Answer:
The y-intercept is (0,0)
The x-intercepts are (-3,0), (0,0), and (4,0)
Step-by-step explanation:
So we have the function:
[tex]f(x)=-x^3+x^2+12x[/tex]
And we want to solve for the x- and y-intercepts.
Y)
To solve for the y-intercept, recall that the y-intercept is when the graph touches the y-axis. At that point, the x values is 0. Thus, to find the x-intercept, substitute 0 for x:
[tex]f(x)=-(0)^3+(0)^2+12(0)[/tex]
Simplify:
[tex]f(x)=0[/tex]
So, the y-intercept is (0,0)
X)
To solve for the x-intercept(s), set the function equal to 0 and solve for x:
[tex]0=-x^3+x^2+12x[/tex]
First, factor out a negative x:
[tex]0=-x(x^2-x-12)[/tex]
Factor within the parentheses:
[tex]0=-x(x-4)(x+3)[/tex]
Zero Product Property:
[tex]-x=0\text{ or } x-4=0\text{ or } x+3=0[/tex]
Divide by -1 on the first one. Add 4 on the second one. And subtract 3 on the right:
[tex]x=0\text{ or } x=4\text{ or } x=-3[/tex]
So, our x-intercepts are:
[tex](-3,0), (0,0), (4,0)[/tex]
And we're done :)
A restaurant has 6 1/2 pies in the refrigerator. If it sells 1 3/4 pies each day , how many days will the pies last?
Answer:
[tex]\boxed{3}[/tex]
Step-by-step explanation:
[tex]6\frac{1}{2} /1\frac{3}{4} =\frac{13}{2} /\frac{7}{4}=\frac{13}{2} *\frac{4}{7}=\frac{52}{14} =\frac{26}{7} =3.714[/tex]
Answer:
6 1/2 pies = 26/4 pies and 7/4 are sold per day
It will last
26/4 divided by 7/4 days =
104 / 28 = 26 / 7 = 3.7142857143 days
Step-by-step explanation:
please help with all the questions
Answer:
a. ∠ABE b. ∠DC c. obtuse angle d.∠ FBC: OBTUSE ANGLE
∠EBF: REFELX ANGLE
∠ABC: ACUTE ANGLE
e. ∠ DBC f. 108+117 ÷36= 6.25
Step-by-step explanation:
Question 3.
X and Y are
supplementary angles. Given X=72°, find the value of Y.
Answer:
Y = 108°Step-by-step explanation:
Since X and Y are supplementary angles it means that the sum of their angles add up to 180°
To find Y , add X and Y and equate it to 180° and solve
That's
X + Y = 180
Y = 180 - X
X = 72°
Y = 180 - 72
We have the final answer as
Y = 108°Hope this helps you
Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedure
x1+4x2 =11
2x1+7x2=18
Find the solution to the system of equations.
Answer:
The solution of the Given matrix
( x₁ , x ₂ ) = ( - 5 , 4 )
Step-by-step explanation:
Step(i):-
Given equations are x₁+4 x₂ = 11 ...(i)
2 x₁ + 7 x₂= 18 ...(ii)
The matrix form
A X = B
[tex]\left[\begin{array}{ccc}1&4\\2&7\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\8\\\end{array}\right][/tex]
Step(ii):-
[tex]\left[\begin{array}{ccc}1&4\\2&7\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\8\\\end{array}\right][/tex]
The Augmented Matrix form is
[tex][AB] = \left[\begin{array}{ccc}1&4&11\\2&7&18\\\end{array}\right][/tex]
Apply Row operations, R₂ → R₂-2 R₁
[tex][AB] = \left[\begin{array}{ccc}1&4&11\\0&-1&-4\\\end{array}\right][/tex]
The matrix form
[tex]\left[\begin{array}{ccc}1&4\\0&-1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\-4\\\end{array}\right][/tex]
The equations are
x₁ + 4 x₂ = 11 ...(a)
- x ₂ = - 4
x ₂ = 4
Substitute x ₂ = 4 in equation (a)
x₁ + 4 x₂ = 11
x₁ = 11 - 16
x₁ = -5
Final answer:-
The solution of the Given matrix
( x₁ , x ₂ ) = ( - 5 , 4 )
Find the domain. Write your answer in interval notation.
Answer:
[-4, 2]
Step-by-step explanation:
the domain is between -4 and 2, but it also includes those numbers, so you get:
[-4, 2]
How do the 6 in 683.5 and 30.67 compare
Answer:
well the 6 in 683.5 is in the hundreds, and the 6 in 30.67 is in the tenths so the one in 30.67 is actually smaller than the 6 in 683.5
Step-by-step explanation:
Jackson mows 1/3 of his neighbors lawn in 1/6 of an hour. At this rate, how many lawns of the same size could he mow in one hour?
there were 5,2000 hot sold at the ballpark last night. the attendance was 14,5,507 .The hot dogs cost 375 each .The night before there were 4,100 hot dog sold. the attendance that night was were 17,129 .The owner of the ballpark wants o know how many hot dogs were sold at the last two games.
Answer:
I think u messed ur numbers up
Solve for v. -8 +5v=-33
Answer:
v = -5
Step-by-step explanation:
Step 1: Write out equation
-8 + 5v = -33
Step 2: Add 8 on both sides
-8 + 8 + 5v = -33 + 8
5v = -25
Step 3: Divide both sides by 5
5v/5 = -25/5
v = -5
Answer:
Solve
-8 +5v=-33
So 5v=-33+8
(-8 became 8 because we brought it back to the other side to have the v 《5v》 alone and the numbers alone )
5v= -25
So v=-25/5
We simplify -25/5
v=-5
Which represents the solution set of the inequality 5x-9321?
O xs"?
23
O x
O x26
O x56
find the inverse of each of the given function f(x)=4x-2
Answer:
y= x-2 /4
Step-by-step explanation:
x=4y+2
4y=x-2
answer:
y= x-2 / 4
What is the general form of a conditional statement
The general form of a conditional statement is written as "if p, then q" in which p is the hypothesis and q is the conclusion.
PLEASE ANSWER
The two pentagons seen below are similar figures. What is the scale factor from the
small pentagon on the left to the large pentagon on the right? The pentagons are not
drawn to scale.
Answer:
The scale factor is 2.2
Step-by-step explanation:
To find the scale factor, you look at the length of any two sides that correspond to each other. For example, in the diagram we can see that the side with the length of 4 on the smaller pentagon corresponds to the side with the length of 8.8 on the larger pentagon.
To find the scale factor, you divide the length of the side of the larger pentagon, by the length of the side of the smaller pentagon.
[tex]\frac{8.8}{4} = 2.2[/tex]
The scale factor is 2.2
Hope this helps!
Write an equation for a line parallel to g(x) = 3x − 1 and passing through the point (4, 9)
Answer: y=3x-3
Step-by-step explanation:
To find a line that is parallel to the function, we know that the slope must stay the same. Parallel lines NEVER cross. This means the slope MUST be the same. All we have to change is the y-intercept. We can use the given point to find the correct y-intercept.
y=3x+b [plug in (4,9)]
9=3(4)+b [multiply]
9=12+b [subtract both sides by 12]
b=-3
Now, we know that the y-intercept is -3, we can put together our equation. y=3x-3
Match the vocabulary to the correct operation practice writing algebratic expressions
AND MORE QUESTIONS PLEASE ANSWER THEM AND IF YOU DO YOU WILL BE MARKED BRAINLIEST AND I SWEAR ILL LOVE YOU PLS :(
Hey there! The answer is C. I can help you with more if you need it.
What is the value of x if x * x + 2x -35 = 0?
To sell an additional kilogram of snig, how much does the price need to decrease?
Hello. This question is incomplete. The full question is:
There is a harvest festival each year on the planet Bozone. During that time, most of the Bozone residents sit down to rejoice and eat roast snig. Past history shows that a reasonable price-demand equation is:
p=300−4x where x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Bozat.
To sell an additional kilogram of snig, how much does the price need to decrease? Price needs to decrease by Bozats.
Answer:
It is necessary to decrease 4 bozats in the price so that an additional 1 kq of snig can be sold.
Step-by-step explanation:
You can achieve this result through a very simple and straightforward calculation.
First it is necessary that you assume the equation (x + 1) for X. This way you will have the mathematical expression:
300-4 (X + 1) = 300-4x-4.
can someone help me please.... with number 6,7,8,9
Answer :
6. x=28
7.x =6
8. x =9
9. x =9
Step-by-step explanation:
[tex] \frac{x + 2}{10} = 3[/tex]
[tex]x + 2 = 3 \times 10 \\ x + 2 = 30 \\ x = 30 - 2 \\ x = 28[/tex]
6.
(x+2)/10 = 3
Cross multiply
x+2 = 10 ×3
x+2 =30
Collect like terms and simplify
x =30-2
x = 28
7.
