solve the equation by completing the square. (step by step please)
4x(x + 6) = -40
Answers
Answer:
4(x+3)²+4
Step-by-step explanation:
4x²+24x+40=0
using the equation above
a:4 b:24 c:40
4(x+(24÷2x4))² + (40-(24²÷4x4))
4(x+3)²+(40-36)
4(x+3)²+4
Related Questions
Find the area of a circle with a diameter 6
Answers
Ocean water freezes at about -2 1/2 so silly fresh water freezes at zero anti-freeze a liquid used in radiators of cars freeze at -64 imagine if the temperature has dropped to the freezing point for ocean water how many degrees more most the temperature Drop for the anti-freeze to turn solid
Answers
Answer:
Temperature needs to drop by 61.5°
Step-by-step explanation:
Given that:
Freezing temperature of ocean water = - 2.5
Freezing temperature of fresh water = 0
Freezing temperature = anti-freeze = - 64
If temperature has dropped to freezing point for ocean water, then current temperature = - 2.5
How many more degrees must the temperature drop for temperature to turn solid :
Freezing temperature of anti-freeze - current temperature
-64 - (-2.5)
-64 + 2.5
-61.5
-61.5(the temperature needs to drop by 61.5°)
Sam and her friends are going on a road trip that is 124.8 miles long they have already driven 112.9. How much farther do they have to drive? 10
Answers
Geometry work pls help
Answers
Answer:
true
Step-by-step explanation:
Answer:
TRUE
Step-by-step explanation:
THE FIGURE HAS PARALLEL LINES.
what's the gcf of 3x and 12x
Answers
Answer: GCF- is 3x
Step-by-step explanation:
So first you will ignore the X.
You will then find the GCF of 3 and 12.
The calculated value of the gcf of 3x and 12x is 3x
Calculating the gcf of 3x and 12xFrom the question, we have the following parameters that can be used in our computation:
Expressions = 3x and 12x
Expand both expressions
So, we have
3x = 3 * x
12x = 2 * 2 * 3 * x
Multiply the common factors
GCF = 3 * x
Evaluate
GCF = 3x
Hence, the gcf of 3x and 12x is 3x
Read more about GCF at
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An invertible function is represented by the values in the table.
Which graph shows the inverse of this function?
Answers
Answer:
Graph B
Step-by-step explanation:
Because th inverse fuction is f^-1(x), you basicaly swap the numbers, all x valuese would equal y.
In this exercise we have to identify the treated inverse function and the graph that corresponds to it, so we have that what corresponds to this is:
Graph B corresponds to the given function.
In this way, the inverse function corresponding to:
[tex]f^{-1}(x)[/tex]
Because th inverse fuction is f^-1(x), you basicaly swap the numbers, all x valuese would equal y. So we will have that the graph that correctly corresponds to this function is graph B.
See more about inverse function at brainly.com/question/5245372
I need help answer as soon as possible.
Answers
Please help me
what is the premiter of the semi circle
Answers
Answer:
B
Step-by-step explanation:
what is the slope of the line determine by the cordinates (0,0) and (2,1.2)
Answers
Answer:
[tex]\displaystyle m=0.6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (0, 0)
Point (2, 1.2)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: [tex]\displaystyle m=\frac{1.2-0}{2-0}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{1.2}{2}[/tex][Fraction] Divide: [tex]\displaystyle m=0.6[/tex]Is the function an exponential function?
y=(-2)^x
Answers
Answer:Yes
Step-by-step explanation:
the normal exponential function is ab^x, where a represent the growth( sometimes you don't need this part), b is average rate of growth and x is the number of times we exponate. [tex]-2^{x}[/tex] is a exponetital function because it includes the b and x part. The a part is someetimes used but not always.
A function is a relationship between inputs where each input is related to exactly one output.
An exponential function is a function in the form
y = [tex]a^{x}[/tex]
Where a = constant and x = variable.
y = [tex](-2)^{x}[/tex] is an exponential function.
Where -2 is a constant and x is a variable.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y = [tex](-2)^{x}[/tex]
An exponential function is a function in the form
y = [tex]a^{x}[/tex]
Where a = constant and x = variable.
Example:
y = [tex]3^{x}[/tex]
y = [tex]5^{x}[/tex]
We see that,
y = [tex](-2)^{x}[/tex]
-2 is a constant
x is a variable
Thus,
y = [tex](-2)^{x}[/tex] is an exponential function.
Where -2 is a constant and x is a variable.
Learn more about functions here:
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February 29th is on Sunday. on what day will the next February 29th be?
Answers
Answer: Friday
Step-by-step explanation:
If February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday.
First and foremost, we should realise that February has 28 days but in leap years which takes place every 4 years, it has 29 days.
We should realise that the dates in the calendar are arranged in such a way that if a particular date falls on a particular day this year, the date will fall on the next day next year. e.g. since January 20 falls on. Wednesday this year, it will fall on a Thursday next year.
Since February 29 is a date for a leap year, following the above explanation, if February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday which is in the next four years.
Can someone help me on this
Answers
9514 1404 393
Answer:
100°
Step-by-step explanation:
Angle AKC is a vertical angle with angle BKD, so has the same measure. Since K is the center of the circle, arc AC has the same measure as angle AKC: 100°.
__
A diagram may help.
the value of y is four less than one-third of x. what is the equation of the relationship
Answers
Answer:
y=1/3x-4
Step-by-step explanation:
Answer:
y=1/3x-4
Step-by-step explanation:
4 is negative cause it says less than..
The sum of the angle measures of any triangle is 180°. If one angle of a triangle measures 35º and another angle measures 72º, what is the measure of the third angle?
Answers
Answer:
73°
Step-by-step explanation:
Start with 35° + 72° = 107°
Then 180° - 107° = 73°
Answer:
[tex]we \: knw \: that \: total \: angle = 180 \\ 35 + 72 + x = 180 \\ 107 + x = 180 \\ x = 180 - 107 \\ x = 73 \\ thank \: you[/tex]
1.) Determine if the coordinate points represent a function. (1.3). (2.6). (3.9). (4. 12). (5.15
O Function
O Not a Function
O both
Answers
Answer:
Function
Step-by-step explanation:
These coordinates do represent a function. For a relation to be a function every y-value must have an x-value, this means x's cannot repeat. In this relation x's never repeat, they simply increase by one every time. Therefore, this is a function.
A store manager and stroke some new trainees that a book is priced at $21 winds up costing a customer $20.63 what does the tax is included which is the sale tax percentage
Answers
Answer:
1.76%
Step-by-step explanation:
Given
Original price of the book = $21
Price after sales percentage = $20.63
Discount = 21-20.63
Discount = $0.37
sale tax percentage = discount/original price × 100%
sale tax percentage = 0.37/21 × 100
sale tax percentage = 37/21
sale tax percentage = 1.76%
Hence the sale tax percentage is 1.76%
Lix wants to by a shirt for $25. What is the total cost with a 4.1% sales tax? Round to NEAREST CENT.
Answers
Answer:
about $26.00
Step-by-step explanation:
$25/100 = 0.25 for 1%
1% times 4.1 = 1.025 in sales tax
plus 25 equals 26.025
round to the nearest cent = $26.00
what does x equal in this problem? x/12 - 5 = -6
Answers
Answer:
x=-12
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Anissa owns a brick house in the country worth $85,000, and the contents of the house are valued at $15,000. Use the table below to calculate her annual property insurance premium.
Annual Premium per $100 of coverage Brick Steel Mixed Wood Building Contents Building Contents Building Contents Building Contents rating City 0.39 0.43 0.5 0.54 0.55 0.65 0.66 0.76 Suburb 10.45 0.52 0.56 0.63 0.72 0.74 0.83 0.85 Rural 0.69 0.71 0.8 0.89 0.91 1 1.02
O A. $918.65
O B. $950.00
O C. $613.50
O D. $150.00
Answers
Answer:
Step-by-step explanation:
$6903 so thos is the answer
Answer:
answer is $613.50
Step-by-step explanation:
the product of 25/-15 x 9 is
Answers
Step-by-step explanation:
25/-15×9
The answer is -15
The area of a circle will _____ be larger than the area of a polygon circumscribed about the circle.
always
often
sometimes
never
Answers
Once debbie arrives in each city,she'll need a backpack to carry around with her. What was the percent markup if a store bought the backpack for $25 ans somd it to debbie for $40
Answers
Answer:
60%
Step-by-step explanation:
40 / 25 - 1 = 60%
By leading figure estimation, approximate the value of 5 850÷22
Answers
A visual-effects model maker for a movie draws a spaceship using a ratio of 1 : 24. The drawing of the spaceship is 22 inches long. What is the length of the spaceship in the movie?
Group of answer choices
Answers
Answer:
Length of spaceship in movie = 528
Step-by-step explanation:
Given that:
Drawing ratio of spaceship = 1 : 24
It means that 1 inch on drawing equals 24 inches in movie
Drawing of spaceship = 22 inches
Length of spaceship in movie = x
As the relationship is proportional,
1 : 24 :: 22 : x
Product of mean = Product of extreme
24*22 = x
x = 528
Hence,
Length of spaceship in movie = 528
2.) Mackenzie uses 1/5 of a cup of sugar for 1/3 of a gallon of lemonade.
How many cups of sugar would she need for a whole gallon of lemonade?*
Answers
Answer:
3/5 cups of sugar
Step-by-step explanation:
If 1/5 of a cup of sugar is used for 1/3 of a gallon of lemonade, 1/5 of a cup will be used in each of the overall three thirds of a gallon.
Answer:
3/5 cup of sugar good luck
Kevin built a deck in his backyard. The length of the deck was x feet and the width of the deck was 3 feet longer than the length. Write and simplify an expression to represent the perimeter of Kevin's deck.
Answers
Answer:
4x + 6 feet
Step-by-step explanation:
The deck is the shape of a rectangle
Hence, the perimeter of a rectangle is:
P = 2L + 2W
Where
L = Length = x feet
The width of the deck was 3 feet longer than the length.
W = Width = 3 + x feet
Hence:
Perimeter = 2(x ) + 2(3 + x)
Perimeter = 2x + 6 + 2x
Perimeter = 4x + 6 feet
Hence, the expression for the Perimeter of the deck is given as:
4x + 6 feet
200-123+289-2/2=????
Answers
Answer:
365
Step-by-step explanation:
200-123+289-2/2
77+289−2/2
366−2/2
366−1
= 365
Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.
Answers
Answer:
8x = 136
Where: x = 17
Step-by-step explanation:
Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.
Let the number of pages read per day = x
Hence, the number of pages after 8 days = 8 × x = 8x
Total number of pages = y= 136
Therefore:an equation relating x, the number of days, to y, the total pages.
= 136 = 8x
Solving for x
136/8 = x
x = 17
Walter took a total of 16 quizzes over the course of 2 weeks. After attending 4 weeks of school this quarter, how many quizzes will Walter have taken in total?
Answers
Answer:
32 quizzes
Step-by-step explanation:
It is given that,
Walter took a total of 16 quizzes over the course of 2 weeks.
16 quizzes = 2 weeks
⇒ 1 weeks = 8 quizzes
We need to find attending 4 weeks of school this quarter, how many quizzes will Walter have taken in total.
⇒ 4 weeks = 4 × 8 quizzes
= 32 quizzes
So, 32 quizzes will Walter have taken in total.
Please help me, 30 points, really easy.
Find the missing dimension. Use the scale factor 1 : 12.
Answers
Answer:
15in
Step-by-step explanation:
Convert the 15 ft to inches (180) and then set up the proportion.\frac{1}{12} = \frac{x}{180}121=180x . Cross multiply to get that 12x = 180 and x = 15 inches.
