Based on the graph how many distinct real number solutions does the equation x^3-3x^2+4=0 have
Answers
Answer:
2 solutions
Step-by-step explanation:
In order to answer a question "based on the graph," we need to have a graph of the equation. A graph provided by a graphing calculator is attached.
The cubic intersects the x-axis at two distinct points.
There are two (2) distinct real solution to the equation. (x = -1, x = 2).
Related Questions
What is the slope of the line
Answers
Step-by-step explanation:
Look at the points (0,-3) and ( 3,0)
slope, m = rise / run = 3 / 3 = 1
Answer:
1
Step-by-step explanation:
y=x+3
2. Name the numerator and the denominator in each fraction.
a.
11/12
b. 7512
C.
12/0
d. 978
Answers
Answer:
a. N=11
D=12
b. N=1
D=7512
c. N=12
D=0
d. N= 1
D=978
What is the following sum?
5(3squareroot x) +9 (3squareroot x)
Answers
\(\sf{14(\sqrt[3]{x}) }\)
Step-by-step explanation:
\(5(\sqrt[3]{x})+9(\sqrt[3]{x})\\\\(5+9)(\sqrt[3]{x})\\\\14(\sqrt[3]{x})\)
please help me I DONT REMEMBER HOW TO DO THIS
Answers
Answer:
The answer is 6.72 x 10⁷
Step-by-step explanation:
The answer is 6.72 x 10⁷ because I solved it and I got this answer.
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answers
Answer:
I think its C
Step-by-step explanation:
Will mark brainiest for CORRECT answer!
Answers
ANSWER: y = (1/2)x - 1.
To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.
First, let's find the derivative of the function y = √(x - 3) using the power rule:
dy/dx = 1/(2√(x - 3))
Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:
m = dy/dx = 1/(2√(4 - 3)) = 1/2
So, the slope of the tangent line is 1/2.
Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:
y - y1 = m(x - x1)
Substituting the values (x1, y1) = (4, 1):
y - 1 = (1/2)(x - 4)
Simplifying the equation:
y - 1 = (1/2)x - 2
y = (1/2)x - 1
Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.
Answer:
y = (1/2)x - 1/2
Step-by-step explanation:
Step 1: Find the derivative of the function
The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:
d/dx (x^n) = nx^(n-1)
Applying this rule to our function, we get:
dy/dx = d/dx sqrt(x - 3)
To differentiate the square root function, we can use the chain rule of differentiation which states that:
d/dx f(g(x)) = f'(g(x)) * g'(x)
Applying this rule to our function, we have:
g(x) = x - 3
f(g) = sqrt(g)
So,
dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1
Substituting g(x) = x - 3, we get:
dy/dx = 1/(2*sqrt(x - 3))
So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).
Step 2: Evaluate the derivative at the given point
To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:
dy/dx = 1/(2*sqrt(4 - 3)) = 1/2
So, the slope of the tangent line at the point (4, 1) is 1/2.
Step 3: Use point-slope form to write the equation of the tangent line
Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:
y - y1 = m(x - x1)
where (x1, y1) is the point on the line and m is the slope of the line.
Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:
y - 1 = (1/2)*(x - 4)
Simplifying this equation, we get:
y = (1/2)x - 1/2
So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.
Hope this helps!
Shoes are on sale for
15% off the regular
price. The discount is
$6. What is the regular
price of the shoes?
Answers
Answe: She also received a coupon for 15% off the sale price. ... in price, in percentage terms, between the initial price of the shoes and the sale price?. The first way is to find the amount of the discount and subtract from the original price
Step-by-step explanation:
Find the output, y, when the input, x, is -9.
y =
Answers
Answer:
when x=-9, y=1
Step-by-step explanation:
the graph shows when the x is at -9, the y is at 1
Each table below shows the time and distance Samantha and her friends traveled on four different road trips. In which Table is there a linear relationship between time and distance?
Include explanation
Answers
Answer:
C
Step-by-step explanation:
C 160/2 = 80
240/3 = 80
400 / 5 = 80
480 / 6 = 80
C is linear
In table C, there is a linear relationship between time and distance
The correct answer is Table C
A linear relation is a relationship between distance (d) and time (t) when a distance changes over time at a constant rate.
