Answer:
D.
(DNE)
Step-by-step explanation:
when you plug in 1 to the denominator, 1 minus 1 becomes 0. a fraction with 0 as the denominator does not exist.
The limit of the function f(x)=[tex]x^{3}-1[/tex]/x-1 as x approaches 1 is 3.
What is limit?Limit is the value that a function approaches as the value of variable approaches some value. They are essential to calculas and mathematical analysis and are use to define continuity , derivatives and integrals. It can change value of function at different values of x.
How to find limit?We have been given a function f(x)=[tex]x^{3}-1[/tex]/x-1 and we have to find the limit of function.
F(x)=[tex]x^{3} -1[/tex] /(x-1) [[tex]x^{3} -y^{3} =x^{2} +y^{2} +xy[/tex]]
[tex]\lim_{x \to \0}x^{3}-1/x-1[/tex]
[tex]\lim_{x \to \0} (x-1)(x^{2} +1+x)[/tex]/x-1
[tex]\lim_{x \to \0} x^{2} +x+1[/tex]
change limit by putting x=1-h
[tex]\lim_{h \to \0} (1-h)^{2} +1+1-h[/tex]
Put the value of h=0.
=1+1+1
=3
Hence the limit of the function [tex]x^{3}-1/x-1[/tex] is 3.
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David is planning to attend a public university after he graduates from high school in 3 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $53,600. His family has promised to contribute $32,000 each year he is in school. What is the minimum amount of money David must contribute to his savings per month for the next 3 years to have enough money to pay for his first year of tuition?
a
$450
b
$600
c
$575
d
$725
Answer:
b. 600
Step-by-step explanation:
subtract money from parents from tuition
divide by months
Carlos bought 6.5 pounds of bananas for $5.20.
● What is the price per pound of the bananas that Carlos bought?
What quantity of bananas would one dollar buy?
plz help me understand this question thankyou
Answer:
The mistakes were on points C and D
Step-by-step explanation:
Point C was graphed on (5,8) when it's supposed to be plotted on (5,7). Point D was on (-3,-4) but was supposed to be on (-4,-3?
Answer:
The mistakes are Point C and D
Find the area of a square with a length of 3.5 centimeter
Answer:
12.25 cm²
Step-by-step explanation:
(3.5 cm)² = 12.25 cm²
Which of the scatter plots below shows the most accurate line of best fit?
W.
X.
Y.
Z.
A.
X
B.
Y
C.
Z
D.
W
The answer should be the first image.
Can help me with this?
Answer:I’m sorry this is hard I don’t think I have the right answer chose C
Step-by-step explanation:
Which of the expressions below are equivalent? 8x - 4 4x 4(2x - 1)
What is the solution to the system of linear equations represented by the matrix equations below. Please help!!!!!
The system of equations has infinite solutions.
Option D is correct.
What is matrix multiplication?Matrix multiplication is a binary operation whose output is also a matrix when two matrices are multiplied.
To multiply one matrix with another, we need to check first, if the number of columns of the first matrix is equal to the number of rows of the second matrix. Now multiply each element of the column of the first matrix with each element of rows of the second matrix and add them all.
Given
Matrix equations
[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}6\\3\end{array}\right][/tex]
L.H.S:
Using Matrix multiplication
[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right][/tex]
R.H.S:
[tex]\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right]=\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]
Writing equation from above matrix
2x + 4y = 6
x + 2y = 3
or
2x + 4y = 6
2x + 4y = 6
Because there are two unknown number, but the two equations are consistent.
So, the system of equations has infinite solutions.
Option D is correct.
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Please help ASAP
1.
Three times a number equals 40 more than five times the number what is the number
2.
A number equals four less than three times the number what is the number?
Answer:
Step-by-step explanation:
Determine the center and radius of the following circle equation:
x2 + y2 – 10x + 8y + 40 = 0
Answer:
The center of this circle is (5, -4) and the radius is 1.
Step-by-step explanation:
First regroup these terms according to x and y :
x^2 - 10x + y^2 + 8y = -40
Next, complete the square for x^2 - 10x: x^2 - 10x + 5^2 - 5^2.
and the same for y^2 + 8y: y^2 + 8y + 16 - 16
Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:
x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.
Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:
Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:
(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:
(x - 5)^2 + (y + 4)^2 = 1
This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Matching like terms, we get h = 5, k = -4 and r = 1.
The center of this circle is (5, -4) and the radius is 1.
Answer:
Center (5,-4) Radius = 1
Step-by-step explanation:
Put it in the form of the standard circle equation after dividing everything by 2. (-10x/2=-5x) (8y/2=4y) Since the radius wasn't given, it's just going to be a 1.
(x-5)^2+y(-(-4))^2 = 1^2
Hence, center (5, -4) and radius 1.
Please help ASAP thank you!
Answer:
y < 3
Step-by-step explanation:
If you put the equation on a graphing calculator it shows that.
Please give me BRAINLIEST and THANKS <(￣︶￣)>
help please!!!! thank you in advance. asap too
determine equation (help please )
Answer: C
Step-by-step explanation:
Oscar rides his skateboard 58
5
8
mile in 14
1
4
hour. How fast, in miles per hour, does he ride his skateboard?
Answer:
speed = distance ÷ time
58 ÷ 14
speed = 4.142
help me please!!!! asap Tia
Answer:
All of them should be marked sicne they are all less than 12.
Step-by-step explanation:
Answer:
m = 6, m = 1, m = 5, m = 7
Step-by-step explanation:
All the options are solutions of m < 12.
What is the numerator called in a percent problem? What is the denominator called in a percent problem ?
PLEASE I NEED HELP NOW!!!
Answer:
A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. By definition, for any number x, x% = x100.
Step-by-step explanation:
what is the value of A
I think the answer is a = 4.5
81 ÷ 6 ÷ 3 = 4.5
I hope this helps, have a wonderful day!
i guess it might be right or wrong.the answer will be x value is 20.
What is the missing length?
8
Х
17
ОА. 15
ОВ. 30
o o o
С. 8
0 D. 7
Answer:
[tex]A)15[/tex]
Step-by-step explanation:
[tex](17)^{2} =8^{2}+x[/tex]
[tex]x^2=17^2-8[/tex]
[tex]x^2=225[/tex]
[tex]x=15[/tex]
-----------------------
hope it helps...
have a great day!!
HELP ASAPPPP, FIRST PERSON TO HAVE THE CORRECT ANSWER WILL HAVE BRAINLIEST
What is the distance between points (8,3) and (3, 1) on the coordinate plane?
OA. 3 units
OB. 21 units
OC.29 units
OD. 7 units
Answer:
√29
Step-by-step explanation:
You would use the distance formula in this case to solve the problem:
(8-3)^2+(1-3)^2=29
Now square root 29, leaving you with √29.
Answer:
5.39
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(3 - 8)² + (1 - 3)²
√(-5)² + (-2)²
√25 + 4
√29
= 5.39
Martin is driving to his uncle’s farm, which is 240 mi. from home. If he drives at a constant rate of 60 mph, how long will it take Martin to get to the farm? A. 2 hr. B. 4 hr. C. 5 hr. D. 6 hr.
Answer:
4 hours
Step-by-step explanation:
240 divided by 40
Answer:
4 hours
240 divided by 60
Step-by-step explanation:
Hope it helps
Find the axis of symmetry and the vertex of the graph of f (x) = x^2 - 16 + 55
Hi there!
»»————- ★ ————-««
I believe your answer is:
Vertex: (0, 39)
Axis of Symmetry: x = 0
»»————- ★ ————-««
Here’s why:
I have graphed the equation on a program. When graphed, the the lowest point lies on the point (0, 39). This makes (0, 39) the vertex.⸻⸻⸻⸻
The axis of symmetry is a vertical line that intercepts the vertex. The vertical line makes the parabola seem 'symmetrical'. The 'x' value of the vertex is usually the line of symmetry as well.⸻⸻⸻⸻
The 'x' value of the vertex is '0', so the axis of symmetry is [tex]x = 0[/tex].
⸻⸻⸻⸻
See the graph that I have attached.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
For equation:
[tex]f(x)=x^2-16x+55[/tex]
Vertex: [tex](8,-9)[/tex]
Axis of symmetry, ([tex]x=8[/tex])
For equation,
[tex]f(x)=x^2-16+55[/tex]
Vertex:[tex](0,39)[/tex]
Axis of symmetry, ([tex]x=0[/tex])
Step-by-step explanation:
The x-coordinate of the vertex of a parabola indicates the line of symmetry of the parabola. Thus, to solve this problem, one must find the vertex of the parabola. This can be done through a process called completing the square.
Completing the square is a process that converts a quadratic equation in standard form into vertex form. The first step is to group the linear and quadratic terms. Then factor out the coefficient of the quadratic term. After doing so, add a term to make the group a perfect square trinomial, then balance the equation.
Possibility 1
If the given equation is the following,
[tex]f(x)=x^2-16x+55[/tex]
Group,
[tex]=(x^2-16x)+55[/tex]
There is no quadratic term, thus, complete the square,
[tex]=(x^2-16x+64)+55-64[/tex]
Simplify,
[tex]=(x-8)^2-9[/tex]
Vertex: [tex](8,-9)[/tex]
Axis of symmetry, ([tex]x=8[/tex])
Possibility 2
If the given equation is the following,
[tex]f(x)=x^2-16+55[/tex]
Combine like terms,
[tex]=x^2+39[/tex]
Put in vertex form,
[tex]=(x)^2+39[/tex]
Vertex:[tex](0,39)[/tex]
Axis of symmetry, ([tex]x=0[/tex])
Math Tutor Pay: $11.44 per hour
they work 13 hours
how much do they get paid in a-
per week
per month
per year
Answer:
Per week: $1041.04Per month: $4610.32Per year: 55323.84Answer:
1041$/1W(M-Sun)
892$/1W(M-SAT)
744$/1W(M-Fri)
Step-by-step explanation:
Go to sleep stoo naughty
NO LINKS the picture below shows six quarters and two pennies. If this was broken
down into two separate groups, what would be the equivalent ratio to six-
seconds?
Answer:
B i took the quiz
Step-by-step explanation:
Just trust me bro
Here is a equation find x. (Please help this is due in 30 minutes!!)
-3x+7=1
Answer:
the answer is 2
-3x+7=1 x=2
What is the value of v if 11 +v= 44 ?
Answer:
Hi! answer: v = 33
Step-by-step explanation:
44 - 11 = 33 11 + 33 = 44 so v = 33
10.
Complete.
y^2 + 15y + 56 = (y + 7)(y + )
A. 8
B. –7
C. –8
D. 7
Answer:
I would go with letter B. -7
Step-by-step explanation:
The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:
y² + 15y + 56 = (y + 7)(y + a)
y² + 15y + 56 = y² + (7 + a)y + 7a
...............................................................................................................................................
Step by Step Solution
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
Step by step solution :
STEP 1 :
Trying to factor by splitting the middle term
1.1 Factoring y2+14y+49
The first term is, y2 its coefficient is 1 .
The middle term is, +14y its coefficient is 14 .
The last term, "the constant", is +49
Step-1 : Multiply the coefficient of the first term by the constant 1 • 49 = 49
Step-2 : Find two factors of 49 whose sum equals the coefficient of the middle term, which is 14 .
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 7 and 7
y2 + 7y + 7y + 49
Step-4 : Add up the first 2 terms, pulling out like factors :
y • (y+7)
Add up the last 2 terms, pulling out common factors :
7 • (y+7)
Step-5 : Add up the four terms of step 4 :
(y+7) • (y+7)
The solution is:
y = -7
The solution is:
y = -14 / 2 = -7
What can the answer be?
Answer:
35
Step-by-step explanation:
Trust me. The two triangles are equivalent, so 90+55=145
180-145=35
There are eight boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different student
to answer another question. The first
student is a boy and the second student is a
girl.
Answer:
Independent events - Random selection of one
student - Selection of one boy to answer first question
Dependent Event - Selection of a girl student
Probability = 13.33 %
Step-by-step explanation:
The complete question is
Determine whether the scenario involves independent or dependent events. Then find the probability
There are eight boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different student
to answer another question. The first
student is a boy and the second student is a
girl.
Solution
Independent events - Random selection of one
student - Selection of one boy to answer first question
Dependent Event - Selection of a girl student
Probability
8C1 + 8C1/16C2
(8+8) /(8*15)
13.33 %
A soda company spends $1200 per day on business expenses plus $1.10 per bottle.
They charge $2.50 for each bottle of soda they produce. How many bottles of soda
must the company sell in one day in order to equal its daily costs?
Answer: Hi
Step-by-step explanation:
Cost Price per bottle : $1.10
Selling price per bottle : $2.50
2.50 - 1.10 = 1.40
$1200=1.40B
B=858
The company must sell 858 Soda´s in order to equal it daily cost.
Hope this help. Be safe
What is the slope of the line?
Answer:
7/4
Step-by-step explanation:
the slope rises 7 units then goes to the right of 4 units