Answer:
For a rectangle of given perimeter, here 320 feet, the rectangle with the greatest are is the square. This square shall be 80 x 80. Maximum at (80, 6400)
Step-by-step explanation:
Which temperature is colder -30 degrees or -10 degrees?
Answer:
-10 degrees celsuius is less than - 20 degrees its cold but not as cold as -10
Step-by-step explanation:
Answer:
- 30 degrees
Step-by-step explanation:
- 30 degrees
Let's look at this flipped
When the temperature is higher, the weather is hotter.
The same rule applies for the cold. When the temperature is lower, the weather is colder.
Hope this helps!
Re-write the quadratic function below in Standard Form
y= 2(x - 2)2 – 7
Answer:
Standard form: y = 2x² - 8x + 1
Step-by-step explanation:
We are given the following quadratic function, y = 2(x - 2)² - 7, for which we must transform in its standard form.
Definition: Quadratic Function in Vertex Form:The vertex form of a quadratic function is y = a(x - h)² + k (which is the format of the given equation).
The vertex of the parabola occurs at point (h, k). The value of "a" determines the direction of the graph's opening (reflection across the x-axis); it also indicates the wideness or narrowness of the graph (vertical stretch or compression).⇒ If the value of "a" is positive, then the vertex is its minimum or lowest point on the graph.
⇒ If the value of "a" is negative, then the vertex is the maximum or highest point on the graph.
Quadratic Function in Standard Form:The standard form of a quadratic function is y = ax² + bx + c, where a ≠ 0.
Solution:Step 1: Expand the binomial, (x - 2)²:
The first step in rewriting the given equation into its standard form is expanding the binomial using the FOIL method, which transforms it into a perfect square trinomial.
y = 2(x - 2)² - 7
⇒ (x - 2)(x - 2)
⇒ [ x² - 2x - 2x + 4 ]
Step 2: Substitute the perfect square trinomial into the vertex form:y = 2(x - 2)² - 7
y = 2(x² - 2x - 2x + 4) - 7
Step 3: Distribute "2" into the parenthesis:y = 2(x² - 2x - 2x + 4) - 7
y = 2x² - 4x - 4x + 8 - 7
Step 4: Combine like terms and constants, then simplify:y = 2x² - 8x + 1.
Final Answer:Therefore, the quadratic function in standard form is y = 2x² - 8x + 1, where a = 2, b = -8, and c = 1.
_____________________________
Keywords:Quadratic equations
Parabola
Quadratic functions
Vertex form
Functions
______________________________
Learn more about quadratic functions here:
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Answer:
[tex]\displaystyle y = 2x^2 - 8x + 1[/tex]
Step-by-step explanation:
All you are doing is perfourming order of operations and using the Distributive Property. Here is how it is done:
[tex]\displaystyle y = 2(x - 2)^2 - 7 \hookrightarrow y = 2(x^2 - 4x + 4) - 7 \hookrightarrow y = 2x^2 - 8x + 8 - 7 \\ \\ \boxed{y = 2x^2 - 8x + 1}[/tex]
I am joyous to assist you at any time.
I hate math so much I can’t to be done with this class
Thank you for helping!!
Answer:
$324.80
Step-by-step explanation:
16*7= the area so
16*7=112
112sq yards
112*2.90=324.80
How to solve this? And what is the answer.
11 = -5x-2
[tex]\large \bf\blue{\bigstar\boxed{\pink{\frak{Solution}}}} \blue{ \bf\longmapsto}[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf11 = -5x-2[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf11 + 2= -5x[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf13= -5x[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf - 13=5x[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf 5x = - 13[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf x = \dfrac{ - 13}{5} [/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf x = - 2.6[/tex]
or
[tex] \looparrowright \sf x =- 2\dfrac{3 }{5} [/tex]
Answer:
-13/5 or -2.6
Step-by-step explanation:
Step 1: Flip the equation.
−5x−2=11
Step 2: Add 2 to both sides.
−5x−2+2=11+2
−5x=13
Step 3: Divide both sides by -5.
-5x 13
----- = -----
-5 -5
x = -13/5
-10(2x+1/5) in standard form
Answer:
-20x-2
Step-by-step explanation:
square DEFG is inscribed in equilateral triangle ABC with a side length of 3+2√3.
Find: area of the square
Answer:
9 units²
Step-by-step explanation:
**Refer to the attached diagram**
The angles in the right triangle FAD (and HBE) are 30-60-90 which means that its sides will be in the ratio 1 : √3 : 2
Let x = the smallest side
Therefore, the sides of the right triangle FAD are in the ratio x : √3x : 2x
This means that:
the side length of the square = √3xthe side length of the triangle = x + √3x + x = (2 + √3)xWe are told that the side length of the triangle is 3 + 2√3, so:
[tex]\implies 3 + 2\sqrt{3} =(2 + \sqrt{3} )x[/tex]
[tex]\implies x=\dfrac{3 + 2\sqrt{3}}{2 + \sqrt{3} }[/tex]
[tex]\implies x=\sqrt{3}[/tex]
As the side length of the square is √3x, and x = √3,
⇒ side length of the square = √3 x √3 = 3
Now we know the side length of the square, we can calculate the area:
⇒ area of a square = side length x side length = 3 x 3 = 9 units²
A computer loses 32% of its value in the first year . It is worth $1650 after 1 year ,how much was it bought for to the nearest $
Answer:
32+500=532
Step-by-step explanation:
is the nearest rupee
HELPPPPPPPPP I'LL GIVE BRAINLYYYYYYYYYYY THANKKKKKKKK YOUUUUUUU <3
if a=-3 and b=4 then the value of -5a^2b is?
