Answer:
Step-by-step explanation:
3√2×8√17=24√(2×17)=24√(34)
it is an irrational number.
√34 can't be expressed in the form p/q where p and q are integers.
moreover
5²=25
6²=36
so √34 is between 5 and 6.
Is this quadratic? If so what form is it?
Answer:
Yes. Factored form.
Step-by-step explanation:
Answer:
yes, and it's in intercept form
Step-by-step explanation:
Hi there!
We are given the function f(x)=-2(x-4)(x+3)
A quadratic function is a function that has a degree of 2 (the highest exponent in the function is to the 2nd power)
There are 3 forms to write a quadratic function:
standard form, which is f(x)=ax²+bx+c, where a, b, and c are free coefficients (numbers)
vertex form, which is f(x)=a(x-h)²+k, where a is a free coefficient and (h,k) is the vertex
intercept form, which is f(x)=a(x-[tex]x_{1}[/tex])(x-[tex]x_{2}[/tex]), where a is a free coefficient and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are the x intercepts
You may notice that f(x)=-2(x-4)(x+3) is actually in intercept form; a is -2 and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are 4 and -3 respectively (remember: the formula for intercept form has -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex], but the x intercepts are [tex]x_{1}[/tex] and [tex]x_{2}[/tex]. Therefore, the x intercepts should be the opposites of -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex]).
If the formula is in intercept form, it should be quadratic.
However, if you want to be sure it's quadratic, you can expand the function.
f(x)=-2(x-4)(x+3)
first, multiply the binomials together using FOIL
(x-4)(x+3)
x²-x-12
now multiply x²-x-12 by -2
-2(x²-x-12)
do the distributive property
-2x²+2x+24
It's a quadratic function! The value of the highest exponent is 2 :)
Hope this helps!
Which graph represents an increasing function? (1 point) Four graphs of y against x are shown. The title for the first graph is Graph A, the title for the second graph is Graph B, the title for the third graph is Graph C, and the title for the fourth graph is Graph D. Graph A is a straight line joining the ordered pairs 0, 6 and 3, 0. Graph B is a straight line joining the points 3, 0 and 3, 5. Graph C is a straight line joining the points 0, 3 and 3, 3. Graph D is a straight line joining the points 0, 0 and 3,3.
Graph A
Graph B
Graph C
Graph D
Answer:
a
Step-by-step explanation:
aàaaaaaaaaaqaaaarsgbfyjvdujcgujhgkud parlo
Answer:
d
Step-by-step explanation:
If f(x)=x^2+2x+1
Find f^1 (x)
Step-by-step explanation:
the answer is in the above image
Assume that a 30-month CD purchased for $2500pays simple interest at an annual rate of 5.5%. How much total interest does it earn?
$ _____
What is the balance at maturity?
Answer:
Interest earned: 343.75
Balance at maturity: 2843.75
Step-by-step explanation:
simple interest formula
P(1+it)
interest earned:
(interest earned is the ending balance minus the beginning balance)
2500(1+.055*(30/12))-2500= 343.75
Balance at maturity
2500(1+.055*(30/12))= 2843.75
(another way to solve this part is to just add 343.75 (the interest earned) to the beginning balance)
three boards are placed end to end to make a walkway. the first board is 4 feet 5 inches long, the second is 6 feet 9 inches ling, and the third is 3 feet 11 inches long. how long is the walkway
Answer:
15 feet 1 inch
Step-by-step explanation:
Given :
Length of boards placed end to end :
Board 1 = 4 feet 5 inches
Board 2 = 6 feets 9 inches
Board 3 = 3 feets 11 inches
The length is the addition of the lengths of the 3 boards :
4 ft 5in + 6 ft 9 in + 3 ft 11 in
(4+6+3) ft + (5+9+11) in
13ft + (25in)
1 ft = 12 in
25 in = 2 ft 1 in
13 ft + 2ft 1 in
15 ft 1 in
Jose bought a plant. The height, h, of the plant is 2 feet. He noticed that every month, m,
the plant grows by 0.5 feet. What equation represents the height of the tree?
Answer:
the answer is h=0.5m+2 I think
when does two plus two equal five
What is the Greatest Common Factor of:
15x7y5+5x5y4−20x6y
Answer:
5x⁵yStep-by-step explanation:
15x⁷y⁵ + 5x⁵y⁴ - 20x⁶y = 5x⁵y*3x²y⁴ + 5x⁵y*y³ - 5x⁵y*4x = 5x⁵y(3x²y⁴ + y³ - 4x)Solve for x in the equation x squared + 2 x + 1 = 17.
Step-by-step explanation:
quadratic formula
-b+-√b^2
2a
-2+-√2^2-4×1×-16
2×1
-2+-√68
2
either
x= 3.125
or
x= -5.125
How many feet are in 18 yards?
6 feet
30 feet
54 feet
216 feet
Answer:
54 is the answer
have a great dayyyy
Answer:
there are 64 feet in18 yards
Step-by-step explanation:
1 yard equals 3 feet
it takes jeremiah a total of 1 1/6 hours to ride his bike to and from work each day. if jeremah works 5 day a week for 4 weeks, how many hours does jeremiah spend riding his bike to and from work
The following table shows the seven flowers a flower shop sells and the number of each it sold last year. How many flowers did the shop sell last year?
Flower
Number Sold
Roses
2326
Daisies
1895
Orchids
469
Lilies
972
Daffodils
444
Carnations
812
Irises
95
a.
7868 flowers
c.
3213 flowers
b.
4687 flowers
d.
7013 flowers
Answer:
just add em
Step-by-step explanation:
so I already classified it as a square but I need to solve for x and y please help
Could you show the options we can choose from?
Answer:
x = 2
y = 1
Step-by-step explanation:
Compare one of the dimensions with the same variable with another.
5x - 4 = 3x
5(2) - 4 = 3(2)
10 - 4 = 6
6 = 6
Statement: True
2y + 4 = 5y + 1
2(1) + 4 = 5(1) + 1
2 + 4 = 5 + 1
6 = 6
Answers: x = 2 y = 1
Let W be part of the solid sphere of radius 4, centered at the origin, that lies above the plane z = 2. Set up an integral in cylindrical coordinates to find the volume of the region. Do NOT actually integrate.
Answer:
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Step-by-step explanation:
Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.
So, r = √(R² - z²)
r = √(4² - z²)
r = √(16 - z²)
Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4
Our volume integral in cylindrical coordinates is thus
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Answer:
[tex]\displaystyle V = \int\limits^{2 \pi}_{0} \int\limits^{2\sqrt{3}}_{0} \int\limits^{\sqrt{16 - r^2}}_2 {r} \, dz \, dr \, d\theta[/tex]
General Formulas and Concepts:
Multivariable Calculus
Cylindrical Coordinate Conversions:
[tex]\displaystyle x = r \cos \theta[/tex][tex]\displaystyle y = r \sin \theta[/tex][tex]\displaystyle z = z[/tex][tex]\displaystyle r^2 = x^2 + y^2[/tex][tex]\displaystyle \tan \theta = \frac{y}{x}[/tex]Volume Formula [Cylindrical Coordinates]:
[tex]\displaystyle V = \iiint_T \, dV \rightarrow V = \iiint_T {r} \, dz \, dr \, d\theta[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
Solid sphere w/ radius 4 centered at (0, 0, 0) → x² + y² + z² = 4²
Plane z = 2
Step 2: Find Volume Pt. 1
Find bounds of z.
[Sphere] Substitute in plane z:∴ 0 ≤ r ≤ 2√3
Step 2: Find Volume Pt. 2
[Sphere] Substitute in plane z:∴ 0 ≤ θ ≤ 2π
Step 3: Find Volume Pt. 3
[Sphere] Substitute in cylindrical conversions:∴ 2 ≤ z ≤ √(16 - r²)
Step 4: Find Volume Pt. 4
Substitute in variables [Volume Formula - Cylindrical Coordinates]:∴ the volume of the region is found with the integral above.
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Learn more about multivariable calculus: https://brainly.com/question/17203772
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Topic: Multivariable Calculus
Unit: Triple Integral Applications
Find the area of the triangle.
24 in.
32 in.
Answer:
A = 384 inches^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the length of the base and h is the height
A = 1/2 ( 32) *(24)
A = 384 inches^2
Answer:
The area of triangle is 384 inches².
