Answer:
D. The function approaches 1 as x approaches -infinity and infinity
Step-by-step explanation:
Step 1: Divide numerator and denominator by [tex]x^2[/tex]:
[tex]\frac{x^2-4}{x^2-9}=\frac{1-\frac{4}{x^2}}{1-\frac{9}{x^2}}[/tex]
Step 2: Notice that as x gets closer to infinity or negative infinity, x^2 gets closer to infinity, meaning that the expression approaches 1/1 =1
Help help please …thanksss
Can someone solve this, please?
AND FAST
Answer: 40
Step-by-step explanation: yes make me brainlist (its the crown)
Two positive numbers are in the ratio 2 : 3. Find the numbers if (a) their sum is 55 and (b) their product is 384.
say the numbers are "a" and "b", we know that they're in the ratio of 2:3, or namely that
[tex]\stackrel{\textit{in the ratio of 2 to 3}}{a~:~b\qquad \qquad 2:3}\qquad \qquad \implies \qquad \cfrac{a}{b}=\cfrac{2}{3}\implies \cfrac{3a}{2}=b \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{their sum is 55}}{a + b = 55}\implies a + \cfrac{3a}{2}=55\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( a + \cfrac{3a}{2} \right)=2(55)} \\\\\\ 2a+3a=110\implies 5a=110\implies a = \cfrac{110}{2}\implies \boxed{a = 22}[/tex]
[tex]\stackrel{\textit{we know that}}{\cfrac{3a}{2}=b}\implies \cfrac{3(22)}{2}=b\implies \boxed{33=b} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{their product is 384}}{ab=384}\implies a\left( \cfrac{3a}{2} \right)=384\implies \cfrac{3a^2}{2}=384\implies 3a^2=768 \\\\\\ a^2=\cfrac{768}{3}\implies a^2=256\implies a=\sqrt{256}\implies \boxed{a=16} \\\\\\ \stackrel{\textit{we know that}}{\cfrac{3a}{2}=b}\implies \cfrac{3(16)}{2}=b\implies \boxed{24=b}[/tex]
The positive numbers for both the parts are obtained as 22,33 and 16,24 respectively.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
(a) As per the question, the numbers can be considered as 2x and 3x respectively.
Then, the equation for their sum can be written as follows,
3x + 2x = 55
⇒ 5x = 55
⇒ x = 11
The numbers are obtained as 2 × 11 = 22 and 3 × 11 = 33.
(b) Similarly, the equation for the product of numbers can be written as,
3x × 2x = 384
⇒ 6x² = 384
⇒ x² = 64
⇒ x = 8
The numbers are obtained as 2× 8 = 16 and 3 × 8 = 24.
The required number for both the cases are 22,33 and 16,24 respectively.
To know more about linear equation click on,
https://brainly.com/question/11897796
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Find the missing value.
Answer:
It would be +3
Step-by-step explanation:
When you add -8 plus a positive 3 that would be a negative -3
Answer:
-5=-8--3
= -3 Start at -8 go down untill u reach -5 then count how many u went down
Plz help me i will give u 50pts^_^ and brainliest<3
Answer:
y/x^2=-2x+3
Step-by-step explanation:
2 answers each for 8-15
Answer:
luh jusko kalisod ba search mo yan sa goohle
If 3(x − 2) = −7, then x =?
Answer:
-5 2/3
Step-by-step explanation:
is 3(x-2) = -7 then it's same as 3x-6=-7
We simplify this by adding 6 and subtracting 6.
Our result is
3x=-17
-17/3=-5 2/3
Ben made some apple pies. For every 4 cups of butter, he added 3 cups of water. The ratio of butter to water in Ben's apple pies is ____. (5 points)
Question 1 options:
1)
2)
3)
3
4)
4
Answer:
4 Trust me
Step-by-step explanation:
The question in the picture
1/27
Explanation:
You would multiply to get to the answer.
Solve system of equations y=3/4x+2 5x+4y=-24
Answer:
[tex]\left \{ {{y=-1} \atop {x=-4}} \right.[/tex]
Step-by-step explanation:
[tex]\left \{ {{y=\frac{3}{4} x+2} \atop {5x+4y=-24}} \right. <=> \left \{ {{y=\frac{3}{4}x+2 } \atop {5x+4*(\frac{3}{4}x+2)=-24 }} \right. <=>\left \{ {{y=\frac{3}{4}x+2 } \atop {5x+3x+8=-24}} \right. <=> \left \{ {{y=\frac{3}{4}x+2 } \atop {8x=-32}} \right. \\<=>\left \{ {{y=\frac{3}{4}x+2 } \atop {x=-4}} \right. <=> \left \{ {{y=\frac{3}{4}*(-4)+2 } \atop {x=-4}} \right. <=> \left \{ {{y=-3+2} \atop {x=-4}} \right. =>\left \{ {{y=-1} \atop {x=-4}} \right.[/tex]
11. Given a matrix A, what is A^1?
A=[0 12 0 1]
[tex]\text{Since det(A) = 0, the inverse of the matrix does not exist.}[/tex]
a pupil who scored 60 in her maths exam was absent and missed English exam use the line of best fit to predict what her English mark could be
Answer:
It's 48.
