How many solutions exist for the given equation? (x + 12) = 4x - 1 o zero infinitely many
please tell me the answer
Answer: D
Step-by-step explanation:
I solved it:)
The temperature has been dropping 2 degrees every hour and the current temperature is -15°F. How many hours ago was the temperature 0°F?
Answer: 6 1/2
Step-by-step explanation:
six and 1 half of a hour
Solve the system of equations.
\begin{aligned} &-6y+11x = -36 \\\\ &-4y+7x=-24 \end{aligned}
−6y+11x=−36
−4y+7x=−24
Answer:
The solutions to the system of equations will be:
[tex]y=6,\:x=0[/tex]
Step-by-step explanation:
Given the equation
[tex]-6y+11x=-36[/tex]
[tex]-4y+7x=-24[/tex]
solving the system of equations
[tex]\begin{bmatrix}-6y+11x=-36\\ -4y+7x=-24\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-6y+11x=-36\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-12y+22x=-72[/tex]
[tex]\mathrm{Multiply\:}-4y+7x=-24\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:-12y+21x=-72[/tex]
[tex]\begin{bmatrix}-12y+22x=-72\\ -12y+21x=-72\end{bmatrix}[/tex]
[tex]-12y+21x=-72[/tex]
[tex]-[/tex]
[tex]\underline{-12y+22x=-72}[/tex]
[tex]-x=0[/tex]
[tex]\begin{bmatrix}-12y+22x=-72\\ -x=0\end{bmatrix}[/tex]
solving for x
[tex]-x=0[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]
[tex]\frac{-x}{-1}=\frac{0}{-1}[/tex]
[tex]x=0[/tex]
[tex]\mathrm{For\:}-12y+22x=-72\mathrm{\:plug\:in\:}x=0[/tex]
[tex]-12y+22\cdot \:0=-72[/tex]
[tex]-12y+0=-72[/tex]
[tex]-12y=-72[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-12[/tex]
[tex]\frac{-12y}{-12}=\frac{-72}{-12}[/tex]
[tex]y=6[/tex]
Therefore, the solutions to the system of equations will be:
[tex]y=6,\:x=0[/tex]
A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0$, she always takes a step $1$ unit to the right, but, from any positive position on the line, she randomly moves left or right $1$ unit with equal probability. What is the expected number of times the mosquito will visit $0$ before the first time she visits $4$?
The expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.
Given that repeatedly throwing a fair tetrahedral die, trying to get a 4 (success) before getting a number from 1 to 3 (failure), which follows a geometric distribution.
To find the expected number of visits to 0 before reaching 4, analyze two cases:
success (reaching 4 before 0) and failure (reaching 0 before 4).By the given data, the probabilities of two cases are:
P(success) p = 1/4,
P(failure)=3/4.
The expected count of failures, X, can be found in terms of success probability p as
[tex]E[X]=\sum_{x=0}^{+\infty}[x(1-p)^xp][/tex]
On substituting p = 1/4 gives:
[tex]E(X) = 0(1/4)+1(3/4)(1/4)+2(3/4)^2(1/4)+3(3/4)^3(1/4)+.........[/tex]
On taking (1/4) gives
[tex]E(X) = 1/4[3/4+(3/4)^2+(3/4)^3+......+\infty]----(1)[/tex]
Consider [tex]3/4+(3/4)^2+(3/4)^3+......+\infty[/tex]
This forms a geometric series tends to infinity and the sum is given by :
[tex]S_\infty = a/(1-r)[/tex]
Here: a= 3/4
r = 3/4
Plugging these values into formula gives:
[tex]3/4+(3/4)^2+(3/4)^3+......+\infty = S_\infty[/tex]
[tex]S_\infty= 3/4/(1-3/4)[/tex]
On subtracting the denominator gives:
= 3/4/(1/4)
On taking reciprocal gives:
= 3/4 * 4
On simplifying gives:
= 3
Substituting these value into given equation 1 gives:
E(X) = 1/4*[3]
On multiplying gives:
E(X) = 3/4.
Therefore, the expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.
Learn more probability about here:
https://brainly.com/question/23846068
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On a spelling quiz, Lily got 16 out of 20 questions correct. Select all the expressions that show the ratio of Lily’s correct answers to incorrect answers.
Answer:
ACD
Step-by-step explanation:
VNQLW3M2L,Q;KJ52KQ
How do I solve this equation?
