Answer:
Solving for 2x - 3 = -x + 3
Standard form:
3x − 6 = 0
Factorization:
3(x − 2) = 0
Solutions:
x = 6
3
= 2
Step-by-step explanation: Think my Answer is Wrong or Right? Let me know!
Answer:
x = 6
Step-by-step explanation:
We know:
2x - 3 = x +3
Rearrange the equation:
2x - x = 3 + 3
Combine like terms:
1x = 6
Divide:
x = 6
Please someone help me, youvmust find the value of:
Answer:
1
Step-by-step explanation:
Using the sum to product formulae and the exact values
sin x + sin y = 2sin([tex]\frac{x+y}{2}[/tex] )cos([tex]\frac{x-y}{2}[/tex] )
cos x + cos y = 2cos([tex]\frac{x+y}{2}[/tex] )cos([tex]\frac{x-y}{2}[/tex] )
sin45° = cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]
Given
[tex]\frac{sin75+sin15}{cos75+cos15}[/tex]
= [tex]\frac{2sin(\frac{75+15}{2})cos(\frac{75-15}{2}) }{2cos(\frac{75+15}{2})cos(\frac{75-15}{2}) }[/tex]
= [tex]\frac{2si45cos30}{2cos45cos30}[/tex]
= (2 × [tex]\frac{1}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) ÷ (2 × [tex]\frac{1}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] )
= 1
Answer: 1
Step-by-step explanation:
sin 75 = sin(30 + 45) = sin30 · cos45 + cos30 · sin45
[tex]=\dfrac{1}{2}\cdot \dfrac{\sqrt2}{2}+\dfrac{\sqrt3}{2}\cdot\dfrac{\sqrt2}{2}\qquad =\dfrac{\sqrt2+\sqrt6}{4}[/tex]
sin 15 = sin(45 - 30) = sin45 · cos30 - cos45 · sin30
[tex]=\dfrac{\sqrt2}{2}\cdot \dfrac{\sqrt3}{2}-\dfrac{\sqrt2}{2}\cdot\dfrac{1}{2}\qquad =\dfrac{\sqrt6+\sqrt2}{4}[/tex]
cos 75 = cos(30 + 45) = cos30 · cos45 - sin30 · sin45
[tex]=\dfrac{\sqrt3}{2}\cdot \dfrac{\sqrt2}{2}-\dfrac{1}{2}\cdot\dfrac{\sqrt2}{2}\qquad =\dfrac{\sqrt6-\sqrt2}{4}[/tex]
cos 15 = cos(45 - 30) = cos45 · cos30 + sin45 · sin30
[tex]=\dfrac{\sqrt2}{2}\cdot \dfrac{\sqrt3}{2}+\dfrac{\sqrt2}{2}\cdot\dfrac{1}{2}\qquad =\dfrac{\sqrt6+\sqrt2}{4}[/tex]
[tex]\dfrac{\sin 75+\sin 15}{\cos 75+\cos 15}[/tex]
[tex]=\dfrac{\frac{\sqrt2+\sqrt6}{4}+\frac{\sqrt6-\sqrt2}{4}}{\frac{\sqrt6-\sqrt2}{4}+\frac{\sqrt6+\sqrt2}{4}}\\\\\\=\dfrac{\frac{\sqrt6}{2}}{\frac{\sqrt6}{2}}\\\\\\=1[/tex]
find the measure of x(HEELP)
A.180
B.109
C.135
D.116
C.120
Answer:
x = 109
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite angles in the triangle
x = 45+64
x =109
Answer: B. 109 degrees
Step-by-step explanation:
The two remote interior angles add up to the exterior angle which means if you add the two measures you will get x.
64 + 45 = 109
Find the solutions to the equation below.
Check all that apply.
6x2 + 5x - 4 = 0
A. X=
-IN
B. X=
C. x =
1 D. x = -2
E. x=-5
F. X= 4
Answer:
X=1/2. X=4/3
Step-by-step explanation:
6x2+5X-4=0
6X2+8X-3X-4=0
2x(3x+4) - 1(3x+4)=0
2x-1) (3X-4)
X=1/2. X=4/3
The Solution of Equation is x = -4/3 or x= 2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the Equation:
6x² + 5x - 4 = 0
Solving the Quadratic equation
6x² + 5x - 4 = 0
6x² -3x + 8x - 4 = 0
3x( x- 2) +4 (x-2)= 0
(3x + 4) (x-2) = 0
3x +4 = 0 or x-2 = 0
x = -4/3 or x= 2
Learn more about Equation here:
https://brainly.com/question/29657983
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PLZ HELP!!!
