Answer:
4(x-5)(3x² +1)
Step-by-step:
Add and subtract the second term to the expression and factor by grouping.
Hope this helps!
find the midpoint of the line segment that has endpoints at (10,8) (-3,-10)
Hey there! :)
Answer:
(3.5, -1).
Step-by-step explanation:
Use the midpoint formula to solve this problem:
[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Plug in the coordinates given:
[tex](\frac{10-3}{2}, \frac{8-10}{2})[/tex]
Simplify:
[tex](\frac{7}{2}, \frac{-2}{2})[/tex]
Therefore, the coordinates of the mid-point are:
(3.5, -1).
The box plots show the average speeds, in miles per hour, for the race cars in two different races. Average Speeds of Cars in Race A 2 box plots. The number line goes from 120 to 170. For Race A, the whiskers range from 120 to 170, and the box ranges from 143 to 165. A line divides the box at 153. For Race B, the whiskers range from 125 to 165, and the box ranges from 140 to 150. A line divides the box at 145. Average Speeds of Cars in Race B
Answer:
The median speed in race A is about 153 miles per hour, and the median speed in race B is about 145 miles per hour.
Step-by-step explanation:
For comparison, we need to analyze and compare both races data which are as follows
For Race A
Maximum range = 170 miles per hour
Minimum range = 120 miles per hour
First quartile ≈ 142 miles per hour
Median quartile ≈ 153 miles per hour
It comes from
[tex]= \frac{142\ miles + 165\ miles}{2}[/tex]
= 153 miles
The Third quartile = 165 miles per hour
For Race B
Maximum range = 165 miles per hour
Minimum range = 125 miles per hour
First quartile ≈ 139 miles per hour
Median quartile = 145 miles per hour
It comes from
[tex]= \frac{139\ miles + 150\ miles}{2}[/tex]
= 145 miles
The third quartile = 150 miles per hour
Hence, the last option is correct
1
11 Kenzie monitors her investment on a technology
stock. She uses the expression 2013e2+, where t
is the time in years, to estimate the future value
of the stock. What is the meaning of 2013 in this
context?
A. beginning year
B. invested amount
C. future value
D. annual growth rate
Answer:
B
Step-by-step explanation:
The term 2013 in this context refers to the amount invested.
Mathematically, in finance, we can express the amount to be recouped on an investment, having a particular rate of return over a couple of years using the general formula;
V = P(1+r)^t
Such as in the case of amount obtained in a compound interest formula
Where P is the present value or principal or amount invested
V is the future value
r is the rate of investment
with t being the time taken
Find the value of x
2x + 46 = 7x + 6
Answer:
7x-2x = 46-65x = 40 x = 40/5 x =8 ......hope it helps .........Answer:
so x=8
Step-by-step explanation:
2x+46=7x+6
subtracting 7x on both sides
2x-7x+46=7x-7x+6
-5x+46=6
subtracting 46 on both sides
-5x+46-46=6-46
-5x=-40
5x=40
x=8
i hope this will help you :)
Find X. Do not round your Answer
Answer:
83/5, 16.6, 16 3/5
Step-by-step explanation:
When two secant segments are drawn to a circle from an external point, the product of one secant segment and its external segment equals the product of the other secant segment and its external segment.
6 times 18 = 5(5+x)
The total secant segment is 6+12=18
so one side = 6 times 8.
The line from the circle (but not inside) is 5.
You don't know the entire segment, but you do know that 5 is part of it. Hence 5 times (5+x).
Sorry for the trashy explanation.
Answer:
16.6Step-by-step explanation:
The model below represents 2x+1=-X+4.
Answer:
x=1.
Step-by-step explanation:
2x + 1 = -x + 4
+x - 1 = +x - 1
3x. = 3
3/3. = x
1. = x
1. Find the sum to
(a) 8 terms of 3 + 6 + 12 + .....
(b) n terms of 27/8+9/4+3/2+....
note(u can do only that was desplayed bybthe attachment
Answer:
7 1/8
57/8
Hope this helps :)
ASAP! I do not accept nonsense answers, but BRAINLIEST will be given to the person who gets it correct with full solutions.
Answer:
A
Step-by-step explanation:
The range refers to the possible y-values. You can assume that values on the right column are the y-values if it is not specifically expressed. The right column is the output, or y, column.
Since you have a table, you have to state each number. Put the numbers in numerical order. This gives you an answer of
{46, 49, 52, 53, 58, 63, 64, 67}
A polynomial is factored using algebra tiles. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 15 tiles are in the Product spot in 3 columns with 5 rows: 1 is labeled + x squared, 2 are labeled + x, the 4 tiles below + x squared are labeled negative x, and the 8 tiles below the + x tiles are labeled negative. Which polynomial was factored? x2 – 2x – 8 x2 + 2x – 8 x2 – 2x – 4 x2 + 2x – 4
Answer:
x² - 2x - 8
Step-by-step explanation:
Algebra tiles are tiles used to represent variables or numbers and are rectangular or square shaped.
1 is labeled + x squared, this gives x²
2 are labeled + x, this gives +x × 2 = +2x
4 tiles below + x squared are labeled negative x, this gives - x × 4 = - 4x
8 tiles below the + x tiles are labeled negative, this gives -1 × 8 = -8
Therefore to get the polynomial that was factored, we add all the terms. This gives :
+x² + (+ 2x) + (-4x) + (-8) = x² + 2x - 4x - 8 = x² - 2x - 8
Answer:
The answer is A, and if edge is being weird the answer is x^2-2x-8, Have fun dreamers!
Step-by-step explanation:
What is the distance from point (-5,-4) to (9,2)?
Answer:
radical 232
Step-by-step explanation:
14^2+6^2=x^2
196+36= 232
radical 232
Answer: Distance is 15.2
Step-by-step explanation:
[tex]d = √((x2-x1)2 + (y2-y1)2)[/tex]
[tex](x2-x1) = (9 - -5) = 14[/tex]
[tex](y2-y1) = (2 - -4) = 6[/tex]
[tex](14)2 + (6)2 = 196 + 36 = 232[/tex]
[tex]\sqrt{232} =15.2315[/tex]
round to the nearest 10th
The graph shows the function f(x) = 2*
What is the value of xwhen f(x) = 8?
Answer:
x=3
Step-by-step explanation:
f(x) = 2^x
Let f(x) =8
8 = 2^x
Rewriting 8 as 2^3
2^3 = 2^x
The bases are the same so the exponents are the same
3=x
Answer:
A. 3
Step-by-step explanation:
y = 2^x
y = 8
Plug y as 8 in the first equation.
8 = 2^x
Make the left side of the equation with a base of 2.
2^3 = 2^x
Cancel bases.
3 = x
could you plz help me with this question?
Answer:
(a) t_n = 3n - 9
(b) t_16 = 39
Step-by-step explanation:
(a)
-3 - (-6) = -3 + 6 = 3
The common difference is 3.
t_1 = -6
t_2 = -6 + 3
t_3 = -6 + 3 + 3
t_4 = -6 + 3 + 3 + 3
t_n = -6 + 3(n - 1)
t_n = -6 + 3n - 3
t_n = -9 + 3n
t_n = 3n - 9
The formula is: t_n = 3n - 9
(b) t_16 = 3(16) - 9 = 48 - 9 = 39
Answer:
an = -6 + 3(n - 1)
a(16) = 39
Step-by-step explanation:
Explicit Formula: an = a1 + d(n - 1)
Our d (common difference) is +3
Our a1 (First term) is -6
To find a(16) (the 16th term), plug in 16 for n.
ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) iv) P’U(MT’)
Answer:
Step-by-step explanation:
ε = {x: 2≤ x ≤30}
M = { even numbers} = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
P = { prime numbers} = {2,3,5,7,11,13,17,19,23,29}
T = {odd numbers} = {3, 5, 7, 9, 11,13,15,17,19,21,23,25,27,29}
1. M ∪ P = {2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30}
2. M - T =
n(M) - n(T)
15- 14 = 1
3. P(MT)
(MT) = M ∩ T = 0
P ∪ (M ∩ T ) = {2,3,5,7,11,13,17,19,23,29}
4. P' = not a prime number
T' = not odd number = M
P' ∪(M∩T')
P' ∪ {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
= {2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}
The half-life of a certain tranquilizer in the bloodstream is 47 hours. How long will it take for the drug to decay to 93% of the original dosage? Use the exponential decay model, Upper A equals Upper A 0 e Superscript kt, to solve.
Answer:
It will take 4.84 hours for the drug to decay to 93% of the original dosage.
