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3 years ago

The expression 9x ^(2)-5x -7 has_ terms and a constant of __ .

Mathematics

1 answer:

Elenna [48]3 years ago

8 0

The expression $9x ^2-5x -7$ has_3__ terms and a constant of __-7__ .

Step-by-step explanation:

The expression $9x ^2-5x -7$ has___ terms and a constant of ____ .

Each term in an expression is separated by + or -

A constant is a term in an expression that contains only numbers. It doesn't have variables in it.

So, in the given expression $9x ^2-5x -7$

Terms : 3 i.e, 9x^2, 5x, 7

and constant = -7

The expression $9x ^2-5x -7$ has_3__ terms and a constant of __-7__ .

Keywords: Terms and Constants

Learn more about Terms and Constants at:

#learnwithBrainly

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Ede4ka [16]

<h3>Answer: 6 dollars per kilogram</h3>

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Explanation:

The mixed number 4 & 1/2 converts to the decimal form 4.5

The unit price is 27/(4.5) = 6 dollars per kilogram

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If you wanted, you can think of it like this ratio

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2 years ago

Simplify (-5i)+(5-1)+6

Liono4ka [1.6K]

Hi there

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3 years ago

On a certain route, an airline carries 8000 passengers per month, each paying $70.A market survey indicates that for each $1

son4ous [18]

Answer:

The maximum revenue is $661,250.

Step-by-step explanation:

The total revenue (R) is the product between the number of passengers (N) and the price of each ticket (P), so the inicial revenue is:

R = N * P = 8000 * 70 = $560,000

For each 1$ increase in the ticket, the airline loses 50 passengers, so if we call "x" the increase in the ticket price, we have that the revenue equation will be:

R = (8000-50*x) * (70+x) = 560000 + 8000*x - 50*70*x -50x2

R = -50*x2 + 4500*x + 560000

The value of x that gives the maximum value of a quadratic function is found using the formula:

x = -b/2a

where a and b are coefficients of the quadratic equation (in our case, a = -50 and b = 4500)

So the value of x that gives the maximum revenue is:

x = -4500 / (-100) = 45

Using this value in the revenue equation, we have that the maximum R is:

R = -50*45^2 + 4500*45 + 560000 = $661,250

(To get this revenue, the ticket will cost 70+45 = $115 and there will be 8000-50*45 = 5750 passengers)

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3 years ago

A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

kolbaska11 [484]

Answer:

Volume of cylinder = $\pi r^2h$

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = $\pi r^2$

Area of square = $s^2$

Side of square = diameter of circle= $D^2$

Diameter = 2r

∴ Area of square= $2r^2=4r^2$

$\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}$

Area of circle is $\frac{\pi }{4}$ of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = $4r^2h$

Volume of cylinder = Area of circle × h = $\pi r^2h$

Now, rate

$\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}$

⇒Volume of cylinder is $\frac{\pi }{4}$ of Volume of prism.

Volume of Cylinder = $\frac{\pi }{4}\times Volume of prism$

Volume of cylinder = $\frac{\pi }{4}\times 4r^2h$

Volume of cylinder = $\pi r^2h$

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3 years ago

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3 years ago

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The expression 9x ^(2)-5x -7 has___ terms and a constant of ____ .

The expression 9x ^(2)-5x -7 has_ terms and a constant of __ .