The expression is undefined when x=3 or -3
Solution:An expression is undefined when it's divided by 0.In order to make the denominator equal 0, we need to subtract 9-9. Notice that x is squared.So x times itself should equal 9. What number is it?That's right, 3.So we have9-(3)^2=9-9=0There's also another solution: x=-3 (-3•(-3)=9Hope it helps.
Do comment if you have any query.
Answer: The expression is undefined when x is 3 or -3
Step-by-step explanation:
The denominator of a fraction can never be 0 because you cannot divide by 0. So all we have to do is determine the value of x when the denominator is equal to 0.
[tex]9-x^{2} =0\\[/tex]
We want [tex]x^2[/tex] to be positive so divide everything by -1
[tex]9-x^{2} =0\\\\\frac{9-x^{2}}{-1}=\frac{0}{-1} \\-9+x^2=0\\x^2-9=0[/tex]
Use difference of two squares (DOTS) to factor
[tex]x^2+9=0\\(x+3)(x-3)=0[/tex]
So x cannot be 3 or -3
Use the picture I provided to help me answer the question.
Which of the following are examples of exponential decay? Select all that apply.
Math Nation
十
O
A vehicle depreciates 13% each year.
A tree is doubling in height each year.
D
An investment earns a 5% interest each year.
0
Air pressure decreases 12% for every 1000 meters in height.
O
The population of a town is growing at an annual rate of 3.5%.
0
A retirement account decreases by $12,000 each year.
A radioactive element has a decay rate of 10%.
A farmer has an equal number of horses in 4 different fields on his farm. Which choice could be the total
number of horses?
205
232
253
289
Answer:
B -- 232
Step-by-step explanation:
because you can divide 232 by 4 and get a whole number.
what is the slope of (2,5) (-6,-3)
Answer:
m=1
Step-by-step explanation:
(2,5);(−6,−3)
(x1,y1)=(2,5)
(x2,y2)=(−6,−3)
Use the slope formula:
m=
y^2−y^1
x^2−x^1
=
−3−5/−6−2
=
−8/−8
=1
Answer:
m=1
Answer:
[tex]\boxed{\sf{1}}[/tex]
Step-by-step explanation:
To solve this problem, you have to use a slope formula.
Slope formula:
[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{Rise}{run} }[/tex]
[tex]\sf{y_2=(-3)}\\\\\sf{y_1=5}\\\\\sf{x_2=(-6)}\\\\\sf{x_1=2}[/tex]
Rewrite the problem down.
[tex]\sf{\dfrac{(-3)-5}{(-6)-2} }[/tex]
Solve.
[tex]\sf{\dfrac{(-3)-5}{(-6)-2}=\dfrac{-8}{-8}=\boxed{\sf{1} }[/tex]
Therefore, the slope is 1, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
which is correct and explain
Answer:
c
Step-by-step explanation:
There were 15 birds in the park. Some (n) of them flew away. Which expression could be
used to figure out how many birds are still remaining in the park?
Answer:
15-n
Step-by-step explanation:
subtract the number that flew away from the total number of birds that were there
What is the approximate area of Laura’s yard?
To find the area of an irregular shape (in general)
⇒ is best to split it into different regular shapes
⇒ (in this case), let's split into a half-circle and a square
Area of the half-circle:
⇒ half the area of a circle ([tex]\pi r^2[/tex])
⇒ Area of half-circle = [tex]\frac{1}{2}\pi r^2[/tex]
r: length of radius ⇒ half of length of the diameter ⇒ 8.5m[tex]\pi[/tex] = 3.14Area of Half Circle = [tex]\frac{1}{2}\pi (8.5)^2 = 113.5m^2[/tex]
Area of square
⇒ length * width
⇒ Area of Square = 17 * 17 = 289[tex]m^2[/tex]
Total Area = 113.5 + 289 = 402.5 ≈ 402[tex]m^2[/tex]
Hope that helps!
6. The table below represents the number of
donut holes per box at Damon's Donuts. What
is the median number of donut holes?
# OF DONUT
HOLES
22
23
24
25
FREQUENCY
1
2
3
2
A. 23
B. 23.75
C. 24
D. 24.5
i need help 9th grade math
Answer:
-x + 1
Step-by-step explanation:
f(x) = 2x + 3
g(x) = 3x + 2
we want to find (f-g)(x)
(f-g)(x) is the same as saying f(x) - g(x)
f(x) - g(x) = (2x + 3) - (3x + 2)
==> remove parenthesis and apply negative sign
f(x) - g(x) = 2x + 3 - 3x - 2
==> combine like terms
f(x) - g(x) = -x + 1
Put values
2x+3-(3x+2)2x+3-3x-2-x+1If f(1)=2 and f(n) = f(n-1)^2+4 then what is the value of f(3)?
Answer:
f(3) = 68
Step-by-step explanation:
Given:
[tex]\sf f(1)=2[/tex]
[tex]\sf f(n) = f(n-1)^2+4[/tex]
[tex]\sf \implies f(2) = f(1)^2+4[/tex]
[tex]\sf \implies f(2) = 2^2+4=8[/tex]
[tex]\sf \implies f(3) = f(2)^2+4[/tex]
[tex]\sf \implies f(3) = 8^2+4=68[/tex]
Find the mean and the median of this data: 9, 6, 5, 3, 28, 6, 4, 7.
Answer: 9 is mean and median is 6
Step-by-step explanation:
Need help ASAP! WILL GIVE BRAINLIEST!
Answer:
see explanation
Step-by-step explanation:
45,612 × [tex]\frac{1}{2}[/tex] = 22,806
Thus Beth sold half the number of books that Rodney sold
(4)
[tex]\frac{1}{2}[/tex] × 2,175 = 1,087.5 < 2,175
Which of the following expressions are equivalent to -2(5 – 3)?
Choose all answers that apply:
A
-10 - 6
B
-10 + 6
None of the above
Peno
Sos
Answer:
It's B
-10 + 6
Step-by-step explanation:
Here, we gotta use the distributive property.
the -2 will distribute to the 5, which will make the -10
then, the -2 will also distribute to the -3 (the minus is the negative) which will make the 6
So, that should give you the -10 + 6, which is B
hope this helped :)
Answer:
[tex]\boxed{\sf{B.-10+6}}[/tex]Step-by-step explanation:
Use the distributive property.
Distributive property:
→ A(B+C)=AB+AC
→ -2(5-3)
Multiply.
→ -2*5=-10
→ -2*3=-6
Rewrite the problem down.
→ = -10+6
Therefore, the correct answer is B. -10+6.I hope this helps you! Let me know if my answer is wrong or not.
in a class children, three quarters are chinese, one fifth are malay, and the rest are indian. what fraction of the class are indian?
Answer:
[tex] \frac{1}{20} [/tex]
or 5%
Step-by-step explanation:
Explanation:
3/4=15/20
1/5=4/20
So, rest of 'em 1/20
Answer:
1/20.
Step-by-step explanation:
1 - 3/4 - 1/5
= 20/20 - 15/20 - 4/20
= 1/20
Label the missing angle on this window.
Answer:
C
Step-by-step explanation:
Since the angles in a triangle add to 180 degrees, the third angle is 180-70-45=65 degrees
Consider the following polynomial
Step-by-step explanation:
Degree is 6
Leading coefficient is 5
Constant term is 8
Find the length of a path that runs diagonally across a 20-yard by 50-yard field
Answer:
c = 53.85 or 54
Step-by-step explanation:
Ill give you a cookie if you answer the question correct
Answer:
$7.20
Step-by-step explanation:
convert 1 1/4 to decimal form.
0.25+1=1.25
9/1.25 =7.20
on the number line,label the points that are 5 over 2 units away from 0. What is the distance between these points
Answer: 5 units
Step-by-step explanation:
5/2 = 2.5
they are 2.5 away on each side of 0 therefore the points are 5 units away from each other
Which function is graphed below?
Answer:
The function y =f (x) is graphed below. Plot a line segment connecting the points on f where x = -9 and x = -3. Use the line segment to determine the average rate of change of the function f (x) on the interval -9 <x <-3?
Step-by-step explanation:
I am not sure where or what you are talking about?
