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vovangra [49]
3 years ago
6

Write an equation of the line with y-intercept 3 that is parallel to y=-3/4x-4

Mathematics
1 answer:
Bond [772]3 years ago
4 0

Answer:

y = -(3/4)x + 3

Step-by-step explanation:

Any line parallel to y = -(3/4)x - 4 will have the same equation, except that the y-intercept will be different.  Here we need only replace that -4 intercept with 3, obtaining:

y = -(3/4)x + 3.

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Find the 52nd term of the given arithmetic sequence-30, -38, -46, -54...
torisob [31]

The sequence is given to be:

-30,-38,-46,-54...

The nth term of an arithmetic sequence is calculated using the formula:

a_n=a_1+(n-1)d

where a₁ is the first term, n is the number of terms, and d is the common difference.

From the given sequence, the following parameters can be gotten:

\begin{gathered} a_1=-30 \\ d=-38-(-30)=-8 \end{gathered}

Therefore, the parameters can be substituted into the formula to find the 52nd term:

\begin{gathered} n=52 \\ \therefore \\ a_{52}=-30+(52-1)(-8) \\ a_{52}=-30+51(-8)=-30-408 \\ a_{52}=-438 \end{gathered}

The 52nd term is -438.

8 0
1 year ago
the graph of the absolute value parent function is vertically stretched by a factor of three, then shifted two units left &
ahrayia [7]

Answer:

  • y =  3 | x + 2 | - 5

Step-by-step explanation:

<u>The absolute value function is:</u>

  • y = | x |

<u>Step 1. Function is vertically stretched by a factor of 3:</u>

  • y = 3 * | x |

<u>Step 2. Shifted two units left:</u>

  • y = 3 | x + 2 |

<u>Step 3. Shifted 5 units down:</u>

  • y =  3 | x + 2 | - 5

<em>See attached</em>

<em>Steps are </em><em>Black → Blue → Green → Red</em>

6 0
3 years ago
Solve the equation by factoring.<br> x² + 2x - 63 = 0<br> x = -9, [?]
xeze [42]

Step-by-step explanation:

x² + 2x - 63 = 0

(x+9)(x-7)=0

x=-9 x=7

7 0
1 year ago
a line passes through the points R(-1,-5) and S(-3,-1). write the equation of the line through the point A(4,0)that is parallel
Nimfa-mama [501]
I don't know how to solve this but you can go to desmos.com and it will graph it for you.

Hope this helps make your life easier!
6 0
3 years ago
What is the slope of the line? Just put the number that represents the<br> slope (no units). *
Alex777 [14]

Answer:

3/3 or just 3.

Step-by-step explanation:

everytime the line crosses the x and y coordinates is basically a plot. so counting from the bottom left hand corner to the "plot" in the middle is 3/3 because it rises three and runs positive 3.

8 0
3 years ago
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