Answer:
c is the answer
Step-by-step explanation:
solution
\(3y + 9 \geqslant - 15\)
\(3( - 5) + 9 \geqslant - 15\)
\( - 15 + 9 \geqslant - 15\)
\( - 6 \geqslant - 15\)
therefore the equation is not true
A polynomial function g(x) has a positive leading coefficient. Certain values of g(x) are given in the following table. x –4 –1 0 1 5 8 12 g(x) 0 3 1 2 0 –3 0 If every x-intercept of g(x) is shown in the table and each has a multiplicity of one, what is the end behavior of g(x)?
Using the Factor Theorem and limits, the end behavior of g(x) is that the function decreases to the left and increases to the right.
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:
\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)
In which a is the leading coefficient.
Considering the table, the roots are given as follows:
\(x_1 = -4, x_2 = 5, x_3 = 12\)
Hence the function is:
f(x) = a(x + 4)(x - 5)(x - 12).
f(x) = a(x² - x - 20)(x - 12)
f(x) = a(x³ - 13x² - 32x + 240).
When x = 0, y = 1, hence the leading coefficient is found as follows:
240a = 1
a = 0.004167
Then:
f(x) = 0.004167(x³ - 13x² - 32x + 240).
The end behavior is given by the limits of f(x) as x goes to infinity, hence:
\(\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 0.004167 x^3 = -\infty\).\(\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} 0.004167 x^3 = \infty\).Hence the end behavior is that the function decreases to the left and increases to the right.
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A farmer bought a number of pigs for $160. However, 8 of them died before he could sell the rest at a profit of 6 per pig. His total profit was $8. How many pigs did he originally buy?
Answer:
The farmer bought 36 pigs in all.
Step-by-step explanation:
Given that a farmer bought a number of pigs for $ 160, but, however, 8 of them died before he could sell the rest at a profit of 6 per pig, and his total profit was $ 8, to determine how many pigs did he originally buy the following calculation must be performed:
160 + 8 = 168
168/6 = 28
28 + 8 = 36
Thus, the farmer bought 36 pigs in all.
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The three (3) statements which are true include the following:
A. The radius of the circle is 3 units.
B. The center of the circle lies on the x-axis.
D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r² ....equation 1.
Where:
h and k represents the coordinates at the center of a circle.
r represents the radius of a circle.
From the information provided above, we have the following equation of a circle:
x² + y² – 2x – 8 = 0 ......equation 2.
In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:
x² – 2x + y² = 8 = 0
x² – 2x + (2/2)² + y² = 8 + (2/2)²
x² – 2x + 1 + y² = 8 + 1
(x – 1)² + (y - 0)² = 9 .......equation 3.
Comparing equation 1 and equation 3, we have the following:
Center (h, k) = (1, 0)
Radius (r) = 3
Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).
(x – 0)² + (y - 0)² = 3²
x² + y² = 9.
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Oh my oh why… Help maybe? Thanks
Answer:
Oh my oh my
Step-by-step explanation:
I don't know the answer
Answer:
426
Step-by-step explanation:
Middle Rectangle Volume:
3x7x6=126
2 Cube volumes:
5x5x6=150
150x2=300
Total Volume:
300+126=426
Which statements are true? Select all that apply.
Answer:
A,B, D
Step-by-step explanation: I just took that test and i got it right
Handrail should be mounted 34 inches minimum and 38 inches maximum above ramps. Which inequality represents the required height?
Answer:
\(34 \leq x \leq 38\)
Step-by-step explanation:
34 inches minimum
This means that x has to be at least 34, that is:
\(x \geq 34\)
38 inches maximum
This means that x can be at most 38, that is:
\(x \leq 38\)
Which inequality represents the required height?
The intersection of 34 minimum and 38 maximum is:
\(34 \leq x \leq 38\)
2. When you take a taxi, the driver charges an initial fee
when you start a ride and then an additional charge for
every mile driven in the cab. If the total fare for a cab
ride is 3.5m + 2.5 after riding for m miles, what does the
2.5 represent? Explain (use appropriate math
vocabulary in your explanation).
