Rewrite the following polynomial in standard form -x2 + 1 + 2x

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

hammer [34]

Answer: option d.

Step-by-step explanation:

If y varies directly as x and z, the form of the equation is:

$y=kxz$

Where k is the constant of variation.

If y=4 when x=6 and z=1 then substitute these values into the expression and solve for k:

$4=k(6)(1)\\4=6k\\k=\frac{4}{6}\\\\k=\frac{2}{3}$

Substitute the value of k into the expression. Then, the equation is:

$y=\frac{2}{3}xz$

To find the value of y when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:

$y=k=\frac{2}{3}(7)(4)$

$y(7,4)=\frac{56}{3}$

5 0

2 years ago

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Determine the rate of change for thw graph: $____ per mile

Ira Lisetskai [31]

Answer:

$2 per mile

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 5)

Point (4, 9)

Step 2: Find slope m

Substitute: $m=\frac{9-5}{4-2}$
Subtract: $m=\frac{4}{2}$
Divide: $m=2$

5 0

2 years ago

What is the solution to this equation?

Fantom [35]

Answer:

x=-17

Step-by-step explanation:

Original Equation;

x+12=-5

The 12 will cross the equal sign so it will become -12. So it's going to be;

x=-5-12

There are two negative number so you add them and when you add them it would still be negative. And you would have to add them because when there are two negative numbers without any other sign you will have to add so it's going to be;

x=-17

This is the final answer!!!

7 0

2 years ago

elijah eats at his favorite restaurant 4 times a week. He buys a sandwich for $8 and a drink for $2.Write an equation that can b

mario62 [17]

If he goes there 4 times a week then $8 plus $2 equals $10 and times $10 by 4 times a week equals $40

So Elijah spends $40 a week at the restaurant

5 0

3 years ago

Read 2 more answers

Make n the subject of the formula

kogti [31]

Answer:

$\mathsf{ \frac{m + 21}{5} = n }$

Step-by-step explanation:

To make "n" the subject of the formula, rearrange the formula so it begins with " n = "

To isolate the variable "n", you need to inverse the other terms on that side of the equation where "n" really is.

=> m = 5n - 21

there's a "-21" next to "5n", inverse of subtraction is addition, so add 21 on both sides of the equation.

=> m + 21 = 5n - 21 + 21

=> m+ 21 = 5n

There's also a 5 attached to n, that means the multiplication of n with 5, the inverse of multiplication is division, so dividing both sides of the equation by 5

$\mathsf{ \frac{m + 21}{5} = n }$

3 0

3 years ago