Solve for x. Enter your answer in interval
notation using grouping symbols.
x2 + x < 20
Answer:
x<18
Step-by-step explanation:
2+x<20
Answer:
(-5, 4)
Step-by-step explanation:
x^2 + x < 20 can be rewritten as a quadratic in standard form: x^2 + x - 20 < 0. Recognize that the graph of x^2 + x - 20 is that of a parabola that opens up. Because the y-intercept (0, -20) is below the x-axis, we know for certain tht the graph intersects the x-axis in two places. Our job is to determine the two horizontal intercepts, which in turn determine the solution set.
x^2 + x - 20 = 0 factors as follows: (x + 5)(x - 4) = 0, whose roots are -5 and 4.
These two roots form 3 intervals: (-infinity, -5), (-5, 4) and (4, infinity). We now must identify on which intervals x^2 + x - 20 is less than 0 (that is, on which intervals the graph is below the x-axis). Choose three test values for x: the first could be -6 (which is in the set (-infinity, -5) ); x^2 + x - 20 is + there, and so the graph is above the x-axis and x^2 + x - 20 is positive. Reject this.
Next, test x = 0; x^2 + x - 20 is negative there, meaning that x^2 + x - 20 < 0 and that x^2 + x < 20. Thus, the solution is (-5, 4). It can be shown that x^2 + x - 20 is positive again for x-values within the interval (4, infinity).
Evaluating
Megan ran 1 3/4 miles. What is this as an improper fraction?
Answer:
Yes it is improper fraction
I give crown pls don't put a random answer :-((
Answer:
its 67...... ...........
Answer:
it's 67°
Step-by-step explanation:
48°+90°=(2x+4). reason is vertically opposite angles are equal
8(__+__)=8m+8n Please help,
Answer: m and n
8(m+n)= 8m + 8n
Anyone know how to do this?!!
Answer:
slope is -1/4
Step-by-step explanation:
[tex]\frac{-4}{12}[/tex]=[tex]\frac{-1}{4}[/tex]
[tex]\frac{-2}{8}[/tex]= [tex]\frac{-1}{4}[/tex]
and so on...
formula: [tex]\frac{x}{y}[/tex]
hope this helps!!!
PLEASE I NEED THIS ASAP ITS SO MUCH POINTS
Answer: decimal : 1, fraction: 9/1000, decimal : 0.5, fraction: 17/100, decimal 1
Step-by-step explanation:
PLS HELP!! ASAP!!! PLEASE I BEGGGG
ARE THEY PROPORTIONAL AND WHY ASLO WHERE DO U PUT THE POINTS ?!!?!?!?!?
Pls answer if u know the answer, don't just do it for points.
A motor is rated at 1500 Watts and a second motor is rated at 2200 Watts. If they each needed to lift a 100 kg box 20 meters, which one would get the job done first?
Answer:
motor of the 1500
Step-by-step explanation:
i took the test hopefully is the right one.
3 pencils cost $0.45. What is the cost per pencil?
Answer:
0.15
Step-by-step explanation:
Annual snowfall in Anchorage, Alaska, is normally distributed with a mean height of 76 inches and a standard deviation of 4.7 inches. What is the probability this year that it will snow between 71.4 and 80.7 inches in Anchorage?
Using the Empirical Rule, it is found that there is a 68% probability this year that it will snow between 71.4 and 80.7 inches in Anchorage.
What is the Empirical Rule?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, the mean height of 76 inches and a standard deviation of 4.7 inches, hence 71.4 and 80.7 inches is within 1 standard deviation of the mean, that is, there is a 68% probability this year that it will snow between 71.4 and 80.7 inches in Anchorage.
To learn more about the Empirical Rule, you can take a look at https://brainly.com/question/24537145
30. Find the value of expression 20m2 + 30m + 40 when a)m = -3 b)m= - 4 c) m = 3
Answer:
di you mean m² when you say m2 or not?
The values of the expression are;
-21, 240, 310 respectively
We were given the equation as ;
20 [tex]m^{2}[/tex] + 30m + 40
Then we can find the values of the expression with the given options to know the answer by input the value of ' m' into the given equation
Option (a) (m=-3)20( [tex]-3^{2}[/tex] )+ 30(-3)+ 40 = -21Option (b) (m=-4)20([tex]-4^{2}[/tex] )+ 30(-4)+ 40 = 240Option (c) (m=3)20([tex]3^{2}[/tex]) + 30(3)+ 40 = 310Therefore, the values of the expression are; -21, 240, 310 respectively
Learn more at: https://brainly.com/question/9585437?referrer=searchResults
5 donuts and 2 cups of hot Chocolate costs 24$. 2 donuts and 3 cups of hot chocolate costs 14$.How much does each donut and each cup of hot chocolate cost
Answer:cost of each donut =$4
and cost of each cup of hot chocolate =$2
Step-by-step explanation:
Step 1
Let donuts be represented as d
and cups of hot chocolate be rep as c so that
5 donuts and 2 cups of hot Chocolate costing 24$ will be expressed as
5 d+ 2 c= 24
And 2 donuts and 3 cups of hot chocolate costing 14$ will be expressed as
2d +3 c= 14
Step 2
Using elimination method,Multiply equation 1 by 3 and equation 2 by 2
15d+ 6c= 72----equation 3
4d+ 6c= 28-----equation 4
Subtracting equation 4 from equation 3 gives us
11 d=44
d= 44/11
d= 4
To find c, using equation 1
5 d+ 2 c= 24
5 x 4+ 2c=24
20+2c=24
2c=24-20
2c=4
c=4/2 =2
cost of each donut =$4
and cost of each cup of hot chocolate =$2
Explain how to determine the diameter of any circle given the circumference.
