Evaluate the expression (a^2 b^0 c^-4) if a=6, b=-2, and c=3

Answer:

21

Step-by-step explanation:

Answer:

13+34=47

Step-by-step explanation:

Let us call the number x

13+x=47

so we can assume

47-13=x

47=13=34

13+34=47

(a) (-∞, -8) U (-4, 0) U (5, 9)

To find the intervals of decreasing, you just pay attention to where the graph is angled downward, when looking at it from left to right.

I usually do this by drawing lines on the x value where there is a local max/min and looking to see what the values are at that line.

You then make an ordered pair out of the two numbers.

This is the same process for finding both the increasing and decreasing intervals.

(b) -4, 5

A common mistake for this problem could be that you put the maximum and minimum x values in for this function, but the problem is only asking for the maximums.

If you look at the graph and find the point, the x-values  are what you will use for this problem.

(c) +

For these kinds of problems, I draw an imaginary vertical line through the middle of the function.

These positives/negatives belong to the leading coefficient of f.

(d) 6

The degree of f relies on the number of times the function touches the x-axis.

Multiplicity: the number of times any given x-intercept appears in the equation

Adding up the multiplicities of all of the x-intercepts gives you the degree of the function.

In this problem, there are x-intercepts that simply pass through the x-axis at -9, -6, 8, and 10, and an x-intercept that bounces off of the x-axis at 0, which makes it a function of degree 6.

(a) The function f is decreasing over the intervals (-∞, -8), (-4, 0), and (5, 7)

(b) The function f has local maximum at x = -4, and x = 5

(c) The sign of the leading coefficient is (positive) +

(d)  The possibility for the degree of the polynomial is 6

The reasons for the above selected values are as follows:

(a) A function is decreasing over an interval where the values of the function decreases simultaneously as the input value increases

From the graph, in the region for the input x-values of -∞ to -8, we have;

The output y-value decreasing from infinity to -3

Therefore, the function decreases over the interval (-∞, -8)

Similarly, between the points (-4, 2), and (0, 0), we have:

The input x-values is increasing from x = -4 to x = 0

The output y-values is decreasing from y = 2 to y = 0

Therefore, the function is decreasing over the x-interval (-4, 0)

The output y-values of the function also decreases as the input values increase between the points (5, 4) and (7, -2), which is the interval (5, 7)

Therefore, the function decreases over the interval (5, 7)

The intervals over which the function decreases are;

(-∞, -8), (-4, 0), and (5, 7)

(b) A local maxima is a point that has a larger y-value, compared to other surrounding points

The point x is a local maximum if f(x) ≥ f(z) for all z in (a, b), where a < x < b

In the interval (-8, 0), f(-4) =2 > f(-8) = -3, and  f(-4) = 2 > f(0) = 0

Therefore, the point (x, f(x)) = (-4, 2) is a local maximum point

Similarly, in the interval, (0, 9), we have; f(0) = 0 < f(5) = 4 > f(9) = -2 therefore, the point (x, f(x)) = (5, 4) is a local maxima

The local maxima are (-4, 2), and (5, 4), and the function f has local maximum at x = -4, and x = 5

(c) The leading coefficient is the numerical value that multiplies the variable having the highest exponent

The sign and number type of the leading coefficient determines the end behavior

[tex]\begin{array}{cll} \mathbf{Degree \ of \ the \ polynomial}&& \mathbf{Leading \ coefficient}\\\\&\mathbf{Positive (+)}&\mathbf{Negative(-)}\\\\Even&f(x) \rightarrow \infty \ as \ x \rightarrow \pm \infty&f(x) \rightarrow -\infty \ as \ x \rightarrow \pm \infty\\\\Odd &f(x) \rightarrow \infty \ as \ x \rightarrow \infty&f(x) \rightarrow \infty \ as \ x \rightarrow -\infty\\\\Odd&f(x) \rightarrow -\infty \ as \ x \rightarrow -\infty&f(x) \rightarrow -\infty \ as \ x \rightarrow \infty\end{array}[/tex]

The end behavior of the given graph is as x → ±∞, f(x) → ∞, therefore, the

sign of the leading coefficient is positive (+)

(d)  The degree of the polynomial is given by the number and nature of the graph crossing of the x-axis

The graph crosses the x-axis and appears straight across the intercept at 4 points given 4 zeros

The graph bounces of the x-axis at (0, 0), giving 2 zeros

Therefore, the total number of zeros = 4 + 2 = 6 = The degree of the polynomial

The possible degree of the polynomial = 6

Learn more about polynomial function graphs here:

https://brainly.com/question/17155216

Answer:

2.) 8/5

Step-by-step explanation:

a4 = 8/5

Answer:

x = -d(e - c)

Step-by-step explanation:

To make the x a subject, you just need to separate the x from everything else.