From table A
At t = 2 hour, d = 120 miles
\(\frac{Distance}{Time} =\frac{120}{2}=60 miles/hour\)
At t = 4 hour, d = 220 mile
\(\frac{Distance}{Time} =\frac{220}{4}=55 miles/hour\)
The relationship between distance and time is not linear.
From table B
At t = 1 hour, d = 70 miles
\(\frac{Distance}{Time} =\frac{70}{1}=70 miles/hour\)
At t = 2 hour, d = 150 miles
\(\frac{Distance}{Time} =\frac{150}{2}=75 miles/hour\)
The relationship between distance and time is not linear.
From table C
At t = 2 hour, d = 160 miles
\(\frac{Distance}{Time} =\frac{160}{2}=80 miles/hour\)
At t = 3 hour, d = 240 miles
\(\frac{Distance}{Time} =\frac{240}{3}=80 miles/hour\)
At t = 5 hour, d = 400 miles
\(\frac{Distance}{Time} =\frac{400}{5}=80 miles/hour\)
The relationship between distance and time is linear.
From table D
At t = 1 hour, d = 75 miles
\(\frac{Distance}{Time} =\frac{75}{1}=75 miles/hour\)
At t = 2 hour, d = 150 miles
\(\frac{Distance}{Time} =\frac{150}{2}=75 miles/hour\)
The relationship between distance and time is not linear.
Therefore, In Table C, there is a linear relationship between time and distance
For more information:
https://brainly.com/question/22246569
A normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95. Find the z-score of 235.90.
Answers
The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.
What is mean?The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.
Given:
The standard deviation, d = 182.56,
The mean, m = 265.95,
The observation value, X = 235.90
Calculate the z score by the following formula given below,
Z = (X - m) / d,
Here, Z is the Z score,
Z = 235.90 - 265.95 / 182.56
Z = -0.165
Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.
To know more about mean:
https://brainly.com/question/28108712
#SPJ1
Solve for s.
1/2 s =7/2
A s= 1/7
B s=2/7
C s= 3
D s =7
Answers
To solve this equation, first get rid of the fractions.
We do this by multiplying both sides by the denominator, 2.
So we have (2)(1/2s) = (7/2)(2).
On the left, we have s and on the right, we have 7.
So we have s = 7.
Answer:
he got right
Step-by-step explanation:
A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answers
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
People use water to cook, clean, and drink every day. An estimate of 22.7% of the water used each day is for cooking. If a family uses 68.1 gallons of water a day for cooking, how many gallons do they use every day?
Answers
We know that 22.7% of this amount is used for cooking,the family uses 300.001 gallons of water every day.
What is gallons?
Gallon is a unit of measurement used to quantify liquid volume in both the US customary and British imperial systems of measurement.
Let's start by using algebra to solve the problem.
Let x be the total amount of water the family uses every day. We know that 22.7% of this amount is used for cooking, which means:
0.227x = 68.1
To solve for x, we can divide both sides of the equation by 0.227:
x = 68.1 ÷ 0.227
x = 300.001 (rounded to three decimal places)
Therefore, the family uses 300.001 gallons of water every day.
To know more about equation visit:
brainly.com/question/28874341
#SPJ1
Question 12 of 22
Select the action you would use to solve = 16. Then select the property that
justifies that action.
A. Property: Multiplication property of equality.
B. Action: Add 4 to both sides.
C. Property: Addition property of equality.
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
OF Action: Multiply both sides by 4.
Answers
Answer:
The correct answer is:
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
Graph the solution to the inequality on the number line. w−0.9>−2.1 First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.
Answers
The solution to the inequality \(w - 0.9 >-2.1\) is \(w >-1.2\)
InequalityInequalities are used to represent expressions of unequal values
The inequality is given as:
\(w - 0.9 >-2.1\)
Add 0.9 to both sides of the inequality
\(w - 0.9+ 0.9 >-2.1 + 0.9\)
Simplify the inequality
\(w >-1.2\)
The above inequality means that:
The arrow on the number line points to the rightThe arrow begins at point -1.2 with an open circle or dotted linesSee attachment for the inequality that represents \(w >-1.2\)
Read more about inequalities at:
https://brainly.com/question/11234618
A blueprint used a scale of 1.5 cm = 2 m to
represent a grain silo. If the height of the silo in
the drawing was 33 cm, how tall is the actual grain
silo?
