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3 years ago

Using the equation 4x^3-6x^2-144x+8, find the function values f(-3) and f(-4) at the interval {-4,5}

Mathematics

1 answer:

Leto [7]3 years ago

7 0

Answer: f(-3) = 278, f(-4) = 232

Step-by-step explanation:

f(x) = 4x³ - 6x² - 144x + 8

f(-3) = 4(-3)³ - 6(-3)² - 144(-3) + 8

f(-3) = 4(-27) - 6(9) - 144(-3) + 8

f(-3) = 278

f(-4) = 4(-4)³ - 6(-4)² - 144(-4) + 8

f(-4) = 4(-64) - 6(16) - 144(-4) + 8

f(-4) = 232

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100 POINTS+BRAINLIEST 8TH GRADE MATH PT 2: Word problem involving algebraic equations on them-As usual please explain the steps

ikadub [295]

Answer:

$\sf a. \quad \dfrac{21}{10+x}+\dfrac{21}{10-x}=5$

Step-by-step explanation:

Formula for calculating speed:

$\boxed{\sf Speed=\dfrac{Distance}{Time}}$

Therefore:

$\boxed{\sf Time=\dfrac{Distance}{Speed}}$

Given values:

x = the current (in mph)
Speed = 10 mph
Distance = 21 miles
Total time = 5 hours

If the boat is traveling downstream, the current (x mph) will be pushing the boat faster, and so the boat's speed will increase by x mph.

Therefore, the expression for the time it takes for the boat to travel downstream is:

$\sf Time\:(downstream)=\dfrac{21}{10+x}$

If the boat is traveling upstream, the current (x mph) will be pushing against the boat and so the boat's speed will decrease by x mph.

Therefore, the expression for the time it takes for the boat to travel upstream is:

$\sf Time\:(upstream)=\dfrac{21}{10-x}$

Therefore, if the total time it takes to travel downstream and upstream is 5 hours:

$\implies \sf \dfrac{21}{10+x}+\dfrac{21}{10-x}=5$

To solve for x:

$\implies \sf \dfrac{21}{10+x}+\dfrac{21}{10-x}=5$

$\implies \sf \dfrac{21(10-x)}{(10+x)(10-x)}+\dfrac{21(10+x)}{(10-x)(10+x)}=5$

$\implies \sf \dfrac{21(10-x)+21(10+x)}{(10+x)(10-x)}=5$

$\implies \sf21(10-x)+21(10+x)=5(10+x)(10-x)$

$\implies \sf 210-21x+210+21x=5(100-10x+10x-x^2)$

$\implies \sf 420=500-5x^2$

$\implies \sf 5x^2=80$

$\implies \sf x^2=16$

$\implies \sf x=\pm4$

Therefore, the rate of the current is 4 mph.

8 0

2 years ago

Read 2 more answers

The length of a ribbon is 3/4 meter. Sun yi needs pieces measuring 1/3 meter for an art project. What is the greatest number of

omeli [17]

You need to DIVIDE the 3/4 meter into 1/3 meter pieces, so....
(3/4)÷(1/3) = (3/4) *(3/1) = (9/4) = 2.25
She can cut 2 (1/3) meter pieces.
To find what is left subtract (2/3) from the original (3/4).
(3/4)-(2/3)= (1/12) meter

5 0

3 years ago

3.2

Varvara68 [4.7K]

Answer:

35/132.

Step-by-step explanation:

There are a total of 12 balls. So:

Prob(First is green) = 5/12.

After the first selection there are 11 balls left.

Prob(The second is red) = 7/11.

The required probability = 5/12 * 7/11

= 35/132.

Note: the probabilities are multiplied because the 2 events are independent.

3 0

3 years ago

Sammy has a 10-foot ladder, which he needs to climb to reach the roof of his house. the roof is 12 feet above the ground.

Dvinal [7]

The roof is higher than the ladder can reach 10^2-1.5^2=h^2 h=sqrt(100-2.25)=9.89 feet distance to the roof= 12-9.89

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4 years ago

60 minutes is 20% of blank kilometers

Fantom [35]

60 minutes is 20% of 300 minutes

hope i helped

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3 years ago