Write 146,000 in scientific notation.

A rancher has a roll of fencing to enclose a rectangular area. The table shows how the area that the rancher can enclose with th

Free_Kalibri [48]

Checking for each option

Option A: $A(w) = -w^2+200w$

Substitute w = 10 and check if we'd get 900 as the answer
$A(10) = -(10)^2+200(10) = -100+2000 = 1900$

Option B: $A(w) = -w^2+100w$
Substitute w = 10 and check if we'd get 900 as the answer
$A(10)=-(10)^2+100(10)=-100+1000=900$

Option C: $A(w)=w^2+40w$
Substitute w = 10 and check if we'd get 900 as the answer
$A(10) = 10^2+40(10)=100+400=500$

Option D: $A(w) = w^2+90w$
Substitue w = 10 and check if we'd get 900 as the answer
$A(10)=10^2+90(10) = 100+900=1000$

Answer: Option B

8 0

3 years ago

Read 2 more answers

Show all work to factor x^4 − 17x^2 + 16 completely.

Dmitrij [34]

Answer:

$x^{4}-17x^{2} +16$ = (x -1)(x + 1)(x - 4)(x + 4)

Step-by-step explanation:

At first, let us find the first two factors of $x^{4}-17x^{2} +16$

∵ The sign of the last term is positive

∴ The middle signs of the two factors are the same

∵ The sign of the middle term is negative

∴ The middle signs of the two factors are negative

∵ $x^{4}$ = x² × x² ⇒ first terms of the two factors

∵ 16 = -1 × -16 ⇒ second terms of the two factors

∵ x²(-1) + x²(-16) = -x² + -16x² = -17x² ⇒ the value of the middle term

∴ (x² - 1) and (x² - 16) are the factors of $x^{4}-17x^{2} +16$

Now let us factorize each factor

→ The factors of the binomial a² - b² (difference of two squares) are

(a - b) and (a + b)

∵ x² - 1 is the difference of two squares

∴ Its factors are (x - 1) and (x + 1)

∵ x² - 16 is the difference of two squares

∴ Its factors are (x - 4) and (x + 4)

∵ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of (x² - 1) and (x² - 16)

∵ (x² - 1) and (x² - 16) are the factors of $x^{4}-17x^{2} +16$

∴ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of $x^{4}-17x^{2} +16$

∴ $x^{4}-17x^{2} +16$ = (x -1)(x + 1)(x - 4)(x + 4)

8 0

2 years ago

Enter a range of values for x.<br> 85°<br> 25<br> 5x - 10<br> [ ? ] Enter

Nataly_w [17]

<h3>Answer: 2 < x < 7</h3>

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Explanation:

We'll use the hinge theorem here. This says (more or less) that the larger an angle is, the side opposite of that will be longer.

Imagine that the segments with the single tickmarks represent a door swinging open/shut. The more open a door is, the further the distance it is from the handle to the frame. In terms of these triangles, the segment 25 is larger than 5x-10 because the angle 90 (opposite the 25) is larger than the angle 85 degrees (opposite the 5x-10)

In symbols we say

5x - 10 < 25

We also say 5x - 10 > 0 or 0 < 5x - 10 to ensure that the segment of length 5x-10 is not 0 or negative.

Put the two inequalities together and we get 0 < 5x - 10 < 25

------------

Solve for x

0 < 5x - 10 < 25

0+10 < 5x - 10 < 25 + 10 .... adding 10 to all sides

10 < 5x < 35

10/5 < 5x/5 < 35/5 ... dividing all sides by 5

2 < x < 7

We have x between 2 and 7, and not equal to either endpoint.

3 0

3 years ago

Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be used to find c, her cousin's age?

Mila [183]

Answer:

7 years

Step-by-step explanation:

Suri's age=17 years

Her cousin's age =c

Suri's age is 4 less than 3 times her cousin's age

4 less than 3 times her cousin's age means subtract 4 from 3 times her cousin's age

17=3c - 4

Find c which is her cousin's age

Add 4 to both sides

17+4=3c - 4 + 4

17+4=3c

21=3c

Divide both sides by 3

21/3=3c/3

7=c

Therefore,

C= 7

Her cousin's age = 7 years

4 0

2 years ago

Name a number that is an integer, but not whole number.

tekilochka [14]

Answer:

-1

Step-by-step explanation:

All negative integers are not whole numbers

4 0

2 years ago