Answer:
x = ± [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]|a|= \left \{ {a,if{a\geq 0} \atop-a, if {a<0}} \right.[/tex]
~~~~~~~~~~~~
7 | 3x | + 2 = 16
7 | 3x | = 14
| 3x | = 2
1). 3x = 2
x = [tex]\frac{2}{3}[/tex]
2). - 3x = 2
x = - [tex]\frac{2}{3}[/tex]
will give brainliest!!! hurry up and solve it plzz
Answer:
8
Step-by-step explanation:
we can say that AD is congruent to DC
so your equation for x is: 4x - 1 = 2x
solve this to get x = 0.5
plug x into and equation and multiply you answer by 2 to find the hypotenuse of triangle ABC and DEF
4(0.5) - 1 = 1
hypotenuse: 1 x 2 = 2
since we know x is 0.5, plug this into 4x + 1 to find the length of the leg FE,
4(0.5) + 1 = 3
In the diagram, it shows that the legs of triangle are congruent
this means that FE, ED, BA, and BC are all congruent
since we know FE is 3, we know that all the other sides are 3 as well
this means that the perimeter of the triangle is: leg + leg + hypotenuse
so 3 + 3 + 2
the perimeter is 8
Solve for x pls help ASAP
Answer:
133
Step-by-step explanation:
If you need an explanation please tell me.
Write the equation of a line that passes through (-4, 5) and (-4, 11)
Answer:
x=-4
Step-by-step explanation:
Both points are on same line x=-4
Which of the following properties is shown in the equation below? 3 × ( 6 × 2 ) = ( 3 × 6 ) × 2
distributive property
multiplicative identity property
associative property of multiplication
commutative property of multiplication
Answer:
Associative Property
Step-by-step explanation:
:)
Tell whether 15/7 and 16/8 form a proportion yes or no
Answer:
yesStep-by-step explanation:
it can be written either as 15/7 or 15:7 to be a proportion, same goes for 16/8 and 16:8
Answer:No.
Step-by-step explanation:15 x 8 is 120 and 16 x 7 is 112 which isn’t equivalent
THANK YOU IF U HELPED!!!
Answer:
Step-by-step explanation:
Grove City = 45,032
Franklin = 41,064
Franklin < Grove City
5 thousands > 1 thousand
i need help asap !!!
Answer:-15/28
Step-by-step explanation:
2/1*x5/7x-3/8=-30/56 ÷2=-15/28
Is the relation in the mapping below a function? Explain.
Domain
1,3,5,7
Range
2,4,6
Answer: No
Step-by-step explanation:
The range and the Domain aren’t equal
Which of the following is equivalent to 5x − 6y = 8?
A. y = -5/6x
B. y = 6/5x + 2
C. y = 5/6x - 4/3
D. y = 8/11x
Answer:
b
Step-by-step explanation:
hi i really need help!!
Answer:
GH = 12, JH = 8, GJ = 10.6, your answer is the first choice
Step-by-step explanation:
Mid-segment theorem basically means it's like cut in half so just apply that logic to the entire thing:
DG = GF and IH = HF
DI length, 24, divided by two, because half, equals 12 so 12 = GH
JH is DF divided by two so basically 16/2 which is 8 which also equals DG
GJ = IH because like I said half half theory
Essentially, all the parallel lines are halves of each other.
GH = 12, JH = 8, GJ = 10.6, your answer is the first choice
Byron's MP3 player holds 75 songs. He has space for 26 more songs. Write an equation to find how many songs are already on Byron's MP3 player.A.) 75 + s = 26 B.)75/s = 26 C.) 26s = 75 D.)s + 26 = 75
Answer:
D
Step-by-step explanation:
let the number of songs Byron have be s songs.
s + 26 = 75
Answer:
D
Step-by-step explanation:
s= number of songs played.
s+26=75
s-26=75-26
s=49
$482.56 divided by 8
Answer:
your answer would be $60.32
what is the measure of <x
Answer:
X=17
Step-by-step explanation:
73+x=90 90-73=17
i'm doing a math worksheet and its asking me to describe the stair of a slope. what does that mean??
Answer:
i believe its the rise and the run of the slope.
Step-by-step explanation:
i believe its something similar to this photo
180 in the ratio 1:3:4
Answer:
let 1:3:4 be written as x:3x:4x
therefore, x+3x+4x = 180
8x = 180
x = 180/8
x = 22.5
therefore, x = 22.5
3x = 22.5 * 3 = 67.5
4x = 22.5 * 4 = 90
Hope it helped u,
pls mark this as brainliest
and put thanks
^_^
A cuboid with a volume of 925cm^3 has dimensions.
4cm, (x + 1) cm and (x + 11) cm.
