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3 years ago

WILL GIVE BRAINLIEST! Form quadratic functions given the following information: f(x)>0 if and only if 1

Mathematics

2 answers:

Leni [432]3 years ago

7 0

Answer:

f(x) = -2(x-3)^2+8

Step-by-step explanation:

Using vertex form: f(x)= a(x-h)^2 +k

if the maximum is 8 then k=8

h = 3 --> the midpoint of 1 and 5

Fill in the equation:

f(x) = a(x-3)^2 +8

Using f(1) = 0 to figure out a:

0 = a(1-3)^2+8

4a =-8

a = -2

Our final equation would be $f(x)=-2(x-3)^2+8$

In standard form: $f(x)=-2x+12x-10$

soldier1979 [14.2K]3 years ago

6 0

Answer:

Step-by-step explanation:

sin (330)

-4 cot

(-45)

csc (60)

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in a xy-coordinate system line 1 has a slope of -3. If the points (2,16 and (5,t) are on line 1, what is the value of t?

Dimas [21]

We can use the formula y2-y1/x2-x1 to find our answer. So, we have : t-16/5-2 = -3. We simplify that to t-16/3 = -3. We can then multiply both sides by 3 to get t-16 = -9. Then we can add 16 to both sides to get t = 7.

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3 years ago

Multiple Choice Precalculus Question!

Delvig [45]

From the diagram you can see that for all $x\in (-2,2),$ $f(x)=-2.$

This means that function is constant on the interval $(-2,2).$

Answer: correct choice is C.

5 0

3 years ago

Read 2 more answers

Anyone who know how to do this answer i will give you 20 Brainly points and mark the Braninllest person who get it right.

notka56 [123]

Answer:

Answer is A

Step-by-step explanation:

(14x^4y^6)/(7x^8y^2)

because everything is one term, you can split into three terms

14/7, x^4 / x^8 , and y^6/y^2

multiplying these three terms will get us the starting term

14/7 = 2

x^4 / x^8

with division of exponents, you subtract the smaller exponent (4), from the big exponent (8), and leave it on the same side (bottom) as the big exponent

1/x^4

same thing with our y's

y^6/y^2

this time, the term stays on the top

y^4

take the simplified terms and multiply them together

(2) * (1/x^4) * (y^4) =

A: (2y^4) / (x^4)

7 0

3 years ago

Nathan has three pieces of wood the first is 9.8 feet in length the second is 7.5 feet in length and the third is 12 feet in len

MA_775_DIABLO [31]

Answer:

17.7

Step-by-step explanation:

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3 years ago

A circle has the center of (1,-5) and a radius of 5 determine the location of the point (4,-1)

Sliva [168]

"determine the location" or namely, is it inside the circle, outside the circle, or right ON the circle?

well, we know the center is at (1,-5) and it has a radius of 5, so the distance from the center to any point on the circle will just be 5, now if (4,-1) is less than that away, is inside, if more than that is outiside and if it's exactly 5 is right ON the circle.

well, we can check by simply getting the distance from the center to the point (4,-1).

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{center}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d = \sqrt{[4-1]^2+[-1-(-5)]^2}\implies d=\sqrt{(4-1)^2+(-1+5)^2} \\\\\\ d = \sqrt{3^2+4^2}\implies d =\sqrt{9+16}\implies d=\sqrt{25}\implies \stackrel{\textit{right on the circle}}{d = 5}$

5 0

3 years ago