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lara [203]
1 year ago
13

Substituting the equation y = 4x + 1 into the equation 2y = -x – 1 will produce the equation ________.

Mathematics
2 answers:
Zarrin [17]1 year ago
7 0

Answer:

Step-by-step explanation:

Substituting y = 4x+1 into 2y = -x-1 gives the equation

2(4x+1) = -x-1

Solve the equation:

8x+2 = -x-1

9x = -3

x = -⅓

Mars2501 [29]1 year ago
4 0

Answer:

Step-by-step explanation:

Substituting y = 4x+1 into 2y = -x-1 gives the equation

2(4x+1) = -x-1

Solve the equation:

8x+2 = -x-1

9x = -3

x = -⅓

Step-by-step explanation:

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What is the distance between (3, 5.25) and (3, –8.75)? 6 units 8.25 units 11.75 units 14 units
evablogger [386]
By using distance formula :


\text{Distance formula,}  \bold{  \boxed{ Distance = \sqrt{( x_{2} -x_{1})^{2}+(y_{2} -   y_{1})^{2}) }}}





Given points = ( 3 , 5.25 ) and ( 3 , - 8.75 )


\bold{Taking \:  \:  \:  x_{1}=3 \:   \: , \: \:   x_{2}= 3  \:  \: , \:   \:  y_{1}= 5.25 \:   \: ,  \:  \: y_{2}= -8.75}




On applying formula, we get


Distance = \sqrt{ ( x_{2}-x_{1})^{2}+(y_{2}-y_{1})^2} \\  \\  \\ Distance = \sqrt{ ( 3 - 3 )^{2} + ( - 8.75 - 5.25 )^{2}}  \\ \\ \\ Distance = \sqrt{ ( 0 )^{2}  + ( - 14)^{2}}  \\ \\ \\ Distance = \sqrt{ ( - 14 )^{2}} \\ \\ \\ Distance = \sqrt{ 14^{2}} \:\:\:\:\:\:\:\:\:\:\: \:  \:  \:  \:  \:  \:  \:  \:  | \bold{ ( - 14 )^{2} = 14^{2}}  \\  \\  \\ Distance =  {14}^{2 \times  \frac{1}{2} }  \\  \\  \\  Distance =  {14}^{1}  \\  \\  \\  Distance = 14 \: units








Hence, Option D is correct.
4 0
2 years ago
Read 2 more answers
Farmer Hanson is putting together fruit baskets. He has 240 apples and 150 pears. What is the largest number of baskets he can p
Tomtit [17]

Answer: 30 baskets.

<u>Step-by-step explanation:</u>

You need to find the Greatest Common Factor (GCF).

240 (apples) = 2 x 2 x 2 x 2 x 3 x 5

150 (pears) = 2 x 3 x 5 x 5

GCF (240, 150) = 2 x 3 x 5

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You can make 30 baskets containing 240/30 = 8 apples and 150/30 = 5 pears.

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1 year ago
At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least
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We can let r be the number of food tickets and f be the number of food tickets. Since Alana can spend at most $40, that means the total of price bought for r and f must be less than or equal to $40. In addition, since Alana buys at least 16 tickets, this also means that the total of r and f is 16. Mathematically, we have these inequalities: (1) 4r + 2f ≤ 40 and (2) r + f ≥ 16 Multiplying -2 in (2), we have 4r + 2f ≤ 40 -2r - 2f ≤ 32 Adding both inequalities, 2r ≤ 8 r ≤ 4 Since r must be less than or equal to 4.Thus the answer is <span>A.</span>
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I agree with the given answer because of the gain or loss on retirement of bonds = book value of bonds - the amount paid to the bondholders
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In a sale normal prices are reduced by 10% Nathalie bought pair of shoes in the sale for ?54 what was the original price
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Answer:

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Step-by-step explanation:

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