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 student earns $8 per hour plus a $15 bonus each weekend day worked. Last week, the student worked 1 weekend day and earned a total of $115 for h hours of work.
Answer:
12.5 hours
Step-by-step explanation:
[tex]115 - 15 = 100 \\ \frac{100}{8} = 12.5[/tex]
The student worked for 12.5 hours.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
A student earns $8 per hour plus a $15 bonus each weekend day worked.
Now, let the student works for h hours.
So, the earning would be= 15+ 8h
As, he earned $115
So, 15+ 8h= 115
8h = 100
h = 12.5 hours
Hence, the student worked for 12.5 hours.
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ2
David, a sales clerk in an appliance store, earns a base salary of $1200 per month plus a commission of 8 percent on monthly sales over $600. If David received $1900 for the month of April, how much were his monthly sales?
Answer:
3,700
Step-by-step explanation:
I know it's black because I did it in my head
A sample of n = 5 scores has M = 20 and s2 = 4. What is the sample standard deviation?
O 20
O 5
02
O 16
The sample standard deviation is 2. Therefore, the correct answer is option C.
Given that, a sample of n=5 scores has M=20 and s²=4.
The standard deviation is the fundamental measure of data point dispersion from the mean of a given data set. If the data points on a given distribution are more spread out, the standard deviation will be greater. In contrast, if the data points are close together, the standard deviation will be low.
The standard deviation is simply the square root of the variance;
Here, [tex]s=\sqrt{4}[/tex]
[tex]s=2[/tex]
Therefore, the correct answer is option C.
Learn more about the standard deviation visit:
brainly.com/question/13905583.
#SPJ3
WHAT IS TRUE ABOUT THE HEIGHT OF THE RECTANGLE
Answer:
It is totaly based on the diagram
Answer:
it is said on diagram or other values are given to find it
An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Thank you in advance:))
Answer:
868,412 visitors
Explanation:
434,206 x 2 (double)
Which of the following is equivalent to:
−−(2+5)−(3−7)?
Answer:
You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!
Step-by-step explanation:
Write the equation of the line graphed below in slope-intercept form.
Answer:
y=1/2x+3
Step-by-step explanation:
grabbing two points in this case (0,3) and (2,4)
we use the rise over run formula meaning it rises 1 and runs 2 so our slope is 1/2
to get the y intercept just look at where the line touches the y line in this case at 3
using the equation y=mx+b and m is slope and b is y interecpt we plug in the numbers
so we get y=1/2x+3
what two decimal
are between the square root of 62
negate the following statements.
Which 2 values are greater than 3/5?
1/4
0.68
2/3
0.599
1/2
The answer is 0.68 and 2/3
Hoped that helped
4) Tom is 4 years older than Bob, Evan is 10 years younger than Tom, Tucco is half of Evan's age, and Mary is 8 year
younger than twice Tucco's age. Mary is 46 years old today. Find the rest of everyone's ages. Be careful with your
thinking
helpp
Answer:
if you find the age of bob the rest is easy
Step-by-step explanation:
Urgent!
<6 and what angle are corresponding angles?
Answer:
11
Step-by-step explanation:
Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
Find the surface area of a cylinder with radius 8m and height 5 m
Answer:
A≈653.45
Step-by-step explanation:
Solution
A=2πrh+2πr2=2·π·8·5+2·π·82≈653.45127
Find the surface area of the rectangular prism. 7 m 4 m 5m
Answer:
A = 2 (wl+hl+hw)=2·(4.7+5·7+5·4)=166
Answer: A=2(wl+hl+hw)=2·(4·7+5·7+5·4)=166
Step-by-step explanation:
what is the equation of the line that passes through the point negative -5, 7 and has a slope of -2/5
Answer: The equation of the line that passes through the point negative -5, 7 and has a slope of -2/5 is y = -0.4x + 5.
find the perimeter of a regular pentagon with each side measuring 6cm.
Answer:
30cm
Step-by-step explanation:
Perimeter of a Pentagon=5L
P=5×6cm=30cm
I’m a right or nah.
Helppp
Answer:
You are right
Step-by-step explanation:
It starts at zero and goes up. (Positive slope)
whats the answer pls
Answer:
y=0.75x-1
Step-by-step explanation:
Casey makes a grape salad using green grapes and red
grapes. She adds 5 green grapes for every 3 red
grapes. What is the ratio of all grapes to green grapes in the
grape salad?
Answer:
the answer is 8:5
Step-by-step explanation:
Hellooo, is this simple graphing or do I have to like solve something
Answer:
Just graph the points
Step-by-step explanation:
no need to solve anything
Solve. 213−12x=−23 Enter your answer in the box.
[tex]213 -12x = -23\\\\\implies 12x = 213 +23 = 236\\\\\implies x = \dfrac{236}{12}= \dfrac{59}3 = 19.67[/tex]
The value of x from the given equation is [tex]19\frac{2}{3}[/tex].
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is 213-12x=-23.
Now, 213+23=12x
⇒ 12x=236
⇒ x=236/12
⇒ x=59/3
⇒ x=[tex]19\frac{2}{3}[/tex]
Therefore, the value of x is [tex]19\frac{2}{3}[/tex].
To learn more about the solution of an equation visit:
https://brainly.com/question/14506845.
#SPJ2
With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane.
WILL GIVE BRAINLY TO FIRST ANSWER
Based on the information given, it can be noted that the air speed that the plane has will be 71.1 km per hour.
The number of hours used for the return trip will be:
= 2 hours - 24 minutes.
= 1 hour 36 minutes.
= 1.6 hours.
Therefore, the speed of the air plane will be:
= (128 + 128) / (2 + 1.6)
= 256/3.6.
= 71.1 km per hour.
Learn more about speed on:
https://brainly.com/question/25860159
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
27.2 ft
Step-by-step explanation:
similar triangles
51/90=x/48
x=27.2 ft
Are the figures below similar?
NO LINKS!! NEED ANSWER ASAP
Answer:
no
Step-by-step explanation:
A _______ is a variable, an integer or a product of variables and
integers.
Please. I just need an answer. I don’t know how to mark brainliest but if I did I would.
Answer:
60 degrees
Step-by-step explanation:
Graph the solution to the inequality on the number line.
p<20.2
help
Answer:
it is an open circle on 20.2 and is going to the left
Step-by-step explanation:
I hope this helps :)
I am asking how this is when I found the median is 14!
Hi there!
2 3 5 5 9 11 13 14 14 17 20 22 24 28
If we count up the numbers, we find that there are 14 numbers. This means that we must take the average of the middle two numbers to find a median since the amount of numbers is not odd.
Count 6 from both sides and we get the middle two numbers to be:
13 14
Take the average:
(13 + 14)/2 = 13.5
**This must be done if the amount of numbers given is EVEN.**
Answer:
Step-by-step explanation:
There are an even number of entries that make up the Data Set. (14 entries)
When you have an even number, you take the two entries that are at the center to find the median.
The values at the middle are entry seven which is 13 and entry eight, which is 14.
Now average these two. You get (13 + 14)/2 = 27 / 2 = 13.5
Otherwise I think you are correct.
6) A geologist collects rocks. He has three types, sedimentary, metamorphic and
igneous. The ratio of sedimentary rocks to metamorphic rocks is 2:3.
The ratio of metamorphic to igneous is 9:10.
What is the ratio of sedimentary to igneous?
Answer:
3:5
Step-by-step explanation:
s:m = 2:3
m:i = 9:10
convert m to same number so they are comparable
s:m = 6:9 (multiple so the ratio is still the same as 2:3)
m:i = 9:10 (the same thing as before)
s:i = 6:10
s:i = 3:5 (simplify)
At Health Hair, the cost of a children's haircut, x , is $4 and the cost of an adult haircut, y , is $14. The sales from Friday were $568. There were 42 haircuts in all.
Write a system to represent the situation.
AND
Solve the system and interpret the answer.
Your Answer:
Answer:
[tex]x + y = 42,[/tex]
[tex]4x + 14y = 568,[/tex]
[tex]x = 2, y = 40[/tex]
Step-by-step explanation:
Learn the FULL explanation at: https://brainly.com/question/25629296