Answers
Answer:
first option
Step-by-step explanation:
Given
f(x) = [tex]\frac{2x^2+5x-12}{x+4}[/tex] ← factorise the numerator
= [tex]\frac{(x + 4)(2x-3)}{x+4}[/tex] ← cancel (x + 4) on numerator/ denominator
= 2x - 3
Cancelling (x + 4) creates a discontinuity ( a hole ) at x + 4 = 0, that is
x = - 4
Substitute x = - 4 into the simplified f(x) for y- coordinate
f(- 4) = 2(- 4) - 3 = - 8 - 3 = - 11
The discontinuity occurs at (- 4, - 11 )
To obtain the zero let f(x) = 0, that is
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
There is a zero at ( [tex]\frac{3}{2}[/tex], 0 )
Thus
discontinuity at (- 4, - 11 ), zero at ( [tex]\frac{3}{2}[/tex], 0 )
Related Questions
BRAINLIEST IF ANSWERED CORRECTLY
5 x (12 + 24) x 5
add steps on how you figured this out for brainliest, thanks!
Answers
Answer:
90
Step-by-step explanation:
do parantheses first then work left to right outside of them
1/4 is 60% of x. Write a proportion that you can use to find x
Answers
Woooooooo
The required value of x is approximately 0.4167 if 1/4 is 60% of x.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.
To write a proportion that we can use to find the value of x, we can use the fact that "1/4 is 60% of x" and set up the proportion:
1/4 = (60/100) × x
Here, we have converted 60% to its equivalent decimal form (0.60) and 100% to its equivalent fraction (1).
We can then cross-multiply to solve for x:
1/4 × 1 = 0.60 × x
1/4 = 0.60x
0.25 = 0.60x
x = (0.25) / 0.60
x ≈ 0.4167
Therefore, the value of x is approximately 0.4167.
Learn more about the proportion here:
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PLEASE HELP ME I AM CRYING FOR HELP AND PLEASE ACCULY HELP ME AND DONT JUST TRY TO TAKE MY POINT
I AM CRYING FOR YOUR HELP
Answers
Answer:
Your answer is $11 per t-shirt.
Step-by-step explanation:
220 divided by 4 is 55.
55 divided by 5 is 11, so each t-shirt costs $11.
Answer:
$11
Step-by-step explanation:
Since there is altogether it is $220, there all of 4 packs (contains 5 t-shirts in each pack). So I did $11*5 to get 55 for one pack of shirts. So, do 55 times the 4 packs to get $220 total. Each shirt is $11.
Solve for brainless!
Answers
Answer:
15. 1/3 times 1/3 times 1/3 times 1/3 and 1/81
16. 3/4 times 3/4 and 9/16
17. 2 to the 5th power
18. 4 to th2 4th power
19. 2 to the 4th power, 5 to the 2nd power, and 3 to the 3rd power
Step-by-step explanation:
Hope this helps
Answer:
b j j b j j
Step-by-step explanation:
Which is the slope of the line that passes through the points (12, -6) and (12, 3)?
Answers
Answer:
use the slope equation: (y2-y1) / (x2-x1)
(3 -(-6) / (12-12) (plug in the values)
9/0 the slope is undefined anytime there's a denominator of 0
Step-by-step explanation:
I hope this helps :)
Answer:
Undefined
Step-by-step explanation:
Slope=y2-y1/x2-x1
3-(-6)=3+6
9
12-12=0
9/0 is undefined
given f(x)=17x-18, find x when f(x)=33
Answers
51=17x. divide 17 both sides
3 = x
Write down the value of the 7 in 47298 in figures
Answers
Answer:
thousands or tens thousands
Step-by-step explanation:
I believe the answer is either thousands or ten thousand
Find the 64th term of the arithmetic sequence 33, 25, 17, 9?
Answers
Answer: -467
I sure but not so sure but hoped it helped
Step-by-step explanation:
It’s decrease by 8 so do the formula
an= a + d(n−1).
what are the first 100 digits of pi ([tex]\pi[/tex])?
Answers
Answer:
1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
Answer:
3.14...
Step-by-step explanation:
3.14159265358979323846
$875 couch is purchased. 6% tax is added. how much tax is paid
Answers
Answer:
tax = rate * amount
tax = 0.06 * 875 = $52.50 paid in tax.
Step-by-step explanation:
You buy 3.16 pounds of pears, 1.45 pounds of oranges, and 2.62 pounds of peaches. What is your total bill?
Grocery Store Prices
Item Cost
Pears $1.29 per pound
Oranges $1.09 per pound
Peaches $1.19 per pound
Answers
Answer:
$8.46
Step-by-step explanation:
pears = $3.76
oranges = $1.58
peaches = $3.12
(i believe this is correct but I am not 100% sure)
Solve the system of equations for x and y.
y = x + 5
y = 2x + 2
Answers
Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we
can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
In ATUV, TV is extended through point V to point W,
m VTU (x - 2)°, mZTUV (2x + 11)', and
mZUVW = (6x – 15)°. Find mZUVW.
