If f(x)=49-x^2 and g(x)=7-x, which is the rule of the function (f-g)(x)?A. -x^2-x-56
B. -x^2+x+42
C. 7+x
D. x^3-7x^2-49x=343

Answers

Answer 1
Answer:

Answer:

B

Step-by-step explanation:

(f - g)(x) = f(x) - g(x), then

f(x) - g(x)

= 49 - x² - (7 - x) ← distribute by - 1

= 49 - x² - 7 + x ← collect like terms

= - x² + x + 42 → B


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There are 9 computers and 72 students. what is the unit rate of students to computers?

Answers

The unit rate in students per computer is 8.

What is unit rate?

There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.

We are Given that there are 9 computers and 72 students.

We need to find the unit rate of students to computers.

Number of bolts in 9 computers = 72

Number of bolts in 1 computers = 72/9

                                                    = 8

So, it will be 8

Thus, the unit rate is 8 students per computer.

Learn more about rate on:

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Answer:

The answer is 8

Step-by-step explanation:

72 divided by 9 = 8

Pls help. polynomials solving equations

Answers

Answer:

+9or -9 is the answer ☺️ you

Answer:

y will be equal to 0, 9, or 1

(y=0, 9, 1)

In two or more complete sentences, explain the theorem used in solving for the range of possible lengths of the third side, AB of triangle ABC

Answers

Answer:


Step-by-step explanation:

In triangle if two sides are known and included angle is known we can use cosine formula as follows:

Say in a triangle, sides a,b are known and also included angle C

Then the third side

c^(2) =a^(2)+b^(2) -2abCos C

Since all values on right side are known, we can find the third side c easily.

Case II:

If alternately two sides and one angle not included is known. i.e we know a,b and either angle A or B.

then to find third side we use sine formula.

(a)/(sinA)=(b)/(sinB) =(c)/(sinC)

Using the above we can find the unknonwn side c easily.

You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
 a² = b²+c²
 As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
 b = √(a²-c²) b = √(10²-4²) b = 9.16
 With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10

Determine the 30th term of the sequence -10 -15 -20

Answers

the 30th term is -155
190. Count it out on your fingers, starting with -10,-15, and -20. Then count out both hands. 

How many sweets can you fit in a cylinder with diameter 3 cm and height 10 cm?

Answers

Well, we need the information of the dimensions and the volume of the sweets.

Because the volume of the cylinder is

\pi r^(2)h

r, radius, is half of the diameter, so 3/2=1.5
h is height
so the volume is
\pi r^(2)=\pi 1.5^(2) *10=70.65

(\pi=3.14, approximately)

now, let's say that each sweet has a volume of 1, we can then fit in 70 sweets. But since you forgot to give the dimentions or volume of the sweets, all i can say is: you need to divide 70.65 by the volume of the sweets!

One number is six times another number. Their difference is 35. What are the two numbers?

Answers

Answer:

The two numbers are: 42 and 7

Step-by-step explanation:

let x be the one number and y be the other number..

As per the statement:

One number is six times another number. Their difference is 35.

x = 6y               .....[1]

and

x -y = 35               .....[2]

Substitute equation [1] into [2] we get;

6y-y = 35

Combine like terms;

5y = 35

Divide both sides by 5 we get;

y = 7

Substitute the value of y =7 in [1] we get;

x = 6(7) = 42

Therefore, the two numbers are: 42 and 7

7x6=42. 7+35=42. The numbers are 7 and 42.