[tex]\frac{7\sqrt{23}}{8}\approx 4.196352583[/tex]
Determine whether or not the function is continuous for the given values of X.
f(x) = x^2-25/x-7 :x=0, x=7,x= -5
Is the function continuous at x=0?
a. Yes, the point is defined, limit f(x) exists, and limit f(x) 0. (Simplify your answer.)
x →c x →0
b. No, the function is not continuous at x=0 .
Answer:
A. Yes, the point is defined, limit f(x) exists, and limit f(x) 0.
Step-by-step explanation:
Let be [tex]f(x) = \frac{x^{2}-25}{x-7}[/tex], a rational function is continuous at a value of [tex]x[/tex] if and only if denominator is different from zero. In particullar, [tex]x-7 \neq 0[/tex].
Then, we find that function is continuous for every value of [tex]x[/tex] except [tex]x = 7[/tex]. Thus, the function is continuous at [tex]x = 0[/tex], which is evaluated below:
[tex]f(x) = \frac{(x+5)\cdot (x-5)}{x-7}[/tex]
[tex]f(0) = \frac{(0+5)\cdot (0-5)}{0-7}[/tex]
[tex]f(0) = \frac{(5)\cdot (-5)}{-7}[/tex]
[tex]f(0) = \frac{-25}{-7}[/tex]
[tex]f(0) = \frac{25}{7}[/tex]
Thus, correct answer is A.
What percent of 150 is 12?
Answer:
8%
Step-by-step explanation:
What is 3.56×10 to the power of -5 in standard form
In how many ways can 18 hikers be organized into 2 or more groups for trail clearing if all groups have the same number of hikers?
Answer:
4 ways
Step-by-step explanation:
9+9=18
6+6+6=18
3+3+3+3+3+3=18
2+2+2+2+2+2+2+2+2=18
Which Box-and-Whisker Plot below correctly illustrates the data shown below? {30, 22, 22, 27, 28, 23, 24, 25, 26, 23} A. B. C. D.
The box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).
What is a Box-and-Whisker Plot?A box-and-whisker plot consists of the following values of a data set: min, max, lower quartile, median, and upper quartile..
Given the data set, 30, 22, 22, 27, 28, 23, 24, 25, 26, 23, the five-number summary for the box-and-whisker plot would be:
Minimum: 22 Quartile Q1: 22.75 Median: 24.5 Quartile Q3: 27.25 Maximum: 30Therefore, the box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).
Learn more about box-and-whisker plot on:
https://brainly.com/question/12343132
Answer:
the answer is d look at this picture for proofs
(i need help...plsssss) (50 Points)
A scatter plot shows the relationship between the average daily temperature and the number of beach visitors to a water park. Which statement would be the most reasonable description of data depicted in the graph?
1.) The number of visitors to the water park decreases as the temperature increases.
2.) The number of visitors to the water park increases as the temperature increases.
3.) The number of visitors to the water park increases as the temperature decreases.
4.)There is no correlation
You are missing graph.. Since you are missing graph if this graph below is the graph. Here your answer.
Answer:
As the daily temperature increases, the number of beach visitors increases.
Step-by-step explanation:
Base on the graph.. You can see that the dot getting higher and higher. That increase.. As well as you can see that it label temperature and beach visitors.
~Learn with Lenvy~
ASAP !!! I need help on the last question
Answer:
Add all the numbers and then divide it by the numbers present the answer will be 77.8 after that you round it to a whole number to get 78
Calculate the quantity 87.3cm-1.655cm
3. A shoe store marks up its merchandise by 8%. What was the selling price of a pair of shoes whose
wholesale price is $24.50?
(Show The Work)
Answer:
The selling price of the shoes is $26.46.
Step-by-step explanation:
Given the following question:
8% of 24.50
To find the answer we will use the formula to calculate percentages, we multiply the percentage by the cost, then we divide that answer by 100. Finally, we add that answer to the original costs of the shoes to have our answer.
[tex]\frac{p~x~n}{100}[/tex]
[tex]\frac{8~x~24.50}{100}[/tex]
8 × 24.50 = 196
196 ÷ 100 = 1.96
8 of 24.50 is 1.96
Now Add
[tex]24.50+1.96=24.46[/tex]
The selling price of the shoes are $26.46.
~Hope this helps
~If you have any questions please ask.
Maya is comparing the prices of 3 brands of canned vegetables.
Brand A is a 16-ounce can and costs $0.89. Brand B is a 32-ounce
can and costs $1.75. Brand C is sold as three 16-ounce cans and
costs $2.65. Which brand is the cheapest per ounce?
