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babymother [125]
3 years ago
11

Gloria used 2 1/2 tubes of blue paint to paint the sky in her picture. Each tube holds 4/5 ounces of paint. How many ounces of b

lue paint did Gloria used?
Please Help and give the equation to solve the problem.
Mathematics
1 answer:
Simora [160]3 years ago
6 0
2 1/2 = x
1 = 4/5
2 = 8/5 = 1 3/5
1/2 = 2/5
1 3/5 + 2/5 = 2
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F(x)=-x^2+8x+15 ...?
rusak2 [61]
Here i how I would do it:<span>f(x)=−<span>x2</span>+8x+15</span>
set f(x) = 0 to find the points at which the graph crosses the x-axis. So<span>−<span>x2</span>+8x+15=0</span>
multiply through by -1<span><span>x2</span>−8x−15=0</span> <span>(x−4<span>)2</span>−31=0</span> <span>x=4±<span>31<span>−−</span>√</span></span>
So these are the points at which the graph crosses the x-axis. To find the point where it crosses the y-axis, set x=0 in your original equation to get 15. Now because of the negative on the x^2, your graph will be an upside down parabola, going through<span>(0,15),(4−<span>31<span>−−</span>√</span>,0)and(4+<span>31<span>−−</span>√</span>,0)</span>
To find the coordinates of the maximum (it is maximum) of the graph, you take a look at the completed square method above. Since we multiplied through by -1, we need to multiply through by it again to get:<span>f(x)=31−(x−4<span>)2</span></span><span>
Now this is maximal when x=4, because x=4 causes -(x-4)^2 to vanish. So the coordinates of the maximum are (4,y). To find the y, simply substitute x=4 into the equation f(x) to give y = 31. So it agrees with the mighty Satellite: (4,31) is the vertex.</span>
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3 years ago
How many inches are in 300 feet
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3 0
3 years ago
In​ 2009, the national debt of a government was about ​$10.5 trillion. Using 308.0 million as the population for that​ year, abo
Katarina [22]

Answer:

34091 dollars per person

Step-by-step explanation:

In order to answer the question, you have to divide the amount of debt by the amount of population to obtain the amount of dollars per person.

The debt was $10.5 trillion. A trillion is a thousand billion  (1000 multiplied by a billion which is 10^{9} in scientific notation)

1000=10^{3}

One trillion is (10^{3})(10^{9})=10^{12}

The debt is: $ 10.5 x 10^{12}

The population is scientific notation is: 308.0 x 10^{6}

Dividing the amount of debt by the amount of population:

\frac{(10.5)(10^{12})}{(308.0)(10^{6})}=\frac{(10.5)(10^{12-6})}{308.0}=\frac{(10.5)(10^{6})}{308.0}

Simplifying and expressing it in standard notation:

34090.9 dollars per person

Rounding to the nearest dollar:

34091 dollars per person.

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3 years ago
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