At the band’s peak of popularity, a signed Black Diamond poster sold for $500. Three years later, the band was almost forgotten, and the poster was worth only $10. Write a function that will allow you to calculate how much the poster is worth after x years. State the meaning of each part of the equation in the context of the problem.
The annual depreciation rate is 72.86%
Answer:
The annual depreciation rate is 72.86%.
Step-by-step explanation:
The information provided are:
At the band’s peak of popularity, a signed Black Diamond poster sold for $500.Three years later, the band was almost forgotten, and the poster was worth only $10.From the above data we know that the band's popularity depreciated.
The initial cost of a signed Black Diamond poster was, a = $500.
After three years the cost of a signed Black Diamond poster was, y = $10.
It can be seen that the value of a signed Black Diamond poster is decreasing exponentially over the years.
The formula for exponential decay or depreciation is:
[tex]y=a(1-r)^{x}[/tex]
Here,
y = final value
a = initial value
r = rate of depreciation
x = time
Compute the annual depreciation rate as follows:
[tex]y=a(1-r)^{x}[/tex]
[tex]10=500\times (1 -r)^{3}[/tex]
[tex](1-r)^{3}=\frac{10}{500}[/tex]
[tex](1-r)=\sqrt[3]{\frac{1}{50}}[/tex]
[tex]1-r=0.2714[/tex]
[tex]r=1-0.2714\\\\r=0.7286[/tex]
Thus, the annual depreciation rate is 72.86%.
A square has an area of 112 cm squared what is the approximate perimeter of the square
Answer:
approximate perimeter is 42.32
Step-by-step explanation:
each side of a square is equal to each other
1. Find the square root of 112
[tex]10.58^2 = 112[/tex]
2. Multiply 10.58 by 4(number of sides)
[tex]10.58(4) = 42.32[/tex]
Is two to the fourth power equal to 2×4
Answer:
No
Step-by-step explanation:
2 to the fourth power is equal to 16.
On the other hand, 2 times 4 is equal to 8.
So, they are not equivalent because 16 [tex]\neq[/tex] 8
4² is the same as the question 4 x 4 which is 16
If segment AB is 4 units, segment AD is 23 units, and segment CD is 12 units, what is the length of segment BC?
23
A
9 units
B.
6 units
C
7 units
D
8 units
Answer:
C . 7 unitsStep-by-step explanation:
The question is lacking appropriate diagram. Find the diagram to the question attached.
From the diagram, it can be seen that AD = AB+BC+CD
Given the following
AD = 23units
AB = 4units
CD = 12units
To get C=BC, we will substitute the given segments into the expression above as shown;
23 = 4+BC+12
23 = BC + 4 + 12
23 = BC+16
Subtract 16 from both sides
23-16 = BC+16-16
7 = BC
Hence the length of segment BC is 7units.
find the value. 2⅔×2¹/7
Answer: 40/7, if you need, the mixed fraction is 5 5/7
Step-by-step explanation:
First of all, convert all the mixed fraction into improper fraction.
2 2/3=8/3
2 1/7=15/7
Then do the multiplication.
8/3 × 15/7=120/21=40/7 (You can directly simplify it to 40/7 since you can use 15 divided by 3 to get 5 left in the numerator)
Hope this helps!! :)
Please let me know if you have any question
Answer:
5.71
Step-by-step explanation:
two two by three × two one by seven
=8/3×15/7
=8×5/7 as 15 and three will divide and 15 will change to 5
=40/7
=5.71
Please help me!! I can't do this...
Answer:
focus and belive on your self
Step-by-step explanation:
-3n+2>-4n-3 help me solve this
Answer:
n>−5
Step-by-step explanation:
Step 1: Add 4n to both sides.
