For matrix subtraction, you subtract the corresponding cell of the second matrix from the first. So, looking at the first spot, you have 4 (from the first matrix) - 4 (from the second matrix) = 0 (the first number in the output matrix). Continuing that for the next spot, -4 - -3 = -4 + 3 = -1. Finally, -2 - 5 = -7. This means your answer is [0 -1 -7].
What is the median of 5, 7, 2, 4, 3 (remember to place the numbers in order first.)
Answer:
4
Step-by-step explanation:
The numbers in order would be
2, 3, 4, 5, 7
The number in the middle is always the median
Therefore, 4 is the median
Final answer:
The median of the list 5, 7, 2, 4, 3 is 4, once the numbers are arranged in ascending order and we identify the middle value in the set.
Explanation:
To find the median of the list 5, 7, 2, 4, 3, we must first organize the numbers in either ascending or descending order. For this set, arranged in ascending order, we get 2, 3, 4, 5, 7. Since we have n = 5 numbers, the median will be the third value in the ordered set, which is the middle number. Therefore, the median of this data set is 4.
A right triangle is drawn on a coordinate plane. Two vertices of the triangle are points D(6,−7) and F(−8,−5) . The third vertex of the triangle is point E, which lies in the fourth quadrant of the coordinate plane. What is the distance from point E to point F? Enter your answer in the box.
Answer:
7
Step-by-step explanation:
The answer is 7. Hope this helps
Answer:
14
Step-by-step explanation:
I am on k12 and that is what I got
I put in 7 and it was wrong
What is the quotient?
Answer:
(-7)³ or -7³
Step-by-step explanation:
Start with (-7)²
----------
(-7)^(-1)
Apply the rule that:
x^a
----------- = x^(a-b)
x^b
Then our:
(-7)²
----------- = (-7)^(2 - [-1] ) = (-7)^(2+1) = (-7)³
(-7)^(-1)
This answer could be left as is, or we could rewrite (-7)³ as
-7³, since (-1)³ = -1
Answer: FIRST OPTION
Step-by-step explanation:
According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.
Therefore, keeping the property above on mind, you have that the quotient is the shown below:
[tex]\frac{(-7)^2}{(-7)^{-1}}=(-7)^{(2-(-1))}=(-7)^{(2+1)}=(-7)^3=-343[/tex]
It would cost $81.61 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan cost $77.44. How much does an average movie ticket cost in each of these countries?
The average cost of a movie ticket in Japan is $17.99 and in Switzerland is $13.82.
To solve the problem of determining the average cost of a movie ticket in Japan and Switzerland, we need to set up a system of equations based on the information given. If we let J represent the cost of a ticket in Japan and S represent the cost of a ticket in Switzerland, we can formulate the following equations from the scenario provided:
3J + 2S = $81.61 (Cost for three tickets in Japan and two in Switzerland)
3S + 2J = $77.44 (Cost for three tickets in Switzerland and two in Japan)
Now we solve the system of equations using substitution or elimination method. For simplicity, we'll use the elimination method:
Multiply the first equation by 3 and the second equation by 2 to make the coefficients of S the same:
9J + 6S = 3 x $81.61 = $244.83
6S + 4J = 2 x $77.44 = $154.88
Subtract the second new equation from the first to eliminate S:
9J + 6S - (6S + 4J) = $244.83 - $154.88
5J = $89.95
Divide by 5 to solve for J:
J = $89.95 / 5 = $17.99
Now substitute the value of J in either original equation to solve for S:
3(17.99) + 2S = $81.61
53.97 + 2S = $81.61
2S = $81.61 - 53.97
2S = $27.64
Divide by 2 to solve for S:
S = $27.64 / 2 = $13.82
Therefore, the average cost of a movie ticket in Japan is $17.99 and in Switzerland is $13.82.
Given that (4,4) is on the graph of f(x), Find The Corresponding Point for the function f(x)+5
Answer:
(4,9)
Step-by-step explanation:
If f(x) is a function, the function f(x) + a is a function translated a units up vertically. Hence, all the y-coordinates of the coordinates of the points on the function will shift up by a.
For this problem, we need to find corresponding coordinate of (4,4) of f(x) + 5. This means that the y-coordinate of this coordinate will increase by 5 and x will stay the same.
Hence, corresponding point for f(x) + 5 for the point (4,4) would be (4,4+5) OR (4,9).
An earthworm is crawling on top of the grass on a very sunny afternoon. It will immediately begin to dig back under the soil because of its sensitivity to light. What type of behavior is this?
