Answer:
First lets subtract 3 from both sides. That gives us 5x = 7x-4. Then lets move the -4 to the other side reversing the sign. 5x+4=7x. Now lets subtract 5x from both sides. That will give us 2x = 4. Now all we need to do as a last step is divide by 2. That will give us x = 2. That is how you solve it in a nutshell
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Given the function f(x) = -5|x + 1|+ 3, for what values of x is f(x) = -12?
x = -2, x = -4
x = -2, x = 4
x = 2, x = -4
x = 2, x = 4
Answer:
x =2 x = -4
Step-by-step explanation:
-5|x + 1|+ 3 = -12
Subtract 3 from each side
-5|x + 1|+ 3-3 = -12 -3
-5|x + 1| = -15
Divide each side by -5
-5/-5|x + 1| = -15/-5
|x + 1| = 3
Since this is an absolute value, we have two solutions one positive and one negative
x+1 = 3 x+1 = -3
Subtract 1 from each side
x+1-1 = 3-1 x+1-1 = -3-1
x =2 x = -4
Answer:
the answer is c
Step-by-step explanation:
You find a rock containing a mixture of the element and lead. You determine that 30% of the original element remains; the other 70% decayed into lead. How old is the rock?
The complete question is:
A certain element has a half life of 4.5 billion years.
You find a rock containing a mixture of the element and lead. You determine that 30% of the original element remains; the other 70% decayed into lead. How old is the rock?
Answer:
Age of rock = 7.82 billion years
Step-by-step explanation:
For a first order decay, fraction remaining is given by the formula 0.5n where n = number of half lives elapsed.
We are given that;
fraction remaining = 30% = 0.3
Thus;
0.3 = 0.5n
To find n, we have to use the log function;
log 0.3 = n log 0.5
-0.5229 = -0.301 n
n = -0.5229/-0.301
n = 1.737
We are given that;
Half life = 4.5 billion years
So, 1.737 half lives would give;
1.737 × 4.5 = 7.82 billion years
So, age of rock = 7.82 billion years
Calculate the surface area and the volume of the cylinder.
Pls!! Show how you got the surface area and volume
Step-by-step explanation:
Surface area of a cylinder:
A = (2 x pi x r x h) + (2 x pi x r^2)
(2 x pi x 5 x 25) + (2 x pi x 5^2)
785.3981 + 157.0796 = 942.4777cm^2
Volume of cylinder:
V = pi x r^2 x h
pi x 5^2 x 25 = 1963.4954cm^3
Write 0.245bar in the form p/q
Answer:
245/999
Step-by-step explanation:
0.245bar = n
1000 n - n = 245
999n = 245
n = 245/999
-4x - 3(2x + 8) = 36 solve for x
Answer:
x = -6
Step-by-step explanation:
-4x - 3(2x + 8) = 36
-4x - 6x - 24 = 36
-10x = 60
-x = 6
x = -6
Answer:
[tex]x = - 6[/tex]
Step-by-step explanation:
[tex] - 4x - 3(2x + 8) = 36 \\ - 4x - 6x - 24 = 36 \\ - 10x = 36 + 24 \\ - 10x = 60 \\ \frac{ - 10x}{ - 1 0} = \frac{60}{ - 10} \\ x = - 6[/tex]
hope this helps
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good luck! have a nice day!
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Find the value of x in the isosceles triangle shown below
Thank you!
which law would you use to simplify the expression (p/q)^3
Answer:
Step-by-step explanation:
A horizontal boxplot is plotted along a horizontal axis marked from 70 to 150, in increments of 5. A left whisker extends from 80 to 90. The box extends from 90 to 115 and is divided into 2 parts by a vertical line segment at 105. The right whisker extends from 115 to 130. All values estimated. A horizontal boxplot is plotted along a horizontal axis marked from 70 to 150, in increments of 5. A left whisker extends from 80 to 90. The box extends from 90 to 115 and is divided into 2 parts by a vertical line segment at 105. The right whisker extends from 115 to 130. All values estimated. The box plot suggests that about 50\%50%50, percent of high schools in Orange County have more than what number of band members? Choose 1 answer:
Answer:
The correct option is;
105 band members
Step-by-step explanation:
The 5 values are
Minimum value = 80
Q₁ = 90
Q₂ = 105
Q₃ = 115
Maximum value = 130
Whereby the horizontal axis indicates the number of band members is a school, while the 5 values of the box plot are the percentiles of the schools in Orange County and also that the lines are graduated in increments of 5, we have that the median = 105 which is the 50% mark, therefore;
50% of high schools in Orange County have more than 105 band members.
