Answer:
x = 3Step-by-step explanation:
The same bases (9) needs the same exponents to be equal:
[tex]\big9^{2x + 1}=\big9^{3x-2}\quad\iff\quad 2x+1=3x-2\\\\2x+1=3x-2\\\\2x-3x=-2-1\\\\-x=-3\\\\x=3[/tex]
The computation of the indices show that the value of x in 9^(2x + 1) = 9^(3x – 2) is 3.
How to calculate the indices?From the information given, we are told to simply solve 9^(2x + 1) = 9^(3x – 2). In this case, the exponents given are equal which is 9.
Therefore, 2x + 1 = 3x - 2
Collect like terms
3x - 2x = 1 + 2
x = 3
Therefore, the value of x is 3.
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Which of the following is Equivalent to
3x - 4y = 6 ? Solve for y.
Answer:
Y = 3/4X - 3/2
Step-by-step explanation:
3X - 4y =6
3X - 6 =4Y
Y = 3/4X - 3/2
The value of Y for the expression 3x - 4y = 6 will be Y = 3/4X - 3/2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is 3x - 4y = 6. The value for y will be calculated as,
3X - 4y =6
Rearrange the above equation and solve for Y,
3X - 6 =4Y
Y = 3/4X - 3/2
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What is the midpoint between the points (-4, 4) and (7, 7)?
combine like terms: 3x^2+4y-2x^2-x^2
Answer: 4y
Step-by-step explanation:
[tex]3x^{2} + 4y - 2x^{2} -1x^{2}[/tex] To
3x^2 - 2x^2 -1x^2 = 0
0 +4y = 4y
I NEED AN ANSWER NOW!!! This is passed due!!! Dhruv is a car salesman. He is paid a salary of $2,200 per month, plus $500 for each car that he sells. His salary can be modeled by the equation f(x) = 500x + 2200, where x is the number of cars sold. Graph this equation and give its domain and range. A. D: {$500, $2700, $4900, $7100,...} R: {0, 1, 2, 3,...} B. D: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...} C. D: {0, 1, 2, 3,...} R: {$500, $2700, $4900, 7100,...} D. D: {$2200, $2700, $3200, $3700,...} R: {0, 1, 2, 3,...}
Answer:
B. D: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...}Step-by-step explanation:
Given function is
f(x) = 500x + 2200The graph of this function is attached
Domain is input valueRange is output valueCorrect set of domains and ranges of the given function is:
Option BD: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...}PLEASE HURRY, ITS TIMED >>>>...
Answer: the answer is A
Step-by-step explanation:
Let's find 1/8 + 1/2 . First, write the addition so the fractions have denominator . Then add.
Step-by-step explanation:
1/8+1/2make both denominators 8
in 1/2 multiply both the numerator and the denominator by 4to get 4/8
1/8 + 4/8=5/8
Hard question please help. I had to repost because last time I wanted to give more points but I forgot to.
If [tex]\frac{\sin^2 3A}{\sin^2 A} - \frac{\cos^2 3A}{\cos^2 A} = 2[/tex] find what [tex]\cos2A[/tex] is.
Best Answer gets the reaming 15!
Have Fun!
