Hello!
[tex]\large\boxed{\text{Infinite discontinuity at x = 2}}[/tex]
[tex]f(x) = \frac{x^{2} - 4x - 12}{x - 2}[/tex]
Recall that in a rational function, the denominator contains the vertical asymptote (an infinite discontinuity).
If terms can be canceled from the denominator and the numerator, then the function contains a hole. We can check whether this function contains such by factoring:
[tex]f(x) = \frac{(x - 6)(x + 2)}{x - 2}[/tex]
There is no common factor, so the function only contains a discontinuity at its vertical asymptote.
Find the vertical asymptote by setting the denominator equal to 0:
x - 2 = 0
x = 2.
Find the volume of this prism.
Please help I’m really stuck.
Answer:
840cm³is a required answer.
gabe goes to the mall. if k is the number of items he bought, the expression 17.55k+27 gives the amount he spent in dollars at one store. then he spent 24 dollars at another store. find the expression which represents the amount gabe spent at the mall. then estimate how much gabe spent if he bought 4 items.
Answer:
68.55
Step-by-step explanation:
An electricaian charges $75 per hour on top of a set up fee of $50
Answer:
h(75)+50 h is the number of hours worked
Step-by-step explanation:
What is the volume of the following triangular pyramid?
Answer:
The volume of the triangular pyramid
V = 566.66 in³
Step-by-step explanation:
Step(i):-
The volume of the triangular pyramid
[tex]= \frac{1}{3} X base area X height[/tex]
Base area = Area of the triangle
[tex]A= \frac{1}{2} X base X height[/tex]
Given the base of the triangle (b) = 17in
Given Height of the triangle (h ) =10 in
[tex]A= \frac{1}{2}( 17 ) (10) = 85[/tex]
The base area of the pyramid ( A) = 85 in²
Step(ii):-
Given the height of the pyramid (h) = 20in
The volume of the triangular pyramid
[tex]= \frac{1}{3} X base area X height[/tex]
The volume of the triangular pyramid
= [tex]= \frac{1}{3}( 85)(20) = 566.66[/tex]
Final answer:-
The volume of the triangular pyramid
V = 566.66 in³
An economy package of cups has 960 green cups. If the green cups are 40% of the total package, how many cups are in the package?
Answer: 2400 cups
Step-by-step explanation:
total # of cups = x
# of green cups = 960
% of green cups of total = 40%
# green cups/# of total cups = % of green cups/% of total cups
960/x = 4/10
9600 = 4x
2400 = x
a. Determine whether the function y = 2(0.82)' represents exponential growth or exponential decay.
la respuesta es 1.64 olvida lo de abajo
[tex]1yx)4 {x74xy4xy}^{?} [/tex]
pretty please help me
Answer:
A
Step-by-step explanation:
find there common denominator which is 40
multiply 3 by 8 and 7 by 5 to get 24 and 35
35-24=11
11/40
18-7=11
11 11/40
hii I’ll mark brainliest
can someone explain how to do this and give the answer please
Answer:
c. 35
this is because angle l is respectfully opposite to angle m which is BDC it's also 35°
Guys please can someone solve this problem I’ve been trying for the last 50 minutes.
Answer: 110/290
Step-by-step explanation:
USE A PROTRACTOR
Answer:
[tex]5y - 23 + 7y + 5 = 90 \\ 12y - 18 = 90 \\ 12y = 108 \\ y = 9[/tex]
HELP PLS ITS DUE TONIGHT
STEP BY STEP
What is the measure of angle x?
Answer:
x = 60°
Step-by-step explanation:
We know that ∠H is 30° and we know that ∠J is 90° thanks to the red box. The sum of the angles of a triangle is 180°, so we can use this to solve for x.
x + 30 + 90 = 180
x + 120 = 180
x = 60
Therefore, it is 60°.
Now the population of bacteria is two to the fourth power times two to the sixth power. Expressed as a power, how many bacteria is on the petri dish after 150 minutes?
Answer: 2¹⁰ bacteria
Step-by-step explanation:
There were originally 2⁴ bacteria in the dish.
After 150 minutes this number doubled 6 times which means it increased by 2⁶.
The number of bacteria will become:
= 2⁴ * 2⁶
= 2⁴⁺⁶
= 2¹⁰ bacteria
factorize 2a^2+7a-15
Answer:
2a^2+10a-3a-15
2a(a+5)-3(a+5)
(2a-3) (a+5)
[tex] \huge\bf \pink {\underline{Solution :-}}[/tex]
[tex]2 {a}^{2} + 7a - 15[/tex]
[tex] = 2 {a}^{2} + 10a - 3a - 15[/tex]
[tex] = 2a(a + 5) - 3(a + 5)[/tex]
[tex] = (a + 5)(2a - 3)[/tex]
[tex] \sf \red{Hence, Answer \: is \: (a + 5)(2a - 3).}[/tex]
[tex] \\ [/tex]
[tex] \bf \purple{ \underline{ Important \: Formulas \: for \: Factorization :-}}[/tex]
[tex]• \: {a}^{2} + 2ab + {b}^{2} = {(a + b)}^{2} [/tex]
[tex]• \: (a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
[tex]• \: {a}^{2} - 2 ab + {b}^{2} = {(a - b)}^{2} [/tex]
[tex]• \: {a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3} = {(a + b)}^{3} [/tex]
[tex]• \: {a}^{3} - 3 {a}^{2} b + 3a {b}^{2} - {b}^{3} = {(a - b)}^{3} [/tex]
[tex]• \: {(a + b)}^{2} + {(a - b)}^{2} = 2( {a}^{2} + {b}^{2} )[/tex]
[tex]• \: {(a + b)}^{2} - {(a - b)}^{2} = 4ab[/tex]
[tex]• \: (a + b)( {a}^{2} -ab + {b}^{2} ) = {a}^{3} + {b}^{3} [/tex]
[tex]• \: (a - b)( {a}^{2} + ab + {b}^{2} ) = {a}^{3} - {b}^{3}[/tex]
[tex]• \: {( \frac{a + b}{2} )}^{2} - ( {\frac{a - b}{2} } )^{2} = ab[/tex]
Move each number to the correct place on the number line. Then, move the correct symbol to the comparison.
