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Colt1911 [192]
3 years ago
10

Help again last question

Mathematics
1 answer:
kompoz [17]3 years ago
4 0

Answer:

5 cubes. 5 cubes. 4 cubes 5 cubes

Step-by-step explanation:

is easy and no hard

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Estimate the time it would take you to drive 361 miles at 42 miles per hour. Round to the nearest hour.
polet [3.4K]

Answer:

It would take you 9 hours

Step-by-step explanation:

Speed (s) = Distance (d) / Time (t)

given that; Speed = 42 miles/hour

                 Distance = 361 miles

42 miles/hour = 361 miles / Time (t)

Time (t) * 42 miles/hour = 361 miles

Time (t) = 361 miles / 42 miles/hour

Time (t) = 8.59 hours

             ≈ 9 hours (to the nearest hour)

8 0
3 years ago
Use the Factor Theorem and synthetic division to show x + 5 is a factor of f(x) = 2x3 + 7x2 − 14x + 5
olga2289 [7]

Answer:

Factor theorem: f(-5) = 0.

Synthetic division: f(x) = (x + 5)\, (2\, x^2 -3\, x + 1).

Step-by-step explanation:

<h3>Factor Theorem</h3>

By the factor theorem, a monomial of the form (x - a) (where a is a constant) is a factor of polynomial f(x) if and only if f(a) = 0.

In this question, the monomial is (x + 5), which is equivalently (x - (-5)). a = -5.

\begin{aligned}& f(-5) \\ &= 2 \times (-5)^{3} + 7 \times (-5)^{2}- 14\times (-5) + 5\\ &= -250 + 175 + 70 + 5 \\ &= 0\end{aligned}.

Hence, by the factor theorem,  (x + 5), which is equivalent to (x - (-5)), is a factor of f(x).

<h3>Synthetic Division</h3>

\begin{aligned}& f(x) \\ &= 2\, x^{3} + 7\, x^{2} - 14\, x + 5 \\ &= \underbrace{(x + 5) \, (2\, x^2)}_{2\, x^{3} + 10\, x^{2}} - 3\, x^{2} - 14\, x + 5 \\ &= \underbrace{(x + 5) \, (2\, x^2)}_{2\, x^{3} + 10\, x^{2}} + \underbrace{(x + 5)\, (-3\, x)}_{-3\, x^{2} - 15\, x} + (x + 5) \\ &= (x + 5)\, (2\, x^{2} - 3\, x + 1)\end{aligned}.

The remainder is 0 when dividing f(x) by (x + 5). Hence, (x + 5)\! is a factor of f(x)\!.

6 0
3 years ago
Blaine's company made $ 6 × 103 last year. William's company made 1.2 × 105 times Blaine's company. How much money did William's
Diano4ka-milaya [45]
Blaine's Company: 103 x 6 = 618
William's Company: 1.2 x 105 = 126 
Since William's Company made 126 x Blaine's company's 
126 x 618 = 77868.00
(I am not sure if I did this right I tried though) 
7 0
3 years ago
Hello I really need help be genuine I don’t want any links ! I really need help I will make brainliest :(
Radda [10]

Answer:

28 of the student do not snowboard

Step-by-step explanation:

3 0
3 years ago
Solve the following equation. Determine if the equation is an "identity" or a "contradiction."
Eva8 [605]
-4t + 1 = 3t + 1 -7t\\&#10;-4t+1=-4t+1

It's identity.
4 0
4 years ago
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