Answers
Answer:
m∠UVW = 53°
Step-by-step explanation:
From the picture attached,
m(∠VTU) = (x - 2)°
m(∠TUV) = (2x + 11)°
m(∠UVW) = (6x - 15)°
Since, ∠UVW is the exterior angle of the ΔTUV,
By the triangle sum theorem,
m∠VTU + m(∠TUV) + m(∠UVW) = 180°
(x - 2)° + (2x + 11)° + (6x - 15)° = 180°
9x - 6 = 180
9x = 186
x = [tex]\frac{186}{9}[/tex]
x = [tex]\frac{62}{3}[/tex]
By the property of exterior angle of a triangle,
m(∠UVW) = m(∠VTU) + m(TUV)
= (x - 2) + (2x + 11)
= 3x - 9
Now by substituting the value of x,
(3x - 9)° = [tex]3(\frac{62}{3})-9[/tex]
= 62 - 9
= 53°
Therefore, m∠UVW = 53°
compare using >,= or <
e. 7.2 _ 7
f. -7.2 _ -7
Answers
Answer:
e. 7.2 > 7
f. -7.2 < -7
Step-by-step explanation:
Refer to number line
question in photo. I’ll give brainlist and a cookie
Answers
Answer: “A”?
Step-by-step explanation:
y need the operacion for the math
Answers
Answer:
FOR THE MEMESSSSSSZZ
Step-by-step explanation:
Why is 8:6 equivalent to 4:3 and 16:12
Answers
Which expression below does not give the area of this figure?
a
b
c(a+b)
(a+b)c
ab + ac
ac + bc
Answers
Answer:
Step-by-step explanation:
Ab + ac
If there are 30 boys and 15 girls in the room fill out all the possible ratios of boys to girls that could be made
Answers
Answer:
All the possible ratios of boys to girls that could be made are:
30:15
10:5
6:3
2:1
Step-by-step explanation:
If there are 30 boys and 15 girls in the room
We have :
Boys : Girls
30 : 15
a) 30 : 15
Dividing through by 3
= 10:5
b) 30 : 15
Dividing through by 5
= 6:3
c) 30 : 15
Dividing through by 15
= 2:1
Hence:
All the possible ratios of boys to girls that could be made are:
30:15
10:5
6:3
2:1
Will Mark Brainliest to the smartest and best answer!!!!! What is the measure of each interior angle in a regular 24-gon? If necessary, round your answer to one decimal place. PLEASE SHOW ALL/FULL SOLUTIONS. THANK YOU AND GOD BLESS.....
Answers
Answer:
165°Step-by-step explanation:
Use sum of internal angles formula 180°(n - 2)
For regular 24-gon it is:
180°(24-2) = 3960°Each angle would be:
3960/24 = 165°please help me i love u :-
what's the percentage of the a when the percentage of b is 6
Answers
Answer:
what is the full number supposed to be when you add the a and b together?
Roger will pay for an annual gold memebership that costs $500. He has $350 in his checking account. Which statement is true if Roger uses a debit card to pay for the membership?
Answers
Answer see the options below for the possible outcomes
Step-by-step explanation:
Given information:
Although the question did not provide a list of options to choose from, we can still tell what is likely to be the statements
The cost of membership is $500
and the balance you have is $350
Here are the possible outcomes
1.This means your have insufficient funds to make the payment
2. If you have an over draft facility you payment maybe authorized and you will be Charged later when you have the funds in your account
find what b=_____
show work please
Answers
Work out the surface area of this cylinder.
Answers
Answer: A≈2010.62
Step-by-step explanation:
Hope this helps
please help me :'))))))
Answers
Answer: v = -7
Step-by-step explanation:
so, first, we collect the like terms.
8v - 18 = -74
then, we move the constant to the right.
8v = -74 - 18
then, we calculate that.
8v = -56
finally, we divide both sides.
v = -7
It cost $2.50 for 10 hours of cable usage and $.50 for usage over 10 hours. Henry's favorite TV series is 48 minutes long. Let variable s equal the series in hours. Write an algebraic expression for viewing Henry's series for more than 10 hours.
Answers
Answer:
y = 2.50 + 0.5s
Step-by-step explanation:
It cost $2.50 for 10 hours of cable usage and $.50 for usage over 10 hours. Henry's favorite TV series is 48 minutes long.
Let variable s = series in hours.
The algebraic expression for viewing Henry's series for more than 10 hours is given as:
y = $2.50 + $0.5 × s
y = 2.5 + 0.5s
who here likes anime and who here is a weeb
Answers
Answer:
i like Haikyuu
Step-by-step explanation:
Answer:
I love anime. And I guess i'm a weeb..?
Step-by-step explanation:
Noel bought a printer for $10 less than half its original price. If noel paid $88 for the printer, what was the original price?
Answers
Answer:
$196
Step-by-step explanation:
Step one
given data
We are told that Noel bought a printer for $10 less than half its original price
let the original price be x
hence Noel paid = x/2-10= 88
Step two
amount paid= x/2-10= 88
Collect like terms
x/2= 88+10
x/2= 98
cross multiply
x=196
Hence the original price is $196
is every relation also a function? explain
Answers
"All functions are relations but all relations are not functions."
Functions are the relation that classifies the set of outputs to the set of inputs. Moreover relation is identified as the group of ordered pairs.
A relation is a way of expressing a connection or relationship between any two pieces of information.
Thus, every relation is not a function.
The number of Votive candles varies directly as the price. What is the ratio of candles to dollars?
Answers
Answer: $2 per candle
Step-by-step explanation:
Dollars to candles
4 to 2
is equivalent to
2 to 1
$2 per candle
The ratio of candles to dollars is 1/2.
$2 per candle.
Option B is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The following coordinates are from the graph.
(2, 4), (4, 8), (8, 16).
The x-coordinates denote the number of candles.
The y-coordinate denotes the cost.
Now,
(2, 4) means 2 candles cost $4.
(4, 8) means 4 candles cost $8.
(8, 16) means 8 candles cost $16.
The ratio of candles to dollars.
= 2/4
= 1/2
This means,
The cost of one candle is $2.
Thus,
The cost of one candle is $2.
Learn more about coordinates here:
https://brainly.com/question/13118993
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