Use the angle sum identities to expand [tex]\sin(3A)[/tex] and [tex]\cos(3A)[/tex]:
[tex]\sin(3A)=\sin(A+2A)=\sin A\cos(2A)+\cos A\sin(2A)[/tex]
[tex]\cos(3A)=\cos(A+2A)=\cos A\cos(2A)-\sin A\sin(2A)[/tex]
Use the double angle identity to expand [tex]\sin(2A)[/tex]:
[tex]\sin(2A)=2\sin A\cos A[/tex]
So we have
[tex]\sin(3A)=\sin A\cos(2A)+2\cos^2A\sin A[/tex]
[tex]\cos(3A)=\cos A\cos(2A)-2\sin^2A\cos A[/tex]
Then divide the first expression by [tex]\sin A[/tex] and the second by [tex]\cos A[/tex]:
[tex]\dfrac{\sin(3A)}{\sin A}=\cos(2A)+2\cos^2A[/tex]
[tex]\dfrac{\cos(3A)}{\cos A}=\cos(2A)-2\sin^2A[/tex]
Squaring these gives
[tex]\dfrac{\sin^2(3A)}{\sin^2A}=(\cos(2A)+2\cos^2A)^2=\cos^2(2A)+4\cos(2A)\cos^2A+4\cos^4A[/tex]
[tex]\dfrac{\cos^2(3A)}{\cos^2A}=(\cos(2A)-2\sin^2A)^2=\cos^2(2A)-4\cos(2A)\sin^2A+4\sin^4A[/tex]
Subtract the second expression from the first to get the original equation. The [tex]\cos^2(2A)[/tex] terms cancel, leaving us with
[tex]4\cos(2A)\cos^2A+4\cos^4A+4\cos(2A)\sin^2A-4\sin^4A=2[/tex]
Now, notice that
[tex]4\cos(2A)\cos^2A+4\cos(2A)\sin^2A=4\cos(2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]
and
[tex]4\cos^4A-4\sin^4A=4(\cos^2A-\sin^2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]
because [tex]\cos^2A+\sin^2A=1[/tex] and [tex]\cos^2A-\sin^2A=\cos(2A)[/tex].
So we're left with
[tex]4\cos(2A)+4\cos(2A)=8\cos(2A)=2\implies\boxed{\cos(2A)=\dfrac14}[/tex]
John went on a bike ride to the store 4 miles away. If it took 3/10 of and hour to get there and 1/2 of an hour to get back, what was his average rate of speed for the entire trip
Answer:
10mph or 10 miles per hour
Step-by-step explanation:
From the question,
John ride 4 miles to the store and 4 miles back
Total distance travelled = 4 miles + 4 miles
= 8 miles
Total time travelled
Time to the store = 3/10 of an hour
Time back from the store = 1/2 of an hour
Total time travelled
= 3/10 + 1/2
= (3 × 2) +(10 × 1)/20
= 6 + 10/20
= 16/20
= 4/5
Total time travelled= 4/5 hour
His average rate of speed for the entire trip formula =
Speed = Total distance travelled (miles)/ Time (hour)
= 8/(4/5)hour
= 8 ÷ 4/5
= 8 × 5/4
= 40/4miles/ hour
= 10 miles/ hour
Therefore, his average rate of speed for the entire trip is 10 miles/hour
angle 2 and angle 4 are vertical angles prove angle 2 is congruent to angle 4
Answer:
use therome 2 and 3 and try it
Answer:
answer in picture
Step-by-step explanation:
Peter draws lines r and s as two distinct parallel lines. Select each statement that is true about lines r and s. Lines r and s have exactly one point in common. Lines r and s form at least one right angle. Lines r and s will never intersect. Lines r and s have no point in common.
=========================================================
Let's go through the answer choices one by one
A) This is false because parallel lines do not cross or intersect. They cannot have a point in common.B) This is false because lines need to cross in order to form a right angle. C) This is true. Parallel lines never intersect. They are the same distance away from one another at any point along either line. One example of parallel lines are the metal tracks in a railroad.D) This is true. Having a point in common means a point is on both lines at the same time, but parallel likes never cross. So they have no points in common.Solve: (5x - 3y + 2z)²
Answer:
25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex] - 12yz + 4[tex]z^{2}[/tex]
Step-by-step explanation:
We multiply it out.