Answer choices:
-1.5
-3/4
>
<
=
Answer:
<
Step-by-step explanation:
I need help with this, if anyone can answer it would be very nice. :D
Answer:
20%
Step-by-step explanation:
Divide 14 by 70 to get the answer 0.2. Since it is 0.2 it is also equivalent to 20% which is the percentage Marley has rolled a strike.
Im sort of confused pls help..
Answer:
70. Each chore they do is plus 4. So you would subtract 4 from 74 and you would get 70.
2(-6(3-12)-17)= What the answer..........
Answer:
ans below
Step-by-step explanation:
its
74 the answer
Given: 5x + 3 > 4x + 7.
Choose the graph of the solution set.
[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct . }}}[/tex]
Step-by-step explanation:For the number line refer to the attachment :
A linear inequality is given to us . And we need to find the correct number line. So the given linear inequality is :-
[tex]\bf \implies 5x + 3 > 4x + 7 \\\\\bf\implies 5x - 4x > 7 - 3 \\\\\bf\implies \boxed{\red{\bf x > 4 }}[/tex]
This implies that the value of x is Greater than 4 . That is the inequality can have all the values more than 4. So when we see the given number lines we see that the first number line represents all values greater than 4 .
Hence the first graph of the solution set represents the given linear inequality.Answer: B is correct
Step-by-step explanation: Tried a on the test, got it wrong, then tried b and got it right.
J
Find the value of x that will make L||M.
6x + 8
S
4x + 2
M
X =
Enter
Answer:
17 is a required answer.
I WILL GIVE BRAINLEIST..
Answer:
B. Ronit has 32 bananas. She started with 12 bananas. She bought 4 bunches of the same number (x) . How many bananas were in each bunch?
Step-by-step explanation:
This one is right because if you were to actually solve this problem the equation would be the exact same
She has 32 bananas (=32)
She started with 12 (12+)
and she bought 4 more bunches, but we don't know how many are in each bunch, which would be X
12+4x =32
1.
What type of polynomial is this?
- 3x3 - x2 - 10x + 12
O a) Monomial
c) Trinomial
O b) Binomial
d) Polynomial
Answer:
monomial
Step-by-step explanation:
Please need answers please
Answer:
The absolute value is the distance between a number and zero. The distance between −13 - 13 and 0 0 is 13 13 . −1⋅13 - 1 ⋅ 13. Multiply −1 - 1 by 13 13 .
Step-by-step explanation:
Happy to Help 13
Jake wants to make a garden with a border in the corner of his yard. He has lumber in several different lengths. Which three lengths could NOT be used to make a right triangle to fit into the corner of his yard?
Answer:
10ft,15 ft, 12ft
Step-by-step explanation:
A car dealership sold 236 car in 4 months. At what rate did the dealership sell cars in per month ?
what is the value of x in 6-3x=5x-10x+12
A town has a population of 14000 and grows at 5% every year. What will be the population after 14 years, to the nearest whole number?
Answer:
Step-by-step explanation:
Take 14000 and divide by 5 then multiply by 14.
....................................Graph y=−x−2.
someone PLEASE help me ASAP!! (domain and range)
Answer:
a-yes
b-3
Step-by-step explanation:
the numbers are all 3 apart
Answers:
(a) Yes this sequence is arithmetic.(b) The common difference is d = -3=================================================
Explanation:
This sequence is arithmetic because we're adding -3 to each term. This is the same as subtracting 3 from each term.
-13 + (-3) = -13 - 3 = -16
-16 + (-3) = -16 - 3 = -19
-19 + (-3) = -19 - 3 = -22
and so on. The term we add on each time is the common difference. It describes how the terms are spaced out, and how to generate each new term. The negative common difference is due to the sequence terms decreasing. An arithmetic sequence and a linear function are closely related ideas.
Solve the equation v + f – e = 2 for e.
Answer:
e = -2 + v + f
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
v + f - e = 2
Step 2: Solve for e
Subtract v on both sides: f - e = 2 - vSubtract f on both sides: -e = 2 - v - fDivide -1 on both sides: e = -2 + v + fDraw a possible net for the figure above.
Please need this done like rn
