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2 years ago

Which of these objects has the largest diameter? • Sun • Cricket Bat • Tennis Ball • Moon

Mathematics

2 answers:

Fed [463]2 years ago

8 0

The moon does. The moon is waaaay bigger than any of these combined.

aleksandr82 [10.1K]2 years ago

8 0

Sun. The diameter of an object is a straight line passing from side to side through the center of a object. It is the sun because it has the largest diameter

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The polynomial function f(x)=-x^3+x^2+14x-24 has zeros at x=-4, x=3, and x=2. Which of the following graphs represents the funct

weqwewe [10]

Answer:

Assuming the choices are only of C and D, D would be the graph of the function.

Step-by-step explanation:

There are many things that would cause D to be the graph of f(x).

Firstly, D has the end behavior of a $-x^{3}$ function.

Secondly, it has correct zeroes

Lastly, Its y-intercept is -24, which is the case of the function f(x) as

$f(0) = -24$

6 0

1 year ago

James is four years younger than Austin. If three times James' age is increased by the square of Austin's age, the result is 28.

lara31 [8.8K]

Let's use J for James's age and A for Austin's age. The equations are:

J = A - 4
3J + A² = 28

Just plug (A - 4) in the place of J in the second equation. This gives you:

3(A - 4) + A² = 28
-->
A² + 3A - 12 = 28
-->
A² + 3A - 40 = 0
-->
(A - 5)(A + 8) = 0
-->
A = 5 or -8

-8 is nonsense, so Austin is 5 years old. Therefore, James is 1 year old.

7 0

1 year ago

Nolan used the following procedure to find an estimate for StartRoot 18 EndRoot.

stiks02 [169]

Answer:

Nolan correctly identified the square numbers before and after 18.

The square roots of them are 4 and 5.

Clearly, square root of 18 should lie between 4 and 5 only.

He, then carefully squared 4.1, 4.2, 4.3 etc. and identified that 4.3 squared is nearer to 18.

Since, Nolan is finding estimated square root, his steps are cool and he didn't make any error.

4 0

1 year ago

Read 2 more answers

you ride your bike to a store, 4 miles away, to pick up things for dinner. when there is no wind, you ride at 10 mi/h. today you

Tresset [83]

4 miles= (10-s) x 1hr. S could stand for the speed of the wind, since it is taking away from the typical speed of the bike.

3 0

1 year ago

Let f(x)=4x-1 and g(x)=2x^2+3. Perform each function operations and then find the domain.

Triss [41]

F(x) = 4x - 1
g(x) = 2x² + 3

1. (f + g)(x) = (4x - 1) + (2x² + 3)
(f + g)(x) = 2x² + 4x + (-1 + 3)
(f + g)(x) = 2x² + 4x + 2
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

2. (f - g)(x) = (4x + 1) - (2x² + 3)
  (f - g)(x) = 4x + 1 - 2x² - 3
(f - g)(x) = -2x² + 4x + 1 - 3
(f - g)(x) = -2x² + 4x - 2
Domain: {x|-∞ < x < ∞}, (-∞, ∞)
3. (g - f)(x) = (2x² + 3) - (4x - 1)
(g - f)(x) = 2x² + 3 - 4x + 1
(g - f)(x) = 2x² - 4x + 3 + 1
(g - f)(x) = 2x² - 4x + 4
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

4. (f · g)(x) = (4x + 1)(2x² + 3)
(f · g)(x) = 4x(2x² + 3) + 1(2x² + 3)
(f · g)(x) = 4x(2x²) + 4x(3) + 1(2x²) + 1(3)
(f · g)(x) = 8x³ + 12x + 2x² + 3
(f · g)(x) = 8x³ + 2x² + 12x + 3
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

5. $(\frac{f}{g})(x) = \frac{4x - 1}{2x^{2} + 3}$
Domain: 2x² + 3 ≠ 0
- 3 - 3
2x² ≠ 0
2 2
  x² ≠ 0
x ≠ 0
(-∞, 0) ∨ (0, ∞)

6. $(\frac{g}{f})(x) = \frac{2x^{2} + 3}{4x - 1}$
Domain: 4x - 1 ≠ 0
+ 1 + 1
4x ≠ 0
4   4
x ≠ 0
  (-∞, 0) ∨ (0, ∞)

6 0

2 years ago