(5x - 3y + 2z) * (5x - 3y + 2z)
5x*5x + 5x*-3y + 5x*2z - 3y*5x - 3y*-3y -3y*2z + 2z*5x +2z * -3y +2z *2z
25[tex]x^{2}[/tex] - 15xy + 10xz - 15xy + 9[tex]y^{2}[/tex] - 6yz + 10xz - 6yz + 4[tex]z^{2}[/tex]
Add like terms
25[tex]x^{2}[/tex] - 15xy - 15xy + 10xz + 10xz + 9[tex]y^{2}[/tex] - 6yz - 6yz + 4[tex]z^{2}[/tex]
25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex] - 12yz + 4[tex]z^{2}[/tex]
I need help with my math to day.♀️
Answer:
8x + 1 + 6x + 5 = 90
14x + 6 = 90
14x = 84
x = 6
<DCB is 6x+5
6(6) + 5
36 + 5
41
Answer:
∠ DBC = 41°
Step-by-step explanation:
∠ DBC + ∠ DBA = 90° , substitute values
6x + 5 + 8x + 1 = 90, that is
14x + 6 = 90 ( subtract 6 from both sides )
14x = 84 ( divide both sides by 14 )
x = 6
Thus
∠ DBC = 6x + 5 = 6(6) + 5 = 36 + 5 = 41°
What is the solution to the equation One-third (x minus 2) = one-fifth (x + 4) + 2? x = 12 x = 14 x = 16 x = 26
Answer:
x = 26
Step-by-step explanation:
1 / 3 (x - 2) = 1 / 5 (x + 4) + 2
1/3x - 2/3 = 1/5x + 4/5 + 2
1/3x - 1/5x = 4/5 + 2/3 + 2
(5x - 3x)/15 = (12 + 10 + 30) / 15
2x / 15 = 52 / 15
2x = 52
x = 52 / 2
x = 26
Answer:
x=26
Step-by-step explanation:
Solve: 3x + 5 - 13x = 25
Answer: x = -2
Step-by-step explanation:
3x+5 -13x =25 combine like terms on the left side
-10x + 5 = 25 Subtract 5 from both sides
-5 -5
-10x = 20 Divide both sides -10
x = -2
Answer:
[tex]x = -2[/tex]
Step-by-step explanation:
If we have the equation [tex]3x+5-13x=25[/tex], we can isolate x on one side and find it's value.
Let's combine like terms.
[tex]-10x + 5 = 25[/tex]
Subtract 5 from both sides:
[tex]-10x + 5 - 5 = 25 - 5\\\\-10x = 20[/tex]
Divide both sides by -10:
[tex]-10x\div-10 = 20\div-10\\\\x = -2[/tex]
So [tex]x = -2[/tex].
Hope this helped!
please i need help quick
ANSWER THIS FAST PLZ
Answer:
the last one
Step-by-step explanation:
yes, because its graph is a line that passes through the origin.
For A, it's true but in a proportional relationship, the coefficient of x can be negative
B and C are obviously wrong
Simply the following expressions:
Answer:
6. (2x - 1)
(3x + 2)
8. y - 3
y² - 3y + 9
Step-by-step explanation:
6. 2x² + 9x - 5
3x² + 17x + 10
= (2x - 1) (x + 5)
3x² + 17x + 10
= (2x - 1) (x + 5)
(3x + 2) (x + 5)
= (2x - 1)
(3x + 2)
8. y² - 9
y³ + 27
= (y + 3) (y - 3)
y³ + 27
= (y + 3) (y - 3)
(y+3) (y² - 3y + 9)
= y - 3
y² - 3y + 9
Answer:
see below
Step-by-step explanation:
6)
2x² + 9x - 5
------------------
3x² + 17x + 10
(2x - 1) (x + 5)
--------------------
3x² + 17x + 10
(2x - 1) (x + 5)
--------------------
(3x + 2) (x + 5)
(2x - 1)
-----------
(3x + 2)
8)
y² - 9
------------
y³ + 27
(y + 3) (y - 3)
--------------------
y³ + 27
(y + 3) (y - 3)
--------------------
(y+3) (y² - 3y + 9)
y - 3
---------------------
y² - 3y + 9
Is 740 divisible by 10?
yes
no
Answer:
yes
Step-by-step explanation:
since it ends with a zero it is divisible by ten. If you take the 0 off of 740 then it would be 74 and 74x10=740
Hope this helps.
There are 10 fifth-grade students attending a class field trip to the city’s art museum. If each admission ticket costs $6, what is the total cost of admission for the 10 students
Answer:
$60
Step-by-step explanation:
10x6=60. 6+6+6+6+6+6+6+6+6+6= 60
Write 5.375 as a mixed number in simplest form
Answer:
5 3/8
Step-by-step explanation:
Step 1:
0.375 = 3/8
Step 2:
5 + 3/8
Answer:
5 3/8
Hope This Helps :)
Solve for x
x to the power of 2 = 49
Solve for the variable x
m = -12g + x
Answer:
x=m+12g
Step-by-step explanation:
m=-12g+x
making x subject of formula, we have,
x=m+12g
Hello there!
