Answer:
a- (x-7)(x+9) | b- 193*207 | c- 242*258
Step-by-step explanation:
a)
x^2+2x-63.
the middle number is <em>2 </em>and the last number is <em>-63</em>.
You would have 2 numbers that add to 2 and multiply to -63.
Those numbers are -7 and 9.
so (x-7)(x+9).
b)
((200)-7)((200)+9)
(193)(209).
You can check this by multiplying 193 by 209 and then doing (200)^2+2(200)-63. Both would equal 40337.
c)
2(x-7)+2(x+9)=1000
(2x-14)+(2x+18)=1000
4x+4=1000
4x=996
x=249.
((249)-7)((249)+9)
(242)(258)
Answer:
Step-by-step explanation:
We first have to write an expression for each of the types of coins in terms of one of them. If he has 8 more dimes than nickels, let's call nickels "x". That means that dimes is "x + 8". The value of a nickel is .05, so the expression relating the number of nickels to the worth of the nickel is .05x. The value of a dime is .10, so the expression relating the number of dimes to the worth of the dime is .10(x + 8). The total value of these coins is 1.70:
.05x + .10(x + 8) = 1.70 and
.05x + .10x + .8 = 1.70 and
.15x = .9 so
x = 6
That means we have 6 nickels and 14 dimes.
Answer:(0,0) (-1,0) (-1,3)
Step-by-step explanation:
scf 0.5 is shrinking the shape by a 1/2
The coordinates of a point of enlargment is (3,1)
so you work out the vectors of each corner than times it by 0.5
The vector of one cooridnate is (-6 -2)
-6x0.5=-3
-2x0.5=-1
so the vector is -3 -1 from the point of enlargment is the shape .
(-8 -2 ) is the coodinates of the next vector so
(-4 -1)
Then the last
(-8, 4)
(-4,2) vector for the last coodinate
sorry i couldn't write out the vector properly in the right notation .
Answer: 4 and 7.5 you multiply them
Step-by-step explanation:
The temperature will be 16 degrees outside since it was -14 and will be 30 degrees higher than before