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Rus_ich [418]
3 years ago
13

In the function f(x) = 5(x2 − 4x + ____) + 15, what number belongs in the blank to complete the square?

Mathematics
2 answers:
Georgia [21]3 years ago
5 0
If you would like to find the number which belongs in the blank to complete the square, you can calculate this using the following steps:

f(x) = 5(x^2 - 4x + a) + 15
a ... the number = ?

<span>x^2 - 4x + a = (x - 2)^2 = x^2 - 4x + 4
</span>a = 4

The correct result would be 4.
gavmur [86]3 years ago
5 0

Hey there!

I took the test, and I can confirm that 4 is the CORRECT answer

xXxGolferGirlxXx

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photoshop1234 [79]
The monthly rate of growth for the savings account is $8.40.
6 0
3 years ago
Mr. Toler has a piece of wood that is 8 1/4 feet in length he wants to cut it into pieces that are three over 4 foot in length.
monitta

Answer:

11 pieces.Step-by-step explanation:We must divide 8 1/4 by 3/48 1/4 = 33/4Dividing:33/4 / 3/4= 33/4 * 4/3= 33/3= 11.

Step-by-step explanation:

11 pieces.Step-by-step explanation:We must divide 8 1/4 by 3/48 1/4 = 33/4Dividing:33/4 / 3/4= 33/4 * 4/3= 33/3= 11.

5 0
2 years ago
Can you help me get the answer I’m just not sure if I’m right
zhenek [66]

Answer:

430in^{2}

Step-by-step explanation:

To find the area, use the area for a parallelogram formula:

A = bh, where A is the area, b is the length of the base, and c is the height of the parallelogram.

Next, substitute the values of the base and height:

A = 20in. * 21.5 in.

Finally, simplify the multiplication:

A = 430in^{2}

7 0
3 years ago
How many cubes with side lengths of 1/3 does it take to fill the prism?
Ugo [173]

Answer:

180 cubes

Step-by-step explanation:

little cubes:

v=(\frac{1}{3} )^{3} =\frac{1}{27}

The prism:

v=(\frac{5}{3})(\frac{4}{3}  )(2)=\frac{40}{9} =\frac{20}{3}

the number of cubes that fill the prism:

cubes=\frac{\frac{20}{3} }{\frac{1}{27} } =\frac{(20)(27)}{(3)(1)}= \frac{540}{3} =180

Hope this helps

8 0
2 years ago
Given the slope of a graph is 5 and the y-intercept is -2, identify the correct equation in slope-intercept form.
julia-pushkina [17]

Answer: y=-2x+5

Step-by-step explanation:

I am not sure if this is exactly what you are asking but all you have to do is plug the variables into the formula y=mx+b

Which should give you the above answer of y=-2x+5

8 0
3 years ago
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