Simplify (10y - 5g)(3s + 6g) using foil method
Answers
The solution is on the paper.
Related Questions
if u answer this can u help me with the other questions ??
Answers
Answer:
B=2, C=3, D=4, E=5
The graph shows the printing rate of Printer A. Printer B can print at a rate of 25 pages per minute.
How does the rate for Printer B compare to the rate for Printer A? Use the drop-down menus to explain your answer.
Answers
The unit rate of Printer B = 25 pages per minute, which is greater than the unit rate of Printer A that is 15 pages per minute.
How to Find the Unit Rate of a Linear Graph?The unit rate of a graph can b determined by using any point, (x, y), on the graph and solve by finding, m, which is the ratio of y to x, if x and y represents the variables of the relationship that is graphed.
Thus, unit rate (m) = y/x.
The printing rate for Printer A is represented by the graph. To find the unit rate for Printer A, use a point on the graph, (2, 30) to find the unit rate, m.
Printer A's Unit rate (m) = y/x = 30/2
Printer A's unit rate (m) = 15 pages per minute.
The printing rate for Printer B is given as 25 pages per minute. 25 pages per minute is a greater unit rate compared to 15 pages per minute.
Therefore, we can conclude that Printer B has a greater printing rate than Printer A, because the unit rate of 25 pages per minute is greater than 15 pages per minute.
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Write answer in scientific notation
(1.94 × 10³) (8 × 10")
Answers
Scientific notation the
Write the equation of the line in the slope-intercept form which is parallel to
y = −2x +5 and passing through the point (1, −4)
Answers
The equation of the line that is parallel to the line y = −2x +5 and passing through the point (1, −4) is y = -2x - 2.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
The slope of two parallel lines is always the same.
The slope y-intercept form of an equation is y = mx + c where m is the slope.
Given the parallel equation y = -2x + 5 by compare slope = -2
Therefore,the equation will become y = -2x + c
Substitute,(1,-4) into this
-4 = -2(1) + c ⇒ c = -2
So equation converts as y = -2x - 2.
Hence "The equation of the line that is parallel to the line y = −2x +5 and passing through the point (1, −4) is y = -2x - 2".
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select all the equations that have the same solution as the equation 3x-12=24
Answers
The equation that have same solution to 3x-12=24 is 4x - 30 = 18.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
The equation given is illustrated as:
3x - 12 = 24
Collect like terms
3x = 24 + 12
3x = 36
Divide through by 3.
3x / 3 = 36 / 3
x = 12
In this case, 4x - 30 = 18 will be:
4x - 30 = 18.
Collect like terms
4x = 18 + 30.
4x = 48
Divide
x = 48/4
x = 12
Therefore, 4x - 30 = 18 has same solution.
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8g - 7 = 18 + 3g
SOLVE EQUATION PLEASE
Answers
Answer:
g = 5
Step-by-step explanation:
8g - 7 = 18 + 3g
add 7 to both sides:
8g - 7 + 7 = 18 + 3g + 7
8g = 25 + 3g
subtract 3g from both sides:
8g - 3g = 25 + 3g - 3g
5g = 25
divide both sides by 5:
5g/5 = 25/5
g = 5
-8g. -8g
-7=18-5g
-18 -18
25=-5g
/5 /5
G=5
24. Oranges were packed in boxes of 90. There were 5 packed boxes. 1/5 of the oranges were rotten How many oranges were not rotten? |giving 30 pints!!
Answers
Answer:
Find the total number of oranges.
Total oranges = 90 × 5
= 450
Since 1/5 were rotten oranges,
Fraction of oranges that were not rotten
= Fraction of total oranges - Fraction of rotten oranges
= 5/5 - 1/5
= 4/5
Number of oranges not rotten = 4/5 × 450
= 360
Which function is the inverse of f(x) = 8x + 4?A. 5-18) = —841 – 4)B. 7-14x) = 554OC. 5-11%) = 8.1 – 4)OD. 1x) = -1
Answers
ANSWER:
[tex]f^{-1}(x)=\frac{x-4}{8}[/tex]STEP-BY-STEP EXPLANATION:
We have the following function:
[tex]f(x)=8x+4[/tex]We calculate the inverse function as follows:
[tex]\begin{gathered} x=8\cdot f^{-1}(x)+4 \\ 8\cdot f^{-1}(x)=x-4 \\ f^{-1}(x)=\frac{x-4}{8} \end{gathered}[/tex]after 4 years what is a total amount of a compound interest investment of $30,000 at 2% interest compounded monthly?round to the nearest cent
Answers
Compound interest formula:
A = P (1+r/n)^nt
Where:
A = total amount
P = principal investment
r= interest rate in decimal form = 2/100 = 0.02
t= years
n= number of compounding periods in a year= 12
Replacing:
A = 30,000 (1+0.02/12)^4x12
A = 30,000 (1.001666667)^48
A= 32,496.45
Classify the triangle with sides of lengths 25 ft, 23 ft, and 8 ft.
equilateral triangle
O scalene triangle
isosceles triangle
Answers
all sides have different lengths
On the map, 0.1 inches represents
25 miles. If the real distance between
two cities is 112.5 miles, what is the
distance between their locations on
the map?
A. 0.45 in
B. 2 in
C. 0.2 in
D. 1 in
Answers
The distance between the two cities on the map is 0.45 inches , the correct option is (A) 0.45inches .
In the question ,
it is given that
the scale factor of the map is 25 miles = 0.1 inches
So, 1 mile = 0.1/25 inches
= 0.004 inches
So , on the map 1 mile is represented by 0.004 inches
Given that the real distance between the two cities is 112.5 miles
So , on the map 112.5 miles = 112.5*0.004 inches
= 0.45 inches
Therefore , the distance between the two cities on the map is 0.45 inches , the correct option is (A)0.45inches .
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Which of the following equations have infinitely many solutions?
Choose all answers that apply:
A. −76x+76=76x+76
B. −76x+76=−76x+76
C. 76x+76=76x+76
D. 76x+76=−76x+76
Answers
The two equations with infinitely many solutions are the ones in options B and C.
−76x+76=−76x+7676x+76=76x+76Which of the given equations has infinitely many solutions?An equation only has infinitely many solutions if we have a true equation that does not depend of x.
For example, if you look at option B, we have:
-76x + 76 = -76x + 76
We have the same expression in both sides, if we subtract it in both sides we get:
0 = 0
This is true, and does not depend of x, so this equation has infinitely many solutions.
The same thing happens for equation C.
76x+76=76x+76
Where we have the same thing in both sides.
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in the diagram below , the measure of arc SQ is 160 degrees and the measure of arc PR is 102 degrees . find the value of x .
Answers
Given:
The measure of angle of arrc SQ is 160°.
The measure of angle of arc PR is 102°.
The objective is to find the measure of angle x.
Since, the angle x is away from te center of the circle.
Then, the formula to find the value of angle x is,
[tex]x=\frac{PR+SQ}{2}[/tex]Now, substitute the given values in the above formula.
[tex]\begin{gathered} x=\frac{102+160}{2} \\ =\frac{262}{2} \\ =131\degree \end{gathered}[/tex]Hence, the value of x is 131°.
Please help me find this
Answers
Center of circle = (-3, 6)
Diameter = 6
General equation of circle: x² + y² = r²
our answer will be in the form:
(x+a)² + (y+b)² = r²
Substitute center values and radius:
a = 3 (x was -3 but we don't trust it! It should be positive instead of negative)
b = -6 (same rules apply. Don't trust the value in the center. Its the opposite.)
r = 6/2 which is 3
answer: (x+3)² + (y-6)² = 3²
Create an equivalent expression for 17^-7 • 17^5.
1/17²
1/17-²
17²
-17²
Please please pleaseee! I’m so dead if I don’t get this!
Answers
The equivalent expression for the indices is 17⁻⁷ × 17⁵ is 1/17²
How to create an equivalent expression for 17⁻⁷ × 17⁵?Index is the power or exponent which is raised to a number or a variable e.g in number 3⁵, 5 is the index of 3. The 3 is called the base. The plural form of index is indices.
We have different Laws of Indices, but the one applicable to this question is the product law and reciprocal law.
Product law: To multiply two variables or numbers with the same base, we need to add their powers and raise them to that base": 5² x 5³ = 5²⁺³ = 5 and P⁴ + P⁶ = P¹⁰
Reciprocal Law: If the index is a negative value, then it can be shown as the reciprocal of the positive index raised to the same variable:
8⁻² = 1/8² and b⁻⁶ = 1/b⁶
Let's use the two laws to create an equivalent expression for 17⁻⁷ × 17⁵:
17⁻⁷ × 17⁵ = 17⁻⁷ ⁺ ⁵ = 17⁻² = 1/17²
Therefore, the equivalent expression for 17⁻⁷ × 17⁵ is 1/17². The 1st option is the answer.
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Mrs. brown is putting different colored sand into cups for 4 daughters to make sand art bottles . pink is 3/4 and purple is 1/2. each color is divided equally among the daughters how much more pink sand will be available than purple sand for each girl
Answers
Using mathematical operations, we can say that the extra pink sand avaliable to each girl is 1/16.
What are mathematical operations?A function in mathematics known as an operation is one that transforms zero or more input values into a clearly defined output value. The operation's complexity is determined by its operand count. The rules that specify the order in which we should perform several operations to solve an expression are known as the order of operations. Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction are in the following order: PEMDAS (from left to right).So, more pink sand is available to each girl:
Pink sand is 3/4 and purple sand is 1/2.Sand available to each girl:
Pink: 3/4 ÷ 4 ⇒ 3/4 × 1/4 ⇒ 3/16Purple: 1/2 ÷ 4 ⇒ 1/2 × 1/4 ⇒ 1/8Pink sand more to each girl:
3/16 - 1/83 - 2/161/16Therefore, using mathematical operations, we can say that the extra pink sand avaliable to each girl is 1/16.
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a particular community in the mid west experiences on average 3.9 tornadoes every year. what's the probability that the next tornado comes after 7 months have passed? give your answer in decimal form with three significant digits.
Answers
0.8973 is the probability that the next tornado will occur within the next seven months.
Applying the rule of three, we can infer that since the average number of tornadoes in a year is 3.9, the average number of tornadoes in a nine-month period is 3.9*7/12 = 2.275. It is reasonable to believe that the distribution of tornadoes over time is Poisson. Let's refer to X as the number of tornadoes in a seven-month period. X has a Poisson distribution with a parameter of 2.27.
The probability of X being greater than or equal to 1 is equivalent to the likelihood that the next tornado will occur within the next seven months.. However P(X≥1) = 1-P(X=0), and
[tex]p(X=0) = (e^{2.275} * 2.275^{0}) / 0![/tex] = 0.1027
Thus, the probability that the next tornado comes within the next 7 months is 1-0.1027 = 0.8973.
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what is the size of the angle between south and south east
Answers
The angle between north and south = 180°. The angle between East and South = 90°. The angle between South and West is 90° and between South and East is also 90°. So the sum of these two angles is equal to 180°. Since these two angles are adjacent to each other so they form a linear pair.
With the exception of column one, all amounts are in dollars. What is starting principal of the loan? Give your answer in dollars to the nearest dollar. Do not include commas or the dollar sign in your answer.
Answers
SOLUTION
First let us get the monthly rate
This can be gotten using the formula
[tex]P\times\frac{r}{12}=i[/tex]Where P is principal,
r is the percent interet rate per year, so to get monthly interest is divide by 12
i is the monthly interet.
Using column 1 to determine the rate, we have
[tex]\begin{gathered} P\times\frac{r}{12}=i \\ 149,783.55\times\frac{r}{12\times100}=748.92 \\ \frac{149,783.55r}{1200}=748.92 \\ r=\frac{1200\times748.92}{149,783.55} \\ r=6\text{ percent} \end{gathered}[/tex]Now, the interest rate r = 6%
The starting principal becomes
[tex]\begin{gathered} P\times\frac{6}{12\times100}=750 \\ \frac{6P}{1200}=750 \\ P=\frac{750\times1200}{6} \\ P=150000\text{ dollars } \end{gathered}[/tex]Therfore, the answer is 150000 dollars
Please help I answered all the questions that I could but this one I don’t understand! If someone couple please help that would be amazing!
Given the function:
Find the following values.
g(x)=-2-2.5x
a) g(4)
g(4) =
b) g(0)
g(0) =
c) g(-4)
g(-4)=
Answers
Wherever you see the letter [tex]x[/tex] in the equation, you write [tex]4[/tex], [tex]0[/tex] or [tex]-4[/tex] and perform arithmetic operations. Good luck!
The table shows the distances between major cities.
New York to Paris 3,636 miles
Los Angeles to Toronto 2,171 miles
Mr. Santiago has a flight from Los Angeles to Toronto. If the plane travels at 520 miles per hour, how many hours long is the flight?
__ hours
Answers
Answer:
The time take for the journey can be calculated by dividing the total distance by the distance travelled in an hour.
