Hello!
[tex]\large\boxed{\text{Infinitely many solutions.}}[/tex]
-3(x - 14) + 9x = 6x + 42
Distribute the coefficient of the parenthesis:
-3(x) - 3(-14) + 9x = 6x + 42
-3x + 42 + 9x = 6x + 42
Combine like terms:
6x + 42 = 6x + 42
Both sides of the equation are the same, therefore:
There are infinitely many solutions.
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Equation have Infinitely many Solutions⠀⠀⠀⠀
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➤ How to solve ?⠀⠀⠀⠀
For solving such problems we need to recall equations .
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When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .
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SolutiOn :➠ - 3 ( x - 14 ) + 9x = 6x + 42
➠ -3x + 42 + 9x = 6x + 42
Now, we will bring the variable on left hand side and constants on right hand side
➠ -3x + 9x - 6x = 42 - 42
➠ -9x + 9x = 42 - 42
➠ 0 = 42 - 42
➠ 0 = 0
As we can see the equation have end with a zero the equation have indefinitely many solutions
➠ Indefinity many solutions
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Derek's truck used 8 gallons of gasoline to travel 320
miles. How far can Darek travel with 1 gallon of gas?
Answer:
40 miles
Step-by-step explanation:
8 gallons = 320 miles
1 = ?
320 miles / 8 gallons = 40
Derek's truck can drive 40 miles on 1 gallon
Answer:
40 miles
Step-by-step explanation:
320/8=40 miles
The price of an item yesterday was $140. Today, the price rose to $238. Find the percentage increase.
%
Answer:
216$
Step-by-step explanation:
Answer:
41.2%
Step-by-step explanation:
[tex]Percentage\ change = (\frac{Final\ Price\ - Initial\ Price}{Final\ Price})100\\\\Percentage\ change=(\frac{238-140}{238})100\\\\Percentage\ change=(\frac{98}{238})100\\\\Percentage\ change=(0.412)100\\Percentage\ change=41.2\\[/tex]
So the percentage increase was 41.2%
Which expressions are equivalent to sqrt root of 32x^6
Yes or No
A.(32x^6)^2
B.(32x^6)^1/2
C.x^3sqrt root of 2^5 D.4x^3sqrt root of 2 E.2x^3sqrt root of 2
F.2 2/5 x 2/6
G.2x^3 sqrt root of 8
H.(2^5x^6)^1/2
PLEASE HELP FIRST WILL GET BRAINIEST Thank you for your time! :)
This oneeeee ty pleaseeee
Answer:
multiple choice?
Step-by-step explanation:
PLEASE HELP FAST WHAT IS THE ANSWER FOR THIS QUESTION I WILL GVIE BRAINLIST AND EXTRA POINTS FOR CORRECT ANSWER THANKS!!
Answer:
f(2) = -3
Step-by-step explanation:
This is the answer because:
1) The question is basically asking what the y-cordinate is.
2) In order to find the y-cordinate, look at the graph and find where 2 is on the x-axis. Then, see wheree the y-coordinate is on the same line a the x-cordinate which is 2.
3) When you line up the cordinates, you can see that where x is 2, y is -3.
Therefore, the answer is -3.
Hope this helps! :D
Help please:):):):):):)
do eat popcorn in a tub
:)
poopy face
PLEASE HELP ASAP!!!!!!!!!!!!!!!!
Answer:
25
Step-by-step explanation:
180-130=50
50/2=25
Answer:
x = 25 degrees
Step-by-step explanation:
the figure is an isosceles triangle
x + x + 130 = 180
2x + 130 = 180
2x = 180 - 130
2x = 50
x = 25 degrees
0=(2y−1)(8−y) Let y=u, y=d. What is the value of u×d
Answer:
The value of uxd=4
Step-by-step explanation:
since y=u, y=d, y=y
y=1/2 and 8
2y-1=0
2y=1
y=1/2
8-y=0
8=y
1/2*8=4
Answer:
4
Step-by-step explanation:
0=(2y−1)(8−y)
Using the zero product property
2y-1 =0 8-y =0
2y =1 8=y
y =1/2 y= 8
Let y=u, y=d
u = 1/2 d = 8
We want the value of u*d
u*d = 1/2 *8 = 4
ONLY ANSWER IF YOU HAVE SOLUTION OR ELSE U WILL BE REPORTED!
How many five-digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2, 3, 4 and 5, without any of the digits getting repeating
a) 15 b) 96
c) 216 d) 120
I am pretty confused with this, kindly explain it in detail and get a brainliest too!
Answer:
there are a total of 120 + 96 = 216, 5 digit numbers divisible by '3' that can be formed using the digits 0 to 5.
there are 6 people at a party
Answer:
wait wut!!!?????????
You are making a salad. The ratio of olives to croutons is 5 : 3. You put 12 croutons in your salad. How many olives do you put in your salad?
Answer:
20
Step-by-step explanation:
12/3 (the number of croutons) = 4
Since 4 is your base number, you would multiply 4 x 5.
20 olives
Answer:
20
Step-by-step explanation:
Ratio of olives : croutons is 5 : 3.
