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Triss [41]
2 years ago
10

Draw the graphs of the lines below on the same grid to find the coordinates of the point of

Mathematics
1 answer:
Amanda [17]2 years ago
3 0

Answer:

(2,2) is the solution of the given lines.

Step-by-step explanation:

Given that,

y = x ..(1)

y = 3x-4 ...(2)

We need to find the coordinates of the point of intersection.

From equation (1) and (2).

x=3x-4

4 = 3x-x

4 = 2x

x = 2

Also,

y = 2

<h3>Hence, the coordinates of the point of  intersection is (2,2).</h3>

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HELP PLS I NEED THIS RIGHT NOW
Ne4ueva [31]

Answer:

period = 2

Step-by-step explanation:

The period is the measure of 1 complete cycle of the wave

The wave enters at x = 0 , y = - 0.5

After 1 cycle the wave is at x = 2, y = - 0.5

period = 2 - 0 = 2

6 0
3 years ago
A 28 feet support beam is cut into two pieces so that one is six times the length of the other. How long is the longest piece
ExtremeBDS [4]

The longest piece is 24 ft and the smallest piece is 4 ft

8 0
2 years ago
Read 2 more answers
Find the inverse of f(x)=−3/2x+7/2.
timama [110]

Answer: f^{-1}(x)=-\frac{2}{3}x+\frac{7}{3}

Step-by-step explanation:

To find the inverse of a function, you want to replace x with y and y with x. Then, you solve for y.

y=-\frac{3}{2}x+\frac{7}{2}                       [replace y with x and x with y]

x=-\frac{3}{2}y+\frac{7}{2}                       [subtract both sides by 7/2]

x-\frac{7}{2} =-\frac{3}{2}y                       [multiply both sides by -2/3]

-\frac{2}{3} (x-\frac{7}{2} )=y                     [distribute]

y=-\frac{2}{3}x+\frac{7}{3}

Now, we have our inverse function.

f^-^1(x)=-\frac{2}{3}x+\frac{7}{3}

7 0
3 years ago
Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 70 miles per
forsale [732]

Step-by-step explanation:

[70,30] = 210 miles per hour

5 0
3 years ago
Can someone please help me with 21-24 and explain/ show how you got the answer?
oksano4ka [1.4K]
The solution (x,y) needs to work in both equations. With multiple choice you can do guess and test method. Otherwise you need to combine the two equations into one by substitution or elimination methods.

21. substitution works well here since one equation is y= x+3. you can easily substitute the (x+3) for y in the other equation.
2x + (x+3) = -6
3x + 3 = -6
3x = -9
x = -3
use this in either equation to find y.
y = (-3)+3
solution: (-3,0)

22. these both equal y so they equal each other.
4x - 1 = 3x +6
4x - 3x = 6 + 1
x = 7
use this in either equation to find y
y = 4(7) - 1
y = 28 - 1
y = 27
solution: (7,27)

23. one equation is y = 2x - 3. So substitute (2x -3) for y in the other equation.
4x = 2(2x - 3) + 6
4x = 4x - 6 + 6
4x = 4x
x = x
any solution will work, infinitely many.

24. infinitely many solutions means the two equations are the same equation. Like the previous one they didn't look the same but if you put them both in terms of y...
y= 2x-3
4x = 2y + 6
4x - 6 = 2y
(4x - 6)/2 = y
2x - 3 = y
same equation.

from the image, I can't see all options but A & C do not look like the same equations. It's got to be either B or D.

3 0
3 years ago
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