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dybincka [34]
3 years ago
7

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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In a group of dogs and their owners, there are exactly 20 heads and 64 legs. How many dogs are in the group
Juliette [100K]

Answer:

If we assume that everyone in the group is an owner, we would have

20*2=40 legs.

64-40=24 legs

Therefore, we need 24 more legs.

These 24 additional legs can be made from the difference of legs between the owners and dogs.

In this case, dogs have 4-2=2 more legs than an owner.

24 ÷ 2 = 12.

There are 12 dogs in the group.

8 0
3 years ago
3/4a=24<br> A.18<br> B.4<br> C.32<br> D.6
zavuch27 [327]
3\4a=24 multiply both sides by 4 to get rid of 4(4 x 24=96)
3a=96 divide both sides by 3 to remain with a
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8 0
3 years ago
Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite
Delvig [45]

Answer:

  1. <em>0.75</em><em> liters of 5% hydrochloric acid solution </em>
  2. <em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

x+y=1

i.e x=1-y --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

0.05x+0.45y=1\times 0.15

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Putting value of x from equation 1 in equation 2,

\Rightarrow 5(1-y)+45y=15

\Rightarrow 5-5y+45y=15

\Rightarrow 5+40y=15

\Rightarrow 40y=15-5=10

\Rightarrow y=0.25

Putting the value of y in equation 1,

x=1-0.25=0.75

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters  of 45% hydrochloric acid solution.

4 0
3 years ago
Algebra 3, in the excercise size the graphs to determine the functions domain and range, x and y intercepts if any, and the func
fredd [130]

Answer:

Read Explanation

Step-by-step explanation:

The domain is a list of all possible x-values, this graph starts at 0 and proceeds to positive infinity, making the domain:

[0,∞)

The range is a list of all possible y-values, this graph starts at -1 and proceeds to positive infinity, making the range:

[-1,∞)

x-intercepts Are where the line crosses the x-axis, in this graph the line only crosses the x-axis at x of 2. Making its only x-intercept 2.

y-intercepts Are where the line crosses the y-axis, in this graph the line only crosses the y-axis at y of -1. Therefore its y-intercept is -1.

In function notation when a question asks for f(x) its asking for the y values at the given x-values. At x of 3 the y value equals 1.

7 0
1 year ago
Write a fraction pair of fractions with a common denominator: 1/3 and 3/4
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