The table below represents a function. Which of the following equations could be its function rule?
x y
0 -2
1 0
3 4
-2 -6
y = -2 x
y = 2 x - 2
y = x - 2
y = 3 x - 3
Answer:
[tex]y=2x-2[/tex] is the required equation.
Therefore, the second option is true.
Step-by-step explanation:
We know that the slope-intercept form of the line equation of a linear function is given by
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)[/tex]
[tex]m=\frac{0-\left(-2\right)}{1-0}[/tex]
[tex]m=2[/tex]
substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.
[tex]y=mx+b[/tex]
[tex]-2 = 2(0)+b[/tex]
[tex]-2=0+b[/tex]
[tex]b=-2[/tex]
Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function
[tex]y=mx+b[/tex]
[tex]y=2x+(-2)[/tex]
[tex]y=2x-2[/tex]
Thus, [tex]y=2x-2[/tex] is the required equation.
Therefore, the second option is true.
how many sides does a polygon have if each of its interior angle is 120
Select the correct answer from each drop-down menu.
1. A. increase quickly
B.increase slowly
C. decrease slowly
D. decrease quickly.
2. A. increase quickly
B.increase slowly
C. decrease slowly
D. decrease quickly.
3-4 Write equation for each then evaluate it using the given values.
3. The Frosty Ice-Cream Shop sells sundaes for $3 plus $0.50 per topping.
a. Write an equation to represent the cost of an Ice cream Sunday with or
without toppings.
b.
Use the equation above to find the cost of an Ice Cream Sunday with 1,
3, & 5 toppings.
Find the value of s(5) in function s(x)=2^x+10
Answer:
42
Step-by-step explanation:
For this, all you need to do is replace x with 5
S(5) = 2^5 + 10
2 x 2 x 2x 2 x 2
4 8 16 32
32 + 10 = 42
On Saturday, Kylee’s volleyball team will be having a family picnic. Hot dogs are sold at the local store with 15 hot dogs in a package. Hot dog buns, however, are only sold in packages of 6 hot dog buns. Kylee’s team wants to buy the exact same number of packages for hot dogs as hot dog buns.
What is the least number of packages of hot dogs and hot dog buns that Kylee’s team should buy to have exactly the same number of hot dogs as hot dog buns? If a package of hot dogs cost $2.98 and a package of hot dog buns cost $2.16, what was the total expense?
Answer:
Kylee's family need at least 2 packages of hot dogs and 5 packages of hot dog buns to have exactly the same number of hot dogs and hot dog buns.
Total expense is $16.76
Step-by-step explanation:
The lowest common multiple of 6 and 15 is 30.
Two packages of hot dogs contain 30 hotdogs.
Five packages of hot dog buns contain 30 hotdog buns.
If one package of hotdog costs $2.98, two packages would cost $2.98 × 2 = $5.96
If one package of hot dog buns costs $2.16, five packages would cost $2.16 × 5 = $10.8
$5.96 + $10.8 = $16.76
the graph shows the functions
Answer:
x = -1, y = -1 and x = [tex]\frac{1}{2}[/tex] , y = 2
Step-by-step explanation:
To find the solution of the system of equations from their graphs find the intersection points between the two graphs, they are the solution of the system
In the given figure
∵ f(x) = 2x + 1
∴ It is represented graphically by a line
∵ g(x) = [tex]\frac{1}{x}[/tex]
∴ It is represented graphically by two curved lines on 1st and 3rd
quadrants
∵ The solution of the system of the equations is the points of
the intersection of the two graphs
∵ The two graphs intersected at points (-1, -1) and ([tex]\frac{1}{2}[/tex] , 2)
∴ The solution of the system of the equations is (-1, -1) and ([tex]\frac{1}{2}[/tex] , 2)
∴ x = -1, y = -1 and x = [tex]\frac{1}{2}[/tex] , y = 2
Decrease £2155.45 by 18.5%
Answer:
Decrease number by 2,155.44% of its value.
Percentage decrease = 2,155.44% × 18.5
Use an equation and combining like terms to find the value of x in the figure below:
**HINT: The sum of the interior angles in a triangle is 180°
to
65°
65°
Answer:
x = 50°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up equation
x° + 2(65°) = 180°
Step 2: Solve for x
Multiply: x + 130 = 180Isolate x: x = 50°If u can read 10 pages in 5 minutes how many can you read in 1 minute
Answer:
0.5
Step-by-step explanation:
5/10=0.5
Find the value of xxx in the triangle shown below.
Answer:
x = 50 °
Step-by-step explanation:
This is an isosceles triangle, and this is apparent because there are two sides which are of the same length (7). This means that the angles opposite to it would also be same (this is one of the properties of an isosceles triangle).
So the other angle would also be x. And the sum of all angles in a triangle would add up to 180.
x + x + 80 = 180
2x = 100
x = 50 °
Which digits repeat in the decimal number 28.1543?
1543
543
3
43
Answer:
43
Step-by-step explanation:
there is a line above the 43, meaning that it ends in 434343434343434343434343434343...... You get the point.
Answer:
43
Step-by-step explanation:
what would this be?...
solve: -1/2x + 3 = -x + 7
a.1/2
b.8
c.-8
d.2
The answer for this question is B (8)
Which is the quotient for
19
.
04
÷
0
.
17
?
A.
10.2
B.
11.2
C.
102
D.
112
Answer:
i think its D
Step-by-step explanation:
D
The wholesale price of a stereo is $105. If Best Buy marks up the price by 65%, what is the retail price?
Answer:
Subtract wholesale price from the "sale" price.
Step-by-step explanation:
what is what3 2/3 + 3/5 as a fraction brainly
Answer:
It is 4 4/15
Step-by-step explanation:
We convert 2/3 and 3/5 to fifteenths because we cant add numbers with different denominators.
2/3 = 10/15 | 3/5 = 9/15
10/15 + 9/15 = 19/15 = 1 4/15. Then, we add the 3.
3 + 1 4/15 = 4 4/15.
Find the surface area of the square pyramid
Answer:
The surface area of the square pyramid is 40 units².
Step-by-step explanation:
As we know that the total surface area of a square pyramid can be obtained by identifying the length 'b' of its base and its slant height 's' by using the formula:
[tex]A=2bs+b^2[/tex]
From the figure, it is clear that
length of its base = 'b' = 4slant height = 's' = 3substituting the values in the formula
[tex]A=2bs+b^2[/tex]
[tex]A=2\left(4\right)\left(3\right)+\left(4\right)^2[/tex]
[tex]=2\left(4\right)\left(3\right)+16[/tex]
[tex]=40[/tex]
Therefore, the surface area of the square pyramid is 40 units².
3 divided by 3/4=? ( in fraction form)
Simplify the expression: 18.1 - 1.1(7.4 - 9.6 + 0.5) please show your work!
Answer:
19.97
Step-by-step explanation:
18.1 - 1.1 x (7.4 - 9.6 + 0.5)
18.1 - 1.1 x (-2.2 + 0.5)
18.1 - 1.1 x (-1.7)
18.1 + (1.87)
19.97
The simplified value of the expression 18.1 - 1.1(7.4 - 9.6 + 0.5) is 36.8.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 18.1 - 1.1(7.4 - 9.6 + 0.5).
let us multiply each term of the expression to remove the decimal.
∴ 181 - 11(74 - 96 + 5).
= 181 - 11(-17).
= 181 + 187.
= 368 but the actual answer is 36.8 as we have to divide by 10.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
1 point
What are the x-intercepts on the following graph?
-5
-5
0
5
-5
Ms. Santana paid $46 for 5 candles. Each candle cost the same amount. What was the cost of each movie candle in dollars and cents?
Answer:
$9.20
Step-by-step explanation:
Answer
9.20
Step-by-step explanation:
Susan buys the items listed below at a grocery store. 2 packages of chicken priced at $12.56 per package 1 pound of broccoli priced at $1.98 per pound 2 1 gallon of milk priced at per $3.49 gallon There is no sales tax on the food she buys. Susan pays for the items and receives $0.80 in change. What amount of money does Susan use to pay for the items?
Answer: $30
Step-by-step explanation:
Your question isn't well written. Here's the complete question:
Susan buys the item listed below at a grocery store. 2 packages of chicken priced at $12.36 per package. 1/2 pound of broccoli priced at $1.98 per pound. 1gallon of milk priced at $3.49 per gallon. There is no sales tax on the food she buys. Susan pays for the items and recevies $0.80 in change. What amount of money does Susan use to pay for the items?
2 packages of chicken priced at $12.36 per package will cost:
= 2 × $12.36
= $24.72
1/2 pound of broccoli priced at $1.98 per pound will cost:
= 1/2 × $1.98
= $0.99
1 gallon of milk priced at per $3.49 per gallon will be:
= 1 × $3.49
= $3.49
We are then told that Susan pays for the items and receives $0.80 in change. The amount of money does Susan use to pay for the item will be:
= $24.72 + $0.99 + $3.49 + $0.80
= $30
Write an equivalent expression
-3 + 2/3y - 4 - 1/3y
Answer:
join the y-related together and the others together
ie -7+1/3y
thats the shortest form one can drill down to, so that should be the answer
Step-by-step explanation:
To write an equivalent expression, we need to simplify the given expression by combining like terms. Like terms are terms that have the same variable and exponent. We can use the distributive property to remove parentheses or other grouping signs to then combine like terms.
The given expression is -3 + 2/3y - 4 - 1/3y. We can see that there are no parentheses or grouping signs, so we can skip that step. We can also see that there are two like terms: 2/3y and -1/3y. We can combine them by adding their coefficients: 2/3 + (-1/3) = 1/3. So, we get:
-3 + 2/3y - 4 - 1/3y = -3 - 4 + (2/3 - 1/3)y = -7 + (1/3)y
This is the simplified expression that is equivalent to the given expression.
Can anybody help me on this please
Answer: -53, 53
Step-by-step explanation:
It’s asking for the slope first, so let’s find it:
First, let’s determine our coordinates.
We have (1, 930) and (6, 655).
The slope equation is [tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex], so let our (1, 930) be our x_1 and y_1, and (6, 655) be our x_2 and y_2.
So, we have,
= [tex]\frac{655-930}{6-1}[/tex]
This simplifies to
= [tex]\frac{-265}{5}[/tex]
which is -53.
Therefore, the slope is -53, so the balance decrease by $53 each month.
The table shows the derivation of cos(2x). Select the
correct reason for each step.
Answer:
Reason 1 is: Addition
Reason 2 is: Sine Sum Identity
Reason 3 is: Simplify
Step-by-step explanation:
just did it on edge
Answer:
1: Addition
2: Cosine Sum Identity
3: Simplify
Step-by-step explanation:
What is the value of x?
A.22
B.38
C.42
D.5
Answer: B) 38
Step-by-step explanation:
1) [tex]x+(x+6)+(3x-16)=180[/tex] (sum of angles in triangle)
2) [tex]5x-10=180[/tex] (Algebra)
3) [tex]5x=190[/tex]
4) x= 38 degrees
Answer: x = 38
Step-by-step explanation:
1) Add 3x - 16 and x + 6 and x together. You get 5x - 10.
2) All sides of a triangle equals 180 degrees, so that means 5x - 10 = 180.
3) Add 10 to both sides, 5x = 190.
4) 190/5 = 38
5) 38 is your answer.
Please help me please thank you so much in advance
Answer:i think its 90 degrees ?
Step-by-step explanation:
A recipe calls for 2/3 of cup of milk for 11 cookies. How many cups of milk are needed to make 165 cookies?
A. 10
B. 110
C.11
D.22
Answer:
the answerr issssss c cccccccccccccc
Step-by-step explanation:
1726 rounded to the nearest 100
Answer:
1726 to the nearest 100 = 1700
Answer:
1700
700 is the nearest 100
2 lower than 5>0
if 6>+1
write an equation that is parallel to 7/8x+1 and an equation that is perpendicular to 7/8x+1
Answer:
7/8x-3 and -8/7x-1
Step-by-step explanation:
parallel: same slope, different y-intercepts (I chose -3)
7/8x-3
perpendicular: opposite signs and reciprocal
-8/7x-1