Answer:
The table in the exercise can be completed with the next results:
- x y
-
2 <u>9</u>
-
4 <u>11</u>
-
6 <u>13</u>
-
8 <u>15</u>
Step-by-step explanation:
As in the exercise Janice is 7 years older than Tam, to obtain the result in the table, you must add 7 to each age in the column x, with this we can make the next formula:
Remember that x is Tam's age, and y is Janice's age, so, you must replace the x variable in each case to obtain the result to y:
When x is 2:
When x is 4:
When x is 6:
When x is 8:
At last, <u>to obtain the graph you can use the formula made: y = x + 7</u>, and you'll obtain a graph like the attached picture, <em>where each time x obtain a unit, the y variable obtain a unit too maintaining the diference of 7</em>.
Answer:
She will deposit $17.
Step-by-step explanation:
So this is really simple.
20% of $85= 0.20•85= 17=$17
Answer:
x=17
Step-by-step explanation:
(5x-58)=(2x-7) ->(because of cosine-rule)
3x=51
x=17
plane 1 travels 395 miles in 1 hour
plane 2 travels 422 miles in 1 hour
together, they travel (395+422) 817 miles in 1 hour
to have 2451 miles between then, they'd need to travel
so in 3 hours, they'll be 2451 miles apart
You want to eliminate one of the terms (x or y) in one of the equations so you can solve for the other variable. You have to multiply by the opposite number of the coefficient to be able to eliminate the term in the other equation. If the x coefficient is 2, then you have to multiply the entire other equation by -2. If the y coefficient is -5, then you have to multiply the entire other equation by 5.
10)
-4x + 9y= 9
x - 3y= -6
STEP 1:
multiply the bottom equation by 4
4(x- 3y)= 4(-6)
4x - 12y= -24
STEP 2:
add the top equation and the equation from step 2
-4x + 9y= 9
4x - 12y= -24
the x term cancels out
-3y= 15
divide both sides by -3
y= -5
STEP 2:
substitute the y value in either original equation to solve for x
x - 3y= -6
x - 3(-5)= -6
x + 15= -6
subtract 15 from both sides
x= -21
ANSWER: x= -21; y= -5
____________________
12)
-7x + y= -19
-2x + 3y= -19
STEP 1:
multiply the top equation by -3 to eliminate the y term and to solve for x
-3(-7x + y)= -3(-19)
21x - 3y= 57
STEP 2:
add the bottom equation and the equation from step 2 to solve for x
-2x + 3y= -19
21x - 3y= 57
the y term cancels out
19x= 38
divide both sides by 19
x= 2
STEP 3:
substitute the x value in step 2 to solve for y; you can use either original equation
-7x + y= -19
-7(2) + y= -19
-14 + y= -19
add 14 to both sides
y= -5
ANSWER: x= 2; y=-5
Hope this helps! :)