Answer:
The
3
mile cab ride includes a basic charge as well as the cost for the distance covered.
For a
6
mile trip, the cost is
$
4.80
which means that :
The cost of
3
miles is
$
4.80
−
$
3.00
=
$
1.80
Therefore the cost for
1
mile is
$
1.80
÷
3
=
$
0.60
The basic fee for hiring the cab is
$
3.00
−
$
1.80
=
$
1.20
So the total cost,
c
for a trip of
d
miles will be:
c
=
0.6
d
+
1.2
Check:
If
d
=
3
c
=
0.6
(
3
)
+
1.2
=
3
If
d
=
6
c
=
0.6
(
6
)
+
1.2
=
4.8
Step-by-step explanation:
Help pleaseeeeeeeeeeee
Function g is a transformation of the parent sine function such that g(x) = sin(x - pi) - 2. which graph represents function g?
(answer choices in the picture)
The graph of the function g is graph (c)
How to determine the graph of function g?The function g is given as:
g(x) = sin(x - pi) - 2
The transformation of the parent function that gives the function g is:
Translate the parent function to the right by pi unitsTranslate the parent function downward by 2 unitsUsing the above highlight as a guide, the graph of the function g is graph (c)
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Answer:
its graph c, i got it correct on endgenuity
Step-by-step explanation:
which equation represents a line that is parallel to y=-5/4x+2
Answer:
y=-5/4x+4
Step-by-step explanation:
as long as the slope is the same and you have a different starting point the lines will be parallel.
a meal came to $16.41 without tax. calculate the 6% sales tax, and then calculate the 15% tip based on the sum of the meal and the tax. what is the total cost of the meal?
Answer:
$20
Step-by-step explanation:
correct me if im wrong(┬┬﹏┬┬)
Translate the sentence into an equation.
Two times the sum of a number and 4 equals 9.
Use the variable y for the unknown number.
Answer:
The equation for this sentence is: 9 = 2(4y)
Answer:
2(y + 4) = 9Step-by-step explanation:
Two times the sum of a number and 4 equals 9:
2(y + 4) = 9may u guys help me jus me out 5 ez questions for u guys to help me with
3 /13− 5/12=
4/9+2/5=
5/8 - 2/9=
3 1/2 +2 5/12=
last but not least
Convert the mixed number to an improper fractions.
457
Note: Use the "/" sign as a fraction bar.
Answer:
1. -29/156 2. 38/45 3. 29/45 4. 113/24 or about 4.7 5. 457/1, 914/2, 1371/3
Step-by-step explanation:
3/13 - 5/12 can be simplified to 36/156 - 65/156. Subtract this and you get -29/156
4/9 + 2/5 can be simplified to 20/45 + 18/45. Add this and you get
38/45
5/8 - 2/9 can be simplified to 45/72 - 16/72. Subtract this and you get
29/45
3 1/2 + 2 5/12 can be first made irrational to 7/2 + 29/24. This can be simplified to 84/24 + 29/24
113/24 or about 4.7
Not sure about the 457, but to convert it, you multiply it by whatever denominator you have. For example
1x457 = 457/1
2x457 = 914/2
And finally 3x457 = 1371/3
3x + y = 4
8x + 2y = 10
Answer:
I take it that we solve for x and y, so we have
3x + y = 4, so we have y = 4 - 3x
and plug that in to
8x + 2y = 10
8x - 6x + 8 = 10
so
2x = 2
x = 1
y = 4 - 3
y = 1
Due today HELP PLEASEEEEE!!!
