PLEASE HELP? The standard form for the function is: P(x)=-5x^+120x-315.
Rewrite the function in vertex form.
Answer:
P(x) = -5(x² - 12)² + 405
Step-by-step explanation:
P(x) = -5x² + 120x - 315
Factor out -5 from the first two terms
P(x) = -5(x² - 24x) - 315
Complete the square
P(x) = -5(x - 12)² - (-5(-12)²) -315
P(x) = -5(x - 12)² + 720 - 315
P(x) = -5(x - 12)² + 405
Find the solution of (x+2)^2 +2=6 by using square roots method
Answer:
(x + 2)² +2 = 6(x + 2)² = 4√(x + 2)² = √4x + 2 = ± 2x = -2 ± 2x = -4, x = 0Find the value x that makes the equation true . x + 4 = 12
x = 16
x=8
x=24
x=3
Answer:
x = 8
Step-by-step explanation:
x + 4 = 12
Subtract 4 from both sides
x = 8
Let's check
8 + 4 = 12
12 = 12
So, x = 8 is correct!
If you can, please give me a Brainliest, thank you!
linear equations with distributing drag and drop
Can someone please help me with these? I'll give you a 5 star rating, and brainliest answer!
Answer:
A.)
distributeadd 7x to both sidesadd 6 to both sidesdivide both sides by 10B.)
distributecombine like termssubtract 12x from both sidesadd 6 to both sidesdivide both sides by 10It takes a ship three hours to cover 72 km with the current and 4 hrs against the current. Find the speed of the ship in still water and the speed of the current.
Answer:
3km/h and the speed of the ship is 21 km/h.
Step-by-step explanation:
Answer:
The current is 3km/h and the speed of the ship is 21 km/h.
Step-by-step explanation:
URGENT! HOMEWORK DUE TOMORROW MORNING!
Miguel has three times as many dimes as he has quarters. He has as many nickels as he has dimes and quarters combined. The total amount of money he has is $3.00. How many of each coin does Miguel have?
After solving the algebraic equation, Miguel has 4 quarters, 12 dimes and 16 nickels.
What is algebra?
One of the earliest areas of mathematics that deals with number theory, geometry, and analysis is algebra. Algebra is also defined as the study of mathematical rules and symbols through the manipulation of those mathematical symbols.
The number of quarters is taken to be x, then the number of dimes will be 3x, and the number of nickels will be 3x + x = 4x
$3.00 when converted to cents is 300 cents.
The value of nickels is 5 x 4x=20x.
The value of dimes is 10 x 3x=30x.
The value of quarters is 25x.
As the total value of money Miguel has is 300 cents, then the algebraic equation will be -
20x + 30x + 25x = 300
Solve to get the value of x -
75x = 300
x = 4
Therefore, the amount of quarters is x = 4 quarters.
The amount of dimes is x = 3x = 3 x 4 = 12 dimes.
The amount of nickels is 4x = 4 x 4 = 16 nickels.
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NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! <3
Answer:
85 degrees
Step-by-step explanation:
Hi there!
<x is an exterior of the triangle ABC. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Therefore, we could say that x is equal to the sum of 60 and 25:
60+25=x
85=x
Therefore, angle x measures 85 degrees.
I hope this helps!
Answer:
85
Step-by-step explanation:
Cari owns a horse farm and a horse trailer that can transport up to 8000 pounds of livestock and take she travles with 5 horses whose combined weight is 6240
Complete question :
Cari owns a horse farm and a horse trailer that can transport up to 8000 pounds of livestock and take she travles with 5 horses whose combined weight is 6240
Let t represent the average weight of tack per horse, which of the following inequalities could be used to determine the weight of the tack cari can allow for each horse
Answer:
t ≤ 352
Step-by-step explanation:
Maximum allowable weight (tack and horse) = 8000 pounds
Combined weight of 5 horses = 6240
Let average weight of tack per horse = t
Average weight of tack for the 5 horses = 5t
Hence, weight of tack + weight of horse ≤ 8000
5t + 6240 ≤ 8000
5t ≤ 8000 - 6240
5t ≤ 1760
t ≤ 352
A slide reaches a vertical height of 16 feet and makes an angle of 25° with the ground. How long is the slide
Answer:
17.7 feet
Step-by-step explanation:
law of sines:
x = length of slide
base of slide forms a 90 degree angle with the ground
to find the number of degrees in the third angle, subtract 115 from 180
sin 65°/16 = sin 90°/x
16 = sin 65°(x)
x = 16/(sin 65°) ≈ 17.7 feet
Oof I need help again plz people
Answer:
3/10 m^2
Step-by-step explanation:
To find the area of the rectangle
A = l*w
= 2/5 * 3/4
=6/20
Divide the top and bottom by 2
= 3/10 m^2
Answer:
As a decimal it would be 0.3 but as a faction it would be 3/10
Step-by-step explanation:
2/5 times 3/4 = 0.3 or 3/10
Anyone pls help :) I'll give brainliest
Answer:
B. -5/2
Step-by-step explanation:
(0, -7) and (-4, 3)
m = 3+7/-4-0
m = 10/-4
m = -10/4
m = -5/2
Answer:
b
Step-by-step explanation:
Use the distributive property to write an equivalent expression to 8(7 + 3y). Explain how you know they are equivalent.
Answer:
56 + 24y
Step-by-step explanation:
8(7 + 3y) = 56 + 24y
Because
8 * 7 = 56
8 * 3y = 24y
PEASE HELP RIGHT AWNSER GETS THE CROWN THING
Answer: i believe that the answer is B :)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
We can either use the graph or the chart.
For this question it'll be easier to use the graph.
First find the y-intercept (that were your line meet the y-axis)
y = 4
Then find the slope ([tex]\frac{rise}{run} = \frac{2}{1} = 2[/tex])
Slope = 2
Then plug them into the equation: y = mx + b
m = slope = 2
b = y-intercept = 4
y = 2x + 4
Therefore, the answer is A
How do i solve this? (by factoring)
x(x+3)=x+8
[tex]\sf x\left(x+3\right)=x+8\\\\\\\\x^2+3x=x+8\\\\\\\\\sf \boxed{\sf\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}}\\\\\\\\\sf x^2+3x-8=x+8-8\\\\\\\\\sf \boxed{\sf \mathrm{Simplify}}\\\\\\\\\sf x^2+3x-8=x\\\\\\\\\boxed{\sf \mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}}\\\\\\\\\sf x^2+3x-8-x=x-x\\\\\\\\\boxed{\sf \mathrm{Simplify}}\\\\\\\\\sf x^2+2x-8=0\\\\\\\\\boxed{\sf factor~ x^2+2x-8=0}\\\\\\\\\sf \left(x-2\right)\left(x+4\right)=0[/tex]
[tex]\sf \boxed{\sf \mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0}\\\\\\\\\sf x-2=0\quad \mathrm{or}\quad \:x+4=0\\\\\\\\\boxed{\sf \{x=2\}}\\\\\boxed{\sf \{x=-4 \} }[/tex]
Given this equation in slope y - intercept form y=2x+5, the slope, and the y-intercept are represented as ______.
Answer:
slope is 2 ,, y intercept is 5
Step-by-step explanation:
y=mx+c
m represents slope
c represents y intercept
Find the value of xx in the equation below.
11=
11=
\,\,x -6
x−6
Answer:
Find the value of xx in the equation below.
11=
11=
\,\,x -6
x−6
Step-by-step explanation:
A small box can hold 94.24 g of candy. If each candy has a mass of 1.52 g, how many candies can fit into each box?
Answer:
62 candies can fit into each box
Step-by-step explanation:
We know
A small box can hold 94.24 g of candy
Each candy has a mass of 1.52 g
How many candies can fit into each box?
To find it we take
94.24 divided 1.52 = 62 candies
So, 62 candies can fit into each box
Suppose you know the answer to 4/5*(20*1 7/8). Explain how the Commutative and Associative Properties of Multiplication can make the computation easier. Then find the answer
You can rearrange terms in an expression using the commutative and associative qualities to arrange compatible numbers next to one another and in groups.
What distinguishes an associative property from a commutative property?According to the associative property, numbers can be added to or multiplied while still maintaining the same result. According to the commutative property, even if the numbers are added or multiplied, the solution will remain the same.
Explain:
[tex]\frac{4}{5}[/tex] ×(20×17/8)
20×17/8
340÷8
[tex]\frac{4}{5}[/tex]×[tex]\frac{340}{8}[/tex]
= [tex]\frac{64}{2}[/tex]
= 32
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The rectangular floor of a classroom is 30 feet in length and 36 feet in width. A scale drawing of the floor has a length of 5 inches. What is the area, in square inches, of the floor in the scale drawing?
HURRYYYYYYYYYYYYYY
Answer:
30 in.²
Step-by-step explanation:
Real:
length 30 ft
width 36 ft
Scale:
length 5 in.
width ?
30/36 = 5/x
30x = 5 × 36
x = 6
The scale width is 6 inches.
Scale area:
area = length × width
area = 5 in. × 6 in.
area = 30 in.²
The area, of the floor in the scale drawing is 30 in.²
What is the unitary method?The area is the total amount of space that an object's shape or a flat (2-D) surface occupies.
Given that rectangular floor of a classroom is 30 feet in length and 36 feet in width. A scale drawing of the floor has a length of 5 inches.
length 30 ft
width 36 ft
Scale: length 5 in.
Then we have
30/36 = 5/x
30x = 5 × 36
x = 6
The scale width is 6 inches.
Scale area:
The area = length × width
area = 5 in. × 6 in.
area = 30 in.²
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Benjamin invested $66,000 in an account paying an interest rate of 63%
compounded annually. Christian invested $66,000 in an account paying an interest
rate of 5% compounded continuously. After 19 years, how much more money would
Benjamin have in his account than Christian, to the nearest dollar?
