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3 years ago

What number "c" completes the square: x^2 - 14x + c

Mathematics

1 answer:

Vladimir79 [104]3 years ago

6 0

Answer:

Step-by-step explanation:

To complete the square we use the formula:

$c=(\frac{b}{2} )^{2}$

So we can plug in 14 for b to find c.

$c=(\frac{14}{2} )^{2}\\\\c=(7 )^{2}\\c=49$

Now this equation can be factored into:

$(x-7)^{2}$

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This is exact and approximate pi SOMEONE PLS HELP BEFORE I FAIL

Kisachek [45]

3.14159 this is pi followed by 2653589 circumference over diameter 79323 OMG can’t you see 8462643 and now we’re on a spree 38 and 32 now we’re blue, oh, who knew 7 thousand 9 hundred 50 and then a 2 88 and 41 so much fun now we run 97169399 then 3751 half-way done 458 now don’t be late 2 oh 9 where’s the wine 74 it’s on the floor then 94459 23 oh we gotta go 78 we can’t wait 164 oh 628 we’re almost near the end keep going 62 we’re getting through oh 899 on time 8628 oh 34 there’s only a few more 82 then 53 42117 oh and 67 we’re done, was that fun? Learning random digits so you can brag to your friends

That was the 100 digits of pi, your welcome

3 0

3 years ago

What are the coordinates of the vertex for the function shown below ?

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

We can answer this in two ways: Differentiation and Graphing.

Differentitate:

The first derivative of a function yields a function that provides the slope for any point on the line of the original function. The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.

f(x) = 3(x-1)^2 + 4

f(x) = 3(x-1)(x-1) + 4

f(x) = 3(x^2 - 2x + 1) + 4

f(x) = 3x^2 - 6x + 7

f'(x) = 6x -6

Set this = 0 and find x:

0 = 6x -6

x = 1

The value of y when x=1 in the original equation is:

f(1) = 3(1-1)^2 + 4

y = 4

The vertex is (1,4)

Graph:

You can use DESMOS to plot the function. The result is attached. Look for the vertex and read the coordinates. (1,4) seems to work.

6 0

2 years ago

By exercising regularly, Abby was able to improve her running right this year. Last year, Abby ran a mile in 12 minutes. This ye

OleMash [197]

Answer:

She decreased her running time at a rate of 16.67%

Step-by-step explanation:

In this question, we are asked basically to calculate the percentage decrease in Abby’s running time.

Mathematically, the percentage decrease equals: (new running time - old running time)/old running time * 100%

We input the values and proceed as follows:

Percentage decrease = (10-12)/12 * 100

-2/12 * 100/1 = -1/6 * 100 = -16.67%

Since it’s a decrease, we just simply say that her running time decrease by 16.67%

4 0

3 years ago

The steps to solve it

pashok25 [27]

6(2k-3) is the answer to this problem.
make a distributive
take the 6 out of the equation and u have remaining 2k-3. 6(2k-3)

6 0

3 years ago

A company manufactures and sells shirts. The daily profit the company makes

Rom4ik [11]

Answer:

$f(-5) = -150$

Meaning: If the company sells -5 shirts, they would make a profit of -150 dollars. This interpretation of loss in the context of the problem

$f(7) = -30$

Meaning: If the company sells 7 shirts, they would make a profit of -30 dollars. This interpretation of loss in the context of the problem

$f(10.5) = 5$

Meaning: If the company sells 10.5 shirts, they would make a profit of 5 dollars. This interpretation of profit in the context of the problem

Step-by-step explanation:

Given

$f(x) = 10x - 100$