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oksano4ka [1.4K]
3 years ago
5

Write an equation in slope-intercept form of the line with the parametric equations x=-4t+3 and 5t-3

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
7 0

Answer:

Answer: D

Step-by-step explanation:

Since both equations have the variable t, rewrite t in terms of x

x = -4t + 3

4t = 3 - x

t =  

Now you can plug t into y

y = 5t - 3

y =  

y =  

y =  

y =  

y =

Step-by-step explanation:

You might be interested in
What is the constant of proportionality?
Damm [24]

Answer:  B) 18

=========================================================

Explanation:

x = number of packs of yogurt (column 1)

y = number of ounces of yogurt (column 2)

To get the constant of proportionality k, we divide y over x

k = y/x

k = 36/2 = 18 .... from row 1

k = 54/3 = 18 ... from row 2

k = 90/5 = 18 .... from row 3

This k = 18 value means that each time x goes up by 1, the value of y goes up by 18. This is the slope of the line y = 18x, so it represents the rate of change.

Put another way: 1 pack of yogurt is 18 ounces

4 0
3 years ago
PLEASE HELP ILL GIVE BRANLIEST!!! ( and 50 points! )
Rama09 [41]

Answer:

As we know:

A nickle is worth 5 cents.

A dime is worth 10 cents.

A quarter is worth 25 cents.

Here is what Robert had:

Number of nickles (a)

Number of dimes (b)

Number of quarters (c)

Here is assumption:

5a + 10b + 25c = 850

a = 3b

c = b + 10

=> 5(3b) + 10b + 25(b + 10) = 850

=> 50b + 250 = 850

=> 50b = 600

=> b = 600/50 = 12

=> a = 3b = 3 x 12 = 36

=> c = b + 10 = 12 + 10 = 22

=> Number of nickles: 36

=> Number of dimes: 12

=> Number of quarters: 22

Hope this helps!

:)

8 0
3 years ago
Can someone help me with this worksheet please!!!!
Marat540 [252]

(1) The missing term in the sequence, a₁₂  = 0.8.

(2) The missing term in the sequence, a₈ = 102.5.

(3) The missing term in the sequence, a₈ = 111.

(4) The missing term in the sequence, a₁₂ = -19.

(5) The missing term in the sequence, a₁₂ = 94.

(6)  The missing term in the sequence, a₆ = 40.

(7)  The missing term in the sequence, a₃₆ = -52.

(8)  The missing term in the sequence, a₂₁ = -58.

<h3>Missing term of the sequence</h3>

The missing term in the sequence is determined as follows;

Tₙ = a + (n - 1)d

<h3>1.0 a₄ = 18.4 and a₅ = 16.2, a₁₂ = ?</h3>

T₄ = a + 3d

18.4 = a + 3d  ---(1)

T₅ = a + 4d

16.2 = a + 4d  ---(2)

subtract (1) from (2)

-2.2 = d

18.4 = a + 3(-2.2)

a = 25

a₁₂  = a + 11d

a₁₂  = 25 + 11(-2.2)

a₁₂  = 0.8

<h3>2.0 a₂ = 57.5 and a₅ = 80, a₈ = ?</h3>

a₂ = a + d

57.5 = a + d -- (1)

a₅ = a + 4d

80 = a + 4d  --- (2)

solve (1) and (2)

d = 7.5

a = 50

a₈ =  a + 7d

a₈ = 50 + 7(7.5)

a₈ = 102.5

<h3>3.0 a₁₀ = 141 and a₁₃ = 186, a₈ = ?</h3>

a₁₀ = a + 9d

141 = a + 9d --- (1)

a₁₃ = a + 12d

186 = a + 12d --- (2)

Subtract (1) from (2)

d = 15

a = 6

a₈ = a + 7d

a₈ = 6 + 7(15)

a₈ = 111

<h3>4.0 a₂₂ = -49 and a₂₅ = -58, a₁₂ = ?</h3>

a₂₂ = a + 21d

-49 = a + 21d ---- (1)

a₂₅ = a + 24d

-58 = a + 24d --- (2)

subtract (1) from (2)

d = -3

a = 14

a₁₂ = a + 11d

a₁₂ = 14 + 11(-3)

a₁₂ = -19

<h3>5.0 a₄ = -2 and a₈ = 46, a₁₂ = ?</h3>

a₄ = a + 3d

-2 = a + 3d --- (1)

a₈ = a + 7d

46 = a + 7d ---- (2)

Subtract (1) from (2)

d = 12

a = -38

a₁₂ = a + 11d

a₁₂ = -38 + 11(12)

a₁₂ = 94

<h3>6.0 a₉ = 64 and a₁₂ = 88, a₆ = ?</h3>

a₉ = a + 8d

64 = a + 8d --- (1)

a₁₂ = a + 11d

88 = a + 11d --- (2)

Subtract (1) from (2)

d = 8

a = 0

a₆ = a + 5d

a₆ = 0 + 5(8)

a₆ = 40

<h3>7.0 a₂₀ = -4 and a₂₃ = -13, a₃₆ = ?</h3>

a₂₀ = a + 19d

-4 = a + 19d ---- (1)

a₂₃ = a + 22d

-13 = a + 22d --- (2)

Subtract (1) from (2)

d = -3

a = 53

a₃₆ = a + 35d

a₃₆ = 53 + 35(-3)

a₃₆ = -52

<h3>8.0 a₂₈ = 5 and a₃₃ = 50, a₂₁ = ?</h3>

a₂₈ = a + 27d

5 = a + 27d ---- (1)

a₃₃ = a + 32d

50 = a + 32d --- (2)

Subtract (1) from (2)

d = 9

a = -238

a₂₁ = a + 20d

a₂₁ = -238 + 20(9)

a₂₁ = -58

Learn more about arithmetic progression here: brainly.com/question/6561461

#SPJ1

5 0
2 years ago
This weekend Vanessa made 4 times as many batches as last weekend. She made a total of 25 batches for the two weekends. Determin
MissTica

Answer: The number of batches made by Vanessa  last weekend = 5

Number of batches made this weekend =20

Step-by-step explanation:

Let x be the number of batches made y Vanessa  last weekend.

Given : This weekend Vanessa made 4 times as many batches as last weekend.

i.e. Number of batches made this weekend = 4x

She made a total of 25 batches for the two weekends.

i.e. x+4x=25

\Rightarrow\ 5x=25

Divide both sides by 5 , we get

x=5

i.e. number of batches made y Vanessa  last weekend = 5

Number of batches made this weekend =20

Hence, the number of batches made by Vanessa  last weekend = 5

Number of batches made this weekend =20

7 0
3 years ago
Solve y = 4x + 12, using the x-values, 3, 5, and 8. Which of the following T-tables represents the ordered pairs?
SCORPION-xisa [38]
You plug in each of the 3 numbers as x so the table should have 3,5,8 as x and whatever you get for y for each one is your answer. I saw that you posted this 2 days ago, so you probably don't need help XD
4 0
3 years ago
Read 2 more answers
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