Answer:
The fourth and fifth options.
Step-by-step explanation:
Now, there are two key points to this question that are essential - first, in a relation that is a function, for every input, there is only one single output. For instance, in the first option, we can see that when x=2, y=11 and 15. Hence, it is ruled out. The same goes for the third option; of the coordinates, it is clear that certain values overlap, and in the final option, when x= -4, y= -2 and -5.
In the fifth option, however, the input (x) leads to only one output value (y) each. Therefore, it is a function.
Secondly, the vertical line test is a visual way to determine if a curve is a graph of a function or not. The best way to do this is to either visualise a vertical straight line, or get a ruler of some sort, and drag it across the graph. If at any time, the vertical line touches more than one point, it is not a function.
If the coordinates in the second option are joined, we can see that two of them have the same x-coordinate - thus, the line would touch two points, and it is not a function.
In the fourth option, on the other hand, the vertical line only touches one point throughout the entire graph - therefore, it is a function.
Hope this helps!
f(x) = 3x + 5
Work out a if f(a)= -13
Answer:
a = - 6
Step-by-step explanation:
Given
f(x) = 3x + 5 , then
f(a) = 3a + 5 and f(a) = - 13 , then equating the right sides
3a + 5 = - 13 ( subtract 5 from both sides )
3a = - 18 ( divide both sides by 3 )
a = - 6
Answer:
a = -6
Step-by-step explanation:
see, x has been replaced by a.
so f(a) = 3a + 5 . . . . . . . (i)
a displaces x from it's every position in the equation.
and it's given that f(a) = -13
putting f(a) = -13 in equation (i) :-
3a + 5 = -13
taking like terms to one side3a = -18
dividing the equation by 3[tex] \blue{ \implies}\mathfrak { \red { \underline{ \: a = - 6 } } } [/tex]
What is … equal to?
9514 1404 393
Answer:
528
Step-by-step explanation:
The sum can be decomposed into parts that may be easier to figure.
[tex]\displaystyle\sum_{n=1}^{24}(2n-3)=2\sum_{n=1}^{24}(n)-3\sum_{n=1}^{24}(1)=2\dfrac{24\cdot25}{2}-3\cdot24\\\\=600-72=\boxed{528}[/tex]
PLEASE HELP URGENTLY!!
Answer:
x = 69
Step-by-step explanation:
since AB is parallel to CD we can find the value of y with the following equation :
2y - 40 = 66 add 40 to both sides
2y = 110 divide both sides by 2
y = 55
from supplementary angles, we know that the exterior angle's measure is 124
since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
y + x = 124 we found value of y earlier
55 + x = 124 subtract 55 from both sides
x = 69
Solve 7x + 1 < 4(x - 2).
A. {x | x > 3}
B. {x | x > -3}
C. {x | x < -3}
D. {x | x < 3}
Given:- 7x + 1 < 4(x - 2)
Solving It:-7x + 1 < 4(x - 2)
7x + 1 < 4x - 8
7x - 4x < -8 -1
3x < -9
x < -9/3
x < -3
So Correct Solution Set Will BeC. {x | x < -3}Hope This Helps YouLast month, Margo bought a tree that grows 2.5 each day. It was 5cm tall when she bought it and now it is 65cm tall. How many days has Margo owned the plant?
Answer:
2.6
Step-by-step explanation:
2.5÷65=2.6
8m 56mm change into mm
Answer:
8056 mm
Step-by-step explanation:
1 m=1000 mm
(8×1000)mm+56 mm
=8000 mm+56 mm
=8056 mm
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
x – 4
x – 2
x + 2
x + 4
Find the measure of the indicated angle to the nearest degree
Answer: x=31°
Step-by-step explanation:
To find the missing angle, we need to use SOHCAHTOA. We can eliminate sine and tangent because we aren't given the opposite side. Therefore, we use cosine.
[tex]cos(x)=\frac{48}{56}[/tex] [use inverse cosine]
[tex]x=cos^{-1}(\frac{48}{56})[/tex]
[tex]x=31[/tex]
Now, we know x=31°.
Dominic needs 0.6 ounces of fish food to feed his fish for a month. Dominic wants to know how many ounces he needs to feed his fish for 7 months. Which is the correct proportion you could use to solve this problem?
Answer:
The answer is 0.6*7=4.2ounces of fish food.
Step-by-step explanation:
If 0.6 ounces of fish food will suffice for Dominic's fish for a month, then for 7 months he would need 7 times the food he requires for 1 month.
7*0.6=4.2 ounces of fish food.
I don’t understand what A is trying to ask please could someone help me? Thank you!
You have the right idea. You'll apply a y-axis reflection to go from above the x axis to below it. This allows us to move the red line into the correct vertical position without having to use a vertical translation.
Afterward, you'll shift the red line 4 units to the right to have it line up perfectly with the blue line.
Going from f(x) to -f(x) is the y-axis reflection part
Going from -f(x) to -f(x-4) will shift the line 4 units to the right.
Answer: g(x) = -f(x-4)Are these all correct there part 1, 2,3,and 4
Answer:
yes all are right
Step-by-step explanation:
Can someone help me out, please? Its really important
Answer:
3x^4+8x^3+9x^2+2x
PLEASE HELP WILL MARK BRAINLIEST!
Answer:
a. 125 degrees
b. 62 degrees
c. 58 degrees
d. 130 degrees
Step-by-step explanation:
I assume these are the inner angles of the polygons.
remember, for a polygon with n sides we can fully split it into n-2 triangles without overlap.
each of these triangles has an angle sum of 180 degrees.
to get the total inner angle sum of the polygon, we need to multiply 180 by (n-2) (= the number of triangles).
out of that total we can then calculate the size of the missing angle.
a. 6 sides, therefore 4 triangles
4×180 = 720 degrees
the missing angle is
angle = 720 - 88 - 152 - 125 - 105 - 125 = 125
b. 5 sides, 3 triangles
3×180 = 540 degrees
angle = 540 - 109 - 111 - 140 - 118 = 62
c. 4 sides, 2 triangles
2×180 = 360
angle = 360 - 60 - 142 - 100 = 58
d. 7 sides, 5 triangles
5×180 = 900
angle = 900 - 90 - 120 - 140 - 150 - 120 - 150 = 130
Good evening, I would need some help on this exercise.
Paul takes advantage of the sales to buy pants for € 29.50 which initially cost € 5 more. He also buys a € 17 T-shirt on which he is entitled to a 25% discount at the cash desk. What percentage of the total amount of his purchases did he save by purchasing these items during the sales?
thank you
Answer:
He Saved 18.664%
Step-by-step explanation:
Well first we need to find the total of the original price of the items he got
then we can solve for how much (in percentage) he saved
We know the original price of the pant as € 34.50 because 5+29.50=34.50
Now lets find out the original price of the shirt
The shirt's original price can be found by using this equation
x * .75 = 17
17/ .75 = x
22.67 = x
Now since we know the prices of these two items lets add them together
34.50 + 22.67 = 57.17
He actually spent
29.50 + 17 = 46.5
Now what percentage of 57.17 is 46.5?
We can use 46.5/57.17 = 0.81336
.81336 *100 = 81.336%
100-81.336 = 18.664
18.664% was saved
Explain how to solve 4^(x+3)=7 using the change of base formula log_by=log y/ log b. Round to the nearest thousandth
Answer:
x = -1.59
Step-by-step explanation:
We are here given a equation and we need to solve out for x. The given equation is ,
[tex]\sf\longrightarrow 4^{( x +3)}= 7[/tex]
Take log to the base " e " on both sides , so that we can remove the variable from the exponent .
[tex]\sf\longrightarrow log_e 4^{x+3}= log_e 7[/tex]
Simplify using the property of log , [tex]\sf log a^m = m log a [/tex] , we have ,
[tex]\sf\longrightarrow (x + 3) ln 4 = ln 7 [/tex]
Distribute by opening the brackets ,
[tex]\sf\longrightarrow x ln 4 + 3 ln 4 = ln 7[/tex]
This can be written as ,
[tex]\sf\longrightarrow x ln 4 = ln 7 - 3ln4 [/tex]
Divide both sides by ln 4 ,
[tex]\sf\longrightarrow x = \dfrac{ ln7}{ln 4 } - \dfrac{ 3ln4}{ln4} [/tex]
Simplify ,
[tex]\sf\longrightarrow x = \dfrac{ ln4 }{ln7 } -3[/tex]
On simplifying , we will get ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = -1.59 }}[/tex]
Work out the circumference of this circle 7.5
Answer:
47.12
Step-by-step explanation:
C=2πr=2·π·7.5≈47.12389
Please help me with this
Answer:
1/6 for white and 1/2 for black
Step-by-step explanation:
My knowledge!
