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3 years ago

Anybody have an answer?

Mathematics

1 answer:

Usimov [2.4K]3 years ago

8 0

You can cross out sin x from both the numerator and denominator, as sin x over sin x should always equal 1.

The answer is -cos x.

You might be interested in

What is the minimum or maximum value of the equation of this equation?<br> f(x) = -(x-8)^2 -30

Snezhnost [94]

9514 1404 393

Answer:

f(8) = -30 is the maximum

Step-by-step explanation:

The equation is that of a parabola in vertex form:

y = a(x -h)^2 +k . . . . . . . . (h, k) is the vertex; 'a' is the scale factor

Comparing this form to the given equation, we have ...

f(x) = -(x -8)^2 -30

a = -1
h = 8
k = -30

That is, the scale factor is -1, and the vertex is (8, -30).

When the scale factor is negative, the graph opens downward and the vertex is a maximum. The maximum value is -30.

8 0

3 years ago

If 111 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the c

VikaD [51]

Answer:

57 children

54 adults

Step-by-step explanation:

Let's call x the number of children admitted and call z the number of adults admitted.

Then we know that:

$x + z = 111$

We also know that:

$3.25x + 4z = 401.25$

We want to find the value of x and z. Then we solve the system of equations:

-Multiplay the first equation by -4 and add it to the second equation:

$-4x - 4z = -444$

$3.25x + 4z = 401.25$

----------------------------------

$-0.75x = -42.75$

$x =\frac{-42.75}{-0.75}\\\\x=57$

Now we substitute the value of x in the first equation and solve for the variable z

$57 + z = 111$

$z = 111-57$

$z = 54$

5 0

3 years ago

Read 2 more answers

At the market, Ms. Winn bought 3/4 lb of grapes and 5/8 lb of cherries.

wolverine [178]

Answer:

Part a) Ms. Winn bought 12 oz of grapes

Part b) Ms. Winn bought 10 oz of cherries

Part c) Ms. Winn bought 2 oz more of grapes than cherries

Part d) Mr. Phillips bought 6 more ounces of fruit than Ms. Winn

Step-by-step explanation:

Part a) How many ounces of grapes did Ms. Winn buy?

Remember that

$1\ lb=16\ oz$

To convert lb to oz multiply by 16

we know that

Ms. Winn bought 3/4 lb of grapes

Convert lb to oz

Multiply by 16

$\frac{3}{4}\ lb= \frac{3}{4}(16)=12\ oz$

therefore

Ms. Winn bought 12 oz of grapes

Part b) How many ounces of cherries did Ms. Winn buy?

Remember that

$1\ lb=16\ oz$

To convert lb to oz multiply by 16

we know that

Ms. Winn bought 5/8 lb of cherries

Convert lb to oz

Multiply by 16

$\frac{5}{8}\ lb= \frac{5}{8}(16)=10\ oz$

therefore

Ms. Winn bought 10 oz of cherries

Part c) How many more ounces of grapes than cherries did Ms. Winn buy?

Subtract the ounces of cherries from the ounces of grapes

$12\ oz-10\ oz=2\ oz$

therefore

Ms. Winn bought 2 oz more of grapes than cherries

Part d) If Mr. Phillips bought 1 3/4 pounds of raspberries, who bought more fruit, Ms. Winn or Mr. Phillips? How many ounces more?

Remember that

$1\ lb=16\ oz$

To convert lb to oz multiply by 16

we know that

Mr. Phillips bought 1 3/4 pounds of raspberries

Convert mixed number to an improper fraction

$1\frac{3}{4}\ lb=\frac{1*4+3}{4}=\frac{7}{4}\ lb$

Convert lb to oz

Multiply by 16

$\frac{7}{4}\ lb= \frac{7}{4}(16)=28\ oz$

Remember that

Ms. Winn bought 12 oz of grapes and 10 oz of cherries

In total Ms. Winn bought

12 oz+10 oz=22 oz -----> total ounces of fruit

Mr. Phillips bought 28 oz of fruit

Ms. Winn bought 22 oz of fruit

$28\ oz > 22\ oz$

Find the difference

$(28\ oz-22\ oz)=6\ oz$

therefore

Mr. Phillips bought 6 more ounces of fruit than Ms. Winn

4 0

3 years ago

HUDSON HAS TO FILL A POT WITH 1 QUART OF WATER. ALL HE HAS IS 1/4 CUP MEASURING CUP. HOW MANY TIMES DOES HE HAVE TO FILL THE 1/4

Marta_Voda [28]

There are 4 cups in a quart.

So if Hudson has only a 1/4 measuring cup, this can be represented by the equation:

4/1/4, solving it we get: 4* 4 (dividing turns a fraction into its reciprocal)

So, 4*4=16

Hudson will have to fill the 1/4 measuring cup 16 times to get a quart.

I hope this helps!

4 0

3 years ago

Read 2 more answers

What is the domain of the cubic function -(2x+3)^3 -1

Mazyrski [523]

Answer:

(-infinite,+infinite)

7 0

3 years ago