To determine the limit of f(x) as x approaches -7, we need to analyze the behavior of the function as x gets closer and closer to -7.
Since f(x) is defined differently for x < 7 and x >=7, we need to look at both cases separately.
For x < 7, f(x) = -3x + 0
For x >= 7, f(x) = 5x + 1
If we substitute x = -7 into the first equation, we get f(-7) = -3(-7) + 0 = 21
If we substitute x = -7 into the second equation, we get f(-7) = 5(-7) + 1 = -36
We can see that the function is defined differently for x < 7 and x >=7, and it does not have the same value when x = -7.
Therefore, the limit of f(x) as x approaches -7 does not exist (DNE).
A graph of f(x) with two different lines for x<7 and x>=7, one with slope -3 and y-intercept 0, the other with slope 5 and y-intercept 1. The two lines do not intersect at x = -7, this illustrates the DNE limit.
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8. It takes Aldrin 30 minutes to finish reading the 10 pages of a book. How long does it take for
him to finish reading the 15 pages?
Answer:
it took him 15 more minutes it would be 45 minutes in all
Step-by-step explanation:
I hope I helped!!
Solve 2(x - 5) = 6(x - 1)
Answer:
60
Step-by-step explanation:
so first you multiply 2 times 5 =15 and the we do 15 times six which is 90 and then subtract one and keep subtracting util you get to 60
Answer:
x=-1
Step-by-step explanation:
2(x-5)=6(x-1)
2x-10=6x-6
-4x-10=-6
-4x=4
x=-1
*EXTRA PTS* find the value
work out the value of x
On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?
Answer:
Step-by-step explanation:
The distance between 2 cities is 175 miles
What is scale on graph?
A scale is a set of numbers that help to measure or quantify objects. A scale on the graph shows the way the numbers or pictures are used in data.
Given data ,
The distance between Louisville and Nashville = 1 3/4 inches
Scale of the map = 1 in : 100 miles
Now , 1 inch = 100 miles on the map
And , 1 3/4 = 7 / 4 inches
So , 7 / 4 inches = ( 7 / 4 ) x 100 miles
= 1.75 x 100 miles
= 175 miles
Hence , the distance between 2 cities is 175 miles
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The baker at weis supermarket will cut 5 indeticial loaves of bread into pices that are 1/3 . After he cuts the 5 loaves how many pices will the baker have
Answer:
15 pieces
Step-by-step explanation:
we see if we get 3 pieces from one bread then 5 will be 15
hope it helps you
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In El Salvador the temperature is 87 degrees Fahrenheit at 7AM. By noon the temperature has risen 6 degrees. What is the temperature?
Answer:
93 Because remember when they said that the Temperature degrees was any 7 right so what they mids I think was to add 6 more to that number If I'm wrong just tell me a probly a 100% got this wrong but alias I try
What is the measure of Zx?
Angles are not necessarily drawn to scale.
Answer:
the answer is 78*
Step-by-step explanation:
31 and 47 is 78...
i hope this helps
if do then thank me
i want to know if i am right
good luck
PLEASE HELPPPPPPPPP PLEASE I BEG ILL GIVE 20 POINTSSSS
Answer:
6 spaces
Step-by-step explanation:
The vertical axis is on the left, and point B is moving to the right of that. Based on the number point B is aligned with on the horizontal axis, point B is 6 spaces away from the vertical axis.
Solve for θ. Please help me!!
We're given the hypotenuse and the opposite side so that means that we're gonna be using the inverse of sine to find the angle.
[tex] {sin}^{ - 1} = \frac{opp}{hyp} = \frac{6}{12} [/tex]
[tex] = 30 \: degrees[/tex]
What is an
equation of the line that passes through the points (0, -2)
and (6, 6)?
Answer:
8/6x+2................
Answer: y=(4/3)x-2
Step-by-step explanation:
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
x1=0, x2=6
y1=-2, y2=6
(y-(-2))/(x-0)=(6-(-2))/(6-0)
(y+2)/(x)=(6+2)/6
(y+2)/(x)=8/6=4/3
Cross multiply
3(y+2)=4x
y+2=(4/3)x
y=(4/3)x-2
Where does the graph of y = -3x - 18 intersect the x-axis?
Answer:
(-6,0)
Step-by-step explanation:
Find the area of the inner and the outer circles, shown in the figure below. Use 3.14 for pi.
5(x + 8) + x + y, given that x = 3 and y = 30
Answer:88
Step-by-step explanation:
Given, x=3 & y=30
So, 5(3+8)+3+30 = 5(11)+3+30 = 88
Answer: 88
Step-by-step explanation:
5(3+8)+3+30
5 x 11 + 33
55+33
=88
Is (4, 20, 100,...)geometric
Answer:
500,2500
Step-by-step explanation:
multiply by five
Step-by-step explanation:
yes if u multiple 4x5=20 20x5=100
A large block of ice is melting and losing 5 grams of mass every minute. After 11 minutes, the ice has lost 70 grams. Assume the relationship is linear.
The linear equation of line is given by y = 6.5x - 1.5 where the slope of the equation m = 6.5 , y = amount of ice lost and x = time elapsed
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the amount of ice lost = y
Let the time elapsed be = x
A large block of ice is melting and losing 5 grams of mass every minute
So , the first point be A = A ( 1 , 5 )
After 11 minutes, the ice has lost 70 grams
So , the second point is B = B ( 11 , 70 )
Now , the slope of the line is given by the formula ,
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 70 - 5 ) / ( 11 - 1 )
Slope m = 65/10
Slope m = 6.5
Now , the equation of line is given by ,
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 5 = 6.5 ( x - 1 )
y - 5 = 6.5x - 6.5
Adding 5 on both sides of the equation , we get
y = 6.5x - 1.5
Therefore , the value of A is y = 6.5x - 1.5
Substitute the value of x = 11 minutes , we get
y = 6.5 ( 11 ) - 1.5
y = 71.5 - 1.5
y = 70 grams
Hence , The linear equation of line is given by y = 6.5x - 1.5 where the slope m = 6.5
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An online furniture store sells chairs and tables. Each day, the store can ship at most 25 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.
9514 1404 393
Answer:
t + c ≤ 25
Step-by-step explanation:
"At most 25" means "less than or equal to 25." The total number of pieces of furniture is the sum of the numbers of tables and of chairs: t + c.
The shipping constraint can be written as ...
t + c ≤ 25
Sara bought 12 feet of fabric to make curtains. She needs to cut it into 1/4 foot sections. How many sections of fabric will she have.
Answer: 48 sections
Step-by-step explanation:
Sara bought 12 feet of fabric. From that 12 feet, she needs to cut out sections that are 1/4 in length.
The number of sections she will have if she does so is:
= Total length of fabric / Length of sections
= 12 ÷ 1/4
= 12 * 4/1
= 48 sections
find the value of (3^0+4^-1)×2^2
Answer:
Solution
=(1+0.25)×4
=1.25×4
=5
since 3^0=1
....................................e..................................
Answer:
what?
Step-by-step explanation:
.........................................e...................................................
In 2010, there were 311 middle schools in Virginia. In 2016, there were 306. By what percent did the number of middle schools in Virginia decrease from 2010 to 2016?
Answer:1.6%
Step-by-step explanation: no of students in 2010=311
no of students in 2016=306
difference=311-306
=5
%decrease=5/311 x 100
Answer:
2
306 over 311 and x over 100 do the butterfly method then you have 30600 and 311x after that you divide 311 by 311 and 30600 by 311 and you have 1.6 but it says round to the nearest whole which is 2
PLEASE HELP ME WITH THIS I WILL MARK BRAINLIEST
Answer:
a=60
Step-by-step explanation:
all you do is add 90+135+75 which is 300
then subtract 300 from 360, which is 60
360-(90+135+75)=60
What is the slope of the line that passes through the points (-2,-1) and (2,-3) answer in simplest form
Answer:
Step-by-step explanation:
(-3 + 1)/(2 + 2)= -2/4= -1/2 is the slope
Please help I need it for today
Step-by-step explanation:
Disculpe pero de qué grado es usted para ayudarle un poquito más mejor
It takes Diego of an hour to complete a lap on a circular bike track. The track is mile long. What is Diego's bike speed? 8 hours per mile 1/8 mile per hour 8 miles per hour 1/8 hours per mile
PLEASE HELP, I DON'T UNDERSTAND THE WORDING
Answer:
C. 8 miles per hour
Step-by-step explanation:
It takes Diego [tex]\frac{1}{8}[/tex] of an hour to complete the lap = [tex]\frac{1}{8}[/tex] x 1 hour = [tex]\frac{1}{8}[/tex] hour
Distance of the track = 1 mile long
The speed of an object expresses the ratio of distance moved to time taken to cover the distance.
i.e speed = [tex]\frac{distance}{time taken}[/tex]
= [tex]\frac{1}{\frac{1}{8} }[/tex]
= 8
Speed = 8 mile per hour
Therefore, Diego's bike has a speed of 8 miles per hour.
what factored pair has a product of -24 and a sum of 2?
A 36 ounce box of cereal costs $3.50. Find the unit price.
$0.0972
I think.
Um this is to make it long enough to post. lol
Answer:
Approximately $0.10 per ounce
Step-by-step explanation:
Hi! :) I'm assuming this problem is asking for the price per ounce? If not, I apologize.
So, in order to determine the price of cereal per ounce we would simply divide $3.50 by 36 to find the cost per ounce.
$3.50 / 36 = approximately $0.09722222 which we can round up to $0.10.
Hope this helps!
find the equation of the straight line passing through the point (0,2) which is perpendicular to the line y = 1/4x + 5
Answer:
The slope will be y= -1/4x+2
Step-by-step explanation:
Hope this Helped
What figures are similar for brainliest
Answer:
option D is correct answer of this question ,all is similar
Answer:
d
Step-by-step explanation:
Having trouble solving this:
Answer:
It's the third option.
Step-by-step explanation:
Because if [tex]\frac{7}{10}[/tex] was converted into a decimal it would be 0.7 plus 666, it would be 666.7
Answer:
it's the 3rd one