Answer:
$16,755
Step-by-step explanation:
You want the difference in interest earned on $66,000 after 19 years between an account earning 6 3/8% compounded annually, and one earning 5 3/4% compounded continuously.
Interest formulasThe formula for the account value multiplier when interest is compounded annually is ...
k = (1 +r)^t . . . . . . compounded annually at rate r for t years
When interest is compounded continuously, the multiplier is ...
k = e^(rt)
ApplicationThe difference in account values between the two rates is ...
∆value = $66,000·(1 +0.06375)^19 -e^(0.0575·19))
∆value ≈ $16,754.70
Benjamin will have about $16,755 more than Christian after 19 years.
sharla's batting average is 0.583. what would that be in fraction form
Given:
Sharla's batting average is 0.583.
To find:
The fraction form of the Sharla's batting average.
Solution:
It is given that Sharla's batting average is 0.583. So, it can be written as:
[tex]0.583=0.583\times \dfrac{1000}{1000}[/tex]
[tex]0.583=\dfrac{583}{1000}[/tex]
This fraction can not be simplified further because there is no common factor of 583 and 1000.
Therefore, the fraction form of the Sharla's batting average is [tex]\dfrac{583}{1000}[/tex].
In the figure, m∠AOB = m∠COD. Which property of equality will you use to prove m∠AOC = m∠BOD?
A)
Subtraction
B)
Transitive
C)
Addition
D)
Symmetric
Answer:
transitive
.......gguf
If the statement 4 > 3 is true, which of the following are true about the relationship between –4 and –3? Check all that apply.
–4 < –3
The inequality changes from greater than to less than because -4 is less than -3.
–4 > –3
The greater than inequality holds true even when the opposites of 4 and 3 are used.
–4 = –3
Answer: The answer is A and b, the person above me is wrong
Step-by-step explanation: Hope y'all stay safe and healthy! ^^
Of the 360 members of the kennel club who were
surveyed, 190 said they would try a new dog food.
If the kennel club has 2,100 members, how many
could be expected to try the new dog food?
help please (mhanifa)
For each question order the cards from least to greatest. If the feature is equal to two or more functions, place them next to each other.Maximum value on the interval 2 ≤ x ≤ 6
(sort the cards/letters from least to greatest based on Maximum value on the interval 2 ≤ x ≤ 6)
Answer:
u sus imposter
Step-by-step explanation:
Write the coordinates of the vertices after a rotation 90 degrees counterclockwise around the origin.
Answer: J' (8, -9); K' (8, -2); L' (3, -2); M' (3, -9)
Step-by-step explanation:
A rotation of 90 degrees counterclockwise is (x, y) -> (-y, x), so
J (-9, -8) -> J' (8, -9)
First, you take negative 8 (y) of J and make it positive 8 for the x of J'. Then, take -9 (y) of J and switch it to x of J'.
You repeat this process for the rest of the points. X switches to Y with the opposite sign and Y switches to X but stays the same.
K (-2, -8) -> K' (8, -2)
L (-2, -3) -> (3, -2)
M (-9, -3) -> (3, -9)
The ratio of chocolate kisses in a party favor bag to people it will serve is 1:5. If Deb wants to provide party favor bags to 80 people, how many bags will Deb use?
Answer:
times 1 by 80 and 5 by 80
Step-by-step explanation:
then you can determine from there
there can be more than one answer
The spring constant is 30 N/m and the stretch when the 420 N force is applied is 14 cm.
What is spring force?The force needed or applied to compress or extend a spring on any attached object is known as the spring force.
A spring exerts an equal and opposite force on an object when the object exerts a force on it. It always takes action to get mass back to where it should be for equilibrium.
Given that when 180 N force is applied the spring stretched by 6 cm. The spring stretch when the 420 N force is applied is calculated as,
First, calculate the spring constant,
F = kx
180 = k x 6
k = 30 N / m
Calculate the deformation,
x = F / k
x = 420 / 30
x = 14 cm
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For a model of a building, a sculptor uses the scale of 3 inches represents 15 feet. The sculptor creates a model of an airplane that is 5 inches long. How long was the original airplane?
A 25 feet
B 30 feet
C 50 feet
D 75 feet
Answer:
A) 25 feet
Step-by-step explanation:
A sculptor uses the scale of 3 inches to represent 15 feet. Find the amount of feet represented by 1 inch by simply dividing 15 with 3:
15/3 = 5
1 inch represents 5 feet.
Next, it is given that the model of the airplane is 5 inches long. Multiply 5 inches with 5 feet to get the total measurement of the original airplane:
5 x 5 = 25 feet.
5 inches represent 25 feet.
A) 25 feet is our answer.
~
help help help help help help
The equation point slope is y - y1 = m(x - x1)
we got y - (-16)=3(x-7)
what is meant by point of slope?Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-interceptThe slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept pointA simple definition of point-slope form is an equation of a line written using one point on the line and the slope of the line. The point form is written as (x,y) and the slope is the rise over run, or the ratio of the change in the y values over the change in the x valuesThe slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).To learn more about point of slope refers to:
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