Show clearly that x^2 + 12x - 220 = 0
Solve the equation by factorising, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.
Answer:
Step-by-step explanation:
Volume of the cuboid = Length * Width * Height
Given
Length = 4cm
Width = (x+1)cm
Height = (x-11)cm
Volume of the cuboid = 4(x+1)(x+11)
Volume of the cuboid = 4(x^2+11x+x+11)
Volume of the cuboid = 4(x^2+12x+11)
Volume of the cuboid = 4x*2+48x+44
925 = 4x*2+48x+44
4x*2+48x+44-925 = 0
4x*2+48x-881 = 0
Divide through by 4
x^2 + 12x - 220.25 = 0
Factorize using the general formula;
x = -12±√12²-4(-220.25)/2
x = -12±√144+881/2
x = -12±√1025/2
x = -12±32/2
x = 12+32/2
x = 20/2
x = 10
Hence the dimension of the cuboid is 4cm, (10+1)cm and (10+11)cm
Dimension is 4cm by 11cm by 21cm
What is 400,000 in scientific notation?
O A) 40 x 104
OB) 400 x 103
OC) 4 x 106
OD) 4 x 105
Answer:
4 x 10⁵
so that i think will be OD)
The points in each table lie on a line. Find the slope of the line.
O 1/2
O 1
O 2
O None of the above
Answer:
1
Step-by-step explanation:
Given table:
x -1 1 3 5
y -2 0 2 4
Unknown:
Slope of the line = ?
Solution:
Each x and y pair on the table lies on the line. Therefore, we can use them to find the slope;
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
let us take;
x₁ = -1 x₂ = 3
y₁ = -2 y₂ = 2
Insert the parameters and solve;
Slope = [tex]\frac{2 - (-2)}{3- (-1)}[/tex] = [tex]\frac{4}{4}[/tex] = 1
The slope of the line is 1
can i have help i give you brainlest
Answer:
x = 12 or 12:204
Step-by-step explanation:
You have to set it up like this....
Just cross multiply.
[tex]\frac{3}{51}*\frac{x}{204}[/tex]
You'll multiply
3*204 = 612
51*x = 51x
612 = 51x (divide by 51 on both sides)
12 = x
12:204
Hope this helps!!!
ASAP FOR BRAINLIEST!
Answer:
Slope is -1/4
Step-by-step explanation:
Goes down 1 and over 4 so -1/4
A pound of chocolate cost six dollars . Donna buys P pound. Write an equation to represent the total cost c that Donna pays 
Answer:
c = 6P
Step-by-step explanation:
equation format: c = mP
c = the total cost Donna pays
m = the cost per pound of chocolate(6)
P = the amount of pounds Donna buys
Since we know the cost per pound is $6, we can input it into the equation format:
c = 6P
Now we have an equation that represents the total cost (c) that Donna pays for P pounds.
Let C = total cost that Donna pays.
Donna buys P pound at $6 per pound tells me to multiply.
C = 6P.
Understand?
Use the elimination method to solve the system of equations. Choose the correct ordered pair. 2y = x + 2 x - 3y= -5 O A. (2, 2) O B. (4,3) O C. (6,4) O D. (8,5)
Answer:
(4,3)
Step-by-step explanation:
2y = x + 2
x - 3y = -5
Rearrange the second equation to equal y.
x - 3y = -5
x + 5 = 3y
(x+5)/3 = y
Substitute into the first equation.
2y = x +2
2[(x+5)/3] = x + 2
(2x + 10)/3 = x + 2
2x + 10 = 3(x + 2)
2x + 10 = 3x + 6
10 - 6 = 3x - 2x
4 = x
Therefore, the correct ordered pair is (4,3) since x is equal to 4.
Here are the percents of the popular
vote won by each successful candidate
in 15 presidential elections.
49.6, 55.1, 57.4, 49.7, 61.1, 43.4,
60.7, 50.1, 50.7, 58.8, 53.9, 43.2,
49.2, 47.9, 51.2
What is the median?
Ok, you should first order every number in the regular order (1,2,3,4,5,6,7,and so on) or (1.2,1.3,2.4,5.9).
43.2, 43.4, 47.9, 49.2, 49.6, 49.7, 50.1, 50.7, 51.2, 53.9, 55.1, 57.4, 58.8, 60.7, 61.1.
Median means the exact middle and here there are total of 15 different numbers so we know this is going to be easier if this was even. 50.7 is the median because it is in the middle and there are an even number of numbers on each side to it, 7.
Answer: just to make it clear for people
it is 50.7