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3 years ago

Please help the last one says (5) 4,320,000

Mathematics

1 answer:

Nadya [2.5K]3 years ago

7 0

4.32 × 10⁴

Move the decimal point in <em>4.32</em> four places to the right.

4.32 --> 43.2 --> 432 --> 4320 --> 43200

The answer is 4) 43,200.

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Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.

Lina20 [59]

Answer:

Step-by-step explanation:

Given:

$f(x) = 4x^2 - 3$

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

$f(3) = 4(3)^2 - 3$

$f(3) = 4(9) - 3$

$f(3) = 36 - 3$

$f(3) = 33$

To find f(9), replace x with 9 in the given function

$f(9) = 4(9)^2 - 3$

$f(9) = 4(81) - 3$

$f(9) = 324 - 3$

$f(9) = 321$

Average rate of change = $\frac{f(b) - f(a)}{b - a}$

Where,

$a = 3, f(a) = 33$

$b = 9, f(b) = 321$

Plug in the values into the formula for average rate of change.

$= \frac{321 - 33}{9 - 3}$

$= \frac{288}{6}$

$= 44$

Average rate of change = 44

3 0

3 years ago

Segment CD has endpoints (-4, 3) and (8, -1). Find the coordinates of the point that divides the line segment directed from C to

Diano4ka-milaya [45]

Answer:

$A(0.8,\ 1.4)\ \text{or }\ A\left(\dfrac{4}{5},\dfrac{7}{5}\right)$

Step-by-step explanation:

If point $A(x,y)$ divides the segment with endpoints $C(x_1,y_1)$ and $D(x_2,y_2)$ in the ratio $m:n,$

then

$x=\dfrac{nx_1+mx_2}{m+n}\\ \\y=\dfrac{ny_1+my_2}{m+n}$

In your case,

$C(-4,3)\\ \\D(8,-1)\\ \\m:n=2:3$

then

$x=\dfrac{3\cdot (-4)+2\cdot 8}{2+3}=\dfrac{-12+16}{5}=\dfrac{4}{5}=0.8\\ \\y=\dfrac{3\cdot 3+2\cdot (-1)}{2+3}=\dfrac{9-2}{5}=\dfrac{7}{5}=1.4$

Thus,

$A(0.8,\ 1.4)\ \text{or }\ A\left(\dfrac{4}{5},\dfrac{7}{5}\right)$

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3 years ago

The height of a ball dropped from a 160 foot building after 1 seconds is represented by h(t) = 160 - 1612

nadya68 [22]

Answer:

C. 16 feet.

Step-by-step explanation:

<u>How to find the maximum height of a projectile</u>

if α = 90°, then the formula simplifies to: hmax = h + V₀² / (2 * g) and the time of flight is the longest.

if α = 45°, then the equation may be written as:

if α = 0°, then vertical velocity is equal to 0 (Vy = 0), and that's the case of horizontal projectile motion.

7 0

3 years ago

Ted is comparing the temperatures of three days in January. The temperatures on Monday and Tuesday were opposites. The temperatu

kompoz [17]

Answer:

Tuesday

Wednesday

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago