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3 years ago

Combining like terms 11w - 9 - 7 w = 15

Mathematics

2 answers:

Julli [10]3 years ago

8 0

Answer:

w = 6

Step-by-step explanation:

11w - 9 - 7w = 15

4w = 15 + 9

w = 24/4

w = 6

scZoUnD [109]3 years ago

3 0

Answer:

Step-by-step explanation:

11w - 9 - 7 w = 15

11w - 7w = 15 + 9

4w = 24

w = 24 / 4

w = 6

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Find the equation of the axis of symmetry of the following parabola algebraically.

mr Goodwill [35]

Answer:

the equation of the axis of symmetry is $x=8$

Step-by-step explanation:

Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: $x=constant$ , being that constant the very x-coordinate of the vertex.

So we use for that the fact that the x position of the vertex of a parabola of the general form: $y=ax^2+bx+c$ , is given by:

$x_{vertex}=\frac{-b}{2\,a}$

which in our case becomes:

$x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{48}{2\,(3)} \\x_{vertex}=\frac{48}{6} \\x_{vertex}=8$

Then, the equation of the axis of symmetry for this parabola is:

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4 years ago

The cost of 1 watermelon and 5 oranges is $11.The cost of 3 watermelons and 5 oranges is $24.50.How much is the cost of 1 waterm

nignag [31]

Answer:

$6.75

Step-by-step explanation:

1: In this explanation, let's let one watermelon be w, and one orange be o.

2: From the passage, 1w + 5o = $11.

3: Also from the passage, 3w + 5o = $24.50

4: We can then use a simultaneous equation to work them out - both equations we have use 5 oranges.

3w + 5o = 24.5 (equation 1)

1w + 5o = 11 (equation 2)

5: We can now take the second equation away from the first :

3w - 1w = 2w, 5o - 5o = 0, 24.5 - 11 = 13.5

Now we know 2w = 13.5

6: If 2w = $13.50, one watermelon will be half of that, so $6.75

Hope this helps, let me know if you have any further questions :)

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