Which is 2171 (Total distance) / 520 (Distance travelled in a hour)
[tex]2171/520 = 4.175[/tex]
Which can be rounded of to 4.2
It takes 4.2 hours for the flight between Los Angeles and Toronto
Determine whether there is enough information to conclude that the triangles are congruent. If so, select the theorem
you used.
Given: TR intersects NP, TU RU, NU - PU
Is ATUN ARUP?
N
No. There is not enough information to conclude that the triangles are congruent.
SAS
Yes. There is enough information to conclude that the triangles are congruent.
ASA
SSS
Previous
Answers
Answer:
SAS
Step-by-step explanation:
If P(x) = 5x and R(x) = 3x - 7, find P(x) • R(x).
P(x)•R(x)=___
Answers
According to the factor theorem, if "a" is any real integer and "f(x)" is a polynomial of degree n larger than or equal to 1, then (x - a) is a factor of f(x) if f(a) = 0.Finding the polynomials' n roots and factoring them are two of their principal applications.
Calculate p(x(*r(x)?
The factorization of 62 + 17x + 5 by dividing the middle word can be used as an illustration of the factor theorem.In this example, two numbers, "p" and "q," can be discovered in such a way that p + q = 17 and pq = 6 x 5 = 30.One can then obtain the factors after that. A factor of | A | is (x - a) if each member of matrix A is a polynomial in x and | A | vanishes for x = a.When p(x) is divided by xc, the result is p if p(x) is a polynomial of degree 1 or higher and c is a real number (c).For some polynomial q, p(x)=(xc)q(x) if xc is a factor of polynomial p.Consequently, p(c)=(cc)q(c)=0, indicating that c is a polynomial zero.
I This theorem comes in very handy when we need to determine the determinant's value in "factors" form.
p(x) =5x
r(x) = 3x - 7
p(x)×r(x) =
=5x(3x-7)
5x² - 7
2×15x²-1
= 30x
p(x)*r(x) = 30x
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Practice Problems
1. Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels
22 meters in 10 seconds. Who was moving faster? Explain your reasoning
2. Here are the prices for cans of juice that are the same brand and the same size at
different stores. Which store offers the best deal? Explain your reasoning
Store X: 4 cans for $2.48
per can
Store Y: 5 cans for $3.00
Store Z: 59 cents
Topic B
3. Costs of homes can be very different in different parts of the United States.
1. A450-square-foot apartment in New York City costs $540,000. What is the
price per square foot? Explain or show your reasoning
2. A 2,100-square-foot home in Cheyenne, Wyoming, costs $110 per square
foot. How much does this home cost? Explain or show your reasoning
4. There are 33.8 fuld ounces in a liter. There are 128 fuid ounces in a galon. About
how many liters are in a gation?
A 2
B. 3
C. 4
D. 5
Is your estimate larger or smaller than the actual number of liters in a gallon? Explain
how you know.
-
Answers
Answer:
1. Mai was moving faster as she covered a greater distance in the same amount of time.
Speed = Distance
-----------
Time
2. The best deal is Store Z. We must divide to determine the price each business is charging for a single can in order to particularly choose the greatest deal.
For Store X, each can is $0.62
For Store Y, each can is $0.60
Store Z is the best deal due to how cheap each can of juice costs.
3 (Part 1) It costs $1,200 for each square foot. The cost of the apartment is $540,000 & the area of the apartment is 450 feet. You can divide 540,000 by 450 and you should get 1,200.
3 (Part 2) The home costs $231,000. You can use the two numbers in the question "2,100" and "110". You should get $231,000 after adding those two numbers.
4. Approximately 3.8 liters are in a gallon. 3.8 is closest to 4 so you can round it up to 4 liters.
Step-by-step explanation:
what is the effect on the graph of the function f(x) = x² when f(x) is changed to f(x + 8) ?A) shifted upB) shifted leftC) shifted right D) shifted down
Answers
Solution
- The rule for this transformation is given below:
[tex]\begin{gathered} f(x)\to f(x+h) \\ when\text{ h is positive, then, the graph is shifted left} \\ when\text{ h is negative, then, the graph is shifted right} \end{gathered}[/tex]- Based on this rule, f(x + 8) will shift the graph 8 units to the left
Final Answer
Shifted left (OPTION B)
. of the 27 tasks available, 3 will pay $1000, 5 will pay $500, 10 will pay $200, and 9 will pay $100. you are assigned two tasks. what is the probability that you will make at least $1300?
Answers
The probability that you will make at least $1300 is 2/39 or 0.0513.
Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.
probability = desired outcome / total outcomes
Using combinations, if there are 27 tasks available, then there are 351 combinations of two tasks assigned.
27C2 = 351
Also, count how many ways you could make at least $1300.
# ways = 2 of $1000 each or 1 of $1000 and 1 of $500
# ways = (3C2) + (3 x 5)
# ways = 3 + 15
# ways = 18
Solve for the probability by dividing the number of the desired outcomes by the number of total possible outcomes.
probability = desired outcome / total outcomes
probability = 18 / 351
probability = 2/39 or 0.0513
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Find the equation of a line, in slope intercept form, that has a slope of 3 and passes through the point of (-4, 2).
Answers
Answer:
y=3x+14
Step-by-step explanation:
First find the point using slope point form.
y-y₁=m(x-x₁)
Put y value in for y₁, x value in for x₁ and slope in for m.
y-2=3(x+4)
Simplify
y-2=3x+12
Solve for y to get slope intercept form Y=mx+b
y=3x+14
xThe number of hours of daylight in a city in the Northern hemisphere shows periodic behavior over time.• The average number of daylight hours is 12.• The maximum number of daylight hours is 14.4.• The period is 365 days.• The day with the least sunlight is December 20.Which equation models the number of hours of daylight on the day that comes t days after the shortest day of the previous year?
Answers
EXPLANATION
Since we know that the number of hours is represented by a periodic function, the appropriate model is the sine function.
As the average number of daylight hours is 12 with a maximum and minimum of 14.4 and 9.6 respectively.
Furthermore, the period is 365.
Thus, the period is as follows:
[tex]\frac{2\pi}{365}=0.017[/tex]The appropiate model is the following:
[tex]H(t)=a\sin(0.017t)+12[/tex]Now, we need to compute the value of a:
Since the sine function reaches its highest value at t=90° and is represented by 14.4, when t=90°, the value of the function is asin(0.017t) = 1
Therefore,
14.4 = a + 12
Subtracting -12 to both sides:
14.4 - 12 = a
Subtracting numbers:
2.4 = a
In conclusion, the final function is the following:
[tex]H(t)=2.4\sin(0.017t)+12[/tex]Since the minimum is at t=0, we want:
[tex]H\left(t\right)=-2.4cos\left(0.017t\right)+12[/tex]In conclusion, the solution is the OPTION C)
Express the equation y=x^2+8x+25 in the form y=a(x-h)^2+ka. y=a(x-h)^2+kb. y=(x+4)^2+9c. y=(x-4)^2-9d.y=(x-4)^2+9
Answers
ANSWER :
The answer is B. y = (x + 4)^2 + 9
EXPLANATION :
From the problem, we have :
[tex]y=x^2+8x+25[/tex]Group the terms in which the constant term and the terms with variables are separated.
[tex]y=(x^2+8x)+(25)[/tex]add and subtract a variable m to the parenthesis to maintain equivalency.
[tex]y=(x^2+8x+m)+(25-m)[/tex]Calculate the value of m using b^2/4a^2 with a = 1 and b = 8
[tex]m=\frac{b^2}{4a^2}=\frac{8^2}{4(1^2)}=16[/tex]Then :
[tex]\begin{gathered} y=(x^2+8x+16)+(25-16) \\ y=(x^2+8x+16)+(9) \end{gathered}[/tex]The first parenthesis will be a perfect square trinomial.
Factor and simplify :
[tex]\begin{gathered} y=(x^2+8x+16)+9 \\ y=(x+4)^2+9 \end{gathered}[/tex]passes through (1,4) and perpendicular to y=2x-7
Answers
The equation of the line is found as y = -x/2 + 9/2.
What is meant by the equation of the line?This is an x and y equation for whom solution set is just a line in the (x,y) plane. The "slope-intercept" form is the most commonly used in algebra. y = mx + b. In effect, x is used as a parameter, and y is written as just a function of x: y = f(x) = mx+b.For the given question;
The equation of the perpendicular line is given as;
y = 2x - 7
Compare the equation with the standard form of slope intercept.
y = mx + c
m = slope and c is the y intercept.
m1 = 2
Now, the line is perpendicular, thus the relation between both slopes is;
m1 × m2 = -1
m2 = -1/2
The passing coordinates of the line is (1. 4).
Find the equation using formula.
y - y1 = m2(x - x1)
y - 4 = (-1/2) (x - 1)
Simplifying,
y = -x/2 + 9/2
Thus, the equation of the line is found as y = -x/2 + 9/2.
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