Answers
Answer:
f(x) = 2
Step-by-step explanation:
f(x) represents a linear function since it had the same first differences while the "x" values are evenly space out (which we know could happen only if the function is linear). Now that we determined that the function is linear we have to write the function as an expression.
We know that any linear function has a form of f(x) = mx + b, where "m" is the slope and "b" is the y intercept (y value when x is equal to 0).
As I already mentioned the b will be equal tp the "y" intersect which is equal to the "y" value when x is equal to zero. Luckily in our table they did tell us what will be the "y" value when x is equal to zero, and it is 2. So now we know b = 2.
Then we have have to find the slope which can be found by using the following formula.....
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
Now we have to choose two different points from table and let the one that has bigger x value be represented as [tex](x_{2} , y_{2} )[/tex] and the other one will be represented as [tex](x_{1}, y_{1} )[/tex]. In our case I choose the points (2,2) and (1,2). Now if we represent them as what I mentioned earlier we can substitute their values into the equation that we ca use to find the slope. You should obtain the following.....
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{2 -2}{2-1} = \frac{0}{1} = 0[/tex]
Now that we know both the "m" and "b" values we can substitute them into the equation, and we will get he following....
f(x) = mx + b
f(x) = 0x + 2
f(x) = 2
Related Questions
What is the slope of a like perpendicular to a line with a slope of 0
Answers
Answer:
0
Step-by-step explanation:
Dont take my word for it but I think it should be 0
Edals of Petals, a bike manufacturer that makes flower-themed bikes, has a fixed cost of $100,000 due to the equipment necessary to make the bicycles. Additionally, each bike costs $100 in labor and materials to make. If each bike sells for $300, how many bikes must be sold in order for the company to break even?
Answers
Given:
Fixed cost = $100,000
Additional cost = $100 on each bike
Selling price = $300 each bike
To find:
The number of bikes that must be sold in order for the company to break even.
Solution:
Let x be the number of bikes.
Additional cost of 1 bike = $100
Additional cost of x bikes = $100x
So, the cost function is
Total cost = Fixed cost + Additional cost
[tex]C(x)=100000+100x[/tex]
Selling price of 1 bike = $300
Selling price of x bikes = $300x
So, the revenue function is
[tex]R(x)=300x[/tex]
At break even, the profit is zero. It other words, cost and revenue are equal.
[tex]C(x)=R(x)[/tex]
[tex]100000+100x=300x[/tex]
[tex]100000=300x-100x[/tex]
[tex]100000=200x[/tex]
[tex]\dfrac{100000}{200}=x[/tex]
[tex]500=x[/tex]
Therefore, 500 bikes must be sold in order for the company to break even.
Tyrese wants to buy 15 packs of baseball cards. They cost $ 5.00 per pack. There is a 25 % discount before tax if 10 or more packs are purchased. Sales tax is 7 % . Tyrese gives the cashier $ 100 to pay for his baseball cards. How much change will he receive in return?
Answers
Answer:
Tyrese will receive $39.81 in return.
Step-by-step explanation:
First, you have to multiply the 15 packs for the cost per pack:
15*$5=$75
As there is a 25% discount before tax if 10 or more packs are purchased, you have to calculate 25% of the total cost for the 15 packs and subtract that amount from the cost:
$75*25%=$18.75
$75-$18.75=$56.25
Then, you have to calculate 7% of the amount with the discount and add that to the cost:
$56.25*7%=$3.93
$56.25+$3.94=$60.19
Now, you can subtract $60.19 from $100 to find the change that Tyrese will receive in return:
$100-$60.19= $39.81
According to this, the answer is that Tyrese will receive $39.81 in return.
Complete the proof....
Answers
Answer:
The correct options are;
1. Definition of supplementary angles
2. m∠1 + m∠2 = m∠1 + m∠3
3. m∠2 = m∠3
4. Definition of Congruent Angles
Step-by-step explanation:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. ∠1 and ∠2 are supplementary [tex]{}[/tex] Given
[tex]{}[/tex] ∠1 and ∠3 are supplementary
2. m∠1 + m∠2 = 180° [tex]{}[/tex] Definition of supplementary angles
[tex]{}[/tex] m∠1 + m∠3 = 180°
3. m∠1 + m∠2 = m∠1 + m∠3 [tex]{}[/tex] Transitive Property
4. m∠2 = m∠3 [tex]{}[/tex] Subtraction Property of Equality
5. ∠2 ≅ ∠3 [tex]{}[/tex] Definition of Congruent Angles
Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.
Use the rule provided to generate the first five terms of the sequence. The rule
is 4n + 5.
Answers
Answer:
9, 13, 17, 21,25
Step-by-step explanation:
n=1, 4×1+5=9
n=2, 4×2 +5=13
::
:
n=5, 4×5 + 5= 25
A sports club needs to raise at least $240 by selling chocolate bars for $3.00 each. Sebastian wants to know how many chocolate bars, c, the sports club must sell to reach their goal. He represented this situation as 3c > 240. Which graph represents the ineqaulity?
Answers
Answer:
C
Step-by-step explanation:
Took the test
Write an inequality that represents the graph.
Answers
Answer:
[tex]y - 2x - 1 = 0[/tex]
Step-by-step explanation:
the slope is :
[tex] \tan( \alpha ) = 4 \div 2 = 2[/tex]
at a pt on graph , when
[tex]x = 1 \\ y = 3 \\ [/tex]
therefore, coordinates are (1,3)
The equation is :
[tex](y - 3) = slope \times (x - 1) \\ (y - 3) = 2 \times (x - 1) \\ y - 3 = 2x - 2 \\ y - 2x - 1 = 0[/tex]
What is the y intercept for -28 and 50
Answers
Answer:
The y intercept is the b in y = mx + b
Step-by-step explanation:
If b=24 and c=10 what is for the missing side a= ? by Use the Pythagorean Theorem to find.
Answers
Answer:
a = 26
a ~ 21.8
Read explanation
Step-by-step explanation:
There are two possibilities;
[tex]a^{2}+c^{2}=b^{2}[/tex]
Or
[tex]b^{2}+c^{2}=a^{2}[/tex]
This is because one doesn't know the longest side, and hence there are two possibilities as to what the longest side is.
1. [tex]a^{2}+c^{2}=b^{2}[/tex]
Substitute in the given values;
[tex]a^{2}+(10)^{2}=(24)^{2}[/tex]
[tex]a^{2}+100=576[/tex]
[tex]a^{2}=476[/tex]
a=[tex]\sqrt{476}[/tex]
a~21.8
2.[tex]b^{2}+c^{2}=a^{2}[/tex]
Substitute in the given values;
[tex](24)^{2}+(10)^{2}=a^{2}[/tex]
[tex]576+100=a^{2}[/tex]
[tex]676=a^{2}[/tex]
[tex]26=a[/tex]
pls help how to slove this
Answers
Answer:
a° = 124°
Step-by-step explanation:
Angle E + 250° = 360 because they make a full angle
a° + 126° + E = 360°
a° = 360 - 126 - 110
a° = 124°
Answer:
a=125°
Step-by-step explanation:
The angle at E=360-250=110°
Draw a horizontal through E, parallel to AB and CD such that it divides angle E into two angles of 55° each. Produce line AB to M such that the 55° at E is alternate with it.
A and 55° are now supplementary angles therefore
a+55°=180°
a=180-55=125°
A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?
Answers
Answer:
2.5%
Step-by-step explanation:
A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?
The formula for Rate of Interest in a simple interest is given as:
r = (1/t)(A/P - 1)
Where
t = time in years = 3 years
P = Principal = Initial amount invested = Ghc 500,000.00
A = Amount after t years =
Principal + Simple Interest
= Ghc 500,000.00 + Ghc 37,500.00
= Ghc 537,500.00
Hence:
The rate of interest = (1/3) × (Ghc 537,500.00/Ghc 500,000.00 - 1)
= r = 0.025
Converting r decimal to R a percentage
R = 0.025 × 100 = 2.5%/year
Therefore, the rate of interest per annum is 2.5%
A die is rolled twice.
What is the probability of rolling a 3
followed by a 2?
Give your answer as a rational number, reduced to
simplest terms.
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Enter
Answers
Answer:
It's 1/36
Hope this is the correct ans
Which equation represents the line that passes through the points (–3, 7) and (9, –1)? y = negative two-thirds x + 5 y = negative two-thirds x minus 7 y = two-thirds x minus 7 y = two-thirds x + 5 Mark this and return
Answers
Answer:
y equals, 2 x minus 5 in the x y-plane is a line with slope 2 and a y-intercept
Step-by-step explanation:
Answer:
y=2/3+5
Step-by-step explanation:D
Rewrite each algebraic expression with fewer terms
Can anyone help me?
1) 9.5(a+4)-a
2) 8+h-2•5
Answers
h-2 just got to distribute and combine like terms my brotha
Answer:
1. 8,5a + 38
2. 5,5+b
Step-by-step explanation:
1. a) 9,5(a+4)-a= 9,5a + 38-a= 8,5a + 38
2. 8+b-2,5= 5,5+b
Write three equivalent ratios for 8 triangles to 12 circles
Answers
Answer:
Step-by-step explanation:
8 triangles : 12 circles
4 triangles : 6 circles
2 triangles : 3 circles
16 triangles : 24 circles
Plz help me out !!! I rlly need u guys to help
Answers
Answer1: for every 5 kids there are 9 parents
2 part a: the for every 4 cookies for every 9 sodas that are sold
2 part b:the ratio of cookies to soda is 9:4
3.the ratio of pencils to erasers is 15:7
3: for every 15 pencils there are 7 erasers.
4.The first blank is 2eyes there Are4 legs
Step-by-step explanation:
Answer:
hope this helps :)
Step-by-step explanation:
5 to 9
the number of cookies sold to sodas sold id 9:4
the ratio of erasers to pencils is 15:7
1 point
8
At a store, toothbrushes cost x dollars and
bars of soap cost y dollars. One customer
bought 2 toothbrushes and 1 bar of soap
for $11. Another customer bought 6
toothbrushes and 5 bars of soap for $38.
Both amounts do not include tax. How
much does each toothbrush and each bar of
soap cost?
a) toothbrushes: $4.25 soap: $2.50
b) toothbrushes: $3.00 soap: $4.00
c) toothbrushes: $4.50 soap: $2.25
d) toothbrushes: $2.50 soap:
$4.25
e) toothwrushes: $4.00 soap: $3.00
Answers
soap;2.50
since 4.25 times 2 is 8.50 then you add 8.50 plus 2.50 equals 11
then for the other customer you do 4.25 times 6 equal 25.5 and then do 2.50 times 5 equals 12.5 then you add 25.5 plus 12.5 equals 38
Pls help it’s due today. I’ll give BRAINLIEST
Answers
Answer:
You can't get an actual amount unless you know the length of one of the sides. Other than that, AC would be 3 times as much as DE minus 10 units
Step-by-step explanation:
. What is 7/10 as a percent?
Answers
Answer:
70%
Step-by-step explanation:
5/10. 50%
6/10. 60%
7/10. 70%8/10. 80%
9/10. 90%
Answer:
70%
Step-by-step explanation:
7 + 2 (a -3) = -9
What is the answer do this?
Answers
Answer:
7+2(a-3)=-9
a= -5
Step-by-step explanation:
7+2(a-3)=-9
Distribute 2 through the parentheses
Example: 7+2a-6=-9
Next: 7+2a-6=-9
Subtract the numbers
1+2a=-9
Move constant to the right hand side and change its sighn 2a=-9-1
2a=-9-1
Calculate the difference
2a=-10
Divide both sides of the equation by 2
Answer: a=- -5
the sum of two numbers is 41. the smaller number is 19 less than the larger number. what are the numbers?
