Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
y = x² + 2x + 7 → (1)
y - 7 = x → (2)
Rearrange (2) expressing y in terms of x by adding 7 to both sides
y = x + 7 → (3)
Substitute y = x + 7 into (1)
x + 7 = x² + 2x + 7 ( subtract x + 7 from both sides )
0 = x² + x ← factor out x from each term
0 = x(x + 1)
Equate each factor to zero and solve for x
x = 0
x + 1 = 0 ⇒ x = - 1
Substitute these values into (3) for corresponding values of y
x = 0 → y = 0 + 7 = 7
x = - 1 → y = - 1 + 7 = 6
The solutions are
(- 1, 6 ) and (0, 7 )
The only set of elements that satisfied the equation 2x-1= -13 is {-6}.
<h3>What is a set?</h3>
A set is a combination of specific quantities in which the meaning of each variable must be the same.
For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.
Another example could be a set of whole numbers like that.
Given the equation,
2x-1= -13
By taking -1 right-hand side
2x = -13 + 1 = -12
By dividing 2
x = -6
Hence "The only set of elements that satisfied the equation 2x-1= -13 is {-6}".
To learn more about the sets,
brainly.com/question/8053622
#SPJ4
I got 347 as the number because 23% of 347 is almost 80.
(<span>23 *<span>347)/100 = 79.81
23*347= 7981
7981/100 = 79.81
Round that and you get 80.</span></span>
Since the correlation is positive, the slope b must be positive.
Answer:
7x + 2
Step-by-step explanation:
Original Equation: 3x − ( −2 − 4x)
First, we distribute the negative sign:
= 3x + (−1) (−2−4x)
=3x + (−1)(−2) + (−1)(−4x)
= 3x + 2 + 4x
Using the communitive property of addition, we can write:
= 3x + 4x + 2 (Instead of 3x + 2 + 4x)
Combining like terms, we get:
= (3x + 4x) + 2
= 7x + 2
