Answer:
(-1, 0)
Step-by-step explanation:
Jim, please use the symbol " ^ " to indicate exponentiation:
y = x^3 + 3x^2 – x – 3. Thanks.
A "turning point" is a point on the graph of a function at which the derivative changes sign (e. g., from positive to negative or vice versa). To identify turning points, we differentiate the given function twice, set the second derivative equal to zero and identify the x-values at which the sign of the derivative changes.
Given y = x^3 + 3x^2 – x – 3,
dy/dx = 3x^2 + 6x - 1
d²y
------ = 6x + 6 and this is zero at x = -1.
dx²
We can easily show that the 2nd derivative changes sign at x = -1.
Thus, the only turning point here is (-1, [-1]³ + 3[-1]² - [-1] - 3), or (-1, 0).
Answer: (-2,3) and (0,-3)
Step-by-step explanation:
two parallel lines are crossed by a transversal what is the value of b
Answer:
b=128
Step-by-step explanation:
Answer:
Option D b = 128°
Step-by-step explanation:
There are two parallel lines p and q
These lines are crossed by a transversal m
then ∠b and ∠128° are the alternate angles.
which should be equal in measure.
Therefore, ∠b = 128°
Option D b = 128° is the answer.
Which of the following rules could represent the function shown in the table?
f(x) = -2x
f(x) = 2x-1
f(x) = 2x+1
Answer:
f(x) = 2x+1
Step-by-step explanation:
Equation in slope intercept form y = mx + b where m = slope b = y-intercept
To find slope ,
m = (y2-y1)/(x2 - x1)
m = (3 - 1) / (1 - 0)
m = 32/1
m = 2
y-intercept b = 1
In this case y = 2x + 1 or f(x) = 2x+1
what is the most basic function in a family of the functions?
Answer:
A family of functions is a group of functions that can all be derived from transforming a single function called the parent function. The parent function is the most basic function in the family of functions, the function from which all the other functions in the family can be derived.A family of functions is a group of functions that can all be derived from transforming a single function called the parent function. The parent function is the most basic function in the family of functions, the function from which all the other functions in the family can be derived.
Step-by-step explanation:
All of the functions within a family of functions can be derived from the parent function by taking the parent function's graph through various transformations.
These transformations include horizontal shifts, stretching or compressing vertically or horizontally, reflecting over the x or y axis, and vertical shifts.
Answer:
The parent function is the most basic.
ughh , anyone know how to do this or what the answer is
Answer:
1730
Step-by-step explanation:
The exponential function is of the form
y = a × [tex]b^{n}[/tex]
where y is the insect population and n the number of weeks
a and b have to be found by using values from the table.
Using (0, 20), then
20 = a × [tex]b^{0}[/tex] ⇒ a = 20
Using (1, 30), then
30 = 20 × [tex]b^{1}[/tex] ⇒ b = [tex]\frac{30}{20}[/tex] = 1.5
Hence
y = 20 × [tex]1.5^{n}[/tex] ← exponential function
When n = 11
y = 20 × [tex]1.5^{11}[/tex] ≈ 1730 ( nearest whole number )
Determine whether the formula describes y as a function of x. Explain your reasoning.y = -x
Answer:
Yes, [tex]y=-x[/tex] describes "y" as a funcion of "x", because each input value (value of "x") has only one ouput value (value of "y").
Step-by-step explanation:
By definition, a relation is a function if each input value (value of "x")has only one ouput value (value of "y").
We need to remember that "y as a function of x" means that "x" is the independent variable and "y" is the dependent variable or, in other words, the value of the variable "y" depends upon the value of the variable "x".
Then, [tex]y=-x[/tex] is a function, because each input value has one and only one output value. For example:
If [tex]x=-2[/tex], then:
[tex]y=-(-2)=2[/tex]
If [tex]x=1[/tex], then:
[tex]y=-(1)=-1[/tex]
If [tex]x=5[/tex], then:
[tex]y=-(5)=-5[/tex]
Therefore, [tex]y=-x[/tex] describes "y" as a funcion of "x".
HELP PLEASE>>WILL GIVE BRAINLEST TO WHO EVER ANSWERS IT Use the scenario to answer the question.
An egg farmer determined that it costs him $0.05 per egg to harvest chicken eggs. In addition, he spends $1000 each month for the upkeep of his farm.
Write an equation in slope-intercept form that represents the monthly cost of the farm in dollars y, when it produces x eggs.
Which answer correctly identifies the slope and equation for this situation?
select the corect answer.
A.The slope is −1000 because this is the monthly cost for upkeep at the farm. The equation is y=−1000x−0.05.
B.The slope is −0.05 because this is the cost per egg. The equation is y=−0.05x+1000.
C.The slope is 0.050.05 because this is the cost per egg. The equation is y=0.05x+1000.
D.The slope is 1000 because this is the monthly cost for upkeep at the farm. The equation is y=1000x.
Answer:
Step-by-step explanation:
Total cost here is a sum that increases with the number of eggs produced.
TC(x) = $1000 + ($0.05/egg)x, where x is the number of eggs produced.
The y-intercept is $1000; it is independent of the number of eggs produced.
The slope is $0.05/egg.
Answer C is correct.
The equation that represents the monthly cost y for producing x eggs is y = 0.05x + 1000, where 0.05 (the cost per egg) is the slope, and 1000 (the monthly upkeep cost) is the y-intercept. Thus, the correct answer is option C.
Explanation:In the given scenario, the cost per egg is $0.05, which makes this the slope of the equation, as this is the cost that changes with the number of eggs produced, represented by x. The fixed cost of $1000 per month for the upkeep of the farm is the y-intercept because this cost does not change regardless of the quantity of eggs produced. Therefore, using y = mx + b (slope-intercept form), where y is the total cost, m is the cost per egg, x is the number of eggs, and b is the monthly upkeep cost, we get:
y = 0.05x + 1000
Hence, the correct answer is C: The slope is 0.05 because this is the cost per egg. The equation is y = 0.05x + 1000.
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I don’t understand questions 1 and 2.
Answer:
Step-by-step explanation:
One
2/3 = 0.6666
4/5 = 0.8
5/6 = 0.8333
On a number line, the last 2 would be close to 1 and 4/5 would be closer to the center than 5/6.
2/3 is over half so it would be closest to the 1/2 point and the furthest left of the the points.
_____________________________|____________|___|_______
O 2/3 4/5 5/6
Two
What primes make up the number given
38: 2 * 19
18: 3 *3 * 2
24:2*2 * 2 * 3
81: 3 * 3 * 3 * 3
From the side view, a gymnastics mat forms a right
triangle with other angles measuring 60° and 30°. The
gymnastics mat extends 5 feet across the floor. How
high is the mat off the ground?
Answer:
its b
Step-by-step explanation:
The height of the mat off the ground is 5√3 / 3 feet.
What is a right triangle?
A triangle is a three-sided polygon with three edges and three vertices. A right triangle is a triangle in which one of its angles measures 90 degrees.
What is the height of the mat?In order to determine he height of the mat, tan would be used.
Tan = opposite / adjacent
Tan 30 = opposite / 5
1 / √3 = opposite / 5 = 5
Opposite = 5√3 / 3 feet
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The domain of the following relation: R: {(3, 5), (8, 6), (2, 1), (8, 6)} is (1 point) No domain exists {1, 5, 6} {3, 8, 2, 8} {2, 3, 8}
Domain means all the x - values included in a set of data:
{(3, 5), (8, 6), (2, 1), (8, 6)}
It is unnecessary to put two of the same numbers. You only need to put one.
{2, 3, 8}
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer: Last option.
Step-by-step explanation:
By definition, the Domain is the set of all the x-coordinates of the ordered pairs (input values) and the Range is the set of all the y-coordinates of the ordered pairs (output values)
In this case you have the following relation:
[tex]R:[/tex]{[tex](3, 5), (8, 6), (2, 1), (8, 6)[/tex]}
You can identify that the set of all the x-coordinates is:
{[tex]3,8,2,8[/tex]}
You can observe that the input value 8 appears twice, but you only need to write it once.
Therefore, the Domain of that relation is:
[tex]Domain:[/tex]{[tex]2,3,8[/tex]}
Describe the relationship between the area and the perimeter of two squares with a length of 2.5 and 5.
For this case we have by definition, that the area of a square is given by:
[tex]A = l ^ 2[/tex]
While the perimeter is given by:
[tex]p = 4l[/tex]
Where:
l: It's the side of the square.
Square 1: [tex]l = 2.5[/tex]
[tex]A = (2.5) ^ 2 = 2.5 * 2.5 = 6.25\\p = 4 (2.5) = 10[/tex]
Square 2: [tex]l = 5[/tex]
[tex]A = (5) ^ 2 = 5 * 5 = 25\\p = 4 (5) = 20[/tex]
We can see that the perimeter of the second square is double that of the first. In addition, the second area is four times that of the first square.
Answer:
[tex]p_ {2} = 2p_ {1}\\A_{2} = 4A_ {1}[/tex]
Can someone please help me out with this question??
For this case we have that the variable "s" represents the quantity of slices for each pizza.
In total, 9 pizzas were purchased and 72 slices were obtained. Then we can raise the following equation:
[tex]9s = 72[/tex]
To know the amount of slices of each pizza we clear "s":
[tex]s = \frac {72} {9} = 8[/tex]
Answer:
[tex]9s = 72\\s = 8[/tex]
Find the zero of 5x – 20 = 0.
Question 10 options:
a)
5
b)
4
c)
0
d)
-20
Answer:
The correct option B) 4.
Step-by-step explanation:
Consider the provided equation.
[tex]5x - 20 = 0[/tex]
To find the zero simplify the above equation as shown
Add 20 from both the sides.
[tex]5x - 20+20 = 20[/tex]
[tex]5x= 20[/tex]
Divide 5 from both the sides.
[tex]\frac{5x}{5}=\frac{20}{5}[/tex]
[tex]x=4[/tex]
Thus, the zero of the equation is [tex]x=4[/tex].
Hence, the correct option B) 4.
Write the inverse of the conditional statement. Determine whether the inverse is true or false. If it is false, find a counterexample.
An equilateral triangle has three congruent sides.
Select one:
A. A non-equilateral triangle has three congruent sides. False; an isosceles triangle has two congruent sides.
B. A figure that has three non-congruent sides is not an equilateral triangle. True
C. A non-equilateral triangle does not have three congruent sides. True
D. A figure with three congruent sides is an equilateral triangle. True
C. A non-equilateral triangle does not have three congruent sides. True
A cube has a volume of 800 cubic inches. What
is the length of an edge of the cube, in inches?
A. 23/100
B. 43/50
C. 83/100
D. 1003/2
E. 1003/8
Answer:
Step-by-step explanation:
Not sure
What is the slope of the line through (–4, 3) and (5, 3)?
Question 16 options:
a)
0
b)
undefined
c)
1
d)
9
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 3) and (x₂, y₂ ) = (5, 3)
m = [tex]\frac{3-3}{5+4}[/tex] = [tex]\frac{0}{9}[/tex] = 0
Solve the following system of equations graphically. Complete your work in the space provided or upload a file that can
display math symbols if your work requires it. Be sure to include the solution graphically and numerically.
x + y=0
x- y+ 2 = 0
PLEASE HELP :(
Answer:
So value of x = -1 and value of y = 1
Solution Set (-1,1)
Step-by-step explanation:
x+y =0
x-y +2 =0
We need to solve these equations to find value of x and y
x+y =0 eq(1)
Add -2 on both sides
x-y = -2 eq(2)
Add equation 1 and 2
x+y = 0
x-y =-2
______
2x = -2
x = -2/2
x = -1
Now, put value of x = -1 in equation 1
x+y = 0
-1 +y =0
Adding +1 on both sides
-1+1+y = 0+1
y = 1
So value of x = -1 and value of y = 1
Solution Set (-1,1)
We would plot the values of x= -1 and y = 1 on the graph.
Graph is attached in the figure below.
What is the initial value of the function represented by this table?
x y
0 4
1 9
2 14
a- 0
b- 4
c- 5
d- 9
Check the picture below.
What is the measure of x, in degrees
Answer: B is correct, 40 degrees.
Step-by-step explanation:
70 is the given angle, z is equivalent to that angle, so z is 70. So add those together, and you have 140. According to the rule, a triangle will always add up to 180. So 180-140=40 and there's your answer. Hope this helps!
Malik’s solution to the equation 2/5x-4y=10 , when x=60, is shown below.
