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2 years ago

What is the x-coordinate of the vertex of the parabola whose equation is y = 3x² + 9x?

Mathematics

1 answer:

saveliy_v [14]2 years ago

3 0

Answer: -3/2

Step-by-step explanation:

The axis of symmetry, and thus the x-coordinate of the vertex, is given by $x=-\frac{b}{2a}$

So, the answer is $x=-\frac{9}{2(3)}=\boxed{-\frac{3}{2}}$

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Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden

alina1380 [7]

Answer:

Mary bought 9 Golden Delicious apples

Step-by-step explanation:

This can be solved by setting up a system of equations. Based on the information given, the equations would be set up as follows.

$.75d+1.25g=21.00\\d+g=22$

I prefer to solve using substitution, but elimination can be used as well

$.75d+1.25g=21.00\\g=22-d$

We can now plug in this g value to the first equation

$.75d + 1.25 (22-d)=21.00\\.75d + 27.5-1.25d=21\\27.5-0.5d=21\\-.5d=-6.5\\d=13$

This means mary bought 13 delicious apples. She bought 22 apples in total, so the total number minus the amount of delicious apples will give us the amount of golden delicious apples.

22 - 13 = g

9 = g

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<em>Let me know if you have any questions! Spread the love. </em>

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2 years ago

the table shows conversions of common units of capacity how many gallons are in 50 L round answer to the nearest tenth

Temka [501]

Answer: it is 13 gallons

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3 years ago

The graph shows how many bottles a machine caps in a certain number of seconds.

devlian [24]

Answer:

The machine caps 900 bottles in 45 seconds

Step-by-step explanation:

15/300 is equal to 45/900

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3 years ago

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aleksley [76]

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Step-by-step explanation: I think

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