Answer:
its letter a
Step-by-step explanation:
I hope you help
How would I do this??
Part 1
[tex]\left(\frac{g}{h}\right)(x) = \frac{g(x)}{h(x)}\\\\\left(\frac{g}{h}\right)(x) = \frac{3x-5}{-2x^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{3(3)-5}{-2(3)^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{4}{-11}\\\\\left(\frac{g}{h}\right)(3) = -\frac{4}{11}\\\\[/tex]
Answer: -4/11
====================================================
Part 2
Set the denominator function equal to zero and solve for x to find which values to kick out of the domain.
[tex]h(x) = 0\\\\-2x^2+7 = 0\\\\7 = 2x^2\\\\2x^2 = 7\\\\x^2 = 7/2\\\\x^2 = 3.5\\\\x = \sqrt{3.5} \ \text{ or } x = -\sqrt{3.5}\\\\[/tex]
This shows that if x is equal to either of those values, then the denominator h(x) will be zero. These are the values to kick out of the domain to prevent a division by zero error. Any other value of x is valid in the domain.
Answer: [tex]x = \sqrt{3.5} \text{ and } x = -\sqrt{3.5}\\\\[/tex]
Determine, to one decimal place, the length, width & height of the rectangular prism that would have the greatest volume, with a surface area of 200 cm^2.
Answer:
The length = The width = The height ≈ 5.8 cm
Step-by-step explanation:
The volume of a rectangular pyramid, V = l × w × h
The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200
∴ l × h + w × h + l × w = 200/2 = 100
We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;
At maximum volume, l = w = h
∴ l × h + w × h + l × w = 3·l² = 100
l² = 100/3
l = 10/√3
Therefore, the volume, v = l³ = (10/√3)³
The length = The width = The height = 10/√3 cm ≈ 5.8 cm
PLEASE HELP!!!!!!!
Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2
A. 3x and -2x
B. 3x, -2x and 5x2
C. 3x, 3xy, -2x and 5y
D. All terms are alike.
Answer:
C
Step-by-step explanation:
traders fix the price of cosmetic items 30% above the cost price when he sold an item at 25% discount there was a loss of Rs 15 find the cost price and marked price of the item
Cost price is Rs600 and marked price is Rs780.
Must click thanks and mark brainliest
The data set represents the total number of pencils each student in a class needs to sharpen.
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
Which box plot correctly represents the data?
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 3.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.
Given:
The data set is:
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
To find:
The correct statement that represents the box plot of the data correctly.
Solution:
We have,
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
Divide the data in 2 equal parts.
(0, 1, 1, 1, 2), 3, (4, 4, 6, 6, 9)
Divide each parenthesis in 2 equal parts.
(0, 1), 1, (1, 2), 3, (4, 4), 6, (6, 9)
Here,
Minimum value = 0
First quartile = 1
Median = 3
Third quartile = 6
Maximum value = 9
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.
Therefore, the correct option is D.
Answer:
its d
Step-by-step explanation: my yt Tray Clayps
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each set of vertices with the type of quadrilateral they form.
I'm sorry but there's not enough info
Step-by-step explanation:
Answer:
The triangle with vertices A (2 , 0) , B (3 , 2) , C (5 , 1) is isosceles right Δ
The triangle with vertices A (-3 , 1) , B (-3 , 4) , C (-1 , 1) is right Δ
The triangle with vertices A (-5 , 2) , B (-4 , 4) , C (-2 , 2) is acute scalene Δ
The triangle with vertices A (-4 , 2) , B (-2 , 4) , C (-1 , 4) is obtuse scalene Δ
The circumference of a circle is 14 meters. Which of the following represents the area of the circle
Answer:
A = 49/pi
Step-by-step explanation:
C = 2 * pi *r
14 = 2 * pi *r
Divide each side by 2 pi
14/2pi = r
7/pi = r
The area is given by
A = pi r^2
A = pi ( 7/ pi)^2
A = pi * 49 / pi^2
A = 49/pi
Answer:
[tex]area = {15.61m}^{2} [/tex]
explanation is attached to the picture
Hope this helps you
Solve for x: -5 < 8x + 11 < 19
Answer:
-2<x<1
Step-by-step explanation:
-5 < 8x + 11 < 19
Subtract 11 from all sides
-5-11 < 8x + 11-11 < 19-11
-16 < 8x<8
Divide by 8
-16/8 < 8x/8 <8/8
-2<x<1
equivalent expression: 3 + 4(2z - 1)
Answer:
8z - 1
Step-by-step explanation:
Given
3 + 4(2z - 1) ← multiply each term in the parenthesis by 4
= 3 + 8z - 4 ← collect like terms
= 8z - 1
Answer:
-1 + 8z
Step-by-step explanation:
First use the distributive property of multiplication (Just multiply 4 with all numbers in the parenthesis):
3 + 4(2z - 1)
3 + 8z - 4
Group like terms:
3 + 8z - 4
-1 + 8z
The answer is -1 + 8z
Hope this helped.
