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Diano4ka-milaya [45]
3 years ago
5

Write an equation of a line in slope-intercept form that passes through the point (-2, 4) and has a slope of -3. (no spaces in y

our answer)
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
8 0

Answer:

y = - 3x - 2

Step-by-step explanation:

Step 1:

y = mx + b     Slope Intercept Form

Step 2:

y = - 3x + b     Input Slope

Step 3:

4 = - 3 ( - 2 ) + b     Input x and y

Step 4:

4 = 6 + b     Multiply

Step 5:

- 2 = b       Subtract 6 on both sides

Answer:

y = - 3x - 2

Hope This Helps :)

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The value of y varies directly with x. If x = 4, then y = 268. What is the value of x when y
artcher [175]

Answer:

14

Step-by-step explanation:

268/4=67

So, x=67y.

938/67=14

3 0
3 years ago
Rewrite the function by completing the square.
ddd [48]

Answer:

  f(x) = (x -6)² +14

Step-by-step explanation:

Completing the square involves writing part of the function as a perfect square trinomial.

<h3>Perfect square trinomial</h3>

The square of a binomial results in a perfect square trinomial:

  (x -h)² = x² -2hx +h²

The constant term (h²) in this trinomial is the square of half the coefficient of the linear term: h² = ((-2h)/2)².

<h3>Completing the square</h3>

One way to "complete the square" is to add and subtract the constant necessary to make a perfect square trinomial from the variable terms.

Here, we recognize the coefficient of the linear term is -12, so the necessary constant is (-12/2)² = 36. Adding and subtracting this, we have ...

  f(x) = x² -12x +36 +50 -36

Rearranging into the desired form, this is ...

  f(x) = (x -6)² +14

__

<em>Additional comment</em>

Another way to achieve the same effect is to split the given constant into two parts, one of which is the constant necessary to complete the square.

  f(x) = x² -12x +(36 +14)

  f(x) = (x² -12x +36) +14

  f(x) = (x -6)² +14

6 0
2 years ago
a gardener plants 36 tomato vines in 2 hours at this rate how many tomato Vines can the gardener plant in 5 hours
Bumek [7]

The Correct Answer is 90


First find out how many in 1 hour so do

36÷2 to get 18

(36 Tomato Vines in 2 Hours)


Then do

18×5 to get 90

6 0
3 years ago
Each side of the first figure is one unit copy and complete the table then find the function rule for the relationship between t
sergij07 [2.7K]
Perimeter of a shape is the total length of its border

Figure 1, perimeter = 5 units
Figure 2, perimeter = 7 units
Figure 3, perimeter = 9 units
Figure 4, perimeter  = 11 units

Notice that the perimeter is forming an Arithmetic sequence; 5, 7, 9, 11 with a common difference of 2

The general form of an Arithmetic sequence is 

n_{th}term=dn+0^{th}term

Where 'd' is a common difference and 'n' is the number of terms.

We have d = 2, and
zero term = the term before the first term = 3

n_{th}term=2n+3 ⇒ This is the rule to find the perimeter of the next figures

8 0
3 years ago
Graph the line with the given points and slope.
shepuryov [24]
So first, plot your point at (0,0) then use rise over run. From (0,0) go up 3 units then right 4 units, and keep going. Then when you go down go -3 units and left 4
8 0
3 years ago
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