MATHEMATICS MIDDLE SCHOOL

Rewrite the linear function 5x+ 1/3y = -2 in slope intercept form

Answers

Answer 1

Answer:

Answer:

y = -15x - 6

Step-by-step explanation:

Answer 2

Answer:

Final answer:

To rewrite the function 5x + 1/3y = -2 in slope-intercept form, we first isolate 'y' and then multiply by 3 to get y = -15x -6.

Explanation:

The given linear function is 5x + 1/3y = -2. To rewrite this in slope-intercept form, i.e., y = mx + b, where m is the slope and b is the y-intercept, we apply some algebraic manipulations:

First, let's isolate 'y' on one side of the equation. Subtracting 5x from both sides, we get 1/3y = -5x -2.
Next, multiply each side by 3 to fully isolate 'y'. This gives y= -15x -6 which is the linear function in slope intercept form.

The process we just followed is called converting a linear equation to slope-intercept form.

Learn more about Linear Function Conversion here:

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Answers

17). 3x + 1 < 10

Subtract 1 from each side: 3x    < 9

Divide each side by 3 : x < 3

18).    (x) (y) - 3

x = -2
y = -4 (-2) (-4) - 3

   =    ( 8 ) - 3

   = 5

17.) x<3
so we started out with our equation below
3x + 1 < 10 in order to find x we have to get it alone..................so lets subtract the 1 - 1 < - 1 from both sides
awesome it cancels out on the left hand side. and the right side of the equation is now 9. lets rewrite what our equation looks like now.
3x < 9 from here its simple we divide 3 by both sides to get x alone
/3 /3 the 3s on the left side are canceled out now. lets solve the rest:)
x < 3
your answer is x is less than 3 :)

18.)now for this equation we just need to plug in our value for x and y
yx - 3 is our equation so what would we do if we knew what x and y were?
they give us the numbers x = -2 and y = -4
so lets plug them in with parentheses:)
(-4)(-2) - 3
first lets multiply the -4 and -2 together
-4 x -2 = 8!!
so in their place lets put 8
8 - 3 looks simple now. right?
8 - 3 = 5
your answer to 18 is 5!!
hope this helps you out:)

Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card. What is the probability that he pulls out a 3 first and then pulls out a 2 without replacing them?

Answers

Answer:

3/28

Step-by-step explanation:

Given in the question that,

stack of cards have numbers (1, 1, 2, 2, 3, 3, 3, 4)

Total number of cards = 8

Number of card with 3 on them = 3

Number of card with 2 on them = 2

To find the probability that he pulls out a 3 first and then pulls out a 2, we will multiple the probability of having 3 with 2.

Probability of having 3 = 3/8

Probability of having 2 = 2/7 (without replacing)

3/8 x 2/7 = 3/28

Thus, the answer is 3/28

Answer:3/28

Step-by-step explanation:

Took test got it right

What is 70/6 times 18/4 in simplest form

Answers

70/6 × 18/4

70 * 18/6*4. cross out 18 and 6.

= 70*3/4

= 35 * 2 * 3/ 2*2

= 35*3/2

= 105/2

= 52.5

OR

52 1/2.

70/6*18/4 = 105/2=52.5 52.5= $\boxed{32 (1)/(2)} \n$

Monica bought 2 drinks and 3 bags of popcorn for $22. Her dad bought 4 drinks for $20. How much is each drink and bag of popcorn? One equation looks like:2x + 3y = 22
Find the other equation and solve the system.