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2 years ago

Complete the function table. y= 3x + 5

Mathematics

1 answer:

Anika [276]2 years ago

4 0

Hope this helps
-16=y=3•-7+5
5=y=3•0+5
20=y=3•5+5
-4=y=3•-3+5
83=y=3•83+5

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Gabriel went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and

kupik [55]

Answer:

9 bottles of soda and 7 bottles of juice

Step-by-step explanation:

Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.

1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

$x=y+2$

2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.

Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.

In total, there are 35x+10y g of sugar.

All bottles collectively contain 385 grams of sugar, thus

$35x+10y=385$

3. Solve the system of two equations:

$\left\{\begin{array}{l}x=y+2\\ \\35x+10y=385\end{array}\right.$

Substitute the first equation into the second equation:

$35(y+2)+10y=385\\ \\35y+70+10y=385\\ \\35y+10y=385-70\\ \\45y=315\\ \\y=7\\ \\x=7+2=9$

7 0

3 years ago

Read 2 more answers

Please Help!! Math Question!

Anastasy [175]

Answer: a: 13

b: 5

c: 4

d: 12

area: 184

Step-by-step explanation:

8 0

3 years ago

What is the solution of the equation when solved using the quadratic formula?<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B

Artemon [7]

Answer:

$x=\pm2i\sqrt{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Algebra II

Imaginary Numbers: √-1 = i

Step-by-step explanation:

Step 1: Define Equation

x² + 20 = 0

Step 2: Identify Variables

a = 1

b = 0

c = 20

Step 3: Find roots x

Substitute: $x=\frac{-0\pm\sqrt{0^2-4(1)(20)} }{2(1)}$
Exponents: $x=\frac{-0\pm\sqrt{0-4(1)(20)} }{2(1)}$
Multiply: $x=\frac{-0\pm\sqrt{0-80} }{2}$
Subtract: $x=\frac{\pm\sqrt{-80} }{2}$
Factor: $x=\frac{\pm\sqrt{-1} \sqrt{80} }{2}$
Simplify: $x=\frac{\pm4i\sqrt{5} }{2}$
Divide: $x=\pm2i\sqrt{5}$

6 0

2 years ago

The slope of the line that passes through the point (17,20) and (1,-8) is

AlladinOne [14]

Answer:

y = m x + b standard form of equation for straight line\

m = (y2 - y1) / (x2 - x1) = (20 - -8) / 17 - 1) = 28 / 16

m = 7 / 4

8 0

2 years ago

Hallie made 12 quarts of homemade yogurt. She put the yogurt in 34-cup containers. How many containers did Hallie fill?

GarryVolchara [31]

Answer:

1 container and 14 cups

Step-by-step explanation:

We know that 1 quart = 4 cups

therefore, 12 quart = 48 cups

each container has 34 cups

so one container would be full and remaining 48-34 =14 cups can be filled in another container.

3 0

2 years ago