Answer:
2. When completing the square, add the square of half the coefficient of x to both sides of the equation.
Step-by-step explanation:
1. When completing the square, add the square of half the coefficient of x to only the x^2+bx side of the equation.
False, it is added to both sides
2. When completing the square, add the square of half the coefficient of x to both sides of the equation.
True
3. When completing the square, subtract the square of half the coefficient of x from both sides of the equation.
We add it to both sides
4. When completing the square, add half the coefficient of x to both sides of the equation.
False we add the square to both sides
Answer:
[tex]\huge \boxed{\mathrm{Option \ 2 }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
When completing the square, we add the square of half the coefficient of x to both sides of the equation.
[tex]\Longrightarrow \ \displaystyle ( \frac{b}{2} ) ^2[/tex]
Where b is the coefficient of x in the equation.
[tex]\rule[225]{225}{2}[/tex]
Please please help me please
Every month, Rachel gets a basic salary of $4000. He also get a bonus of $200 for each policy she sells and a bonus of $50 for each client's complaint she resolves. Write an expression for her total salary for a month if she sells n policies and resolves x complaints.
Answer: $4000 + $200n + $50x
Step-by-step explanation:
From the question, we are informed that every month, Rachel gets a basic salary of $4000 and also get a bonus of $200 for each policy she sells and a bonus of $50 for each client's complaint she resolves.
The expression for her total salary for a month if she sells n policies and resolves x complaints will be:
= $4000 + ($200 × n) + ($50 × x)
= $4000 + $200n + $50x
A bag contains red and blue pens in the ratio 2:7. There are 18 red pens in the bag. How many blue pens are in the bag?
blue pens= 63
Step-by-step explanation:
answer of question
Answer:There are
49
blue balls in the bag.
Explanation:
The ratio of red balls and blue balls in a bag is
2
:
7
i.e for every
2
red balls there are
7
blue balls. So for
14
red balls there are
14
----
2
⋅
7
=
49
blue balls.[Ans]
Rental of space = $68 per guest; Downpayment = 25% of total cost; Payment due one month before the reception includes a 7.4% interest payment on the balance.
This question is incomplete, the complete question is;
PROBLEM SOLVING WITH PERCENTS: You are planning a wedding reception for 75 guests that will take place in exactly 10 months. There are two different sites that you are contemplating using, with the stipulations on payments as described below. Determine the TOTAL cost of renting each location.
Rental of space = $68 per guest; Down payment = 25% of total cost; Payment due one month before the reception includes a 7.4% interest payment on the balance.
Answer: Total Cost of Renting = $5312.29
Step-by-step explanation:
Given that;
Rental space = $68 per guest, down payment = 25%, 7.4% interest payment on the balance.
Total Cost of Renting = Down Payment + Remaining payment
Total Cost of Renting = $68 × Guests × 25% + ($68 × Guest - Down payment) × (1 + Interest *9/12)
Total Cost of Renting = $68 × 75 × 25% + ($68 × 75 - Down payment) × (1 + 7.40% × 9/12)
Total Cost of Renting = $1275 + ($5100 - 1273) × (1.0555)
Total Cost of Renting = $1275 + 4037.29
Total Cost of Renting = $5312.29
hello I need help solving combining like terms
-7x+9x
-5-8n-3
1+9v-5+4v
Answer:
1. 2x
2. -8n - 8
3. 13v - 4
Step-by-step explanation:
1. Put them nto standard form, it makes adding and subtracting easier
[tex]9x - 7x\\\\-8n - 5 - 3\\ 9v + 4v - 5 + 1[/tex]
In the expression 11 + 3n, the coefficient is 11.
(1 point)
O This statement is false. In the expression 11 + 3n, the coefficient is 3.
This statement is true.
This statement is false. In the expression 11 + 3n, the coefficient is n.
This statement is false. In the expression 11 + 3n, the coefficient is +
Answer:
This statement is false. In the expression 11 + 3n, the coefficient is 3.
Step-by-step explanation:
Given
Expression: 11 + 3n
Required
Is 11 the coefficient?
In the given expression, there are two expression;
11 and 3n
Explaining 11
11 is just a constant as it doesn't have any variable attached to it
Explaining 3n
This can be expressed as 3 * n
As such;
[tex]3[/tex] is the coefficient and [tex]n[/tex] is the variable
Hence;
Option A answers the question
10a -5ab+ 4b
(if a = 2/5 and b =-1/6)
Answer:
11/3 or 3 2/3 (sry if its wrong)
Step-by-step explanation:
A parallelogram has sides lengths of 7 inches and 11 inches. Find the prerimeter
Answer: 36 in
Step-by-step explanation:
the formula for perimeter: 2(l+w)
length: 7
width/length: 11
2(l+w)
=2(7+11)
=2(18)
=36 in
Hope this helps!! :)
Please let me know if you have any question
Answer:
The perimeter of the parallelogram is 36 inches.
Step-by-step explanation:
The perimeter of a parallelogram is the addition of all of its side lengths. In a parallelogram, each side length is repeated twice. The perimeter can thus be represented by the following formula:
P = length + length + width + width
Now, we can substitute in the values that we are given in the problem.
P = 11 + 11 + 7 +7
Next, we simply have to add together the remaining values to simplify.
P = 36 inches
Therefore, the perimeter is 36 inches.
Hope this helps!
Which transformation maps the pre-image to the image? A. dilation B. stretch C. reflection D. rotation
Answer:
the answer is b. stretch.
Step-by-step explanation:
the side measure 4 is the same for the image as it is for the pre-image. the side measure 8 on the pre-image is 6 for the image. when only one measure changes its a stretch.
The figures' transformation maps the pre-image to the image is stretch .
What is pre-image to the image?The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
According to question
Length of 1st figure = 8
Width of 1st figure = 4
Length of 2nd figure = 6
Width of 2nd figure = 4
as we can conclude that only length is change not breath
that means it is stretch .
Hence, Figures' transformation maps is stretch .
To know more about pre-image to the image here :
https://brainly.com/question/18159367
# SPJ2
solve the equation x over 4 = 12 over 6
Answer:
x = 8
Step-by-step explanation:
Solve for x:
x/4 = 12/6
Hint: | Reduce 12/6 to lowest terms. Start by finding the GCD of 12 and 6.
The gcd of 12 and 6 is 6, so 12/6 = (6×2)/(6×1) = 6/6×2 = 2:
x/4 = 2
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of x/4 = 2 by 4:
(4 x)/4 = 4×2
Hint: | Cancel common terms in the numerator and denominator of (4 x)/4.
(4 x)/4 = 4/4×x = x:
x = 4×2
Hint: | Multiply 4 and 2 together.
4×2 = 8:
Answer: x = 8
implify the expression 10+54/4^2 using PEMDAS. Round to the thousandths place (three places past the decimal)
Answer: 13.375
Step-by-step explanation:
PEDMAS is a sequence of following operations:
Parenthesis, exponents, multiplication, division, addition, subtraction.
The given expression: [tex]10+\dfrac{54}{4^2}[/tex]
According to Pedmas , the first operation we need to simplify is " exponents"
[tex]10+\dfrac{54}{4^2}=10+\dfrac{54}{16}\\\\=10+3.375\ \ \ [\dfrac{54}{16}=3.375]\\\\= 13.375[/tex]
Hence, the simplified answer is 13.375 .
Answer:
16
Step-by-step explanation:
[tex] \frac{3}{4} |m - 2n {}^{2} | [/tex]
If m = -4 and n=6
1/4 > 1. Order the following rational numbers from greatest to least: 25% - 0.17 3 5 1.2 - 12 First convert these numbers to decimal form. Show your work below. You can write on the screen! Next, grab the numbers in the list and place them in order from GREATEST to LEAST!
Answer:
1.2, 3/5, 25%, 0.17, -12
Step-by-step explanation:
In order to put these from greatest to least, you must put these in like terms.
Since there are more decimals that other terms, we're going to convert them all to decimals.
25%= 0.25
0.17= 0.17
3/5= 0.60
1.2= 1.20
-12= -12.00
Now that we see which numbers are greater, we convert them back to their original terms and place them in order from greatest to least.
1.2, 3/5, 25%, 0.17, -12
Graph of Parent Functions
Answer:
A parent function is the simplest function of a family of functions. of this form is y = x2. The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II.
Hope it helped u if yes mark me BRAINLIEST pzllzllzl plzz plzzz
Tysmm
Answer:
d. Absolute value.
To remember the general shape of an absolute value graph, think about the shape of the "v" in absolute value.
Four mathematicians have the following conversation:
Alice: I am insane.
Bob: I am pure.
Charlie: I am applied.
Dorothy: I am sane.
Alice: Charlie is pure.
Bob: Dorothy is insane.
Charlie: Bob is applied.
Dorothy: Charlie is sane.
You are also given that:
● Pure mathematicians tell the truth about their beliefs.
● Applied mathematicians lie about their beliefs.
● Sane mathematicians beliefs are correct.
● Insane mathematicians beliefs are incorrect.
Describe the four mathematicians.
Answer: plz mark as brainliest
Step-by-step explanation:The table below shows the net effect of a person’s mental state and occupation on his or her truth telling.
Suppose that Dorothy is telling the truth. Then she is sane (and hence a pure mathematician) and Charlie is sane. Bob says that Charlie is insane, so Bob is not telling the truth. Since he says he’s pure, he’s actually applied and hence Charlie is telling the truth. But then he’s applied and sane applied mathematicians do not tell the truth. This is a contradiction.
Therefore, Dorothy is not telling the truth. Thus, both Charlie and Dorothy are insane (hence Dorothy is pure). Consequently, Bob is telling the truth. Therefore Bob is pure (and sane, since he is a truth teller). Since Charlie says that Bob is applied, he is not telling the truth. Since we know that he is insane, he must be pure.
Since Alice says that Charlie is pure, she is telling the truth. Therefore she is insane and consequently applied.
In summary:
Alice is an insane applied mathematician.
Bob is a sane pure mathematician.
Charlie is an insane pure mathematician.
Dorothy is an insane pure mathematician.
Alice: Alice claims to be insane. If she is telling the truth, then her belief is incorrect, and she is, in fact, sane.
What is a mathematician?Mathematicians and statisticians solve problems in industry, academia, and government by using formulas and data.
Alice: Alice claims that she is insane. If she's telling the truth, her belief is incorrect, and she's perfectly normal. Alice is thus either pure or applied.
Bob: Bob declares himself to be pure. Bob's belief is correct, and he is indeed pure, because pure mathematicians tell the truth.
Charlie claims to be applied, but Alice claims Charlie is pure. Alice's claim about Charlie is true because applied mathematicians lie, and Charlie is actually pure.
Dorothy: Dorothy asserts that she is sane. Dorothy's belief is correct, and she is indeed sane, because the beliefs of sane mathematicians are correct.
Therefore, the four mathematicians are Alice (either pure or applied), Bob (pure), Charlie (pure), and Dorothy (sane).
For more details regarding mathematicians, visit:
https://brainly.com/question/30613154
#SPJ3
What is the value of m in the equation 1/2m -3/4n=16,when n=8?
A:20
B:32
C:44
D:48
Which expression models the following
phrase: "an hourly wage of $12.75"?
Answer:
h = number of hours worked
m = total wage of worked hours
12.75h = m
-3(-4b - 7n) use n = 8 and b = 2 show works plsssssss
Answer:
192
Step-by-step explanation:
-3(-4(2) - 7(8))
= -3(-8 - 56)
= -3(-64)
= 192
*Negative x negative = positive
plz give me correct answer.....correct answer will be marked BRAINLIEST and be followed...
Answer:
a+b+c+d+e+f=540.
Angles in a triangle=180.
3 triangles=180×3=540.....
Solve 2(x + 1) = 2x + 5
Answer:
no solution
Step-by-step explanation:
Given
2(x + 1) = 2x + 5 ← distribute parenthesis on left side
2x + 1 = 2x + 5 ( subtract 1 from both sides )
2x = 2x + 4 ( subtract 2x from both sides )
0 = 4 ← not possible
This indicates the equation has no solution
Answer:
See below
Step-by-step explanation:
● 2(x+1) = 2x +5
Multiply 2 by (x+1)
● 2x + 1×2 = 2x+5
● 2x + 2 = 2x+5
Substract 2x from both sides
● 2x+2-2x = 2x+5-2x
● 2 = 5
This is impossible, so this equation has no solution.
Audrey sells closet organization systems. She is paid a commission of 5.14% of her first $1500.00 in sales during the week and 10% on all sales over $1500.00. What is her commission in a week during which she sells $7500.00 worth of closet organization systems?
Answer:
$827.1Step-by-step explanation:
We proceed to calculate the 5.14% of the $1500 in sales during the week
Hence she is paid 1500*(5.14/100)
= 1500*0.0514
= $77.1
And also she is paid 10% of sales over $1500 and she made sales of $7500
her commission is
= (10/100)*7500
=0.1*7500
= $750
Hence in all for the week her commission will be (if she sells $7500)
= 77.1+750
= $827.1
A rectangle has a length of (2m - 5) inches and a width of (4m - 2) inches. If the rectangle has a perimeter of 382 inches, then what is the length & width of the rectangle?
Answer:
length = 56.33 inches
width =120.64 inches
Step-by-step explanation:
answer attached
Please help. Will mark brainliest. Question 1 & 2:
Answer:
see below
Step-by-step explanation:
f(x) when x =10
The part that applies when x=10 is x^2 +3
f(10) = 10^2 +3
= 100+3
= 103
f(x) when x =-10
The part that applies when x=-10 is none
There is no part that applies ins -10 < -3
We cannot find a solution since x is in any defined region
On a math test, 30 students earned a B. This number is exactly 40% of the total number of students in the class. How many students are in the class
Answer:
75 students
Step-by-step explanation:
divide by .4
A Student built a tent-shaped like a rectangular box for science experimentation, The tents is 3 yards wide, 5 yards long 2 yards high, what is the volume of the tent in cubic meters (m^3)?
Answer:
30 meters^3
Step-by-step explanation:
volume is l x w x h
so the formula would be 5x3x2
which is 15x2
therefore the answer is 30
The area of the top face of a cube is 9 square centimerers. Use 9 of these cubes to make a rectangular prism. What is the volome of the rectangular prism?
Answer:
243 cm³
Step-by-step explanation:
A cube has the same measure in length, width and height. So, we know that the area of the top face of a cube is 9 square centimeters, this means that
Length x width = 9 square centimeters
But, since length and width are the same, we have that they are equal to [tex]\sqrt{9} =3[/tex] cms (since 3² = 9).
Thus, the volume of each cube is 3³ = 27 cm³
We are going to use 9 of these cubes to make a rectangular prism, therefore, the volume of this prism is going to be 9 times the volume of each cube.
Volume of prism = 9 (27) = 243 cm³
Answer:
243 cm³
Step-by-step explanation:
Hope this helps
A group of friends were working on a student film that had a budget of $800. They used 75% of their budget on costumes. How much money did they spend on costumes?
Answer:
They spent $600 on costumes.
Step-by-step explanation:
10% = $800 ÷ 10 = $80
20% = $80 x 2 = $160
50% = $800 ÷ 2 = $400
5% = $80 ÷ 2 = $40
400 + 160 + 40 = $600
Hope this helps!
Answer:
budget=$800
used money percent=75%
Now,
spend money
=75×800/100
=75×8
=$600
Solve the system of linear equations in two variables by elimination or substitution.
y=1 + x
2x+y=-2
Answer: x=-1, y=0
Step-by-step explanation:
y=1+x
2x+y=-2
-----------------
#1 Elimination #2 Substitution
y=1+x y=1+x
2x+y=-2 2x+y=-2
---------------
-x+y=1 2x+(1+x)=-2
2x+y=-2 2x+1+x=-2
--------------- 3x+1=-2
-2x+2y=2 3x=-3
2x+y=-2 x=-1, y=0
--------------
3y=0
------------
y=0, x=-1
Hope this helps!! :)
Please let me know if you have any question
Solve this linear equation
a+b=8
a-b=4
Answer:
a = 12 b = -4
Step-by-step explanation:
To solve this equation it would be easiest to use the elimination method
a + b = 8
a - b = 4
a = 12
Now all we have to do is substitute 12 for a in any equation. For this I will use the first one.
12 + b = 8
Lastly subtract 12 from both sides
b = -4
Answer:
a = 6 , b = 2
Step-by-step explanation:
a+b - (a-b) = 2b
8 - 4 = 4
2b = 4
b = 4 ÷ 2
b = 2
When b = 2,
a+2 = 8
a = 8 - 2
a = 6
Expand (6 − )(6 + ). *