Step-by-step explanation:
We are given that the half-life of a certain tranquilizer in the bloodstream is 47 hours.
The given exponential model is: [tex]A = A_0 e^{kt}[/tex]
Now, we know that A becomes half after 47 hours which means that;
[tex]A = 0.5 A_0[/tex]
Using this in the above equation we get;
[tex]A = A_0 e^{kt}[/tex]
[tex]0.5 A_0 = A_0 e^{(k\times 47)}[/tex] where t = 47 hours
[tex]\frac{0.5 A_0}{A_0} = e^{(47k)}[/tex]
[tex]0.5 = e^{47k}[/tex]
Taking log on both sides we get;
[tex]ln(0.5) = ln(e^{47k})[/tex]
[tex]ln(0.5) =47k[/tex]
[tex]k = \frac{ln(0.5)}{47}[/tex]
k = -0.015
Now, the time it will take for the drug to decay to 93% of the original dosage is given by;
[tex]0.93 = e^{kt}[/tex] where t is the required time
[tex]0.93 = e^{(-0.015 \times t)}[/tex]
Taking log on both sides we get;
[tex]ln(0.93) = ln(e^{-0.015t})[/tex]
[tex]ln(0.93) =-0.015t[/tex]
[tex]t = \frac{ln(0.93)}{-0.015}[/tex]
t = 4.84 hours
Hence, it will take 4.84 hours for the drug to decay to 93% of the original dosage.
A restaurant catered an event for 25 people. A child’s dinner cost $5 and an adult’s dinner cost $22. The party cost $431. How many children were in attendance? How many adults were in attendance?
Answer:
7 Children and 18 Adults.
Step-by-step explanation:
Sorry im late but thats the answer ^
There was 7 children attendee and 17 adult attendee.
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.
Given:
A restaurant catered an event for 25 people.
A child’s dinner cost $5 and an adult’s dinner cost $22.
The party cost $431.
let the number of children attendee be x and adult attendee be y.
So, x+ y = 25..............(1)
and, 5x + 22y = 431.......(2)
Solving the Equation (1) and (2) we get
5(25 - y) + 22y= 431
125 - 5y + 22y= 431
17y = 431-125
17y = 306
y = 18
and, x= 25-18 = 7
Hence, there was 7 children attendee and 17 adult attendee.
Learn more about Equation here:
https://brainly.com/question/29657983
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The first law of thermodynamics states that ΔE= Q− W. Is this also a statement of the principle of conservation of energy? No, the heat that is added to the system is only used to do work. No, the change in internal energy is the energy lost in the system. Yes, the heat added and the change in internal energy of the gas equal the work done by the piston. Yes, the heat that flows into the system is used to change the internal energy of the gas and becomes work done by the piston.
Answer:
yes
Step-by-step explanation:
as we see in the picture the variation of the internal energy of a system is W-Q by analogie we get the second relation in the 2nd picture wich is the first law of thermodynamics
Answer:
Yes, the heat that flows into the system is used to change the internal energy of the gas and becomes work done by the piston.
Step-by-step explanation:
I took the K12 test :)
Which point is located at (4, -2)?
y
5
ТА
4
3
2+
1
2 3
Х
-5 -4 -3 -2 -11
-2
4 5
B
-4
D
b
Answer:
Point B of 4the quertant
Which metric unit would be best to measure the volume of water in a swimming pool?
Answer:
HEY!
your answer is
it would be best to use litres
this is because a litre is 1000 millilitres and a swimming pool is a large amount of water.
Step-by-step explanation:
hope this helps
pls put brainliest
cot(45-A)=tan2A+ sec2A
Answer:
See picture.
Step-by-step explanation:
Work out the mean for the data set below:
3, 5, 4, 3, 5, 6
Give your answer as a fraction
Answer:
13/3
Step-by-step explanation:
To find the mean of a data set, you must add all the given numbers and then divide the numbers by how many numbers there are.
3+5+4+3+5+6=26/6=4.3333...
When we convert the answer from a decimal to a fraction, we get 13/3.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
How do you write r2/3 t1/3 in radical form?
I hope this helps you
Solve for a 7a - 2b = 5a + b
Answer:
a=1.5b
Step-by-step explanation:
Add 2b on both sides to get 7a=5a+3b
Subtract 5a
2a=3b
divide by 2
a=1.5b
Use the given information to draw a box-and-whisker plot of the data set
Minimum – 28
Maximum – 54
Lower Quartile – 32
Upper Quartile – 40
Answer:
The box-and-whisker plot of this distribution is presented in the attached image to this solution.
