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2 years ago

Given the Standard Form equation y - 6x = 4

Mathematics

1 answer:

malfutka [58]2 years ago

7 0

Answer: 6 is the slope and 4 is the y-intercept.

Step-by-step explanation:

Based on the question, I feel this is the best way to answer your question. I'm assuming you are in a basic graphing class.

The best, most useful thing for you right now would be to learn slope-intercept form, y = mx + b, where m and b are constants.

Simply add 6x to both sides to get into this form

y = 6x + 4.

In slope-intercept form, m is the slope, and b is the y-intercept. Thus, 6 is the slope and 4 is the y-intercept.

Hope it helps and lmk if you need more <3 :)

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What value of x satisfies this equation? log(5x+20)=2

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

Given expression:

log(5x + 20) = 2

From the given expression, we are to find x;

Using the rule of logarithm, we can solve this problem;

logₐb = C

b = Cᵃ

So;

log(5x + 20) = 2

this is to base 10;

5x + 20 = 10²

5x = 100 - 20

5x = 80

x = 16

5 0

2 years ago

Read 2 more answers

For how many three digit numbers (100 to 999) is the sum of the digits even? (For example, 343 has an even sum of digits: 3 + 4

n200080 [17]

Answer:

there are 425 numbers of three digits whose the sum of the digits is even.

Step-by-step explanation:

Option 1:

It is necessary to accomplish one of the next conditions:

(1) all of the digits are even.

(2) exactly 2 of the digits are odd

Then, for the first condition:

4x5x5 = 100 -> this is because the first digit can not be 0.

for the second condition:

(3C1)*5*5*5-1*5*5 =3*125-25=350

where 3C1 is a combination. The 3C1 determines which of the three digits is even, and it is necessary to subtract the numbers under 100 with the other 2 digits odd.

So, there are 450 numbers of three digits whose the sum of the digits is even.

Option 2:

there are 900 three digit number and 5*5*5 =125 has 3 odd numbers and 5*5*5+4*5*5+4*5*5=325 has 1 odd number, so there are 450 numbers of three digits whose the sum of the digitis is odd, so 900-450 whose the sum of the digits is even.

4 0

3 years ago

Write the quadratic function in standard form. y=2(x - 3)² +9

xz_007 [3.2K]

Answer:

y = 2x^2 - 12x + 27

Step-by-step explanation:

Step 1: Distribute the power

y = 2(x - 3)² + 9

y = 2(x^2 - 6x + 9) + 9

y = 2x^2 - 12x + 18 + 9

y = 2x^2 - 12x + 27

Answer: y = 2x^2 - 12x + 27

5 0

2 years ago

For each situation below, write the equation of the line and explain how you can tell.

sveticcg [70]

Answer:

see below

Step-by-step explanation:

a. Has a slope of 2 and passes through (10,17)

Using the slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 2x+b

Substitute the point into the equation

17 = 2(10)+b

17 = 20+b

Subtract 20 from each side

17-20 =b

-3 =b

y = 2x-3

b. passes through (1,-4) and (2,-5)

First find the slope

m= (y2-y1)/(x2-x1)

= (-5- -4)/(2-1)

= (-5+4)/(2-1)

= -1/1

= -1

Using the slope intercept form

y = -x+b

Substitute a point into the equation

-4 = -1(1) +b

-4 = -1+b

Add 1 to each side

-3 = b

y = -x+3

6 0

3 years ago

Classify the following system of equations.

zubka84 [21]

Answer:

B) consistent, dependent

Step-by-step explanation:

The given system is

45x - 30y = -90

-12x + 8y = 24

Let us make y the subject in both equations to get:

Top equation

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

Bottom equation

$y = \frac{3}{2}x + 3$

We can see that both equations are identically the same.

There is going to be infinitely many solutions.

We say the system is consistent and dependent.

The correct choice is B

4 0

3 years ago