Answer:
Yes, it is.
Step-by-step explanation:
A function is a relation between two sets of elements, where each valid input can be mapped to exactly one output.
Indeed, the relation in this question is between two sets of elements. Each of these pairs includes exactly two elements: the input and the output.
On the other hand, does this relation maps each valid input to exactly one output? Arrange these pairs by the input in increasing order:
Input: [tex]-3[/tex]; Output: [tex]6[/tex].Input: [tex]-3[/tex]; Output: [tex]6[/tex].Input: [tex]-2[/tex]; Output: [tex]9[/tex].Input: [tex]-1[/tex]; Output: [tex]5[/tex].Input: [tex]0[/tex]; Output: [tex]10[/tex].Input: [tex]4[/tex]; Output: [tex]11[/tex].Input: [tex]5[/tex]; Output: [tex]11[/tex].Indeed, the input [tex]-3[/tex] appeared twice in the list. However, in both occurrence, this input mapped to the same output, [tex]6[/tex]. This relation is still a function.
Please help I suck at these :(
negative twenty-four over three equals negative eight.
Zanna’s cousin was born in 1980. If Zanna was born in 1997, how much older, in years, is her cousin?
Answer:
zanna's cousin is 17 years older than zanna
Step-by-step explanation:
Answer:
17 years older
Step-by-step explanation:
1997- 1980 = 17
If Mary and Tom put their money together they have £36. If Mary's money were halved and Tom's money doubled they would have £42. How much does each of them have? If you're answering, could you please show working out, thanks so much.
Answer:
Mary has £20 and Tom has £16
Step-by-step explanation:
Represent their current respective money amounts by m and t.
Then m + t = £36, but also m/2 + 2t = £42.
Multiplying the second equation by 2 removes the fraction:
m + 4t = £84
and multiplying this by -1 results in
-m - 4t = -£84, which can now be added to the first equation m + t = £36:
-m - 4t = -£84
+m + t = £36
---------------------
-3t = -£48
We have successfully eliminated m. To solve this last result for t, divide both sides by -3, obtaining t = £16
Since m + t = £36 and t = £16, m must be £20.
Mary has £20 and Tom has £16
Find an equation of the line that passes through the given point and has the indicated slope m.
Answer:
y = [tex]\frac{4}{5}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{4}{5}[/tex] , thus
y = [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (- 5, - 2) into the partial equation
- 2 = - 4 + c ⇒ c = - 2 + 4 = 2
y = [tex]\frac{4}{5}[/tex] x + 2 ← equation of line in slope- intercept form
71, X
The symbol U represents the union of two sets. What do you think the
notation represents?
What is the solution to the inequality 4x>-12?
O x>-3
Ox<-3
O x>-48
O x<-48
Answer:
A. x>-3
Step-by-step explanation:
You just have to divide -12 by 4 and the sign does not flip because 4 is not negative
1. Find the Distance. Round to the nearest tenths.
(-4, 6) and (3, -7)
Answer:
13
Step-by-step explanation:
[tex](4, 6) = (x _1 , y_1) \\ (3, -7) = (x_2 \: y_2) \\ \\ d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } [/tex]
Plug in the given values
[tex]d = \sqrt{(3 - 4)^{2} + ( - 7 - 6)^{2} } \\ d = \sqrt{( - 1)^{2} + {( - 13)}^{2} } \\ d = \sqrt{1 + 169} \\ d = \sqrt{170} = 13.0[/tex]
factor out the GCF: 12+24x
Step-by-step explanation:
I hope this is the right answerAnswer:
Step-by-step explanation:
Factorize 12 and 24
12 = 2 * 2 * 3
24 = 2 * 2 * 2 * 3
GCF = 2 * 2 * 3 = 12
12 + 24x = 12*1 + 12 * 2 *x
= 12*(1 + 2x)
I NEED THIS ANSWER BY TONIGHT!!!! How many gallons of a 90% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 80% antifreeze? Use the six-step method.
Answer:
Solution : 600 gallons
Step-by-step explanation:
Let's say that x is the gallons of 90% antifreeze solution. Let's start by converting each percent to decimal form.
90% = 0.9
20% = 0.2
80% = 0.8
Knowing that we have the following set up,
0.9(x) + 0.2(100) = 0.8(x + 100) ⇒ 0.8 is associated with " x + 100 " as it is a mixture of the gallons of the 90% antifreeze solution, and the gallons of the 20% antifreeze solution
We can solve for x in this equation, and receive our solution. This is represented by the following attachment. It proves that there are 600 gallons of the 90% antifreeze solution.
The price of a share of stock for Nike at the beginning of the week was $24.75. Over the next five days, the share of stock gained $2.50 on Monday, lost $3.25 on Tuesday, lost $0.75 on Wednesday, gained $1.25 on Thursday, and gained $4.75 on Friday. What was the price of the share of stock at the end of Friday? A. $37.25 B. $29.25 C. $12.25 D. $22.50 What is the Answer?
Answer: B. $29.25
Step-by-step explanation:
In integers loss is represented by negative integers whereas profit is represented by positive numbers.Given, Beginning price = $24.75
Over the next 5 days,
On Monday, gain of $2.50 represented by + $2.50.
On Tuesday, loss of $3.25 represented by - $3.25 .
On Wednesday, loss of $0.75 represented by - $0.75.
On Thursday, gain of $1.25 represented by + $1.25.
On Friday, gain of $4.75 represented by + $4.75.
Price of the share of stock at the end of Friday = (Beginning price)+ ( + $2.50 - $3.25- $0.75+ $1.25+ $4.75)
= $( 24.75 + 2.50 -3.25 -0.75 +1.25 +4.75)
= $29.25
Hence, the correct option is B. $29.25.
Farah rolls a fair dice and flips a fair coin. What is the probability of obtaining a 5 and a head? Give your answer in its simplest form.
Answer:
1/12
Step-by-step explanation:
1 in 6 probablity on the dice and 1/2 probablity on the coin. multiply 6 and 2 = 12
1/12 probablity
i think this is the right answer but im not 100 percent sure
the perimeter of a rectangle is 44 cm.if its length is increased by 4 cm and breadth is increased by 2 cm its area is increased by 72 sqcm. find the dimensions of the rectangle
Answer:
11 cm, 11 cm
Step-by-step explanation:
Let the length and width of the rectangle be x cm and y cm respectively.
Therefore,
Perimeter of rectangle = 44 cm
2(x + y) = 44
x + y = 44/2
x + y = 22...... (1)
Area of rectangle = xy
When length is increased by 4 cm and breadth is increased by 2 cm.
New length = (x + 4) cm
New width = (y + 2) cm
New area of rectangle = original area + 72.. (given)
Therefore,
(x + 4) (y + 2) = xy + 72
xy + 2x + 4y + 8 = xy + 72
2x + 4y = 72 - 8
2x + 4y = 66
2(x + 2y) = 66
x + 2y = 66/2
x + 2y = 33.... (2)
Subtracting equation (1) from equation (2)
x + 2y - (x + y) = 33 - 22
x + 2y - x - y = 11
y = 11
Substituting y = 11 in equation (1)
x + 11 = 22
x = 22 - 11
x = 11
Thus, the dimensions of the rectangle are 11 cm and 11 cm.
can someone help me write a conclusion paragraph? i wrote an essay on why masks and social distancing were effective and I can't think of what to write for my conclusion. please help me!
Answer:
Step-by-step explanation:
A conclusion is 2-3 closing sentences to wrap up your essay. You should start with a transition word, like "To conclude," and then state your controlling idea. Or, the reason why you are writing this essay. Then, you need to end with a closing sentence, which is pretty hard to do. This can be a question or a statement. If you pick a question, then you need to say something like this:
Why do you think masks and social distancing are effective during these hard times?
If you pick a statement, then it needs to end something like this:
I wonder....
Now, I am going to let you figure this out, because people should learn. Good luck and I hope this helps!
Graph h(x) = 4|x + 4|+3.
Answer:
Use a graphing calculator.
Step-by-step explanation:
Use at least 3 points to graph.
Use a graphing calculator
y’all i’m stuck on this problem i don’t know what equations belong to the graph
Answer:
5x-2y=7
Step-by-step explanation:
Here's a tip: The subtraction symbol in the equation indicates that the line on the graph is slanted to the right; /
And an addition symbol in an equation like this indicates that the line on the graph is slanted to the left; \
This tip will make better sense with simple equations like the ones in the picture or y = mx+b equations.
Answer:
5x-2y=7
Step-by-step explanation:
5x-2y=7
when x=0,then -2y=7, y=-7/2
when y=0, 5x=7, x=7/5
Use the Functions given to evaluate
f(g(-1)) =
The answer would be -fg But, I'm not so sure about the graph so sorry!
Express 160 kilometers per hour in miles per hour.
Answer:
It would be exactly 99.4194 mph
Step-by-step explanation:
For an for an approximate result, divide the kilometer speed value by 1.609
Answer:
100miles/hour
Step-by-step explanation:
1mile = 1.6km
3х – 13 = 23
Please give an explanation to the answer
Answer:
x = 12
Step-by-step explanation:
3x - 13 = 23
Bring non-variable numbers to other side:
3x = 36
Divide both sides by 3:
x = 12
Answer:
x = 12
Step-by-step explanation:
This equation is very easy to solve.
3x - 13 = 23 Add 13 to both sides of the equation.
3x = 36 Divide by 3 on both sides of the equation.
x = 12
Then, check your answer by substituting the solved value.
3(12) - 13 = 23
36 - 13 = 23
23 = 23
Therefore, x = 12 is the solution to the equation.
Frank buys p pounds of oranges for $2.29 per
pound and the same number of pounds of apples
for $1.69 per pound.
a. What do the coefficients represent?
ہم
b. What do the terms represent?
First let's translate these words algebraically and form an equation:
Let oranges be x and apples be y, [tex]2.29x+1.69y[/tex]
a. coefficients are the constants multiplied by the variable, they represent the price of both oranges and apples.
b. I am assuming that the terms here represent how much he paid for the pounds of oranges and apples he bought in total.
Simplify by combining like terms. Type the terms in alphabetical order. 6x-2+9y-3y-3x=
Answer:
3x + 6y - 2
Step-by-step explanation:
6x - 2 + 9y - 3y - 3x = 6x - 3x + 9y - 3y - 2 = 3x + 6y - 2
1Ox+6-8x=9x +12-8x-2
Answer:
X=4
Step-by-step explanation:
-3(3+x)+4(x-6)=-4 Please help me with this question
Answer:
[tex] \boxed{ \bold{ \huge{ \sf{x = 29}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 3(3 + x) + 4(x - 6) = - 4 }[/tex]
Distribute -3 through the parentheses
Similarly, Distribute 4 through the parentheses
⇒[tex] \sf{ - 9 - 3x + 4x - 24 = - 4}[/tex]
Collect like terms
⇒[tex] \sf{x - 9 - 24 = - 4}[/tex]
Calculate
⇒[tex] \sf{x - 33 = - 4}[/tex]
Move 33 to right hand side and change it's sign
⇒[tex] \sf{x = - 4 + 33}[/tex]
Calculate
⇒[tex] \sf{x = 29}[/tex]
Hope I helped!
Best regards!!
A drink is made from 1.5 litres of orange juice and 7.5 litres of lemonade. What fraction of the drink is orange juice? Give your answer in its simplest form.
Answer:
Hey there!
Total juice: 1.5+7.5=9
Orange juice: 1.5
1.5/9=1/6
Let me know if this helps :)
in 1993 wiley post flew around the world in 7 days, 18 hours. wileys trip would be best described as flying around the -------- of the world?
You and your friend are debating between two different places to buy pizza for dinner. Place A charges $11 for a cheese pizza and $1.50 per topping. Place B charges $12.50 for a cheese pizza and $1.00 per topping. How many toppings would you have to buy for the price to be the same from both pizza places? You would have to buy how many toppings.
If you reflect the segment with endpoints (3,2) and (-4, 3) across the line y=-X,
what are the coordinates of the new points? *
help plz
Greetings from Brasil...
Here is the graphical explanation in the annex.
A = (-4; 3)
B = (3; 2)
(segment BLUE)
After reflection on F(X) we will get the segment GREEN
note that the length M = M and N = N
A' = (-3; 4) B' = (-2; -3)Ezequiel's Biology marks are 8.3, 6.8 and 9.4 out of 10. His final grade in Biology is the mean of these three marks. b Calculate the final grade that Ezequiel found.
Step-by-step explanation:
The mean is the average.
(8.3 + 6.8 + 9.4) / 3
≈ 8.2
3. What is 3(x-7) equivalent to?
Answer:
3x-21
Step-by-step explanation:
3(x-7) you must do distributive property
3x - 21
inverse of g(x)=2x -8
Answer:
The inverse is 1/2x +4
Step-by-step explanation:
g(x)=2x -8
y = 2x-8
Exchange x and y
x = 2y-8
Solve for y
x+8 = 2y-8+8
x+8 = 2y
Divide by 2
1/2 x + 8/2 = 2y/2
1/2x +4 = y
The inverse is 1/2x +4
Answer:
y = 1/2x + 4
Step-by-step explanation:
The first equation is y = 2x - 8
switch out y for x
x = 2y - 8
add 8 to both sides
2y = x + 8
divide by 2 on each side
y = 1/2x + 4
how to find angles and how to find the number