A) 180
B) 120
C) -120
D) -180
Answer:
D. -180
Step-by-step explanation:
3² = 9
9*(-5) = -45
-45 * 4 = -180
i hope this helps! have a wonderful rest of ur day :)
HELP HOW DO I SOLVE THIS
Josie wants to buy Internet access. One service provider charges a flat rate of $34.95/month. A second charges $25/month plus 33c/h. For what number of hours per month should Josie choose the flat rate?
ansewer:
25+.33h=34.95 solving for h gives h=(34.95-25)/.33 =30.15 hours. So if you are going to use more than 30 hours it better to go with the flat rate company.
Step-by-step explanation:
You want to find, h, the number of hours of usage that will make the costs for the two equal so
8 kilómetros a metros
Answer:
8 kilómetros son 8000 metros
Marguerite sailed 4 hours on Saturday and 3 hours on Sunday. Each day, she sailed at a rate of 11 miles per hour. Which statements are true? Check all that apply.
She sailed for 4 hours.
She sailed for 7 hours.
She sailed 44 miles in all.
She sailed 77 miles in all.
Express x² -5x-14 as the product of two binomials
Answer:
(x-2)(x-7)
Step-by-step explanation:
[tex]x^{2} -5x-14\\\\x^{2} -7x+2x-14\\\\x(x-7)+2(x-7)\\\\\(x+2)(x-7)[/tex]
round 1588 to the nearest hundred
Answer:
1600
Step-by-step explanation:
By rounding 1588 to the nearest hundredth we get 1600.
What is the solution to |2x-8|=6?
A. x /= -1
B. 1 /= 7
D. -7 = x = -1
Answer:
x = 1
Step-by-step explanation:
|2-8| = 6
|-6| = 6
Answer:
Step-by-step explanation:
|2x-8|=6
2x - 8 = 6
+ 8 + 8
2x = 14
/2 /2
x = 7
2x - 8 = -6
+ 8 +8
2x = 2
/2 /2
x = 1
I'm going sure what the options are, as they are confusing.
When you post the update you question, I'll update my answer :)
The stadium has two tiers of spectator seats and VIP seats. The number of VIP seats is 1/12 of all seats. The ratio of the number of 1st tier seats to the number of 2nd tier seats is 7:5. If there are 600 VIP seats, how many 1st tier seats are in the stadium?
Answer:
350
Step-by-step explanation:
350 because there are 1/12 of VIP seats and there are 600 so 600 times 1/12 is 6,600.
Then you minus off the 600 VIP seats so you get 6000
next you do 600 divided bu 12 because of the 1st tier seats and 2nd tier seats combined which then you get 50
lastly you do 50 times 7 because of the ration 7:5 1st tier seats to 2nd tier seats so then you get 350
please mark brainliest i need one last one
What is the value of AC?
Answer:
25
Step-by-step explanation:
5x+5 = 7x-1
5 = 2x-1
2x = 6
x = 3
3x6 = 18
18+7 = 25
solve by factorising x2 + 8x + 15 = 0
Answer:
x = - 3/2 thats the answer
Just new 7 don’t mind the triangle under it
Answer:
50
Step-by-step explanation:
total angle of a triangle should be 180 so we add the given angle and subtract it from 180
I have to turn this in by tonight
Answer:
x = -11
Step-by-step explanation:
Convert fraction into negative exponential form: [tex](36^-^1)^x^-^4=(216^-^1)^x^+^1\\[/tex]
Simplify using exponent power rule: [tex](a^n)^m=a^n^m:36^-^x^+^4=216^-^x^-^1[/tex]
Convert both sides of the equation into terms with same base:[tex](6^2)^-^x^+^4=(6^3)^-^x^-^1[/tex]
Simplify using exponent power rule:
[tex](a^n)^m=a^n^m:6^-^2^x^+^8=6^-^3^x^-^3[/tex]
Based on the given conditions, corresponding exponents are equal:
[tex]-2x=8=-3x-3[/tex]
Rearrange unknown terms to the left side of the equation:
[tex]-2x+3x=-3-8[/tex]
Combine like terms: [tex]x=-3-8[/tex]
Calculate the sum or difference: [tex]x = -11[/tex]
Thurs, x = -11
[RevyBreeze]
A)2/7+3/7=
B)3/5 -1/5=
C)3/8+6/8=
D)1/3+2/5=
E)3/2+3/4=
Answer:
A) 5/7
B)2/5
C)9/8 =1 1/8
D)11/15
E)9/4=2 1/4
Simplify 6 x − x + 5 y − 2 y
Answer:
Add and subtract similar variables
Step-by-step explanation:
(6x-x) + 5y - 2y
5x + (5y-2y)
=5x + 3y
Answer: 5x + 3y
Step-by-step explanation: You want to work with m variables that are the same so any item with an x is grouped together so 6x - x = 5x and the ys are grouped together 5y - 2y = 3y so your final answer would be 5x+3y
Solve the following variation problem
The interest on an investment varies directly as the rate of interest.
