HELP !!!.
I need help with these questions( see image).
Please show workings.
Answers
9514 1404 393
Answer:
a) 7b) -27c) 18d) 8e) 2f) 1Step-by-step explanation:
The limit of any polynomial function at a point is the value of the polynomial at that point. A polynomial is defined and continuous for all values of the independent variable.
The limit of a rational function at a "hole" is the value of the simplified function at that point.
1a) lim = 4+3+2-2 = 7
1b) lim = (3)(-3)(3) = -27
1c) lim = 3^2+9 = 18
1d) lim = (x+4) = 4+4 = 8
1e) lim = 3x+1 = 3(1/3) +1 = 2
1f) lim = x^2/x^2 = 1
_____
The expressions of (e) and (f) can be simplified by factoring the difference of squares: a^2 -b^2 = (a -b)(a +b). In each case, one of the factors cancels the one in the denominator, so the remaining function can be evaluated at the limit point.
As x approaches infinity, the only terms of a rational expression that matter are those of the highest degree in numerator and denominator. (There's a little more to it if the numerator has a higher degree than the denominator.)
Related Questions
How many quarters and dimes must Jada have to equal $2 and 17 coins?
Answers
quarters: 8
dime: 1
explanation: 8 quarters = 2$ and 1 dime = 10 cents
factor the expression -20x - 15
Answers
Answer:
−5(4x+3)
Step-by-step explanation:
pls help i will give brainliest
Answers
Answer:
( -4 , 13 )
Step-by-step explanation:
2 ( -4 ) + ( 13 ) = 5
5 = 5
3 ( 13 ) = 15 - 6 ( -4 )
39 = 39
( -4 , 13 )
Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years?
Answers
Answer:
£1430
Step-by-step explanation:
Given data
Principal =£1100
Rate= 5%
time = 6 years
The simple interest formula is
A=P(1+rt)
substitute
A=1100(1+0.05*6)
A=1100(1+0.3)
A=1100(1.3)
A=1100*1.3
A=£1430
Hence the balance is £1430
mark takes a 40 question test for which he receives 2.5 for each correct answer and losses 1 point for each wrong answer. If mark answers all the questions and gets a grade of 65% of the test, what percent of the questions did he answer correctly?
Answers
Answer:
he answered 26% correctly
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
please help me with this
:(((
will give 5 stars
Answers
3x² + 6
Answer:
3x^2+6x
Step-by-step explanation:
the 3rd one
Find each function value f(-7) if f(x) = 3x + 6
Answers
Answer:
-15
Step-by-step explanation:
3*-7=-21+6=-15
Answer:
Step-by-step explanation:
first multiply -7 and 3 since -7 is the element of the function (x)
then you should get (-21)
now add 6 and you answer should be (-15)
Can y'all help meh please!
Answers
Answer:
__________________the answer is C _____________
Answer:
C.
Step-by-step explanation:
The y intercept is when x=0
so (0, -7) is the y-intercept
slope is found when you subtract y-y1/x-x1
-10- (-7) / 9-0
-3/9
simplified is -1/3
slope is -1/3 and y intercept is (0, -7)
ekusysnyeyuejteyjdjgdyjd
Answers
Answer:
a. < less than
b. > greater than
c. > greater than
d. > greater than
e. < less than
Plzzzzz give me Brainliest!
what is 5x – 8x + 2 + 5=
Answers
Answer: -3x+7
Step-by-step explanation: Good luck! :D
Answer:
-3x+7
Step-by-step explanation:
(5x-8x)+(2+5) Like terms together
(-3)x+7 Combine within each group
-3x+7 Simplify the signs in the product
-3x+7 Is your answer
Hope that helps :)
Please hurry it’s 100 points
Answers
Answer:
I Believe B
Step-by-step explanation:
Hope this helps:)
Answer:
B
Step-by-step explanation:
Its B
Find the value of w°
Answers
Answer:
w = 59
Step-by-step explanation:
90 + 31 +w = 180
121 +w = 180
w = 180 - 121
w = 59
how many feet tall is the building
Answers
Answer:
Height of the building = 77 ft.
Step-by-step explanation:
Let the height of the building (AB) = h feet
It's given that height of a woman (ED) = 5 feet 3 inches
≈ 5 feet + [tex]\frac{3}{12}[/tex] ft
≈ 5.25 ft
Length of the shadow (BC) of the building = 55 ft
Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft
Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.
By the property of similar triangles,
[tex]\frac{AB}{ED}= \frac{BC}{DC}[/tex]
[tex]\frac{h}{5.25}=\frac{55}{3.75}[/tex]
h = [tex]\frac{55\times 5.25}{3.75}[/tex]
h = 77 ft
Therefore, height of the building will be 77 ft.
the difference of a number t and 9
t-9 or 9-t
Answers
solve each equation. 7(x+4)-6(x+3)=x+5
Answers
Answer:
7(x+4)-6(x+3)=x+5
or , 7x + 28 - ( 6x + 18 ) = x + 5
or , 7x + 28 - 6x - 18 = x + 5
or , x + 10 = x + 5
The equation is incorrect !!
7(x+4)-6(x+3)=x+5
We simplify the equation to the form, which is simple to understand
7(x+4)-6(x+3)=x+5
Reorder the terms in parentheses
+(+7x+28)-6*(x+3)=x+5
Remove unnecessary parentheses
+7x+28-6+*(+x+3+)=+x+5
Reorder the terms in parentheses
+7x+28+(-6x-18)=x+5
Remove unnecessary parentheses
+7x+28-6x-18=+x+5
We move all terms containing x to the left and all other terms to the right.
+7x-6x-1x=+5-28+18
We simplify left and right side of the equation.
0x=-5
0=-5
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
(hope that helps you out :)
how many subsset can be obtained from the set A={ m, a ,t ,h}
Answers
Answer:
Step-by-step explanation:
{m}, {a} , {t} ,{h} ,{m,a}, {m,t} ,{m,h} ,{a,t} ,{a,h} ,{t,h} ,{m,a,t} ,{m,a,h} ,{m,t,h} ,{a,t,h} ,{ m,a,t,h} , {} are the subsets of the given question.
If you found my answer useful then please mark me brainliest.
Please answer this I’ll give you brainliest!!!
Answers
Step-by-step explanation:
im not sure
JOE'S MOUNTAIN BIKE WEIGHS 7 POUNDS MORE THAN ANDY'S. IF THEIR BIKES WEIGH 45 POUNDS ALTOGETHER, HOW MUCH DOES JOE'S BIKE WEIGH?
Answers
Answer:
26
Step-by-step explanation:
45-7=38,
38/2= 19,
19+7=26
1) Ben has 15 coins, all dimes and quarters, worth $2.55. How
many dimes and how many quarters does Ben have?
Answers
Answer:
Ben has 8 dimes and 7 quarters.
Step-by-step explanation:
Given that:
Number of coins = 15
Worth of coins = $2.55 = 2.55 * 100 = 255 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement,
x+y=15 Eqn 1
10x+25y=255 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=15)
10x+10y=150 Eqn 3
Subtracting Eqn 3 from Eqn 2
(10x+25y)-(10x+10y) = 255 - 150
10x+25y-10x-10y=105
15y=105
Dividing both sides by 15
[tex]\frac{15y}{15}=\frac{105}{15}\\y=7\\[/tex]
Putting y=7 in Eqn 1
x+7=15
x=8
Hence,
Ben has 8 dimes and 7 quarters.
Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and shipping, to purchase 6.3 total pounds of nuts
Answers
How to write the question using the follow sentence#1
Will mark Brainliest
Answers
Answer:
7 times 4 = 28
28 + 6 = 34
Step-by-step explanation:
Find the missing side length
Answers
John is going to the store. His house is located 3 miles south and 4 miles east from the
store, as shown below. What is the shortest distance from his house to the store? Explain
your reasoning.
1
3 miles
HA
BE
4 miles
Answers
Answer:
im so sorry but i need to finish my challenge
Step-by-step explanation:
Someone please help me
Answers
Answer:
Hundreds is 8, tenths is 5, and thousandths is 1!
Answer:
Hundreds: 8
Tenths: 5
Thousandths: 1
Find the rate of discount for a pair of pants that cost $65 and are on sale for $42.25.
Answers
Answer:
35%
Step-by-step explanation:
42.25÷65 = .65
1-.65 = .35
can someone see and answer this
Answers
Answer:
D
Step-by-step explanation:
you can rule out answers A through C because the y values never match up to the ones on the table. D shows an increase in y by 4
Consider this quadratic equation:
6x2+9x-10=0
Comparing it to the standard form, name a, b, and c
a-
b=
C=
Answers
b = 9
c = -10
hope this helps you!
Need the answer pls!!!!!
Answers
......
Answer: the y-intercept would be -3
Your favorite shoes were on sale for 35% off. The shoes have a regular price of $160. Sales tax was 4%. What is the total price paid for the shoes including the discount and tax?
Answers
Answer:
108.16
Step-by-step explanation:
2. Are the triangles shown below similar
not? How do you know? (Explain your reasoning)
Answers
Answer:
yes the both have all the same angles
Step-by-step explanation:
180-90=90
90-35=55