[tex]8x + 9 - 5x = 27 \\ 8x - 5x = 27 - 9 \\ 3x = 18[/tex]
[tex] \frac{3x}{3} = \frac{18}{3} \\x = 6[/tex]
8x +9 -5x= 27
Collect like terms and simplify
8x-5x =27-9
3x =18
Divide both sides of the equation by 3
3x/3 = 18/3
x = 6
8.
10x+8=8x+26
Collect like terms
10x-8x=26-8
2x = 18
Divide both sides of the equation by 2
2x/2 = 18/2
x = 9
9.
2(x-5)+4x=x+35
Use 2 to open the bracket
2 × x =2x
2×(-5) =-10
2x-10+4x =x+35
Collect like terms and simplify
2x+4x-x = 35+10
5x = 45
Divide both sides of the equation by 5
5x/5 = 45/5
x =9
Compare this graph to the previous graphs in lesson 1 and 2. Explain how the are different or similar.
Answer:
Hello!
You can compare graphs by looking at their rate of change, and y intercept.
Another way you can compare graphs is that you can see if both graphs' lines intersect. I hope this helps you! :)
Have a nice day! :D
Mrs.lyons bought some chocolate and lollipops on the ratio of 7:4. the price of all the chocolate to the price of all lollipops was in the ratio of 5:2. she spent $127.40 in all. if each lollipop costs 15 cents less tan each chocolate, how many lollipops did se buy?
Answer:
5
Step-by-step explanation:
Need help on this question anyone please!
Answer:
f(3)=2
Step-by-step explanation:
To find f(3), we simply need to find the ordered pair at x=3.
From the graph, we can see that the ordered pair at x=3 is (3,2).
Thus, f(3)=2.
And we're done!
Let f(x)
-4x - 6 and g(x) = 3x + 5. Find (fºg)(-3).
Answer:
Step-by-step explanation:
f(g(-3)
g(-3) = 3(-3) = -9 - 5 = -14
f(-14)= -4(-14) - 6 = 56 - 6 = 50
Given f(x) = 3x-2 and g(x)=-1/2x3, find the following problems
1. F(5).
2. G(8)
3.f(-8)
4.G(-10)
Answer:
f(5)=13 g(8)=12 f(-8)= -26 g(-10)=-15
Step-by-step explanation:
1) 5*3=15
15-2=13
2) 8*.5*3=12
3) -8*3=-24
-24-2= -26
4) -10*.5*3= -15
3x+4y=15+6y solve for y (PLZ HURRY)
Answer:
Subtract 4y from both sides of the equation.
48<4(-7+n)
Um what’s the answer :)
Answer:
n>19
Step-by-step explanation:
HELP Pls !!
Find the coordinates of the midpoint of the line segment with endpoints (8,-2) and (-6,-5).
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
[tex]M=(\frac{8-6}{2},\frac{-2-5}{2})[/tex]
[tex]M=(1,-\frac{7}{2})[/tex]
Hope this helps.
頑張って!
I am thinking of a number... 1. The number is greater than 6 x 4.2. The number is even. 3. The number is a multiple of 3. 4. The
difference of the digits is four. 5. What is my number?
Ready? Enter your answer here.
Answer:
48
Step-by-step explanation:
48 is greater then 6×4.2
It's even
It's a multiple of 3
the difference is 4
100 POINTS!! A company has 400 employees. There are 300 female employees. There are 80 employees who are under the age of 25. The probability of randomly selecting an employee who is female or is under the age of 25 is 85%. What is the probability of randomly selecting an employee who is female and under the age of 25?
95%
10%
20%
75%
15%
Answer:
probability of randomly selecting an employee who is female and under the age of 25= 0.15
In percentage= 15%
Step-by-step explanation:
There are 300 female employees. There are 80 employees who are under the age of 25
Probabilty of choosing a female employees= 300/400
Probabilty of choosing a female employees= 0.75
Probabilty of choosing an employees under the age of 25
= 80/400
Probabilty of choosing an employees under the age of 25
= 0.2
probability of randomly selecting an employee who is female and under the age of 25= 0.2*0.75
probability of randomly selecting an employee who is female and under the age of 25= 0.15
In percentage= 0.15*100
In percentage= 15%
help please we can’t figure this out
Answer:
f(-2) = g(-2)
Step-by-step explanation:
The lines intersect at the point (-2, 4). That means that the solution of the system of equations is (-2, 4). When x = -2, the two functions, f(x) and g(x), have the same value, 4.
That means that f(-2) and g(-2) are equal and are both equal to 4.
Answer: f(-2) = g(-2)
What is 42% of $122?
(NOT in college)