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harina [27]
3 years ago
7

Help me with this one.......

Mathematics
1 answer:
NemiM [27]3 years ago
4 0
The rachos were sold are 6
because ratio of them at the begining = 3/4
after selling some popcorns, ratio of them still 3/4
they sold 8 popcorns mean 3/4 = ?rachos / 8popcorns sold
the rachos sold = 3*8/4 = 6
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The domain and range of 5x squared plus 10x what is the domain and range of f of x equals 5x squared plus 10x
liberstina [14]

Answer:

Domain:  set of all real numbers

Range:  y \geq  -5

Step-by-step explanation:

We have to find the domain and range of the function:

f(x) =5x^2+10x

This is a quadratic function, shape of a "U", that's called a parabola.

The domain is the set of x values for which the function is defined.

The range is the set of y values for which the function is defined.

Normally, any parabola in the form  ax^2+bx+c  has domain as "all real numbers". This is the case for this problem as well, thus,

Domain = set of all real numbers

Now, for the range, we have to look at the minimum value of the function. So, the range would be y values greater than or equal to the minimum number. Lets find the minimum value of this function.

We have to find the value of x for which the minimum occurs by using the formula:

x=\frac{-b}{2a} =\frac{-10}{2(5)} =-1

<em><u>Note: value of a is "5" and b is "10"</u></em>

Now, we plug this into the function to find the minimum value:

f(x)=5x^2+10x\\f(-1)=5(-1)^2 +10(-1)\\f(-1)=-5

So, the range is set of all real numbers greater than or equal to -5.

8 0
3 years ago
Translate the equation into a verbal sentence.<br> 4x=8x-y
LiRa [457]

Answer:

Four times a number is equal to eight times a number minus a number.

Step-by-step explanation:

5 0
3 years ago
Bath and $38,000 in student loans the interest rate on her salons is 8.25% per year she will be painless loans off for 20 years
scoray [572]

Answer:

$100,700

Step-by-step explanation:

Given data

Principal= $38,000

rate= 8.25%

Time= 20 years

Applying the simple interest

A=P(1+rt)

substitute

A=38000(1+0.0825*20)

A=38000(1+1.65)

A=38000*(2.65)

A=$100,700

Hence in 20 years she will pay $100,700

6 0
2 years ago
QR = 36 ; PR = 45 ; PQ = 21, Sin __?___ = 21 / 45
sammy [17]

Answer:

Sin = PQ / PR = OPPOSITE / HYPOTENUSE

Step-by-step explanation:

Please find the attached file for a clearer understanding.

SOHCAHTOA

Sin = opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = opposite / Adjacent

Math is fun

7 0
3 years ago
Read 2 more answers
Prove:ABCD is a parallelogram
labwork [276]

Answer:

Given

Step-by-step explanation:

<A and <D are supplementary

7 0
3 years ago
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