Answers
Answer: The Silo is 44 meters tall
Step-by-step explanation:
To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)
The functions and are defined as follows.
r(x)= -x+1
s(x)= x^2+2
Find the value of r(s(5))
Answers
Answer: \(r(s(5))=-26\)
Step-by-step explanation:
\(s(5)=5^2 +2=27\\\\r(s(5))=r(27)=-27+1=-26\)
Expression A: 3x + 4
Expression B: 2+ 3x + 2
Which statement can be used to show that these expressions are equivalent?
A. The expressions name the same number regardless of the value
of x.
B. Both expressions involve addition,
C. Each expression includes the term 3x.
D. 3x + 4 can be rewritten as 2 + 3x + 2 using the distributive
property
Answers
Answer:
D.
Step-by-step explanation:
3x + 4 is another way of writing 2 + 3x + 2, if you add the 2's together you get a four (3x + 4).
Find the measure of <2
Answers
Answer:
<2 = 28°
Step-by-step explanation:
3y+ 53 = 7y -55 (Corresponding angles)
collect like terms
-4y= -108
y= 27°
3y-53 = 28
<2 =28° (Alternating angles ; 2 parallel lines)
You measure a foam roller in the shape of a cylinder. The foam roller has a diameter of 5.9375 inches and a height of 53.5 inches. About how many cubic inches of foam were used to make the roller?
Answers
Answer:
Volume V ≈ 1481.3269 cubic inches
Step-by-step explanation:
Volume V of a cylinder is given by the formula
V = πr²h where r = radius of the base of the cylinder and h the height
Here we are given the diameter, d = 5.9375 inches
Radius r = d/2 = 5.9375/2 = 2.96875 in
Height h = 53.5 in
V = π x 2.9685² x 53.5 ≈ 1481.3269 cubic inches
Answer V ≈ 1481.3269 cubic inches
Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?
Answers
Answer:
59
Step-by-step explanation:
6 plus 4 equals 8 plus 9
Identify the coordinates of each vertex of triangle XYZ.
Apply the 90° counterclockwise rotation rule, which states that when rotating a point 90° counterclockwise about the origin, the new coordinates of the point will be (-y, x).
Substitute the coordinates of each vertex into the rotation rule to find the coordinates of the corresponding vertex in X'Y'Z'.
For example, let's say that the coordinates of triangle XYZ are:
X = (2, 3)
Y = (-1, 4)
Z = (0, -2)
To find the coordinates of X'Y'Z', we can apply the rotation rule to each vertex as follows:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Therefore, the coordinates of X'Y'Z' after rotating triangle XYZ 90° counterclockwise about the origin are:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Note that the order of the vertices may change after the rotation, but the coordinates of each vertex will correspond to the same vertex in the original triangle.
Mark is building two separate pig-pens. The width of pig-pen A is w. The length of pig-pen A is 4 feet longer than its width. The width of pig-pen B is 5 feet less than the width of pig-pen A. The length of pig-pen B is 2 times its own width. If the both pig-pens have the same perimeter, then find the dimensions of each pig-pen.
