32 oz = _______ lb
Please answer the question
Answer:
2 lb
Step-by-step explanation:
1lb = 16 pounds.
vertex form and standard form
Given:
The vertex of a quadratic function is (-5,-1) and it passes through the point (-2,2).
To find:
The vertex and standard form of the quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]f(x)=a(x-h)^2+k[/tex]
Where, a is a constant, (h,k) is vertex.
The vertex of a quadratic function is (-5,-1). It means [tex]h=-5,k=-1[/tex].
[tex]f(x)=a(x-(-5))^2+(-1)[/tex]
[tex]f(x)=a(x+5)^2-1[/tex] ...(i)
The quadratic function passes through the point (-2,2). Putting [tex]x=-2,f(x)=2[/tex] in (i), we get
[tex]2=a(-2+5)^2-1[/tex]
[tex]2+1=a(3)^2[/tex]
[tex]3=9a[/tex]
[tex]\dfrac{1}{3}=a[/tex]
Putting [tex]a=\dfrac{1}{3}[/tex] in (i), we get
[tex]f(x)=\dfrac{1}{3}(x+5)^2-1[/tex]
Therefore, the vertex for of the quadratic function is [tex]f(x)=\dfrac{1}{3}(x+5)^2-1[/tex].
The standard form of a quadratic function is:
[tex]f(x)=Ax^2+Bx+C[/tex]
We have,
[tex]f(x)=\dfrac{1}{3}(x+5)^2-1[/tex]
[tex]f(x)=\dfrac{1}{3}(x^2+10x+25)-1[/tex]
[tex]f(x)=\dfrac{1}{3}x^2+\dfrac{10}{3}x+\dfrac{25}{3}-1[/tex]
[tex]f(x)=\dfrac{1}{3}x^2+\dfrac{10}{3}x+\dfrac{22}{3}[/tex]
Therefore, the standard form of a quadratic function is [tex]f(x)=\dfrac{1}{3}x^2+\dfrac{10}{3}x+\dfrac{22}{3}[/tex].
Translate the description as an algebraic expression:
the sum of 11 cubed and a
Answer:
a + [tex]11^{3}[/tex]
or
a + 1331
Step-by-step explanation:
The sum of 11 cubed and a
[tex]11^{3}[/tex] + a
or
1331 + a
Please I need help give you brainlist rate you heart you lol
I
Answer:
Y=1.50
Step-by-step explanation:
For the graph chart the x as the table says and the y as 1.50 for one then keep adding 1.50 for the others
1) 4x1.50= 6.00
2)5.00/1.50= 3 and 1/3
Consider the expression 9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2 select the equivalent expression in standerd form
Answer:
[tex]27a^6b^8 + 63a^5b^8 - 25a^8b^8[/tex]
Step-by-step explanation:
Given
[tex]9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2[/tex]
Required
Simplify
[tex]9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2[/tex]
Open both brackets
[tex]9a^3b^6*3a^3b^2+9a^3b^6*7a^2b^2-5a^4b^4*5a^4b^4[/tex]
This gives
[tex]27a^6b^8 + 63a^5b^8 - 25a^8b^8[/tex]
Find the area of a circle with a diameter of 12 cm.
Use π = 3.14 in your calculations.
A
37.68 cm²
B
113.04 cm²
C
144 cm²
D
452.16 cm²
Answer:
B
Step-by-step explanation:
The formula for area for a circle is [tex]a = \pi[/tex] x r^2
Please help, I’ll mark you as brainliest!!!!!
Answer:c
Step-by-step explanation:
PLS HURRY AND HELP
Darren had 3 apples represented by the variable (a) . He went to the store and bought 6 more apples to make a pie . Then his little brother Keith came into the kitchen and ate 2 of the apples. Write an expression to show how many Derran is left with.
Answer:
a + (6 -2)I'm not completely sure, but I hope this helps.
Lucas wants to have at least $4,000 in his account. He has $2,500 to deposit into an account that earns simple interest at a rate of 6%. What is the fewest number of years it will take Lucas to reach his goal?
Answer:
6.25 years
Step-by-step explanation:
Simple interest = principal x time x interest rate
simple interest = $4,000 - $2,500 = $1,500
1500 = $4,000 x 0.06 x n
1500 = 240n
divide both sides by 240
n = 6.25 years
I NEED HELP WITH THIS QUESTION THANK YOU
Answer:
hey,i can answer the question but i cant really see the coordinates
Step-by-step explanation:
HELP PYTHAGOREAN THEOREM plssss ASAP
Answer:
[tex]2\sqrt{51}[/tex]
Step-by-step explanation:
first, you have to look pythagoras theorem (in picture)
then; x² + 14² = 20²
x² + 196 = 400
x² = 204
x = [tex]\sqrt{204}[/tex] = [tex]2\sqrt{51}[/tex]
Hope this helps ^-^
The length of the unknown side ( x )
Solution:We'll have to use pythagoras Theorem.
[tex]\huge\boxed{\sf{Formula: {a}^{2} + {b}^{2} = {c}^{2} }}[/tex]
In this question hypotenuse is given so we'll have to subtract.
