Answer:
(x + 4)² - 4 = 0
Step-by-step explanation:
Given
x² + 8x + 12 = 0
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² + 8x
x² + 2(4)x + 16 - 16 + 12 = 0
(x + 4)² - 4 = 0
you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimum number of bricks will you need to occupy this area
Answer:
1800 bricks
Step-by-step explanation:
Given
[tex]Sidewalk = 100ft\ by\ 4ft[/tex]
[tex]Brick = 8 in\ by\ 4 in[/tex]
Required
Calculate the minimum bricks needed
To start with, we calculate the area of sidewalk
[tex]Sidewalk = 100ft * 4ft[/tex]
[tex]Sidewalk = 400ft^2[/tex]
Next, we calculate the area of sidewalk
[tex]Brick = 8in * 4in[/tex]
[tex]Brick = 32in^2[/tex]
Divide area of sidewalks by area of bricks to give number of bricks
[tex]Number = \frac{Sidewalk}{Brick}[/tex]
[tex]Number = \frac{400ft^2}{32in^2}[/tex]
Convert units ([tex]ft^2[/tex] to [tex]in^2[/tex])
[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]
[tex]Number = \frac{57600in^2}{32in^2}[/tex]
[tex]Number = 1800[/tex]
Sarah and her children went into a movie theater where they sell bags of popcorn for $7.50 each and drinks for $4.50 each. Sarah has $90 to spend and must buy a minimum of 16 bags of popcorn and drinks altogether. If xx represents the number of bags of popcorn purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
A possible solution is she should by 6 bags of popcorn and 10 drinks
Step-by-step explanation:
The price of each bag of popcorn = $7.50
The price of each drink = $4.50
The amount Sarah has to spend = $90
The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks
Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y
Therefore, we have;
x + y ≥ 16.....(1)
x × 7.5 + y × 4.5 ≤ 90
Which gives;
7.5·x + 4.5·y ≤ 90....(2)
Rewriting the inequalities as a function of y, gives;
From inequality (1), x + y ≥ 16, we have;
y = ≥ 16 - x
From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;
7.5·x + 4.5·y ≤ 90
4.5·y ≤ 90 - 7.5·x
y ≤ 90/4.5 - 7.5/4.5·x
y ≤ 20 - 5/3·x
Please find attached, the plot of the inequalities
A possible solution is given as the value of x = 6, where y = 10
Therefore, she should by 6 bags of popcorn and 10 drinks.
A circular pizza with a diameter of 10 inches is in a square box with side lengths of 14 inches. In square inches, how much of the box is empty?
Answer:
117.46 sq in
Step-by-step explanation:
The area of the square is 196 sq in, and the area of the circle is 78.54 sq in. Subtracting this gives us the empty space, which is 117.46 sq in. Hope this helps
177.46 inch²
hello
would you like to be my friend? ≧ω≦
can i please get your intro?
Myself Ojasvi
Class 8, 13
India
pls answer properly im giving all my points for this question
47 points
Answer:
A)
Step-by-step explanation:
find the midpoint of the line segment joining the points. (6, -5), (6, 3)
Answer:
The mid point is (6,-1)
Step-by-step explanation:
Answer:
Step-by-step explanation:
3-5/2
6-6/2
-2/2=-1
0/2= 0
(-1,0)
why doesn’t 0^1 equal 0 but 1^1 equals 1 and 1^0 . can you explain why?
Answer:
because 0^1 equals 1
Step-by-step explanation:
in most cases anything to the power of 0 would equal one so that means that 0 to the power 1 would equal one.. I think
What number would go in the blank? (3 • 5) • 2 = 3• C • 2)
Answer:
its 5
Step-by-step explanation:
Can someone help really quickly?
Can you guys please help me!!!!
Answer:
The graph of y = x^3 has been translated 3 units to the right and 4 units upward
Thanks and have a great day!
What is the slope of the graph of 3x - 3y = 6?
Answer:
pls help
Step-by-step explanation:
Haddle wrote a check to the grocery store for $156.00. However, when she looks at her check register later that night, she sees she only has
$122.66 In her checking account. Haddle has opted in to the standard overdraft practices at her bank. How many fees is Haddle likely to pay for
writing the check?
Answer:
she will have one fee for standard overdraft practices and that will prevent a fee from the grocery. store
Step-by-step explanation:
We are told she wrote a check to the grocery store for $156.00.
And that when she looked at her check register later that day, she had only $122.66.
This means she doesn't have sufficient balance for the grocery.
