Divide 1540 by 7.<br><br> Please show working

Consider the function f(x) = 20/√x and its second-degree polynomial P2 (x) = 20 - 10(x-1) + 7.5(x-1)^2 at x=0.8. Compute the val

krok68 [10]

Answer:

$f (0.8) = 22.3607$ and $P_{2} (0.8) = 22.300$ .

Step-by-step explanation:

According to the statement, $f (x) = \frac{20}{\sqrt{x}}$ and $P_{2}(x) = 20 - 10 (x-1) + 7.5 (x-1) ^ 2$ . Based on these definitions, at $x=0.8$ produce:

$f (0.8) = \frac{20}{\sqrt {0.8}} = 22.3607$ . On the other hand, you have to:

$P_{2} (0.8) = 20 - 10 (0.8 -1) +7.5 (0.8 -1)^2$

$P_{2} (0.8) = 20 - 10 (-0.2) +7.5 (-0.2)^2 = 22.300$

Then, it can be affirmed that $f (0.8) = 22.3607$ and $P_{2} (0.8) = 22.300$ .

3 0

4 years ago

Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and

Veseljchak [2.6K]

Degree = 4

Maximum possible number of terms for = 5

Solution:

Given expression:

$\left(x^{2}+x+2\right)\left(x^{2}-2 x+3\right)$

To multiply the trinomial by a trinomial:

$\left(x^{2}+x+2\right)\left(x^{2}-2 x+3\right)$

Multiply each of the first term by the each of the second term.

$=x^{2}(x^{2}-2 x+3)+x(x^{2}-2 x+3)+2(x^{2}-2 x+3)$

$=(x^{4}-2 x^3+3x^2)+(x^{3}-2 x^2+3x)+(2x^{2}-4 x+6)$

Remove the brackets and arrange the terms with same powers together.

$=x^{4}-2 x^3+x^{3}+3x^2-2 x^2+2x^{2}+3x-4 x+6$

$=x^{4}- x^3+3x^2- x+6$

The product of the trinomials is $x^{4}- x^3+3x^2- x+6$ .

Degree is the highest power of the variable.

Degree = 4

Maximum possible number of terms for = 5

3 0

3 years ago

Read 2 more answers

At 5 p.m., the total snowfall is 2 centimeters. at 10 p.m., the total snowfall is 10 centimeters. what is the mean hourly snowfa

TEA [102]

Answer:

The mean hourly snowfall is 2.5 centimeters

Step-by-step explanation:

The mean hourly snowfall is the number of centimeters that fell during the period divided by the number of hours.

From 5 P.M. to 9 P.M., there are 4 hours

At 5 P.M., the total snowfall is 2 centimeters.

At 9 P.M., the total snowfall is 12 centimeters.

So in those four hours, the depth of snow increases 12-2 = 10 centimeters

10/4 = 2.5

The mean hourly snowfall is 2.5 centimeters

7 0

2 years ago

Solve -6 < 10 - 4x greater equal 18 SHOW WORK AND STEPS CLEARLY PLS I AM GIVEING BRAINLIEST

Zepler [3.9K]

Answer:

x<=-2

Step-by-step explanation:

-6<10-4x>=18

subtract 10

-16<-4x>=18

Divide by -4

x<=-2

Hope this helps

-Scorpio

7 0

3 years ago

Write the function to represent the total numbers or words , y, that mrs. Garcia can type in x minutes.

FrozenT [24]

Answer:

Part a) $y=70x$

Part b) $3,430\ words$

Step-by-step explanation:

Let

x------> the time in minutes

y-----> the total numbers of words

step 1

we have

$A(1,70), B(2,140)$ -----> given table

<u>Find the slope of the linear equation</u>

$m=(140-70/(2-1)=70\ words/minute$

with the slope m and the point A find the equation of the line

The equation of the line in point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-70=70(x-1)$

$y=70x-70+70$

$y=70x$ ----> This is a linear direct variation

Part b) For $x=49\ min$

substitute the value of x in the linear equation to find the value of y

$y=70(49)=3,430\ words$

7 0

3 years ago

Divide 1540 by 7. Please show working