−3n+2+4n>−4n−3+4n
n+2>−3
Step 2: Subtract 2 from both sides.
n+2−2>−3−2
n>−5
Solve for w: -6w + 1 = -11
Answer:
w =2Step-by-step explanation:
[tex]-6w + 1 = -11[/tex]
Move +1 to the right side and change its sign
[tex]-6w =-11-1\\[/tex]
Simplify
[tex]-6w =-12[/tex]
Divide both sides of the equation by -6
[tex]\frac{-6w}{-6} = \frac{-12}{-6} \\\\w = 2[/tex]
2x3 + x2 + 7x - 6)-(- 2x + 10x + 10x+9)
Answer:
2x³ + x² - 11x - 15
Step-by-step explanation:
Step 1: Write out expression
2x³ + x² + 7x - 6 - (-2x + 10x + 10x + 9)
Step 2: Distribute negative
2x³ + x² + 7x - 6 + 2x - 10x - 10x - 9
Step 3: Combine like terms (x)
2x³ + x² + 9x - 10x - 10x - 9 - 6
2x³ + x² - x - 10x - 9 - 6
2x³ + x² - 11x - 9 - 6
Step 4: Combine like terms (constants)
2x³ + x² - 11x - 15
Answer:
Im here can u do it now?
Step-by-step explanation:
Harry liked to collect old movies. On 4 different days, he bought 2 movies. On 2 other days, he bought 3 movies each day. After that he sold 2 sets of 2 movies. He figured out how many he had total, and then he divided that total into 2 groups to put onto his shelves. How many did he put on each shelf? Choose the expression that best matches this situation.
Answer:
Harry put 5 movies on each shelf.
Step-by-step explanation:
The information provided is:
On 4 different days, he bought 2 movies.On 2 other days, he bought 3 movies each day. After that he sold 2 sets of 2 movies.He divided the remaining into 2 groups to put onto his shelves.So, first Harry bought 2 movies on four different days.
That is, a total of 8 movies.
Then, he bought 3 movies on two other days.
That is, a total of 6 movies.
So, in total Harry bought 14 movies.
Now, he sold 2 sets of 2 movies.
That is, he sold 4 movies.
He has 14 - 4 = 10 remaining movies with him.
It is provided that he divided remaining movies into 2 groups to put onto his shelves.
So, he put 10/2 = 5 movies on each shelf.
Answer:
[(4 x 2) + (2 x 3) – (2 x 2)] ÷ 2
Step-by-step explanation:
Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint: ( -1, -7) Midpoint: ( -4, 10)
Which statement best describes the graph of 2x−5y=−25 and the graph of y=5/2x+5?
So I have 5 cats and eat 2819 how many do I have left
Answer:
-2814
Step-by-step explanation:
5 cats, u eat 2819 of them, that means u have negative 2819
9/5 - 4/3 =
A. 1/3
B. 8/15
C. 7/15
D. 1 1/15
Answer:
[tex] \frac{7}{15} [/tex]
Step-by-step explanation:
[tex] \frac{9}{5} - \frac{4}{3} = \frac{27 - 20}{15} = \frac{7}{15} [/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{7}{15} }}}}}[/tex]
Option C is the correct option
Step-by-step explanation:
[tex] \sf{ \frac{9}{5} - \frac{4}{3} }[/tex]
Take the L.C.M ( Lowest Common Multiple ) of 5 and 3.
L.C.M of 5 and 3 = 15
⇒[tex] \sf{ \frac{9 \times 3 - 4 \times 5}{15} }[/tex]
Multiply the numbers
⇒[tex] \sf{ \frac{27 - 20}{15} }[/tex]
Subtract 20 from 27
⇒[tex] \sf{ \frac{7}{15} }[/tex]
Hope I helped!
Best regards! :D
26/90 = n/360
What is N?
Answer:104
Step-by-step explanation:
Answer:
n = 104
Step-by-step explanation:
26/90 = n/360
Using cross products
26 * 360 = 90 (n)
Divide each side by 90
26 * 360/90 = 90 (n)/90
104 = N
Apply each transformation described to Figure A. If you get stuck, try using tracing paper. A figure A with a point P, a line l and a point P prime on a triangular grid. A translation which takes LaTeX: PP to LaTeX: P'P ′ A counterclockwise rotation of A, using center LaTeX: PP, of 60 degrees A reflection of A across line LaTeX: \ellℓ HTML EditorKeyboard Shortcuts
Answer:
p
Step-by-step explanation:
Roger is x centimeters tall and Olivia is y centimeters tall. Their oldest sister, Isabella, is 25 centimeters shorter than the double of the sum of Roger and Olivia’s height. Write an expression for Isabella’s height
Answer: 2(x+y)-25
Step-by-step explanation:
First, we need to show the sum of Roger and Olivia's heights. If Roger is x and Olivia is y, the sum is x+y
Next, we need to double that. To double something we multiply it by 2. Since we need double the expression we found above, we put it in parentheses. So the doubled sum is shown as 2(x+y)
Finally, we need to show that Isabella is 25 centimeters shorter than the doubled sum. To do that, subtract 25.