If you put 12 croutons, you put 4 times the amount of croutons in the ratio since 12/3 = 4.
That means you must also put 4 times the number of olives.
4 * 5 = 20
Answer: 20
F is inversely proportional to d 2 . When F = 8 , d = 6 Work out d (positive value rounded to 2 DP) when F = 7
Answer:
d ≈ 6.41
Step-by-step explanation:
Given that F is inversely proportional to d² then the equation relating them is
F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of proportion
To find k use the condition when F = 8, d = 6 , then
8 = [tex]\frac{k}{6^2}[/tex] = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )
288 = k
F = [tex]\frac{288}{d^2}[/tex] ← equation of proportion
When F = 7 , then
7 = [tex]\frac{288}{d^2}[/tex] ( multiply both sides by d² )
d² × 7 = 288 ( divide both sides by 7 )
d² = [tex]\frac{288}{7}[/tex] ( take the square root of both sides )
d = ± [tex]\sqrt{\frac{288}{7} }[/tex] ≈ ± 6.41
The positive value of d is 6.41 ( to 2 dec. places )
Answer:
when F = 7, d = 6.41
Step-by-step explanation:
We know that when 'y' varies inversely with 'x', we get the equation
y ∝ 1/x
y = k/x
where 'k' is called the constant of proportionality
Given that F is inversely proportional to d.
F ∝ 1/d
F = k /d²
When F = 8, d = 6, we need to find k
k = Fd²
k = 8×(6)²=288
Now, we need to find d when F = 7
so substitute k = 288, F = 7 in the equation
F = k /d²
d² = k/F
d² = 288/7
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]d=\sqrt{\frac{288}{7}},\:d=-\sqrt{\frac{288}{7}}[/tex]
but, we need to take the positive value of d, so
[tex]d=\sqrt{\frac{288}{7}}[/tex]
[tex]d=6.41[/tex]
Therefore,
when F = 7, d = 6.41
pls help!!
and pls explain as well, thank you!
f(2)=-2 and f(1)=1 write a linear function
Answer:
[tex]f(x) = -3x+4[/tex]
Step-by-step explanation:
We can use the form [tex]y=mx+b[/tex] to find the linear function.
From [tex]f(2)=-2[/tex] , we can write:
[tex]-2=2m+b[/tex]
From [tex]f(1)=1[/tex] , we can write:
[tex]1=m+b[/tex]
To find for [tex]m[/tex], we can substract the second equation from the first:
[tex]2m+b-(m+b) = -2-1[/tex]
[tex]2m+b-m-b=-3[/tex]
[tex]m=-3[/tex]
To find for [tex]b[/tex], we can use substitution:
[tex]1 = m+b[/tex]
[tex]1 = -3+b[/tex]
[tex]b=4[/tex]
∴ [tex]f(x) = -3x+4[/tex] is the linear function.
Hope this helps :)
If I can read 54 pgs in 3 days, how many can I read in 1 day?
Answer:
18
Step-by-step explanation:
so all you have to do is divide 54 by 3
Consider the polynomial function
g(x) = -x^4 + 2x^3 + 5x^2 – 1.
What is the end behavior of the graph of g ?
Answer: as x > infinity, g(x)> - infinity and as x> - infinity, g(x)> - infinity
Step-by-step explanation:
Left and right ends of the given poynomial function will fall downwards (towards negative infinity).
End behavior of a polynomial: If a polynomial function is f(x) = ax⁴ + bx³ + cx² + dx + eLeading coefficient → a
Degree of the polynomial = 4
If the degree is even and leading coefficient is negative (-), left end and right ends fall downwards.Given in the question,
Poynomial function → g(x) = -x⁴ + 2x³ + 5x² - 1
Degree of the polynomial = 4 (even)
Leading coefficient = -1 (negative)
Therefore, left end of the graph will fall downwards (towards negative infinity) and the right end of the graph will fall downward (towards negative infinity).
Learn more about the end behaviour of a polynomial here,
https://brainly.com/question/12021944?referrer=searchResults
A baker is putting cupcakes on trays to cool. She put 2 cupcakes on the first tray, 4 cupcakes on the second tray, 8 cupcakes on the third tray, 16 cupcakes on the fourth tray, and 32 cupcakes on the fifth tray. If this pattern continues, how many cupcakes will the baker put on the sixth tray?
Answer:
64 cupcakes
Step-by-step explanation:
Tray 1 = 2 cupcakes
Tray 2 = 4 cupcakes
Tray 3 = 8 cupcakes
Tray 4 = 16 cupcakes
Tray 5 = 32 cupcakes
Tray 6 = ?
This is a geometric progression
First term, a = 2
Common ratio, r = 4/2
= 2
6th term = ar^n-1
= 2 × 2^6-1
= 2 × 2^5
= 2 × 32
= 64
The 6th tray will have 64 cupcakes
anyone know? plz help any oen
If f(x) = 9-2 |x+2|, find f(-7).
