Answer:
= 5m - 30 = 0
Step-by-step explanation:
That's the answer <3
Value of x in this solution
Answer:
Y = 6
Step-by-step explanation:
Can someone help me?
Answer:
-5.25
Step-by-step explanation:
There are 4 tick marks between every next integer, so you know that they are counting at a value of 0.25 per tick mark. D is at negative 5 plus negative 0.25, with D's position being at -5.25
Tìm giá trị của Lim (đề bài trong ảnh)
First, rewrite
[tex]\dfrac{x^2+5x+4}{x^2-3x+7} = \dfrac{(x^2-3x+7)+(8x-3)}{x^2-3x+7} = 1 + \dfrac{8x-3}{x^2-3x+7}[/tex]
Next, we have
[tex]\dfrac{x^2-3x+7}{8x-3} = \dfrac x8 - \dfrac{21}{64} + \dfrac{385}{512x-192}[/tex]
so we can further rewrite
[tex]\dfrac{x^2+5x+4}{x^2-3x+7} = 1 + \dfrac1{\frac x8 - \frac{21}{64} + \frac{385}{512x-192}}[/tex]
The idea behind all this is to get the limand into a form resembling the limit definition of the constant e, which is
[tex]\displaystyle e = \lim_{x\to\infty} \left(1+\frac1x\right)^x[/tex]
The next step is to make the substitution,
[tex]y = \dfrac x8 - \dfrac{21}{64} + \dfrac{385}{512x-192}[/tex]
Solving for x gives two solutions,
[tex]x = \dfrac{8y+3\pm\sqrt{64y^2+36y-19}}2[/tex]
but we want to have y approaching infinity, just like in the definition for e, which is achieved only by the solution with the positive square root. (You can check for yourself that the other solution instead approaches 3/4.)
So, our limit is equivalent to
[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac{8y+3+\sqrt{64y^2+36y-19}}2}[/tex]
[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac{8y+3+8y\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}}2}[/tex]
[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{4y\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right)+\frac32}[/tex]
[tex]\displaystyle \lim_{y\to\infty} \left(\left(1+\frac1y\right)^y\right)^{4\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right)+\frac32}[/tex]
[tex]\displaystyle \lim_{y\to\infty} \left(\left(1+\frac1y\right)^y\right)^{4\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right)} \cdot \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac32}[/tex]
Next, we use the fact that
[tex]\displaystyle \lim_{x\to\infty} f(x)^{g(x)} = \left( \lim_{x\to\infty}f(x)\right)^{\lim\limits_{x\to\infty}g(x)}[/tex]
Now, the "base" limit is e, while the "exponent" limit is
[tex]\displaystyle \lim_{y\to\infty} 4\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right) = 4(1+\sqrt{1+0+0}) = 8[/tex]
and the remaining limit is simply
[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac32} = (1+0)^{\frac32} = 1[/tex]
So, we end up with
[tex]\displaystyle \lim_{x\to\infty} \left(\frac{x^2+5x+4}{x^2-3x+7}\right)^x = e^8 \cdot 1 = \boxed{e^8}[/tex]
The graph shows the number of minutes you and your brother spend training your dogs for an upcoming competition. You spend___more minutes trading your dog each day than your brother.
Answer:
It is 15 but I don't know what the steps are since I took a test on this question and failed to get the right answer.
Here are three different recipes for cookies.
Recipe 1: Mix 2 cups of chocolate chips with 6 cups of cookie batter.
Recipe 2: Mix 3 cups of chocolate chips with 7 cups of cookie batter.
Recipe 3: Mix 4 cups of chocolate chips with 12 cups of cookie batter.
Which two cookie recipes will make the same cookies?
Answer:
Recipes 1 and 3 will make the same amount
Suppose 60% of the graduating class in a certain high school goes on to college. If 144 students from this graduation class are going on to college, how many students are from this graduating
class
Answer:
I'm assuming the answer is 400, I'm not quite sure
The length of a pool table is 71 feet and the width is 36 feet. Find the area of the surface of the pool table by multiplying the length by the with
(20 points)
Answer:
2556 feet squared
Step-by-step explanation:
Area is calculated by multiplying length times width. 71x36=2556
I like to have some leftovers.
I've discovered that the
proper ratio of turkey to
people is 12 pounds of turkey
for every'8 people. If 36
people are going to be
eating, how many pounds of
turkey do I need to buy?
write equations for each of the following graphs!
NO LINKS!!
9514 1404 393
Answer:
y = √(x+4) -2y = -(x -2)^2 -3Step-by-step explanation:
The translation of a parent function f(x) by (h, k) gives the function ...
g(x) = f(x -h) +k . . . . . h units right, k units up
Reflection across the x-axis multiplies the function value by -1.
__
a) The square root function is translated 4 left and 2 down. The equation of the graph is ...
y = √(x +4) -2
__
b) The equation of the parabola is reflected across the x-axis and translated right 2 and down 3.
y = -(x -2)^2 -3
(3a - b)(a + b) - (3a - b)²
Kevin’s car can go 315 miles on one tank of gas. He used just under 40% of a full tank of gas to get him to a sporting event Traveling at an average speed of 60 miles per hour about how long did it take him to get there how did you decide
Answer:
2 hours 6 minutes
Step-by-step explanation:
40% of 315 is 126 [miles]
126 miles = 126 minutes, since he went at 60 miles per hour [one mile per minute]
126 minutes = 2 hours 6 minutes
So, 2 hours 6 minutes, or 126 minutes.
What’s the answer ?
2003 4/11
+
59
=
Answer:
2062 4/11
Step-by-step explanation:
Okay so assuming 2003 4/11 is a mixed number, we just add:
2003 4/11 + 59 = 2062 4/11
Hope this helps:)
PLEASE HELP clear up my confusion! Carrie took out a $12,000 personal loan to pay off her credit cards. She will not make a payment for 2 years and there is a 5% interest rate. How much will be owed in 2 years with monthly compounding?