Answer 1-30 With work shown Please and Thankyou
Answer:
Find the following square and cube roots.1. √144 2.√16 3.√289
= 12 = 4 = 17
4. √(4/81) 5. √25 6. √400
= 0.222 = 5 =20
7. 3√27 8. 3√-8 9. 3√216
= 15.588 = -2 = 6
10. 3√343 11. 3√-1000 12. 3√1
= 7 = -10 = 3
________________________________
Simplify the following square and cube roots. SHOW WORK!13. √112
= solution,
Cube roots, square roots,
3√112 2√112
= 3√(2x2x2)x2x7 = 4√28
= 2 ∛14 = 4√7
= 4.82
14. √20
=
The diameter of a circle is 18 ft. Find its area in terms of pi
Answer:
81π
Step-by-step explanation:
To find the area of a circle, the formula is πr^2
r=radius, and radius is half the diameter, so it is 9.
Plug the radius into the formula to get 81π
(9^2*π)
If this answer helped you, I would greatly appreciate the brainliest :D
What are 5 applications of Geometry in real life?
Answer:
•construction of buildings
•Interior designs
•Art
•Measuring of orbits and planetary •motions Interior designs
Find the area of a regular octagon with an apothem length of 10 and a side length of 6.
Answer:
A = 240 units²
Step-by-step explanation:
the area (A) of a regular polygon is
A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )
here p = 8 × 6 = 48 ( an octagon has 8 sides ) and a = 10 , then
A = [tex]\frac{1}{2}[/tex] × 48 × 10 = 24 × 10 = 240 units²
Answer:
Step-by-step explanation:
Preliminary task
Draw a regular octagon.
Draw a perpendicular from the side's midpoint to the center. (That is the apothem).
Draw two radii from the center of the side to the center of of the octagon. The endpoints of these two radii is the endpoints of the octagon's side.
The octagon has 8 such triangles.
Area one triangle
Area = 1/2 * side * apothem
side = 6
apothem = 10
Area = 1/2 6 * 10
Area = 30
Area of 8 such triangles.
Area = 8 * area of 1 triangle
area 1 triangle = 30
Area of 8 such triangles = 30*8 = 240
Answer 240
Find the values of the variables.
31
W
Х
V
у
68°
Z
Answer:
X=121, y=59, w=59, z=53
Step-by-step explanation:
To find w, we know that the interior angles of a triangle are 180°. Thus ↓
180-31-90=59
For y, we know that y and w are opposite angles. Therefore, y = w = 59.
To find x, we know that there is a one straight line, so therefore we use ↓
180-59=121
Lastly, to find z, we know that the interior angles of a triangle are 180°. Thus ↓
180-59-68=53
I've attached a photo for better understanding. Hope this helps =)
Which of the following statements is no True?
A) the square root of 112 is between 10 and 11
B) the square root of 180 is between 13 and 14
C) the square root of 12 is between 4 and 5
D) the square root of 5 is between 2 and 3
Answer:
correct answer is A. because the square root of 122 is 11.06 which means its between 11 and 12, not 10 and 11
Step-by-step explanation:
PLEASE HELP ME I REALLY NEED IT
Answer: 170
Step-by-step explanation: Angle G and Angle H are consecutive angles, meaning they both add up to 180 degrees. Thus, if 10 is the value of Angle G, Angle H must be 170.
i really need help please
Answer:
56⁰
Step-by-step explanation:
I hope it helps you
If any doubts do let me know in the comments
. Mark drove 180 miles in 3 hours at
a constant speed. Let D equal the
distance traveled and t equal the time
traveled. Which of the following is
the constant of proportionality?
A) 3, as in D=3t
B) 60, as in D=60t
C) 180, as in D=180t
D) 540, as in D=540t
Answer:
d = 60t
Step-by-step explanation:
distance = d
time = t
every hour 60 miles are travelled so its 60t
referring to 60*time eg 60*3 = 180
After she finished making the cookies, Ashley had 0.945 kg of flour lett. How much flour did she use?
Answer:
[tex]she \: used \: 1.695 \: kg \: of \: flour.[/tex]
Step-by-step explanation:
[tex]2.64 - 0.945 = 1.695[/tex]