A salesman is paid $450 a week, plus a commission of 35 cents for every item that he sells. Write a linear function where the paycheck, P, of the salesman is a function of the number, N, of items he sells. If the salesman only has 1400 items available to sell each week, find the domain and range of the function.

Answer:

IQR = 12

Step-by-step explanation:

interquartile range is the difference between quartile 3 and quartile 1

in this set of data Q3 = 40 and Q1 = 28

so IQR = 12

Answer:

HOPE IT HELPED U .....

Step-by-step explanation:

a). f(5)= 2x +6

= 2 *5+6

= 10+6

=16

(b). g (9)= -12x+4

= -12*9+4

= -108 +4

=-104

(c). f(5)+f(9)= 16+(-104)

=-88

Answer:

Step-by-step explanation:

f(x)=2x+6

f(5)=2*5+6

f(5)=10+6

f(5)=16

g(x)=-12x+4

g(9)=-12*9+4

g(9)=-108+4

g(9)=-104

Answer:

x < [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

Have a great summer :)

Answer:

someone answered this and its correct

Step-by-step explanation:

:D

Answer:

below

Step-by-step explanation:

a.. it divides the triangle into two equal parts

b.. it is an isosceles triangle

c.. the base line of a mid point are equal

d.

g. two angles are equal in isosceles triangle

Answer:

∆ABC~=∆PQR

Angle BAC=QPR

Answer:

Angles are rays with a shared endpoint.

Lines extend forever in either direction.

Rays AB and AC extend forever in either direction.

Step-by-step explanation:

Answer:

An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

[tex]\sqrt{25}[/tex] is equal to 5, so we can sub it in the equation.

This gives 12-3×5 or 12-15.

This solves to -3.

**This content involves simplifying surds, which you may wish to revise. I'm always happy to help!

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

7x + y = 14

-2x - y = 6

Step 2: Solve for x

Elimination

Answer:

i dont know spanish

Step-by-step explanation:

Answer:

x = 42°

Step-by-step explanation:

You can mark the opposite angle from 96° as 96° and the 2 other unknowns as y.

96 • 2 + 2y = 360

168 = 2y

y = 84

x is half of y.

84 ÷ 2 = 42

Answer:

[tex]x=42^{o}[/tex]

Step-by-step explanation:

Area of a triangle is 180 degrees

Here both the triangles are same so, form an equation:

[tex]x+x+96=180[/tex]

[tex]2x+96=180[/tex]

[tex]2x=180-96[/tex]

[tex]2x=84[/tex]

[tex]x=84/2[/tex]

[tex]x=42^{o}[/tex]

Answer:

C. 4 is the right answer!

Step-by-step explanation:

Equation 1: 12-x=5 (Answer is 7)

Equation 2: 60-x=25 (Answer is 35)

Answer:

ronalyn has 7 oranges

7 + 5 = 12

aurthur has Php 35.00

25.00 + 35.00 = 60.00

hope it helps u..

Answer:B

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

By HL and CPCTC, GF = FI, so GI = 2FI = 2(10) = 20.

Answer:

196,836,571.6 miles²

Step-by-step explanation:

the earth is shaped like a sphere. the surface area of the earth can be determined by calculating the surface area of a sphere

surface area of a sphere = 4πr²

π= 3.14

r = 7,917.5 / 2 = 3958.75 miles

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

4 x 3.14 x 3958.75² = 196,836,571.6 miles²

Answer:

3.14

Step-by-step explanation:

Because you know it's the right answer.

Given:

The table of value and y is inversely proportional to square of x.

To find:

The value of c and d.

Solution:

It is given that y is inversely proportional to square of x. So,

[tex]y\propto \dfrac{1}{x^2}[/tex]

[tex]y=k\dfrac{1}{x^2}[/tex]               ...(i)

Where, k is the contant of proportionality.

From the given table it is clear that [tex]y=4[/tex] and [tex]x=3[/tex]. Putting these values in (i), we get

[tex]4=k\dfrac{1}{3^2}[/tex]

[tex]4=\dfrac{k}{9}[/tex]

[tex]4\times 9=k[/tex]

[tex]36=k[/tex]

Putting [tex]k=36[/tex] in (i), we get

[tex]y=36\dfrac{1}{x^2}[/tex]

[tex]y=\dfrac{36}{x^2}[/tex]             ...(ii)

Putting [tex]x=5,y=c[/tex] in (ii), we get

[tex]c=\dfrac{36}{(5)^2}[/tex]

[tex]c=\dfrac{36}{25}[/tex]

Putting [tex]x=d,y=2[/tex] in (ii), we get

[tex]2=\dfrac{36}{d^2}[/tex]

[tex]d^2=\dfrac{36}{2}[/tex]

[tex]d^2=18[/tex]

Taking square root on both sides, we get

[tex]d=\pm \sqrt{18}[/tex]

[tex]d=\pm 3\sqrt{2}[/tex]

Therefore, the required values are [tex]c=\dfrac{36}{25}[/tex] and [tex]d=\pm 3\sqrt{2}[/tex].

Answer:

8.238

Step-by-step explanation:

it might not be right, but it was not fast either XDDD

dang, i took to long to tell u

:)

Answer:

ASA

Step-by-step explanation:

In given triangle

Line BC = Line QR

Angle ABC = Angle PQR

Angle ACB = Angle PRQ

Computation:

Angle ABC = Angle PQR (Angle)

Line BC = Line QR (Side)

Angle ACB = Angle PRQ (Angle)

So,

ΔABC ≅ ΔPQR

By Angle Side Angle property

ASA

Answer:

The solution for f(x) = g(x) are;

x = 1 and x = -1

Step-by-step explanation:

The given equations for the functions, g(x) are;

[tex]f(x) = \dfrac{1 + 2\cdot x}{x}[/tex]

g(x) = 2 + x

The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;

When f(x) = g(x), we have;

[tex]\dfrac{1 + 2\cdot x}{x} = 2 + x[/tex]

By cross multiplication, we have;

1 + 2·x = x × (2 + x) = 2·x + x²

∴ x² + 2·x - 2·x - 1 = 0

x² - 1 = 0

(x - 1)·(x + 1) = 0

x = 1, or x = -1

f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1

Therefore, the solution for f(x) = g(x) are;

f(x) = g(x) = 3 or 1 where x = 1 and x = -1.

Answer: a , b

Step-by-step explanation:

Answer:

[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]

Step-by-step explanation:

To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,

[tex]a^2+b^2=c^2\\[/tex]

Substitute,

[tex]a^2+40^2=47^2\\[/tex]

Simplify,

[tex]a^2+1600=2209\\[/tex]

Inverse operations,

[tex]a^2=609[/tex]

[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]

Answer:

b = 9 mm

Step-by-step explanation:

Using Pythagoras; identity in the right triangle

b² + 40² = 41²

b² + 1600 = 1681 ( subtract 1600 from both sides )

b² = 81 ( take the square root of both sides )

b = [tex]\sqrt{81}[/tex] = 9 mm

Answer:

Sin < A is 4 / 5

Step-by-step explanation:

sin = Opposite side / Hypotenuse side

sin = 8 / 10

sin = 4 / 5

Answer:

*cough**cough* Ms. Roth?

Answer:

126

Step-by-step explanation:

6 (14 + 7)

6 (21)

126

Answer:

it depends on the size and angles that are given

SSS means side side side

SAS means side angle side

ASA means angle side angle

AAS means angle angle side

Answer:

Solution given:

sin 47=opposite/hypotenuse

Sin 47=x/18

x=sin47*18

x=13.16ft

Answer:

ammaamakamamMN8181(18736

Step-by-step explanation:

88271(1(1+1+382(2(#!#

Answer:

96

Step-by-step explanation:

120/1.25=96

Noah needs to sell 96 slices of pizza to earn $120.

Answer:

gradient of horizontal slope is 0

Answer:

AB/ PQ = BC/QR

Step-by-step explanation:

In similar triangles, ratio of corresponding sides are equal.

So, [tex]\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}[/tex]