Answer:
x² + 4x - 12
Step-by-step explanation:
(x + 6)(x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 2) + 6(x - 2) ← distribute parenthesis
= x² - 2x + 6x - 12 ← collect like terms
= x² + 4x - 12
Suppose that we agree to pay you 9¢ for every problem in this chapter that you solve correctly and fine you 5¢ for every problem done incorrectly. If at the end of 42 problems we do not owe each other any money, how many problems did you solve correctly?
42+24n
The factored form is
The expression 42+24n in factor form is 6(7+4n).
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 42+24n
Forty two plus twenty four n.
We need to factor out the expression.
TO do this we have to find the greatest common factor of 42 and 24
The factor of 42 are 1, 2, 3, 6, 7, 14, 21 and 42
The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
The common factors are 1,2,3, and 6.
The greatest common factor is 6.
S0 the expression in factor form is 6(7+4n)
Hence, the expression 42+24n in factor form is 6(7+4n).
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Graph the function. g(x)=2(x-2)^2+2g(x)=2(x−2) 2 +2
Answer:
Vertex (the very top/bottom point of the curve) (2,2) the other point youll wnt to plot is (1,4)
Step-by-step explanation:
this is a screenshot
Mason is building a counter for his uncle. It is going to be 19 1/2 meters long, 8 3/4 meters wide, and 2 meters high. What is the volume of the counter?
Answer:
Volume of the counter = Length × Width × Height
= 19 1/2 × 8 3/4 × 2
= 341 1/4 cubic metres
The corner market sold 24 prints on monday and 18 prints on tuesday how many prints did the market sell on those two days
Answer:Number of prints sold on these two days =42 Prints
Step-by-step explanation:
Number of prints sold on Monday = 24
Number of prints sold on Tuesday= 18
Number of prints sold on these two days =Number of prints sold on Monday +Number of prints sold on Tuesday= 24+ 18 = 42 Prints
Triangle XYZ is reflected across the y-axis, and X = (4, –5). What are the coordinates of X’ ?
Answer:
Step-by-step explanation:
Anytime a reflection takes place across the y axis, the x value does the changing. It's sign becomes the opposite of what it is now.
In plainer language,
the x value = 4It's reflected across the y axis.It's value becomes - 4X' = (-4,-5) The y value of the point does not change.How do I simplify 6x+4x-10(2)
Answer:
10x-20 uhhh yeah that's the answer
One of the teachers at a school is chosen at random. The probability that this teacher is female is 3/5 There are 36 male teachers at the school. Work out the total number of teachers at the school.
Answer:
90 total teachers
Step-by-step explanation:
The total number of teachers at the school is 90 whereas there are 36 female and 54 male teachers.
Probability-based problem:What information do we have?
Probability teacher is female = 3/5
Number of male teachers = 36
Probability teacher is male = 1 - (3/5)
Probability teacher is male = 2/5
Total number of teacher = (5/2)(36) Total number of teacher = (5)(18)Total number of teacher = 90 teachers
the total number of teachers in the school is 90 teachers.
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What is the missing value in the proportion 4/5 = x/30?
A.) 6
B.) 24
C.) 37.5
D.) 29
Answer:
[tex]\displaystyle x = 24[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{4}{5} = \frac{x}{30}[/tex]
Step 2: Solve for x
[Multiplication Property of Equality] Cross-multiply: [tex]\displaystyle 5x = 120[/tex][Division Property of Equality] Divide 5 on both sides: [tex]\displaystyle x = 24[/tex]Order the value of the quotient from the smallest (top) to largest (bottom)
2/7 divided by 4/5
1 6/7 divided by 3
6/11 divided by 2 2/3
3/10 divided by 1/8
Answer:
6/11 divided by 2 2/3 (=9/44)
2/7 divided by 4/5 (=5/14 or 15/42 scaled up)
1 6/7 divided by 3 (= 13/21 or 26/42 scaled up)
3/10 divided by 1/8 (=2 2/5)
Step-by-step explanation:
You cannot divide a fraction by a fraction. Instead, multiply by the reciprocal ( flip it)
2/7 divided by 4/5= 2/7 x 5/4
Multiply straight across the top, 2x5= 10
10 is the numerator
Now multiply straight across the bottom.
7x4= 28
28 is the denominator.
10/28 is the answer to this problem, however it can be simplified. Both 10 and 28 are divisible by 2. This simplifies to 5/14.
For mixed numbers, you first have to make them improper fractions.
Ex: 2 2/3
Take the denominator (3) multiply it by the whole number (2) and add the numerator (2)
3x2=6 (now add the remaining 2 from the numerator) 6+2= 8. 8 is your new numerator and you will keep the existing denominator of 3 making the improper fraction 8/3.
PLEASE HELP ILL GIVE 25 POINTS FOR IT
Write an indirect proof that a right triangle has exactly two acute angles
GIVING BRAINLIEST please answer: Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 12.3 ft. long and 6.9 ft. wide. Carter's bedroom is 10.4 ft. long and 8.2 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your process for figuring out the area of the floor for each bedroom and determining your answer.
Answer:
Carter's bedroom
Step-by-step explanation:
Carley's bedroom :12.3 x 6.9 = 84.87 sq feet
Carter's bedroom : 10.4 x 8.2 = 85.28 sq feet
Answer:
Step-by-step explanation:
Carley's bedroom :12.3 x 6.9 = 84.87 sq feet
Carter's bedroom : 10.4 x 8.2 = 85.28 sq feet
Solve x^2+32=0
Please solve step by step
Answer:
......
...............................
What is the equation of the line perpendicular to 3x+y=6 that passes through the
point (-6, -1)?
Answer: y = -1/3x - 3
Step-by-step explanation:
First, convert this equation into slope intercept form (y = mx + b where m is the slope and b is the y-intercept)
To convert this equation into slope-intercept form, all you have to do is subtract 3x from both sides to give you the equation y = 3x + 6Next, you need to find the slope of your new equation. The slope of a perpendicular line will have a slope that is the opposite reciprocal of the first slope, which means it will have the opposite sign and the fraction will be flipped (even whole numbers are a fraction - they are divided by 1)
Since the slope of the first equation is positive 3, you are going to change the sign to a negative and flip the fraction from 3/1 to 1/3, which gives you a slop of -1/3Now that you have your slop, you need to find your y-intercept. To do this, you use the point that you are given. In the previous step, you figured out the slope, so now you can enter that into your new equation. Then, plug the x-coordinate in for x and the y-coordinate in for y in the equation.
At this point, your equation is y = -1/3x + b. You can plug -6 in for x and -1 in for y to give you the equation -1 = -1/3(-6) + bThe next step is to solve the equation like you would any other equation.
Multiply -6 by -1/3 to get 2, then subtract 2 from -1 to get b = -3Lastly, create your new equation in slope-intercept form with the values you have found.
y = -1/3x -3Good night! I need helppppp with math, easy for most people, just not for me lol
Answer:
3/4 should be left in the bottle
What are the values of T and U?
Answer:
u+133°=180
u=180-133
u=47°
Answer:
U = 47
T = 86
Step-by-step explanation:
133 + U = 180 ( straight line)
or, U = 180 - 133
or, U = 47
Being isosceles triangle
47 + 47 +T = 180
or, 94 + T = 180
or, T = 180 - 94
or, T = 86
hope it will help you
What is the perimeter and area
Answer:
Perimeter = 18
6 + 6 + 3 + 3=18
Area= 18
6 x 3 = 18
Step-by-step explanation:
I hope this can help!!!
Determine Whether 5c/15c^2 +7d is a polynomial. If it is a polynomial, state the degree of the polynomial
Systems of equations by substitution
Answer:
(-2,1)
Step-by-step explanation:
Substitute the value of y (x+3) from one equation into the second equation (2x+5)
X+3 = 2x + 5
add -2x to both sides
-x+3=5
add -3 to both sides
-x=2
x=-2
substitute -2 for x in either equation to find y.
y=-2+3
y=1
Check your answer by substituting x and y into either equat to make sure it equals.
y=x+3
1=-2+3
1=1
or
y=2x+5
1=2(-2)+5
1=-4+5
1=1
find the radian measure of a central angle of a circle with the radius of 13 feet that intercepts an arc of length 26 feet
Answer:
0.64π rad
Step-by-step explanation:
The formula for calculating the length of an arc is expressed as;
length of an arc = theta/360 * 2πr
r is the radius = 13 feet
arc length = 26feet
Substitute
26 = theta/360 * 2(3.14)(13)
26 = 81.64 theta/360
81.64 theta = 26 * 360
81.64 theta = 9360
theta = 9360/81.64
theta = 114.64
Hence the radian measure is 114.64/180 π = 0.64π rad
Please help
How can you describe the graph of the equation y = mx? Explain
Answer:
Every straight line can be represented by an equation: y = mx + b. ... The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
hope this helps.
:)
The amount of money, y, pizzeria K makes by selling x pizzas can be modeled by the equation y = 13x. The relationship of the amount of money pizzeria L makes is shown in the following graph. Which pizzeria makes more money per pizza?
Answer:
Step-by-step explanation:
Complete Question:
The amount of money, y, pizzeria W makes by selling x pizzas can be modeled by the equation y = 15x. The relationship of the amount of money pizzeria L makes is shown in the following graph.
Which pizzeria makes more money per pizza?
A. Pizzeria L makes more money per pizza.
B. Pizzeria W makes more money per pizza.
C. They make the same amount per pizza.
Answer:
B. Pizzeria W makes more money per pizza.
Step-by-step explanation:
The proportional relationship showing how amount of money made(y) is related to the amount of pizzas sold (x) for pizzeria W is given by the equation y = 15x.
the constant of proportionality/unit rate, k = 15.
This represents the amount in dollars, made per pizza.
So, Pizzeria W makes $15 per pizza.
For Pizzeria L, using any point on the line, say, (2, 24),
k = y/x = 24/2 = 12.
This represents the unit rate, which is the amount Pizzeria L makes per pizza.
Thus, Pizzeria L makes $12 per pizza.
We can conclude that, Pizzeria W makes more money per pizza.
Answer:
L
Step-by-step explanation:
PLEASE HELP!!!!!!!!Drag the number cards to create a correct sentence
The sequence that fulfills all the conditions is 4% of 250 = 10.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
From the table and a bit of thinking, we can construct a sequence that has whole value and percentage value as integers.
After trying with different sequences and by hit and trial we found a sequence that is,
4% of 250 = 10 which fills all the conditions.
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This is my last question if you understand this please answer my question.
Answer:
3. reflective property
4.AE=CE
5.<AED=<CED 5.SSS congruence
1. Francis was biking up the hill in the image to the right. The hill made a 45° angle with the
ground. How high off of the ground was Francis when he reached the top of the hill?
what is the diameter of a pond with a area of 4069.44
Answer:
72
Step-by-step explanation:
Formula: A= 3.14r^2
4069.44^2 = 3.14r^2
(divide both sides by 3.14)
1296=r^2
(find sqr root of 1296)
36=r
to find the diameter with the radius, multiply radius by 2... 36*2= 72
The diameter of a pond with an area of 4069.44^2 is 72!
Hope this helps anyone :)
Barry has 1/3 of bag a candy left over from his party. Of this candy, 1/3 of it is chocolate. How much of the total bag is chocolate?
Answer:
1/6
Step-by-step explanation:
if there is 1/3 bag of candy, 1/3 of 1/3 is 1/9
Answer:
its 1/9
Step-by-step explanation:
In ΔKLM, the measure of ∠M=90°, LK = 97, ML = 65, and KM = 72. What is the value of the sine of ∠L to the nearest hundredth?
Answer:
Step-by-step explanation:
Answe is 0.74
Answer:
cosL=adjacenthypotenuse=817≈0.4706≈0.47cosL=hypotenuseadjacent=178≈0.4706≈0.47
Step-by-step explanation:
KLM15817(opposite of ∠L)(adj. to ∠L)(hypotenuse)Find cosLFind cosLSOH CAH TOASOH CAH TOA
cual es la fraccion intermedia de 2\4 y 3\4
Answer:
10t-2b-2
Step-by-step explanation:
5+2-2123
12x-4y=24 solve for y