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Oksanka [162]
3 years ago
5

Need help converting an equation to intercept form...

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0
<span>y = <span>x2 </span>+ 5x + 36
y = (<span>x2 </span>− 5x − 36)</span> <span>y = (<span>x2 </span>− 9x + 4x − 36)</span> <span>y = [x (x − 9) + 4 (x − 9)]</span> <span>y = (x − 9)(x + 4)</span>
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Write the equation of the line for the following table of values.
Luda [366]

Answer:

We conclude that the equation of the line is:

  • y = 5x + 1

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

  • (-3, -16)
  • (-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)

m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}

m=5

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

y = mx+b

y = 5x + 1

Therefore, we conclude that the equation of the line is:

  • y = 5x + 1
5 0
3 years ago
PLS HELP NEEDED ASAP GIVING BRAINLESS
Svetllana [295]
The answer would be b
8 0
3 years ago
-3x(7x-4)+6x-(13-24x²)​
Margarita [4]

Answer:

  • 3x^2+18x-13.

Step-by-step explanation:

<u>Step 1:</u>

<em>Equation should be:</em>

  • ((0-(3x*(7x-4)))+6)-(13-(2^3*3x^2))

<u>Step 2:</u>

<em>Equation should be:</em>

  • ((0-3x*(7x-4))+6x)-(13-24x^2)

<u>Step 3:</u>

  • Factoring 3x^2+18x-13
  • The first term is 3x^2. It's coefficient is 3.
  • The middle term is +18x, it's coefficient is 18.
  • The last term, "the constant", is -13.

<em>Step 1</em>:

  • Multiply the coefficient of the first term by the constant   3 * -13 = -39

<em>Step 2:</em>

  • Find two factors of  -39  whose sum equals the coefficient of the middle term, which is 18 .
  •  -39    +    1    =    -38
  •      -13    +    3    =    -10
  •      -3    +    13    =    10
  •      -1    +    39    =    38
  • Observation : No two such factors can be found !!
  • Conclusion : Trinomial can not be factored

<u>Solution:</u>

  • <u />3x^2 + 18x - 13.

5 0
2 years ago
Read 2 more answers
What is the perimeter of 4in. 4in.
barxatty [35]

Perimeter = 4 × side

= 4 \times 4 \\  = 16in

The perimeter of a 4-inch square is 16 inches.

8 0
3 years ago
What is the value of 7P3?<br> 021<br> 35<br> 210<br> 840
MrRissso [65]

Answer:

210

Step-by-step explanation:

The answer for 7p3 is : 210. This can be solved in the following way: 7p3 is an expression for permutation which means the number of ways of arranging 3 items from a total of 7 items.

Hope This Help?

Please Mark Me Brainly!

5 0
3 years ago
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