The largest interval in which the function is continuous is given by:
(-∞, -3).
What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
A function is also not continuous for the values of x which are outside the domain of the function, hence a fraction is not continuous at the zeroes of the denominator.
In this problem, the zeroes of the denominator of the function are:
x = -3, x = 4.
Hence the continuity intervals are:
(-∞, -3).(3,4).(4,∞).The largest one is the first, as |-3| < |4|, meaning that it is a larger distance from infinity.
More can be learned about the continuity of a function at https://brainly.com/question/24637240
#SPJ1
Ian drove home from college traveling an average speed of 61.5 mph and drove back to the college the following week at an average speed of 65.2 mph. If the total round trip took 11 hours, how much time did it take Ian to drive from home back to college? Express the time in hours and minutes. Round to the nearest minute.
(Blank) hours (Blank) minutes
Show your work!
Explain your answer!
Do not spam answers!
Thanks!
Time taken in hours from home to college is; 5 hours 20 minutes
How to calculate time from speed?We are given;
Going home DATA:
Speed rate = 61.5 mph
Distance = x miles
Time taken = distance/speed = x/61.5 hrs
Going to college DATA:
Speed rate = 65.2 mph
Distance = x miles
Time taken = x/65.2 hrs
Thus, the equation set up is:
x/61.5 + x/65.2 = 11
Multiply through by (61.5 * 65.2) to get;
65.2x + 61.5x = 11 * (61.5 * 65.2)
126.7x = 44107.8
x = 44107.8/126.7
x = 348.1279 miles
Thus;
Time in hours from home to college = 348.1279/65.2
Time in hours from home to college = 5.34 hours = 5 hours 20 minutes
Read more about Time from speed at; https://brainly.com/question/4931057
#SPJ1
Carry out these operations as if they were calculations of experimental results, and express each answer in the correct units and with the correct number of significant figures:
(2 × 103 g + 6.317 g) / (0.063 cm3 − 0.029 cm3) = g/cm3
Answer:
2
Step-by-step explanation:
B3jrnr2j3uiedbwbwbbw3kejr
What is the radius of a circle with a circumference of 64 feet?
10.19 feet is the radius of a circle with a circumference of 64 feet.
A line that is bent such that its ends meet and all of its points are equally spaced from the middle. We gathered in a circle around the hearth. Something shaped like or like a circle.
Dimensional terms include circumference, diameter, radius, chord, segment, tangent, point of contact, arc, angles on major and minor arcs, angle of center, and sectors. A circle's circumference is the distance that surrounds it.
A curving line makes up the shape of a circle. It is spherical, and every point along the curved line is equally spaced from the center. Due to its two-dimensional nature, this shape is flat.
Learn more about circle here
https://brainly.com/question/24375372
#SPJ9
HELP ASAP!!!
Identify the zeros of the function f(x) = x² – 3x.
A.0, -3
B.0,3
C.3,3
D.-3, -3
Answer:
B. 0,3
Step-by-step explanation:
[tex]\texttt{Identify the zeros of the function}:f(x)=x^2-3x[/tex]
The roots are the x values in which where the graph intersects the x-axis. In order to solve, we will need to find the roots by replacing y with 0. In the end, we will solve for x.
= 0,3
Find the slope of the line that passes through (10,8) and (-5,8). Enter the slope as a whole number, a fraction (a/b), or undefined.
Answer:
y=8
Step-by-step explanation:
this week Jada bought a 3 1/2 pound of cat food. her cat eats 5/8 of a pound each day. show your work and remember to include units. check your work with multiplication
Answer:
5 days.
Step-by-step explanation:
The food will last her 5 days.
[tex]3\frac{1}{2}-\frac{5}{8}-\frac{5}{8}-\frac{5}{8}-\frac{5}{8}-\frac{5}{8}[/tex]
[tex]=1\frac{5}{8}-\frac{5}{8}-\frac{5}{8}[/tex]
[tex]=1-\frac{5}{8}[/tex][tex]=\frac{3}{8}[/tex]
I need help answering this
Answer:
the Answer is c yo I know it bro
Answer: C
Step-by-step explanation:
x^2 + 6x + 8 = (x + 2 )(x + 4 )
Alguien me podria ayudar a resolver o explicar como cintestar ests problemas, fue el primer dia de uni y no lo explico bien el maestro porque segun es nuevo.
Could someone help me solve these problems or explain me how to solve them, it was the first day of university and the teacher didn't explain quiet well because supposedly he is new
Las soluciones para los dos primeros ejercicios son:
10² + 6³ - [4*(5 - 2)]² = 172-3² + (-2)⁴ + - 4³ + (-2)⁴ = -41¿Como resolver operaciones combinadas?Vamos a ver la primer operacion, está es:
10² + 6³ - [4*(5 - 2)]²
Primero se resuelve lo que esta adentro del parentesis, en este caso:
5 - 2 = 3
Reemplazamos eso:
10² + 6³ - [4*(3)]²
Luego se resuelve lo que está dentro de los corchets:
4*3 = 12
Reempazamos eso para obtener:
10² + 6³ - [12]²
Ahora podemos resolver los exponentes, recordar que el exponente nos dice cuantas veces debemos multiplicar un número por si mismo, entonces:
10² = 10*10 = 100
6³ = 6*6*6 = 216
[12]² = 12*12 = 144
Reemplazando eso obtenemos:
100 + 216 - 144 = 316 - 144 = 172
Veamos tambien el siguiente problema:
-3² + (-2)⁴ + - 4³ + (-2)⁴
Apliquemos los exponentes, primero tenemos:
-3²
Notar que el exponente se le aplica solamente al 3, no al signo, entonces:
-3² = -(3)² = -3*3 = -9
En cambio, en:
(-2)⁴
El exponente si se le aplica al signo, entonces:
(-2)⁴ = (-2)*(-2)*(-2)*(-2) = 4*4 = 16
Los otros dos terminos dan:
- 4³ = -4*4*4 = -64
(-2)⁴ = 16
Reemplazando eso en la expresión:
-3² + (-2)⁴ + - 4³ + (-2)⁴ = -9 + 16 - 64 + 16 = -41
Sí quieres aprender más sobre expresiones algebraicas:
https://brainly.com/question/4344214
#SPJ1
392,153 rounded to the nearest hundred thousand
Answer:
Step-by-step explanation:
400,000
Pls answer porperlly
Answer: I hope this helps.
Step-by-step explanation:
Alex, Bob and Carl go for a walk every day. If Alex doesn't wear a hat, then Bob wears
a hat. If Bob doesn't wear a hat, then Carl wears a hat. Today Bob is not wearing a hat.
Who is wearing a hat?
Answer:
Carl and Alex are wearing hats.
Step-by-step explanation:
If Bob doesn't isn't wearing a hat, then Carl is, so Carl clearly is wearing a hat.
Now let's look at Alex. If he wasn't wearing a hat, then Bob would be wearing one. (If Alex doesn't wear a hat, then Bob wears
a hat). The logical conclusion is that Alex must be wearing a hat as well.
You want to buy a $193,000 home. You plan to pay 5% as a down payment, and take out a 30 year loan for the rest.
Answer:
Down Payment = 5% of 168,000. You finance 95% of 168,000 which is the PV of your payments.
Use the same annuity formula as in your student loan question with monthly rate = 7%/12 and t=12*30 =360 months. That will give you your payment amount.
you will make 360 payments so total Payments = 360*pmt. Total Payments less principal = total interest paid.
List 5 questions you would ask if your conducting a parent teacher conference ik its not math but i need help i will mark brainlest
A production assistant must divide a page of text into two columns. If the page is 6 3/4 inches wide, how wide will each column be
The width of each column is 3.375.
According to the statement
We have to find that the width of the each column.
So, For this purpose, we know that the
Width is the the horizontal measurement taken at right angles to the length.
In other words, It is the distance from one side to the other side which measures across a particular shape or object whose lengths are forming right angles with the sides as in the case of a rectangle.
From the given information:
A production assistant must divide a page of text into two columns. If the page is 6 3/4 inches wide.
Then
width of the page = 27/4 inches
And the number column is divided into page = 2
Then
The width of column = width of the page/ column in a page
The width of column = 27/4/ 2
The width of column = 6.75/ 2
The width of column = 3.375.
So, The width of each column is 3.375.
Learn more about Width here
https://brainly.com/question/19819849
#SPJ9
ALGEBRA 1 HW!! PLEASE HELP I WILL GIVE BRAINLYEST and also explain what explicit rule is..
pls answer I report if wrong
==========================================================
Explanation:
Point L is at the location (-4, 2)
Translate 3 units to the left to arrive at (-7,2)
Then translate 4 units up to get (-7,6) which leads to choice A
---------------
The rule of "translate 3 units left, 4 units up" can be condensed into the notation of [tex](\text{x},\text{y})\to(\text{x}-3,\text{y}+4)[/tex]
Let's apply this rule to point M(1,2)
[tex](\text{x},\text{y})\to(\text{x}-3,\text{y}+4)\\\\(1,2)\to(1-3,2+4)\\\\(1,2)\to(-2,6)\\\\[/tex]
This further confirms what choice A is saying since it mentions M'(-2,6)
I'll let you check the other points in choice A.
seven and three eighths times negative one and two thirds.
Answer: -12 7/24
Step-by-step explanation:
Convert the mixed numbers to fractions (59/8 and -5/3) then multiply across to get -295/24. Simplify for -12 7/24.
Hope this helps :)
Answer: decimal -12.29 fraction -295/24
Step-by-step explanation:
Is this statement true ?
The price of tuition has quadrupled since my parents went to school that's a 300% increase in price.
Answer:
no
Step-by-step explanation:
quadruple means by 4, so it would be 400%
. The sides of a rectangle are (x+1) and (2x +5). If the perimeter is 36m, Find the value of x
please help for brainiest asap!!!
