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2 years ago

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

Mathematics

1 answer:

Elenna [48]2 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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Which statement correctly explains the chart?

makvit [3.9K]

The chart shows a production possibilities schedule for Sabrina’s Soccer.

Combination: Soccer balls: Soccer nets:

A 10 0

B 8 1

C 6 2

D 4 3

E 2 4

F 0 5

Which statement correctly explains the chart?

A. The opportunity cost of producing one soccer net is eight soccer balls.

B. The opportunity cost of producing two soccer nets is two soccer balls.

C. The opportunity cost of producing two soccer balls is one soccer net.

D. The opportunity cost of producing four soccer balls is three soccer nets.

The opportunity cost of producing two soccer balls is one soccer net.

Answer: Option 3

<u>Explanation:</u>

Opportunity cost is when a particular option is chosen from the alternatives given, the opportunity cost is the cost incurred by not enjoying the benefit associated with the best alternative choice.

The problem of the opportunity cost occurs because the resources given in the economy are limited in availability and there fore because of that there has to be some choices that are to be made among the alternatives given in the economy.

In this example it shows that for producing two soccer balls, the opportunity cost is one soccer net.

7 0

3 years ago

Read 2 more answers

A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.

nignag [31]

Answer:

A. 10cm

B. 8 times

Step-by-step explanation:

The question is on volume of a conical container

Volume of a cone= $\pi r^{2} h/3$

where r is the radius of base and h is the height of the cone

Given diameter= 12 cm, thus radius r=12/2 =6 cm

$v=\pi r^2h/3 \\120\pi =\pi *6*6*h/3\\120\pi =12\pi h\\10=h$

h=10 cm

If height and diameter were doubled

New height = 2×10 =20 cm

New diameter = 2×12 = 24, r=12 cm

volume = $v=\pi r^2h/3\\v=\pi *12*12*20/3\\v=960\pi$

To find the number of times we divide new volume with the old volume

$N= 960\pi /120\pi \\\\N= 8$

8 0

2 years ago

Read 2 more answers

2. Find the value of x and y rounded to the nearest tenth.

SVETLANKA909090 [29]

Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

First, we start with the vertical line h that divides y, that is <u>opposite to an angle of 30º, with hypotenuse 34</u>, hence:

sin(30º) = h/34

0.5 = h/34

h = 17.

Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:

$\sin{45^\circ} = \frac{17}{x}$

$x = \frac{17}{\sin{45^\circ}}$

x = 24.

y is divided into two segments.

The first is the adjacent to the angle of 30º, while the hypotenuse is 34.

The second is adjacent to the angle of 45º, while the hypotenuse is 24.

Then:

$\cos{30^\circ} = \frac{y_1}{34}$

$y_1 = 34\cos{30^\circ} = 29.4$

$\cos{45^\circ} = \frac{y_2}{24}$

$y_2 = 24\cos{45^\circ} = 17$

Then, the value of y is given by:

$y = y_1 + y_2 = 29.4 + 17 = 46.4$ .

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

4 0

1 year ago

Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

2 years ago

HELP PLEASE

Fiesta28 [93]

The correct point of the graph would be B. (2,-5)

8 0

2 years ago

Read 2 more answers

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

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