Question 1 options:
inherited
learned
mimicked
imprinted
Answer: Your answer would be A. inherited
The behavior described in this scenario is most likely an inherited behavior.
What is Inherited behaviour?The innate behaviors that are passed to offspring from parents is called as Inherited behaviour
Earthworms are sensitive to light and often seek refuge in soil or other dark environments.
The response to light which is likely an innate behavior that has evolved over time in response to environmental pressures, such as predation risk from exposure to sunlight.
The earthworm's instinctive behavior to get shelter with response to light is likely a result of its genetic programming and not a learned, mimicked, or imprinted behavior.
Hence, the behavior described in this scenario is most likely an inherited behavior.
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A Mathematical sentence that compares expressions that are not equal
Answer:
This would be an inequality. They use greater than (>) and less than (<) signs.
Step-by-step explanation:
A Mathematical sentence that compares expressions that are not equal is an inequality.
What is the inequality?An inequality is a mathematical sentence that compares the value of two expressions using a inequality symbol.
An inequality is a relationship between two different quantities or expressions.
An inequality may be expressed by a mathematical sentence that uses the following symbols:
< is less than
> is greater than
≤ is less than or equal to
≥ is greater than or equal to
≠ is not equal to
Hence, a mathematical sentence that compares expressions that are not equal is an inequality.
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Twelve less than a number y is 8? Please help
Answer:
The answer is y = 20
Step-by-step explanation:
To find this, we need to turn it into an equation. Then we can follow the order of operations to solve.
y - 12 = 8
y = 20
Answer: Y = 20
Step-by-step explanation:
The equation to solve this problem is y - 12 = 8
In order to solve the equation you need to add 12 to each side -
Y = 20
You can then check your work - 12 less than 20 equals 8. This is correct, so you know that your answer is correct.
I need help to solve this
Answer:
Step-by-step explanation:
The catch is to put this into the quadratic and solve for a b and c in three equations.
x = 1
a(1)^2 + b(1) + c= 0
a + b + c + 0 (1)
x = - 1
a(-1)^2 + b(-1) + c = 2
a - b + c = 2 (2)
x = 2
a(2)^2 + b(2) + c = 8
4a + 2b + c = 8 (3)
===================
Add 1 and 2 together
a + b + c = 0
a - b + c = 2
2a + 2c = 2 Divide by 2
a + c = 1 (4)
=====================
Multiply (2) by 2
2a - 2b + 2c = 4 (5)
======================
Add (5) + (3)
2a - 2b + 2c = 4
4a + 2b + c = 8
6a + 3c = 12 (6)
=====================
Multiply (4) by 3
3a + 3c = 3 (7)
===================
Subtract (7) from (6)
6a + 3c = 12
3a + 3c = 3
3a = 9 Divide by 3
3a/3 = 9/3
a = 3
=============
Use (4) to find c
a + c = 1
3 + c = 1 Subtract 3 from both sides
3-3 + c = 1-3
c = - 2
=================
Use 1 to find b
3 + b - 2 = 0 Combine 3 and -2
1 + b = 0 Subtract 1 from both sides
b = - 1
====================
Answers
a = 3
b = - 1
c = - 2
What are the roots of x in - 10x2 + 12x - 9 = 0?
SORRY FOR CUTTING AND HANDWRITING
HOPE THIS WILL HELP YOU
The roots of the quadratic equation [tex]\( -10x^2 + 12x - 9 = 0 \)[/tex] are [tex]\( \frac{{3 + i\sqrt{6}}}{{5}} \)[/tex] and [tex]\( \frac{{3 - i\sqrt{6}}}{{5}} \).[/tex]
To find the roots of the quadratic equation -10x^2 + 12x - 9 = 0 , we can use the quadratic formula:
[tex]\[ x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \]Where:[/tex]
- a = -10
- b = 12
- c = -9
Substitute the values into the quadratic formula:
[tex]\[ x = \frac{{-12 \pm \sqrt{{12^2 - 4(-10)(-9)}}}}{{2(-10)}} \][/tex]
[tex]\[ x = \frac{{-12 \pm \sqrt{{144 - 360}}}}{{-20}} \][/tex]
[tex]\[ x = \frac{{-12 \pm \sqrt{{-216}}}}{{-20}} \][/tex]
[tex]\[ x = \frac{{-12 \pm 6i\sqrt{6}}}{{-20}} \][/tex]
[tex]\[ x = \frac{{3 \pm i\sqrt{6}}}{{5}} \][/tex]
So, the roots of the equation are [tex]\( \frac{{3 + i\sqrt{6}}}{{5}} \)[/tex] and [tex]\( \frac{{3 - i\sqrt{6}}}{{5}} \),[/tex] where i is the imaginary unit.
Consider the following equation.
5x^2 - 3x + 10 = (3x + 4)^2
If the above quadratic equation were used to solve for x, which of the following are the values for a,b, and c
A. a= 3,b = 12,c = 16
B. a=4,b =27,c = 6
C. a = 4,b =27,c = 26
D. a= 5,b = 3,c = 10
Answer:
B
Step-by-step explanation:
Expand the right side of the equation
5x² - 3x + 10 = 9x² + 24x + 16
Subtract 5x² - 3x + 10 from both sides
0 = 4x² + 27x + 6 ← in standard form
with a = 4, b = 27, c = 6
to fill out a sign chart, you will need to use test numbers before and after each of the function's zeros and ___
A. proportions
B. values
C. asymptotes
D. expressions
which fills the blank correctly
Answer:
C. asymptotes
Step-by-step explanation:
In the figure attached, a sign chart is shown. To fill it out you need to find the function's zeros and asymptotes. The zeros are those x values that makes the function equal to zero, in the example, those are the x values that make the denominator equal to zero (x = -1 and x = 5). In a rational function, the asymptotes are those x values that make the numerator equal to zero (x = -9 in the example)
Function in the example:
[tex]\frac{(-2x-2)(2x-10)}{-9x-81} [/tex]
Final answer:
To complete a sign chart accurately, one needs to use test numbers surrounding each of the function's zeros and asymptotes, determining the sign of the function in those intervals. This helps in understanding the behavior of the function and solving inequalities.
Explanation:
To fill out a sign chart, you will need to use test numbers before and after each of the function's zeros and C. asymptotes which fills the blank correctly. When you're dealing with functions, especially rational functions, the sign of the function can change around its zeros and asymptotes. Zeros are the points where the function crosses the x-axis, and the function's value is zero. Asymptotes, on the other hand, are lines that the function approaches but never touches; the function's value heads towards positive or negative infinity as it gets close to an asymptote.
When creating a sign chart, you select test numbers from intervals between these critical points -- zeros and asymptotes -- to determine if the function is positive or negative in those intervals. This process helps to understand the behavior of the function across its domain and is essential in solving inequalities.
Here's an example:
Identify the zeros and asymptotes of the function.
Place these values in increasing order on a number line to define test intervals.
Choose a test number from each interval and substitute it into the function to check the sign.
Fill in the sign chart with the corresponding signs for each interval.
Which expression is equivalent to
Answer:
pq^9
Step-by-step explanation:
so this is basically multyplying the 2 variables
p there is 1
q there is 9
pq^9
Answer:
p q^9
Step-by-step explanation:
pqqqqqqqq
There is one p and 9 q's
That means raise p to the power of 1 and q to the power of 9
p^1 * q^9
Anything to the power of 1 is itself
p q^9
The probability of rolling a 5 or 6 with a number cube is 1/3. What is the probability of not rolling a 5 or 6?
Answer:
Step-by-step explanation:
2/3
Answer:
2/3
Step-by-step explanation:
2/3 and add 1 to the numerator to get a whole number so 1 (whole number ) minus 2/3 is 1/3.
A person who needs a car for a few hours to pick a friend from an airport would most likely choose which of the following?
A. Car share
B. Car rental
C. Car lease
D. Carpool
A. Car share I hope this helps
The most likely choice for someone needing a car for a few hours to pick someone up from the airport is a car share, due to its convenience and cost-effectiveness for short-term use.
Explanation:A person who needs a car for just a few hours to pick up a friend from an airport would most likely choose car sharing. This option allows for the short-term use of a car, typically charged by the hour or mile, and is ideal for brief, one-time needs such as an airport pick-up. In contrast, car rental is more suitable for those who need a vehicle for a full day or longer. A car lease is a long-term arrangement, usually spanning several years, and therefore not practical for a few hours of use. Carpooling involves sharing a ride with others going in the same direction but does not provide the flexibility of going to the airport to pick someone up specifically.
When deciding on options like these, one must consider the economic choices and personal needs. Factors like fuel efficiency, car size, and whether all-wheel drive is necessary for local weather conditions should be taken into account for longer-term choices. However, for a few hours of need, car sharing emerges as the most convenient and economical option.
Which table shows a no change linear relationship?Which table shows a no change linear relationship?
A)
x y
4 55
7 60
10 65
13 70
B)
x y
10 -16
15 -18
20 -20
25 -22
C)
x y
14 12
20 12
26 12
32 12
D)
x y
4 10
7 14
10 18
13 22
B
x y
10 -16
15 -18
20 -20
25 -22
Answer:
c
Step-by-step explanation:
Been bought cell phone that came in a box shaped like a rectangular prism the box is 5 inches long by 3 inches wide by 2 inches high what is the surface area of the box
Answer: 62 in²
Step-by-step explanation:
You must apply the formula for calculate the surface area of a rectangular prims, which is shown below:
[tex]SA=2(wh+lw+lh)[/tex]
Where w is the width, l is the lenght and h is the height.
Based on the information given in the problem, you know that:
[tex]l=5in\\w=3in\\h=2in[/tex]
Therefore, when you substitute these values into the formula, you obtain that the surface area of the rectangular prism is:
[tex]SA=2[(3in*2in)+(5in*3in)+(5in*2in)]\\SA=62in^2[/tex]
If the lengths of an object are measured in feet, then the area of the object will be measured in what measurement?
Answer:
Square feet.
Step-by-step explanation:
Feet are an example of what are called linear units. They're used to measure one dimensional things like length, width, or height. Area is two-dimensional, it takes up (flat) space, so we need to measure it in units that do the same thing. The simplest two-dimensional shapes to measure area with turn out to be squares (since the area of a square with side length s is just s²), so we usually measure area in square units. Since our linear units here are feet, the corresponding square units will be square feet.
Answer:
I think the answer is square feet.
I got it right on my test!
I hope this will help!
pls anser correctly
Sarah bought 24 cupcakes for her birthday party. 25% of the cupcakes were chocolate. How many chocolate cupcakes did Sarah buy?
If 25% of the cupcakes were chocolate, she would have bought 6 chocolate cupcakes
Answer:
hello!!
the answer would be 6 cupcakes.
I have this question on my session rn
have a great day
-Chilly
The following graph is a revenue function. It represents the amount of revenue a company generates for each $2 increase in price.
The company’s maximum revenue is:
The maximum revenue occurs when the price is increased by:
Answer:$1125.00 and $5.00 i think
Step-by-step explanation:
Answer:
The maximum revenue is roughly $1150 and the increase is $5.
Step-by-step explanation:
We can find this by looking for the highest point on the graph. The highest point on the graph occurs at x = 5, with the y value reaching roughly 1150.
(PLEASE HELP) The histogram shows the number of hours that 25 college students spent studying for their final exams. Which statement is true about this histogram?
The statement on the bottom left is correct. (6 students studied for 20 to 24 hours)
Answer:
Bottom right corner.
Step-by-step explanation:
They spent between 20 to 24 hours in stead of studying for exactly one of them.
Round the number to the nearest thousand. 645,405
The answer is 645,000
This is the equation of a quadratic function. y−2x2=−3 Which statement describes the graph of the function? Question 2 options: The graph opens upward and has a maximum value of –3. The graph opens upward and has a minimum value of –3. The graph opens downward and has a minimum value of –3. The graph opens downward and has a maximum value of –3.
The graph opens upward and has a minimum value of –3
Which statement describes the graph of the function
From the question, we have the following parameters that can be used in our computation:
y - 2x² = -3
This can be expressed as
y = 2x² - 3
The above has a positive leading coefficient
This means that it opens up
And as such it has a minimum and no maximum
Using the above as a guide, we have the following:
The graph opens upward and has a minimum value of –3
Type the correct answer in the box. Rewrite the quadratic function in the form that best reveals the zeros of the function. 2(2x^2+4x)+3
Answer:
(2x + 3)(2x + 1)
Step-by-step explanation:
2(2x^2 + 4x) + 3
Distribute.
4x^2 + 8x + 3
Put this in factored form.
(2x + 3)(2x + 1)
Brice and Thomas are reading the same book. The graph shows the number of pages that Brice read in a week. The equation y = 21x + 33 shows the number of pages that Thomas read in a week with y representing the number of pages and x representing the number of days.
Which statements about the reading of the two boys are true?
Select each correct answer.
A. Thomas is reading at a faster rate than Brice.
B. Brice started the week with more pages read than Thomas.
C. Brice reads 33 pages each day.
D. Thomas reads 20 pages each day.
Answer:
A
Step-by-step explanation:
thomas read faster than brice!!! wheres the graph btw?
The correct statement of the given ones is that Thomas is reading at a faster rate than Brice.
What is the general equation of straight line? What is a mathematical function, equation and expression?straight line : The general equation of a straight line is -[y] = mx + c
function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given are Brice and Thomas who are reading the same book. The graph
shows the number of pages that Brice read in a week and the equation
y = 21x + 33 shows the number of pages that Thomas read in a week.
