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Norma-Jean [14]
3 years ago
11

PPPPPPPPPPPLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZ

Mathematics
1 answer:
svlad2 [7]3 years ago
4 0
Easiest way is if you substitute each point (x,y) into each set of equations and both points work for both equations in the system of equations, then it is the correct answer

Otherwise substitute one equation for y in the other equation:
2x + 6 = x^2 + 5x + 6
-2x - 6. -2x -6
0 = x^2 + 3x. Factor
0 = x (x + 3)
Solve: x = 0. x + 3 = 0. ——> x = -3. Substitute into one original equation to get y value for
y = 2x + 6.
y = 2(0) + 6. y = 2(-3) + 6
y = 6. y = -6 + 6 —-> y = 0
(0 , 6) And. (-3 , 0)

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According to the school survey 12% of the students at Rockwood high school speak Spanish there are 36 students at the school who
Svet_ta [14]
36 - 12%
x - 100%

x=\frac{100\%\cdot36}{12\%}\\
x=300

6 0
3 years ago
Read 2 more answers
A local hamburger shop sold a combined total of 763 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburgers s
Airida [17]
In order to solve this we'll start by assigning variables to hamburgers and cheeseburgers, since these are what we're trying to find. Lets say x = hamburgers and y = cheeseburgers. So we know two things, we know that x+y= 763 (hamburgers plus cheeseburgers sold equals 763, and we know that y= x+63 (cheeseburgers sold equals 63 more than hamburgers sold). Now we have a system of equations. This can be solved most easily by rearranging each equation to each y, and then set them equal to each other:
x+y=763 -> y=763-x, and we already have y=x+63. Set them equal to each other:
x+63 = 763-x (add x to both sides) -> 2x+63 = 763 (subtract 63 from both sides) -> 2x = 700 (divide both sides by 2) x = 350. So we solved for x, which is hamburgers sold, which is what the question asks for, so your answer is 350 hamburgers were sold on Saturday
6 0
3 years ago
Line GH contains points G(–2, 6) and H(5, –3). Given the points, what is the slope of the line ?.
IRINA_888 [86]
The slope is m = rise/run
m = ( -3 - 6 ) / ( 5 - ( -2 )) = -9 / ( 5 + 2 ) = - 9/7
Answer: the slope of the line is -9/7.
6 0
3 years ago
Read 2 more answers
If Carl takes a pizza with 8 slices and has three friends eat a slice, what fraction of the pizza is left?
murzikaleks [220]
Ok so the wording is confusing

is it
A. 3 friends took 1 slice each (total is 3 slice) or
B. 3 friends took 1 slice total

if A, go to AAAAAA
if B. to to BBBBB


AAAAAAAAAA
3 slices taken
fraction is parts out of whole
what is left
left=original-taken
taken=3
original=8
8-3=5
5=left
fraction is 5/total=5/8


BBBBBB
taken=1
fraction is parts out of whole
what is left
left=original-taken
taken=1
original=8
8-1=7
7=left
fraction is 7/total=7/8





if 3 slices taken total then 5/8 left
if 1 slice taken totl then 7/8 left
8 0
3 years ago
Read 2 more answers
Write a function to represent the set of ordered pairs.<br> {(2, 2), (3,7). (4, 14), (5,23)}
MrMuchimi

Answer:

Step-by-step explanation:

The set of ordered pairs {(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)} is a function

The set of ordered pairs {(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)} is not a

function

The set of ordered pairs {(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)} is a function

The set of ordered pairs {(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)} is a function

An ordered pair represents a relationship between two values

The first value is the input the second value is the output

1. A relation is a set of inputs and outputs

2. A function is a relation with one output for each input

3. All functions are relations

{(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)}

∵ Each x-coordinate in each ordered pair has only one y-coordinate

∴ The relation above is a function

The set of ordered pairs {(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)} is a function

{(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)}

∵ The x-coordinate 4 has two values of y (7 and -6)

∴ The relation above is not a function

The set of ordered pairs {(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)} is not a

function

{(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)}

∵ Each x-coordinate in each ordered pair has only one y-coordinate

∴ The relation above is a function

The set of ordered pairs {(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)} is a function

{(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)}

∵ Each x-coordinate in each ordered pair has only one y-coordinate

∴ The relation above is a function

The set of ordered pairs {(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)} is a function

6 0
3 years ago
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