Answer:
D. Malik substituted 60 for y instead of x.
Step-by-step explanation:
Look closely at the step by step process.
Answer:Answer:
D. Malik substituted 60 for y instead of x.
Step-by-step explanation:
Look closely at the step by step process.
Step-by-step explanation:
Henry recorded the number of miles he biked each day for a week. His miles were 25, 40, 35, 25, 40, 60, and 75. Enter the data into the statistics calculator.
what is the standard deviation of the miles Henry biked to the nearest tenth?
Answer:
17.1
Step-by-step explanation:
1. Find the Mean
(25+40+35+25+40+60+75)/7 = 42.9
2.For each number, subtract the Mean and square the result.
(25-42.86)^2=319
(40-42.86)^2=8.2
(35-42.86)^2=61.8
(25-42.86)^2=319
(40-42.86)^2=8.2
(60-42.86)^2=293.8
(75-42.86)^2=1033
3. Find the Mean of those squared differences.
(319+8.2+61.8+319+8.2+293.8+1033)/7=291.9
4.Take the square root of that and this is what you want.
square root of 291.9 = 17.1
The standard deviation of the given data is 17.1
What is standard deviation?Standard deviation meaning in statistics is a measure of how much the data points vary from the mean or average. It is calculated as the square root of the variance, which is the average of the squared deviations of each data point from the mean.
Given is a data set, we need to find the standard deviation of the data set,
S = 25, 40, 35, 25, 40, 60, 75
Finding the mean =
(25+40+35+25+40+60+75)/7 = 42.86
Finding the variance =
(25-42.86)² = 319
(40-42.86)² = 8.2
(35-42.86)² = 61.8
(25-42.86)² = 319
(40-42.86)² = 8.2
(60-42.86)² = 293.8
(75-42.86)² = 1033
(319+8.2+61.8+319+8.2+293.8+1033)/7=291.9
Therefore, the standard deviation =
√291.9 = 17.1
Hence, the standard deviation of the given data is 17.1
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A die is rolled. What is the probability of rolling the following? A multiple of 3 or a multiple of 4
Answer:
1) 33.33%
2) 16.66%
Step-by-step explanation:
1) Since multiples of 3 in 1,2,3,4,5,6 include and limited to 3 and 6. This means that 2 / 6 or 1 / 3. This fraction is equal to 33.33%.
2) Since multiples of 4 in 1,2,3,4,5,6 include and limited to only 4. This means that 1/6 and this fraction is equal to 16.66%.
Answer:
1/2.
Step-by-step explanation:
A multiple of 3 is 3 or 6 and a multiple of 4 is 4.
Probability(3 or 6) = 2/6 = 1/3.
Probability(4 ) = 1/6.
So Probability ( multiple of 3 or a multiple of 4) = 1/6 + 1/3
= 1/2.
Solve 4/x-4=x/x-4-4/3 for x and determine if the solution is extraneous or not
Answer:
x = 4 (extraneous solution)
Step-by-step explanation:
[tex] \frac { 4 } { x - 4 } = \frac { x } { x - 4 } - \frac { 4 } { 3 } \\ \frac { 4 } { x - 4 } - \frac { x } { x - 4 } = - \frac { 4 } { 3 } \\ \frac { 4 - x } { x - 4 } = - \frac { 4 } { 3 } \\ 3 ( 4 - x ) = - 4 ( x - 4 ) \\ 1 2 - 3 x = - 4 x + 1 6 \\ 4 x - 3 x = 1 6 - 1 2 \\ x = 4 \\[/tex]
This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back [tex]x=4[/tex], we will get two fractions with zero denominator which would be undefined.
What is the answer to 3/2x-5=5/6x-3
Answer:
x=3
Step-by-step explanation:
3/2x-5=5/6x-3
3/2x-5-5/6=5/6x-3-5/6x
2/3x-5=-3
2/3x-5+5=-3+5
2/3x=2
(3/2)*(2/3x)=(2)*(3/2)
x=3
Hope this helps a bit,
Flips
Write an equation of the line that is parallel to y=1/2x+3 and passes through the point (10,-5)
Answer:
13
Step-by-step explanation:
x y
y=1/2x+3 and passes through the point (10,-5) 10 = x and -5 =y 1/2(10) - this mean times
-5 = 1/2(10) +3
1/2(10/1) = 1 x 10 and 2 x 1 = 10/2 = 5
-5 = 5 + 3 = 7
-5 = 7 + 5 + 7
+5 +5
= 13
(I wish You'll understand)
HELPPP!!!
