Answer:
x>-1
Step-by-step explanation:
solve this normally like a linear equation
3x + 1 >x-1
collect like terms
3x-x>-1-1
2x>-2
x>-2/2
x>-1
We know, Length of Image = Length of Object * Dilation factor,
Just substitute your known values,
Length of Image = 9 * 2 = 18
In short, Your Answer would be 18 cm
Hope this helps!
Answer:
y = - 8x² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, 6), thus
y = a(x - 0)² + 6, that is
y = ax² + 6
To find a substitute (- 1, - 2) into the equation
- 2 = a(- 1)² + 6, that is
- 2 = a + 6 ( subtract 6 from both sides )
- 8 = a
y = - 8x² + 6
Answer:
a) yes
b) 2560
Step-by-step explanation:
An exponential function has a common ratio between points uniformly spaced. Here, the data points are 10 years apart.
The ratio of the first two values is 4000/5000 = 0.8.
The ratio of the next two values is 3200/4000 = 0.8.
These ratios are the same, so the data is consistent with an exponential function.
The common ratio can be used to predict the next value. The next value is predicted to be ...
3200 × 0.8 = 2560
Step-by-step explanation:
=== [ -3(x-10)/4] + 2 = 11
==> [( -3x + 30 + 8)/4 = 11
==> -3x = 44 - 38
==> -3x = 6
==> -x = 6/3
==> x = -2
