Answer:
[tex] \frac{5}{ {x}^{2} + 7x - 30} [/tex]
Step-by-step explanation:
We can write a rational function.
We need to make sure our denominator both have zeroes at 3 and 10.
Set an equation equal to zero to find the function
[tex]0 - x = 3[/tex]
[tex]0 - x = - 10[/tex]
[tex]0 - ( - 3) = = 3[/tex]
[tex]0 - 10 = 10[/tex]
So we would represent that's as
[tex]x - 3[/tex]
and
[tex]x + 10[/tex]
Multiply the two binomial together.
[tex](x - 3)(x + 10) = {x}^{2} + 7x - 30[/tex]
Let our numbetator be any interger.
Use any equation as long as the quadratic is the denominator and the interger is the numerator.
[tex] \frac{5}{ {x}^{2} + 7x - 30 } [/tex]
can someone pls help me with this question
Answer:
6
Step-by-step explanation:
The x intercept is the value of x when y equals zero. The table tells us that when x goes up by one, y goes down by two.
Knowing this, all we have to do is increase x by 1 and decrease y by two until y is zero, and we can look and see what x is.
I also made a visual in the file below if this is confusing
How many flowers, spaced every 4 in., are needed to surround a circular garden with a 200-ft radius? Use 3.14 for π.
Find the circumference of the circle:
Circumference = 2 x r x pi
Circumference = 2 x 200 x 3.14
Circumference = 1,256 feet.
4 inches/ 12 inches per foot = 0.333 ft.
Divide the circumference by the spacing:
1255/0.333 = 3,768
You will need 3,768 flowers
two consecutive numbers if the smallest is 11
Let two consecutive numbers are : x,x+1
Sum of these numbers is -11, then
x+x+1=−11
⇒2x=−11−1=−12
⇒x=−6
and other consecutive number is x+1=−6+1=−5
The answer is -6 and −5
Joe is wrapping a birthday present in a box that is 21 inches long, 14.5 inches wide, and 9 inches high. All sides of the box must be covered. What is the surface area that must be covered by wrapping paper? *
Answer:
2740.5
Step-by-step explanation:
This is what I got why I did was multipley them
Answer:
2740.5
Step-by-step explanation:
This is what I got when I multipled
A rectangular piece of fabric was used to make a banner. It measured 12 feet long and had an area of 24 square feet. What is its perimeter?
Answer:
the perimeter is 28
Step-by-step explanation:
2+2=4
12+12=24
24+4=28
Answer:
Perimeter = 28 feet
Step-by-step explanation:
The formula to find the area of a rectangle is Length * width and we already have one dimension here, so we simply plug it in and make an equation to the find the unknown measurement
12 * d = 24
d = 24/12
d = 2
So the missing dimension is 2 feet
Now we simply find the perimeter of the rectangle using the formula
2 ( length + width)
= 2 (12 + 2 )
= 2 ( 14 )
= 28 feet
(WIll mark as brainliest) Which one of these graphs is a function and why and why not?
2 students want pancakes and 9 students want waffles. What is the ratio of the number of
students who want pancakes to the number of students who want waffles?
Answer:
2:9
Step-by-step explanation:
To create the ratio, put the number of students that want pancakes to the number that wants waffles.
Since 2 want pancakes and 9 want waffles, the ratio will be 2:9
So, the answer is 2:9
Answer:
2:9
Step-by-step explanation:
beacause if every 2 students want pancakes and 9 want waffles
Please need help nowwwwww helpppppp
What is the value of the expression (36 1/2)² ?
Answer:
1332 1/4
Step-by-step explanation:
(36 1/2)² = (73/2)² = (73 * 73)/(2 * 2) = 5329/4 = 1332 1/4
Use the distributive property to expand (simplify): 5(12mu - 7v)
Answer:
60mu - 35vStep-by-step explanation:
You disturbute 5 into the 12 and add mu and your answer and distribute 5 into the 7 and keep the v with your answer.Hopes this works.[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\textsf{The \textbf{distributive property} states the following:}[/tex]
[tex].\qquad\bullet\sf{a(b+c)=ab+ac}[/tex]
[tex]\textsf{So we take a number or a variable \textbf{a} and distribute it by multiplying it times b and c}[/tex]
[tex]\textsf{Now we simplify.}[/tex]
[tex]\textsf{5(12mu-7v)=5*12mu-5*7v=60mu-35v}[/tex]
[tex]\Large\textsf{\textbf{Answer: 60mu-35v}}[/tex]
[tex]\Large\overbrace{\underbrace{\boldsymbol{Reflection - RoSe}}}^\star_\star[/tex]
What are the steps to solving this?
