
Given:
B = 3AC = 6A - 5Since the sum of three interior angles is 180°, solve for A:
A + B + C = 180A + 3A + 6A - 5 = 18010A = 185A = 18.5°Find B and C:
B = 3*18.5 = 55.5°C = 6*18.5 - 5 = 106°Cost of the item is $ 60.30, the tax rate is 5.6% What
la the tax?
Answer:
$3.378 or $3.38 rounded
Inverse equation
1. g(n)= 2+(n+2)^3
2. f(n)= 1/2n+3/2
Answer:
1
[tex]g(n) = 2 + {(n + 2)}^{3} [/tex]
let the inverse be m :
[tex]m = 2 + {(n + 2)}^{3} \\ {(n + 2)}^{3} = m - 2 \\ n + 2 = \sqrt[3]{(m - 2)} \\ n = \{ \sqrt[ 3]{(m - 2)} - 2 \}[/tex]
therefore:
[tex]{ \boxed{ \boxed{g {}^{ - 1}(n) = \{ \sqrt[3]{(n - 2)} - 2 \}}}}[/tex]
2.
[tex]f(n) = \frac{1}{2} n + \frac{3}{2} [/tex]
let inverse be x :
[tex]x = \frac{1}{2} n + \frac{3}{2} \\ \\ 2x = n + 3 \\ n = 2x - 3[/tex]
therefore:
[tex]{ \boxed{ \boxed{f {}^{ - 1}(n) = 2n - 3 }}}[/tex]
Which number has a 6 that is 1/10 of the value of the 6 in 7,639
Answer:
60
Step-by-step explanation:
the 6 in 7639 has a value of 600
600/10 = 60
A camera cost 115 Canadian dollars if each Canadian dollar is worth 0.950 to US dollars how much will the camera cost in the US dollars
Answer:
109.25 US dollars
Step-by-step explanation:
115 * 0950
A motorboat travels 448 kilometers in 8 hours going upstream and 440 kilometers in 5 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
9514 1404 393
Answer:
boat: 72 km/hcurrent: 16 km/hStep-by-step explanation:
The speed difference between boat and current is the upstream rate:
(448 km)/(8 h) = 56 km/h
The sum of speeds of boat and current is the downstream rate:
(440 km)/(5 h) = 88 km/h
The rate of the boat is half the sum of these:
(56 +88)/2 = 72 . . . km/h
The rate of the current is half their difference:
(88 -56)/2 = 16 . . . km/h
The rate of the boat is 72 km/h; the rate of the current is 16 km/h.
Solve the equation.
6(x + 7) = 5(x - 7) + x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is
(Simplify your answer.)
OB. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
Answer:C
Step-by-step explanation:
6(x+7)=5(x-7)+x
⇔6x+42=5x-35+x
⇔6x-5x-x=-35-42
⇔0x=-77
A store in Iowa advertises that during their Labor Day sale, everything is 25% off, plus they will pay the sales tax. Mike buys shoes for $80 and socks for $5. Since there will be no tax added, what is the final price for Mike’s purchase?
9514 1404 393
Answer:
$63.75
Step-by-step explanation:
Mike's final price will be 1-25% = 75% of the marked price.
($80 +5)(0.75) = $63.75
The final price for Mike's purchase is $63.75.
Find an equation of a line that has a slope 7 and passes through the point 3,11
if a and b are roots of the equation ax²+bx+c=0 obtain the value of a/b +b/a
[tex]\\ \sf\longmapsto \dfrac{a}{b}+\dfrac{b}{a}[/tex]
[tex]\\ \sf\longmapsto \dfrac{a^2+b^2}{ab}[/tex]
[tex]\\ \sf\longmapsto \dfrac{(a+b)^2-2ab}{ab}[/tex]
Inverse for f(x)=1/2x+3
Answer: [tex]f^{-1}(x)=2x-6[/tex]
Step-by-step explanation:
To find the inverse, we want to switch the y with x and x with y. Once we do that, we solve for y.
[tex]y=\frac{1}{2}x+3[/tex] [switch x and y]
[tex]x=\frac{1}{2}y+3[/tex] [subtract both sides by 3]
[tex]x-3=\frac{1}{2} y[/tex] [multiply both sides by 2]
[tex]y=2x-6[/tex]
Now, we know that [tex]f^{-1}(x)=2x-6[/tex].
What shape is always created in graphing the addition of two vectors?
You could use the parallelogram rule to add the vectors, or you could use the tip-to-tail method (your textbook might call it the "head to tail method" but it's the same idea).
An example of the parallelogram method is shown below with adding the vector u = (-4,4) in red to the vector v = (8,2) in blue to get the vector w = (4,6) in green. The green resultant vector is one of the diagonals of the parallelogram
Side note: The other diagonal is either u-v or v-u depending on your reference point.
I need the answerrrrrrrrrrrrrrrrrrrrrrrr I HATE GEOMETRY AND I NEED TO GET MY GRADES UP CAUSE I NEED MY PHONE BACK.
Answer:
The bisector is line l
mq = 7
Step-by-step explanation:
To find x:
[tex]5x-3=11-2x\\\\+2x+3 +3 +2x\\\\\\7x=14\\x=2[/tex]
To find the value of mq
plug in the value of x into the equation.
[tex]11-2x\\11-2(2)\\11-4\\=7[/tex]
MQ = 7
Hope this is helpful! Please leave a review and comment below! Thanks for all your support!
b. B
Step-by-step explanation:PM = RM
[tex]5x - 3 = 11 - 2x[/tex]
[tex]5x + 2x = 11 + 3[/tex]
[tex]7x = 14[/tex]
[tex]x \times 2[/tex]
MQ = [tex]11 - 2x[/tex]
[tex]11 - 2 \times 2[/tex]
[tex]11 - 4[/tex]
[tex] = 7[/tex]
help with this math question plz
Answer: The length of LK is 40.
Step-by-step explanation:
LK = 6x+10
KM = 2x+8
LM = 58
so
LM = LK + KM
or, 58 = 6x+10+2x+8
or, 58 = 8x + 18
or, 58-18 = 8x
or, 8x = 40
so, x = 5
now
LK = 6x + 10
= 6*5+10
= 30 +10
= 40
Please someone help me (No links)
[tex] \large \mathfrak{Solution : }[/tex]
We know, Diameter = 2 × radius
therefore,
Diameter = 2 × 7 = 14 ftAnswer:
14 ft
Step-by-step explanation:
the diameter is half the radius. :)
Order from least to greatest
√6, -5.25 , 3/2 , 5
Answer: 5.25, 3/2, the square root of 6, 5
Step-by-step explanation:
Question 9 (5 points)
image
The measure of arc CD is 175°. Determine the measure of ∠DBC.
Question 9 options:
1)
175°
2)
87.5°
3)
5°
4)
350°
Answer:
175 degrees!!!!!!!!
Step-by-step explanation:
Use a TABLE to solve ( x + 3) ( x + 2). QUICK PLEASE!
Answer:
My answer is: x square + 5x +6
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{(x + 3)(x + 2)}}\\\huge\boxed{\mathsf{\rightarrow x(x) + 2(x) + 3(x) + 3(2)}}}\\\huge\boxed{\rightarrow{\mathsf{x^2 + 2x + 3x +6}}}\\\huge\boxed{\boxed{\text{COMBINE the LIKE TERMS}}}\\\huge\boxed{\mathsf{\rightarrow x^2 + \bold{2x + 3x} + 6}}\\\huge\boxed{\mathsf{\rightarrow{x^2 + \bold{5x} + 6}}}\\\\\huge\boxed{\mathsf{Therefore, your\ answer\ is: x^2 + 5x + 6}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
The product of w and 2 is greater than -29
Answer:
2w>-29
Step-by-step explanation:
Simplified it's w> -14.5
what is - 7/10 + (- 5/6) =
-7/10 + (-5/6) = -(7/10 + 5/6) =
= -(21/30 + 25/30) = -46/30 =
= -1 16/30 = -1 8/15 ← the end
please help i will give extra points
Answer:
3^2 + 21 /3
9 + 7
16✓
Answer
[y^6(xy^2)^-3/3x^-3z]^-2
Answer:
-35x8y13z11
Step-by-step explanation
Six less than four times a number is twenty-two. Find the number
Answer:
6-2×n=22
2×n=22
Since it is multiplication we have to take opposite side which is Division
So We divide both sides with 2
2÷2×n=22÷2
n=11
17. Callie's cat lost 4-pounds before having
surgery. Two weeks after having sungery, her
7
cat gained 25 pounds. What was the total
change in weight of Callie's cat?
Answer:
30 lbs
Step-by-step explanation:
-4+7+25=
-4+34=
30
name the value of the digit 484,002,000 and the 8 is underlined.
Answer:
ITS 80,000,000
Set theory Need answers quick
Answer:
4. {2,4,6,8}
5. [(-2, -1), (1, 8)}
9. {0, 2}
Step-by-step explanation:
The intersection of the given sets is the set that contains elements common to all of the given the sets.
How do I write three fourths of a number is 12 as an equation?
Answer:
[tex] \frac{3}{4} n = 12[/tex]
Step-by-step explanation:
let the number be n :
[tex] \frac{3}{4} \: of \: n = 12 \\ \\ \frac{3}{4} n = 12[/tex]
further more:
[tex]3n = 12 \times 4 \\ n = \frac{12 \times 4}{3} \\ \\ n = 4 \times 4 \\ n = 16[/tex]
Answer:
3x4=12
Step-by-step explanation:
Show that |3| + |10| = |3| + |10|
Answer:
/10/=/-10/=10 ; /3/=/-3/=3
=> /3/+/10/=/3/+/10/=3+10=13
Step-by-step explanation:
Solve for F. m/F = 1/a
Answer:
F = ma
Step-by-step explanation:
Given
[tex]\frac{m}{F}[/tex] = [tex]\frac{1}{a}[/tex] ( cross- multiply )
F = ma
Convert 8 2/3% into a decimal.
Answer:
the answer is = 0.08666666666
The decimal value of 8 2/3% is 866.677.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
8 2/3% into decimal.
So, 8 2/3%
= 26/3 %
= 26 /3 x 100
= 8.6666667 x 100
=866.6777
Learn more about Percentage here:
https://brainly.com/question/29306119
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