Answer:
Option C is correct.
Step-by-step explanation:
y = x^2-x-3 eq(1)
y = -3x + 5 eq(2)
We can solve by substituting the value of y in eq(2) in the eq(1)
-3x+5 = x^2-x-3
x^2-x+3x-3-5=0
x^2+2x-8=0
Now factorizing the above equation
x^2+4x-2x-8=0
x(x+4)-2(x+4)=0
(x-2)(x+4)=0
(x-2)=0 and (x+4)=0
x=2 and x=-4
Now finding the value of y by placing value of x in the above eq(2)
put x =2
y = -3x + 5
y = -3(2) + 5
y = -6+5
y = -1
Now, put x = -4
y = -3x + 5
y = -3(-4) + 5
y = 12+5
y =17
so, when x=2, y =-1 and x=-4 y=17
(2,-1) and (-4,17) is the solution.
So, Option C is correct.
Answer:
Yes, the scale factor is 0.6 repeating, or 0.7.
Step-by-step explanation:
You find the scale factor by dividing the smaller sides by the corresponding larger ones.
12/18 = 0.6 repeating
14/21 = 0.6 repeating
16/24 = 0.6 repeating
These triangles could be similar by SSS or SAS or ASA I think since congruent angles are shown in both triangles as well.
Step-by-step explanation:
woman = total students - men
= 26 - 11
=15
for fraction of woman , you take the 15(woman) over the total of people in the class,26.
Therefore your answer is 15 over 26
Answer:
yes
Step-by-step explanation:
i gussed
Answer:
11 years.
Step-by-step explanation:
Given that Carter invested $ 16,000 in an account paying an interest rate of 5.6% compounded monthly, to determine, assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $ 29,600, the following calculation must be performed:
16,000 x (1 + 0.056 / 12) ^ Yx12 = 29,600
Y = 11
16,000 x 1.4666 ^ 132 = X
29,581.70 = X
Thus, rounded to the nearest year, it would take 11 years for the account to reach $ 29,600.