If the interest is $49 when the interest rate is
4%, find the interest when the rate is
7.7%
Answer:
$94.325
Step-by-step explanation:
Given interest (I) varies directly as rate of interest (R) then the equation relating them is
I = kR ← k is the constant of variation
To find k use the condition I = 49 when R = 4 , then
49 = 4k ( divide both sides by 4 )
12.25 = k
I = 12.25R ← equation of variation
When R = 7.7 , then
I = 12.25 × 7.7 = $94.325
Max has 4 more dollars than Jacob. If y is the amount of money that Jacob has, write an expression to show how much money Max has.
Your answer:
Answer:
8
Step-by-step explanation:
4 and jacob has 4. v. ...................
hola como estas espero que bien y que te hice el deposito de
The difference between two numbers is -1 their sum is -27 find the numbers
Answer:The difference between x and y is 1. In other words, x minus y equals 1 and can be written as equation B: · x - y = 1. Now solve equation B for x
Step-by-step explanation:
can someone help me with this equation y=-x+4 and y=3x
Answer:
y=-x+4
y=3x
so that means
-x+4=3x
+x
4=4x
x=1
Hope This Helps!!!
Calculate each unit rate.
a) A bus traveled 288 km in 4 hours.
b) A fish swam 75 m is 25 s.
c) Seven lemons cost $1.40.
d) $250 for a 5-day car rental.
Answers:
a) 72 km per hourb) 3 meters per secondc) 0.20 dollars or 20 cents per lemond) 50 dollars per day====================================
Explanation:
a) Divide the distance over time to get the unit rate, which is the speed in this case. Speed = distance/time = 288/4 = 72 km per hour. b) Like before, divide the distance over time to get 75/25 = 3 meters per second.c) We want the cost of 1 lemon. So we'll divide the total cost over 7 to get (1.40)/7 = 0.20 dollars = 20 cents per lemond) Divide the total cost over the 5 day period. This will get the cost of each day. So we have a unit cost of 250/5 = 50 dollars per day.Renaldo has a
budget of $500 to buy gift boxes for a party.
Large boxes cost $65 and small boxes cost
$35. Write and graph an inequality that
represents the number of each type of gift
box that Renaldo can buy. If Renaldo buys
5 small gift boxes, how many large gift boxes
can he afford to buy?
Renal can buy a box that is $35
Step-by-step explanation:
The inequality is 35 × 5 + 65y ≤ 500. Then the number of large gift boxes will be 5.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Renaldo has a budget of $500 to buy gift boxes for a party. Large boxes cost $65 and small boxes cost $35.
Let 'x' be the number of small boxes and 'y' be the number of large boxes. Then the inequality is written as,
35x + 65y ≤ 500
If Renaldo buys 5 small gift boxes. Then the number of large gift boxes will be given as,
35 × 5 + 65y ≤ 500
175 + 65y ≤ 500
65y ≤ 325
y ≤ 5
The inequality is 35 × 5 + 65y ≤ 500. Then the number of large gift boxes will be 5.
More about the inequality link is given below.
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A 3-column table with 5 rows. The first column has entries empty, distance travelled (meters), time (initial) (seconds), time (final) (seconds), elapsed time (seconds), average speed (meters per second). The second column labeled Trial A has entries 4. 0, 2. 0, 2. 5, 1. 5, 2. 7. The second column labeled Trial B has entries 4. 0, 1. 5, 4. 5, empty, empty. Use the data table on the left to complete the calculations. What is the elapsed time for Trial B? s What is the average speed for Trial B? m/s.
Speed is the ratio of distance and time
The elapsed time is 3 secondsThe average speed is 1.33 meters per secondHow to calculate the elapsed timeThe elapsed time is the difference between the final time and the initial time.
So, we have:
Time elapsed = 4.5 seconds - 1.5 seconds
Evaluate the difference
Time elapsed = 3 seconds
Hence, the elapsed time is 3 s
How to calculate the average speedThe average speed is the quotient of the distance and the elapsed time.
So, we have:
Average speed = 4 meters/ 3 seconds
Evaluate the quotient
Average speed = 1.33 meters per second
Hence, the average speed is 1.33 m/s
Read more about speed at:
https://brainly.com/question/4931057
Answer:
Speed is the ratio of distance and time
The elapsed time is 3 seconds
The average speed is 1.3 meters per second
Dalia purchased a T.V. on sale for 15% less than the original price. If the original price was $200 how much money did Dalia save?