A function f(x) = x^2 - 4 has a domain as the set of integers
of from 1 through 10, inclusive (including 1 and 10). For
how many values of x is f(x) positive?
Answers
Answer:
8
Step-by-step explanation:
f(x) = (x+2)(x-2)
Substituting x=1 into f(x):
f(1) = 3*-1
= -3
Since -2 & 2 touch the x-axis, 1 has a negative y value, 2 has a y value of 0, and all values from 2, are positive.
Hence,
3, 4, 5, 6, 7, 8, 9, 10 are all positive. Therefore, the answer is 8
This can be confirmed with a graph, as attached below.
Feel free to mark this as brainliest! :D
Related Questions
The difference between the product of (-15) and (-2) and the sum of (-10) and (+3)
Write a mathematical expression that represent the statement given above.
Answers
Answer:
(-15)(-2) - (-10)+3 (or in other words 30-(-7))
Step-by-step explanation:
Product means to multiply
Sum means to add
I like to use brackets and put all the pieces together one at a time to ensure I'm doing exactly as the question asks:
difference ([product of (-15) and (-2)] and [sum of (-10) and (+3)])difference [ (-15 × -2) and (-10 + 3)](-15 × -2) - (-10 + 3)30 - (-7)Remember:
difference means subtraction
product means multiplication
sum means addition
Find the original price of a pair of shoes if the sale price is $28 after a 50% discount.
Answers
Answer:
The original price was 56 dollars
Step-by-step explanation:
28 divided by 0.5 equals 56
100 POINTS!! BRAINLIEST!!! The graph of the equation y=mx+b is a ____ that shows ____ to the equation . Fill in the blanks.
Answers
Answer:
slope intercept form or an linear equation.
Olivia is selling boxes of Girl Scout cookies. For every 20 boxes she sells, she raises $15 for charity. If Olivia has a goal of raising $60, how many boxes of cookies does she need to sell. Use the numberline to help you solve if needed.
Answers
Answer:
80 boxes
Explanation:
15 goes into 20 4 times, so if 15 dollars = 20 boxes that would be 80 boxes of cookies she would have to sell.
15+15+15+15= 60
20+20+20+20= 80
there were 8 gallons of juice for the third grade picnic.How many gallons of juice were there for each of the third grade classes???? please help with my hw!!!
Answers
7-12 plz help me identify each pair of angles
Answers
7. supplementary
8. same side interior angles
9. alternate exterior angles
10. vertical angles
11. complementary angles (I’m not entirely sure about this one)
12. alternate interior angles
find the sum of the first 10 term of geometric sequence 1,4,16,64
with solutions
Answers
Answer:
349,525
Step-by-step explanation:
1st term:1
2nd term:4
3rd term:16
4th term:64
5th term:256
6th term:1024
7th term:4096
8th term:16384
9th term:65536
10th term:262144
Add them together and get 349,525
a) (x+1)^3=
b) (2x +y)^3=
Answers
Answer:
x= -1 is the option a
answer
Please help! If you do so you will get 50 points and brainiest!
Answers
Answer:
1
Step-by-step explanation:
Explanation: 0v0
Which of the following is a trinomial with a constant term?
A. x + 2y + 10
a
B. X
c. Y6+ 8y3 + 64y
+
D. x2 + y
Answers
Answer:
The answer would be
A. x + 2y + 10
A constant term is considered any term that does not change or have a variable with it. 10 is the only displayed constant term.
Answer:
[tex]\\ \sf\longmapsto x^2+y[/tex]
Step-by-step explanation:
Trinomial means the expression has 3 roots.
In the last one
x has degree 2 so it has 2roots. And there is another variable namely y so another root.Total 3 roots
Anyone know this? Help
Answers
you need to figure out how much it is for 1/2 a kg so:
1.42/2= 0.71
so then you would do:
£1.42+£0.71= £2.13
answer= £2.13
(a) The area of a rectangular parking lot is 7802 m².
If the width of the parking lot is 83 m, what is its length?
Length of the parking lot: Im
(b) The perimeter of a rectangular pool is 352 m.
If the length of the pool is 97 m, what is its width?
width of the pool: Im
Answers
Answer:
A) Length = 94 m
B) Width = 79 m
Step-by-step explanation:
A)
The area of a parking lot is 7802 m²
Area = length x width
7802 = length x 83
length = 7802 ÷ 83
length = 94 m
b)
The perimeter of a pool is 353 m
Perimeter = 2(length + width)
352 = 2(97 + width)
352 = 194 + 2width
2width = 352 - 194
2width = 158
width = 158/2
width = 79 m
-Chetan K
Which general rule maps triangle ABC into triangle A’B’C’?
Answers
If y varies directly with X,
Y
and y= 4.5 when x= 2.5,
what is y when x= 12?
Y
Answers
Answer:
y=1.8x
Step-by-step explanation:
Name three fractions between 1/3 and 1/4
Answers
Answer:
[tex] \frac{2}{7} \\ \\ \frac{5}{16} \\ \\ \frac{7}{24} [/tex]
In training for a swim meet, Logan swam 750 meters in of an hour. His swimming partner, Mila, swam of Logan's distance in of an hour.
Fill in the blanks to compare Mila's and Logan’s swimming speeds.
Compare Mila's and Logan’s swimming speeds. Show your work.
Answers
Is this your question?
In training for a swim meet, Logan swam 750 meters in 1/3 of an hour. His swimming partner, Mila, swam 2/3 of Logan's distance in 1/4 of an hour. (the question is What is Mila's average swimming speed?)
Answer:
Mila's average swimming speed is 34.44 m/min.
Logan's average speed is 2.25 kilometers per hour.
Step-by-step explanation:
Given:
In training for a swim meet, Logan swam 750 meters in 1/3 of an hour.
His swimming partner, Mila, swam 2/3 of Logan's
To Find:
What is Logan's average swimming Speed?
Solution:
The relationship between speed, distance, and time is easily remembered when you consider that speed is written in terms of units of distance per units of time. (miles per hour, or kilometers per hour, for example) "per" means "divided by".
[tex]\left[Speed=\frac{Distance}{Time} \right][/tex]
[tex]\left[speed = (750 m)/(1/3 h) = 2250 m/h = 2.25 km/h\right][/tex]
Logan's average speed is 2.25 kilometers per hour.
-------------------------------------------------------------------------------------------------------------
Given:
In training for a swim meet, Logan swam 750 meters in 1/3 of an hour.
His swimming partner, Mila, swam 2/3 of Logan's distance in 1/4 of an hour
To find:
What is Mila's average swimming speed?
Solution:
The distance swam by Logan = 750 m
The distance swam by Mila = 2/3 of Logan's distance = 2/3 x 750 = 2 x 250 = 500
The time taken by Mila to swim 500 m = 1/4 of an hour = 1/4 x 60 = 15 Minutes [since 1 hr = 60 mins]
We know the formula as:
[tex]\left[Speed=\frac{Distance}{Time} \right][/tex]
Now, substituting the values in the formula above to find the speed of swimming of Mila,
The average swimming speed of Mila = [tex]\frac{500m}{15mintues}[/tex][tex]=33.34m/min[/tex]
Therefore, Mila's average swimming speed is → 34.44 m/min.
The sum of three consecutive even integers is 642. What are the integers? (Show your work too please)
Answers
Answer:
212,214,216
Step-by-step explanation:
n+n+2+n+4=642
add the n's and 2 and 4
3n+6=642
subtract 6 from both sides
636 divided by 3
you get 212 then add 2 twice.
Answer:
212, 214, 216
Step-by-step explanation:
Basically you can divide 642 by 3 to find the average number of the 3. get You get 214, so that means 214 + 214 + 214 = 642
We need consecutive EVEN integers though, so you can take the one even BEFORE and then one even AFTER 214
This means 212 and 216 are used as they are 2 before and 2 after, so when added they still total 642.
if i divide by 7 and subtract by 3 i get 0 what is my number
Answers
Answer:
21
Step-by-step explanation:
to find the number you have to add 3 to zero and then multiply by 7 to get 21 because 21 divided by 7=3 and then subtract 3 and you get zero
Given f(x) = -x + 5, solve for 2 when f(x) = -10.