-15
-1
1
19
Step-by-step explanation:
f(x) = 9 - 2|x + 2|
When x = 7, f(-7) = 9 - 2|(-7) + 2|
= 9 - 2|(-5)|
= 9 - 2(5)
= 9 - 10
= -1.
9514 1404 393
Answer:
-1
Step-by-step explanation:
Put -7 where x is and do the arithmetic.
f(-7) = 9 -2|-7+2|
= 9 -2|-5| = 9 -2·5 = 9 -10
f(-7) = -1
Solve x − y = 5 for y.
Answer:
-y=5-x
Step-by-step explanation:
PLEASE PLEASE HELP 25 POINTS I WILL MARK BRAINLIEST
Answer:
D
Step-by-step explanation:
(3, 9) (-3, 5)
0 is in the middle 7 is in the middle
for x: 3 2 1 0 -1 -2 -3 for y: 9 8 7 6 5
Thus, (0, 7) is the midpoint between (3, 9) and (-3, 5)
Aaliyah learned to play a total of 16 pieces over the course of 8 weeks of piano lessons. After 10 weeks of piano lessons, how many total pieces will Aaliyah be able to play? Solve using unit rates.
Answer:
20
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
:P
Elevate the expression
(28-21) to the 2 power
Help!
Answer:
49
Step-by-step explanation:
28-21=7
7 to the power of two is the same as 7(7)
7(7)=49
The demand for Titos Tacos increased so much that Tito has decided to increase his prices by 10%. Write a single term expression that represents the new price of one of Titos Tacos if the original price was t dollars
Answer:
Concept: Mathematical Representation
They increased their price by 0.10Let y be the new price of one of Titos TacosLet t be the original price Hence y= t * 0.10Help me please I'm not good at math at all.
Answer:36+2 divided by x=A
Step-by-step explanation:
Which system of equations is satisfied by the solution shown on the graph?
Answer:
D
Step-by-step explanation:
To find the system of equations that is satisfied by the solution shown on the graph, we will simply need to find the equations of our two lines.
So, we will begin by finding the slope of each line and then proceed to find the entire equation.
Red Line:
To find the slope, we will first pick any two points from the red line.
Two sample points include (-5, 5) and (-4, 6).
The slope formula is given by:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Lett (-5, 5) be (x₁, y₁) and (-4, 6) be (x₂, y₂). Substitute:
[tex]\displaystyle m=\frac{6-5}{-4-(-5)}=\frac{1}{1}=1[/tex]
Hence, the slope of the red line is 1.
Now, we can find the entire equation. We will use the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We know that the slope m is 1. Hence:
[tex]y=x+b[/tex]
We need to find our y-intercept b. For the red line, we know that when x is -5, y is 5. Hence:
[tex](5)=(-5)+b[/tex]
Solving for b yields:
[tex]b=10[/tex]
Therefore, our entire equation is:
[tex]y=x+10[/tex]
Blue Line:
Again, we will find the slope first.
Picking two points, we get (0, 6) and (1, 5).
Using the slope formula by letting (0, 6) be (x₁, y₁) and (1, 5) be (x₂, y₂), we acquire:
[tex]\displaystyle m=\frac{5-6}{1-0}=\frac{-1}{1}=-1[/tex]
Hence, the slope of the blue line is -1.
Again, we can use the slope-intercept form:
[tex]y=mx+b[/tex]
Fortunately, we already know the y-intercept in this case. Since we have the point (0, 6), the y-intercept b is 6.
Therefore, our equation is:
[tex]y=-x+6[/tex]
So, our two equations are:
[tex]y=x+10\text{ and } y=-x+6[/tex]
Our answers are in standard form, so we will convert the two equations to standard form. Standard form is given by:
[tex]Ax+By=C[/tex]
Where A, B, and C are integers and A is positive.
For the first equation, we can subtract x from both sides to get:
[tex]-x+y=10[/tex]
Since A should be positive, we multiply both sides to get:
[tex]x-y=-10[/tex]
For the second equation, we can add x to both sides:
[tex]x+y=6[/tex]
Hence, our two equations in standard form is:
[tex]x+y=6\text{ and } x-y=-10[/tex]
Therefore, our final answer is D.
Answer: D x + y = 6 and x − y = -10
Step-by-step explanation:
Which expression is equivalent to this expression?
4a + (–6b) – 3a + 2b
Answer:
a−4b
Step-by-step explanation:
=4a+−6b+−3a+2b
Combine Like Terms:
=4a+−6b+−3a+2b
=(4a+−3a)+(−6b+2b)
=a+−4b
I like your cut g ;)
If three cards are drawn at random from a standard deck of 52 cards, what is the probability that they will all be queens?
Answer:
0.01809955% or about 0.018%
Step-by-step explanation:
You do the multiplication of 4/52 by 3/51 by 2/50
can someone help with the equation(s)?
Answer:
Ok this is multiplication so its 30.25
Step-by-step explanation:
5.50 X 5.50 = 30.25
helppppp pleaseeeeeeeeeeeeeeeeeeeee
Answer:
Communicative property is the third one second one is assositave and first one is distributive
Step-by-step explanation: