All categories

3 years ago

Which graph represents the equation y=2/3x−2?

Mathematics

2 answers:

irinina [24]3 years ago

8 0

Answer:

option D is the answer

Step-by-step explanation:

the -2 tells you where the y intercept is and the 2/3x tells you what the slope of the line is.

Step2247 [10]3 years ago

6 0

Answer:

D is the correct answer

You might be interested in

H(x)=1/8x^3-x^2<br><br> Over which interval does h have a positive average rate of change?

lara31 [8.8K]

Answer:

$(-\infty,0)\cup(\frac{16}{3},\infty)\\That \ is x\frac{16}{3}$

Step-by-step explanation:

$h(x)=\frac{1}{8}x^{3} -x^{2} \\\\Differentiate \ h(x) \ with \ respect \ to \ x\\h'(x)=\frac{3}{8}x^{2} -2x$

For positive rate of change $h'(x)>0$

$\frac{3}{8} x^{2} -2x>0\\x(\frac{3}{8}x-2)>0\\\\ When \ x0 \ (multiplication \ of \ two \ positives \ is \ positive)\\\\h'(x)>0 \ when \ x\frac{16}{3} \\\\$

6 0

4 years ago

Help pls. Find the value of x.

sleet_krkn [62]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = 15 °}}}}}$

Step-by-step explanation:

$\sf{x + 30 ° + 100 ° + 3x - 10 ° = 180 °}$

( Sum of angle in straight line )

Collect like terms

⇒ $\sf{4x + 30 ° + 100 ° - 10 ° = 180 °}$

Calculate the sum or difference

⇒ $\sf{4x + 120 ° = 180 °}$

Move 120 to right hand side hand change it's sign

⇒ $\sf{4x = 180 ° - 120 °}$

Subtract 120 from 180

⇒ $\sf{4x = 60 ° }$

Divide both sides of the equation by 4

⇒ $\sf{ \frac{4x}{4} = \frac{60}{4} }$

Calculate

⇒ $\sf{x = 15 °}$

Hope I helped!

Best regards!!

5 0

3 years ago

Read 2 more answers

∠ and ∠ are complementary angles. If ∠ = (12x - 3)° and ∠ = (7x - 2)°, find the<br> ∠.

Lana71 [14]

Answer:

57 °

Step-by-step explanation:

Complementary angles = 90 °

Since, Your angle don't have ∠ [ ] Then Let let "C" and "y"

Thurs, C = 12x- 3 and y = 7x - 2

It is given that angles r and s are complementary angles. Two angles are complementary if they add up to 90 degrees. This means the sum of measures of angle r and angle s must be 90 degrees. So,

c + y = 90

12x - 3 + 7x - 2 = 90

19x - 5 = 90

19x = 95

x = 95/19

x = 5

Using the value of x in expression or r, we get:

c = 12x - 3 = 12(5) - 3 = 60 -3 = 57 degrees.

So measure of angle c is 57 degrees.

Hence, the ∠ is 57 °

[RevyBreeze]

3 0

3 years ago

PLEASE HELP!!!!!!!!!

snow_lady [41]

AB = 14
The angle = 39 degrees

4 0

3 years ago

Read 2 more answers

The perimeter of a rectangular field is 364 yards. If the width of the field is 85 yards, what is its length?

Solnce55 [7]

Answer:

$\huge\boxed{97 yards}$

Step-by-step explanation:

Important Information:

Perimeter of rectangle= $Lenght+Length+width+width$

Method:

The first step to work this out is to multiply the width of 85 by 2, this gives you 170.This is because a rectangle has two sets of equal sides. This means that there two widths.

The next step is to subtract 170 from the perimeter of 364, this gives you 194. This is because the formula for the perimeter of a rectangle is $Lenght+Length+width+width$ . This means that in order to isolate the values of the lenght we must subtract the values of the width.

The final step is to divide the value of 194 by 2, this gives you 97. This is because that is the value for 2*the length. That means in order to work out the value of 1 you would need to divide by 2.

Step By Step:

1) Multiply 85 by 2.

$85*2=170$

2) subtract 170 from 364.

$364-170=194$

3) Divide 194 by 2.

$194/2=97$

4 0

3 years ago