Write the equation in slope-intercept form of the line that has a slope of 6 and contains the point (1, 1)

Answers

Answer 1
Answer: m=6 , \ \ \ (1, 1) \n \nTo \ find \ our \ equation \ we \ will \ use \ the \ formula: \n \n y - y _(1) = m(x - x _(1)), wherem \ is \ the \ slope \ and \ (x _(1), y _(1)) \ is \ the \ point \n \nm=6 , \ \ x_(1)=1 , \ \ y_(1) = 1\n\ny - 1 = 6(x-1)\n\ny-1=6x -6 \n\ny=6x-6+1\n\ny=6x-5
Answer 2
Answer: y=ax+b 
slope is 6 so y=6x+b
point is putting to y=6x+b
1=6*1+b
b=-5
y=6x-5

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A delivery driver earns $221 for 17 hours of work. Assuming he is paid by the hour, how much will he earn in 12 hours?

Answers

Answer:

156

Step-by-step explanation:

221/17=13

13*12=156

Answer:

$156

Step-by-step explanation:

221/17=x/12

221*12=17x

2652=17x

156=x

Divide 6/13 by 6/12 .

Answers

6/13÷6/12=
6/13×reciprocal of 6/12=
6/13×12/6=
6 will get cancelled and so remaining...12/13=0.92307 or. 92

What is the equation of the line perpendicular to 2x − 5y = −35 that contains the point (10, 4)?

Answers

perpendicular has slope that multiplies to -1 in other sloope

thsi one

2x-5y=-35
-5y=-2x-35
y=2/5x+7
slope=2/5
2/5 times -5/2=-1
y=-5/2x+b
findn b
(10,4)
(x,y)
4=-5/2(10)+b
4=-25+b
21=b
y=-5/2x+21
2y=-5x+42
5x+2y=42
I left the equation in the gradient-intercept form which is just the form where the 'y' variable in the equation is with a coefficient of 1.... Hope you can see the picture though.

Simplify 3x times 1/x to the -4 power times x to the -3 power

Answers

Answer:

  3x²

Step-by-step explanation:

3x\cdot(1)/(x^(-4))\cdot x^(-3)=3x^((1-(-4)-3))=3x^2

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The applicable rules of exponents are ...

x^ax^b=x^(a+b)\n\n(1)/(x^(-a))=x^a

Answer:

3x^2.

Step-by-step explanation:

3x * (1/x)^-4 * x^-3

= 3x * x^4 * x^-3

= 3x * x

= 3x^2.

Which polynomial can be simplified to a difference of squares? 10a2 + 3a – 3a – 16 16a2 – 4a + 4a – 1 25a2 + 6a – 6a + 36 24a2 – 9a + 9a + 4

Answers

16a² - 4a + 4a - 1 can be simplified to a difference of squares:

16a² - 4a + 4a - 1 =
16a
² - 1 =
(4a)² - 1² = 
(4a-1)(4a+1)

Answer:

2.16a^2-4a+4a-1

Step-by-step explanation:

We have to find the polynomial can be simplified to a difference of squares.

1.10a^2+3a-3a-16

Combine like terms

10a^2-16

10 in 10a^2 is not a perfect square number  because when a number end with one zero then the number is not perfect square number.

Therefore, it can not be simplified to a difference of squares.

2.16a^2-4a+4a-1

16a^2-1

Combine like terms

(4a)^2-(1)^2

Hence, the polynomial can be simplified as difference of squares.

3.25a^2+6a-6a+36

Combine like terms

25a^2+36

(5a)^2+(6)^2

Hence, the polynomial can not be simplified as  difference of squares because the polynomial can be  simplified as sum of squares.

4.24a^2-9a+9a+4

Combine like terms

24a^2+4

24a^2+(2)^2

24=2* 2* 3* 2

24 is not  a perfect square number because  when factorize 24 then 2 and 3 are not paired.

Hence, the polynomial can not be simplified as difference of squares.

Lane saved $8 by bying her video game on sale.if the game was on sale for 25% off hte original price, whats the original price of the game

Answers

Well if she saved $8 for buying it on 25% off, and since 25% = 25/100 = 1/4, you do 8/(1/4) = 8(4) = 32