Answer:
For the first question 
and
For the second question 
Step-by-step explanation:
Given:
1.
x - 3y = 7
3x + 3y = 9
2.
8x+ 3y = 1
4x + 2y = 0
Elimination method :
In the elimination method we need to make the coefficient of x or the coefficient of y same in both the equation so by adding or subtracting we can eliminate the x term or the y term.
Then substitute that values which you will get on eliminating in any equation you will get the corresponding value.
For the first question, the y coefficient is same hence by adding both the equation we can eliminate 3y term. so on solving we get
Now substitute X equal to 4 in equation x -3y = 7 we get
This way we have x is equal to 4 and y is equal to -1 for question number 1.
For the second question, we will make X coefficient same in the second equation that is multiplying by 2 to the equation 4x + 2y = 0 then we get
Now the coefficient of x term become same now we will subtract the two equations that is 8x + 3y = 1 and 8x + 4y =0 we get
Now substitute y equal to -1 in equation 8x +3y = 1 we get
This way we have x is equal to 0.5 and y is equal to -1 for question number 2.
Answer:
Step-by-step explanation:
No. Of miles Yelina plan to run =5.6 miles
No. Of miles Yelina ran today = 3.1 miles
So we have to minus both the no.
=2.5 miles
Thus 2.5 miles left for her to run today
Answer:
The restaurant Manager can afford 6 employees for the day.
Step-by-step explanation:
Manager can spend at most of $400.
Total Money ≤ $400
Cost to operate bank = $100
Cost for each employee = $50
Let number of employees for the day be
Hence the equation will become;
Solving this equation we get;
Hence, The restaurant Manager can afford 6 employees for the day.
Answer:
33 total flowers are in the bouquet Mr Rodriguez bough
Step-by-step explanation:
So for every 4 roses there are 7 carnations meaning the ratio is 4:7
4 times x = 12
x=3
So we do the same for carnations
7 x 3 = 21
Now we add to find the total
21+12=33
33 total flowers
Answer:
- maximum height: 498 ft
- distance from point of release: 70 ft
Step-by-step explanation:
A graphing calculator can show the answers to these questions.
___
For quadratic ax²+bx+c, the x-value of the vertex is ...
x = -b/(2a)
For the given expression, the vertex is ...
x = -14/(2(-0.1)) = 70
The distance from the point of release to the point of maximum height is 70 feet.
__
The height of the ball at that point is ...
f(70) = (-0.1·70 +14)70 +8 = 7·70 +8 = 498 . . . . feet
The maximum height is 498 feet.
