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3 years ago

8 lb 1 oz − 3 lb 6 oz

Mathematics

1 answer:

lbvjy [14]3 years ago

6 0

Answer:

Since you want me to answer 3 lb 1 oz - 1 lb 15 oz instead, the answer is 18 oz

Step-by-step explanation:

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Write the quadratic function f(x) = x2 - 5x + 3 in vertex form. Complete the square to determine the maximum or minimum value of

enyata [817]

Answer:

a). Vertex form f the function f(x) = (x - 2.5)²+3.25

b). Maximum value of the function is (-3)

Step-by-step explanation:

a). f(x) = x² - 5x + 3

we have to write this function in the vertex form.

f(x) = x² - 2(2.5)x + 3

= [(1)²x²- 2(2.5)x + (2.5)²-(2.5)²] + 3

= (x - 2.5)²- 6.25 + 3

= (x - 2.5)² - 3.25

So the vertex for of the function is

f(x) = (x - 2.5)² - 3.25

b). Given quadratic function f(x) = -x² - 6x + 6 is in the standard form of f(x) = ax² + bx + c.

By comparing the coefficients of both the functions,

a = -1, b = 6 and c = 6

Here the value of a is negative, therefore, the given parabola is opening downwards.

And the maximum will occur at

$x=-\frac{b}{2a}$

When we plug in the values,

$x=-\frac{6}{2(-1)}$

x = 3

Now to get the value of maximum of the function we will get the value of f(3).

f(3) = -(3)²- 6(3) + 6

f(3) = 9 - 18 + 6

f(3) = -3

Therefore, maximum value of the quadratic function is (-3).

4 0

3 years ago

Mr. Drew wants to build a square sandbox with an area of 289 square feet. What is the total length of wood Mr. Drew needs to mak

alisha [4.7K]

Answer:

68 feet

Step-by-step explanation:

A square with area 289 ft² has sides √289 = 17 ft long. There are 4 of them so the perimeter is 4×17 ft = 68 feet.

Mr. Drew needs 68 feet of wood for the sides of the sandbox.

5 0

3 years ago

I will give 30 points please don’t mess around. Write an informal proof for why the construction of an equilateral triangle work

Marina86 [1]

Answer:

An equilateral triangle is one with all three sides the same length. It begins with a given line segment which is the length of each side of the desired equilateral triangle. ... It is similar to the 60 degree angle construction, because the interior angles of an equilateral triangle are all 60 degrees.

Step-by-step explanation:

8 0

3 years ago

This is my next Trigonometry question I am needed help on- I just want to be sure I've got it right, or if not, then the steps I

makkiz [27]

$\bf \textit{simmetry identities}\\\\
sin(-\theta)=-sin(\theta)\\\\
-------------------------------\\\\
sin(-\theta)=\cfrac{1}{5}\implies -sin(\theta)=\cfrac{1}{5}\implies sin(\theta)=\cfrac{-1}{5}\cfrac{\leftarrow opposite=b}{\leftarrow hypotenuse=c}
\\\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\implies \pm\sqrt{5^2-(-1)^2}=a
\\\\\\
\pm\sqrt{24}=a\implies \pm2\sqrt{6}=a$

so. hmm which is it? the +/- ? well, neverminding for a second, the value of tangent, just looking at the sign, the tangent is positive,

tangent = opposite/adjacent.... so that only happens, when both are the same sign, + or - both

now, we know the sine is -1/5.. if the sine is negative, the cosine also has t to be negative, so we'd use the -2√(6) = a

thus $\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\implies cos(\theta)=\cfrac{-2\sqrt{6}}{5}$

4 0

3 years ago

Answer correctly plz first and that is correct will get brainliest.

Zanzabum

Answer:

The bag of chips and the pretzel are 14.

The cookie is 8.

The popcorn is 13.

"?" is 222.

Step-by-step explanation:

We know that the bag of chips and the pretzel are equal to each other so all we have to do to figure them out is to divide 42 by 3, which gets us 14.

So, now we know the bag of chips and the pretzel are both 14.

To figure out what the cookie is, we take 14 away from 30, which gets us 16. Two cookies are 16 which means that one cookie is 8.

To figure out what the popcorn is, we have to take away 16 from 29 since two cookies are 16. 29 minus 16 is 13.

Popcorn therefore is 13.

Two popcorns' is 26.

26 multiplied by 8 is 208.

208 plus 14 is 222.

Hope that made sense and answered your question! :)

3 0

3 years ago