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ikadub [295]
3 years ago
14

The functions f(x) = (x + 1)2 − 2 and g(x) = -(x − 2)2 + 1 have been rewritten using the completing-the-square method. Is the ve

rtex for each function a minimum or a maximum? Explain your reasoning for each function
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0

Answer:

The negative outside the parentheses indicates that the vertex is a maximum

f(x) has a minimum vertex

g(x) has a maximum

Step-by-step explanation:

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Need help fast plz for my pre calc exam
bezimeni [28]

Answer:

<em>h = 8.54 units</em>

Step-by-step explanation:

<u>The Law of Cosines </u>

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

c^2=a^2+b^2-2ab\cos x

Since we know the values of all three side lengths, we solve the equation for x:

\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}

For the triangle ABC in the image, a=10, b=15, c=13, thus:

\displaystyle \cos A=\frac{10^2+15^2-13^2}{2*10*15}

\displaystyle \cos A=\frac{156}{300}

\displaystyle \cos A=0.52

Thus, A = 58.67°

For the right triangle of height h and hypotenuse 10, we use the sine ratio:

\displaystyle \sin 58.67^\circ=\frac{h}{10}

Solving for h:

h = 10\sin 58.67^\circ

h = 8.54 units

6 0
3 years ago
What is 9a+2b+14-7a+5b+4
Mila [183]

Answer:

2a+7b+18

Step-by-step explanation:

combine the like terms

6 0
2 years ago
Can someone help me answer this question ? thanks &lt;3
Tanya [424]

Answer:

lll

Step-by-step explanation:

6 0
3 years ago
Bicillin 300,000 units Im a 12 hrs on hand 600,000 units/1.2 ml how much to give
enyata [817]
<span>Give by deep IM inj into upper outer quadrant of buttock; rotate inj sites. Upper respiratory Group A strep: 1.2 million units once. Syphilis (primary, secondary, latent): 2.4 million units once; (tertiary and neurosyphilis): 2.4 million units every 7 days for 3 doses. Rheumatic heart disease, acute glomerulonephritis: 1.2 million units once per month, or 600,000 units every 2 weeks.</span>
6 0
3 years ago
Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500{ mL} of sauce. Raphael's tomato sauce has 12 cloves of
igomit [66]

For perfect solution we need to have :-  8 colves   in 500ml    solution

500   ml     has   8 cloves

1 ml             has     8 / 500 cloves

100ml         has   8 / 500  * 100  =    8/5  = 1.6 cloves

Raphael's mixture  

    900 ml  has 12 cloves

      1 ml     has   12 / 900 cloves

   100 ml has   12 / 900 *  100   =    12 / 9  =   1.33 cloves

so concentration of garlic in 100 ml solution of Raphael's solution is less than Emily's solution    so it is not garlicky enough.     ( option B)

5 0
3 years ago
Read 2 more answers
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