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2 years ago

IM STRUGGLING HELP What is the equation of the line in the form y=Mx+b

Mathematics

1 answer:

Andrej [43]2 years ago

5 0

y=3x+6

Step-by-step explanation:

point 1 (2;12)

point 2 (4;18)

$m = \frac{y2 - y1}{x2 - x1}$

$m = \frac{18 - 12}{4 - 2}$

$m = \frac{6}{2}$

m=3

y=mx+b

sub in a point and gradient

12=3(2)+b

12=6+b

b=6

y=3x+6

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How many solutions exist for the given equation? StartFraction one-half left-parenthesis x plus 12 right-parenthesis equals 4 x

Firlakuza [10]

Answer:

One solution x = 2

Step-by-step explanation:

Given the equation:

$\dfrac{1}{2}(x+12)=4x-1$

Multiply this equation by 2:

$2\cdot \dfrac{1}{2}(x+12)=2\cdot (4x-1)\\ \\x+12=2(4x-1)$

Use distributive property:

$x+12=8x-2$

Combine the like terms:

$x+12=8x-2\\ \\x+12-12=8x-2-12\\ \\x=8x-14\\ \\x-8x=8x-14-8x\\ \\-7x=-14\\ \\7x=14\\ \\x=2$

Thus, this equation has one solution x = 2

7 0

3 years ago

Read 3 more answers

Four students each contribute $12 to buy a pizza, salad, and large soda. How much would each student pay if two more students al

geniusboy [140]

Answer:

Step-by-step explanation:

4 students contribute 12$ Each.

So, total amount becomes 12 x 4 = 48$

If two more students contribute it makes a total of 6 students.
so we now divide the 48$ by 6
48/6=8$

8 0

2 years ago

Equivalent Ratios: 300:800 = 30:

Dima020 [189]

Answer:

30:80

Step-by-step explanation:

Because 300 divided by ten is 30 so 800 divided by ten is 80 :)

4 0

2 years ago

The regular price of a pair of glasses is $90. The glasses are on sale for a discount price of $76.50 What is the percent of the

natima [27]

Answer:

15%

Step-by-step explanation:

$\frac{76.50}{90}=\frac{x}{100}$ Set up a proportion.

$90x=7,650$ Cross-multiply.

$x=85$ Divide both sides by 90.

$100-85=15$ The discounted price is 85% of the regular price so the

discount is 15%.

6 0

4 years ago

Read 2 more answers

Two boys' ages total 24. Four less than six times the younger boy's age equals five more than three times the older boy's age. W

babunello [35]

Hey there!

Let x be boy 1's age, and y be boy 2's age (younger).

Firstly, we know that x+y=24

6y-4=3x+5 <== we have this right here. (using the rules given by the question)

We can use all the equations to help find the answer.

x+y=24

x+y (-y)= 24(-y)

x=24-y

Plug that into x in the equation we made above.

6y-4= 3(24-y)+5

6y-4= 72-3y+5

Add 4 to each side.

6y= 81 -3y

9y=81

y=9

We know the younger boys age is 9.

We can plug that in to find the older one's age.

x+9= 24

x= 15

The boy's ages are 9 and 15.

I hope this helps!

~kaikers

7 0

3 years ago