—
The graph shows how fast a strand of human hair grows.
How many inches would the hair have grown in 5 months
Answer:
2 and a half @ 2.5 inches (sorry i can't type the fraction)
Step-by-step explanation:
english is my second language so sorry if you doesn't understand:(1/2, 1/4)=(x,y)
based on the graph shown that each grid on the y axis represents 1/4, that is the smallest scale stood in the y axis.
this means 2 grid= 1/4 x 2 = 1/2 @ 0.5 inches.
since the '5 months-hair-length' is above about 2 grid above 2 inch:
2 inch + 0.5 inch= 2.5 inch
Answer:
D
Step-by-step explanation:
Can someone please help me out with this question ??
Answer:
A = 28 units ^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
The base is 14 and the height is 4
A = 1/2 (4) * 14
A = 28 units ^2
the scatter plot graph shows the average annual income for a certain profession based on the number of years of experience which of the following is most likely to be the equation of the trend line for this set of data?
a. I=5350E +37100
b. I=5350E-37100
c. I=5350E
d. E=5350E+37100
Answer:
a. I=5350E +37100
Step-by-step explanation:
The trend line does not start at the origin so we can immediately rule out option C
The equation should be in slope intercept form so we can rule out option D, since E is the x axis and we are looking for y = mx + b not x = mx + b.
Option B is ruled out because if we plug in the value of E = 2 then we get:
I = 5350(2) - 37100
I = 10700 - 37100
I = -16400
Which is wrong since we are not in the negative so your answer is A
Answer:
wdawdwd
Step-by-step explanation:
At a town meeting, 9% of the people there vote to build a new town hall. If there are 2,000 people at the meeting, how many vote for a new town hall?
Answer:
180 voted in favor
Step-by-step explanation:
To find out how many people vote for the new town hall, take the number of people who voted and multiply by the percent who voted in favor
2000 * 9%
2000 * .09
180
180 voted in favor
Subtract these polynomials (6x^2-x+8) - (x^2+2)
A) 7x^2-x+6
B) 5x-x+6
C) 5x^2-x+10
D) 7x^2-x+10
Which one is it??
Answer:
option B
Step-by-step explanation:
(6x^2-x+8) - (x^2+2)
6x^2-x+8 - x^2-2
5x^2-x+6
Pablo wants to save $800 to buy a TV. He saves $19 each week. The amount, A (in dollars), that he still needs after
weeks is given by the following function.
A(w) = 800-19 w
Answer the following questions.
(a) How much money does Pablo still need after 6 weeks?
si )3
(b) If Pablo still needs $477, how many weeks has he been saving?
I weeks
Answer:
a) $686
b) 17 weeks
Step-by-step explanation:
a) Set [tex]w=6[/tex], as Pablo has already saved for 6 weeks. Plug in the value and solve for [tex]A(6)[/tex].
[tex]A(w)=800-19w[/tex]
[tex]A(6)=800-19(6)[/tex]
[tex]A(6)=800-114[/tex]
[tex]A(6)=686[/tex]
Pablo still needs $686.
b) Set [tex]A(w)=477[/tex], as it is the "final amount" for that week. Solve for [tex]w[/tex].
[tex]A(w)=800-19w[/tex]
[tex]477=800-19w[/tex]
[tex]-323=-19w[/tex]
[tex]w=17[/tex]
Pablo has been saving for 17 weeks if he still needs $477.
Answer:
Pablo wants to save $800 to buy a TV.
He saves $19 each week.
The amount, A (in dollars), that he still needs after weeks is given by the following function.
[tex]A(w)= 800-19w[/tex]
(a) How much money does Pablo still need after 6 weeks?
Putting w = 6 in the equation;
[tex]A(6)= 800-19(6)[/tex]
= $686
(b) If Pablo still needs $477, how many weeks has he been saving?
This means Pablo has already saved [tex]800-477=323[/tex] dollars
Means he has saved for [tex]\frac{323}{19}=17[/tex] weeks.
He has been saving for 17 weeks now.