Simplifying h(x) gives
h(x) = (x² - 3x - 4) / (x + 2)
h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)
h(x) = ((x + 2)² - 7x - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)
h(x) = (x + 2) - 7 - 22/(x + 2)
h(x) = x - 5 - 22/(x + 2)
An oblique asymptote of h(x) is a linear function p(x) = ax + b such that
[tex]\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0[/tex]
In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.
5m - 2 represents the statement two less than five times a number
Answer:
yes
Step-by-step explanation:
send help pleaseeeeeeeeeeeeee
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Solve for x help me please****
Answer:
2x-10=x
take -10 to the other side it becomes +10
take +x to the other side where there is 2x it becomes-xevaluate 2x-x=xso x=10frEE po ints
Lets say you own a ferret store and you have 20,female ferrets worth $400 and 2, male ferrets worth 350 dollar ferrets. you sell 1male ferret and 8 female ferrets how much money do you get from the sellings?
pt.b
your store gets robbed and you loose 800 dollars worth of female ferrets and 350bucks worth of male ferrets how many ferrets do you have in still have in toatal?
Answer:
Part A, 3550$
Part B, Ten female ferrets left
Step-by-step explanation:
Pat is saving money to buy a bicycle. The amount he has saved is shown in the table below.
Which of the functions below describe the amount A , in dollars, Pat has saved after t weeks?
Select all that apply.
A(t)=15+15(t−1)
A(t)=30+15(t−1)
A(t)=15+15t
A(t)=15+30t
A(t)=15t
Answer:
I think A and C
Step-by-step explanation:
Given −7 is one of the roots of the quadratic equation
(x + k)2 = 16, where k is a constant, find the values of k.
Answer:
k = {3, 11}
Step-by-step explanation:
Taking the square root of the given equation, we find ...
x +k = ±4
For x = -7, this is ...
-7 +k = ±4
k = 7 ±4 = {3, 11}
Possible values of k are 3 and 11.
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
Taking square root on the both sides of equation (x + k)² = 16 we get,
[tex]\implies\rm{( {x + k)}^{2} } = 16[/tex]
[tex]\implies\rm{x + k = ± 4}[/tex]
Making two conditions for ± 4 i.e
1) x + k = 4
[tex]\implies\rm{ - 7 + k = 4}[/tex]
[tex]\implies\rm{k = 4 + 7}[/tex]
[tex]\implies\rm{k = 11}[/tex]
2) x + k = -4
[tex]\implies\rm{ - 7 + k = - 4}[/tex]
[tex]\implies\rm{k = - 4 + 7}[/tex]
[tex]\implies\rm{k = 3}[/tex]
Thus the values of k can be either 11 or 3.Solve each inequality:
a. x + 3 < 4
b. x - 3 > 5
_
c. 4 > x - 2
d. -2 < x + 1
_
I want help its urgent!!!
(iv), (v), (vi) Questions
Solution:
iv) Given equation: [tex]x^{2} - y^{2} - 4x - 2y + 3[/tex]
Since we are given two variables, we need to split the original expression into two quadratic expressions as
[tex]x^{2} - 4x + 4 - y^{2} - 2y - 1[/tex]
Factoring x first:
[tex]x^{2} - 4x + 4 =[/tex] [tex]x^{2} - 2x - 2x + 4[/tex]
= [tex]x (x - 2) - 2 (x-2)[/tex]
= [tex](x-2)(x-2)[/tex]
[tex]= (x-2)^{2}[/tex]
Factoring y now:
[tex]-y^{2} - 2y - 1 = -1(y^{2} + 2y + 1)[/tex]
= [tex]-1(y^{2} + y + y + 1)[/tex]
= [tex]-1[ y(y+1) + 1(y+1)][/tex]
= [tex]-1 [(y+1)(y+1)][/tex]
= [tex](y+1)(-y-1)[/tex]
Therefore, the original expression becomes
[tex](x-2)^{2}+(y+1)(-y-1)\\or \\(x-2)(x-2) + (y+1)(-y-1)[/tex]
Do now: Balance the following equation.
1.
C₂H₂ + O₂--
+
--->
- CO2 + H2O
Answer:
C2H2 + 3O2 ---> 2CO2 + 2H2O
Step-by-step explanation:
What is the answer I’ll rate you 5
The equation of the line is [tex]y=8[/tex]
To get the required equation, use the general form of the equation of a line having a gradient [tex]m[/tex], and passing through a point [tex](x_0,y_0)[/tex]
[tex]y-y_0=m(x-x_0)[/tex]
For our problem, the line has [tex]0[/tex] gradient, and passes through the point [tex](4,8)[/tex]
substituting the required values, we have
[tex]y-y_0=m(x-x_0)\\y-8=0(x-4)\\y-8=0\\y=8[/tex]
The required equation is [tex]y=8[/tex]
Learn more here: https://brainly.com/question/1690609
Why do we not use a Leg-Leg (LL) Theorem that says if you know that the legs of two right triangles are congruent, then the triangles are congruent?
A. This information is not sufficient to prove triangles congruent.
B. This case is already covered by the HL Theorem.
C. This case is already covered by the SSS Postulate.
D. This case is already covered by the SAS Postulate.
45 + 30 = 100 - w
Answer correctly luvs
Answer:
the answer is 25
Step-by-step explanation:
45+30=100-w
then your going to subtract 45 on both sides. So 100-45 is 55.
so now your equation looks like this
30 = 55 - w
subtract 55 on both sides so you will have -25 = -w. Then your going to divide -w on both sides and you will have positive 25
i hope thus helps
Examine the diagram, where BD is tangent to circle M at point D, and BA is secant to the same circle at points E and A.
Answer:
19 = x
Step-by-step explanation:
The square of the tangent segment = The product of (whole secant segment) (the outside part of the secant segment)
BD²= (BA)(BE)
8² = (4 + x - 7) (4) BA = BE + EB
8² = (x - 3)(4)
64 = 4x - 12
64 + 12 = 4x
76 = 4x
19 = x
State the slope and y-intercept for the graph of
- 8x + y = -12.
Answer:
y must have a numerical coefficient of 1. This equation does. If it does not, then you must divide through by whatever is in front of the y.
To read the slope, you must have x and its coefficient on opposite sides of the equal sign.
So you get
y = 8x – 12 when you add 8x to both sides
Next, the y intercept is found when x = 0
y = 8x – 12
y = 8(0) – 12
y = – 12
The y intercept is -12 or in point form (0, – 12)
Answer
slope = 8
y intercept = – 12
Step-by-step explanation:
If
f (x) = -3x + 15
find:
f (x)
-6
Answer:
33
Step-by-step explanation:
f(-6) = -3(-6) + 15
= 18 + 15
= 33
She received 900 beads, and 10% of them were green. How many green beads did Liz receive?
Therefore, Liz received about 90 beads that were green.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Answer:
90
Step-by-step explanation:
10 is 10% of 100 so then 10 times 9 = 90.
I have to find out which quadratic equations are in standard form?
Answer:
See image
Step-by-step explanation:
In order to be in standard form, all the variables should be on the same side of the equation. The x^2 term should be first, then the x term then the constant (you could think of it as an x^0 term; it is a plain number) The coefficients of the x^2 term and the x term, should be integer coefficients (the number next to the x^2 and x cannot be a fraction or decimal)
write the equation of a line that passes through the points (-4,-7) and (-6,9)?
To solve this you need to use the formula: y2 - y1
x2 - x1
9-(-7) over -6-(-4)
The answer would be -8.
5+(3²-4)-6/3 please help
Therefore, 8 is the answer.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
PLEASE NO LINKS AND NO NEGATIVITY
The figure below shows a rectangular prism and a cube:
A rectangular prism and a cube are drawn side by side. The length of the rectangle prism is 4 inches, the width is 3 over 4 inch, and its height is 1 and 2 over 4 inches. The cube has a side length of 1 over 4 inch.
How many such cubes are required to completely pack the prism without any gap or overlap?
choices:
288
576
1,152
1,636
Answer:
576
Step-by-step explanation:
find the volume and then divide by the cube
OMG PLS HURRY IN TEST!!
Select the correct answer.
Which graph represents this system of inequalities?
y > x + 3
y ≤ 5x − 1
Answer:
A is the correct answer!
Good luck on your test!
Answer: a
Step-by-step explanation:
PLEASE HELP ME WITH THIS I WILL MARK BRAIINLIST!!
Answer:
10
Step-by-step explanation:
First solve for x. HI = 2x, IJ = 4x - 10, and the whole length HJ = 4x.
So 2x + 4x - 10 = 4x.
6x - 10 = 4x
6x - 4x - 10 = 4x - 4x
2x - 10 = 0
2x - 10 + 10 = 0 + 10
2x = 10
x = 5.
IJ is 4x - 10, so it becomes 4(5) - 10
20 - 10 = 10
Question 14 (5 points)
image
Which of the following is a true statement about the rhombus shown?
Question 14 options:
A)
≅
B)
m∠SPQ = 90°
C)
m∠STP = 90°
D)
≅
Question 15 (5 points)
image
Determine the value of x.
Question 15 options:
A)
x = 90°
B)
x = 45°
C)
x = 20°
D)
x = 4.5°
Answer:
14) C
15) D, because 90:20=4.5
Y=-3x+1 y+5=-3(x-2) what do the following two equations represent A)The same line B)Distinct parallel lines C)Perpendicular Lines D)Intersecting, but not perpendicular lines
Answer:
C) perpendicular lines
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer: y= (1/4)x
Step-by-step explanation: Best guess given screenshot, matched with desmos.
HELP ME PLEASE..!!!!!! Thank youuuuuu…
Answer:
22
Step-by-step explanation:
2x+x-2=2x+9
3x-2=2x+9
x-2=9
x=11
MN=2x
MN=2(11)
MN=22
Find a and b. А E b B 409 с D
Answer:
a = 70°, b = 140°
Step-by-step explanation:
use alternate interior angles
The interior angles of a straight line are 180°
a = 180°-110° = 70°
b = 180°-40° = 140°
//I'm sorry, but I'm not very fluent in English.
Solve the system of equations.
4х – 3y = 12
3х + 6у = 42
Answer: B. (6,4)
Find x for the 2nd equation
3x + 6y = 42
3x = 42-6y
x= (42-6y) / 3
Place the value of x in the first equation and find for y then.
4x - 3y= 12
4{(42-6y)/3} - 3y = 12
So the answer for y is 4
Now, you know the value of y is 4.
4x - 3*4 = 12
4x - 12 = 12
x= 12+12 /4
x= 6
So x is 6 and y is 4. So the answer is B.
please show work
10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?
Answer:
34.2 m
Step-by-step explanation:
We know that
Area of parallelogram = Base × Height
690.84 = B × 20.2
690.84/20.2 = B
34.2 = B
Hence,
Base of parallelogram is 34.2 m
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
Here we've been given:
Area of parallelogram (A) = 690.84 m²Height (H) = 20.2 m Length of base (B) = ?[tex]:\longrightarrow\tt{Area \: of \: parallelogram = Base \times Height} \\ \\ :\longrightarrow\tt{690.84 = B \times 20.2} \\ \\ :\longrightarrow\tt{ \frac{690.84}{20.2} = B} \\ \\ :\longrightarrow\tt{34.2 = B} \\ \\ :\longrightarrow\tt{B = 34.2 \: m}[/tex]
The length of base is 34.2m.