(x - 4)(2x + 3)
Using foil:
2x^2 + 3x - 8x - 12
Simplify.
2x^2 - 5x - 12 is the product after using FOIL.
Answer:
$5.625
Step-by-step explanation:
Cost per pound of beef = $1.25 per pound
Number of pounds purchased = 3.5 pounds
Amount given to cashier = $10.00
Amount of change to receive from cashier =?
Amount issued to cashier - total cost of beef
Total cost of beef = (number of pounds * cost per pound)
Total cost of beef = (3.5 * 1.25) = $4.375
$10 - $4.375 = $5.625
Answer:
700$ at 2% 800$ at 4%
Step-by-step explanation:
x+y=1500 This is because the total is 1500 dollars into 2 different accounts, x and y.
0.02x+0.04y=44 This is because it says 2 percent interest in one account and 4 percent in the other, and the totals add up to 44 dollars.
Now use elimination method.
x+y=1500(-0.02)=-0.02x+-0.02y=-30
0.02x+0.04y=44
Now you end up with 0.02y=14, solve for y and you get 700. That's the value of y which now you can then subtract from 1500 and get 800 which is the value of x.
Answer:
Step-by-step explanation:
Let the 10s digit = x
Let the units digit = y
x +y = 11 Sum of the digits = 11
10x + y + 45 = 10y + x Reversed number is 45 more than original #
10x - x + y + 45 = 10y We subtracted x from both sides.
9x + y + 45 = 10y Subtract y from both sides.
9x + 45 = 10y - y Combine the right
9x + 45 = 9y
Put x + y = 11 into the equation just found.
9x + 45 = 9(11 - x) divide through by 9
x + 45/9 = 11 - x add x to both sides
2x + 5 = 11 Subtract 5 from both sides
2x = 11 - 5
2x = 6 Divide by 2
x = 6/2
x = 3
x + y = 11
3 + y = 11
y = 11 - 3
y = 8
Now check it out.
the original number is 38
the new number is 83 which the digits are reversed.
83 - 38 = 45 just as it should.
3) <3 = <4 .....> Vertical angles are congruent
Answer is B.<3 = <4