-d / x = e - c    (subtract c from both sides)

x = -d(e - c)    (multiply -d from both sides)

Answer:

$238

Step-by-step explanation:

First, we need to find out how much Juan is spending per week before we find out what he's spending per month. To find this answer, just add up all of his bills for one week. It should look something like this:

$29.00 + $17.00 + $13.50 = $59.50

The equation should result in Juan spending $59.50 per week. However, the question asks how much he spends per month, or every four weeks. To get this answer, multiply how much Juan spends a week by four. It should look something like this:

$59.50 X 4 = $238

This final equation will result in Juan spending $238 per month. Let me know if you have any questions!

the answer is true i looked it up

Answer:

6

Step-by-step explanation:

3/4 x 8 = 6

the tip is 15$ im pretty sure

Answer:

Step-by-step explanation:

sum of all angle Δ of figure is 360°

so,

x + x/4 + x + x/4 = 360°

10x / 4 = 360°

10x = 1440°

x = 144°

PLZ FOLLOW ME

Answer:

about 1.59 meters long each

5.9 divided by 35.4 is 0.16

Answer:

0.167 or 0.1666666666666

Step-by-step explanation:

5.9 ÷ 35.4 = 0.16666666666 (the 6 is unending)

if you round that:

0.167

Answer:

1/8

Step-by-step explanation:

1/4 = 2/8 so 3/8 - 2/8 = 1/8

Answer:

1/8

Step-by-step explanation:

This is a common denominators problem. 2/8 is equivalent to 1/4. So now subtract 3/8-2/8 which is 1/8.

Hope it helps!

Answer:

No

Step-by-step explanation:

No it does not. For (4,1), x is equal to 4 and y is equal to 1.

This makes the equation y=x: 1=4

4 does NOT equal 1, so the equation will be false.

x= 113°

hope that helps^^

Answer:

(image attached)

Step-by-step explanation:

You must graph each side of the equation:

y=4x+5

y=-1/3

y=x-8

Answer:

Cylinder volume:

[tex]\pi {r}^{2} h = volume[/tex]

Answer:

153/20

Step-by-step explanation:

We want to have the mixed fraction turned into a improper fraction to make adding them both easier. We would change 5 2/8 to 42/8 and 2 4/10 to 24/10.

We now need to get them a common denominator. The LCM (least common multiple) of 8 and 10 is 40, so we multiply 42/8 by 5/5 getting us 210/40 and 24/10 by 4/4 to get 96/40.

Finally, we add them then simplify. 96/40 + 210/40 is 306/40. We then simplify that to 153/20.

[tex]864 {in}^{2} [/tex]

is the answer of the question

Answer:

200,000

Step-by-step explanation:

brainlist?

Answer:

[tex]y=-10x+43[/tex]

Step-by-step explanation:

We need to put this line into slope-intercept form, which is [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the [tex]y[/tex]-intercept.

The slope is rise over run, how much the [tex]y[/tex] value changes for one [tex]x[/tex] value. This can be found with the equation: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points on the line. Plugging in the first two points:

[tex]m=\frac{3-13}{4-3}=-10/1=-10[/tex]

We know them that [tex]m=-10[/tex]. This gives us for now [tex]y=-10x+b[/tex].

Now, to solve for [tex]b[/tex], plug in any one of the points (I'll use (3,13)):

[tex]13=-10(3)+b[/tex]

[tex]13=-30+b[/tex]

[tex]b=43[/tex]

This gives us the equation [tex]y=-10x+43[/tex].

Answer:

85

Step-by-step explanation:

The line of the right measures 65 degrees (I think), an the line on the left measures 150 degrees. So, 150 - 65 = 85 degrees.

Answer:

85

Step-by-step explanation:

The measure of an angle is the degrees between the initial and terminal sides of the angle.

Answer:

The  constant of proportionality k = 12

Hence, option A is true.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get

y ∝ x

y = kx

Where 'k' is called the constant of proportionality.

In our case,

The given equation is

y = 12x

comparing with the equation y = kx, we can say

k = 12 which is the constant of proportionality.

Therefore, we conclude that:

The  constant of proportionality k = 12

Hence, option A is true.

Answer:

x = 6

Step-by-step explanation:

PR / RQ  = P'R' / R'Q'

x / 9 = 10 / 15

cross-multiply:

15x = 90

x = 90/15

x = 6

Answer:

Yes, AAS

Step-by-step explanation:

Yes, both the triangles are congruent by AAS postulate.

Answer:

C D and F

Step-by-step explanation:

C the result is 9/64

D the result is 3/20

F the result is 3/16

Answer:

C, D and F

Step-by-step explanation:

C because

[tex] \frac{9}{64} < \frac{3}{8} [/tex]

D because

[tex] \frac{3}{20} < \frac{3}{8} [/tex]

F because

[tex] \frac{3}{16} < \frac{3}{8} [/tex]

Answer:

D

Step-by-step explanation:

Got it right edge2021

Answer:

a

Step-by-step explanation:

(-3,-1)

Answer:

thank you sm!

Step-by-step explanation:

I hope you have a good day / night ^^

☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️

Answer:

(3,-1/2)

Step-by-step explanation:

Answer:

what you marked blue is right

Step-by-step explanation:

I think