Answers
Given:
The graph of a function f(x).
To find:
The solution set for f(x)>0 and f(x)≤0.
Solution:
From the given graph it is clear that, the function intersect the x-axis at 3 points, i.e., x=-4, -3 and -2.
The graph is above the x-axis before -4 and between -3 and -2.
So, the solution set for f(x)>0 is [tex](-\infty,-4)\cup (-3,-2)[/tex].
The graph is below the x-axis between -4 and -3; and after -2. For f(x)≤0, those values are in the solution set for which f(x)=0, i.e., x-intercepts. So, we use close brackets in the interval notation.
So, solution set for f(x)≤0 is [tex][-4,-3]\cup [-2,\infty)[/tex].
Related Questions
Lisa, a researcher at the Centers for Disease Control and Prevention, is studying the growth of a bacteria. She starts her experiment with 77 bacteria that grow at a rate of 21% per hour. She will check on the bacteria every 11 hours. How many bacteria will she find in 11 hours? Round your answer to the nearest whole number.
Answers
Answer:
776
Step-by-step explanation:
Find an equation for the line below
Answers
Rise/run
Watch help video
If using the method of completing the square to solve the quadratic equation
X2 – 9x + 38 = 0, which number would have to be added to "complete the
square"?
Answers
Answer:
Step 1 Divide all terms by a (the coefficient of x2).
Step 2 Move the number term (c/a) to the right side of the equation.
Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
hope this help
but this is little info dont worry i will answer your question just in a minute
Step-by-step explanation:
Gia has 80 tiles each tile is white or blue she arranges the tiles in 8 equal rows each row has an equal number of with and blue tiles. how many blue tiles are in each row?
Answers
Answer:
5
Step-by-step explanation:
80 divided by 8 = 10 divided by 2 = 5
find the value of x. A. 35 B. 40 C. 45 D. 50
Answers
Answer:
D
Step-by-step explanation:
Answer:
scalene trangle
Step-by-step explanation:
A triangle has side lengths of 21, 27, and 35 inches. Is it
right triangle?
Answers
In right triangle we have 30:60:90
and the ratios are
x: x root of 3: 2x
so, for example, if we have side of length 3 against 30 degrees, then against 60 degrees the side will be 3 root of 3, and against 90 degrees it will be 6.
Hope it helps!
what is the sum of the first five terms of the geometric sequence in which a1=5 and r=1/5
express your answer as an improper fraction.
Answers
Answer:
Sum of the first five terms of the geometric sequence in which a1=5 and r=1/5 is [tex]\mathbf{S_n=\frac{781}{125} }[/tex]
Step-by-step explanation:
We need to find sum of the first five terms of the geometric sequence in which a1=5 and r=1/5
The formula used to find sum of the geometric sequence is: [tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]
Where a is the first term, r is the common ratio and n is the number of terms
Now finding sum of the first five terms of the geometric sequence
We have a=5, r=1/5 and n=5
Putting values in the formula:
[tex]S_n=\frac{a(r^n-1)}{r-1}\\S_n=\frac{5((\frac{1}{5}) ^5-1)}{\frac{1}{5}-1}\\S_n=\frac{5(\frac{1}{3125}-1)}{\frac{1-5}{5}}\\S_n=\frac{5(\frac{1-3125}{3125})}{\frac{-4}{5}}\\S_n=\frac{5(\frac{-3124}{3125})}{\frac{-4}{5}}\\S_n=5(\frac{-3124}{3125})}\times{\frac{-5}{4}}\\S_n=\frac{781}{125}[/tex]
So, sum of the first five terms of the geometric sequence in which a1=5 and r=1/5 is [tex]\mathbf{S_n=\frac{781}{125} }[/tex]
Please help ASAP
What are the equations of the asymptotes of the hyperbola?
(y-1)^2/9-(x-2)^2/100=1
Answers
y-1= ±3/10(x-2)
Im not sure how to get this answer but my teacher gave it to me so i hope this helps!
