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3 years ago

Find the y - intercept of y=3x+15 and then interpret it

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

5 0

Answer:

The y-intercept to the given line equation y=3x+15 is (0,15).

Step-by-step explanation:

Given line equation is y=3x+15

To find the y-intercept from the given line equation y=3x+15:

y-intercept when x=0

That is substitute x=0 in the given line equation

y=3x+15

y=3(0)+15

y=0+15

y=15

Therefore y=5

The point (0,15) on the graph where the line y is intersected is y-intercept.

In other words y-intercept is the point (0,15) where the given line equation y=3x+15 crosses the y-axis.

Therefore the y-intercept to the given line equation y=3x+15 is (0,15).

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liberstina [14]

Answer:

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7 0

2 years ago

Multiply.<br> (5x2-6x+2) x (4x2-3x)

stich3 [128]

Answer:

Step-by-step explanation:

(5 × 2 - 6x + 2) × (4 × 2 - 3x)

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80 - 30x - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)

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Hope this helps! :)

6 0

2 years ago

Marco wants to take a taxi cab ride if the cost to ride is 7.00 with the cost per m is 0.25 per mile and mr. o can only spend 30

77julia77 [94]

Each ride has a fixed cost of 7 and a cost that increases proportionally to the distance travelled of 0.25 per mile. Therefore the total cost of the ride is:

$\text{ cost(x)}=0.25\cdot x+7$

Where "x" is the distance in miles. Marco can only spend 30 on his ride, therefore the cost must be less or equal to that value.

$\begin{gathered} \text{ cost(x)}\leq30 \\ 0.25\cdot x+7\leq30 \end{gathered}$

We can solve the linear equation by isolating the "x" variable on the left side.

$\begin{gathered} 0.25\cdot x\leq30-7 \\ 0.25\cdot x\leq23 \\ x\leq\frac{23}{0.25} \\ x\leq92 \end{gathered}$

Marco's travel must be shorter or equal to 92 miles.

6 0

10 months ago

Please help and explain your work

Ilia_Sergeevich [38]

Answer:

416mm³

Step-by-step explanation:

Volume of rectangular prism

= 10.4mm × 5mm × 8mm

= 416mm³

6 0

2 years ago

Which is the product of (x^2- x + 9)(x – 3)?

DerKrebs [107]

9514 1404 393

Answer:

x^3 -4x^2 +12x -27

Step-by-step explanation:

Use the distributive property.

= (x^2 -x +9)(x) +(x^2 -x +9)(-3)

= x^3 -x^2 +9x -3x^2 +3x -27

= x^3 -4x^2 +12x -27 . . . . . collect terms

8 0

3 years ago