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.
I need help can some one plzzz help me
how many sides does a polygon have if each of its interior angle is 120
Mrs. Berrios is buying new running shoes. They cost $72. She can buy
them online for 30% off. How much money will be taken off the price of
the shoes?
Answer:Thus, a product that normally costs $72 with a 30 percent discount will cost you $50.40, and you saved $21.60. You can also calculate how much you save by .
So therefore answer:50.40 please brainIlist
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
Can you help me with this?
I'm not quite sure i get it.
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
A class of 80 girls and 60 boys sponsored a car
wash. If 40 percent of the girls and 30 percent of
the boys got their cars washed, approximately
what percent of the class got their cars washed?
O A. 91%
OB. 64%
OC. 50%
OD. 36%
Answer:
D
Step-by-step explanation:
80/100 x 40 = 32
60/100 x 30 = 18
18 + 32 = 50
50/(80+60) x 100 = 35.7
= 36
Thank you
Answer:
36%
Step-by-step explanation:
class total: 140 students
40% of 80= 32
30% of 60=18
18+32= 50
50 divided by 140= .36 or 36 percent
1 point
What are the x-intercepts on the following graph?
-5
-5
0
5
-5
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
The cost of a pizza varies directly as the square of its radius. If a pizza with a 6 inch radius costs Php 8.00, how much should a pizza with an 11 inch radius cost?
Answer:
An 11 inch radius pizza costs Php 14.63!
Step-by-step explanation:
We have to find the average cost for each inch radius of pizza!
8/6 = 1 1/3
The average cost is Php 1.33
Now we multiply that by 11
1.33 * 11 = 14.63
An 11 inch radius pizza costs Php 14.63
A pizza with a 6 inch radius costs Php 8.00.
A pizza with 11" radius costs Php 26.88.
Let:-
k = constant
c = cost of a pizza
r = radius of pizza
The cost of a pizza varies directly as the square of its radius.
[tex]c[/tex] ∝ [tex]r^{2}[/tex]
[tex]c=kr^{2}[/tex]
Where: c = 8, r = 6
[tex]8=k(6)^{2} \\k=\frac{8}{36} \\\\k=\frac{2}{9}[/tex]
When r = 11 inch
[tex]c=kr^{2}\\c=(\frac{2}{9})(11)^{2}\\c=26.88[/tex]
Therefore, A pizza with 11" radius costs Php 26.88.
For more information:
https://brainly.com/question/10699272
Please help me out quickly!
Answer:
imvnuifdv
Step-by-step explanation:
Brainliest 5 stars and worth 20 points, give me correct answers!!!
Use synthetic division to solve #2
Answer:
x² + x + 1 + 2/(x - 1)Step-by-step explanation:
(x³ + 1) / (x - 1) =(x³ - 1 + 2) / (x - 1) =(x³ - 1)/(x - 1) + 2/(x - 1) =(x - 1)(x² + x + 1)/(x - 1) + 2/(x - 1) =x² + x + 1 + 2/(x - 1)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
please help!! 20 points
Answer:
x = y = 36°
Step-by-step explanation:
Inscribed angles subtended on the same arc are congruent.
The measure of the inscribed angle is half the measure of its intercepted arc, thus
x = y = 0.5 × 72° = 36°
Using point-slope form, write the equation of the line that passes through (2, –1) and has a slope of –5.
Answer:
y+1=-5(x-2)
Step-by-step explanation:
Answer:
y= -5x+9
Step-by-step explanation:
solution attached
Remember That: you can always double check the answers if you're hesitant, Don't Pressure yourself and Good Luck!
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)
I would love some help with this if anyone can!
What is an equation in point-slope form for the line that passes through the points (4, -1) and (-3,4)?
A)y + 4 = - (x + 3)
B)y - 4 = - } (x + 3)
C)y + 4 = (x + 3)
D)y – 3 = - (x + 4)
Answer:
B) y - 4 = -5/7(x + 3)
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Decrease £2155.45 by 18.5%
Answer:
Decrease number by 2,155.44% of its value.
Percentage decrease = 2,155.44% × 18.5
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.
3 divided by 3/4=? ( in fraction form)
A recipe for pancakes calls for 1 cup of
pancake mix and cup of milk. How
much milk is needed to make the
recipe?
Answer:
1-2 cups of milk
Step-by-step explanation:
If I can recall, you may need 1 or 2 cups of milk, depending if you want your pancakes to be more tang and tenderness.
Hopefully this helped! :D
-LavenderVye
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.
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°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
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 °
Express the recurring decimal 0.034 (The 34 is recurring) as a fraction in its simplest form.
Answer:
34/1000
Step-by-step explanation:
34÷1000 equals 0.034
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
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
right triangle :)
Step-by-step explanation:
its at a 90 degree angle, which means its right.
Answer:
It is a right angle
Step-by-step explanation:
if you see the square at corner then you know it is a right angle and that it is 90 degrees
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