Determine whether the given is a polynomial in one variable or not:

Polynomial: 4x^2-3x+7
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Explanation:

i = sqrt(-1)

Lets list out the first few powers of i

By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.

For example, i^5 = i^1 because 5/4 leads to a remainder 1.

Another example: i^6 = i^2 since 6/4 = 1 remainder 2

Again, we only care about the remainder to find out which bin we land on.

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Turning to the question your teacher gave you, we have,

739/4 = 184 remainder 3

So i^739 = i^3 = -i

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Side notes:

Answer:

C. 7

Step-by-step explanation:

7 · 7 = 49

I hope this helps!

Answer:60

Step-by-step explanation:

plz like

Answer:

  (c)  y -2 = 6/5(x -1)

Step-by-step explanation:

The equations are all in point-slope form with a slope of 6/5. The points used are (-1, -2), (-2, -1), and (1, 2). It seems point (1, 2) best matches a point on the graphed line. Choice C is the best. (In the attached graph, choice C is the red line.)

_____

Additional comment

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

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The equation might be easier to see if the point chosen were one at a grid intersection, such as (-4, -4) or (6, 8).

Answer:

30000 is mean, 25000 is median

Step-by-step explanation:

Just a logical explanation

if you have a lot  of people making 25000, then chance are you'll find that value in the middle, in assuming that the executives make a lot more

and with executives making a lot more, the mean is 30000

sources: Compare the mean and median of a data set that has a distribution that is skewed right. Answer: The mean will have a higher value than the median

Explanation:

I'm assuming the equation is [tex]y = \frac{5}{7}x[/tex] which is the same as writing y = (5/7)x.

If so, then the constant of proportionality is the fraction out front: The value 5/7 is the coefficient of the term (5/7)x.

All direct proportion equations are of the form y = kx, where k is the constant of proportionality.  Another example would be y = 12x and this time k = 12.

Answer:

See image

Step-by-step explanation:

Compare "like" values to write a proportion (two fractions or ratios set equal to each other) Then you can cross multiply to solve the equation for x

Answer:

8/3

Step-by-step explanation:

The square root of 8 can actually be written [tex]2\sqrt2[/tex], so [tex]4\sqrt2 = 4 \cdot 2\sqrt2 = 8\sqrt2[/tex]

Now, we are looking for [tex]\frac{8\sqrt2}{3\sqrt2}[/tex]. Both the square root of 2s cancel, so we are left with 8/3

Refer to the table.

72 degree

It is given that :

Soccer: 5

Jogging: 20

Walking: 10

Skiing: 5

Football: 10

50 hours

The total hour is given as 50 hours. Out of which walking is 10 hours.

Therefore, in degree the portion of walking will be : 74 degrees

hope this helps :)

Solving for a

Answer:

14

Step-by-step explanation:

Percentage increase =

2% × 700 =

2 ÷ 100 × 700 =

2 × 700 ÷ 100 =

1,400 ÷ 100 =

14

Answer:

Step-by-step explanation:

In order to use a percent in the math work, it must be changed to a decimal, so instead if 2% use .02

700 × .02 = 14

14 is the amount of the increase, so it must be added onto the strarting amount.

700 + 14 = 714

A different way to do this is to say the new amount will be all of the original amount (100%) and also the increase (2%) So in just one step we can calculate th new amount

700 × 1.02 = 714

714 is the price now.

Answer:

x < 57

Step-by-step explanation:

Answer:

you have to go over one on the y axes then 3 up that would be your answer.

your y-intercept would be -1

Answer:

y=-x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-6)/(3-(-2))

m=-5/(3+2)

m=-5/5

m=-1

y-y1=m(x-x1)

y-6=-1(x-(-2))

y-6=-(x+2)

y-6=-x-2

y=-x-2+6

y=-x+4

Answer:

280

Step-by-step explanation:

first, find the area of the triangle

formula: 1/2 (base × height)

so the area of the triangle is

= 1/2 (16×5)

= 1/2 (80)

= 40

then, find the area of the rectangle

formula: length × breadth

the area of the rectangle is

= 15 × 16

= 240

the area of the composite figure is the sum of the areas of the triangle and rectangle

= 40 + 240

= 280

Answer:

13 yrs old

Step-by-step explanation:

104/8=13

Answer:

14 years ago

Step-by-step explanation:

birthday January 16

Answer: y = -x - 3

Using the parent function/formula y = mx +b, you can use the slope formula [tex]\frac{x_{2}-x_1 }{y_2-y_1}[/tex] to determine that the slope is negative. Then, using the answer to the slope equation (m), you can use 2 points from the table to solve the equation for b. Then just write the equation using y, x, value of m, and value of b.

The quantity of excess reserves that the Bank of Cheerton now hold is $210

From the attached table, the amount generated on the reserve is $4,200

If the Fed's reserve requirement is 5 percent, then the quantity of excess reserves that the Bank hold is given as:

Quantity of excess reserves = 5% of $4,200

Quantity of excess reserves = 0.05 * 4200

Quantity of excess reserves = $210

Hence the quantity of excess reserves that the Bank of Cheerton now holds is $210.

Learn more on discounts here; https://brainly.com/question/24304697

Answer:

3

Step-by-step explanation:

[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} = 3[/tex]

X = 5 – 2 = 3

Y = 16 – 7 = 9

[tex]0 = arctan(\frac{y}{x}) = 71.565051177078°[/tex]

[tex]Distance (d) = \sqrt{X2} + Y2 = \sqrt{90} = 9.4868329805051[/tex]

Equation of the line:

y = 3x + 1

When x=0, y = 1

When y=0, x = -0.33333333333333

Answer:

i dont know but some one will help freeee points

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

lx+2l+7>10 /-7

lx+2l>3

if x >0, x+2>3 /-2, x>1

if x <0, x+2<-3 /-2, x<-5

Answer:

43.5

Step-by-step explanation:

x/2+5y-1.5

10/2+5×8-1.5

5+40-1.5

5+38.5

=43.5

Answer:

43.5

Step-by-step explanation:

x ÷ 2 + 5y - 1.5

Start by replacing the x's and y's

10 ÷ 2 + (5 · 8) - 1.5

Start with parenthesis

10 ÷ 2 + 40 - 1.5

Then do the division

5 + 40 - 1.5

Then go left to right

45 - 1.5

43.5

I hope this helps!!!

Answer:

See answer below.

Step-by-step explanation:

P(v) = -4v³ + 12v² - 9v

Point (-5, -845) is not a point on the graph

P(-5) = -4(-5)³ + 12(-5)² - 9(-5)

P(-5) = 500 + 300 + 45

P(-5) = 800 + 45

P(-5) = 845                     point (-5, 845) is a solution

Answer:

The answer is C. (-2, 7)

Good luck :)

Answer:

thankss

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

Given expression:

[tex] \boxed{\mathsf{c = 15 + am}}[/tex]

subtracting 15 from both sides, and combining like terms on the RHS

[tex] \implies\mathsf{c - 15 = (15 - 15)+ am}[/tex]

Dividing both sides by a

[tex] \implies\mathsf{ \frac{c - 15}{a} = am \times \frac{1}{a} }[/tex]

a On the RHS gets canceled for being present in both Numerator as well as denominator, and were left with the following equation:

[tex] \implies\mathsf{ \frac{c - 15}{a} = m }[/tex]

Answer:

[tex]\huge\boxed{y=\dfrac{4}{3}x-1}[/tex]

Step-by-step explanation:

Let

[tex]k:y=m_1x+b_1\\l:y=m_2x+b_2[/tex]

then

[tex]k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]

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We have:

[tex]y=-\dfrac{3}{4}x-3\to m_1=-\dfrac{3}{4}[/tex]

Let

[tex]y=m_2x+b_2[/tex]

Therefore

[tex]m_2=-\dfrac{1}{-\frac{3}{4}}=\dfrac{4}{3}\Rightarrow y=\dfrac{4}{3}x+b_2[/tex]

Substitute

[tex](0,\ -1)\to x=0;\ y=-1[/tex]

[tex]-1=\dfrac{4}{3}\cdot0+b_2\\\\b_2=-1[/tex]

Answer:

c. (0, 8), it is how much gas the truck started with

d. slope = 4, the truck is filling at a rate of 4 gallons per t (probably minute)

Step-by-step explanation: