Answer:
B. (f - g)(x) = -3x² - x - 4
Step-by-step explanation:
→Set it up like so:
(-4x² - 6x - 1) - (-x² - 5x + 3)
→Distribute the -1 to (-x² - 5x + 3):
-4x² - 6x - 1 + x² + 5x - 3
→Add like terms (-4x² and x², -6x and 5x, -1 and -3):
-3x² - x - 4
A rectangle with a perimeter of 40 inches has a width that is 3 times the length. What is the length And the width
The Length is 5 inches and the Breadth is 15 inches
What is Perimeter?
A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter.
Solution:
Perimeter of Rectangle = 2*(Length + Breadth)
According to the question
Breadth = 3*Length
Perimeter = 40
40 = 2*(Length + 3*Length)
20 = 4*Length
Length = 5 inch
Breadth = 15 inch
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A couple has a combined income of $15,720 per year.
If they spend 20% of their income on rent,
how much rent do they pay per year?
O $12,576
O $3,144
O $262
O $314.40
On solving the provided question, we can say that by percentage
20% of 1570 => 20/100 X 1570=314; rent = 1570 - 314 = $1256
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
A couple has a combined income of = $15,720 per year.
they spend 20%
by percentage
20% of 1570
20/100 X 1570
=314
rent = 1570 - 314 = $1256
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What is 4 1/2 x 2 1/2 x 1/2
Answer:
5.625 is the answer
Step-by-step explanation:
4.5 × 2.5 × 0.5
7. Given: 2x + 30 = -4(5x - 2); Prove: x = -1
Statements
1.
2.
3.
4.
5.
1.
2.
3.
4.
5.
Reasons
By solving the given linear equation we conclude that x = -1
How to solve the linear equation?Here we have the linear equation:
2x + 30 = -4*(5x - 2)
And we should solve this for x.
To do that we can start by expanding the right side, we will get:
2x + 30 = -20x + 8
Now we group like terms:
2x + 20x = 8 - 30
22x = -22
Now we divide both sides by 22:
22x/22 = -22/22
x = -1
So, we conclude that x = -1, as we wanted to prove.
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Matt ran 8 laps in 1,256 seconds. If he ran each lap in the same amount of time , how many seconds did it take him to run 1 lap
Matt takes 157 seconds to run 1 lap.
What is ratio?Ratio basically compares quantities, that means it shows value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Time taken to run 8 laps = 1,256 seconds
To find time taken to run 1 lap, use the ratio property,
8 laps = 1256 seconds
1 lap = 1256/8 seconds
1 lap = 157 seconds
Matt takes 157 seconds to run 1 lap.
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i want my sparx to be done please help
(a) The perimeter of the rectangle in centimeter is 2,800 cm.
(b) The area of the rectangle is 450,000 cm².
What is the perimeter of the rectangle?The perimeter of the rectangle in centimeter is calculated as follows;
P = 2 ( L + B )
where;
L is the length of the perimeterB is the breadth of the perimeterThe length of the rectangle = 9 m = 900 cm
The breadth of the rectangle = 5 m = 500 cm
Perimeter = 2 ( 900 cm + 500 cm ) = 2,800 cm
The area of the rectangle is calculated as follows;
A = LB
A = 900 cm x 500 cm
A = 450,000 cm²
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One number exceeds another by 6 and their sum is 16. Find the two numbers.
Answer:
answer is 11 or 5
Step-by-step explanation:
x+y=16 ------ 1
x-y= 6 ------ 2
______
2x = 22
x =22/2 =11
put the value of x on equation 1
x+y =16
11+y =16
y =16-11 =5
Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale.
A=
Step-by-step explanation:
area of trapezium = 15× 12 + 1/2× 12× 5
= 180 + 30 = 210
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
Graph the following features:
Y-intercept=1
Slope- -2/3
The graph with the y-intercept of 1 and a slope of -2/3 is added as an attachment
What are linear equations?Linear equations are equations whose slopes are constant average rates of change.
