The graph of f(x) = x^2 has only one x-intercept since its vertex is at the origin, (0,0) and it opens up. When comparing the graph of <span>g(x) = -x^2 -5 with the graph of f(x) = x^2, g(x) is the graph of f(x) first reflected in the x-axis and then translated 5 units down. The graph of g(x) has no x-intercepts since its a parabola that opens downward (result of reflection in x-axis) and its vertex at (0,-5) is situated below the x-axis.</span>
Answer:
r(14) = 29
Step-by-step explanation:
r(x) = 3/2x+8
r(14) = 3/2*14+8 = 21+8 = 29
Answer:
The envelop is 15.49 inches tall
Step-by-step explanation:
To find how tall the envelop is, we will follow the steps below;
We can use Pythagoras theorem formula to find the height of the envelop'
adjacent =width of the envelop= 11 inches opposite= height (h) of the evelope = h and hypotenuse = diagonal of the envelop= 19 inches
Using Pythagoras theorem;
opposite² + adjacent² = hypotenuse²
h² + 11² = 19²
h² + 121 = 361
subtract 121 from both-side of the equation
h² + 121-121 = 361-121
h² = 240
Take the square root of both-side
√h² =√ 240
h≈15.49 inches
The envelop is 15.49 inches tall
(a+b)² can also be written as (a+b) (a+b). When you expand this you get a²+2ab+b²
(a-b)² can also be written as (a-b) (a-b). When expanded this gives a²-2ab-b2
As you can see, this leads to different coefficients of the 'ab' values: for (a+B) ² its 2 for (a-b) ² its - 2
Answer:
u can solve ur self but let me help you
Step-by-step explanation:
simply:subtract 525ml from 512.6 liters