Answer:
D
Step-by-step explanation:
Given the 2 equations
y = x - 5 → (1)
y = x² - 5x + 3 → (2)
Substitute y = x² - 5x + 3 into (1)
x² - 5x + 3 = x - 5 ← subtract x - 5 from both sides
x² - 6x + 8 = 0 ← in standard form
(x - 2)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 4 = 0 ⇒ x = 4
Substitute each of these values into (1) for corresponding values of y
x = 2 → y = 2 - 5 = - 3 ⇒ (2, - 3 )
x = 4 → y = 4 - 5 = - 1 ⇒ (4, - 1 )
You're assuming that this data set represents all of Mrs. Hassaan's pupils. Certain students could be missing from the histogram - for instance, there could be one or two students who missed the test, but for certain reasons will be taking a make-up exam. Their grade would not be recording in this data set, but they still contribute to the class size, and so would be unaccounted for here.
EXPLANATION:
To get the solution of the simultaneous equation, using the elimination method:
We will have the following steps:
Step 1:
Write the two equations:
Step2: Subtract the two equations:
Step 3: Simplify the expression
Step 4: Substitute x=-2 into the formula:
Therefore, the answer is
Thus,
Option B is correct
Answer:
1 is the third term.
Step-by-step explanation:
Geometric sequences have a common ratio. This means a term divided by previous term is the same no matter the choosing of term.
So for example:
So anyways geometric sequences means you are just multiply the common ratio over and over to generate the next term.
So, the first term is 1/4.
The second term is (-2)(1/4)=-1/2.
The third term is (-2)(-1/2)=1.
Well if you make them both equal to y I got...
Y=-3x+1
Y=5x-3
But I don't think you can find it without the y since they are different variables. Like I know -3x and 5x are the slopes and 1 and -3 are the y intercepts but I'm stuck after that. Sorry if that wasn't any help.
Hope I helped.