Hope it helps!
Answer:
4/15
Step-by-step explanation:
There are 6 white+4black = 10 marbles in the bag
P (white) = white marbles / total marbles = 6/10 = 3/5
We keep the marble
There are 5 white+4black = 9 marbles in the bag
P (black) = black/total = 4/9
P(white, black no replacement) = 3/5 * 4/9 = 3/9 *4/5 = 1/3*4/5 = 4/15
In English auction, an item is auctioned. People increase bids in increments of $10, and the player giving the highest bid gets the item for that amount of money. Give reasons why the auctioneer would be considered a player of the game, or reasons why he or she would not. Does the game contain random moves
find the value of the variable for 5, 6
Answer:
Step-by-step explanation:
for question 5 )
we know that x-5 = 6 because I'm pretty sure outside of the question we are told that the rectangles are similar and therefore, we can say the above
x-5 = 6
add 5 to both side
x = 11
for question 6)
30 is [tex]\frac{5}{6}[/tex] of 36, so use that on the remaining given side
[tex]\frac{5}{6}[/tex] * 15 = 12.5
then thats what the other side of the bigger shape is
12.5 = x + 6
minus 6 from both sides
6.5 = x
by the way, notice that they have used a variable "x" for both 5 & 6 which is named the same but has a different value in each problem. X is the name of the variable for each problem, but doesn't have any meaning once outside of each of the problems. It's just confusing to use the same named variable at times. something like xy and xz , might have been better names. anyway :)
Mrs. Ella bought something's bought 3 lb of apples. The price is $2.49 per pound. How much did she pay for the three pounds of apples ?
Answer:
$7.47
Step-by-step explanation:
Take the number of pounds and multiply by the price per pound
3 * 2.49
7.47 for 3 pounds of apples
Answer:
7.49
Step-by-step explanation:
Given: 3 pounds, and 2.49 for each pound
Multiply:
2.49 × 3
₁ ₂
2.49
× 3
----------
7. 47
Mrs. Ella bought 3 pounds of apples for $7.49
Can Anyone please tell me How to Multiply 18√2×18√2...
Please show steps aslo..
Answer:
648
Step-by-step explanation:
18√2×18√2= (18√2)²
= (18)²×(√2)²
= 324×2
= 648
PLEASE HELP!!!
Select the correct answer.
Which function has an average rate of change of -4 over the interval [-2, 2]?
Answer:
D.
Step-by-step explanation:
Find the average rate of change of each given function over the interval [-2, 2]]:
✔️ Average rate of change of m(x) over [-2, 2]:
Average rate of change = [tex] \frac{m(b) - m(a)}{b - a} [/tex]
Where,
a = -2, m(a) = -12
b = 2, m(b) = 4
Plug in the values into the equation
Average rate of change = [tex] \frac{4 - (-12)}{2 - (-2)} [/tex]
= [tex] \frac{16}{4} [/tex]
Average rate of change = 4
✔️ Average rate of change of n(x) over [-2, 2]:
Average rate of change = [tex] \frac{n(b) - n(a)}{b - a} [/tex]
Where,
a = -2, n(a) = -6
b = 2, n(b) = 6
Plug in the values into the equation
Average rate of change = [tex] \frac{6 - (-6)}{2 - (-2)} [/tex]
= [tex] \frac{12}{4} [/tex]
Average rate of change = 3
✔️ Average rate of change of q(x) over [-2, 2]:
Average rate of change = [tex] \frac{q(b) - q(a)}{b - a} [/tex]
Where,
a = -2, q(a) = -4
b = 2, q(b) = -12
Plug in the values into the equation
Average rate of change = [tex] \frac{-12 - (-4)}{2 - (-2)} [/tex]
= [tex] \frac{-8}{4} [/tex]
Average rate of change = -2
✔️ Average rate of change of p(x) over [-2, 2]:
Average rate of change = [tex] \frac{p(b) - p(a)}{b - a} [/tex]
Where,
a = -2, p(a) = 12
b = 2, p(b) = -4
Plug in the values into the equation
Average rate of change = [tex] \frac{-4 - 12}{2 - (-2)} [/tex]
= [tex] \frac{-16}{4} [/tex]
Average rate of change = -4
The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]
Answer:
see photo
Step-by-step explanation:
Plato/Edmentum
PLEASE HELP ASAP What is the slope of the given line ? What is the equation of the line ?
Answer:
y =8x - 64
Step-by-step explanation:
that is the procedure above the
Renting snow skis costs $15 per hour plus a $10 usage fee. Create a step function that models the cost of snow skis in terms of the number of hours the snow skis were rented. Graph your step function from t = 0 hours to t= 10 hours. Then use your model to determine the cost for the snow skis if you were skiing for 4.5 hours.
Answer:
The cost for the snow skis for 4.5 hours is $ 77.5.
Step-by-step explanation:
Since renting snow skis costs $ 15 per hour plus a $ 10 usage fee, to create a step function that models the cost of snow skis in terms of the number of hours the snow skis were rented and determine the cost for the snow skis if you were skiing for 4.5 hours the following calculation must be performed:
10 + (15X) = Cost per hour
10 + 15 x 4.5 = X
10 + 67.5 = X
77.5 = X
Therefore, the cost for the snow skis for 4.5 hours is $ 77.5.
The answer for (a) is 28 and the answer for (b) is 13 but I don’t know how to get the answer
Answer:
Step-by-step explanation:
If Quan had 15 and Kaden had 3 times as much, then Kaden had 15(3) = 45. If he spent 10 then he had 35 left. The amount of money Quan had after his mom gave him some was 4/5 the amount of Kaden's 35 (let x = the amount of money Quan has after his mom gives him some):
[tex]x=\frac{4}{5}(35)[/tex] 35 divides by the 5 in the denominator 7 times, and 7 times 4 is 28. That's how you get your 28 in part a.
For part b., he started with 15 and ended with 28, so his mom gave him 28-15=13. That's how you get the 13.
Question 2 (1 point)
Match each situation to a linear system below.
A child has a piggy bank full
of $1 and $2 coins totalling
$37.
There are 25 more $1 coins
than there are $2 coins.
1. x + 2y = 37
x - y = 25
An exam that is worth 37
marks contains 25
questions.
The questions are either
worth 1 mark or 2 marks.
2. x + 2y = 37
x + y = 25
18
3. x - 2y = 37
x + y = 25
The sum of two numbers is
25.
The first number is 37 more
than 2 times the second
number
Answer:
See answers below
Step-by-step explanation:
For the expression
The sum of two numbers is 25. The first number is 37 more than 2 times the second number
Let the two numbers be x and y
If the sum is 25, then;
x + y = 25 .... 1
37 more than 2 times the second the number is expressed as;
37+2y
If the first number is 37 more than 2 times the second number, then;
x = 37 + 2y
x - 2y = 37 ...2
This shows that the simultaneous equation that fits the expressions are;
x - 2y = 37
x + y = 25
For the expression
A child has a piggy bank full of $1 and $2 coins totaling $37. There are 25 more $1 coins than there are $2 coins.
Let x be the $1 coins
Let y be the $2 coins
If a child has a piggy bank full of $1 and $2 coins totaling $37, then;
x + 2y = 37 ... 1
Also, if there are 25 more $1 coins than there are $2 coins, then;
x = 25 + y
x - y = 25 ...2
The equivalent expressions for the statement will be;
x + 2y = 37
x - y = 25
This hence leaves us with the last;
An exam that is worth 37 marks contain 25 questions. The questions are either worth 1 mark or 2 marks. The resulting simultaneous equation will be;
x + 2y = 37
x + y = 25
A construction crew is completing about 40 yards of a new highway each day. At this rate, how long will it take them to complete a stretch of 1.6 miles?
70 days
that is the procedure above
one morning sam cycles 5km in 20 mins and Dwight cycles 6km in 30mins Determain who cycles faster. Show your work
Answer:
5 + 20 + 6
Step-by-step explanation:
that's how you get
Find the angle of depression from point A to point C
Answer:
24 degrees
Step-by-step explanation:
90-66=24
Help me out plz it’s 14
Answer:
The answer is 216
Step-by-step explanation: