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3 years ago

How do you find the answer for f(5) when f(x)= -3x^4+7x^2-2

1 answer:

8 0

You find f(5) the same way you evaluate any function. Put the number where the variable is and do the arithmetic.

When high powers are involved, it can simplify the arithmetic a little to do some factoring:
.. f(x) = (-3x^2 +7)*x^2 -2
.. f(5) = (-3*25 +7)*25 -2 = -68*25 -2
.. f(5) = -1702

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How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen

fenix001 [56]

Answer:

120

Step-by-step explanation:

Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

k = 3

Now we can use the permutation formula:

$_{n}P_{k}=\dfrac{n!}{(n-k)!}$

$_{6}P_{3}=\dfrac{6!}{6-3)!}$

$_{6}P_{3}=\dfrac{6!}{3!}$

$_{6}P_{3}=\dfrac{6*5*4*3*2*1}{3*2*1}$

The 3*2*1 cancels out and leaves us with:

$_{6}P_{3}=6*5*4$

$_{6}P_{3}=120$

So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.

6 0

3 years ago

Read 2 more answers

Which expression can be used to solve 3/5 divide by 7/10

kramer

Answer:

$\frac{3}{5} *\frac{10}{7}$

= $\frac{30}{35} =\frac{6}{7}$

7 0

3 years ago

Figure A is a scale image of Figure B.<br><br> What is the value of x?<br> PS. it's not 17

Oksanka [162]

Step-by-step explanation:

24÷(45÷25)= 21

x=21

Hope this helped!

4 0

2 years ago

Read 2 more answers

1/4(1/3k+9)=6 step 1- 1/3k=15 step 2- 1/3k=15 step 3- k=5 find Olgas mistake step 1 step 2 steps 3 Olga did not make a mistake

shtirl [24]

Answer:

Step 3 contains error.

Step-by-step explanation:

The given equation is :

$\dfrac{1}{4}(\dfrac{1}{3}k+9)=6$

Step 1.

Cross multiplying,

$(\dfrac{1}{3}k+9)=24$

Step 2.

Subtract 9 from both sides

$\dfrac{1}{3}k+9-9=24-9\\\\\dfrac{1}{3}k=15$

Step 3.

Cross multiplying

$k=15\times 3\\\\k=45$

So, there is an error in step 3. The correct answer should be 45.

3 0

2 years ago

Help please asap!!!!

strojnjashka [21]

Answer:

$g(x)=0.5x^2+x+4$

Solution: x=-2

Step-by-step explanation:

Consider the equation $-x^3-4=0.5x^2+x+4.$ Plot the graphs of left and right side functions $f(x)=-x^3-4$ and $g(x)=0.5x^2+x+4$ as shown in the diagram. The solution of the equation is the x-coordinate of the point of intersection between those two graphs. As you can see these graphs intersect at point (-2,4), thus, the solution of the equation is x=-2.

8 0

2 years ago

Read 2 more answers