I know this is relatively simple but the variable that she doesn't pay for 2 years is confusing me on how to set up the problem.
Answer:
$13,259.30
Step-by-step explanation:
The account balance with compound interest is ...
A = P(1 +r/n)^(nt)
A = $12,000(1 +0.05/12)^(12·2) ≈ $13,259.30 . . . . will be owed in 2 years
__
It's a straight compound interest problem. "No payments for 2 years" means the account continues to accrue compounded interest. It's basically a future-value problem, as opposed to an amortization or annuity problem where payments are involved.
PLEASE HELP WITH ALL
Answer:
For 9., the answer is x = -6
For 10., the answer is x = 6
For 11., the answer is x = -7
For 12., the answer is x = -6
Nikki descended 20.4 meters from the ocean surface. She then ascended 13.6 meters.
How far from the ocean surface was she?
It takes Ms. Brown 5/12 hours to hike 11 miles. At this rate, how long will it take her to hike the remaining 7 miles to her camp site?
Answer:
It will take 4 hours and 20 minutes to hike the rest of the 7 miles
Step-by-step explanation:
Slope from graph Khan Academy. PLEASE HELP ME!! IM HAVING SO MUCH TROUBLE
Answer:
Step-by-step explanation:
you first have to find two points that pass directly through the graph in this case we have (1,4) and (4,-4)
Now we use y2-y1 divided by x2-x1
in this case -4 - 4 (y2-y1) and 4 - 1 (x2-x1)
giving you -8 and 3
so try putting -8/3 as your answer this is what i would put sorry if it is incorrect
Is the sequence arithmetic or geometric?
1, 2, 4, 8, 16,...
Answer:
Step-by-step explanation:
Geometric sequence.
Each term is obtained by multiplying 2. So, it is geometric sequence
2 = 1*2
4 = 2*2
8 = 4 *2
16 = 8 *2
How do you know if a table of values shows a function?
Daniel has a 3/4 pound bag of dog
treats. He will give his dog 1/8 of the treats after they play each day. How many days will the bag last?
Answer: 6 days
Step-by-step explanation:
if you make them into common denominators, it would be 6/8, so it would last 6 days
Answer:
6 days.
Step-by-step explanation:
First, make each fraction have a like denominator
3/4 × 2/2 = 6/8
Then, subtract the 1/8 for each day
6/8 - 1/8 = 5/8
You can either write this out can count how many times you do this, or since were subtracting 1/8 every time, and we have 6/8, you can see that there is enough food to feed the dog for 6 days.
Help help help math please pelsss
Answer:
a is 2-1= 1 b is 1-2=1 c is 1 its simple "liahthegoddest'
Answer choices
A: 112
B: 34
C: 68
D: 73
Answer:
Step-by-step explanation:
This is an isosceles triangle, since XY and ZY are the same length. That means by the Isosceles Triangle Theorem, angle X and angle Z are congruent. Since the measures of a triangle by the Triangle Angle-Sum Theorem have to add up to equal 180 degrees, then angle Y, the vertex angle, measures
180 - 34 - 34 which is 112, choice A.
the answer is A. 112 hope this helps
pls help i will give brainlinest (please explain how to do)
Hello! The missing number is -1.
Notice that we add 1 every time:
-3+1=-2
-2+1=-1
-1+1=0
Therefore, the missing number is -1.Hope this helps!
~Just a felicitous girlie
#HaveAnAwesomeDay
[tex]SilentNature :)[/tex]
Original Amount: 2008
New Amount: 1975
- Which product is greater, (-4) • (-6) or
(-7).(-8)? Explain
Answer:
(-7)*(-8)
Step-by-step explanation:
Two negatives make a postive so 7*8=56 and 4*6=24.
Work out m and c for the line: 2 y + 6 x = − 4
Answer:
mn
Step-by-step explanation:
I’m not quite understanding this, it’s just not setting in my brain (I’m just now starting in this math class)
Anyone who can help me, thank you I appreciate you, a lot!
I need part a and b
The question has to be worked out and if anyone doesn’t care to explain it to me! :)
Answer:
Step-by-step explanation:
Let x be the number of hours worked
Let C = the charge made by the first company
Let c = the charge made by the second company
You want to know when the costs will be =.
Equations
C = 376 + 12x
c = 280 + 15x
Solution
Make the two right sides equal
376 + 12x = 280 + 15x Subtract 12x from both sides
376 = 280 + 15x - 12x Combine like terms on the right
376 = 280 + 3x Subtract 280 from both sides
376 - 280 = 3x Combine
96 = 3x Divide both sides by 3
32 = x
Each company would have to work 32 hours to get the same amount to be charged.
C = 376 + 12x
C = 376 + 12*32
C = 376 + 384
C = 760
The amount each would charge is 760
Jane watched her brother Peter build something that looked like stairs out of blocks. He put a block, then a tower of 2 blocks next to it, then a tower of 3 blocks… If he continues the pattern, how tall will the tallest tower be if there are 200 blocks in the kit?
Answer:
1,200
Step-by-step explanation:
3x2=6 and 6x200=1,200
If I have 4 types of wood and 5 types of other materials, what is most likely.
Answer:
Well I'm not sure what your answer choices are but based on the question I can tell you this:
If you have 4 wood and 5 other materials then you have 9 total materials.
So if you have 4 wood then you have a 4/9 chance of choosing wood.
And you have a 5/9 chance of choosing another material
So based on that, you would be more likely to choose another material, that is not wood.
How to solve f(x)-2x+1 find f(h+2)
Step-by-step explanation:
In pictures answered .