Answer:
Oiiiiio ka cha thik cha
a half life of a certain radioactive material is 10 hours and initial amount of the material has a mass of 75 Kg. find how long it will take until there is 15 kg of the radioactive material remaining
a half life of a certain radioactive material is 10 hours and initial amount of the material has a mass of 75 Kg. find how long it will take until there is 15 kg of the radioactive material remaining
we know that
the equation that represent this situation is an exponential function of the form
\(y=a(\frac{1}{2})^t\)where
a is the initial value
t is the time in hours
t=time/half life
y is the mass
In this problem we have
a=75 kg
t=t/10
so
substitute
\(y=75(\frac{1}{2})^{(\frac{t}{10)})}\)For y=15 kg
substitute in the equation above
\(\begin{gathered} 15=75(\frac{1}{2})^{(\frac{t}{10)})} \\ \frac{15}{75}=(0.5)^{(\frac{t}{10})} \\ \text{apply log both sides} \\ \log (\frac{15}{75})=\frac{t}{10}\cdot\log (0.5) \\ t=10\cdot\log (\frac{15}{75})\colon\log (0.5) \\ t=23.2\text{ hours} \end{gathered}\)therefore
the answer is 23.2 hoursPLEASE HURRY
What is the value of the expression 45x − 16 if x is equal to −6?
Answer:
-286
Step-by-step explanation:
45(-6)-16
= -270 - 16
= -286
Step-by-step explanation:
45x - 16
x = -6
45(-6) - 16
-270 - 16
-286
Hope this helps! :)
A contractor drew this diagram to find the area of a right-triangular shaped patio.
The length of railing b is 104 feet. The measure of angle A is 28°.
What is the area of the patio rounded to the nearest square foot?
Answer:
Step-by-step explanation:
sin28=0,27
cos28=0.88
so b=0.88c
and a =0.27c and from here is easy
Hatif has $150 in his account. He saves $80 each month. How long will it take before he has $630 in his account?
Answer:
6 months
Step-by-step explanation:
We can set up an equation based on his monthly savings to find out how long it will take for Hatif to reach $630 in his account.
Let's assume it takes Hatif "n" months to reach $630 in his account. Each month, he saves $80.
The equation representing the situation is:
$150 + $80n = $630
Now, let's solve for "n":
$80n = $630 - $150
$80n = $480
n = $480 / $80
n = 6
Therefore, it will take Hatif 6 months to reach $630 in his account.
Enter each answer as a whole number or a faction, or DNE forDoes Not Exist
The values of the piecewise functions at the indicated limits using the equations obtained from the graph are;
\(\lim \limits_{x \to2^+}\frac{f(x) - 4}{f(x+ 3)} = \underline{-\frac{2}{3} }\)
\(\lim \limits_{x\to 3^-}\) f(f(x) + 4) = 7
\(\lim\limits_{h\to 0} \frac{f(2+ h)-f(2)}{h}\) DNE
What is a piecewise function?A piecewise function is a function that has rules or definition based on the interval of reference of the function.
The graphed function, f(x), comprising of several piecewise functions, indicates that as x → 2⁺, we get;
The points on the line of the graph are;
(1, 1), and (3, 3)
The slope of the graph as x tends to 2⁺ is therefore;
Slope = (3 - 1)/(3 - 1) = 1
The equation of the line is therefore;
y - 1 = x - 1
y = f(x) = x
Therefore;
f(x) - 4 = x - 4
f(x + 3) = x + 3
\(\lim \limits_{x\to 2^+} \frac{f(x) -4}{f(x + 3)} = \frac{x - 4}{x + 3} | x = 2\)
\(\lim \limits_{x\to 2^+} \frac{f(x) -4}{f(x + 3)} = \frac{2 - 4}{2 + 3} =\underline{-\frac{2}{5}}\)The piecewise function for the interval, x → 3⁻ is; f(x) = x, therefore;
f(f(x) + 4) = f(x + 4) = x + 4
\(\lim \limits_{x\to 3^-}f(f(x) + 4)\) = x + 4, where; x = 3, therefore;
\(\lim \limits_{x\to 3^-}f(f(x) + 4)\) = 3 + 4 = 7\(\lim \limits_{h\to 0} = \frac{f(2 + h)-f(2)}{h}\), can be found as follows;
The equation of the function at x = 2 is; y = f(x) = x
f(2 + h) = 2 + h
f(2) = 2
Therefore;
\(\frac{f(2 + h)-f(2)}{h}\) = (2 + h - 2)/h = h/h
\(\lim \limits_{h\to 0} \frac{f(2 + h)-f(2)}{h} = \frac{0}{0}\) DNE (Does Not Exist)Learn more about the piecewise functions here: https://brainly.com/question/14390119
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Write a polynomial that represents the area of the shaded region
The polynomial that represents the area of the shaded region is given as follows:
x² - 3x + 36.
