Answer:
2x+3y-z²
Step-by-step explanation:
twice a number =2x
thrice a number =3x
minus z²
HOPE THIS HELPS!!!
Answer: c
Step-by-step explanation: Usually sides that are diagonal are congruent in parallel lines, and ones that are vertical or horizontal from each other add up to 180.
This is the concept of application of quadratic equations; To get the number of dimes and quarters we proceed as follows;
suppose there are x dimes and y quarters;
x+y=95.......i
but we know;
$0.1=1 dimes
$0.25=1 quarters
thus
0.1x+0.25y=23.45.....ii
solving equation i and ii by substitution we shall have:
from i;
x=95-y
thus substituting the value of x in equation ii we get
0.1(95-y)+0.25y=23.45
9.5-0.1y+0.25y=23.45
collecting like terms we get:
0.15y=13.95
dividing both sides by 0.15 we get;
y=13.95/0.15=93
x=95-93=2
therefore we conclude that there were 2 dimes and 93 quarters
Answer:
Option b
Explanation:
To solve this problem you need to plug in the values provided and determine if they make the equation true.
Step 1 - Plug in the values for x and y given in option a. Determine if all values make the equation true.
y = 3x + 1
1 = 3(0) + 1
1 = 1 {true}
y = 3x + 1
9 = 3(2) + 1
9 = 7 {not true}
Since the second ordered pair does not make the equation true, this is not the correct answer.
Step 2 - Plug in the values for x and y given in option b. Determine if all values make the equation true.
y = 3x + 1
1 = 3(0) + 1
1 = 1 {true}
y = 3x + 1
7 = 3(2) + 1
7 = 7 {true}
y = 3x + 1
19 = 3(6) + 1
19 = 19 {true}
Since all of the ordered pairs given in Option b make the equation true, this is the correct answer. To double check, you can do the same process for option c to make sure it is not true.
Step 3 - (Optional step) Plug in the values for x and y given in option c. Determine if all values make the equation true.
y = 3x + 1
-1 = 3(0) + 1
-1 = 1 {not true}
Since the first ordered pair given does not make the equation true, this is not the correct answer.