Step-by-step explanation:
Given : -Base of triangle = 24 inchesHeight of triangle = 32 inches To Find :-Area of triangleFormula Used :-Area of triangle = 1/2 × base × height
Solution :-Using Formula
Area of triangle = 1/2 × base × height
substitute the values into the formula
Area of triangle = 1/2 × 32 inches × 24 inches.
multiply,
Area of triangle = 1/2 × 768 inches ²
Divide, we get
Area of triangle = 384 inches ²
Therefore, The area of triangle is 384 inches².
Ricardo has a wooden board that measures 5 feet in length. How many 1/4 foot long pieces can Ricardo cut from the board
Answer:
20 pieces of wood
Step-by-step explanation:
5 divided by 1/4: 20
another way to look at it is if there are 4 of these pieces in a foot, and there are 5 feet, 4 times 5 is also 20.
which expression is equivalent to the given expression?
Answer:
A.
Step-by-step explanation:
The a^3 would cancel out, currently leaving just b^5 on the top and ab on the bottom. The b would also cancel out, finally leaving just b^4/a. Therefore A is the answer equivalent to the original expression.
Let g(x) be the indicated transformation of f(x). Write the rule for g(x) f(x)=3x + 1: translation 2 units right
Answer:
3x +3
Step-by-step explanation:
3x + 1 + 2units(on the x axis)= 3x +3
Translate the sentence into an equation.
Two more than the quotient of a number and 5 is equal to 4.
Use the variable Y for the unknown number.
Answer:
Step-by-step explanation:
y/5 That's your quotient
y/5 + 2 That's the quotient with 2 added on.
y/5 + 2 = 4 And that's your answer.
Always break the statements into the smallest possible steps that you can. Notice that I broke it down to 3 parts that are not quite equal in length.
The red line below is parallel to which of the following?
Answer:
option A
Step-by-step explanation:
X- axis
A . the x-axis
Step-by-step explanation:
The lines never meet
Can someone please help me? I'm stuck.
Answer:
Sure i can help you
Step-by-step explanation:
Answer:
Sure! What’s the question?
Step-by-step explanation:
Jane was baking cookies. She needed 1/3 cup sugar and 1 2/4 cups flour. How much more flour does she need than sugar?
(Common core)
Answer:
1 and 1/6 cups more
Step-by-step explanation:
1/3 cup sugar
*1 2/4 cups flour = 6/4 cups flour
*assuming it’s 1 and 2/4 and not 12/4 =3
6/4 - 1/3 = (18-4)/ 12 = 14/ 12 = 1 and 1/6
Which binomial is a factor of 9x^2+ 24xy + 16y^2
From the observation deck of a skyscraper, Christian measures a 51^{\circ}
∘
angle of depression to a ship in the harbor below. If the observation deck is 1129 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.
Answer:
1394 feets
Step-by-step explanation:
The solution triangle is attached below :
The horizontal distabce from the base is denoted as d :
Using trigonometry, we can obtain d, thus ;
Tan θ = opposite / Adjacent
Tan 51 = d / 1129
d = tan 51 * 1129
d = 1394.1988 feets
d = 1394 feets
CAN SOMEONE HELP ME PLS
Following the car in front of you at a closer distance _____.
A. Gets you to your location faster
B. Doesn’t get you to your location faster
C. Is a safer way to drive
D.saves you some gas
Step-by-step explanation:
the answer is b, it doesnt get you to your location faster
Answer: Option A will be the correct answer
Step By Step Explanation: Because Main thing is its matching to the sentence
Please help it’s summer school and i need serious help
Answer:
B
Step-by-step explanation:
solve the literal equation for C. -3x+2c=-3
Step-by-step explanation:
I'm sorry I can't answer that but I know something so you can answer that. search Chrome quickmath all your problems, equations and more can be solved
Answer:
c = 3/2x + −3/2
Step-by-step explanation:
Let's solve for c
-3x+2c=-3
Step 1: Add 3x to both sides.
2c −3x + 3x = −3 + 3x
2c = 3x −3
Step 2: Divide both sides by 2.
2c = 3x−3
2 2
c = 3/2x + −3/2
Answer:
c = 3/2x + −3/2
What is the solution to flog4(x+8) - 427
Answer:
4270
Step-by-step explanation:
Help i need your math skill
It’s hard
Answer:
1/128th
Step-by-step explanation:
I am not completely sure. Sorry!
Good Luck!
Hope this helps!
Answer:
7cups
Step-by-step explanation:
56fl oz is equal to 7 cups
