Answer: 10+30=40 :)
Step-by-step explanation:
Answer:
f(x) = x² - 2x - 15
Step-by-step explanation:
∵ The function intersect x-axis at -3 and 5
∴ f(x) = 0 at x = -3 , 5
∵ The form of the quadratic equation is ⇒ ax² + -b/a x + c/a = 0
ax² - b/a x + c/a = 0
Where the sum of its roots is b/a and their multiplication is c/a
∵ a = 1
∵ -3 , 5 are the roots of the quadratic equation
∴ b = -3 + 5 = 2
∴ c = -3 × 5 = -15
∴ f(x) = x² - 2x - 15
Answer:
19.6 cubic centimeters
Step-by-step explanation:
The ratio of two similar 3D figures' volumes is equivalent to the ratio of their corresponding lengths (whether it's width, height, length, radius, etc) cubed.
Here, we know the cones are similar, and we know the smaller radius is 2 and the larger radius is 3. Then the ratio of the volume of the smaller one to the volume of the larger one is
.
We also know the actual volume of the larger cone is 66. So, if x is the volume of the smaller cone, we have the proportion:
x / 66 = 8 / 27
Cross-multiply:
27x = 66 * 8 = 528
Divide by 27:
x = 528/27 ≈ 19.6
The answer is thus 19.6 cubic centimeters.
<em>~ an aesthetics lover</em>
Each year 1 - 5% = 95% of the acreage survives.
A(10) = 4500*0.95^10 = 2694.32
Answer: 2694.32
Answer:
Option D that is y=-2(x+1) is the correct choice.
Explanation:
Given equation:
We have to find another equation which has only one solution.
Standard form of equation:


Condition for one solution.

We have to arrange other equation in the form of 
Mark all the options as a,b,c and d.




Now from the above options we can see that option
are not providing the desired result.
So
can be obtained from the last option.
As

Option D that is
is the equation from where we can obtained only one solution.