The final expression for Isabella's height is 2(x+y)-25
The Yellow Cab Company charges just $0.25 a mile, but it costs $5 to get in the cab. Express
Cab charges no fee to get in the cab, but $1.50 a mile for the ride.
a) If you are going 7 miles, which cab company should you call?
b)
If you are going 3 miles, which cab company should you call?
c)
For what length of drive is the cost equal?
Answer:
For 7 miles call they Yellow Cab and for 3 miles call Express Cab
In 4 miles it cost $6.00 for both
Step-by-step explanation:
Express Cab= $4.50 for 3 miles, and for 7 miles it cost $10.50
Yellow Cab = $5.75 for 3 miles, and for 7 miles it cost $6.75
add 1.50 to 4.50 and is 6 dollars in 4 miles and add 0.25 to 5.75 and it also makes it 4 miles
Please help me with math.
Answer:
Step-by-step explanation:
1=
option b= 4
2.
option b=60miles per hour
Hope it helps
Is -5+(p+3) and – 5р — 15 equivalent to each other
Answer:
They are not
Step-by-step explanation:
Because p +3 is 3p and it does not add up to 15.
what is the differnece in meaning between f and f(x)
Answer:f(x) indicates applying the function to the value x and can also represent the actual value obtained by applying the function to x
Step-by-step explanation:
Answer:
f(x) means y
Step-by-step explanation:
You use f(x) when it is representing y in a function
Measure of arc JKM= ???
Answer:
180°
Step-by-step explanation:
JM is the diameter of the circle with center L.
[tex] \huge \red{ \boxed{\therefore m\widehat{(JKM)} = 180\degree}} \\ [/tex]
Answer:
measure of arc JKM = 180°Step-by-step explanation:
JLM is diameter so arc JKM is half of circle
measure of arc JKM = 0.5m•360° = 180°
Solve graphically 6x-3y+10=0 and 2x -y +9 =0
Answer:
Step-by-step explanation:
6x-3y+10=0 ⇒-3y=-6y-10 ⇒ y=-6x/-3 -10/-3⇒ y=2x+10/3
2x -y +9 =0 ⇒ -y=-2x-9 ⇒y=2x+9
y=2x+10/3y=2x+93-12=
please help i do not understand this
Unfortunately, I do not go to Harvard Business School so I am unable to solve this complex equation.
Answer: -9
Step-by-step explanation: you want to take away 12 from 3, which will leave you in the negatives
Can somebody help me with this ?? :)
The answer is C. If the verticle line intersects with the graph more than once, it is NOT a function.
Whitney made 7 1/2 quarts of hot chocolate. Each mug holds 5/6 of a quart. How many mugs
will Whitney be able to fill?
Write your answer as a fraction or as a whole or mixed number.
Answer:
15
Step-by-step explanation:
The total of hot choclate made by Whitney = 7 1/2 quarts.
= 7 (2) + 1 15
----------- = ---
2 2
each mug holds 1/2 quarts
Total quarts of the hot chocolate ÷ quarts of hot choclate hold by each mug:
= 15/2 ÷ 1/2
= 15/2 x 2/1
= 15
Whitney will be able to fill 15 mugs
what is 4 1/2 * 2 1/7 as a mixed number in simplest form?
Answer:
9 9/14
Step-by-step explanation:
[tex]4\frac{1}{2}\times\:2\frac{1}{7}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4\frac{1}{2}=\frac{9}{2}\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{1}{7}=\frac{15}{7}\\\frac{9}{2}\times\frac{15}{7}\\\\\mathrm{Multiply\:fractions}:\\\quad \frac{a}{b}\times\frac{c}{d}=\frac{a\:\times\:c}{b\:\times\:d}\\\\=\frac{9\times\:15}{2\times\:7}\\\\=\frac{135}{14}\\\\[/tex]
[tex]\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{135}{14}\\=9\frac{9}{14}[/tex]