The first mistake in solving the given algebraic expression is; Line 3
How to solve Algebraic Expressions?We are given the algebraic expression as;
6(2y + 6) = 4(9 + 3y)
The first step would be to use distributive property of algebra to expand the bracket to get;
12y + 36 = 36 + 12y
The next step will be to use subtraction property of equality to subtract 36 from both sides to get;
12y = 12y
Now, since the coefficients of the variable is the same on both sides, then it means the equation has no solution and as such the conclusion is that the first mistake is in line 3.
Read more about Algebraic Expressions at; https://brainly.com/question/4344214
#SPJ1
Find two positive numbers whose difference is 7 and whose product is 800.
Answer:
25 and 32
Step-by-step explanation:
32 - 25 = 7
32 x 25 = 800
HELP ME OUT PLEASE!!
What does the y-intercept of the graph represent?
O It was 8°F when recording began
O There is a change of 4°F every hour
O There is a change of 2 °F eve every hour
O Maximum temperature is 20°F
Answer:
see explanation
Step-by-step explanation:
the y- intercept 8 occurs when time = 0
that is it was 8° F when recording began at time = 0
How many board feet of wood are there in 750-2 x 10-16'?
Answer:
Step-by-step explanation:
Newton’s law of cooling describes the rate at which an exposed body changes temperature through radiation which is approximately proportional to the difference between the object’s temperature and its surroundings, provided the difference is small.
Definition: According to Newton’s law of cooling, the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundings.
Answer:
Radioactivity is the phenomenon of the spontaneous disintegration of unstable atomic nuclei to atomic nuclei to form more energetically stable atomic nuclei. Radioactive decay is a highly exoergic, statistically random, first-order process that occurs with a small amount of mass being converted to energy. Since it is a first-order process, each radioactive species is characterized by its own half-life, the length of time in which an initially very large number of such nuclei will have decayed to only half the original number.
Step-by-step explanation:
Calculate (6.25×109) - (3.44 × 108)
Answer: 309.73
Step-by-step explanation:
How can you round 493 and 917 to the underlined number
The rounding off a number of 493 is 490 and The rounding off a number of 917 is 920.
Rounding off number:
1)Round the number up if 5, 6, 7, 8, or 9 follow the number you are rounding.
2)Round the number down if the rounded number is followed by a 0, 1, 2, 3, or 4.
The given numbers are 493 and 917
The rounding-off number of 493 is
⇒493, The last number is 3, need to decrease and round off⇒490
The rounding-off number of 917 is
⇒917, The last numberis 7, need to increase and round off⇒920
Therefore, The rounding off a number of 493 is 490 and The rounding off a number of 917 is 920.
Learn more about numbers here:
https://brainly.com/question/17429689
#SPJ9
76,161,555 rounded to the nearest ten million
Answer:
80,000,000
Step-by-step explanation:
76,161,555 is higher then 75,000,000 so it must round up.
Answer: 80,000,000
Step-by-step explanation:
since it's the ten million place you look at place value behind which is the millions place you see if the number is above or below 5. For this instance, since 6 is larger or above 5 you would round up. So, instead of 76,161,555 it would be 80,000,000
x 10 = 23
6+x=-11
x-5 = -5
Answer: Algebra. Equation Solver. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result!
Step-by-step explanation:
what is one less than the product of seven and the difference of a number and 2 is 4 times the number?
Answer: 7x -4
Step-by-step explanation:
Please help show work pamdas
The solution by substitution of values to 4 ) is ( - 8 ) / 14 and 6 ) is - 213 .
4 ) Using substituition
By replacing values of c and d in given equation
( 5 [tex]c^{2}[/tex] - [tex]d^{2}[/tex] + 3 ) / ( 2 c - 4 d )
c = - 1 and d = - 4
( 5 [tex]( - 1 )^{2}[/tex] - [tex]( - 4 )^{2}[/tex] + 3 ) / ( 2 ( - 1 ) - 4 ( - 4 ) )
= ( 5 - 16 + 3 ) / ( - 2 + 16 )
= ( - 8 ) / 14
6 ) Using substituition
By replacing values of x and y in given equation
3 [tex]| x + y |^{2}[/tex] - [tex]( x y )^{2}[/tex]
x = 3 and y = - 5
3 [tex]| 3 + ( - 5 ) |^{2}[/tex] - [tex]( 3 * ( - 5 ) )^{2}[/tex]
( 3 * 4 ) - 225
= - 213
To learn more on finding value of function at points follow link :
https://brainly.com/question/875118
#SPJ9
What does 1/4+2/3 equal
Answer:
[tex]\frac{11}{12}[/tex]
Step-by-step explanation:
[tex]Rule: \frac{x}{y} \pm \frac{a}{b} = \frac{x \pm y}{z}\\\frac{1}{4}+\frac{2}{3} = \frac{3}{12}+\frac{8}{12} (LCM)\\=\frac{3+8}{12}\\=\frac{11}{12}\\[/tex]