Find the area of this circle. Use 3 for .
A = r2
12 cm
[?] cm2
Answer:
452.16 cm²
Step-by-step explanation:
Given :-
Radius = 12cm .To find :-
Area of circle .Solution :-
As we know that ,
A = πr² A = 3.14 * (12 cm)² A = 3.14 * 144cm² A = 452.16 cm²Step-by-step explanation:
[tex]area = \pi {r}^{2} \\ = \pi \times {12}^{2} \\ = \pi \times 144 \\ = 3.14 \times 144 \\ = 452.16 {cm}^{2} \\ thank \: you[/tex]
If a wheel has a radius of 5cm
how much is one rotation of the wheel
How many rotations can the wheel do within a distance of 50km
Answer:
circumference = 2*PI*radius
circumference = 2 * PI * 5 cm
circumference = 31.4159265358979 cm
50 km = 500,000 centimeters
rotations = 500,000 / 31.4159 cm
15,915.51 rotations
Step-by-step explanation:
Rob cuts a circular hole out of a rectangular piece of paper. The paper measures 20 centimeters by 30 centimeters. The hole is 10 centimeters in diameter. How much of the piece of paper, in square centimeters, is left over after the hole is cut out?
Answer:
521.25
Step-by-step explanation:
the circle is 78.75 in area and the square is 600 so 600- 78.75 = 521.25
HELP ASAP LIKE PLEASE
Answer: (3b+2)(b+2)
Step-by-step explanation:
If I start a road trip with 10,425 miles on my auto meter and I end it with 23,840 miles showing how many miles was my trip
Answer:
13,415 miles
Step-by-step explanation:
Final position - initial position = Miles traveled:
23,840 miles - 10,425 miles = 13,415 miles
Can someone please help me with these 4 questions?
log 55 is the power to which ---- must be raised in order to produce a value of 55
Answer:
10
Step-by-step explanation:
just took the quiz
pls pls pls help meeeeee
Answer:
i think you just extend the coordinates to the side, except the right point, by 3, and then the bottom ones go down by 3, and the top one goes up by 3
Step-by-step explanation:
Convert 5π∕6 radians to degrees. Question 1 options: A) 25° B) 150° C) 150π° D) 1080°
Step-by-step explanation:
Hi there!
Given;
= 5(π\6)
We have;
π = 180°
Keeping value of π in the question;
= 5(180°/6)
= 5*30°
= 150°
Therefore, answer is option B.
Hope it helps!
Jim removed 27 gallons of water from a rainwater storage tank. There are 59 gallons left in the tank. What equation can Jim use to find how much water was in the tank earlier? Use x to represent the amount of water originally in the tank.
Answer: X = 86 gallons
Step-by-step explanation:
X-27=59
X=59+27
Maya just bought a refrigerator for $642. She paid $160.40 in a down payment and will pay the rest in 4 equal installments. How much does she need to pay for each installment?
Answer:
120.40 per payment
Step-by-step explanation:
Subtract the down payment
642 - 160.40
481.60
Divide this by 4
481.60 / 4
120.40
which choice is equivalent to the expression below? 7x√2 - 4√2 + x√2
A. 6x√2 - 3√2
B. 5x^2√2
C. 3x√2
D. 8x√2 - 4√2
Answer:
D
Step-by-step explanation:
[tex]8x \sqrt{2} - 4 \sqrt{2} [/tex]
ncert maths class 10 solution 5.1 4
Can you attach a picture to your question?
I would love to help you out.
