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3 years ago

Which equation represents a line that has a slope of 1/3 and passes through point -2, one

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

8 0

Answer: y= 1/3 x + 5/3

Step-by-step explanation:

1= 1/3(-2) + b where b is the y intercept

1= -2/3 + B

+2/3 +2/3

B = 5/3

so we know the slope and the y- intercept

y= 1/3x + 5/3 check: 1=1/3(-2) +5/3

1 =1

Komok [63]3 years ago

8 0

Slope intercept form: y = mx + b

m = slope

b = y-intercept

Since we know the slope and one point, we can solve for the y-intercept.

y = 1/3x + b

1 = 1/3(2) + b

1 = 2/3 + b

1 - 2/3 = 2/3 - 2/3 + b

1/3 = b

Now, put the final equation together.

y = 1/3x + 1/3

Best of Luck!

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Factor 72y + 108z to identify the equivalent expressions

ra1l [238]

36(2y+3z) and 12(6y+9z)

4 0

2 years ago

Solution for 3^3x=9^x+4

Aliun [14]

3^3+9=77 if I'm wrong I'm sorry I just guess

3 0

2 years ago

Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the

Paha777 [63]

Answer:

The answer is Tonya's phone had the greater initial trade-in value.

Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.

Step-by-step explanation:

Given

Tonya

$f(x) = 490 * 0.88^x$

Leo

$x \to g(x)$

$0 \to 480$

$2 \to 360$

$4 \to 470$

Solving (a): The phone with greater initial value

The initial value is when x = 0. So, we have:

$f(x) = 490 * 0.88^x$

$f(0) = 490 * 0.88^0$

$f(0) = 490 * 1$

$f(0) = 490$

From Leo's table

$g(0) = 480$

By comparison;

$f(0) > g(0)$

i.e.

$490 > 480$

<em>So: Tonya's had the greater initial trade-in value</em>

Solving (b): The phone with lesser rate

An exponential function is:

$y = ab^x$

Where:

$b \to rate$

For Tonya

$b = 0.88$

For Leo, we have:

$(x_1,y_1) = (0,480)$

$(x_2,y_2) = (2,360)$

So, the equation becomes:

$y = ab^x$

$480 = ab^0$ and $360 = ab^2$

Solving $480 = ab^0$ , we have:

$480 = a * 1$

$480 = a$

$a= 480$

$360 = ab^2$ becomes

$360 = 480 * b^2$

Divide both sides by 480

$0.75 = b^2$

Take square roots

$0.87 = b$

$b=0.87$ -- Leo's rate

By comparison; Leo's rate is slower i.e. 0.87 < 0.88

6 0

2 years ago

How do you solve 5,6,7,8,9 and 10 on 1/10 of

weqwewe [10]

you have it right 5 is 1 you just divide it by 10 again but for #7 and 10 its 8 over 10 and 6 over 10 cause its not in the 10s yet hope i helped

7 0

3 years ago

CALLING ALL EXPERTS, PLEASE HELP ME WITH MY HOMEWORK!! WORTH A LOT OF POINTS AND WILL GIVE BRAINLIEST!!

laiz [17]

Answer:

1= 1 7/8 or 1.875

2= 235.75

3= 10 1/2 or 10.5

4=191.53

5=1 5/12 or 1.4166667

6=239.13

hope this helps

3 0

2 years ago

Read 2 more answers