Step-by-step explanation:
A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.
A box and whiskers plot shows 5 major information about the distribution of data. It shows:
- The maximum variable.
- The minimum variable.
- The Median.
- The first quartile.
- The third quartile.
Further info such as the range and Inter quartile range can then be obtained from this 5-number summary.
The elements of the box plot are described thus;
The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.
The horizontal line inside the box is the median.
The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.
Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.
The required boxplot for this question is given in the attached image to this solution.
The median for the boxplot isn't provided, but it was assumed to be midway between the first and third quartile.
Hope this Helps!!!
Explain how to determine the solutions to a quadratic equation, graphically.
Answer:
In a nutshell, you have to graph the parabola. Where the parabola intersects the x-axis is the solutions to the quadratic equation.
6x + 7y + x-8y = 7x - y
Write down three other expressions that are equal to 7x - y
Answer:
It's pretty easy! You can manipulate the numbers to match the equation.
For example,
x + 8y + 6x - 9y = 7x - y
5x + 2x - 2y + y = 7x - y
10x + 7y - 3x - 8y = 7x - y
The other equivalent expressions that are equal to 7x - y could be; x + 8y + 6x - 9y = 7x - y, 5x + 2x - 2y + y = 7x - y and 10x + 7y - 3x - 8y = 7x - y
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can also be used to indicate the logical syntax's order of operations and other features.
We have been given the expression as;
6x + 7y + x-8y = 7x - y
When someone asks to solve an equation, then it usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
The other equivalent expressions that are equal to 7x - y could be;
x + 8y + 6x - 9y = 7x - y
5x + 2x - 2y + y = 7x - y
10x + 7y - 3x - 8y = 7x - y
To know more about an expression follow;
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Al saves pennies. He agreed to give six thirteenths of his pennies to Bev if she would give six thirteenths of what she got from Al to Carl and if Carl in turn would give six thirteenths of what he got from Bev to Dani. Bev, Carl, and Dani agreed and Dani received 2376 pennies. How many pennies did Al have initially?
Answer:
Step-by-step explanation:
Let x represent the number of pennies that Al had initially.
He agreed to give six thirteenths of his pennies to Bev. It means that the number of pennies that he gave to Bev is 6/13 × x = 6x/13
if she would give six thirteenths of what she got from Al to Carl, it means that the number of pennies that Carl received is 6/13 × 6x/13 = 36x/169
if Carl in turn would give six thirteenths of what he got from Bev to Dani and Dani received 2376 pennies, it means that
6/13 × 36x/169 = 2376
216x/2179 = 2376
216x = 2376 × 2179
216x = 5220072
x = 5220072/216
x = 24167
AI had 24167 pennies initially
. Mr. Wayne has a 3-year contract for his cell phone service. He pays $124.65 each month to cover everyone in his family. How much will the cell phone service cost over the 3-year period? Explain your answer
Answer:
$4,523.40
Step-by-step explanation:
The cell phone cost is $124.65 per month. With 12 months in a year, we multiply $124.65 x 12 to get the answer $1,507.80. Since one year equals $1,507.80, we multiply this answer by 3 for 3 years to get $4,523.40. Thus three years of service with $124.65 a month would equal $4,523.40.
What is the product of the binomials below?
Answer:
A.
Step-by-step explanation:
When you multiply the two binomials using distributive property, you get the answer A. I could display the steps since it did not let me.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Which is the graph of f(x)=2(3) to the x power?
Answer:
Use a graphing calc.
Step-by-step explanation:
What is the result of subtracting the second equation from the first? 8x-4y=-4 -3x+4y=5
━━━━━━━☆☆━━━━━━━
▹ Answer
(x, y) = (14/5, 87/20)
▹ Step-by-Step Explanation
8x - 4y = -4 - 3x + 4y = 5
8x - 4y = 5
-4 - 3x + 4y = 5
8x - 4y = 5
-3x + 4y = 9
5x = 14
x = 14/5
-3 * 14/5 + 4y = 9
y = 87/20
(x, y) = (14/5, 87/20)
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
11x−8y=−9
Step-by-step explanation:
khan