Answer:
The answer would be 105
Step-by-step explanation:
I got this right on Khan Academy <33
HELPPPPP
What are the coordinates of the hole in the graph of the function?
f(x)=x^2−3x−10/x−5
Enter your answer in the boxes.
Answer: If the function is: f(x) = (x^2−3x−10)/(x−5) The function has no holes.
If the function is f(x) = x^2−3x−10/x−5 then the hole is at x = 0 (the left side goes up, and the right side goes down, as the numerator is a negative number)
Step-by-step explanation:
I am not shure of what is the function, as you used no parentheses in it, so i will solve it for two different functions:
We have the function:
f(x) = (x^2−3x−10)/(x−5)
We want to find the "hole", this means that we want to find the value of x where the denominator is equal to zero.
If you look at the function, is easy to think that in x = 5 the denominator will be equal to zero, but we need to prove it.
First, we need to see if the numerator part is also zero when x = 5.
so
5^2 - 3*x - 10 = 25 -15 - 10 = 0
Ok, let's find the other root of the quadratic function:
x^2 - 3*x - 10 = (x - 5)*(x - b) = x^2 - (b + 5)*x + (b*5)
then we have: (b + 5) = 3 and b*5 = -10
then b = -2, this means that we can write the numerator part as:
x^2 - 3*x - 10 = (x - 5)*(x + 2)
then our function is:
f(x) = (x - 5)*(x + 2)/(x - 5) = x + 2
This function has no holes.
Now, if the function actually is:
f(x) = x^2−3x−10/x−5
Then we have an x on the denominator of the third term of the equation, this denominator is 0 only when x = 0
simplify (a+b)^3 + (a-b)^3 + 6a(a^2-b^2)
Answer:
8a^3.
Step-by-step explanation:
(a+b)^3=a^3+b^3+3a^2b+3ab^2
(a-b)^3=a^3-b^3-3a^2b+3ab^2
(a+b)^3+(a-b)^3=2a^3+6ab^2
According to the question
(a+b)^3+(a-b)^3+6a(a^2-b^2)
Put in the value
=2a^3+6ab^2 +6a^3–6ab^2
=8a^3
In the simplest form expression (a + b)³ + (a - b)³ + 6a(a² - b²) can be written as, 8a³
What are algebraic identities?Algebraic identities are algebraic equations that are true regardless of the value of each variable. Additionally, they are employed in the factorization of polynomials. Algebraic identities are employed in this manner for the computation of algebraic expressions and the solution of various polynomials.
Given that,
A algebraic identity,
(a + b)³ + (a - b)³ + 6a(a² - b²)
It is known that,
(a + b)³ = a³ + b³ + 3ab(a + b)
(a - b)³ = a³ - b³ - 3ab(a - b)
So, now we can substitute expressions
(a + b)³ + (a - b)³ + 6a(a² - b²)
a³ + b³ + 3ab(a + b) + a³ - b³ - 3ab(a - b) + 6a(a² - b²)
a³ + b³ + 3a²b + 3ab² + a³ - b³ -3a²b + 3ab² + 6a³ - 6ab²
8a³
Hence, the simplest form is 8a³
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A website offers a coupon such that each customer has a 15\%15%15, percent chance of getting the coupon each day they visit the site. Aya visits the website for 666 consecutive days.
Answer:
0.62
Complete question:
What is the probability that at Aya will be offered a coupon on at least one of the days she visits the website?
Step-by-step explanation:
assuming,
A: Aya gets a coupon one day. P(A) = 0.15
B: Aya doesn't get a coupon one day. P(B) = 1 - 0.15 = 0.85
Aya doesn't get a coupon in any of 6 days = P(B)^6 = 0.85^6 = 0.38
The probability of Aya getting at least 1 coupon after 6 days is the complement of don't getting any coupon after 6 days, that is:
1 - P(B)^6= 1 - 0.38 = 0.62
how is converting percentages to and from fractions and decimals used in daily life
Answer & Step-by-step explanation:
We use decimals every day while dealing with money, weight, length etc. Decimal numbers are used in situations where more precision is required than the whole numbers can provide. For example, when we calculate our weight on the weighing machine, we do not always find the weight equal to a whole number on the scale.
A tennis ball is launched from the ground and follows a parabolic path represented by the equation y=−x2+7x, where x=seconds.At the same time, an arrow is shot from a height of 18 feet and follows a straight path represented by the equation y=−5x+25.Using your graphing calculator, when will the arrow pierce the tennis ball and a what height off of the ground?
Evaluate x^0+ y^0 for x = 3 and y = 2.
0
1 5 2
Answer:
2
Step-by-step explanation:
x^0+ y^0
Let x = 3 and y = 2
3^0 + 2^0
Raised to the 0 power is 1
1 + 1
2
Answer:
the answer is 1, this is correct
Step-by-step explanation:
Lisa walks at a speed of 3.25 miles per hour for 1.5 hours. How many miles does she walk in all?
Answer: 5.25 miles
Step-by-step explanation:
Which statements accurately describe the function f(x) = 3(18)*? Select three options.
O The domain is all real numbers.
The range is y> 3.
The initial value is 3.
The initial value is 9.
The simplified base is 372.
Answer:
Step-by-step explanation:
Without the variable x, your "f(x) = 3(18)*" is not a function. If you meant
f(x) = 3(18)^x, then the domain is "the set of all real numbers," and the range is (0, infinity).
the initial value is 3: f(0) = 3(18)^0 = 3(1) = 3
The solution is: statements accurately describe the function f(x) = 3(18)* are:
The domain is all real numbers.
The initial value is 3.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Without the variable x, your "f(x) = 3(18)*" is not a function.
If you meant
f(x) = 3(18)^x,
then the domain is "the set of all real numbers,"
and the range is (0, infinity).
the initial value is 3:
f(0) = 3(18)^0 = 3(1) = 3
Hence, The solution is: statements accurately describe the function f(x) = 3(18)* are:
The domain is all real numbers.
The initial value is 3.
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I will mark it as brainliest whoever has the clearest explanation
Answer:
44 cm
Please see the attached picture for full solution
Hope it helps....
Good luck on your assignment
Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer the question. Original data Line of "best guess" Line of best fit Mph greater than speed limit Number of citations Outputs Residuals Outputs Residuals 5 3 7.5 6 10 10 15 5 20 6 Use a calculator or online resource to find the line of best fit. Note that values have been rounded. y = 0.7 x - 5.2 y = 0.7 x + 5.2 y = 0.07 x + 5.2 y = 0.07 x - 5.2
Answer: ŷ = 0.07X + 5.2
Step-by-step explanation:
Given the following :
Number of citations 5 - 7.5 - 10 - 15 - 20
Outputs Residuals 3 - - 6 - - 10 - 5 - - 6
Using the online regression calculator :
Line of best fit is represented by the equation:
ŷ = 0.06897X + 5.2069
ŷ = 0.07X + 5.2
From the line equation:
y = mx + c
With 0.07 = slope of gradient(m)
Intercept (c) = 5.2 (point where the line of best fit intersect the y_axis
x and y are values of x and y respectively
Can somebody explain to me how to find vertex form from a graph?? I put an example graph if you need it :)))
Answer:
y = - 4(x + 3)² + 7
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
From the graph (h, k ) = (- 3, 7 ), thus
y = a(x + 3)² + 7
To find a we require a point on the graph other than the vertex
Using (- 2, 3) , substitute into the equation
3 = a(- 2 + 3)² + 7
3 = a + 7 ( subtract 7 from both sides )
a = - 4
Thus
y = - 4(x + 3)² + 7 ← in vertex form
What is the value of x when in the equation 3x-4y=65
Answer:
21.66666667
Step-by-step explanation:
3x-4(0)=65
3x=65
x=21.66666667
You replace y wil 0 when you are sovling for x
Can someone please do the probability please
Answer:
47/73
Step-by-step explanation:
There are 73 people who like tea. 47 are women, 26 are men. This means that the probabili that the person chosen is a women is 47 out of the 73.
Please help! Correct answer only please! I need to finish this assignment by today.
At a T-shirt stand on the boardwalk, 7 of the last 14 shirts sold were green. What is the experimental probability that the next shirt sold will be green?
Simplify your answer and write it as a fraction or whole number.
P(green) =
Answer:
1/2
Step-by-step explanation:
Since there are a total of 14 t shirts and 7 of them were green, the experimental probability that the next one is also green is 7/14=1/2. Hope this helps!
Sean began jogging to live a healthier lifestyle. In his first run he ran one half mile he increased his workouts by adding two miles a month to his run he wrote the equation f(x)=0.5+2x to model his progress the variable x represents the number of___?
