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Stella [2.4K]
3 years ago
12

Transformations questions! thank you :)

Mathematics
1 answer:
denis-greek [22]3 years ago
4 0

Answer:

Either B or D is the answer

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the number of kilometers a car can drive varies directly with the liters of fuel in the car. this car can travel 476 kilometers
notka56 [123]

For this case we have that the relationship is direct.

Therefore, we have:

y = k * x

Where,

y: distance traveled in kilometers

x: number of liters of fuel

k: proportionality constant

We must look for the value of k. For this, we use the following data:

This car can travel 476 kilometers on 17 liters of fuel.

Substituting values we have:

476 = k * 17

From here, we clear the value of k:

k = \frac{476}{17}\\k = 28

Therefore, the relationship is:

y = 28x

For 1428 kilometers we have:

1428 = 28x

Clearing the amount of fuel we have:

x = \frac{1428}{28}\\x = 51

Answer:

51 liters of fuel are required for the vehicle to travel 1,428 kilometers

3 0
3 years ago
4(x-3)-(2x+5)=-3x-27
Georgia [21]
4(x-3)-(2x+5)=-3x-27
4*x - 4*3 - 2x - 5 = -3x - 27
4x - 12 - 2x - 5 = -3x - 27
2x - 17 = -3x - 27
2x + 3x = -27 + 17
5x = -10 / : 5
x = -2

7 0
2 years ago
Read 2 more answers
⎪6 − 4⎪ − ⎪3 − 8⎪ = ?<br> Please help!!!!
andriy [413]

Answer:

-3

Step-by-step explanation:

Numbers that come out of the absolute values are always positive.

|6 - 4| -|3 - 8| =

| 2| - | -5| =

2 - 5 =

-3

3 0
2 years ago
Where do I put the parentheses in 15-3x4+9=12
aivan3 [116]

Answer:

That depends on which operations you want to do first. The order of operations affect to outcome of the equation.

In this case:

15 - (3 x 4) + 9 = 12

6 0
2 years ago
Read 2 more answers
Need help I forgot how to do this ​
Marat540 [252]

Answer:

A.

Step-by-step explanation:

you have to find the discriminant

b²-4ac for each equation

if discriminant < 0 no real solutions because will be negative under the squareroot whhan you try to find the roots

if discriminant = 0 there is only one solution

if discriminant > 0 two real solutions

for your given problems

A. discriminant =(-2)²-4*2*15 will be negative

8 0
2 years ago
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