Answer:
• (6, -7)
• (-4, 13)
Explanation:
• Option One
2x + y = 5
2(6) + (-7) = 5
12 - 7 = 5
5 = 5 {true}
3y = 15 - 6x
3(-7) = 15 - 6(6)
-21 = 15 - 36
-21 = -21 {true}
• Option Two
2x + y = 5
2(2) + 1 = 5
4 + 1 = 5
5 = 5 {true}
3y = 15 - 6x
3(1) = 15 - 6(2)
3 = 15 - 12
3 = 13 {not true}
• Option Three
2x + y = 5
2(-2) + (-9) = 5
-4 - 9 = 5
-13 = 5 {not true}
3y = 15 - 6x
3(-9) = 15 - 6(-2)
-27 = 15 + 12
-27 = 27 {not true}
• Option Four
2x + y = 5
2(-4) + 13 = 5
-8 + 13 = 5
5 = 5 {true}
3y = 15 - 6x
3(13) = 15 - 6(-4)
39 = 15 + 24
39 = 39 {true}
Answer:
3/1/4
That's the expression represents Lena's speed in miles per hour
Answer: -1/5
Step-by-step explanation:
14/20 - 81/90=
7/10-9/10= ==> 10 is the GCF of 20 and 90
(7-9)/10=
-2/10=-1/5
Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k
f(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4
Answer:
The answer is: -0.5198
Step-by-step explanation:
CUBERT(8) – CUBERT(16) is the cube root of 8 - cube root of 16:
CubeRT(8) - CubeRT(16) =
2 - 2.5198 = -0.5198
Hope this helps! Have an Awesome day!! :-)