Let the unknown be "x"
[tex] {c}^{2} = {a}^{2} - {b}^{2} [/tex]
[tex] {x}^{2} = {20}^{2} - {14}^{2} [/tex]
[tex]x = 204[/tex]
[tex] {x}^{2} = \sqrt{204} [/tex]
[tex]x = 14.28285686[/tex]
[tex]\large\boxed{\sf{x = 14.3 \: (nearest \: tenth)}}[/tex]
Hence, the unknown side of the given triangle is 14.3
Isaac received 125 for his birthday. He spent 65 on a new video game. How much money, x, how much does issac have
Answer: $60
Step-by-step explanation:
14. Simplify 3!
16. simplify 8c5
Answer: 8
*
(
c
*
c
*
c
)
Step-by-step explanation:
Solve for x if 5 - x = 6
A) 1
B) No solution
C) -1
D) 5
Answer:
C
Step-by-step explanation:
5 - 1 = 4
5 - 5 = 0
5 - -1 = 6
I hope this helps but the answer most likely is C
Answer:
I think it's letter C ..........
Find the measurement of angle 3 when angle 2 equals 15x and angle 8 equals 5x
Answer:
change the date of 4images and the giant is the quiz on my essay
Step-by-step explanation:
you wanna play 3rd party or something else do it was 4th day
From - 12 surface sea level, a submarine descends 20 feet per minute. Where is the submarine in relation to sea level 7 minutes after it starts descending?
Answer:
-152 feet in relation to sea level.
Step-by-step explanation:
If it descends 20 feet per minute, you just multiply the distance by the minutes. So 20x7 and you will get 140. You can't forget that it's already -12 below sea level, so it's 12 feet deeper. It's -152 feet in relation to sea level.
1
3x +2y - 5z
If
y-42
X
=
find the value of x when y = 6 and z
2
3y
Answer:
hmmmm i saw something about 13?????
Step-by-step explanation:
I need help with the first question pls
Answer:
67.5 feet
Step-by-step explanation:
If 1 inch = 9 feet, and the model is 7.5 inches,
you just need to do 7.5 • 9 = 67.5 feet.
OR
7 • 9 = 63 and 1/2 (or .5) • 9 = 4.5
63 + 4.5 = 67.5
*I'm pretty sure it says 1 inch = 9 feet and I'm also basing this off the fact that your work for question 2 is showing the same ratio of 1 inch = 9 feet
Help please it’s due soon
Answer:
y = 12,58 unitsStep-by-step explanation:
y = opposite
15 = hypotenuse
θ = 57°
therefore we use sin
sinθ = opposite/hypotenuse
sin57° = y/15
y = 15sin(57°)
y = 12,58 units
_________________
#StayPositive - kexcvi
What is the solution 5y + 1 =31
A windowpane is 16 inches tall and the diagonal distance from one corner to the other is 20 inches . How wide is the windowpane ?
:)
please help me giving brainlest
please please help !!
Step-by-step explanation:
As the problem said, you need to submit a picture of your own work, but I can help nevertheless.
Blank 1:
[tex]\tan 70=\frac{x}{300}\\x=300\tan70 \approx \boxed{824.24}[/tex]
Blank 2:
[tex]\tan 53=\frac{x}{300}\\x=300\tan53 \approx \boxed{398.11}[/tex]
Blank 3:
[tex]300\tan(70)-300\tan(53)\approx\boxed{426.13}[/tex]
PLZ HELP IF POSSIBLE ASAP
Answer:
907.46 ft²
Step-by-step explanation:
Area of a full circle = πr²
Area of a quarter circle would therefore = ¼(πr²)
Where,
r = 34 ft
π = 3.14
Area of quarter circle = ¼(3.14 × 34²) = ¼(3,629.84)
Area of quarter circle = 907.46 ft²
Line R is represented by the equation y=x+2. Line S is perpendicular to Line R and passes through
the point (-60). What is the equation for Lines?
Answer:
C
Show your work:
A perpendicular line has a negative reciprocal slope so 2/3 becomes -3/2, then substitute your point (-6,4) and you get letter C
I used your picture since your Question does not match the picture.
Write an inequality to label the shaded region of the graph
-3
2
11
X
-3
-
4
-
- 1 -2
3
4
Answer:
y < 1
Step-by-step explanation:
the value of y in the whole part is less than or equal to 1.
Can someone solve for x and y please
Answer:
both ansers are 2.7
Step-by-step explanation:
This is an 45˚, 45˚, 90˚ so the two smaller sides are equal so x=5.4.
the hypotenuse is always sqrt2 times bigger than the smaller sizes so y=[tex]5.4\sqrt{2}[/tex]
help with this question please
Answer:
A; x< 5
Step-by-step explanation:
A simple way to remember the difference between greater than or less than is picturing the symbol as an alligator, the mouth of the alligator, the open end, eats the bigger number. The line under the greater than/ less than symbol means "or equal to". An open circle on a number line means that it's NOT "or equal to", so the answer isn't B or D. On the number line, it shows what x could equal. The arrow falls on 0, I'll use 0 as an example. Is 0 less than 5? Yes. If x could equal 0, that means that x is less than 5.
Write a rule for this transformation (geometry)
Please answer right and don’t be a bot
Answer:
its SAS
Step-by-step explanation:
segment ST is is one side then PS and RD is another because of the line across both of those and angle S