Answer:
circle of diagram (89).&"71
Add the polynomials:
2a+3b+5a-7b Explain your response
7a - 4b
Step-by-step explanation:
Add the numbers ending with 'a' together, and then add the numbers ending with 'b' together.
First of all, I will put the letters beside each other.
2a + 5a + 3b - 7b
2a + 5a = 7a
3b - 7b = - 4b
Therefore, the answer is 7a - 4b.
Old price was $72.00
New Price $38.16
What was the percent of
change?
Find the 8th term of the geometric sequence 4, -12,36,...
3n + 8 = 53
I don’t understand how to find the n
Answer:
n=15
Step-by-step explanation:
subtract 8 from both sides to get 3n=45
divide both sides by 3 to solve for n to get n=15
Answer:
n = 15
Step-by-step explanation:
3n + 8 = 53
the first step we are going to do is combine the like terms by moving the constant (8) to the right and subtracting
3n = 45
next step, we are going to isolate the n by dividing by 3 on both sides of the equation
3n divided by 3 is just n and 45 divided by 3 is 15, so we have our answer
HELPPPPPPPPPPPPPP FASTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
out of 300 7th graders that use a computer 5-10 hours would be around 260 children. out of 360 seventh graders that use a computer 10 hours or less each week will be around 300
If , then what is mto the nearest degree?
Answer:
70 degrees
Step-by-step explanation:
If cosm<A = 342/1000, we are to find the value of a
Take arccos of both sides
cosm<A = 342/1000
cosm<A = .342
arccos(cosm<A) = arccos(0.342)
m<A = arccos(0.342)
m<A = 70 degrees
Hence the measure of m<A is 70 degrees
ayuda por favor 5.800%(-10)
Answer: -0.58
Divide 5.8 y 100 y te da 0.058 despues lo multiplicas con (-10) y te da -0.58
Dom runs a pizza business. Last year he took in $88 000 and it cost him $33 000
to run. What is his percentage profit for the year? Round to the nearest cent.
Answer:
The percentage profit for the year is 62.50%
Step-by-step explanation:
Here, we want to calculate the percentage profit
That would be difference between the revenue (88,000) and the cost (33,000) divided by the revenue * 100%
We have this as;
(88,000-33,000)/88,000 * 100%
= 55,000/88,000 * 100%
= 62.50%
find the equation of the line shown:
Answer:
Y= -1/2x -1
Step-by-step explanation:
Please help!!! Thank you so much!!
Answer:
45 inches
Step-by-step explanation:
If the larger rectangle is 72, then you divide it by 8 because that is the ratio of the bigger rectangle. 72/8 = 9 so that means that the scale value of the shapes is 9 because they are proportional. So, you multiply 9 time 5 to get 45 which is the smaller rectangle.
HELP!!!Identify the following parts of the graph
14
3
12
2
4
16
(2 points) x-intercept:(
(2 points) x-intercept: (.)
(2 points) y-intercept: ()
(2 points) Does it have a maximum or minimum?
Answer:
(2 points) What is the max/min point:
Answer:
X ints = (-1,0) , (3,0)
Y int = (0, -3)
Minimum (as it infinitely extends positively, but does not go down all the way)
Min point = (1,-4)
Step-by-step explanation:
A new car is purchased for 18000 dollars. The value of the car depreciates at 7% per year. To the nearest tenth of a year, how long will it be until the value of the car is 8500 dollars?
Answer:
5 weeks
Step-by-step explanation:
because my teacher told me
Answer:actually it’s 10.3
Step-by-step explanation:delta math gave me the right answer once I got it wrong
The circumference of a circle with diameter is 28 is
Answer:
the answer is 87.96
Step-by-step explanation:
Answer:
87.92 units
Step-by-step explanation:
circumference = D x Pi = 28(3.14) = 87.92
Frederick's brother is going on a hike. He has his backpack filled with supplies. His backpack weighs 400 ounces. How many pounds is Frederick's backpack? Note: 1 pound = 16 ounces
Answer:
25
Step-by-step explanation:
Do 400 divided by 16 to convert to pounds
400/16=25
Hope this helped :)
Answer:
25 pounds
Step-by-step explanation:
1 Pound=16 ounces
? Pounds=400 ounces
400 divided by 16=25
25 pounds=400 ounces
Multiplying by 0.51 is the same as decreasing by___%
Answer:
The correct answer is 51%
for educational purposes which is better vans or nike?
pls hurry will give brainliest
Answer:
Step-by-step explanation:
6(k + 2) + 1 = 13 (distribute 6 around the k+2)
6k + 12 + 1 = 13 (add 12 and 1)
6k + 13 = 13 (subtract 13 from both sides)
6k = 0 (divide by 6)
k = 0
Answer:
6( k + 2 ) + 1 = 13
6k + 12 + 1 = 13
6k + 13 = 13
6k = 0
k = 0/6
so it will 0