Answers
Answer:
15
Step-by-step explanation:
replace x with -10
I NEED HELP QUICK
The wholesale cost for a baseball glove at a sporting goods store is $16.50. The store plans to mark up the glove by 120%. What will be the selling price of the baseball glove to the nearest cent?
Answers
Answer:
19.80
Step-by-step explanation:
multiply
Answer:
Cost: 16.50
Markup: 120%
Answer: 19.80
profit: 3.30
Which congruent angles can prove that
lines Land M are parallel?
A. 2 and 7
B. 5 and 8
C. 4 and 6
Answers
Answer:
C 4 and 6
Step-by-step explanation:
Because 4 and 6 are coointerior
does anyone mind helpin me with this issue
Answers
Answer:
5
Step-by-step explanation:
QR / PS = QP / SR
2x + 3 / 4x - 7 = 7 / 7
2x + 3 / 4x - 7 = 1
2x + 3 = 4x - 7
4x - 2x = 3 + 7
2x = 10
x = 10 / 2
x = 5
How? Can a i get a clear explanation. is the question wrong or am i wrong?
Answers
Answer:
U are wrong no need to be pushy to u
Answer please............................... and correctly
Answers
Answer:
3,7. 12,26
6,7.5 25,30
here is the best i can do for u other all good luck
in the right triangle, the legs have lengths 5 and 7 . Express the length of the hypotenuse in radical form?
Answers
Answer:
[tex]\sqrt{74}[/tex] units
Step-by-step explanation:
Hi there!
We can use the Pythagorean theorem to solve this question:
[tex]a^2+b^2=c^2[/tex] where a and b are the two legs and c is the hypotenuse
Plug in the two legs 5 and 7 and solve for c, the hypotenuse:
[tex]5^2+7^2=c^2\\25+49=c^2\\74=c^2\\c=\sqrt{74}[/tex]
Therefore, the length of the hypotenuse in radical form is [tex]\sqrt{74}[/tex] units.
I hope this helps!
Evaluate the expression. {[(12−36)÷(−12)]²−20}÷(−4) plz help asap
Answers
Answer:
I don't know which one it is. It is either 56 or -4. I will come back when I am done the quiz.
The answer is 4 and yes it is spelled 4. IT IS NOT -4. I REPEAT IT IS NOT -4
Step-by-step explanation:
After the simplification of the given expression, the value in the outcome is 4.
Given that,
To evaluate the expression. {[(12−36)÷(−12)]²−20}÷(−4).
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= {[(12−36)÷(−12)]²−20}÷(−4).
Simplifying.
= {[-24/-12]²-20}/-4
= [4-20]/-4
=-16/-4
= 4
After the simplification of the given expression, the value in the outcome is 4.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ5
question 3 please!!!!!!!!!
Answers
Answer:
RIS
Step-by-step explanation:
Answer:
Step-by-step explanation:
WILL GIVE BRAINLIEST
Find the measure of 23 given angle 2 is 70 degrees.
Answers
Answer:
m∡2 = 70°
Step-by-step explanation:
angles 2 and 3 have the same measure in degrees because they are 'vertical angles'
Ted has 18 feet of lumber. How many 2 1/2 foot shelves can he make? Explain your answer.
Answers
Answer:
The answer is 7.2, and if you round it, it would be 7.
y=(x-4)^2
Please explain how to graph the function
Answers
Answer:
[tex]y=(x-4)^{2}[/tex]
Step-by-step explanation:
Find some points on the graph to do the plot.
[tex]x=0\\x=1\\x=2\\x=3\\x=4[/tex] [tex]y=16\\y=9\\y=4\\y=1\\y=0[/tex]
Complete the remaining part of the graph by symmetry.