How to graph the equation of the line?The given parameters are
y-intercept, c = 1Slope, m = -2/3A linear equation is represented as
y = slope * x + y-intercept i.e. y = mx + c
Substitute the known values in the above equation
So, we have the following equation
y = -2/3x + 1
Hence. the linear equation is y = -2/3x + 1
See attachment for the graph
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Which of the following rational functions is graphed below?
Answer:
C
Step-by-step explanation:
The vertical asymptote occurs at x=6. Hence denominator of the fraction should be x-6. Hence it is C
1. Convert the following Mayan numbers to decimal (base 10).
b)
||:
:|| || ()
The given Mayan number which is: :|| :|| in decimal (base 10) is 42.
How to solveThe Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).
In order to obtain the decimal equivalent (base 10) of a Mayan numeral, it is imperative to comprehend the positional significance of each constituent symbol.
The numerical system employed here assigns a weight to each digit that corresponds to a certain power of 20. Specifically, the weight associated with the least significant digit is 20 raised to the exponent of 0, while the weight of the digit to its immediate left is 20 raised to the exponent of 1, and so forth.
The Mayan number given, : :|| :||, can be broken down as follows:
The leftmost position has no symbol, which represents a value of 0.
The second position from the left has two shell-like symbols (:), which represent a value of 2x20¹ = 40.
The third position from the left has two horizontal bars (||), which represent a value of 2x20⁰ = 2.
The given Mayan number in decimal (base 10) is 40 + 2 = 42.
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One month Eric rented 3 movies and 5 video games for a total of $34. The next month he rented 9 movies and 7 video games for a total of $56. Find the rental
cost for each movie and each video game.
Rental cost for each movie:
Rental cost for each video game:
G
O
G
movies 1.75 each
games 5.75 each
Benjamin has 5 baskets. Each basket has 10 berries in it. Explain how you could find how many berries benjamin has
Answer: You can multiply 5 x 10 which means he has 50 berries
In a certain school, the probabilities of the number of students who are reported tardy are shown in the following table:
Number tardy: 0 1 2 3 4
Probability: 0.19 0.22 0.37 0.18 0.04
What is the expected number of tardies (rounded to two decimal places)?
the expected number of tardies is 1.66, rounded to two decimal places.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, In a certain school, the probabilities of the number of students who are reported tardy are shown
Number tardy: 0 1 2 3 4
Probability: 0.19 0.22 0.37 0.18 0.04
The expected number of tardies can be calculated by multiplying each possible number of tardies by its probability and then summing up the results. That is:
Expected number of tardies = (0 × 0.19) + (1 × 0.22) + (2 × 0.37) + (3 × 0.18) + (4 × 0.04)
Simplifying the expression, we get:
Expected number of tardies = 0 + 0.22 + 0.74 + 0.54 + 0.16
Expected number of tardies = 1.66
Therefore, the expected number of tardies is 1.66, rounded to two decimal places.
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2 Mabaso has R140, Thabo has R70 and Ally has R35. What is the ratio of the amount of money Mabaso has, to the amount of money Thabo has and to the amount of money Ally has? Write the ratios in simplest form. The price of a steel table is R750. On Black Friday the table could be bought for R600. Calculate the percentage discount? Show ALL your calculations. Convert 125 g to kilograms. (1 kg = 1 000 grams) A green grocer packs 12 apples in a plastic bag. Calculate the number of bags he w need if he has 285 apples. The scale of a map is 1 500 000. Determine the actual distance in km if measurement on the map is 23,7 cm. Hint: 1 km = 100 000 cm
The actual distance represented by 23.7 cm on the map is 355.5 km.
To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.
Mabaso has R140, Thabo has R70, and Ally has R35.
The ratio of Mabaso's money to Thabo's money is:
R140 ÷ R35 = 4
The ratio of Mabaso's money to Ally's money is:
R140 ÷ R35 = 4
Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.
To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.
Original price: R750
Discounted price: R600
Discount: R750 - R600 = R150
Percentage discount: (R150 ÷ R750) × 100 = 20%
So, the table has a 20% discount on Black Friday.
To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).
125 g ÷ 1,000 = 0.125 kg
Therefore, 125 grams is equal to 0.125 kilograms.
If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.
Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags
Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.
If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.
1 cm on the map represents 1,500,000 cm in reality.
23.7 cm on the map represents x cm in reality.
x = 23.7 cm × 1,500,000 cm = 35,550,000 cm
To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).
35,550,000 cm ÷ 100,000 = 355.5 km
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PLEASE HELP?! IM SO SORRY I AM NOT GOOD AT MATH!!
Answer:
C.
Step-by-step explanation:
-3 7/8 rounds down to -4
4.63 rounds up to 5
-4 x 6 + 5
-24 + 5
-19
her answer (-19.14) also rounds to -19
So yes, it is reasonable and the correct response is C.
Los estudiantes de 6* grado realizaron una votación para elegir al presidente de la clase. El ganador recibió 51 votos y el perdedor 34 votos. Cuál es la razón de los votos del ganador al perdedor!? Cuál es la razón del perdedor al total de votos
Answer:
34 votos
Step-by-step explanation:
espero que esto ayude
{20 PTS}
4/6 = ??? x 1/6
what number makes this equation true? fill in the blank
Please help and explain if you can the answer because I don’t know what I’m doing
Answer:
Step-by-step explanation:
Arrastra cada término de la potenciación hasta el lugar que le corresponde.
5'3=125
potencia base exponente.
Sorry I would help but I don't understand and can't translate for some reason (so sorry)
If a teacher's guide to a popular SAT workbook is to be printed using a special type of paper, the guide must have at most 400 pages. If the publishing company charges 1 cent per page printed, what is the largest price, in dollars, that can be charged to print 20 copies of the workbook using the special paper?
Answer:
$80
Step-by-step explanation:
To find the largest price, assume that all 20 copies of the workbook will have 400 pages.
Since the company charges 1 cent per page, this means each workbook will cost 400 cents. This is equivalent to 4 dollars.
Find the total cost by multiplying this by 20:
20(4)
= 80
So, the largest price to print 20 copies is $80
How do you calculate Contribution Margin?
decide whether you can use the given information to prove that $\triangle abc\cong\triangle def$ . explain your reasoning. $\angle c\cong\angle f,\ \overline{ab}\cong\overline{de},\ \overline{bc}\cong\overline{ef}$
According to SAS congruent the △abc congruent △def. Thus using the given information, it can be prove.
What is congruent?
In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
There are four rules to prove congruency. They are SAS, AA, ASA, and SSS.
Given that ∠c ≅ ∠f
ab ≅ de
bc ≅ ef.
According to SAS rule, if two sides and one angle of a triangle is equal to two sides and one angle of another triangle, they the triangle are congruent.
Here two sides and one angle of △abc is congruent of two sides and one angle of △def.
Therefore △abc congruent △def.
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The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period. a. Which form of the null and alternative hypotheses most appropriate for this situation
The question is incomplete. The complete question is :
The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 24 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period.
a. Which form of the null and alternative hypotheses most appropriate for this situation.
\($H_0$\): is (greater than or equal to 24/greater than 24/less than or equal to 24/less than 24/equal to 24/not equal to 24)
\($H_a$\): is (greater than or equal to 24/greater than 24/less than or equal to 24/less than 24/equal to 24/not equal to 24)
Solution :
It is given that the current mean sales volume in one month is 24 automobiles. The automobile dealership manager wants to conducts research study to check the increase in the sales volume due to the launch of a new bonus plan. So to collect the data on plan, sample of the sales personnel is allowed to sell for one month period only according to the new bonus plan.
Therefore the null hypothesis and the alternate hypothesis that most appropriates the situation is :
\($H_0 \leq 24$\)\($H_a > 24$\)Line k is represented by the equation y = 2x + 2. Write
an equation of a line that is perpendicular to line k that also passes through the point (-2, 9)?
Step-by-step explanation:
so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.
the slope in
y = 2x + 2
is the factor of x : 2 or 2/1
the perpendicular slope is turning this upside down and flips the sign : -1/2
the point- slope form is
y - y1 = a(x - x1)
"a" being the slope, (x1, y1) being the point.
y - 9 = -1/2(x - -2)
y - 9 = (-1/2)x - 1
y = (-1/2)x + 8
2) Find the distance between each pair of parallel lines: y = -5x y = -5x + 26
Answer:
26 units
Step-by-step explanation:
Step 1: Determine the y-intercepts of the lines:
The first line y = -5x has a y-intercept of 0 (when x = 0).
The second line y = -5x + 26 has a y-intercept of 26 (when x = 0).
Step 2: Calculate the difference in the y-intercepts:
Difference = |0 - 26| = 26 units
Therefore, the distance between the pair of parallel lines y = -5x and y = -5x + 26 is 26 units.
A round pencil is sharpened to a cone shape at both ends.calculate the volume of the pencil if the two radius is 1.2 and heights are 8cm
Answer:
A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm
Calculate the volume using the value 22/7.
Step-by-step explanation:
A polynomial function has a root of -6 with multiplicity 1, a root of -2 with multiplicity 3, a root of 0 with multiplicity 2, and a
root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about
the graph is true?
O The graph of the function is positive on (-6, -2).
O The graph of the function is negative on (-0, 0).
O The graph of the function is positive on (-2, 4).
O The graph of the function is negative on (4.co).
9514 1404 393
Answer:
(a) the graph is positive on (-6, -2)
Step-by-step explanation:
The roots, left to right, are ...
-6, -2, 0, 4
The odd-multiplicity roots, where the sign changes, are ...
-6, -2, 4
The function is negative to the left of -6, and positive to the right of +4. It is positive on the interval (-6, -2) and negative on the intervals (-2, 0) and (0, 4).
Answer:it’s a!!!
edge please stop deleted my answer ;)
Step-by-step explanation:
Multiple choice: which function has an amplitude of 5 and a period of π/3 ?
A) f(x)=5 cos 6x
B) f(x)=1/5 cos6x
C) f(x)=5 cos 2/3 x
D) f(x)=3 cos5x
The correct answer is C) f(x) = 5 cos 2/3 x, as it has an amplitude of 5 and a period of π/3. To determine which function has an amplitude of 5 and a period of π/3, we need to analyze the properties of the trigonometric functions presented in the options.
The general form of a cosine function is f(x) = A cos(Bx), where A represents the amplitude and B represents the frequency or period of the function.
Option A) f(x) = 5 cos 6x: This function has an amplitude of 5, but its period is 2π/6, which is not equal to π/3. So, this option is not the correct answer.
Option B) f(x) = 1/5 cos 6x: This function has an amplitude of 1/5, which is not 5 as required. Therefore, this option is not the correct answer.
Option C) f(x) = 5 cos 2/3 x: This function has an amplitude of 5, which matches the given condition. Moreover, its period is 2π/((2/3)x) = π/3, which is the desired period. Hence, this option satisfies both conditions.
Option D) f(x) = 3 cos 5x: This function has an amplitude of 3, which is not 5 as required. Thus, this option is not the correct answer.
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Heather is a cashier. She can ring up 121 customers in 9 minutes.
At this rate, how many minutes does it take her to ring up 4 customers
Answer:
In four minutes Heather can ring up 52 maybe even 53 customers.
Step-by-step explanation:
To find this answer you would have to find how many customers Heather can rind up in one minute. To do this you can do 121 divided by 9 which equals about 13 so you can use 13. And then you would do 13 times 4 because that's how many minutes the question is asking for, and your answer would be about 52, so your answer is about 52 close to 53, you might not get an exact answer for a problem like this. :)