It means the bank will pay the overdraft and it attracts charges which may vary for different banks.
Thus, she will have one fee for standard overdraft practices and that will prevent a fee from the grocery store
Please Help!
Subtract.
(2x^4−x^2+5x−2)−(−x^4+3x^3+2x^2−1)
Answer:
Heya!!
here's your answer
3x^4 − 3x^3 − 3x^2 + 5x −1
Which relation represents a function?
A. (0, 0), (2, 3), (2, 5), (6, 6)
B. (3, 5), (8, 4), (10, 11), (10, 6)
C. (negative 2, 2), (0, 2), (7, 2), (11, 2)
D.(13, 2), (13, 3), (13, 4), (13, 5)
For choices A, B and D, the x values repeat in some way.
Choice A has x = 2 repeated
Choice B has x = 10 repeated
Choice D has x = 13 repeated
A function cannot have repeated x values. Put another way, a function is only possible if any given x input goes to exactly one y output.
Choice C shows each x value listed once only. If you were to graph these points, then the relation will pass the vertical line test.
mrs.jacobson asked her students to write a world problem that describes the graph below. which world problem accurately describes the graph?
Answer:
please attach the graph
-2 ( 1/4x + 2) > or equal to 5
The table shows some values of f(x) and g(x) for different values of x: x f(x) = 15x − 12 g(x) = 3x −2 0.11 −1 −27 0.33 0 −12 1 2 Complete the chart and determine the solution of the equation f(x) = g(x).
Answer:
X=1 or C
I hope this helps:)
Answer:
The Answer is C. x = 1
Hope This Helps!
help...................
Answer:
it is the 1.2 answer
Step-by-step explanation:
Help? Find angle psw
Graph the solutions to I-2 on a number line.
Which of the following is a perfect square trinomial?
A. x + 10x + 20
B.x?+ 10x + 50
C.x + 10x + 25
D.x? + 5x + 10
Answer:
A
Step-by-step explanation:
704% into a fraction
Answer:
7 4/100
Step-by-step explanation:
[tex] \green {\boxed{Answer}}[/tex]
[tex] = 704\%[/tex]
[tex] = \frac{704}{100} [/tex]
[tex] = \frac{704 \div 4}{100 \div 4} [/tex]
[tex] = \frac{176}{25} [/tex]
[tex] = 7 \frac{1}{25} [/tex]
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1. Half of a number is at most 5 units from 14.
Answer:
18≤n≤38
Step-by-step explanation:
If two-fifths of a certain number is subtracted from twice the number, the result is 4. PLS ANSWER
Answer:
4
Step-by-step explanation:
2x-2/5=4
2x= 4+(2/5)
2x= 4/5+20/5
x=(22/5)/2
x= 22/10 or 11/5
check:
2(11/5)-2/5=(22/5)-(2/5)
=20/5
=4
Answer:
213 answer
Step-by-step explanation:
I hope it help
2-83. Build, simplify, and solve each equation. Record your work. Drag the tiles below into the equation mat.
a. -x+ 2 = 4
Answer:
you need to add 2 to the x and convert it to negative X=-2
Step-by-step explanation:
HELP PLEASE !!!!
(2^6)^x=1 what is the value of x?
Answer:
x = 0
Step-by-step explanation:
Using the rule of exponents
[tex]a^{0}[/tex] = 1
Given
[tex](2^{6}) ^{x}[/tex]
= [tex]2^{6x}[/tex]
The only way for this to equal 1 is for x to be zero
Thus x = 0
please help me with this.
Answer:
The answer is c
Step-by-step explanation:
The slope of the equation is
[tex] \frac{6 - 2}{7 - 9} = \frac{4}{ - 2 } = - 2 [/tex]
Let's take a point on the line (x, y)
[tex] \frac{y - 6}{x - 7} = - 2[/tex]
After solving this you can get
[tex]y - 6 = - 2(x - 7)[/tex]
That is the answer
4.5x-1.5y=5.4 solve equation for y
Answer:
y=-3.6+3x
Step-by-step explanation:
Is this a function? Explain
Answer:
Yes
Step-by-step explanation:
The only reason a graph will not be a function is if it doesn't pass the vertical line test. In other words, if you draw a vertical line at any point, it will never pass through more than 1 point.
In that case, that is true, so it must be a function.
9.36 divided by 0.52
Answer:
9.36 / 0.52 = 18
Step-by-step explanation:
Divide them.
Please help me and explain your answer and how you got it.
Answer:
35
Step-by-step explanation:
Its the only one that really makes sense.