Answer:
Step-by-step explanation:
NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1
where is question ??
express the ratio 7day to 6weeks as a decimal fraction
Answer:
6 weeks=6*7 days=42days
7/42 =1/6 =0.16667
OR
7 days=1 week
therefore 1/6=0.16667
Note that both must be in the same unit.
ASAP !
Determine the value of x.
Question 1 options:
A: x = 2
B: x = 2.5
C: x = 1
D: x = 2.9
Answer:
x=2
Step-by-step explanation:
We can use the Pythagorean theorem since this makes a right triangle
a^2+b^2 = c^2
The radius is 1.5
1.5^2 + x^2 = (1+1.5)^2
1.5^2 +x^2 = 2.5^2
2.25+x^2=6.25
Subtract 2.25 from each side
x^2 = 4
Taking the square root of each side
x= 2
Answer:A
Step-by-step explanation:Took quiz
Find C to two decimal places and find the measurement of angle be use your calculator
Let's solve
P=8B=5Using Pythagorean theorem
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto c^2=8^2+5^2[/tex]
[tex]\\ \sf\longmapsto c^2=64+25[/tex]
[tex]\\ \sf\longmapsto c^2=89[/tex]
[tex]\\ \sf\longmapsto c=\sqrt{89}[/tex]
[tex]\\ \sf\longmapsto c\approx 9.22[/tex]
for the function g(x)=3-8(1/4)^2-x
a) State the y-intercept
b) State the equation of the horizontal asymptote
c) State whether the function is increasing or decreasing.
d) State the domain and range
e) Sketch the graph
Could anyone help?
Using function concepts, it is found that:
a) The y-intercept is y = 2.5.b) The horizontal asymptote is x = 3.c) The function is decreasing.d) The domain is [tex](-\infty,\infty)[/tex] and the range is [tex](-\infty,3)[/tex].e) The graph is given at the end of the answer.------------------------------------
The given function is:
[tex]g(x) = 3 - 8\left(\frac{1}{4}\right)^{2-x}[/tex]
------------------------------------
Question a:
The y-intercept is g(0), thus:
[tex]g(0) = 3 - 8\left(\frac{1}{4}\right)^{2-0} = 3 - 8\left(\frac{1}{4}\right)^{2} = 3 - \frac{8}{16} = 3 - 0.5 = 2.5[/tex]
The y-intercept is y = 2.5.
------------------------------------
Question b:
The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.
[tex]\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2+\infty} = 3 - 8\left(\frac{1}{4}\right)^{\infty} = 3 - 8\frac{1^{\infty}}{4^{\infty}} = 3 -0 = 3[/tex]
--------------------------------------------------
[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2-\infty} = 3 - 8\left(\frac{1}{4}\right)^{-\infty} = 3 - 8\times 4^{\infty} = 3 - \infty = -\infty[/tex]
Thus, the horizontal asymptote is x = 3.
--------------------------------------------------
Question c:
The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.
--------------------------------------------------
Question d:
Exponential function has no restrictions in the domain, so it is all real values, that is [tex](-\infty,\infty)[/tex].From the limits in item c, the range is: [tex](-\infty,3)[/tex]--------------------------------------------------
The sketching of the graph is given appended at the end of this answer.
A similar problem is given at https://brainly.com/question/16533631
please answer this question!!
Answer:
a
Step-by-step explanation:
all angles of an equilaterall triangle are equal therefore 180÷3 = 60
Help anyone can help me do the question,I will mark brainlest.
Answer:
Step-by-step explanation:
S=pi*R^2=(area of the sector)*(360/angle of AOB)
so 22/7*9^2=99*360/angle of AOB
-> AOB=140
perimeter of circle: 2*pi*R
permiter of sector : 2*pi*140/360*R+ 2R=22+9*2=40
Apples are cut into 8 pieces to be shared among some children. Twenty-two bags of seven apples are used. How many pieces of apple are cut?
Answer: 1232 pieces
Work Shown:
1 bag = 7 apples
22 bags = 22*7 = 154 apples
So we have 154 apples to work with in total.
Each of those apples is cut into 8 pieces, giving us 8*154 = 1232 pieces
We can write it as one single calculation to say 22*7*8 = 1232
convert 5.875baae 10 to base 2