Answer:
Step-by-step explanation:
The words "two iles a month" tells us that the expression represened by those words is the "2x" part of the equation. x represents the number of months. The .5 part tells us that he began this process with a half mile.
May you help me with this question please
Answer:
C. x < 10
Step-by-step explanation:
2x - 8 < 12
Add 8 to both sides
2x < 20
Divide both sides by 2
x < 10
Answer:
Option C
Step-by-step explanation:
We are given the inequality 2x - 8 < 12,
[tex]2x - 8 < 12,\\2x < 20,\\x < 10\\\\Conclusion - Option C[/tex]
As you can tell, for the first step we added 8 on either side of the inequality sign, resulting with the cancelation of 8, and the addition of 8 and 20. Dividing 2 on either side of this simplified inequality, we resulted in x < 10. Note that if we were to divide by a negative value, this less than sign would be taken as a greater than sign ( same rule applies for the multiplication of a negative number ).
Solution ⇒ Option C
determine whether the systems have one solution, no solution, or infinitely many solutions
3x-2y=3;6x-4y=1
3x-5y=8;5x-3y=2
3x 2y=8;4x 3y=1
3x-6y=3;2x-4y=2
3x-4y=2;6x-8y=1
Answer:
First system: no solution
Second system: one solution
Third system: one solution
Fourth system: infinite solutions
Fifth system: no solution
Step-by-step explanation:
First system: 3x-2y=3; 6x-4y=1
From the first equation: y = (3x - 3)/2
Using this value of y in the second equation:
6x - 6x + 6 = 1
6 = 1 -> System has no solution
Second system: 3x-5y=8; 5x-3y=2
From the first equation: x = (8 + 5y)/3
Using this value of x in the second equation:
5*(8 + 5y) - 9y = 6
40 + 25y - 9y = 6
16y = -34 -> y = -2.125
x = (8 - 5*2.125)/3 = -0.875
This system has one solution
Third system: 3x-2y=8; 4x-3y=1
From the first equation: x = (8 + 2y)/3
Using this value of x in the second equation:
4*(8 + 2y) - 9y = 3
32 + 8y - 9y = 6
y = 26
x = (8 + 2*26)/3 = 20
This system has one solution
Fourth system: 3x-6y=3; 2x-4y=2
From the first equation: x = 1 + 2y
Using this value of x in the second equation:
2*(1 + 2y) - 4y = 2
2 + 4y - 4y = 2
2 = 2
This system has infinite solutions
Fifth system: 3x-4y=2; 6x-8y=1
From the first equation: x = (2 + 4y)/3
Using this value of x in the second equation:
2*(2 + 4y) - 8y = 1
4 + 8y - 8y = 2
4 = 2
This system has no solution
Find the y-intercept of the following equation. Simplify your answer.
y = 10x + 5
y-intercept=
9x (-2y + 5x) - 4 xy (6x-3y) please the person who answers will be marked as brainliest. please show working
Answer:
See explanation
Step-by-step explanation:
[tex]9x(-2y+5x)-4xy(6x-3y)[/tex]
By the distributive property this is equal to:
[tex]9x(-2y)+9x(5x)-4xy(6x)-4xy(-3y)=\\\\-18xy+45x^2-24x^2y+12xy^2[/tex]
Hope this helps!
Find the gradient of the line segment between the points (-2,3) and (2,4). Give your answer in its simplest form.
Answer:
slope = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 4)
m = [tex]\frac{4-3}{2+2}[/tex] = [tex]\frac{1}{4}[/tex]
Joe needs to replace the carpet in his living room and hallway with laminate flooring. A floor plan is shown below. Can you help him to find the total area of floor that needs to be covered?
*diagram of floor plan is attached below
Answer:
30m²
Step-by-step Explanation:
From the floor plan shown in the attached diagram, the hall way and the living room both takes the shape of a rectangle.
To find the total area of floor to be covered, we can use the formula of the area of a rectangle to find the area of the hall way + the area of the living room.
Area of rectangle = L*B
For the hall way, L = 3.2m, B = 1.5m
Area of hall way = 3.2*1.5 = 4.8m²
For the living room, L = 6m, B = 4.2m
Area of Living room = 6*4.2 = 25.2m²
Therefore, area of floor to be covered = 4.8m² + 25.2m² = 30m²
Answer:
30m²
Step-by-step explanation:
