9514 1404 393
Answer:
(b) see below
Step-by-step explanation:
A removable discontinuity exists when the function is undefined at a point where the limit exists.
Choices A, C, D have no limit at x=7 (does not exist).
__
Choice B can be simplified to ...
f(x) = (x -3)(x -7)/(x -7)
f(x) = (x -3) . . . . . . . x ≠ 7 (domain restriction; undefined at x = 7)
The discontinuity in this function can be removed by defining the function to be f(x) = x-3 everywhere.
Answer:
B
Step-by-step explanation:
Got it right
What is the value of n^-4 w^0 for n=-2 and w=5?
Answer:
1/16
Step-by-step explanation:
-2^-4 = 1/(-2)^4
5^0 = 1
1/(-2)^4 = 1/16
Pls help me with the question in the pic
Answer:
9/16
Step-by-step explanation:
HELP ASAP I WILL MARK BRAINLIEST
Answer:
It's the first one...!!!
*GUYS PLEASE HELP ME ILL GIVE BRAINLIEST*
what you need to do is write an equation for each graph *ILL REALLY APRECIATE YOUR HELP*
Answer:
Download the app photomath and right your solution
First, you need to know what "m" and "b" represents.
"m" represents slope, and "b" represents the y intercept.
For the equation you can combine the information to get y = mx + b
To find "m" indentify points, and see how many you have to go up/down then left/right.
To find "b" since the graphis given see where the line crosses the y axis. (0, b)
1. m = -1, b = 3
y = -1x + 3
2. m = 1, b = -3
y = 1x -3
3. m = 3/1 or 3, b = 1
y = 3x + 1
4. m = -3/1 or -3, b = -3
y = -3x -3
Help Please :)
I'm not sure if I'm correct.
Answer:
You are correct!
For the triangle it is given that AE2 + EB2 = 9 and BE2 + EC2 = 16
Find AC =
Answer:
Step-by-step explanation:Given : right triangle ABC , AE^2 + EB^2 =9 and BE^2 + EC^2 = 16
To find : AC
Solution:
BE ⊥ AC
∠AEB = 90°
=> ΔAEB is right angled
=> AB² = AE² + EB²
=> AB² = 9
∠BEC = 90°
=> ΔBEC is right angled
=> BC² = BE² + EC²
=> BC² = 16
∠ABC = 90°
=> AC² = AB² + BC²
=> AC² = 9 + 16
=> AC² = 25
=> AC = 5
AC = 5
The length of AC is 5 units.
What is a Triangle?Any three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its internal angles sum to 180 degrees. The triangle's angle sum attribute is what is known as.
As per the given data:
We are given the diagram of ΔABC which is right-angled.
BE is perpendicular to AC.
AE² + EB² = 9 ...(i)
BE² + EC² = 16 ..(ii)
By using the Pythagoras theorem in ΔABE:
AE² + EB² = AB²
From comparing with eq (i)
AB² = 9
AB = √9 = 3 units
By using the Pythagoras theorem in ΔCBE:
BE² + EC² = BC²
From comparing with eq (ii)
BC² = 16
BC = √16 = 4 units
By using the Pythagoras theorem in ΔABC:
AB² + BC² = AC²
AC² = 3² + 4²
AC² = 9 + 16 = 25
AC = 5 units.
The length of AC is 5 units.
Hence, The length of AC is 5 units.
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One afternoon, a student who is 5 feet 4 inches tall measured shadows to find the height of a telephone pole. The student's shadow was 5 feet long. At the same time, the shadow of the telephone pole was 18 feet 9 inches long. How tall is the telephone pole?
Please help
Answer:
19.9875 feet
Step-by-step explanation:
The formula is given as:
Shadow of the student/Height of the student = Shadow of the telephone pole/Height of the telephone pole.
1 inch = 0.0833 feet
Shadow of the student = 5ft
Height of the student = 5 feet 4 inches
4 inches to feet
= 4 × 0.0833 feet
= 0.33 feet
Hence: Height of the student = 5 + 0.33 = 5.33 feet
Shadow of the telephone pole = 18 feet 9 inches long
9 inches to feet
= 9 × 0.0833 feet
= 0.75 feet
Hence: Shadow of the telephone pole = 18 + 0.75 = 18.75 feet
Height of the telephone pole= x
Therefore:
5/5.33 = 18.75/x
Cross Multiply
5x = 5.33 × 18.75
x = 5.33 × 18.75/5
x = 19.9875 feet
The height of the telephone pole = 19.9875 feet
A scientific calculator has 42 buttons. There are twice as many grey buttons as orange buttons. There are two more white buttons than grey buttons. There twice as many black buttons as white buttons. WRITE AN EQUATION TO CALCULATE HOW MANY BUTTONS OF EACH COLOUR THERE ARE. LET X REPRESENT THE NUMBER OF ORANGE BUTTONS.
Answer:
x + 2x + 2x + 2 + 4x + 4 = 42
Step-by-step explanation:
Let us assume the number of orange buttons be x
So, the grey buttons be 2x
The white buttons would be 2x + 2
And the black buttons be 2(2x + 2) i.e. 4x + 4
Also the total is 42 buttons
So, the equation is
x + 2x + 2x + 2 + 4x + 4 = 42
Thom is saving up his money to buy a laptop that costs $719.95. Right now he has $178.95, and can save
$79.00 each week. How many weeks will it take for Thom to have enough money to buy the laptop?
Answer:
6.84 weeks
Step-by-step explanation:
$719.95 - $178.95 = 541$
541/79 = 6.84 weeks
Plz need an answer fast
Answer:
Not a function becuase one input value corresponds with multiple output values.
Step-by-step explanation:
Hope it helps
Sharon is buying candy. she buys 5 type on the menu if she splits the price equality with four friends how mich do they each pay
Answer:
D. 0.65
Step-by-step explanation:
0.05 x 5=0.25
0.01 x 5=0.05
0.07 x 5=0.35
0.25+0.05+0.35=0.65
they all must pay 0.65 each
Answer:
0.65
Step-by-step explanation:
Apply the distributive property and simplify. -9(x+2)=45 -9x+(__)=45
PLEASE HELP>YOU CAN LITERALLY SAVE MY LIFE
What is the total bill you would leave for a $22 haircut and a 15% tip?
and
What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip?
Answer:
Step-by-step explanation:
$25.30
and
$68.04
Answer:
25.3 and 77.5 i think
Step-by-step explanation:
What is the solution of the system 3x - 4y = 28 and x + 2y = 6
Answer:
x=8 and y=−1
Step-by-step explanation:
Answer pls. question in photo
What are the four things
that make up
galaxy ? I need a answer quickly and I need it to be correct! I need a answer ASAP! Thanks
how do I solve for x?
Step-by-step explanation:
(5x + 1 ) + 14x + (4x + 5)= 180 [ sum of all angles of a triangle is 180]
Solve the equation 7^{2x}+7^{x+1}+4=0. Correct to 4 decimal places.
Answer:
Step-by-step explanation:
Here is the exact form and decimal form!
List all the integers that satisfy
2< x < 6
Answer:
3,4,5
Step-by-step explanation:
Integers means whole number
< and > means that the integers can't be the same as the number before.
Hope that helps!!
Write an algebraic expression for each situation.
a. 7 more than a number
b. Twice a number
Step-by-step explanation:
a- 7 + X
b- 2x is the equation for these terms I think so
pls help me answer this (multiple choice)
Answer:
Option 3, 18.0
Step-by-step explanation:
To find the Hypotenuse of a right triangle, use the Pythagoras theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
(see image below)
(the longest side of any right △ is always C)
In this equation, we know A is 10 and B is 15, so plug in these numbers and solve for C
[tex]10^{2} +15^{2} =c^{2}[/tex]
[tex]100 + 225 =c^{2}[/tex]
[tex]325 = c^{2}[/tex]
Now that the equation is simplified, we find the square root of 325 to solve for C.
