Answer:
Step-by-step explanation:
We are given that
Function f decreases from quadrant 2 to quadrant 1 and approaches y=0
It cut the y- axis at (0,6) and passing through the point (1,2).
Function g(x) approaches y=0 in quadrant 2 and increases into quadrant 1.
It passing through the point (-1,2) and cut the y-axis at point (0,6).
Reflection across y- axis:
Rule of transformation is given by
Using the rule then we get
By using
Substitute x=-1
Substitute x=0
Therefore, is true.
1. 4^2 +x^2 = 6^2
16 + x^2 = 36
x^2 = 20, x = sqrt(20) = 4.47 miles
2. using the same equation as above: 20 inches
3. needs to be a right triangle so A
4. using distance formula answer is 7.07 units
5.volume cylinder: 62.82, volume sphere: 33.51, difference:=62.82 -33.51 = 29.31 cubic inches
Answer:
See explanation
Step-by-step explanation:
Dinosaur Discovery show = 8 friends
Wild Weather show = 4 friends
Cost of Dinosaur Discovery show = $d
Cost of Wild Weather show = $w
At regular price:
Total cost of his friends' tickets = 8 * d + 4 * w
= 8d + 4w
At half price
Total cost of his friends' tickets =
8 * 1/2d + 4 * 1/2w
= 8/2d + 4/2w
= 4d + 2w
Total cost of his friends' tickets = 4d + 2w
In order to find which <u>expression</u> is <u>equivalent</u> to ![\sqrt[4]{x^{10}},](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B10%7D%7D%2C)
<u>simplify</u> all given expressions:
0.
![\sqrt[4]{x^{10}}=x^{\frac{10}{4}}=x^{\frac{5}{2}}=x^{2.5}.](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B10%7D%7D%3Dx%5E%7B%5Cfrac%7B10%7D%7B4%7D%7D%3Dx%5E%7B%5Cfrac%7B5%7D%7B2%7D%7D%3Dx%5E%7B2.5%7D.)
1.
![x^2(\sqrt[4]{x^2})=x^2\cdot x^{\frac{2}{4}}=x^2\cdot x^{\frac{1}{2}}=x^2\cdot x^{0.5}=x^{2.5}.](https://tex.z-dn.net/?f=x%5E2%28%5Csqrt%5B4%5D%7Bx%5E2%7D%29%3Dx%5E2%5Ccdot%20x%5E%7B%5Cfrac%7B2%7D%7B4%7D%7D%3Dx%5E2%5Ccdot%20x%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%3Dx%5E2%5Ccdot%20x%5E%7B0.5%7D%3Dx%5E%7B2.5%7D.)
2.
3.
![x^3(\sqrt[4]{x} )=x^3\cdot x^{\frac{1}{4}}=x^3\cdot x^{0.25}=x^{3.25}.](https://tex.z-dn.net/?f=x%5E3%28%5Csqrt%5B4%5D%7Bx%7D%20%29%3Dx%5E3%5Ccdot%20x%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3Dx%5E3%5Ccdot%20x%5E%7B0.25%7D%3Dx%5E%7B3.25%7D.)
4.
Therefore,
Answer: correct choice is A
