Answer: One side could be 18 and the other side will be 33.
Step-by-step explanation:
Side #1 = 18Side #2 = 2x - 3Side #3 = xOne way of setting up the inequality is: Side #2 + Side #3 > Side #1
[tex]2x-3+x>18\\3x-3>18\\3x>18+3\\3x>21\\x>7[/tex]
Another way of setting up the inequality is: Side #1 + Side #3 > Side #2
[tex]18+x>2x-3\\18+3>2x-x\\x<21[/tex]
Final way of setting up the inequality is: Side #1 + Side #2 > Side #3
[tex]18+2x-3>x\\15>x-2x\\15>-x\\x>-15[/tex]
Therefore, we have the range for our value of x, which is between 7 and 21. Any possible value between works. Negative measurements are rejected. One of the sides would equal the x-value, while the other side would equal the value of 2x-3.
What are the odds against picking a red marble from a bag of 10 green marbles, 10 yellow marbles, and 5 red marbles?
The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
Part A: Find and interpret the slope of the function. (3 points)
Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points)
Part C: Write the equation of the line using function notation. (2 points)
Part D: What is the balance in the bank account after 5 days? (2 points)
Answer:
see below
Step-by-step explanation:
Part A
The slope is found by
m = ( y2-y1)/(x2-x1)
= ( 1200-1500)/(4-0)
= -300/4
=-75
Part B
point slope y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-1200 = -75(x-4)
slope intercept y = mx+b where m is the slope and b is the y intercept
y = -75x + 1500
standard form Ax+By =C
75x + y = 1500
Part C
Change y to g(x) in the slope intercept form
g(x) = -75x + 1500
Part D
Let x = 5
g(5) = -75(5) + 1500
=-375+1500
=1125
How many 1/8 servings can I get from 3/4
Answer:
6 1/8th cups in 3/4 cups
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
you convert 3/4 into 8ths which will be 6/8
A bag contains 8 red marbles, 7 blue marbles, and 6 green marbles. Adam randomly picks out a marble from a bag. What is the theoretical probability that Adam will pick a blue marble from the bag?
Answer:
⅓
Step-by-step explanation:
8+7+6
total= 21
blue= 7÷21
1/3
Answer:
1/3
Step-by-step explanation:
total number of marbles 21
blue marbles 7
now ,probability of blue marble =7/21=1 /3
Jason can peel 15 potatoes in 25 minutes. Janette can peel 8 potatoes in 1/10 hour. If they start peeling at the same time how many
minutes will it take them to peel 406 potatoes?
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Answer:
210 minutes
Step-by-step explanation:
Jason's rate of peeling is ...
(15 potatoes)/(25 minutes) = 15/25 potatoes/minute = 3/5 potatoes/minute
Janette's rate of peeing potatoes is ...
(8 potatoes)/(6 minutes) = 4/3 potatoes/minute
Their combined rate is ...
(3/5 +4/3) = (9 +20)/15 = 29/15 . . . . potatotes/minute
Then the time required for 406 potatoes is ...
(406 potatoes)/(29/15 potatoes/minute) = (406×15/29) minutes
= 210 minutes
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! Chapter 11a
Please SHOW YOUR WORK THOROUGHLY!!
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Answer:
vertical shift: 7 (up)horizontal shift: 2 (right)vertical asymptote: x=2domain: x > 2range: all real numbersStep-by-step explanation:
For any function f(x), the transformation f(x -h) +k represents a horizontal shift of h units to the right and k units upward.
Here, the parent function is log₂(x) and the transformation to log₂(x -2) +7 represents translation 2 units right and 7 units upward.
The parent function has a vertical asymptote at x=0, so the shifted function will have a vertical asymptote at x-2=0, or x = 2.
The parent function has a domain of x > 0, so the shifted function will have a domain of x-2 > 0, or x > 2.
The parent function has a range of "all real numbers." Shifting the function vertically does not change that range. The range of the shifted function is still "all real numbers."
The graph is shown below. The vertical asymptote is the dashed orange line.
_____
The "work" is in matching the pattern f(x -h) +k to the function log₂(x -2) +7.
Carlos is an administrative assistant at an insurance agency. He wants to gather feedback from customers on their service. He doesn't have a lot of time, and he wants to have some data to share with his supervisor. What is the best way for Carlos to gather feedback? O a) Individual interviews O b) Survey O c) Focus group d) Phone calls
Answer: b) Surveys
When a person does not have enough time he must should take the faster and effective route in this case carlos does not have time for individual interviews or phone calls. Focus group is not used to get feedback it is to discuss about data before a item is launched. Therefore it should be survey because it is used to collect feedback from large amount of people.
Must click thanks and mark brainliest
simplify the following expression
6a^4c+8ac^2-4a^4c-15-10ac^2
Answer:
2a^4c-2ac^2-15
Step-by-step explanation:
Sorry, I not sure if this is right or not cause I don't know if the exponent for -4a^4c is that or -4a^4c-15, but I'm just going to go with -4a^4c. However aside from that you just combine like terms.
Answer:
[tex]2a^4c-2ac^2-15[/tex]
Step-by-step explanation:
[tex]6a^4c+8ac^2-4a^4c-15-10ac^2[/tex]
We need to organize this expression into groups of like terms, so we can combine them easier. There are 2 groups of like terms,
[tex]6a^4c-4a^4c[/tex] and [tex]8ac^2-10ac^2[/tex]
[tex]6a^4c-4a^4c+8ac^2-10ac^2-15[/tex]
Add similar elements:
[tex]2a^4c+8ac^2-10ac^2-15[/tex]
Add, [tex]8ac^2-10ac^2=-2ac^2[/tex]
[tex]=2a^4c-2ac^2-15[/tex]
OAmalOHopeO
how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right.how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right. plz answer the question steps by step.
Answer:
4 walls in my room. The shape of my room is square and my ceiling in square. By looking at it and measuring it. Thats how I found my answer.
I believe this is correct if it is can you mark brainliest? Hope I helped!!!! :)
Answer:
8 walls etc....
Step-by-step explanation:
While walking in the country, you count 39 heads and 116 feet in a field of cows and chickens. How many of each animal are there?
Answer: 58
Step-by-step explanation:
its 58 because chickens have two feet each so divide 2 % 166 and its 58
because each chicken has 2 legs count the 2 legs up to 116 then u get ur answer
Select the correct answer.
What is V200in simplest form?
OA. 2/10
OB.
1072
O C. 100/2
OD
20/10
Darot
Answer:
Step-by-step explanation:
If you mean √200, you cannot write it as V200.
√200 = √(10²×2) = 10√2
Answer:
B.) 2/10
Step-by-step explanation:
Rank the following asserts of a commercial Bank in order of decreasing liquidity.
(a) market loans
(b) Reserves with the bank of Ghana
(c) cash
(d) personal loans
(e) sales and repurchase agreements (repos)
(f) mortgages
(g) Government bonds (of from one to five years to motuity)
Answer:
(b) Reserves with the bank of Ghana
Helppppp, i dont know how to do this problem
Answer:
(3, -5) (4, -5) (2, -7)
Step-by-step explanation:
An integer is any whole number that is not a fraction, they include -10204, -3, 0, 5, and 8592. (random numbers)
A coordinate with integers can be anything such as (0, 4582) and (547, 42)
However, it can not be (0.45846, 4579) or (54.42, 58).
To determine which points have coordinates that look like they are integers, you just have to select 3 points that lie at the intersection of the y and x value tic marks
You can see that (3, -5) is at the intersection of the x value 3 tic mark and the y value -5 tic mark, while also being on the parabola.
A store sells chocolate in the form of letters of the English alphabet. Identical letters have the same price, different letters have different prices. It is known that the word ONE costs $6, the word TWO costs $9, and the word ELEVEN costs $16. How much does the word TWELVE cost?