How to obtain the area of a rectangle?The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:
A = lw.
For the entire region, the area is given as follows:
A = (x + 1)(x + 1)
A = x² + 2x + 1.
The area of the white region is given as follows:
Aw = 5(x - 7)
Aw = 5x - 35.
Then the area of the shaded region is given as follows:
As = A - Aw
A = x² + 2x + 1 - (5x - 35)
A = x² + 2x + 1 - 5x + 35
A = x² - 3x + 36.
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simplify [Xn (X'nY)]'.
Answer:
(X'U'Y) + (XUY')
Step-by-step explanation:
Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:
[Xn(X'nY)]' = (Xn)' + (X'nY)'
Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:
(Xn)' + (X'nY)' = (X'U'Y) + (XUY')
where U represents the logical operator "or".
Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').
27. What is the reflection image of (5, –3) across the y-axis? (–5, 3) (–5, –3) (–3, 5) (5, 3)
The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).
Algebra 2
Can you help me pls
Answer:
In50=3.912023005
Step-by-step explanation:
press it on your calculator
In the figure below, points J, K, and L are the midpoints of the sides of XYZ. Suppose JK = 38, XZ = 96, and YX = 56. Find the following lengths KL, YZ and LZ
We have the following:
We must calculate each of the sides with the attached image, since they are the midpoints, the value of the inside triangle (JKL) is half.
For KL
\(\begin{gathered} KL=\frac{YX}{2} \\ KL=\frac{56}{2} \\ KL=28 \end{gathered}\)For YZ
\(\begin{gathered} \frac{YZ}{2}=JK \\ YZ=38\cdot2 \\ YZ=76 \end{gathered}\)For LZ
\(\begin{gathered} LZ=\frac{Y\Z}{2} \\ LZ=\frac{76}{2} \\ LZ=38 \end{gathered}\)The answer is KL is 28, YZ is 76 and LZ is 38
Find the exact value of (7\pi )/(6)) by using the unit circle.
To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.
To find the exact value of (7π/6) using the unit circle, follow these steps:
1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).
2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.
3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.
4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).
5. The exact value of (7π/6) is (√3/2, -1/2).
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The profit P, in dollars, of selling x widgets and y gadgets is given by the function P(x, y) = 7x + 3y. Which corner point of the shaded region will maximize the profit?
A. (10, 30)
B. (15, 25)
C. (0, 35)
D. (20, 15)
Step-by-step explanation:
The answer is B
Answers is B
In 2020, one of the states with the fewest people living in it is Wyoming, with a population of 585,501. Write the number that is ten thousand greater than 585,501
The number that is ten thousand greater than 585,501 is 595,501.
What is a greater number?A greater number is a number that when compared with another has a higher numerical value than the former.
To show that a number is greater than another, more values can be determined to account for their differences using basic mathematical operations like addition, subtraction, multiplication, and division.
Data and Calculations:The population of Wyoming in 2020 = 585,501
Additional population to Wyoming = 10,000
New population of Wyoming = 595,501 (585,501 + 10,000)
Thus, the number that is ten thousand greater than 585,501 is 595,501.
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The model represents an equation. What value of x makes the equation true?
Answer:
I think i wanna say one of the fractions
Step-by-step explanation:
Select the correct answer. Which is the simplified form of the expression ? A. B. C. D.
Answer:
where is the question
Step-by-step explanation:
send question
Answer:
The answer is B: 67/10x + 9
Step-by-step explanation:
I did the test