Answer:
m = 6[tex]\sqrt{3}[/tex] , n = 6
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{m}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2m = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
m = 6[tex]\sqrt{3}[/tex]
and
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{n}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2n = 12 ( divide both sides by 2 )
n = 6
What is the area of the shaded region in the given circle in terms of pi and in simplest form?
A) (120pi + 6 sqrt 3) m^2
B) (96pi + 36 sqrt 3) m^2
C) (120pi + 36 sqrt 3) m^2
D) (96pi + 6 sqrt 3) m^2
Answer:(120pi +6 square root 3) msquared
Step-by-step explanation:
heeeeeeeeeeeeeeeelp solve the following Q
Answer:
[tex]\huge\boxed{\sf \frac{y-5}{y-3} }[/tex]
Step-by-step explanation:
Solving it by mid-term break method:
[tex]\displaystyle =\frac{y^2-3y-40}{y^2-11y+24} \\\\= \frac{y^2 -8y+5y-40}{y^2-3y-8y+24} \\\\= \frac{y(y-8)+5(y-8)}{y(y-3)-8(y-3)} \\\\Take \ (y-8) \ and \ (y-3)\ common\\\\= \frac{(y-8)(y-5)}{(y-8)(y-3)} \\\\= \frac{y-5}{y-3} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
[tex]\frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]
Step-by-step explanation:
We'll first factorize the quadratic equations by finding their zero-points:
[tex]y^2 - 3y - 40 = 0\\\Delta = (-3)^2 - 4\cdot 1 \cdot -40 = 9 + 160 = 169\\\sqrt{\Delta} = 13\\y = \frac{3 \pm 13}{2}\\y_1 = 8\\y_2 = -5\\y^2 - 3y - 40 = (y - 8)(y + 5)\\~\\y^2 - 11y + 24 = 0\\\Delta = (-11)^2 - 4\cdot 1\cdot 24 = 121 - 96 = 25\\\sqrt{\Delta}} = 5\\y = \frac{11 \pm 5}{2}\\y_1 = 8\\y_2 = 3\\y^2 - 11y + 24 = (y - 8)(y - 3)[/tex]
Now we can use this to simplify the whole division:
[tex]\frac{y^2-3y-40}{y^2-11y+24} = \frac{(y-8)(y+5)}{(y-8)(y-3)} = \frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]
Simplify the mathematical expression below.
Answer:
Step-by-step explanation:
A ) 90
B ) 165
C ) 270
D ) 75
Answer:
165-90=75
item D
Answer:
Step-by-step explanation:
165-90=75
According to a soccer coach, 75% of soccer players
have had at least one sprained ankle. An athletic
trainer would like to investigate this claim. To do so,
the trainer selects a random sample of 125 college
soccer players from across the country and finds that
99 of them have had at least one sprained ankle. The
=p trainer would like to know if the data provide
convincing evidence that the true proportion of college
soccer players who have had at least one sprained
ankle is greater than 75%.
p=0.80
Answer:
On Edge 2021,,,,this would increase the power of the test
Answer:
p= 0.85
Step-by-step explanation:
Right on edge.
Power increases with null hypothesis.
If a fair coin is tossed 6 times, what is the probability, to the nearest
thousandth, of getting exactly o heads?
Answer:
0
Step-by-step explanation:
the probability of getting 0 heads is not possible as either 1 side has to be a head or a tail
It cannot be none
Therefore...Probability is 0 of getting 0 heads
plz mark as brainliest
thanks
A single card is drawn from a standard 52 card deck.
Work out the probability of choosing the "5 of diamonds".
Give your answer
Answer:
1/52
Explanation:
One endpoint of a line segment has coordinates represented by (x + 2, 3y). The midpoint of the line segment is (6, -3). How are the coordinates of the other endpoint expressed in terms of x and y? O (10 – r, y) O (10 - 1,-6-y) (12 - 2,6 - 3y) (14 – 1,3 - y) 1 2 3 4 5 Next
no link! Just pls answer
✧･ﾟ: *✧･ﾟ:* Answer: *:･ﾟ✧*:･ﾟ✧
✅ A. 120cm ^3
I WOULD APPRICIATE BRAINLIEST!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
Answer:
3769.91
PS: it is probably wrong!
please help!!
thank you !!