Answer:
20
Step-by-step explanation:
3. Solve x^7 - 11x^6 +48X^5 - 120x^4 + 225x^3 - 243x^2 - 162X + 486 = 0. (1 point)
-x=-1, x = +61, x = 3 with multiplicity 4
-x=-1 with multiplicity 5, x = 3 with multiplicity 2
-x = -1, x = + v6i, x = 3 with multiplicity 4
-x = -1 with multiplicity 3, x = V6, X = 3 with multiplicity 2
Answer:
Entrada
{-x = -1, x = +61, x = 3}
Resultado
{-x = -1, x = 61, x = 3}
Alternate form
{x = 1, x = 61, x = 3}
The answer will be [tex]x=-1,\:x=3,\:x=\sqrt{6}i,\:x=-\sqrt{6}i[/tex]
What is Equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.
Given equation:
x^7 - 11x^6 +48X^5 - 120x^4 + 225x^3 - 243x^2 - 162X + 486 = 0.
x^7 +48X^5+ 225x^3+ 486 = 11x^6+ - 120x^4 + 243x^2 + 162x
On solving
[tex]\left(x+1\right)\left(x-3\right)^4\left(x^2+6\right)=0[/tex]
[tex]\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0[/tex]
[tex]x+1=0\quad \mathrm{or}\quad \:x-3=0\quad \mathrm{or}\quad \:x^2+6=0[/tex]
Hence, the solution is [tex]x=-1,\:x=3,\:x=\sqrt{6}i,\:x=-\sqrt{6}i[/tex]
Learn more about equation here:
https://brainly.com/question/10413253
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Is this a function help
.
b) Lấy được ít nhất một quả cầu trắng
Answer:
I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer.
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! PLEASE explain thoroughly. Chapter 9 part 1
1. How can you determine the end behaviors for a graph from the function? What are the possible behaviors?
2. How is solving a polynomial inequality different from a solving a polynomial equation? How do the solutions differ?
3. What is a composite function? How does order of the composite function play a role in solving the composition?
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Explanation:
1. End behavior is the behavior of the function when the value of the independent variable gets large (or otherwise approaches the end of the domain). There are generally four kinds of end behavior:
the function approaches a constant (horizontal asymptote)the function approaches a function (slant asymptote, for example)the function oscillates between two of the above end behaviorsthe function tends toward +∞ or -∞Of these, behavior 2 will ultimately look like one of the others.
For polynomials, the function will always approach ±∞ as the independent variable approaches ±∞. Whether the signs of the infinities agree or not depends on the even/odd degree of the polynomial, and the sign of its leading coefficient.
For exponential functions, the end behavior is a horizontal asymptote in one direction and a tending toward ±∞ in the other direction.
For trig functions sine and cosine, the end behavior is the same as the "middle" behavior: the function oscillates between two extreme values.
For rational functions (ratios of polynomials), the end behavior will depend on the difference in degree between numerator and denominator. If the degree of the denominator is greater than or equal to that of the numerator, the function will have a horizontal asymptote. If the degree of the numerator is greater, then the end behavior will asymptotically approach the quotient of the two functions—often a "slant asymptote".
__
2. A polynomial inequality written in the form f(x) ≥ 0, or f(x) > 0, will be solved by first identifying the real zeros of the function f(x), including the multiplicity of each. For positive values of x greater than the largest zero, the sign of the function will match the sign of the leading coefficient. The sign will change at each zero that has odd multiplicity, so one can work right to left to identify the sign of the function in each interval between odd-multiplicity zeros.
The value of the function will be zero at each even-multiplicity zero, but will not change sign there. Obviously, the zero at that point will not be included in the solution interval if the inequality is f(x) > 0, but will be if it is f(x) ≥ 0. Once the sign of the function is identified in each interval, the solution to the inequality becomes evident.
As a check on your work, you will notice that the sign of the function for x > max(zeros) will be the same as the sign of the function for x < min(zeros) if the function is of even degree; otherwise, the signs will be different.
The solution to a polynomial inequality is a set of intervals on the real number line. The solution to a polynomial equation is a set of points, which may be in the complex plane.
__
3. A composite function is a function of a function, or a function of a composite function. For example f(g(x)) is a composite function. The composition can be written using either of the equivalent forms ...
[tex](f\circ g)(x)\ \Leftrightarrow\ f(g(x))[/tex]
It can be easy to confuse an improperly written composition operator with a multiplication symbol, so the form f(g(x)) is preferred when the appropriate typography is not available.
When simplifying the form of a composition, the Order of Operations applies. That is, inner parenthetical expressions are evaluated (or simplified) first. As with any function, the argument of the function is substituted wherever the independent variable appears.
For example, in computing the value f(g(2)), first the value of g(2) is determined, then that value is used as the argument of the function f. The same is true of other arguments, whether a single variable, or some complicated expression, or even another composition.
Note that the expression f(g(x)) is written as the composition shown above. The expression g(f(x)) would be written using the composition operator with g on the left of it, and f on the right of it:
[tex](g\circ f)(x)\ \Leftrightarrow\ g(f(x))[/tex]
That is, with respect to the argument of the composition, the functions in a composition expression are right-associative. For example, ...
for h(x)=2x+3, g(x)=x^2, f(x)=x-2 we can evaluate f(g(h(x)) as follows:
f(g(h(x)) = f(g(2x+3) = f((2x+3)^2) = (2x+3)^2 -2
It should be obvious that g(h(f(x)) will have a different result.
g(h(f(x)) = g(h(x-2)) = g(2(x-2)+3) = (2(x-2)+3)^2
A plane traveled 4425 miles with the wind in 7.5 hours and 3675 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.
Answer:
540 and 50 respectively
Step-by-step explanation:
Let the speed of plane in still air be x and the speed of wind be y.
ATQ, (x+y)*7.5=4425 and (x-y)*7.5=3675. Solving it, we get x=540 and y=50
Prove that sin2α = 2sinαcosα
Answer:
Here is your answer . hope this helps.
The property taxes on a house were $1000. What was the tax rate if the house was valued at $125,000
Answer:
The tax rate was 0.8%
Step-by-step explanation:
Set up an equation:
x = tax rate
1000/125000 = x/100
Cross multiply:
1000 × 100 = 125000 × x
100000 = 125000x
0.8 = x
Check your work:
1000/125000 = 0.8/100
0.008 = 0.008
Correct!
Another way to check your work:
1000 × 100 = 125000 × 0.8
100000 = 100000
Correct!
The width of a rectangle is three units less than the length if the area is 28 square units then find the dimensions of the rectangle
Let
width be xLength=x+3ATQ
[tex]\\ \sf \longmapsto Area=Length\times Width[/tex]
[tex]\\ \sf \longmapsto x(x+3)=28[/tex]
[tex]\\ \sf \longmapsto x^2+3x=28[/tex]
[tex]\\ \sf \longmapsto x^2+3x-28=0[/tex]
[tex]\\ \sf \longmapsto x^2+7x-4x-28=0[/tex]
[tex]\\ \sf \longmapsto x(x+7)-4(x+7)=0[/tex]
[tex]\\ \sf \longmapsto (x-4)(x+7)=0[/tex]
[tex]\\ \sf \longmapsto x=4\:or\:x=-7[/tex]
Ignore negative value[tex]\\ \sf \longmapsto Width=4units[/tex]
[tex]\\ \sf \longmapsto Length=4+3=7units[/tex]
find three numbers in dip, such that their sum is 60 and the last one is three times the first
30,20 and 10
30 + 20 + 1/3×30 = 60
50 + 10 = 60
60 = 60
Must click thanks and mark brainliest
8. Write (2x + 1)(x - 3)(x - 2) in standard form.
2x3 - 9x2 + 6
2x3 - 9x2 + 7x + 6
O
2x3 + 7x - 9x2 + 6
O
7x + 2x3 - 9x2 + 6
Answer:
2x^3 - 9x^2 + 7x + 6
Step-by-step explanation:
(2x + 1)(x - 3)(x - 2)=2x^3 - 9x^2 + 7x + 6
University Trailer Sales Company sold 356 utility trailers during a recent year. If the gross annual sales for the company was $328128, what was the average selling price for each trailer?
The average selling price of each trailer was nearly $
(Round to the nearest whole number.)
Answer:
The Answer is 2000$..........
Piecewise functions alg1
Answer:
C. 0
Step-by-step explanation:
Since we are finding f(-4), we use the first function since -4 is less than -2.
f(-4) = (-4) + 4 = 0
Therefore, the answer is C.