Question:-
[tex]\sf \longmapsto \: m = -12g + x[/tex]
We need to find the value of x.
Solution:-
[tex]\sf \: m = -12g + x[/tex]
Firstly, Over turn the equation:-
[tex]\sf \longmapsto - 12g + x = m[/tex]
Then Add 12 g to both sides:-
[tex]\sf \longmapsto - 12g+x+12g=m+12g[/tex]
This equation may be rewritten as :-
[tex]\sf \longmapsto - 12g + 12 g + x = m + 12g[/tex]
On Simplification:-
As (-) and (+) equals to (-),
[tex]\sf \longmapsto \: 1g + x = m + 12g[/tex]
[tex]\sf \longmapsto \: x = m + 12g[/tex]
______________________________________
Henceforth,the value of x is :-
[tex] \boxed{\huge \tt \: x = 12g + m}[/tex]
_______________________________
Please let me know if you have any questions.
~MisterBrian
Help me please it’s practice
(01.01 MC)Which number line shows the solution to 6 + (−6)? A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 12 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 0 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to positive 6 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 12 is shown. PLS HELP ASAP !!!!!! WILL GIVE BRAINLIEST!!!!
Answer:
the first one
Step-by-step explanation: it worked for me i passed it
please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)______.
Answer for the blank is: 10
The exponents are -2, 3 and 9. Note how the bases are all the same at 4x. When we multiply exponential expressions like this, we add the exponents. So we'll get -2+3+9 = 1+9 = 10 as the final exponent over the base 4x
In short,
[tex](4x)^{-2}*(4x)^3*(4x)^9 =(4x)^{-2+3+9} = (4x)^{10}[/tex]
please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)=10
The quotient of forty-five and a number, r
The quotient of 45 and r is 45r . A quotient is the result of a division. For example, 84=2 . So, 2 is the quotient.
Please help!! Which of the following expressions is equivalent to (-7)^5? A)-7x-7x-7x-7x-7 B)-7x5 C)(-7)x7x(-7)x7x-7 D)5x5x5x5x5x5x5
(-7)^5 means that we are multiplying -7 to it self 5 times.
The only option that shows this is option A.
Best of Luck!
Answer:
7x7x7x7x7= 16807 A is correct.
Step-by-step explanation:7(77777) this means 7 is multiplying itself 5 times
Goodluck:)
The Palue of the digit in the hundredths place is
times as great as the digit in the tenths place.
Work it out
hop
Answer:The value of the digit in the hundredths place is 10 times as great as the value of the digit in the tenths place.
Explained: The model shows that your number is 0.11
We have to find what we can multiply to become the 1 in the tenths place. Since they are the same number but in different places, we just multiply it by 10 to change the value.
So, if you multiply 10 by the 1 in the hundredths place, it will get you to the 1 in the tenths place.
♡Hope it helps♡
Help with these 3 I will give u a thanks
Answer:
3.6/5, 4. 9, 5. 11/2
Step-by-step explanation:
3. 2/5/6
= 2× 6/5
= 12/5
4. 7/9/7
= 7× 7/9
= 9
5. 8/11/4
= 8×4/11
= 11/2
hope you understand this answer
sorry if the answer is wrong
The difference of a number n and the number 8 is 42. Which of
the following equations represents this statement?
A)n/8 = 42
B) n - 8 = 42
C)n + 8 = 42
D) 8n = 42
E) n = 5
Answer:
B) n-8=42
Step-by-step explanation:
"difference" means subtraction.
the number is represented by "n" in this problem.
"and" indicates where the symbol goes.
"is" means "=".
The equation that represents the given statement should be n-8 = 42.
Given that
The number n and the number 8 difference should be 42.Based on the above information,
We know that the difference means subtraction.
So, the following equation should be made.
n - 8 = 42
Therefore we can conclude that The equation that represents the given statement should be n-8 = 42.
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