Mathematics, 18.02.2020 17:54, sselect1

A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 8 grams and the amount of gold in each necklace is 24 grams. The jeweler made a total of 13 bracelets and necklaces using 168 grams of gold. Write a system of equations that could be used to determine the number of bracelets made and the number of necklaces made. Define the variables that you use to write the system.

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This question is based on system of equations.The system of equations that is used to determine the number of bracelets made and the number of necklaces made is x + y = 13 and 8x + 24y = 168.

Given:

The amount of gold in each bracelet is 8 grams and the amount of gold in each necklace is 24 grams. The jeweler made a total of 13 bracelets and necklaces using 168 grams of gold.

According to the question,

Let x represent the number of bracelets and y represent the number of necklaces that the jeweler made.

The jeweler made a total of 13 bracelets. This means that

⇒ x + y = 13

It is given that, the amount of gold in each bracelet is 8 grams and in each necklace is 24 grams. The jeweler made a total of 13 bracelets and necklaces using 168 grams of gold. This means that,

⇒ 8x + 24y = 168

Therefore, the system of equations that is used to determine the number of bracelets made and the number of necklaces made is x + y = 13 and 8x + 24y = 168.

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answered: 22nathanieltimms

The system of equations that could be used to determine the number of bracelets made and the number of necklaces made is

x + y = 13

8x + 24y = 168

Step-by-step explanation:

Let x represent the number of bracelets that the jeweler made.

Let y represent the number of necklaces that the jeweler made.

The jeweler made a total of 13 bracelets. This means that

x + y = 13

The amount of gold in each bracelet is 8 grams and the amount of gold in each necklace is 24 grams. The jeweler made a total of 13 bracelets and necklaces using 168 grams of gold. This means that

8x + 24y = 168

answered: Guest

see attached

step-by-step explanation:

given the function as;

$f(x)=2x^3-7x^2+2x+3$

write the equation replacing f(x) with y

$y=2x^3-7x^2+2x+3$

form and fill a table containing values of y with corresponding values of x

you can take a range for values of x as -3≤x≤3

solving for x=-3

$f(-3)=2*-3^3-7*-3^2+2*-3+3=2*-27-63+-6+3=-54-63-6+3y=-120$

for x=-2

$f(-2)=2*-2^3-7*-2^2+2*-2+3=2*-8-28+-4+3=-16-28-4+3=-45$

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values of x and obtain the following graph

answered: Guest

see explanation

step-by-step explanation:

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

remove brackets and collect like terms

13 - $\frac{3}{2}$ r - 1 + r

= 12 - $\frac{1}{2}$ r

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

remove brackets and collect like terms

= 7r - $\frac{3}{2}$ - $\frac{2}{3}$ - 6r

[- $\frac{3}{2}$ - $\frac{2}{3}$ = - $\frac{9}{6}$ - $\frac{4}{6}$ = - $\frac{13}{6}$ ]

= r - $\frac{13}{6}$

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