The equation of the asymptote of the given hyperbola is; y - 1 = ±(3/10)(x - 2)
We are given the equation of the hyperbola as;
[(y - 1)²/9] - [(x - 2)²/100] = 1
We can rewrite this equation as;
[(y - 1)²/3²] - [(x - 2)²/10²] = 1
The general equation form of hyperbola is;
[(y - k)²/a²] - [(x - h)²/b²] = 1
Comparing this general form to our given equation we can see that;
k = 1
h = 2
a = 3
b = 10
Now the equation of the asymptote of a hyperbola follows the general formula;
y = ±[a(x - h)/b] + k
Plugging in the relevant values gives us;
y = ±(3/10)(x - 2) + 1
y - 1 = ±(3/10)(x - 2)
Read more about hyperbola asymptotes at;https://brainly.com/question/12919612
It’s Question 15. I need help!
Answers
Answer: Its b i took that
Step-by-step explanation:
Trust me
Answer:
A
Step-by-step explanation:
c = 15n
Solve for x. (PLEASE HELP)
Answers
9514 1404 393
Answer:
x = 6
Step-by-step explanation:
The parallel lines divide the sides proportionally. So, we can write the equation ...
x/4 = (x +3)/6
3x = 2(x +3) . . . . . multiply by 12
x = 6 . . . . . . . . . . . subtract 2x
D 2. Which of the following is correctly written in Standard Form?
A 3/7x + 2y =9
B y= 3/7x+6
C 5x – 4y = 9
D -3x + 7y = 12
Pls help me
Answers
The equations that are correctly written in standard form are
A. 3/7x + 2y =9
C. 5x – 4y = 9
D. -3x + 7y = 12
Standard form of a Linear equationsFrom the question, we are to determine which of the given equations are written in standard form
The standard form of a linear equation is Ax + By = C.
Where A, B, and C are constants,
and
x and y are variables
Hence, the equations that are correctly written in standard form are
A. 3/7x + 2y =9
C. 5x – 4y = 9
D. -3x + 7y = 12
Learn more on Standard form of a Linear equations here: https://brainly.com/question/1293412
#SPJ1
Round 154,101 to the nearest ten.
Answers
Answer:
154,100
Step-by-step explanation:
the tenth is the 0
5 or more up the score 4 or less let it rest.
George invited 65 students in his school to volunteer at a charity race. 39 of the students signed up to volunteer. What percent of the invited students signed up?
Answers
Answer:
60%
Step-by-step explanation:
39/65 gives you the answer.
Based on the table, what is the unit rate for one gallon of gasoline?
Answers
Answer:
a.3.30
Step-by-step explanation:
Answer:
3.30
Step-by-step explanation:
Because I did le Quiz
Help! - Answer = Brainliest!
Thanks!
Answers
Answer:
no
Step-by-step explanation:
i copied the person above me :)
sorryyy not sorry lol
#respectfully
PLEASE HELP!!!
John and Chuck are building a new house. When finished, the house will cost $190,750. The price of the house is 9% higher than the price when the original plans were made. What was the price of the house when the original plans were made?
Answers
Answer:
190,750 decreased by 9% is 173,582.5
Step-by-step explanation:
What value(s) of b will cause 3x2 + bx + 3 = 0 to have one real solution? Select all that apply.
b = –6
B.b = –9
C.b = 6
D.b = 9
Answers
Answer: -6 and 6
Step-by-step explanation:
Possible factors that could produce 3x² + 6x +3 are (x + 1)(3x + 3)
the solution for values of x: x+1=0, x= -1 3x+3=0, 3x= -3 . x= -1 . Same.
Possible factors that could produce 3x² - 6x +3 are (x - 1)(3x - 3)
the solution for values of x: x-1=0, x= 1 3x-3=0, 3x= 3 . x= 1 . Same.
From the attached graph of the possible equations, you can see that 9 and -9 won't produce ONE real solution. They each have "zeros" at two points on the x-axis. That is two solutions that would make x = 0.
The equations with -6 and +6 each touch the x-axis at only one point each.
Help me please *an image is attached*
Answers
Answer:
its C
Step-by-step explanation:
Answer:
C. The graph has y-intercept - 2, not initial value - 2.
Step-by-step explanation:
Hope this helps
Which value(s) below ma 6.05x - 12.5 = 48 Show all of your work. Ju box below. HELP ME PLEASE
Explain:
Answer
Answers
Answer:
I got you
Step-by-step explanation:
6.05-12.50=13.55
48 divided by 13.55=3.542
x=3.542
Answer:
X= 1
Step-by-step explanation:
6.05x-12.5=48 Add 12.5 to both side
+12.5 +12.5
6.05x = 60.5 now divide both sides by 6.05
/ 6.05 /60.5
X = 1
−2 1/6 divided by 1 1/4
100 points
Answers
Answer:
-1 11/15Step-by-step explanation:
−2 1/6 divided by 1 1/4:
-2 1/6 ÷ 1 1/4 = - 13/6 ÷ 5/4 = - 13/6 × 4/5 = - 26/15 =-1 11/151) to divide that mixed number we'll need to turn it into an improper fraction:
[tex] - 2\frac{1}{6} = - ( \frac{6 \times 2 + 1}{6} ) = - \frac{13}{6} \\ 1 \frac{1}{4} = \frac{4 \times 1 + 1}{4} = \frac{5}{4} [/tex]
2) now let's divide it, reciprocating 1 1/4 and multiplying both fractions one by another:
[tex] - \frac{13}{6} \times \frac{4}{5} = - \frac{52}{30} = - \frac{26}{15} [/tex]
3) Hence the answer is -26/15
Three concert tickets cost $27. At this rate, what is the cost per ticket?
Answers
Hello.
To find this, divide the cost per amount.
In this case, the cost of the tickets is $27, and the amount is 3.
Divide 27 by 3.
27 / 3 = 9
Each ticket costs $9.
Answer:
$9 per ticket
Step-by-step explanation:
all you do is divide 27 by 3 and get 9
Can I have some help? What is LCM for 5 and 14
Answers
Answer:
70
Step-by-step explanation:
Least common multiple (LCM) of 5 and 14 is 70.
=70
Union City Bakery uses a chocolate chip muffin recipe that yields 1/2 cup of milk for every batch of 12 chocolate chip muffins. Based on the recipe:
How much milk is needed to make each muffin?
How much milk in needed to make 24 chocolate chip muffins?
Answers
Jamie borrows $2,000 to purchase a new living room furniture set. She will pay an 8% interest rate over 18 months. How much will Jamie pay in interest?
Answers
Answer: 2800 dollars in intrest
Step-by-step explanation:
Which of the following is an example of a culture maintaining traditional ways?
Answers
Answer:
Amish driving buggies and using horses and mules instead of tractors
Step-by-step explanation:
Help meeeeeeeee
Pleaseeee
Answers
Answer:
give them all a common denominator
1/3= 2/6
5/6= 5/6
1/2= 3/6
1/6= 1/6
and then use the "new" fraction to order the other ones. but be sure to use the original values, not the ones you made using the GCF. so the answer would be:
1/6, 1/3, 1/2, 5/6
when solving an equation, which is the best first step to begin to simplify the equation? -2(x+3)=-10
Answers
Answer: Following the rules of PEMDAS, you want to divide both sides of the equation by -2. This would change your equation to x+3=5. Then you move your constant to the right-hand side and change its sign. Your equation is now x=5-3. subtract 5-3 and your answer is x=2.
In a small private liberal arts college, 40 percent of the students receive financial aid, and 30 percent of the students that receive financial aid also are first generation college students. In addition, 25 percent of the students in the college own a hybrid car. What is the probability that a randomly selected student receives financial aid and is first generation college student
Answers
Answer:
P(A∩B) = 0.12
Step-by-step explanation:
Given:
Students receive financial aid P(A) = 40% = 0.4
Students receive financial aid and first generation P(B/A) = 30% = 0.3
Find:
Probability [Selected student receives financial aid and is first generation college student] P(A∩B)
Computation:
P(A∩B) = P(A) x P(B/A)
P(A∩B) = 0.4 x 0.3
P(A∩B) = 0.12
plssss i need help it’s due rn if u don’t know the answers pls don’t write random stuff plsssss
Answers
Answer:
1. y=3x+2
2. slope=3 It represents the rate of which the panda gained weight over the course of 4 weeks
3. 2 It represents the weight of the panda at the first week
Step-by-step explanation:
Thank you so very much will give branliest
Answers
Answer:
Slope = 7
Y intercept = 23
Step-by-step explanation:
(can I get brainliest now)