Answer:
8.4 dollars
Step-by-step explanation:
The error is in the resolution of the proportion. In fact, the initial proportion is correct:

where x is the total cost. However, the following step of the resolution is wrong. In fact, the correct resolution is the following:
- Multiplying by x on both sides:

- Multiplying by 3.5 no both sides:

And now we can find x:

So, the total cost is 8.4 dollars.
Hello ,
We know that a sum of six is only possible when the outcome is (6,6).
Also, Sample space = 36
Hence, Probability of getting sum as 12 is 1/36
Hope it helps
Answer:
A) (-8, -16)
B) (0, 48)
C) (-4, 0), (-12, 0)
Step-by-step explanation:
A) the vertex is the minimum y value.
extremes of a function we get by using the first derivation and solving it for y' = 0.
y = x² + 16x + 48
y' = 2x + 16 = 0
2x = -16
x = -8
so, the vertex is at x=-8.
the y value is (-8)² + 16(-8) + 48 = 64 - 128 + 48 = -16
B) is totally simple. it is f(0) or x=0. so, y is 48.
C) is the solution of the equation for y = 0.
the solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case here
a=1
b=16
c=48
x = (-16 ± sqrt(16² - 4×48)) / 2 = (-16 ± sqrt(256-192)) / 2 =
= (-16 ± sqrt(64)) / 2 = (-16 ± 8) / 2 = (-8 ± 4)
x1 = -8 + 4 = -4
x2 = -8 - 4 = -12
so the x- intercepts are (-4, 0), (-12, 0)
Answer:
22/7 is not pi
Step-by-step explanation:
22/7 is just a close approximation for pi, not pi itself.
If you put 22/7 into a calculator, you get:
3.142857...
While the number pi itself is:
3.1415926...
You can notice that pi is actually different than 22/7, even though the two numbers start out the same and are close to each other. Frequently in geometry, you use 22/7 as pi because it's so close and makes calculation easier.
Hope this helps!
Answer:
c = 20 inches
Step-by-step explanation:
To find the sides of a right triangle, you use the Pythagorean Theorem.
a² + b² = c²
You know a and b, and you need to find c, the hypotenuse.
Plug in a and b.
(12)² + (16)² = c²
Simplify by solving the exponents.
144 + 256 = c²
Combine the constants.
400 = c²
Take the square root of both sides.
√400 = √c²
Solve the √
±20 = c
The length cannot be negative, so you can eliminate that as an option.
So, c = 20