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
what is the slope of the line
Answer:
The slope is 1.Step-by-step explanation:
Let's take two points on a line. (2,0) and (0,2).
Now, determine the rise and run.
Rise: 2 Run: 2Slope = Rise/Run
=> 2/2
Conclusion:
Therefore, the slope is 1.
Hoped this helped.
Aura built a scale model of a building using a scale in which 4 inches represents 60 feet. The height of the building is 420 feet.
What is the height of the scale model in inches?
Answer:
28 inches
Step-by-step explanation:
We're told that each 60 ft is represented by 4 inches of model. 420 feet is 7 times 60 feet, so the model will be 7 times 4 inches.
The height of the scale model is 28 inches.
Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s net profit margin. A. 42. 5% b. 55. 7% c. 76. 3% d. 179. 5%.
Korey's net profit margin is 42.5%.
Net profit margin is the ratio of net income to net sales. It is a profitability ratio. Profitability ratios measure the efficiency with which a company generates profit from its asset.
Net profit margin = net income / net sales
Net profit margin = $1850 / $4350 = 0.425 = 42.5%
A similar question was answered here: https://brainly.com/question/5990973
Answer:
A. 42.5%edge⬇️
Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.
Step-by-step explanation:
x = number of hours A
y = number of hours B
x + y = 23
5.7x + 7.1y = 143.7
from the first equation we get
x = 23 - y
this we use in the second
5.7×(23 - y) + 7.1y = 143.7
131.1 - 5.7y + 7.1y = 143.7
1.4y = 12.6
y = 12.6/1.4 = 9
x = 23 - y = 23 - 9 = 14
she worked 14 hours on job A and 9 hours on job B.
A student says that it 5x^2 =20,then x must be
equal to 2. Do you agree or disagree with the
student? Justity your answer.
Hope you could get an idea from it.
Doubt clarification - use comment section.
The graph shows that f(x)={is translated
horizontally and vertically to get the function
Answer: 3
Step-by-step explanation:
What is the solution to this equation?
-8×+4=36
Answer:
-4
Step-by-step explanation:
[tex]-8x +4 = 36\\\\\implies 8x = 4-36\\\\\implies 8x = -32\\\\\implies x = -\dfrac{32} 8\\\\\implies x =-4[/tex]
PLEASE HELP!!! I’ll mark as brainiest!
Answer:
1. (-2, 3)
2. (-4, -6)
3. (3, -6)
4. (-5, 2)
5. (9, 1)
1. (-3, -2)
2. (6, -4)
3. (6, 3)
4. (-2, -5)
5. (-1, 9)
Is 24:6 equivalent to 12:3
Answer:
Yes
Step-by-step explanation:
Yes! If you multiply both of the values in the ratio 12:3 by 2, you get the ratio 24:6. A ratio is equivalent to another if one can be multiplied by or divided by the same number to result in the other ratio.
For example, 1:2 and 3:6 are equivalent ratios since 1:2 can be multiplied by 3 to result in 3:6.
Hopefully that's helpful! :)
help with my math please
Answer:
j mmmmmmm
Step-by-step explanation:
mmmmmmmmm
This expression is scientific notation for what number?
8. 10-6
Answer:
20-45 answer should be d good luck sorrybif im wrong
i need help on this assignment
Answer:
the answer is 10
Step-by-step explanation:
by the why want to be friends??
Answer:
10
Step-by-step explanation:
given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line. PLEASE! Helppp
Answer:
(-6,-5)
Step-by-step explanation:
y2-y1
x2-x1
subtract then you get the answer
I need help with this please
Answer:
see attached
Step-by-step explanation:
boundary line
When graphing, it can be useful to have the equation in slope-intercept form. You can get that by solving for y.
4y ≤ -5x -4 . . . . subtract 5x from both sides
y = -5/4x -1 . . . . divide both sides by 4
This tells you the slope is -5/4, and the boundary line crosses the y-axis at y = -1. The slope is the ratio of rise to run, so -5/4 tells you the line will go down 5 units for each 4 unit to the right. That is, points (4, -6) and (-4, 4) will be on the line.
line type and shading
The "or equal to" part of the inequality symbol (≤) tells you that the boundary line will be solid, not dashed.
The "less than" part of the symbol tells you that the values of x and y are less than those on the boundary line, so shading will be to the lower-left. The graph is shown in the attachment.
_____
Additional comment
You can determine the location of the shading by looking at any variable term that has a positive coefficient, and its relation to the inequality symbol. Here, that could be either of ...
5x ... ≤ ...4y ... ≤ ...These tell you that x- and y-values in the solution set are less than those on the line, so shading will be left of (x<) or below (y<) the line. (In rare cases where all of the variable coefficients are negative, you can multiply the equation by -1 and reverse the inequality before you make this analysis.)
Select the correct answer.
Consider the formula for the slope between two coordinate points, m, shown below.
V2 — 91
m =
12 - 11
Which of the following equations is equivalent to the slope formula?
OA.
OB.
*1 =
Y2 =
m(x2 - x) + y
mly₂-4₂) + x2
12 = m(y₂ - y₂) + x1
yz = m(x2 – x1) + y2
O C.
OD
=
Reset
Next
Answer:
it's A
Step-by-step explanation:
yeah-ya ............... right?
check the picture and youll know.
Answer:
24
Step-by-step explanation:
18/3/4. 18 divided by 3/4 is 18x4/3 which is 72/3=24
HELP WITH MATH!! MARKUPS AND MARKDOWNS! I’LL PUT BRAINLIEST IF ITS CORRECT!
Answer:
1. $62.50
2. $41.25
3. $90.35
4. $2,160
5. $343
6. $66,602.25
7. $220
Step-by-step explanation:
simplify expression
3+2+y+y
Answer:
2y + 5
Step-by-step explanation:
I hope this helps!
Hey there!
3 + 2 + y + y
= 3 + 2 + 1y + 1y
COMBINE the LIKE TERMS
= (3 + 2) + (1y + 1y)
= 5 + 2y
= 2y + 5
Therefore, your answer is: 2y + 5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Solve for x.
z=(x-8)k
Answer:
z/k + 8 = x
Step-by-step explanation:
z=(x-8)k
Divide both sides by k
z/k = x - 8
Add 8 to both sides
z/k + 8 = x
What is the value of (-a) to the 4th power / (-a) to the 3rd power
Step-by-step explanation:
(-a)⁴ / (-a)³ = -a
since both terms have the same exponent base (-a), we can simply do the regular exponent arithmetic (multiplication = +, division = -)
4 - 3 = 1
so, the exponent 1 remains.
it works also, if we process the exponents first
(-a)⁴ = a⁴
(-a)³ = -(a³)
a⁴/-(a³) = a/-1 = -a
At a basketball game, a vender sold a combined total of 161 sodas and hot dogs. The number of sodas sold was 31 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.
Answer:
65 hot dogs, 96 sodas
Step-by-step explanation:
x + (x + 31) = 161
2x + 31 = 161
2x = 130
x = 65
65 hotdogs
65 + 31 = 96
96 sodas
share $ 4,500 between Ben and Jenny in the ratio 4:5
make t the subject of the formula in the image
Answer:
t=[tex]\frac{2-3q}{q+4}[/tex]
Step-by-step explanation:
q(t+3)=2-4t
qt+3q=2-4t
qt+4t=2-3q
t(q+4)=2-3q
t=[tex]\frac{2-3q}{q+4}[/tex]
5y+4x=10.51 8y+3x=10.39
Answer:
(x, y) = (1.89, 0.59)
Step-by-step explanation:
Written in general form, the equations are ...
4x +5y -10.51 = 0
3x +8y -10.39 = 0
These can be solved using the cross-multiplication method to find ...
∆1 = (4)(8) -(3)(5) = 17
∆2 = (5)(-10.39) -(8)(-10.51) = 32.13
∆3 = (-10.51)(3) -(-10.39)(4) = 10.03
Then the values of the variables are ...
x = ∆2/∆1 = 32.13/17 = 1.89
y = ∆3/∆1 = 10.03/17 = 0.59
The solution is (x, y) = (1.89, 0.59).
Six less than a number is twenty
Answer:
the start numbew woould be 26
Step-by-step explanation:
6 less than 26 is 20
Answer:
n=26
Step-by-step explanation:
Concern airplane flying at a cruising speed of 1/2 km in 1/24 of a minute.Compute the unit rate of the airplanes cruising speed in kilometers per minute
Answer:
12 km/minute
Step-by-step explanation:
In order to convert to kilometers per minute, we are given 1/2 of a kilometer per 1/24 of a minute. First, we must convert to 1 minute. We can multiply both sides by 24 to get 24/2 = 12 kilometers per minute. Since we now have it in kilometers per minute, we have the answer.
Answer:
12 km per min
Step-by-step explanation:
A restaurant is considering reducing its meal sizes, because it noticed many of its customers cannot finish their meals. The manager decided to weigh the left-over portion of the meals before putting them in to-go containers. The line plot displays the weights of the left-over portions of the meals. If the left-over portions are divided equally among the customers, how much food would each customer take home? Weight of Left-over Meals A. B. C. D.
Answer:
1/2
Step-by-step explanation:
You need to add all the fractions up to get 1/2 is what food the costumers brought home
Answer:
1/2
Step-by-step explanation:
i got it correct!!
Find the slope of the line passing through the points (-3, 3) and (5, 9).
Answer:
Step-by-step explanation:
9-3/5- -3= slope= 6/8 or 3/4
I'VE ASKED THIS 4 TIMES ALREADY. DOUBLE POINTS PLEASE HELP!!!
Please help! Write an equation of the line passing through the point (6,-4) that is perpendicular to the line y=1/3x-9
Answer:
y=-3x-14
Step-by-step explanation:
y=mx +c
m= 1/3
perp m= -3
goes through point (6,-4)
sub numbers
write 200% as a decimal
Answer:
Percent Decimal
80% 0.8
90% 0.9
100% 1
200% 2
Answer:
2.00
Step-by-step explanation:
To convert a percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25. To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right).
