3-98. With your team, examine the equations you wrote for parts (b), (c), (g), and (h) of problem 3-97. This pattern is the simplest form of what mathematicians call the Distributive Property. Multiply the following expressions without an area model to write them as sums instead of products. Be ready to share your process with the class. b. 6 1.2 a. 2.r(61 +5) c. a? (4.x - 2y) d. Ty 100 e. -5x(3.7 - 8) 4P
Answers
We have to apply the distributive property to the expression:
\(-5x(3x-8)\)We will solve it as:
\(\begin{gathered} -5x(3x-8) \\ (-5x)\cdot(3x-8) \\ (-5x)(3x)+(-5x)\cdot(-8) \\ -15x^2+40x \end{gathered}\)Answer: -15x^2+40x
Related Questions
Greatest common factor of 15c^2 and 25n
Answers
Answer: 5
Step-by-step explanation:
The greatest common factor of 15c^2 and 25n is 5 because if you divid the two numbers by 5, they will both be in their primal state.
15c^2 / 5 = 3c^2
25n / 5 = 5n
there are 40 students waiting in the line to enter the museum. There are 4 times as many students in the museum as are in line waiting. How many students are in the museum?
Answers
9514 1404 393
Answer:
160
Step-by-step explanation:
The problem statement tells us ...
(# in museum) = 4 × (# waiting)
(# in museum) = 4 × 40 . . . . . . . . . . . . the number waiting is 40
# in museum = 160
Which equation has a graph that is a parabola with a vertex at (5, 3)?
Answers
Answer:
y = a(x² - 10x + 25) + 3
Step-by-step explanation:
From standard form of an equation, of a parabola, we have;
y = a(x - h)² + k
We are told that the parabola has a vertex at (5, 3). Which in essence is (h, x)
Thus;
y = a(x - 5)² + 3
y = a(x² - 10x + 25) + 3
Therefore, the equation that has a graph that is a parabola with a vertex at (5, 3) is;
y = a(x² - 10x + 25) + 3
Answer:
A. y = (x - 5)2 + 3
Step-by-step explanation: edge2021
HELP PLS ILM GOVE EXTRA POINTS
Answers
Answer:
I think it might be A or even C sorry if you get it wrong I don't remember what I answered to this test
Solve 2^x-2=8^4 but not solving for x
Answers
Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.
To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.
First, let's simplify the equation:
2^x - 2 = 8^4
We know that 8 can be expressed as 2^3, so we can rewrite the equation as:
2^x - 2 = (2^3)^4
Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:
2^x - 2 = 2^(34)
Simplifying the right side of the equation:
2^x - 2 = 2^12
Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:
x = 12
Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.
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Help me guys here
NonSense Answer=Report
Answers
What is the effect on the graph of f(x) = 1 when it is transformed to
g(x) = 1 - 16??
Answers
The graph of f(x) is shifted 16 units down
How to determine the effect of the graph of f(x) on the function g(x)?The equation of the functions are given as
f(x) = 1/x
g(x) = 1/x - 16
The transformed function is the function f(x)
i.e. from function f(x) to g(x)
By comparing the functions' equation, we can see that the function f(x) is translated to get to function g(x)
In this case, the function is f(x) is translated down by 16 units to get to function g(x)
So, the graph of g(x) is gotten by translating the function f(x) = 1/x down by 16 units to get to function g(x)
Hence, the graph of f(x) is shifted 16 units down
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Multiply 8-2x/5* 45x^3+90^2/10x^2-20x-80
Answers
Answer:
excuse me can you speak english
convert the following to decimal fractions 99 by 5
Answers
Answer:
divide 99 by 5
99/5= 19.8
Use the unit circle to find the indicated information. Remember to use EXACT VALUES. You can give anglemeasures in degrees or radians.
Answers
Cos(60) = 1/2
Steps:
cos = adjacent / hypotenuse
cos(60) = 1/2 / 1
cos(60) = 1/2
You and 2
2
friends have a job cleaning houses. You split the total money you make so that you each get the same amount. On the first day, you earn $93
$
93
. The second day, you earn $75
$
75
. The third day, you earn $108
$
108
. How much money do you each get for 3
3
days of work?
Answers
The amount of money that each person would get for the three days of work is $92.
How much would each person get?The first step is to add all the money earned on the three days together. Addition is the process of determining the sum of two or more values.
Total amount earned in the 3 days = amount earned on the first day + amount earned on the second day + amount earned on the third day
= $93 + $75 +$108 =$276
The next step is to divide the total amount of money earned in the three days by the total number of people that would share the money. Division is the process of determining the quotient of a number.
The amount of money gotten by each person = total earnings / total number of people
$276 / 3 = $92
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Pls help me I really need help this is due ASAP I’ll brainlest grades close today pls help
Answers
Steps:
(2x+ 1/2) + (9x - 6 1/2)
-1/2. -1/2
2x+9x-6
11x-6
So the final answer is 11x-6
Find the inverse of the function f (x) = 0.25x + 12.
Answers
Answer:
g(x)=4x-48
Step-by-step explanation:
f(x)=0.25x + 12
substitute
f(x) with y
y=0.25x + 12
then replace x with y and y with x
x=0.25y + 12
swap equation
0.25y + 12 = x
0.25y = x - 12
divide both sides by 0.25
Y=4x-48
1/2+(-5/6)+1/4
-7/12
-1/12
1/12
1 7/12
Answers
Answer:
-1/12
Step-by-step explanation:
3/6 + (-5/6) = -2/6
-2/6 = -4/12
1/4 = 3/12
-4/12 + 3/12 = -1/12
Find a, b & c value
Answers
The value of a, b and c are found as 6, 10 and 2 respectively.
Explain about the exponents of the number?Values for exponents, commonly referred to as powers, indicate how many often to multiply a quantity by itself.
For instance, 43 instructs you to divide by three the number four. The base of a power is the integer being increased, and the exponent or power is the superscript number it above base.A number's exponent shows the amount of times the number has been multiplied by itself.The given expression is;
\(4x^{8} y^{c} = \frac{24x^{b}y^{-3} }{ax^{2} y^{-5} }\)
Solving expression using the law of indices.
\(x^{8} y^{c} = \frac{6x^{b-2}y^{-3+5} }{a}\)
\(ax^{8} y^{c} = {6x^{b-2}y^{2} }\)
Comparing powers of both sides:
a = 6
8 = b-2 : b = 10
c = 2
Thus, the value of a, b and c are found as 6, 10 and 2 respectively.
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The expression you wrote for part b represents how the jacks and balls can be split among Harold and his friends. What does each number in the expression represent?
Answers
Answer:
6 represents the number of people among which the balls and jacks will be split.
4 represents the number of balls.
10 represents the number of jacks.
Step-by-step explanation:
This is the PLATO answer, hope it helps :)
Answer:
6
Step-by-step explanation:
Two different students decide to compare their businesses. Scooter makes his own t-shirts,
while Karissa does computer repairs. For both models, x represents the number of sales made
each month and f(x) represents total money for each individual. The two functions below model
their respective businesses:
Scooter: f(x) = 200 + 15x
Karissa: f(x) = 80 + 35x
a. Describe what the slope and y intercept represent for both models based on the context.
Compare the two functions. What is one statement you could say about each?
b.
C.
In one month, Scooter sells 20 shirts. That same month, Karissa does 12 repairs. Who had
the better month?
Answers
a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
How to Describe what the slope and y intercept represent for both models based on the contexta) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.
In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.
Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.
b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.
For Scooter, with x = 20 (number of shirts sold):
f(x) = 200 + 15x
f(20) = 200 + 15 * 20
f(20) = 200 + 300
f(20) = 500
For Karissa, with x = 12 (number of repairs):
f(x) = 80 + 35x
f(12) = 80 + 35 * 12
f(12) = 80 + 420
f(12) = 500
Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
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What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Omar, Hala and Lujain got paid a total of $240 for cleaning neighborhood cars. They split the money in the ratio of 5: 9: 10. How much money did Omar earn?
Answers
Answer:
Total amount Omar earn = $120
Step-by-step explanation:
Given:
Total amount Omar, Hala and Lujain got paid = $240
Ratio of money Omar, Hala and Lujain got paid = 5:9:10
Find:
Total amount Omar earn
Computation:
Total amount Omar earn = [Total amount Omar, Hala and Lujain got paid][Omar'ratio / Total ratio]
Total amount Omar earn = [240][5 / (5+9+10)]
Total amount Omar earn = [240][5 / (24)]
Total amount Omar earn = [24][5]
Total amount Omar earn = $120
Answer these this question please
Answers
Answer:
A=(-13)
B=23
C=7
D=35
E=(-11)
F=(-5)
G=24
H=(-12)
Answer:
A. (-8)+(-5)=-13
B. (+16)-(-7)=23
C. (-11)-(-4)=-7
D. (-17)+(+52)=35
E. (-5)+(-8)+(2)=-11
F. (+6)+(-8)-(+3)=-5
G. (-4)-(-7)+(+21)=24
H. (-1)+(-17)-(-6)=-12
Step-by-step explanation:
these answer should be correct.
Hope this helps
89.36 in word form i have it in expanded form not word form though pls help ??????????????????????????????????????????????????????????????????????///
Answers
Answer:
eighty-nine and thirty-six hundredths
or, simpler:
eighty-nine point thirty-six
or, even simpler:
eighty-nine point three six
Answer:
eighty-nine and thirty-six hundredths
Step-by-step explanation:
whats x+7, y equals and how do i find it?
Answers
The figure HGD was translated 7 units right; and then it was translated 9 units up. This can be shown as:
(x, y) → (x + 7, y + 9)
Answer = 9
If 343x=49^4-x,what is the value of x?
A.5/8
B.8/5
C.2
D.8
Answers
Answer:
B. 8/5
Step-by-step explanation:
1 5 7 8 10 What is the value of c in the equation below? 24.22- abec O 4 VX o-2 1 64 O 1.
Answers
The given expression :
\(2^{-4}.2^2=a^b=c\)We have to find the value of c,
The exponents can aslo express as :
\(\begin{gathered} x^{-y}=\frac{1}{x^y}^{} \\ \& \\ x^n=x\times x\times x\times x\times x\ldots\ldots n\text{ times} \end{gathered}\)and if the base of the exponents are equal then the exponents value will simplify
i.e if they are multiply then the exponents will sum up
and if they divide then the exponents will subtract (Denominator exponent value is subtracted from Numerator exponent value)
\(\begin{gathered} 2^{-4}.2^2=a^b=c \\ \frac{1}{2^4}\times2^2=a^b=c \\ 2^{2-4}=a^b=c \\ 2^{-2}=a^b=c \\ \text{ So, a =2 and b =-2 \& c=2}^{-2} \\ c=2^{-2} \\ c=\frac{1}{2^2} \\ c=\frac{1}{2\times2} \\ c=\frac{1}{4} \end{gathered}\)Answer : D) 1/4
Help Please!!!!!!!!!!!!
Graph x>4.
Answers
Answer:
graph
Step-by-step explanation:
Mr. Cho received a container of fresh eggs. He sold 1/3
of the eggs in the
morning and sold 320 eggs in the afternoon. At the end of the day, he
found that 1/4
of the eggs were not sold. How many eggs did he receive in
the beginning?
Answers
Mr. Cho received 3840 eggs in the beginning.
Let's assume that Mr. Cho received x eggs in the beginning.
In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.
In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.
At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:
3/4 × x = 2/3 × x - 320
Multiplying both sides by 12, we get:
9x = 8x - 3840
Simplifying, we get:
x = 3840
Therefore, Mr. Cho received 3840 eggs in the beginning.
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The diagram below shows the start and finish diagrams of a construction using a compass and straightedge.
Start
Finish
G
Which of the following statements are true about this construction? Select all that apply.
G
O
O
O
O
O
The construction is of a line perpendicular to FG from a point not on FG
The first step of the construction is to draw a circle with center X.
The first step of the construction is to draw the perpendicular bisector of wY
The second step of the construction is to draw the perpendicular bisector of FG.
The second step of the construction is to draw the perpendicular bisector of VwY.q
Answers
Answer:
Choices 1, 2, 4
Step-by-step explanation:
i took the test
The LCM (12, 15, 20, k) = 420. What is the least possible value of k?
Answers
The least possible value of k is 7.
The given numbers;
12, 15, 20, k
LCM of 12, 15, 20, k = 420
The prime factor of each of the given is calculated as;
12 = 2² x 3
15 = 3 x 5
20 = 2² x 5
The LCM = 2² x 3 x 5 = 60
The least possible value of k is calculated as;
60k = 420
\(k = \frac{420}{60} \\\\k = 7\)
Thus, the least possible value of k is 7.
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The projected worth (in millions of dollars) of a large company is modeled by the equation w = 236(1.06) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2011?
A. 6%; $422.64 million
B. 16%; $250.16 million
C. 6%; $448.00 million
D. 16%; $474.88 million
Answers
Answer:
c
Step-by-step explanation:
The base is 1.06, so the annual rate of growth is 6%.
When it is 2011, t=11, so
\(w=236(1.06)^{11} \approx 448\)
On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞).
Answers
The statement that is true about the function is:
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).What is the function of a graph?A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
The minimum value of the curve = (1.9, -5.7),
The maximum value = (0, 2)
The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)
The point the function crosses the y-axis (the y-intercept) = (0, 2)
The given points can be plotted using MS Excel, from which we have:
F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.
Hence, the correct option is A.
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