The zeros of
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
are
x=0,x=-2,x=-5x=0,x=−2,x=−5
EXPLANATION
The given function is
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
To find the zeros of the above function, we just have to equate the function to zero and solve for x.
x(x + 2)(x + 5) = 0x(x+2)(x+5)=0
This implies that,
x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0
x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5
To graph the above function, we need to consider the multiplicity.
We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.
We also need to consider the position of the graph on the following intervals,
x < - 5x<−5
When
x = - 10x=−10
y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0
The graph is below the x-axis.
- 5 \: < \: x \: < \: - 2−5<x<−2
When
x = - 3x=−3
y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0
The graph is above the x-axis.
- 2 \: < \: x < \: 0−2<x<0
when
x = - 1x=−1
y = -1(1)(4) \: < \: 0y=−1(1)(4)<0
The graph is below the x-axis.
Finally the interval,
x \: > \: 0x>0
when
x = 1x=1
y = 1(3)(6) \: > \: 0y=1(3)(6)>0
The graph is above the x-axis.
We can now use the above information to sketch graph as shown in the diagram above
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 6% vinegar, and the second brand contains 11% vinegar. The chef wants to make 380 milliliters of a dressing that is 7% vinegar. How much of each brand should she use?
Answer: To make a 310mL mixture that contains 8% vinegar, use 186mL of the first brand and 124mL of the second brand.
Step-by-step explanation:We want the total mixture to be 310mL so: F + S = 310
Also, you want the total mixture to contain 8% vinegar so: .06F + .11S = .08(310)
Now, we can solve the system of equations using substitution.
F + S = 310
.06F + .11S = .08(310)
F = 310 - S [solve 1st equation for F]
.06(310 - S) + .11S = .08(310) [substitute into 2nd equation]
18.6 -.06S +.11S = 24.8
.05S = 6.2
S = 124
F + 124 = 310 [substitute answer for S back into original equation]
F = 186
A company is shipping toys
to stores in boxes. Each
box will hold 16 toys.
How many boxes will be
needed to ship 2,944 toys?
Answer:
184 boxes
Step-by-step explanation:
Hope it helps:)
plesae urgent hurryy for brainlist !!!!!!!!!!!
i have some free things for yaaal
1+1=
Step-by-step explanation:
what are the free things
pls give me brainliest
0.69 is an integer true or false
Help I have no idea what to do
Answer:
false
Step-by-step explanation:
An integer is a whole number and 0.69 is not a whole number.
Help!! Ill give 100 points!
Answer:
It will take about half an hour more for maria to finish his/her project than Juan.
Step-by-step explanation:
9/10 > 2/6
=> 54/60 > 20/60
=> 34/60
Therefore, it will take about half an hour more for maria to finish his/her project than Juan.
Hoped this helped.
Answer:
50min estimate 3/4h
Step-by-step explanation:
find 9/10h
60 : 10 * 9 = 54 min
find 2/6h
60 : 6 * 2 = 4 min
54 - 4 = 50 min
Mr. Jones bought a piece of land for 60 000. The land increased in value by 20% in a year. The new value of the land is
Answer:
$72,000
Step-by-step explanation:
If we take 60,000 and then take 20 percent of it, we get 12,000. Then we add 12,000 to 60,000 and it gives us 72,000.
How many solutions does 8 + x/6 = x/6 - 4 + 5x/12 have?
A. Two solutions.
B. No solutions
C. Infinitely many solutions
D.One solution
Answer:
It has got one solution since it is a linear equation which falls under polynomials
Your parents have given you some money to spend with your friends at Water World. You already have purchased a banana split for $7, and you end the day with $17. WRITE AND SOLVE an equation to find how much money you started the day at Water World with.
Answer:
$17=x-$7
x=$24
Step-by-step explanation:
Carry the 7 to the other side
$17+$7=x
x=$24
what is the percent increase in 300 and 375
Answer:
25
Step-by-step explanation:
Answer:
300/375=0,8
it decrease
Simplify
8(x+3)²/2(x + 3)
Answer:
4x+12
Step-by-step explanation:
4(x+3)²/x+3=4x+12
If the only force acting on the player is gravity what is F in F=ma?
Answer:
F is the force due to gravity
Step-by-step explanation:
F is the force resulting from gravity acting on the player whose mass is m. 'a' is the acceleration due to gravity, about 9.8 meters/second².
Find the difference between 7/10 and 1/5
Answer:
Its d 5/10
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Can someone pleaseee answer this
Answer:
Answer is in the attached file.
Answer:
x = 80
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
2x -48 = x +32
x = 80 . . . . . . . . . . add 48 -x to both sides
Sophia and her brother combined to read a total of 40 books over the summer. Sophia read four times as many books as her brother. How many books did each person read? show work please
Answer:
Sophia read 32 books and her brother read 8
Step-by-step explanation:
Represent Sophia as 4x and her brother as x
4x + x = 40
5x = 40
x = 8
Therefore, her brother read 8 books and Sophia read 32 books
10-4/4x89-1/2+43992/69x174
10.127781530000000000
Can someone please help me with this easy math problem?
Answer: 644.4 sq cm
Step-by-step explanation:
First transform the 8.5 and 11.75 into centimeters as that is what you are trying to find do this by multiplying each sum by 2.54
A.)8.5*2.54=21.59 centimeters
B.)11.75*2.54=29.845
C.)Now to find the Area we multiply the two
21.59*29.845=644.35355
Which we an round do 644.4
Suppose you know the area of the yard is 7,500 square feet. How can you find the value of a?
—help and it comes with a picture
Answer:
a = 50
Step-by-step explanation:
From the introduction, you know that the area is 3a^2
You also know that it is 7500 square feet. \
So the two must be equal
3a^2 = 7500 Divide by 3
a^2 = 7500/3
a^2 = 2500
The square root of 2500 is 50
sqrt(a^2) = sqrt(2500)
a = 50
omg please help for brainlist !!!!!!!!!!!!!!!!!!!
Answer:
f(x) is linear
g(x) is exponential
Step-by-step explanation:
A linear function will always have the same rate of change between equally distant points, while an exponential function will have an increasingly large rate of change between equally distant points.
First, look at f(x). All these points are equally distant at 2 units apart on the x-axis, so they can be directly compared:
[tex](-38)-(-18)=-20\\(-58)-(-38)=-20\\(-78)-(-58)=-20[/tex]
All of these points are the same distance apart on the y, so f(x) must be a linear function.
Now look at g(x). These are also all equally distant at only 1 unit apart.
[tex]30-10=20\\90-30=60\\270-90=180[/tex]
These are very clearly not the same distance apart on the y, so g(x) must be the exponential function.
if the discriminant is negative how many solutions are there
Answer:
Two solutions.
Step-by-step explanation:
Josh went to a restaurant for dinner. The cost of the
meal was $24 with a discount of $2. If the total bill includes
an 8% sales tax and a 14% tip, what is the discount
percent? What was the total bill including the tax and the
tip?
Answer:
17.41 Dollars
Step-by-step explanation:
First, you take the discount, which is 2 dollars, so now the cost without any additional costs is 22 dollars. Next, find 8 percent of 22 by multipling 22*0.08 and then you get 1.76. Subtract that from 22 and 20.24. Then take 14 percent of 20.24 by multiplying it by 0.14, which you get 2.8336. Round that down and you get 2.83. Subtract that from that and you get 17.41.
what is 100 over 2 simplifided
Answer:
50
Step-by-step explanation:
El Club de Matemáticas está horneando pasteles para una venta de
pasteles. La receta del pastel de frutas requiere el doble de melocotones
que nectarinas. Si se necesitan un total de 168 piezas de fruta para todas
las tartas, ¿cuántas nectarinas se necesitan?
Answer:
56
Step-by-step explanation:
El problema se puede transcribir en esta ecuación:
2x + x = 168
siendo x las nectarinas
sumas los términos de x:
3x=168
despejas x:
x = 168 ÷ 3
x = 56
A football team caught the ball in 60% of the
plays during a game. Based on this information, if
the team caught the ball in 15 plays, how many
total plays did the team have?
Answer: 25 Plays Total.
60% of 25 is 15
10% of 25 = 2.5
2.5x6=15
Hope This Helps.
The following function represents the value of a car, in dollars, after x years: f(x) = 24,000(0. 92)x What does 0. 92 represent? The present value of the car The value of the car after x years The decrease in the value of the car, which is 92% The decrease in the value of the car, which is 8%.
0.92 represents the decrease in the value of the car which is 8% and this can be determined by using the given data.
Given :
The given function represents the value of a car, in dollars, after x years.[tex]f(x)=24000(0.92)x[/tex]The following steps can be used in order to determine what does 0.92 represents:
Step 1 - Write the given function.
[tex]f(x)=24000(0.92)x[/tex]
Step 2 - In the given function $24000 represents the original value of the car.
Step 3 - According to the given data, 'x' represents the number of years.
Step 4 - Also in the given function, '0.92' represents the decrease in the value of the car which is 8%.
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/5245372
Mark deposited $750 in a savings account earning 3% interest over 9 years. What was the total interest earned after 9 years?
Answer: The final balance is $982.47.
The total compound interest is $232.47.
Step-by-step explanation:
Please help look at the picture below
Answer:
I’m sorry I don’t know
Step-by-step explanation:
☹️☹️☹️☹️☹️
I NEED HELP
Find the value
Answer:
7 and 2?
Step-by-step explanation:
i think because f(2) : f(x)= 5+2x = 7
Find the Principal:
$65 interest
2% interest rate
9 months
Answer: P = 36.11111
Step-by-step explanation:
Formula: P = I / (RT)
65 / (.02*9)
(.02 is the decimal form of 2%)
65 / 1.8 = 36.111111111
P = 36.111111 (Unsimplified answer)
Correct me if it is incorrect.
The sum of two numbers is 80
their difference is 38.
The product of these 2 numbers is __?
