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3 years ago

6. Find the missing OUTPUT value.

Mathematics

1 answer:

matrenka [14]3 years ago

6 0

Answer:

Which table represents a nonlinear function?

X 1

2 3 4

y 3 6 9 12 15 18

X 2 4 6

10 12

y 4 7 10 13 16 19

X -2 -1 0 1

2 3

4 2 1 1.5 0.5

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) What is the solution to the system of equations?

yaroslaw [1]

$\begin{cases} y = -\cfrac{1}{3}x+2\\[1em] y = x + 2 \end{cases}\qquad \implies \stackrel{y}{-\cfrac{1}{3}x+2}~~=~~\stackrel{y}{\cfrac{}{}x + 2} \\\\\\ -\cfrac{1}{3}x=x\implies -x=3x\implies 0=4x\implies \cfrac{0}{4}=x\implies \boxed{0=x} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{y = x + 2\implies y = 0+2\implies }\boxed{y = 2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (0~~,~~2)~\hfill$

4 0

3 years ago

Dante and Mia have a total of 350 pennies in their piggy banks, altogether. After Dante lost half of his pennies and Mia lost on

tatuchka [14]

Answer:

150 pennies were lost altogether

Step-by-step explanation:

Let the initial number of pennies owned by Dante be x pennies

Let the initial number of pennies owned by Mia be y pennies

Mathematically ;

x + y = 350 •••••••(i)

So after losing half, dante will have x/2 pennies left.

Mia lost 1/3 so she will have 2/3y left

So after all the losses, they both had equal amount of pennies

This means that;

x/2 = 2y/3

Cross multiply;

3x = 4y •••••••(ii)

Let’s solve both equations simultaneously;

From i , x = 350-y

Substitute this into equation ii

3(350-y) = 4y

1050-3y = 4y

7y = 1050

y = 1050/7

y = 150

since x = 350-y

x = 350-150 = 200

Now Dante loss x/2 = 200/2 = 100

Mia lost 1/3y = 1/3 * 150 = 50

Total pennies lost = 100 + 50 = 150

7 0

3 years ago

The volume of a right cylinder is 2,000π cubic feet, and the height is 20 feet. What is the length of the radius in feet?

laila [671]

Answer:

r = 10 ft

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radius
h is height

Step-by-step explanation:

Step 1: Define

Identify variables

Volume V = 2000π ft³

Height h = 20 ft

Radius r = unknown

Step 2: Solve for r

Substitute in variables [Volume of a Right Cylinder Formula]: 2000π ft³ = πr²(20 ft)
[Division Property of Equality] Isolate r term: 100 ft² = r²
Rewrite: r² = 100 ft²
[Equality Property] Square root both sides: r = 10 ft

8 0

3 years ago

Fractions or decimals that stop are known as ______ numbers.

wariber [46]

Answer:

Rational

Step-by-step explanation:

Two broad categories of Real Numbers is:

Rational Numbers
Irrational Numbers

Rational numbers are those which can be written in the form of a fraction. When written in form of a decimal, these numbers terminate after few decimals or have a pattern that runs throughout the decimals.

Irrational numbers cannot be written in form of fractions. When written in the form of a decimal numbers, these numbers do not terminate(end) and do not show any pattern.

So, from the above discussion, we can conclude that the answer in the blank will be Rational. Fractions or decimals that stop are known as Rational numbers.

5 0

3 years ago

Read 2 more answers

Solve the equation. 4−13=2+9

Yakvenalex [24]

The answer is:

4-13=2+9

-9=11

x= -11/9

x= -1 2/9

3 0

4 years ago