Answers
Answer:
The width of pen A is 7 feet,
The Length of Pen A is 11 feet,
The width of Pen B is 6 feet,
The Length of Pen B is 12 feet
Step-by-step explanation:
The width of pen A is 7 feet,
The Length of Pen A is 7 + 4 = 11 feet,
The width of Pen B is 7+4-5 = 6 feet,
The Length of Pen B is 2*(7+4-5) = 12 feet
\(w+w+w+w+4+4=(w+4-5)+(w+4-5) +2*(w+4-5)+2*(w+4-5)\\4w+8=6w-6\\14=2w\\w=7\\\)
PLEASE HELP! i have by the end of the day to turn this in, PLEASE DONT GUESS
Answers
hope it helps
Answer:
45 degrees
Step-by-step explanation:
All 3 angles have to add up to 180, so you have:
\(x + 32 + 103 =180\)
\(x + 135 = 180\)
subtract 135 from both sides
\(x = 45\)
how much is 78ml when you turn it to litres
Answers
Answer:
0.078 liters
Step-by-step explanation:
78ml=78/1000L
78ml=0.078ml
The equation shows the cost, c, for a group attending a basketball game based on the number of people, p. How many people could attend for a cost of 100 dollars? C = 8p + 12. 9, 63, 11 or 441
Answers
Given the equation for determining the cost expressed as:
C = 8p + 12 where:
p is the number of people attending a basketball game
To determine the number of people that could attend for a cost of 100 dollars, we will substiute C = 100 into the equation and calculate the value of p as shown:
C = 8p+12
100 = 8p+12
subtract 12 from both sides
100-12 = 8p+12-12
88 = 8p
8p = 88
Divide both sdes by 8:
8p/8 = 88/8
p = 11
Hence the number of people that can attend for a cost of 100 dollars is 11 people
What is the first term of the quotient of the following division problem?
(x³ - 1) = (x + 2)
O -0.5
O 1
O x²
Ox^4
Answers
The solution to the algebraic problem is \(x^{2}\)
What is an Algebraic Equation?
An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.
Solution:
(\(x^{3}\) – 1) = (x+2)
On dividing (\(x^{3} - 1\)) by (x+2)
The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.
To learn more about Algebraic Equation from the given link
https://brainly.com/question/4541471
#SPJ9
The sum of three numbers is 84. The second number is 2 times the third.The third number is 8more than the first. What are the numbers?
Answers
Answer:
let the the first number X,
second number be 2×(8x) or. 16x
third number be 8x
equation 1 ,
X + 16x + 8x = 84
or. 25x = 84
or. x = 84 ÷ 25 = 3.36
Graph x > 1. WILL MARK BRAINLY
Answers
You have the correct answer. The graph of x > 1 involves an open hole at 1 and the shading is to the right. This visually describes any x value that is greater than 1. So for instance, x = 2 works but x = 0 does not.
The open hole means we exclude x = 1 itself from the shaded solution set.
Sally owns a restaurant in Wooville. The city is trying to get a minor league team to move there in 2021, either to location A (near her restaurant) or location B. The team might stay in location C in another city. The probability of these events, and her estimated annual profit in 2021 are shown in the table below.
Answers
The standard deviation of the restaurant profits in 2021 is given by $71181.
Restaurant profit for outcome 'move to A' = $ 260000
Restaurant profit for outcome 'move to B' = $ 120000
Restaurant profit for outcome 'stay in C' = $ 100000
The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.
Standard deviation of the restaurant profits in 2021 is given by
= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)
= $ √(((100000)² + (40000)² + (60000)²)/3)
= $ √(15200000000/3)
= $ √5066666667
= $ 71181 (rounded to the nearest dollar)
Hence standard deviation of the restaurant profits in 2021 is given by $71181.
To know more about standard deviation here
https://brainly.com/question/12402189
#SPJ1
The question is incomplete. The complete question will be -
How many cubic feet of warehouse space are needed for 350 boxes 11in. by 8in. by 12in?
Answers
Answer:
214 cubic feet (rounded to the nearest cubic foot)
Step-by-step explanation:
Step 1 Determine the volume of 1 box
Volume of a box or rectangular prism = dimensions multiplied by each other
Here, the given dimensions are 11 in by 8 in by 12 in
So the volume of one box would be 11 x 8 x 12 = 1056 cubic inches
Step 2 Determine volume of all 350 boxes
Volume of 1 box = 1056
So volume of all 350 boxes = 1056 x 350 = 369600 cubic in
Step 3 Convert cubic in to cubic ft
To convert to cubic feet we divide the amount of cubic inches by 1728 (this is because there are 1728 cubic inches in 1 cubic foot)
369600 / 1728 = 214 cubic feet (to the nearest cubic foot)
214 cubic feet of warehouse space is required for 350 boxes with the dimensions of 11in by 8in by 12in