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Viktor [21]
3 years ago
10

Which of the following is a correct equation for the line passing through the point (-1,4) and having slope m=-3

Mathematics
1 answer:
timurjin [86]3 years ago
5 0

Answer:

y = -3x + 1

Step-by-step explanation:

Starting with the point (-1, 4) and the slope m = -3, write out the point-slope equation of a straight line:  y - k = m(x - h) becomes y - 4 = -3(x + 1), or:

y = -3x - 3 + 4

y = -3x + 1    This is the same as answer choice (b).

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How do you write a polynomial function for this graph?
expeople1 [14]

first off, let's notice the graph touches the x-axis at -1 and 3, namely, those are the zeros/solutions/roots of the polynomial and therefore, the factors come from those points.

now, at -1, the graph doesn't cross the x-axis, instead it <u>simply bounces off</u> of it, that means the zero of x = -1, has an even multiplicity, could be 4 or 2 or 6, but let's go with 2.

at x = 3, the graph does cross the x-axis, meaning it has an odd multiplicity, could be 3 or 1, or 7 or 9, but let's use 1.


\bf \begin{cases} x=-1\implies &x+1=0\\ x=3\implies &x-3=0 \end{cases}~\hspace{5em}\stackrel{\textit{even multiplicity}}{(x+1)^2}\qquad \stackrel{\textit{odd multiplicity}}{(x-3)^1}=\stackrel{y}{0} \\\\\\ (x^2+2x+1)(x-3)=y\implies x^3+2x^2+x-3x^2-6x-3=y \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill x^3-x^2-5x-3=y~\hfill

5 0
3 years ago
Read 2 more answers
Leo had $91, which is 7 times as much money as Alison had. How much
NARA [144]

Answer:

7x=91

$13.

Step-by-step explanation:

Let x represent money that Alison has.

We have been given that Leo has 7 times as much money as Alison had. So the amount of money that Leo has, would be 7x.

We are also told that Leo had $91, so we will equate 7x with 91 and solve for x as:

7x=91

To solve for x, we will divide both sides by 7:

\frac{7x}{7}=\frac{91}{7}

x=13

Therefore, Alison has $13.

8 0
3 years ago
Read 2 more answers
Cmon fwm on dis one to
stich3 [128]

Answer:

x = 10.5

Step-by-step explanation:

we know that ZP = PX (its the midpoint of the rectangle)

11 = PX

ZP + PX = ZX

11+11 = ZX

22 = ZK

2x + 1 = 22

2x = 22 -1

2x = 21

x = 21/2

x = 10.5

3 0
3 years ago
17. Which of the following is the correct formula for finding power in a DC circuit? A. P = I2R B. P = VR C. P = IR D. P = V2I
netineya [11]

Answer:

Choice A. P = I² · R where

  • P is the power in the DC circuit,
  • I is the current through the circuit, and
  • R is the total resistance of the circuit.

Step-by-step explanation:

Electrical power is the rate at which the electrical force does work. So what is electrical work? That's the work W that the electrical force do when it moves charges Q across a potential difference V:

W = V\cdot Q.

The power is the rate at which the electrical force do the work:

\displaystyle P = \frac{W}{t} = V \cdot \frac{Q}{t}.

On the other hand, current I is the charge through a cross-section of the circuit in unit time. By the definition of current:

\displaystyle\frac{Q}{t} = I.

\displaystyle P =V \cdot \frac{Q}{t} = V\cdot I.

Consider Ohm's Law:

V = I \cdot R.

Therefore

\displaystyle P = V\cdot I = (I \cdot R) \cdot I = I^{2}\cdot R.

6 0
3 years ago
Read 2 more answers
Please show work <br><br> Thank uuuu :)
hjlf

2 boxes for $6.00 5 Bars each is 10 bars for $6.00 or $3.00 for 5 bars

so $6.00 divided by 10 =.60 or 60 cents per bar

12 bars for $7.44 is $7.44 divided by 12 =.62 or 62 cents per bar

so the difference between 60 cents and 62 cents is

2 cent Difference 

3 0
3 years ago
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