First. Finding the x-intercepts of
Let be the change in water level. So to find the x-intercepts of this function we can use The Rational Zero Test that states:
To find the zeros of the polynomial:
We use the Trial-and-Error Method which states that a factor of the constant term:
can be a zero of a polynomial (the x-intercepts).
So let's use an example: Suppose you have the following polynomial:
where the constant term is . The possible zeros are the factors of this term, that is:
.
Thus:
From the foregoing, we can affirm that are zeros of the polynomial.
Second. Construction a rough graph of
Given that this is a polynomial, then the function is continuous. To graph it we set the roots on the coordinate system. We take the interval:
and compute where is a real number between -2 and -1. If , the curve start rising, if not, the curve start falling. For instance:
Therefore the curve start falling and it goes up and down until and from this point it rises without a bound as shown in the figure below
Write the equation of each circle. center at (-4, 3), radius 9
Answer:
(x-h)²+(y-k)²=r²
putting respective value
(x--4)²+(y-3)²=9²
(x+4)²+(y-3)²=81
Answer:
(x + 4)^2 + (y - 3)^2 = 9^2
Step-by-step explanation:
Here our center is at (-4, 3), so h = -4 and k = 3. Radius, r, is 9.
Insert these values into the standard equation of a circle centered at (h, k) with radius r:
(x - h)^2 + (y - k)^2 = r^2 becomes:
(x + 4)^2 + (y - 3)^2 = 9^2
Solve the system by substitution 5x+2y=17 -4x+7=y
HELP PLEASEEE
Answer:
y=−9/2 x+12
HEART IF IT HELPED!!
A loggerhead sea turtle decided to swim to grab some lunch! She swam 4 miles west and 3 miles south until she stopped and found a delicious crab to eat. What is the distance between the sea turtle's start point and where she found the crab? Round to the nearest tenths place, if necessary.
Answer:
5 miles
Step-by-step explanation:
The Pythagoras theorem : a² + b² = c²
where a = length = 4
b = base= 3
c = hypotenuse
4² + 3²
16 + 9 = 25
√25 = 5
If an official NBA basketball has a circumference of 29.5 inches, what is the approximate volume in cubic inches?
19.66
92.34
321.75
433,63
Around 433.63 would be the correct answer
3x-4=58 ////helllppppo
Answer:
-0.75
Step-by-step explanation:
Cockroaches can digest a wide range of substances, which makes them a(n) _____.
A.specialist species
B.generalist species
C.keystone species
D.indicator species
Answer:
specialist species
A pattern of ordered pairs is shown.
(0, 1), (2,4), (4,7), (6, 10)
The pattern continues. What is the eighth ordered pair in the pattern?
A. (8,13) B. (14, 18). C. (14, 22) D. (16, 19)
Answer: C
Step-by-step explanation:
X’s are going by +2 and y’s by +3
After identifying the pattern, its eighth ordered pair is: (14, 22), option C.
--------------------------
The ordered pairs given are: (0, 1), (2,4), (4,7), (6, 10)
From them, we can see that for each new ordered pair, x increases by 2, and y increases by 3.Thus, the next ordered pairs are: (8, 13), (10, 16), (12, 19), (14, 22).The eighth ordered pair is given by (14,22), option C.A similar problem is given at https://brainly.com/question/16599038
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
ALSO 50 POINTS!
Answer:
h = 12 m
[tex] v_{cylinder}= 235.5 \: {m}^{3} [/tex]
Step-by-step explanation:
Radius of cylinder (r) = 5/2 = 2.5 m
[tex] {h}^{2} = {13}^{2} - {5}^{2} \\ h = \sqrt{ {13}^{2} - {5}^{2} } \\ h = \sqrt{169 - 25} \\ h = \sqrt{144} \\ h = 12 \\ \\ v_{cylinder} = \pi {r}^{2} h \\ v_{cylinder}= 3.14(2.5) ^{2} (12) \\ v_{cylinder}= 235.5 \: {m}^{3} [/tex]
3 + 2x - y = 0, -3 - 7y = 10x}
Answer:
In point form:
( -1 , 1 )
In equation form:
x = − 1 , y = 1
how do i solve this question
Answer:
18.18
Step-by-step explanation:
total sum of angle of quadrilateral is 360
70+60+ 7x-4+4x-3=360
160-7 +11x =360
153 +11x =360
11x=360-153
x=207/11
x=18.18
Jacob wants to purchase a new computer, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Jacob?
Answer:
3 one is the ans
Step-by-step explanation:
A car is traveling at a constant speed of 60 miles per hour. Complete the table below to the distance that the car travels in hours.
A horse’s heart rate is about 36 beats per minute. If the horse's heart has beaten 189 times how many minutes have passed by.
Answer:
5.25 mins
Step-by-step explanation:
189/36 = 5.25.
Don't download/ clikc on any links they are hackers.
Please help me this is due tomorrow and I don’t know what to do
Answer:
180-80=100
100-38=62
MJL=62
angle(m)=80
Answer:
<MJL = 62°
<m = 80°
x = 4
Step-by-step explanation:
in ∆JKL total angle aum is 180° and to find <L we have to subtract the given angles in this triangle from 180
that is
<L = 180-80-38 = 62°
then <MJL = 62° (alternative interior angle)
<JLM= 38° (alternative interior angle)
then <m = 180-62-38 = 80°
6x = 24 ( opposite sides are equal in parallelogram)
x= 24/6
x = 4
Please help me it’s due in 1 hour
Answer:
There were 39 children at the party
Step-by-step explanation:
Here, we want to know the number of children at the party
To do this, we have to add the y-values ( frequencies of the age grades)
We have this as;
8 + 8 + 7 +10 + 6 = 39
The vertex of this parabola is at (-2, 1). Which of the following could be its
equation?
(-2.1)
5
O A. x = 4(y + 1)2. 2
O B. y = 4(x - 2)2 +1
O C. x = 4(y - 1)2 - 2
O D. y = 4(x - 2)2 - 1
Answer:
y = 4(x + 2)^2 + 1 (Answer B)
Step-by-step explanation:
Here we're given h = -2 and k = 1. Right away we know that the vertex form of the pertinent equation is
y = 4(x + 2)^2 + 1 (Answer B)
will mark brainlliest
Answer:
1
Step-by-step explanation:
Answer:
b is the cprrect answer
Step-by-step explanation:
please mark this answer as brainliest
Anyone know how to do this?
Answer:
y = -1/2 x + 25
The relationship is linear, but it takes some doing.
Step-by-step explanation:
Remark
This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.
You have to introduce another variable which I labeled as z.
Let time = x
Let distance = y
Let the step away from the starting point = z which will be the same for x and y. So 18 and 16 the step away from the start is 3.
So as the time increases, the distance decreases. What we are going to do sort of resembles a parametric relationship.
t starts with 10
x = 10 + 4*(z - 1) and increases by 4 with each step
d starts with 20 and decreases by 2 with each step
y = 20 - (z - 1)*2
Now solve for z in each of the forgoing equations.
x = 10 + 4z - 4
x = 6 + 4z
x - 6 = 4z
(x - 6)/4 = z
y = 20 - 2z + 2
y = 22 - 2z
y - 22 = - 2z
(y - 22)/-2 = z
Since the zs must be kept the same, the left sides are equated
(x - 6)/4 = (y - 22)/-2 Cross multiply
-2(x - 6) = 4(y - 22) Remove the brackets.
-2x + 12 = 4y - 88 add 88 to both sides.
-2x + 100 = 4y Switch the sides
4y = - 2x + 100 Divide by 4
y = -1/2 x + 25
Now for sure you have to try this.
Let x = 14
y = -1/2 * 14 + 25
y = -7 + 25
y = 18
Try another one
Let x = 22
y = -1/2 * 22 + 25
y = - 11 + 25
y = 14
Those two at least check.
how do you solve 10.50 X 8.5
Answer:
89.25
Step-by-step explanation:
because:
it just is
PLS HELP! DONT SKIP PLS.
Elena borrowed some money from her brother. She pays him back by giving him the same amount every week. The graph shows how much she owes after each week. 1. What is the slope of the line?
2. Is the slope positive or negative?
3. How much money did Elena borrow? (Hint: Vertical Intercept)
Answer:
1. -3
2. negative
3. $18
Step-by-step explanation:
1. slope is rise/run so...
-3/1=-3
2. because run was a change of 3 DOWN the y axis we and run is a change of 1 to the right on x axis we have a negative slope. -3
3. she borrowed $18. Vertical intercept means the point where our line crosses the vertical axis. (Vertical axis is Y axis.)
[tex](\frac{v^2-49}{20v^3} )(\frac{4v^2-24v}{v^2+v-42} )[/tex]
I will give brainiest to answer with explanation.
Correct answer is
[tex]\frac{v-7}{5v^2}[/tex]
9514 1404 393
Answer:
(v -7)/(5v^2)
Step-by-step explanation:
Cancel common factors from numerator and denominator.
[tex]\dfrac{v^2-49}{20v^3}\times\dfrac{4v^2-24v}{v^2+v-42}=\dfrac{4}{20}\cdot\dfrac{(v-7)(v+7)(v)(v-6)}{v^3(v+7)(v-6)}\\\\=\dfrac{1}{5}\cdot\dfrac{v-7}{v^2}\cdot\dfrac{v(v+7)(v-6)}{v(v+7)(v-6)}=\boxed{\dfrac{v-7}{5v^2}}[/tex]
Solve.
Pls need help
Answer: try C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It's c because you multiply 3 1/8 by 3 and 3 1/4 by 4 and 3 1/2 by 1.
someone please help me
Answer:
A. 20ft
Step-by-step explanation:
Answer:
d. 98.5
Step-by-step explanation:
Triangles:
5 x 4 = 20/2 = 10
Circle:
5² x 3.14 = 78.5
Add both of them 98.5
Find the value of x, y, and z.
Round to the nearest tenth if needed.
Please help me
Answer:
x = 26.5
y = 12.0
z = 13.4
Step-by-step explanation:
✔️To find x, apply the leg rule, which is:
Hypotenuse/leg = leg/part
Hypotenuse = 30
Leg = x
Part = 30 - 6 = 24
Plug in the values into the equation
30/x = x/24
Cross multiply
x² = 30*24
x² = 720
x = √720
x = 26.5 (nearest tenth)
✔️Apply the triangle altitude theorem to find y:
Based on the theorem, h = √(ab)
Where,
a = 6
b = 30 - 6 = 24
h = y
Plug in the values
y = √(6*24)
y = √144
y = 12
✔️Apply the leg rule, Hypotenuse/leg = leg/part to find z:
Hypotenuse = 30
Leg = z
Part = 6
Plug in the values into the equation
30/z = z/6
Cross multiply
z² = 30*6
z² = 180
z = √180
z = 13.4 (nearest tenth)
Determine the center and radius of the following circle equation:
x^2+y^2+12x-10y+12=0
Answer:
Center: ( -6,5) Radius: 7
Step-by-step explanation:
I hope this helps!
Answer:
radius = 9
C:(9,3)
Step-by-step explanation:
In this problem a,b,c and d are nonzero integers. If a/b is added to x, the sum is c/d. Which statement can be used to prove that x must be a rational number.
A= x=cb-ad/bd B= x=cb+ad/bd C= x=c-a/d-b D= x= c+a/d-b
Answer:
x=cb-ad/bd
Step-by-step explanation:
The statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd
Prove of rational numberGiven nonzero integers:
a, b, c, d
If a/b is added to xa/b + x
the sum is c/da/b + x = c/d
prove x to be a rational number
a/b + x = c/d
subtract a/b from both sidesa/b + x - a/b = c/d - a/b
x = c/d - a/b
x = (cb - ad) / bd
Therefore, the statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd
Learn more about rational number:
https://brainly.com/question/12088221
A camping store is having a summer sale. Stoves are being sold at 40% off. If the sale price is $57 what was the original price of the stove before the sale
Answer:
The original price was $142.5.
Step-by-step explanation:
40 ÷ 100 = 0.4
$57 ÷ 0.4 = $142.5
Therefore, $142.5 is our answer.
Answer:
142.5
Step-by-step explanation:
Let's say the original price of the store before the sale is x
so 40% x X = $57
40/100 (X ) =57
0.4 (X) = 57 ====> X = 57 / 0.4 = 142.5
The original price of the stove before the sale is $ 142.5
Which of the following expressions is equivalent to (12x4−4x3+7x+6)+(3x2−4x+14)?
A
12x4−x3+3x+20
B
15x6−8x4+21x+6
C
15x6−4x3+3x+20
D
12x4−4x3+3x2+3x+20
Answer:
It believe its C
Step-by-step explanation:
someone please help me with this I would really appreciate it (no files ) or (links) because it don’t work for me
Answer:
817.71
Step-by-step explanation:
Hi!
This involves applying trigonometry.
Because we are trying to figure out the height of Burj Khalifa, we are trying to find the length of AB. We already have CB, which is the adjacent side with respect to the angle. Then, AB would be the opposite side with respect to the angle given.
Remember SOH CAH TOA? Well, we have the adjacent and opposite sides involved in this, so we use the tangent function!
It will be as follows:
tan(73) = AB / 250
AB = (250)(tan(73))
AB = 817.71 meters
No files no links or you’re going to get reported I’m giving 10 points so all I need is someone to help me
