Solve each equation for the given variable -2x+5y=12 for y
'

Answers

Answer 1
Answer: so basically get 1 of y on one side so
-2x+5y=12
add 2x to both sides
5y=12+2x
divide both sides by 5
y=(12+2x)/5

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The manager of a popular restaurant wants to know what types of vegetarian dishes people prefer to eat. Which sample would provide the most accurate data?10 friends at a cookoutthe first 30 people leaving the local hamburger standa random group of 40 people on the streeta random group of 5 people at a grocery store

The map below shows the length of a proposed land bridge at Phil Hardberger Park. The length of the land bridge is represented by PHin the map below.
P(2,55)
H(32, 15)
On the map, each unit represents 1 yard. To the nearest yard, what is the actual length of the land bridge from P to H?
A 50 yards
B. 150 yards
C. 78 yards
D. 234 yards

Answers

Answer:

A; the actual length of the land bridge from P to H is 50 yards

Step-by-step explanation:

Here in this case, given the coordinates of P and H, we want to calculate the actual length of the distance between the two points.

Mathematically, to calculate this distance, we make use of the distance formula;

D = √(x2-x1)^2 + (y2-y1)^2

In this case, (x1,y1) = (2,55) while (x2,y2) = (32,15)

Substituting these values

D = √(32-2)^2 + (15-55)^2

D = √(-30)^2 + (-40)^2

D = √(900 + 1600)

D = √(2,500)

D = 50 units

Now, we know that each units represent 1 yard, thus 50 units will represent 50 * 1 = 50 yards

Let y be a function of x such that 2x-3y=6. What is the rate if change of y with respect to x?

Answers

2x - 3y = 6
first, isolate y:
-3y = -2x + 6
y = (2/3)x - 2
This is a linear function in standard form, so we know that the slope (in this case the rate of change of y in respect to x) is 2/3

The sum of three consecutive numbers is 84. what is the largest of these numbers? 26 27 28 29

Answers

Answer:

The largest number is 29.

Step-by-step explanation:

Let the numbers be = x , x+1 , x+2

As given, their sum is 84, we can write as:

x+x+1+x+2=84

=> 3x+3=84

=> 3x=84-3

=> 3x=81

x = 27

So, x+1= 27+1=28

And x+2 = 27+2=29

Hence, the largest number is 29.

The largest of the three consecutive numbers whose sum equals to 84 is 29.

Which of the binomial below is a factor of this trinomial? 2x^3-18x^2+40xa) 2x+5
b)x+5
c)x-5
d)2x-5

Answers

2x^3 - 18x^2 + 40x

2x(x^2 - 9x + 20)

2x(x - 5)(x - 4)

Answer is c) x - 5
2x^3 - 18x^2 + 40 \n \n ( 2x:common);\n => 2x(x^2 - 9x + 20) \n \n (factoring:x^2-9x+20)\n\n =>(2x)(x-5)(x-4) \n \n => Answer:(C):(x-5)

The binomial expression (x+2) (x+3) can be rewritten by using the distributive laws as x(x+3) + 2(x-3)x(x+2) - 3(x+2)
x(x+3) + 2(x+3)
x(x+3) + 2(x+3)

Answers

Answer:

my answer is x(x+3) + 2(x - 3)

Answer:

thanks for the information

Step-by-step explanation:

Jesse was walking at 1 m/s and speeds up to 5 m/s in 2 seconds. What is Jesse's acceleration?

Answers

a=(v_f - v_i)/(\delta t) = (5m/s - 1m/s)/(2seconds) = (4m/s)/(2seconds)=2m/s^(2)