A. Brand A
C. Brand C
B. Brand B
D. You need more information.
Brand C is the cheapest per ounce among Brand A and Brand B. So option B is the correct answer
Brand A is a 16-ounce can and costs $0.89
Brand B is a 32-ounce can and costs $1.75.
Brand C is sold as three 16-ounce cans and costs $2.65.
What is an equation?If two expressions are connected with equal sign is called equation.
16a=0.89
32b=1.75
3(16c)=2.65
a=0.055
b=0.0546
c=0.0552
Therefore brand B is the cheapest per ounce
To learn more on equation click here:https://brainly.com/question/8743486
#SPJ2
What fraction of the Y10 students are girls? Give your answer in its simplest form.
Answer:
117/234 Whch is Y10 Girls/ All Y10 Students.
any one to be my best friend for help
[tex]965 \times 2855 \div 5526526 - 55515 + 5652 \times 5263[/tex]
do this bro
Answer:
-29801986.014846
Step-by-step explanation:
this is answer
9/20 + 2 9/10 or nine twentieths plus two and nine tenths
So, first we have to put in an equation
9/20+ 2 9/10
multiply 9/10 by 2
So you get 9/20+ 2 18/20
Add the fractions together and you'll get 26/20
since their isn't a whole number a whole number it's just 2 and 26/20 reduce it to
2 and 9/5
I hope this is right. This is how I was taught.
1 chicken nugget plus 98 chicken nugget is how many?
Answer:
99 chicken nugget is the answer. Hope this helped. :)
Step-by-step explanation:
Answer:
99 chickie nuggets
Step-by-step explanation:
solve for m
2/5 = m/70 =
show work and order of operations
Answer:
m = 28
Step-by-step explanation:
70 × 2 = 5m
140 = 5m
28 = m
The temperature at Frozen Lake, Colorado, dropped to or last night. Select all values that represent the opposite of this temperature.
А. 7
B. -7
C. (-7)
D. -(7)
E. -(-7)
Answer:
i have the same question
Step-by-step explanation:
it is positive 7
I've got a question I think I've got right. Want to be sure tho
Explanation:
Theoretically, we expect "6" to show up once every 6 rolls assuming we have a fair die. So about 1/6 = 0.17 = 17% of the time.
The table on the other hand shows "6" showing up 14 times out of 100 to get an experimental probability of 14/100 = 0.14 = 14% which is 3 percentage points less than the theoretical estimate.
Answer:
Yes, you've got it correct.
Step-by-step explanation:
1. Graph the system of inequalities
2x+3y 32
x+2y<2
Please help?
Answer:
2x+3y . 32 = 2x + 96y
x+2y<2 = 2x +96y
Step-by-step explanation:
What is the volume of Josephine's gardening shed, in cubic feet?
Answer:
23 ft³
Step-by-step explanation:
Hope it helps.
[tex] \\ \\ [/tex]
pls help me with this question
Answer:
55.2° ...............................
If the time is 19:28 and you add 10 hours 42 minutes. What time is it?
Answer:
The answer is 7:10 clock
Need help with math probelm if do 5 stars and brainly points
Answer:
15 cm squared
Step-by-step explanation:
First we solve the area for the first triangle:
h(b)/2 = area
3(5)/2 = 7.5
Now since there are 2 triangles, we multiply it by 2 to get the area of both put together :)
7.5 x 2
15
Have a great day!!
Please rate and mark brainliest!!
Answer:
15 cm²
Step-by-step explanation:
The formula for the area of a parallelogram is ...
A = bh
Using the given dimensions, we find the area to be ...
A = (5 cm)(3 cm) = 15 cm²
1 3/2 ÷ 5/2 equals what exactly
The graph f(x)=x^2 was transformed to create the graph g(x)=−(3x)^2.
Which statement describes this transformation?
a reflection over the x-axis and a horizontal compression
a reflection over the y-axis and a horizontal compression
a reflection over the y-axis and a vertical compression
a reflection over the x-axis and a vertical compression
Answer:
the first one.
Step-by-step explanation:
the "-" sign simply turns everything upside-down. what was originally above the x-axis is now below it, and what was below the x-axis is now above it. hence : a reflection over the x-axis.
and 3x compared to x simply makes us race "faster" along the x-axis. we get now at x the functional value we would have gotten at 3x with the original function. so, the function graph appears compressed in the left-right (horizontal) direction compared to the original graph.
your favorite cookie use 2 1/2 cups of flour per batch you use 7 cups how many batches did you make
Number of cups used for making one batch of cookie :-
[tex] = 2 \frac{1}{2} \: cups[/tex]
Number of cups of flour I use = 7
number of batches of cookie I make :-
[tex] = 7 \div 2\frac{1}{2}[/tex]
[tex] = \frac{7}{1} \div \frac{(2 \times 2 + 1)}{2} [/tex]
[tex] = \frac{7}{1} \div \frac{5}{2} [/tex]
[tex] = \frac{7}{1} \times \frac{2}{5} [/tex]
[tex] = \frac{14}{5} [/tex]
[tex] = 2\frac{4}{5} \: batches[/tex]
Therefore , I have made :-
[tex]2 \frac{4}{5} \: batches \: of \: cookies[/tex]
Working together, it takes two different sized hoses 35 minutes to fill a small swimming pool. If it takes 55 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on it's own?