Hope that helped? Also, if you need anymore answers feel free to ask me as I had that assignment on Mathswatch.
Step-by-step explanation:
Answer:
i think it's 48 if i'm wrong i'm sorry
Which choice is equivalent to the product below?
14.6
O A. 125
B. 6-28
C. 2-21
D. 28
Answer:
2√21
Step-by-step explanation:
1) Simplify.
√84
2) Simplify √84 to 2√21.
2√21
plz answer fast i will mark as brainlist
Answer:
36 is the answer
Step-by-step explanation:
Hope it will help you
please help for brainliest!!!!
Answer:
d)
[tex] {i}^{740} [/tex]
Step-by-step explanation:
i¹= i
i²= -1
i³= -i
i⁴= 1
i¹²⁴= i^(124 +0)
i^124 . i^0
i^(4×31) . i^0 = 1³¹. i^0
1.i^0= i^0
= 1
a) i^179= i^(176+3)
i^176 . i³ = i^(4×44) . i³
1⁴⁴. i³ = 1. i³
= -i
b) i^582 = i^(580 + 2)
i^580 . i²= i^(4×145) . i²
1^145 . i²= 1.i²
= -1
c) i^165= i^(164+1)
i^164 . i¹ = i^(4×41) . i¹
1⁴¹ . i¹ = 1.i
= i
d) i^740= i^(740+0)
i^740 . i^0 = i^(4×185) . i^0
1^185 . i^0 = 1. i^0
= 1
i¹²⁴= i^740 = 1
A rectangle has a length of x + 7 and a width of x-2. Which equation below describes the perimeter, P, of
the rectangle in terms of x?
Answer:
P = 4x + 10
Step-by-step explanation:
perimeter of a rectangle = 2( width + length )
P = 2 ( x - 2 + x + 7 )
P = 2 ( x + x + 7 - 2 )
P = 2 ( 2x + 5 )
P = 4x + 10
Noah starts with 0 and then adds the number 5 four times. Diego starts with 1 and then multiplies by the number 5 four times. For each expression, decide whether it is equal to Noah’s result, Diego’s result, or neither.
Answer:
Diego's result is the same as Noah's result.
Step-by-step explanation:
Noah: 5+5+5+5=20
Diego: (1x5) + (1x5)+(1x5)+(1x5)= 20
factorise
28q+35
pls help
Answer:
7(4q+5)..................
If 3(x - 2) = 6, then x
Answer:
8
Step-by-step explanation:
3(x - 2) = 6
3x - 6 = 6
x - 6 = 2
x = 8
hope it helps :)
mark brainliest!!
Help help help help math
$145.75 marked up by 33% (round to the nearest cent)
Answer:
$189.48
Step-by-step explanation:
$145.75 + 30% × 145.75 = $145.75×1.30 ≈ $189.48
If I have a 93.3 in my class and I took a test, got 75% on it (the test is worth 20 points) what would my grade be? I need help ASAP!!!!
Answer:
it will be an 91 or 88
Step-by-step explanation:
Express the dollowing fraction in decimal form as a terminating decimal or as a infinite repeating decimal 3/16
Answer:
3/16 as a decimal is equal to 0.1875.
Let's convert the given fraction to a decimal number.
Explanation:
To convert any fraction to decimal form, we just need to divide its numerator by denominator.
Here the fraction is 3/16 which means we need to perform 3 ÷ 16.
So, 3/16 is equal to 0.1875.
Hope that helps you in some way.
Find the whole number equal to the fraction below. Enter your answer in the
space provided
Answer:
7
Step-by-step explanation:
42/6= 7
---
its a sort of memorization thing youll know when you do enough of them.
if not, you can divide by smaller parts.
3*2=6 so you can divide 42 by 2, and then 3 if that is easier
42/2
=21
then divide by 3 =7
Answer: 7
Step-by-step explanation: If you simplified 42/6 you would get 7 and 42/6 is basically 42 ÷ 6 which equals 7.
Kesha went for a drive in her new car. She drove at a speed of 51.2 miles per hour for 2 hours. For how many miles did she drive?
Answer:
102.4
Step-by-step explanation:
51.2 x 2 = 102.4
WILL GIVE BRAINLIEST
Answer:
it is d
Step-by-step explanation:
In trapezoid DEFG, EG = 24.3 and DH = 9.4. Identify HF.
Answer:
HF = 14.9
Step-by-step explanation:
Help help help math math help
0.081 to the nearest hundredth
Answer:
0.08
Step-by-step explanation:
a 1 in the thousandths place is dropped in standard rounding to the nearest hundredth.
Answer:
0.08
Step-by-step explanation:
In 0.081, 0 is the tenth, 8 is the hundredth, and 1 is the thousandth. So as you want to approximate to the nearest hundredth, you have to look at the number behind 8 which is 1. And, 1 is less than 5, so you don't have to round up.
Find the median of the numbers in the following list. 26, 13, 39, 22, 42,39, 18, 21, 32,14
Answer:
24
Step-by-step explanation:
13,14,18,21,22,26,32,39,39,42
middle is 22 and 26
therefore you add and divide by 2
then you'll get 24