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madreJ [45]
3 years ago
8

I will give extra points please help

Mathematics
2 answers:
Tpy6a [65]3 years ago
5 0

Answer:

=

You is welcome

trasher [3.6K]3 years ago
5 0

Answer:

less than or equal

Step-by-step explanation:

I can put the actual inequality sign but the inequality is less than or equal to... if the sentence say no more than, then it would have to be less than or equal to.

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Factor completely h^3+2h^2-9h-18
guapka [62]

Step 1: Group this into two groups:

    h^3 + 2h^2-9h-18=(h^3 + 2h^2)+(-9h-18)

When you  do that, be sure to group the "–" into the group with the 9 and make sure there's "+" between the groups.

Step 2: Factor out the GCF from both individual groups:

    (h^3 + 2h^2)+(-9h-18) = h^2 (h+2) -9(h+2)

Step 3: Notice both groups have that (h+2)?  That's a new GCF between the two groups, so factor that out:

    h^2 (h+2) -9(h+2) = (h+2)(h^2-9)

Step 4: That (h^2-9) piece can be factored further, since it's a difference of squares:

    (h+2)(h^2-9) = (h+2)(h+3)(h-3)

Now it's factored.

8 0
3 years ago
Find the absolute maximum and minimum values of f(x,y)=xy−4x in the region bounded by the x-axis and the parabola y=16−x2.
skad [1K]

Answer:

The absolute maximum and minimum is 20\; \text{and} -20.

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

f_x=y-4=0

f_y=x=0

The only solution to this system of equations is the point (0, 4), which lies in the domain.

f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1

\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1

\therefore (0,4) is a saddle point.

Boundary points -  (4,0),  (-4,0), (0,16)

Along boundary  y=16-x^2

   f=x(16-x^2)-4x

=16x-x^3-4x

\Rightarrow f^'=16-3x^2-4=0

\Rightarrow 3x^2=12

\Rightarrow x=\pm2,\;\;y=14

Values of f(x) at these points.

\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}

Therefore, the absolute maximum and minimum is 20\; \text{and} -20.

6 0
3 years ago
The table represents a linear function.
Iteru [2.4K]

What are the x values of the table?

3 0
3 years ago
The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa
Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

A=P(1+\frac{r}{n})^{nt}

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

98,000=P(1+\frac{0.041}{12})^{(12)(35)}

98,000=P(1+0.003416)^{(420)}

98,000=P(1.003416)^{(420)}

98,000 = P(4.189386)

= 4.189386P = 98,000

P = \frac{98000}{4.189386}

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0
4 years ago
Read 2 more answers
Question text<br><br>If x − 2 = 1/3, then what is the value of x to the power of 2 − 4x + 4?
TiliK225 [7]

Answer: 1/9

Step-by-step explanation:

6 0
4 years ago
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