Answer:
f(x) → -∞ as x → -∞
f(x) → -∞ as x → +∞
Step-by-step explanation:
The given function is;
f(x) = -5x^(6) + 8x^(5) - 1/(x² - 9x)
Using long division to divide this as attached, we have;
f(x) = -5x⁴ - 37x³ - 333x² - 2997x - 26973 + (-242757x - 1)/(x² - 9x)
Thus, the leading coefficient here is -5 and the polynomial degree is 4.
Since the leading coefficient is negative and the degree of the polynomial is an even number, then we can say that the behavior of the polynomial is;
f(x) → -∞ as x → -∞
f(x) → -∞ as x → +∞
If I roll 3 Dice .. What is the probability that I roll, a Even Number, and Odd Number, and a number bigger than 3. (P even, odd and >3)
if 20% of ms.moore's class earned a d how many of her 30 students earned a d what percent of students earned a different grade
Answer:
6 students earned a d and 80% got other
Step-by-step explanation:
Answer:
6 students, 80% of students
Step-by-step explanation:
20% of her 30 students earned a D. To find exactly how many students earned a D, we can convert the 20% into a fraction and thereby multiply the fraction by 30.
[tex]20[/tex]%[tex]=[/tex]
[tex]\frac{20}{100}=\\\frac{1}{5}[/tex]
Ok, [tex]\frac{1}{5}[/tex] of Ms. Moore's 30 students earned a D. Let's multiply.
[tex]\frac{1}{5}*\frac{30}{1} =\\6[/tex]
6 students in Ms. Moore's class earned a D.
Therefore, the rest of the class earned a different grade. [tex]30-6=24[/tex] students had a different grade. To find the percentage, we simply divide by the total number of students and multiply by 100%
[tex]\frac{24}{30} =\\\frac{4}{5} =\\0.8=[/tex]
[tex]80[/tex]%
80% of students in Ms. Moore's class got a grade other than D.
I hope this helps! Let me know if you have any questions :)
Solve the system of equations algebraically by using substitution method:
-3x+3y=9
-x+y=3
Answer:
This system has infinite solutions and it would be much easier to solve it by elimination but substitution it is.
Step-by-step explanation:
-3x+3y=9
-x+y=3
Isolate either x or y in any of the equations. I'll go with the second.
y = 3+x
Now substitute this for y in the first equation.
-3x+3(3+x)=9
Distribute the 3
-3x+9+3x=9
Combine like terms:
9=9
0=0
It's infinite
PLEASE HELP ME WITH THESE 2 QUESTIONS
Answer:
Step-by-step explanation:
One of the legs of a right triangle measures 12 cm and the other leg measures 16 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer: 20 cm
Step-by-step explanation:
Given
For the right angle triangle, the length of the other two sides of triangle are 12 cm and 16 cm
Using the Pythagoras theorem, [tex](\text{Hypotenuse})^2=(\text{Perpendicular})^2+(\text{base})^2[/tex]
Insert the values
[tex]\Rightarrow H^2=12^2+16^2\\\Rightarrow H^2=144+256\\\Rightarrow H^2=400\\\Rightarrow H=\sqrt{400}\\\Rightarrow H=20\ cm[/tex]
HELP ME WITH THIS PLEASEEEE
HELP RIGHT NOW AND ILL GIVE BRAINLY IF CORRECT
Answer:
-9
Step-by-step explanation:
[tex]3^{-36}[/tex]= [tex]27^{-12}[/tex]
Sum1 plz help with this
Answer:
ur answer is 8.06
Step-by-step explanation:
a² + b²= c²
4² + 7² = c²
16 + 49 = c²
65 sooo u do √65= 8.06
- Andrew gave half of his money to support a local charity. From what was left, he spent
$22.75 on a present for his sister. If he had $183.89 left over, how much did he have to
begin with?
I’m stuck on this question plz help
Answer:
3(n-8)
Step-by-step explanation:
Solve for x
1) 3x - 2 = 10
Answer:
Hi, there your answer is x=4
Step-by-step explanation:
Step 1: Add 2 to both sides.
3x−2+2=10+2
3x=12
Step 2: Divide both sides by 3.
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
x=4
How do you prove that lines are similar in triangles if it is parallel? (look at photo)
Answer:
they are similar cuz it resembles a "z" pattern. The angles are so the same.
a/2-8=-4
I have no idea how to do this!!
Answer:
a = 8
Step-by-step explanation:
a ÷ 2 - 8 + 8 = - 4 + 8
a ÷ 2 = 4
a ÷ 2 × 2 = 4 × 2
a = 8
Answer:
a = 8
Step-by-step explanation:
Given
[tex]\frac{a}{2}[/tex] - 8 = - 4 ( add 8 to both sides )
[tex]\frac{a}{2}[/tex] = 4 ( multiply both sides by 2 to clear the fraction )
a = 8
solve kx-3=5 for x
a
b
c
or
d
Answer:
x = 8/k
Step-by-step explanation:
kx - 3 = 5
Add 3 to each side
kx -3+3= 5+3
kx = 8
Divide by k
kx/k = 8/k
x = 8/k
Answer:
x = 8 / k
Step-by-step explanation:
Let's solve for x.
kx − 3 = 5
Step 1: Add 3 to both sides.
kx −3 +3 = 5 + 3
kx = 8
Step 2: Divide both sides by k.
kx / k = 8k
x = 8 / k
What is the median of this set of data?
362, 187, 211, 298, 331, 250, 347, 199
Answer:
187, 199, 211, 250, 298, 331, 347, 362
[tex]median = {( \frac{n}{2} + 1) }^{th} \: value \\ = ( \frac{8}{2} + 1) {}^{th} \: value \\ = {5}^{th} \: value \\ median = 298[/tex]
Answer:
The median is the middle number in a set of data when the data is arranged in ascending (this is more common) or descending order. If there are an even number of values in the data set, the median is the arithmetic mean of the two middle numbers. Thus, the median separates the lower and higher half of a data set.
Step-by-step explanation:
ascending order : 187, 199, 211, 250, 298, 331, 347, 362
answer: 250, 298 .
math. please help..with working
Answer:
[tex]\text{(C) }300\pi\:\mathrm{cm^3}[/tex]
Step-by-step explanation:
The volume of a cylinder with radius [tex]r[/tex] and height [tex]h[/tex] is given by [tex]V=r^2\pi \cdot h[/tex].
What we're given:
[tex]r[/tex] of 5 cm[tex]h[/tex] of 12 cmSubstituting given values, we get:
[tex]V=5^2\pi \cdot 12 =\boxed{300\pi\:\mathrm{cm^3}}[/tex]
Answer:
c
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]V=\pi r^2h[/tex]
We know r is 5, and h is 12.
Then we can just plug the values into the formula.
[tex]V=\pi (5)^2(12)\\ V=\pi (25)(12)\\\V=\pi (300)[/tex]
So the answer is c, 300pi
On a number line, graph all the temperature that are warmer than -2 degrees Celsius
(a) A temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.
(b)The inequality -2>-5 will be used to illustrate the connection between -2 and -5.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
On a number line, graph all the temperature that are warmer than -2°C.
(a)-2 °C temperature is warmer,As the temperature in the graph is decreasing,-2 °C temperature is warmer than -5 °C.
The inequality to express the relationship between -2 and -5 will be -2>-5.
Hence,temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.
To learn more about the graph, refer to the link;
https://brainly.com/question/14375099
#SPJ2
Is it a function yes or no. 1,2,3,4,5,6.
Natasha is 12 years old and her teacher is 36. Which ratio best repersents Natasha's age in 4 years and here teachers age in 4 years A. 1:3 B. 2:5 C. 3:10 D. 4:9
Round 187.890 to the nearest 10 000
Answer:
190,000
190,000
190,000
Step-by-step explanation:
190,000
190,000
Does f(x) = - 3x² + 6x - 4 have a maximum or
minimum? Find the value
Answer:
Maximum value.
it = -1.
Step-by-step explanation:
Maximum value as the coefficient of x^2 is negative.
To find this value we convert to vertex form:
y = -3x^2 + 6x - 4
y = -3(x^2 - 2x) - 4
y = -3[(x - 1)^2 - 1] - 4
y = -3(x - 1)^2 + 3 - 4
y = =3(x - 1)^2 - 1
Minimum value = -1.
Find the gradient of the line segment between the points (-5,2) and (4,3) give your answer in the simplest form
Answer: The gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].
Step-by-step explanation:
Formula for gradient of a line segment :
[tex]\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}[/tex]
Given points of the line segment: (-5,2) and (4,3)
[tex]\text{Gradient} =\dfrac{3-2}{4-(-5)}[/tex]
[tex]\text{Gradient} =\dfrac{1}{4+5)}[/tex]
[tex]\text{Gradient} =\dfrac{1}{9}[/tex]
Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].
can someone help me with part A please??
Answer:
h=4cm
Step-by-step explanation:
a) volume of a cuboid= LBH
cuboid a=(3x2x8)cm³
=48cm³
cuboidb
6cmx2cmxh=48cm³
12cm²xh=48cm³
12cm²h/12cm²=48cm³/12cm²
h=4cm
Solve -7u = -21 for u. u =
Answer: u = 3
Step-by-step explanation:
Divide each side by -7 to get u = 3.
Answer:
3
Step-by-step explanation:
-7u = -21
To solve the problem we need to isolate u. Since -7 is being multiplied by u, we could divide to get rid of it.
-7u
[tex] \frac{ - 7u}{ - 7} = - 21 \div - 7[/tex]
u= -21/-7
u = 3
Explain fully, please
Answer:
Step-by-step explanation:
formula of volume of cone is given so u simply substitute the values given and calculate.
Work is done for u .
Hope this helps u
no links please!!!!!!!!!ty!!!
Answer:
<2 = 75
Step-by-step explanation:
<1 and <2 form a straight line which means that they add to 180
<1+<2 =180
105+<2 =180
Subtract 105 from each side
<2 =180-105
<2 = 75
Mrs. Smith wants to purchase table pads for her circular dining room table. If the table has a diameter of 3 feet and the pads cost 50 cents per square foot, approximately how much will the table pads cost? Use 3.14 for
Answer:3.53
Step-by-step explanation:
I found it on a quiz game got it right
Determine the value of”k” when the lines y=k/3x+2 and y=1/4x+2 are perpendicular.
Answer:
k = -12
Step-by-step explanation:
When lines are perpendicular, their slopes are the opposite reciprocal of each other.
The opposite reciprocal of [tex]\frac{1}{4}[/tex] is -4
[tex]\frac{k}{3}=-4[/tex]
k = -12
4. Meg uses 1/2 of her supply of raisins
to make trail
mix and 3/10 of her supply of raisins to make
cookies. If Meg uses 8 pounds of raisins, how many
pounds of raising are in her supply
Answer:
10 pounds
Step-by-step explanation:
Let x represent the amount of raisins Meg have in her supply. She uses 1/2 of her supply of raisins to make trail mix and 3/10 of her supply of raisins to make cookies which gives a total of 8 pounds of raisins being used. To find the amount of raisins she has in her supply, we use the equation:
(1/2)x + (3/10)x = 8
multiply through by 20:
(1/2)x * 20 + (3/10)x * 20 = 8 * 20
10x + 6x = 160
16x = 160
Divide both sides of the equation by 16:
16x/16 = 160/16
x = 10 pounds
Therefore she have 10 pounds of raisins in her supply
A first number is 4 less than a second number. Four times the first number is 6 more than twice the second. Find the numbers
Answer:
first number = 7
second number = 11
Step-by-step explanation:
A first number is 4 less than a second number
f = s - 4
Four times the first number is 6 more than twice the second
4f = 2s + 6
-----------------------------
Substitute for f = s - 4
4(s - 4) = 2s + 6
distribute
4s - 16 = 2s + 6
subtract 2s from both sides
2s - 16 = 6
add 16 to both sides
2s = 22
Divide both sides by 2
s = 11
Substitute for s = 11 in
f = s - 4
f = 11 - 4
f = 7