Answer:
[tex]96.25[/tex] minutes.
Step-by-step explanation:
The question states that it takes the larger hose [tex]55[/tex] minutes to fill the entire pool on its own. Assume that the larger hose fills the pool at a constant rate. What fraction of the pool would this hose fill in each minute?
The larger hose fills [tex]\displaystyle \frac{1}{55}[/tex] of the pool in each minute. That is: [tex]\displaystyle \frac{1\; \text{pool}}{55\; \rm \text{minutes}} = \frac{1}{55}\; \text{pool} \cdot \text{minute}^{-1}[/tex].
Similarly, assume that the smaller hose is also filling the pool at a constant rate. The question states that it takes [tex]35[/tex] minutes for the two hoses to fill the pool when working together. Therefore, when working together, the two hoses would fill [tex]\displaystyle \frac{1}{35}[/tex] of the pool in each minute. That is: [tex]\displaystyle \frac{1\; \text{pool}}{35\; \rm \text{minutes}} = \frac{1}{35}\; \text{pool} \cdot \text{minute}^{-1}[/tex]
The difference between these two fractions should represent the fraction of the pool that the smaller hose fills in each minute:
The smaller hose fills [tex]\displaystyle \left( \frac{1}{35} - \frac{1}{55} \right)[/tex] of the pool in one minute. That's [tex]\displaystyle \left( \frac{1}{35} - \frac{1}{55} \right)\; \text{pool} \cdot \text{minute}^{-1}[/tex].
At [tex]\displaystyle \left( \frac{1}{35} - \frac{1}{55} \right)\; \text{pool} \cdot \text{minute}^{-1}[/tex], filling the entire pool would take
[tex]\displaystyle \frac{1\; \text{pool}}{\displaystyle \left( \frac{1}{35} - \frac{1}{55} \right)\; \text{pool} \cdot \text{minute}^{-1}} = \frac{1}{\displaystyle \frac{1}{35} - \frac{1}{55}}\; \text{minute} = 96.25\; \text{minute}[/tex].
Hence, it would take [tex]96.25[/tex] minutes for the smaller hose to fill the entire pool on its own.
can someone pls help me with this i will mark brainliest
You have the correct answer. Nice work.
=======================================================
Explanation:
Let's say Phil passes his brother at a sign post, and let's say the sign post is x miles into the 6 mile hike. This means 0 < x < 6.
Once Bill reaches the sign post, he turns around to walk back x miles. His faster brother Phil bikes the remaining 6-x miles to the trail end, before coming back to bike an additional 6 miles to get to the trailhead again. Phil arrives back at the same moment Bill does.
Overall, Phil travels 6-x+6 = 12-x miles in the same amount of time Bill walks back x miles. I recommend drawing out a number line diagram to see why this is the case.
-------------
For Bill, we have this equation
distance = rate*time
x = r*t
r = x/t
Phil has the equation
distance = rate*time
12-x = (3r)*t
Notice that Phil's rate is three times that of Bill. The t is the same for both brothers because they travel in the same timespan.
Plug in r = x/t and solve for x. The t variables divide and cancel.
12-x = 3*(r)*t
12-x = 3*(x/t)*t
12-x = 3x
12 = 3x+x
4x = 12
x = 12/4
x = 3
Phil passed Bill at the 3 mile marker.
This is why the answer is choice B.
Barbra earns $2345 per month. 20% is taken out of her paycheck for federal and state taxes. Last month she spent $754 for rent and $283 for food.
What percent of her take-home pay (amount after taxes) did she spend on food?
Answer:
I think it would be 568 I'm not the best at math though so I might be wrong
..............................
Answer: Your Mother
Step-by-step explanation:
Just kidding.
Grandmother. The trick is that the mother of the daughter of the mother is still the mother, so fatima's mom's mom is the grandmother.
The cost of renting a car is $43/week plus $0.25/mile traveled during that week. An equation to represent the cost would be y=43+0.25x, where x is the number of miles traveled. a. What is your cost if you travel 52 miles? The cost is $ Number . b. If your cost was $59.25, how many miles were you charged for traveling? You were charged for traveling Number miles. c. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?
Answer:
See attachment
Step-by-step explanation:
On attached image.