[tex]\sqrt{325 = c^{2}}[/tex]
[tex]18.0 = c[/tex]
The final answer is C = 18.0
Hope this helps you understand :)
p(x)=x^4 -2x^3 -11x +12x+36
The process of solving for all zeros (by hand) of the polynomial (work page)
The list of all solutions
The domain and range of the function
The end behavior of the function
The intervals for which the function is increasing and decreasing
Local Maximum(s)
Local Minimum(s)
x=−2x=-2 (Multiplicity of 22)
x=4x=4 (Multiplicity of 11)
The end points of cd are given.find the coordinates of the midpoint M. C(-8,-6) and D(-4,10)
Answer:
i dont know this is ut of my slybos
Step-by-step explanation:
The end points of cd are given.find the coordinates of the midpoint M. C(-8,-6) and D(-4,10)
A boy arrived at school at 8:15am if he stayed in the school for 4 hours 20 minutes when did he leave
Answer:
12:35
Step-by-step explanation:
The boy left school at time 12:15 pm.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
To find out when the boy left school, we need to add 4 hours and 20 minutes to the time he arrived at school.
To add minutes, we need to make sure both times are in the same format. Let's convert the arrival time of 8:15 am to minutes:
So,
8:15am = 8 x 60 + 15 = 495 minutes
Now we can add 4 hours and 20 minutes:
495 + 4 x 60 + 20 = 735 minutes
So the boy left school at 735 minutes after midnight.
To convert this back to a time, we can divide by 60 to get the number of hours and minutes:
735 minutes / 60
= 12 hours (with 15 minutes remaining)
Therefore,
The boy left school at time 12:15 pm.
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what is the slope of the line that passes through (3, 2) and (4, 11)?
Answer:
9
Step-by-step explanation:
2-11 = -9
3-4 = -1
-9/-1 = 9
Can someone help me with this
Answer:
c
Step-by-step explanation:If you never know an answer just pick c:)daily life advice
Houa's family took a road trip to the Grand Canyon. Houa fell asleep 29% of the way
through the trip. If the total length of the trip was 800 miles, how many miles had
they travelled when Houa fell asleep?
Answer:
232 miles had travelled when Houa fell asleep.
Step-by-step explanation:
1. .29 x 800 = 232
If the total length of the trip was 800 miles then 232 miles had they travelled when Houa fell asleep.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Houa's family took a road trip to the Grand Canyon.
Houa fell asleep 29% of the way through the trip.
If the total length of the trip was 800 mile we need to find the number of miles they travelled when Houa fell asleep.
29% can be converted to decimal by dividing with 100
29/100=0.29
Now multiply 0.29 with 800
0.29×800
232 miles
Hence, 232 miles had they travelled when Houa fell asleep.
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Solve for x. (3x + 17) (8x - 46)
Answer:-15
Step-by-step explanation:
The value of x in the given expression (3x + 17) (8x - 46) is -17/3 or 23/4
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, (3x + 17)(8x - 46), we need to find the value of x,
(3x + 17)(8x - 46)
To find the value of x, equate the expression to 0,
(3x + 17)(8x - 46) = 0
3x+17 = 0
x = -17/3
or
8x-46 = 0
8x = 46
x = 23/4
Hence, the value of x is -17/3 or 23/4
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Please solve this problem for me.
Answer:
It is 63 or 63/1. Billy used change in x over change in y, and the correct formula for slope is the change in y over the change in x.
He might have done it backwards.
1/63
and could be 63 miles in 1 hour
63/1.
Because the graph looks good. (i think)
WOULD SOMEONE TELL ME PLEASE !!
Answer:
A and C
Step-by-step explanation:
alternate-exterior angles need to have one angle above the first line and the other angle below the second line and the angles have to be on different sides of the transversal