30 points!!!!!!!
There are 6 red marbles, 9 blue marbles, and 10 green marbles in a bag.
Several trials are performed with the results shown in the table. What is the experimental probability of randomly drawing a red marble?
Red Blue Green
16 30 34
32%
25%
20%
16%
Answer:
C. 20%Step-by-step explanation:
Outcomes with red = 16Total trials = 16 + 30 + 34 = 80P(red) = 16/80 = 1/5 = 20%Correct choice is C
Answer:
20%
Step-by-step explanation:
80 x 20% = 16 red marbles
A model rocket is launched with an initial velocity of 240 ft/s. The height, h, in feet, of the rocket t seconds after the launch is given by
h = −16t2 + 240t.
How many seconds after launch will the rocket be 390 ft above the ground? Round to the nearest hundredth of a second.
s (smaller value)
s (larger value)
Answer:
About 1.85 seconds and 13.15 seconds.
Step-by-step explanation:
The height (in feet) of the rocket t seconds after launch is given by the equation:
[tex]h = -16t^2 + 240 t[/tex]
And we want to determine how many seconds after launch will be rocket be 390 feet above the ground.
Thus, let h = 390 and solve for t:
[tex]390 = -16t^2 +240t[/tex]
Isolate:
[tex]-16t^2 + 240 t - 390 = 0[/tex]
Simplify:
[tex]8t^2 - 120t + 195 = 0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}[/tex]
In this case, a = 8, b = -120, and c = 195. Hence:
[tex]\displaystyle t = \frac{-(-120)\pm \sqrt{(-120)^2 - 4(8)(195)}}{2(8)}[/tex]
Evaluate:
[tex]\displaystyle t = \frac{120\pm\sqrt{8160}}{16}[/tex]
Simplify:
[tex]\displaystyle t = \frac{120\pm4\sqrt{510}}{16} = \frac{30\pm\sqrt{510}}{4}[/tex]
Thus, our two solutions are:
[tex]\displaystyle t = \frac{30+ \sqrt{510}}{4} \approx 13.15 \text{ or } t = \frac{30-\sqrt{510}}{4} \approx 1.85[/tex]
Hence, the rocket will be 390 feet above the ground after about 1.85 seconds and again after about 13.15 seconds.
A graphics designer is designing an advertising brochure for an art show. Each page of the brochure is rectangular with an area of 52 in^2 and a perimeter of 30in. Find the dimensions of the brochure. The longer side is _____in. The shorter side is ______ in.
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Answer:
9.562 in5.438 inStep-by-step explanation:
The sum of side lengths of a rectangle is half the perimeter, so is 15 inches for this brochure. If x is one of the side lengths, then (15 -x) is the other one, and the area is ...
x(15 -x) = 52
x^2 -15x = -52 . . . . multiply by -1 and expand
(x -7.5)^2 = -52 +56.25 = 4.25 . . . complete the square
x = 7.5 ±√4.25 ≈ {5.438, 9.562} . . . inches
The longer side is 7+√4.25 ≈ 9.562 inches; the shorter side is 7-√4.25 ≈ 5.438 inches.
The ratio of two numbers is 9 to 8, and their sum is 187. What are the numbers?
=========================================================
Explanation:
The ratio of the two numbers is 9 to 8, which we can write as shorthand into 9:8
Multiplying both parts by x gets us the ratio 9x:8x where x is nonzero.
The numbers 9x and 8x add up to 187, so,
9x+8x = 187
17x = 187
x = 187/17
x = 11
Which then means
9x = 9*11 = 998x = 8*11 = 88are the two numbers. Note how 9x+8x = 99+88 = 187 to help confirm the answers. Furthermore, note how 99:88 reduces to 9:8 after dividing both parts by the GCF 11.
Answer:
99 and 88
Step-by-step explanation:
Let the two number be 9x and 8x
Add together
9x+8x = 187
17x = 187
Divide by 17
17x/17 = 187/17
x = 11
The numbers are
9*11 = 99
and 8*11 = 88