Answers
Answer:
30, 11
Step-by-step explanation:
x+x-19=41
2x=41+19=60
x=60/2=30
x-19=11
I WILL GIVE BRAIN LIST
Stephanie is giving a presentation to a new client. It took her 1713
minutes to finish a 13-slide presentation. She took the same amount of time on each slide. How long did she spend on each slide?
A
34
minute
B
1 minute
C
113
minutes
D
112
minutes
Answers
Answer:
131.7 min so c
Step-by-step explanation:
Answer:
The answer that I got is not listed in the options but the closest to that is C) 113 mins
Step-by-step explanation:
btw I got 131.7
Which angle is coterminal with a 635° angle?
A. An angle measuring 85°
B. An angle measuring 275°
C. An angle measuring 255°
D. An angle measuring 335°
Answers
Answer:
B.
Step-by-step explanation:
the answer is B bevause you subtract 635 and 360, and then you get 275.
An angle measuring 275° is coterminal with a 635° angle.
What is Coterminal angles?This classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.
here, we have,
we know that,
A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.
Thus,
For w=1 and α=635°
β = 635° ± 360 * 1
β = 635° ± 360
Then, β can be 635°+360=995° or 635°-360= 275°
For w=2 and α=635°°
β = 635° ± 360 * 2
β = 635° ± 720
Then, β can be 635°+720=1355° or 635°-720= -85°
Therefore, the answer to this question is option B.
Read more about the coterminal angles here:
brainly.com/question/19573972
#SPJ7
Answer this please and I would like for you to explain I’ll be giving out ^brainliest^
Answers
Answer:btb
Step-by-step explanation:
There are 800 students in a school and 45% of
the students are male. If 30% of the male students
and 25% of the female students play varsity sports,
how many students play varsity sports?
Answers
Answer:
218
Step-by-step explanation:
No. of male students = [tex]\frac{45}{100}[/tex] × 800
= 360
No. of male students that play varsity sports = [tex]\frac{30}{100}[/tex] × 360
= 108
------------------------------------------------------------------------------------------------------------
No. of female students = 800 - 360
= 440
No. of femal students who play varsity sports = [tex]\frac{25}{100}[/tex] × 440
= 110
Total no. of students who play varsity sports = 108 + 110
= 218
Which of the following represents the relationship between the circumference, c, and diameter, d, of any circle?
Answers
Given:
Circumference of a circle = C
Diameter of a circle = d
To find:
The relationship between the circumference, c, and diameter, d, of any circle.
Solution:
We know that, circumference of a circle is
[tex]C=2\pi r[/tex]
It can be written as
[tex]C=(2r)\pi [/tex]
[tex]C=d\pi [/tex] [tex][\because d=2r][/tex]
On dividing both sides by d, we get
[tex]\dfrac{C}{d}=\pi [/tex]
Therefore, the correct option is (F).
Please help!!! Thank you!!!
Answers
Answer:
1. 180° ∑triangle angles=180°
2. 2x
3. 52°
The equation
24x2+25x−47
ax−2
=−8x−3−53
ax−2
is true for all values of x≠2/a
where a is a constant.
What is the value of a?
A) -16
B) -3
C) 3
D) 16
Answers
Answer:
Either A or C I think, Good luck!!!
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
24x2+25x−47=(−8x−3)(ax−2)−53
then multiply (−8x−3) and (ax−2) using FOIL.
24x2+25x−47=−8ax2−3ax+16x+6−53
Then, reduce the right side of the equation
24x2+25x−47=−8ax2−3ax+16x−47
Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.
The final answer is B.
18. The average honeybee can travel 10.5 feet per
second. How many feet can the honeybee travel in
3.7 seconds?
Answers
Answer:
38.85 feet
Step-by-step explanation:
If the honeybee can travel 10.5 feet per second you multiply 10.5 by 3.7 to get the total for 3.7 seconds.
whats the mean of the following numbers : 74, 75, 80, 76, 75, 81, 78
Answers
Answer:
The mean is 77.
Answer:
The mean of this equation is 77
Step-by-step explanation:
74+75+80+76+75+81+78-539
Number of terms=7
539/7=77