Remember, triangles add up to 180 degrees.
180-(96+67)=17.
A is 17 degrees.
Hope this helped!
What is the area of the triangle given below?
2
11
O A. 11 sq. units
B. 13 sq. units
C. 8 sq. units
O D. 22 sq. units
Answer:
Area = 11 sq. unitsStep-by-step explanation:
Base = 11 units
height = 2 units
Area = 1/2 × base × height
Area = 1/2 × 11 × 2
Area = 11 sq. units
11 square units is the area of the triangle , option A is correct.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The formula to find area of triangle is half times of base and height
Given Base is 11 units
height is 2 units
Area = 1/2 × base × height
Plug in the values of base and height
Area = 1/2 × 11 × 2
Area = 11 sq. units
Hence, 11 square units is the area of the triangle , option A is correct.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ5
A triangle has side lengths of 17 inches, 19 inches, and 10 inches. What kind of triangle is it?
Answer:
Scalene triangle
Step-by-step explanation:
a scalene triangle has 3 uneven sides
Brook makes this conjecture: Because the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal.
Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as
[tex]\Delta Sector=\dfrac{1}{2}r^2\theta[/tex]
Whereas the area of a circle for a radius r is given as
[tex]\Delta Circle=\pi r^2[/tex]
Now the ratio is given as
[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}[/tex]
Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to
[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }[/tex]
Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.
45 POINTS!!
1. A quadratic function is represented by the graph.
(a) What is the equation of the axis of symmetry of the function?
(b) What are the coordinates of the vertex of the function?
(c) What are the coordinates of the x¬-intercepts of the function?
(d) What are the coordinates of the y-intercept of the function?
Also put a answer that makes sense, not just to get the points.
Answer:
c
Step-by-step explanation:
What is the unit rate? 52.5/2.5
Answer:
21
Step-by-step explanation:
Please help!! CORRECT ANSWERS ONLY! Please show your work!
Answer:
Y=-9
W=9
Step-by-step explanation:
2y/6+3=0
-3=-3
6/1 *2y/6=-3*6/1
2y=-18
2y/2=-18/2
Y=-9
The rest of the work is in the pic
A sequence defined by the rule f(n)=4f(n-1)+2.if f(1)=3 then find f(4)=?
Answer:
f(4) = 6
Step-by-step explanation:
Given the rule f(n) = 4f (n - 1) + 2 where f(1) = 3, f(n) is just a fancy way to name the variable y. As you've seen before, there are equations that are usually y equals x and something. For example:
y = mx + b
is the same thing as
f(n) = y = mn + b.
It might be that you have multiple of the same equation where f(n) and f(x) have two different outcomes.
The f(n) part (bolded) is the "x variable" in this equation. So in f(1), n = 1.
f(n) = 4f (n - 1) + 2
f(n) = (4fn - 4f) + 2
f(n) = (n) + 2
f(1) = 1 +2
3 = 3
Now do the same thing for f(4):
f(n) = 4f (n - 1) + 2
f(n) = (4fn - 4f) + 2
f(n) = (n) + 2
f(4) = 4 + 2
f(4) = 6
Need help finding the Area for both of these shapes.
Answer:
Shape 1 :36
Shape 2 : 18
Step-by-step explanation:
Shape 1 : So lets break this into 3 different shapes 2 triangle and 1 rectangle. trangle number one is 3x6÷2=9 since both the trangles are the same its 9+9=18. The rectangle is 3x6 which is 18 18+18=36
__________________________________________________________
Shape 2: Lets break it up the same way we did to shape 1, first triangle is 3x5÷2 which is 7.5 since both triangle is the same its 7.5+7.5=15. The ractangle is 3x1 which is 3 so 15+3=18
Hope this helped! :)
Define perfection.
[tex] \\ \\ [/tex]
➔No links
➔Ni Irrelevant Answer
TY!
Answer:
Hey mate.....
Step-by-step explanation:
Perfection : Something that is faultless and has no single mistake or issue.....Hope it helps!
Brainliest pls....
Follow me! ;)
Step-by-step explanation:
The quality or state of being perfect is known as perfection .
hope it is helpful to you