The given equation for Thomas that shows the number of pages that Thomas read in a week is -
y = 21x + 33
The slope of the line is -
m = 21
Thomas is reading 21 pages per week.
For the graph of Brice, it passes through the points (0, 43) and (6, 163). So, we can find the slope as -
m = (163 - 43)/(6 - 0)
m = 120/6
m = 20
Brice is reading 20 pages per week.
Therefore, the correct statement of the given ones is that Thomas is reading at a faster rate than Brice.
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{Complete question -
Brice and Thomas are reading the same book. The graph shows the number of pages that Brice read in a week. Graph in the coordinate plane with title pages read by Brice. Vertical axis goes from 0 to 250 in increments of 10 and is labeled number of pages read. Horizontal axis goes from 0 to 7 in increments of 1 and is labeled time in days. A ray on the graph starts at point begin ordered pair 0 comma 43 end ordered pair and goes through point begin ordered pair 6 comma 163 end ordered pair.
The equation y = 21x + 33 shows the number of pages that Thomas read in a week with y representing the number of pages and x representing the number of days.
Which statements about the reading of the two boys are true?
Select each correct answer.
Thomas reads 20 pages each day.
Thomas is reading at a faster rate than Brice.
Brice reads 33 pages each day.
Brice started the week with more pages read than Thomas.}
a square tile is 20 cm wide. How many tiles are needed to cover 2 square metres
Answer:
50 tiles
Step-by-step explanation:
The area of a square is the square of the side. The area of each tile is
a = (20 cm)^2 = 20 cm * 20 cm = 400 cm^2
Now we convert 2 square meters into square centimeters.
2 m^2 * (100 cm)/m * (100 cm)/m = 20,000 cm^2
2 m^2 = 20,000 cm^2
Now we divide the total area by the area of one tile.
(20,000 cm^2)/(400 cm^2) = 50
Answer: 50 tiles
Let f(x) = 7x^2-5x+3 and g(x) = 2x^2+4x-6
Part A: f(x)+g(x)
Part B:f(x)-g(x)
Part C: g(x)-f(x)
***I need to find the simplfied answer, when everything is combinded
Answer:
[tex]\large\boxed{A.\ f(x)+g(x)=9x^2-x-3}\\\boxed{B.\ f(x)-g(x)=5x^2-9x+9}\\\boxed{g(x)-f(x)=-5x^2+9x-9}[/tex]
Step-by-step explanation:
[tex]f(x)=7x^2-5x+3,\ g(x)=2x^2+4x-6\\\\A:\\f(x)+g(x)=(7x^2-5x+3)+(2x^2+4x-6)\\f(x)+g(x)=7x^2-5x+3+2x^2+4x-6\qquad\text{combine like terms}\\f(x)+g(x)=(7x^2+2x^2)+(-5x+4x)+(3-6)\\f(x)+g(x)=9x^2-x-3[/tex]
[tex]B:\\f(x)-g(x)=(7x^2-5x+3)-(2x^2+4x-6)\\f(x)+g(x)=7x^2-5x+3-2x^2-4x+6\qquad\text{combine like terms}\\f(x)-g(x)=(7x^2-2x^2)+(-5x-4x)+(3+6)\\f(x)+g(x)=5x^2-9x+9[/tex]
[tex]C:\\g(x)-f(x)=(2x^2+4x-6)-(7x^2-5x+3)\\g(x)-f(x)=2x^2+4x-6-7x^2+5x-3\qquad\text{combine like terms}\\g(x)-f(x)=(2x^2-7x^2)+(4x+5x)+(-6-3)\\g(x)-f(x)=-5x^2+9x-9[/tex]
What is 15.40 rounded off the nearest whole number
Answer:
15
Step-by-step explanation:
Which is equivalent to 2 to the fourth power
Answer:
16
Step-by-step explanation:
2 times 2 is 4, 4 times 2 is 8, 8 times 2 is 16
Plz help!!!!!!!!!!!!!!
the answer is 12 place 2 , 4.5,12 In place of X and solve
Answer: x = 12
Step-by-step explanation:
[tex].\qquad \qquad \qquad \qquad \qquad \sqrt{2x+1}-4=1\\\\\text{Add 4 to both sides:}\quad \sqrt{2x+1}=5\\\\\text{Square both sides:}\quad \quad 2x+1=25\\\\\text{Subtract 1 from both sides:}\quad 2x=24\\\\\text{Divide both sides by 2:}\qquad \quad x = 12[/tex]