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Graph the line that contains the point (-3,1) with a slope of 2/3

Answers

Answer 1
Answer:

Answer:

The graph of the line that contains the point (-3,1) with a slope of 2/3.

Step-by-step explanation:

As the line contains the point (-3, 1) with a slop 2/3

Given the slop-intercept form of the line equation

y = mx+b

Here,

  • m = slope
  • b = y-intercept

Substituting the values in the slop-intercept form of the line equation

y = mx+b

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

1 =- 2 + b

switching sides

-2+b=1

b=3

Now Substituting the value of b=3 in the slop-intercept form of the line equation

y = mx+b

y=(2)/(3) x+3

Hence, the line of the equation will be:  y=(2)/(3) x+3

Therefore, the graph of the line that contains the point (-3,1) with a slope of 2/3.

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3.Ms. Taylor is doing an art project with her class. She has a 3 foot piece of ribbon. If she gives each student an eighth of a foot of ribbon, how many students will receive a piece of ribbon

Answers

Answer:

24

Step-by-step explanation:

To solve this problem, first you would need to figure out how many eighths of a foot are in 3 foot. If the pieces she gave away were 1/8 of a foot, 8 pieces would be in 1 foot. Next, multiply 8 by the number of feet there are (3).

8 x 3 = 24

So, 24 students would receive a peice.

Sofia bought a clothes iron that was discounted 15% off of the original price of $35. What was the sale price of the clothes iron?

Answers

Answer:

35 - 0.15 * 35 so it is $29.75

Step-by-step explanation:

I got u

Answer:

$29.75

Step-by-step explanation:

15% = .15

.15 x 35 = 5.25

35 - 5.25 = 29.75

Is the blue figure a rotation of the red figure about the orgin?

Answers

Answer:

  yes; 180° CW or CCW

Step-by-step explanation:

Each of the figures is a reflection of the other across the origin. Such a reflection is equivalent to rotation 180° about the origin. 180° CW is the same as 180° CCW, so the direction could be either one.

Comparing the images, the correct option is option d

Yes, 180 degrees clockwise or counterclockwise about the origin

What is 180 deg clockwise rotation

A 180-degree clockwise rotation means that a point, shape, or object is rotated 180 degrees in the clockwise direction around a central point. In the Cartesian coordinate system:

For a point (x, y), a 180-degree clockwise rotation swaps the x and y coordinates and negates both. So, the new coordinates would be (-x, -y).

The resultant image is the same the difference is the way it rotates hence we choose option d

Learn more about 180 deg clockwise rotation

brainly.com/question/30359511

#SPJ2

Find the mD
55
35
В

Answers

Not answere just need point srry

QuestionEnter the exponential function using t (for time) as the independent variable to model the situation. Thenfind the value of the function after the given amount of time.A new savings account is opened with $400 and gains 3.5% yearly for 5 years.The exponential function that models the situation is y = MyAfter 5 years, the savings account has $

Answers

Since, it is an exponential function, thus this is a compound interest problem;

Where; the function is given as;

\begin{gathered} A(t)=P(1+r)^t \n \text{Where A(t)= amount in the savings account at a time t} \n P=ca\text{ pital invested} \n r=\text{rate } \n t=\text{ time} \end{gathered}

Thus, the function required is;

\begin{gathered} A(t)=400(1+(3.5)/(100))^t \n A(t)=400(1.035)^t \end{gathered}\begin{gathered} y=400(1.035)^t \n \text{Where t is the time} \end{gathered}

After 5 years,

\begin{gathered} A(5)=400(1.035)^5 \n A(5)=400(1.1877) \n A(5)=475.07 \end{gathered}

The amount in the savings account after five years is $475.07

2. When a < b, how is the graph of x > a and x < b
similar to the graph of x > a? How is it different?

Answers

Answer:

• If the equations of a and b are polynomials,it'll be a curve between a and b [ b<x<a]

• If the equations of a and b are linear,it'll be a line between a and b

{ \rm{x > a \: \: and \: \: x < b}} \n \n { \boxed{ \rm{ \: b < x < a \: }}}
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