1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olchik [2.2K]
3 years ago
10

Misty correctly determined the equation of the linear function represented by the table of values below to be y = negative 2 x +

9 in slope-intercept form by using the ordered pairs (1, 7) and (2, 5).
Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

we can verify that the determined equation is the same as the equation determines by Misty, hence, we conclude that Misty had correctly determined the equation of the linear function.

Step-by-step explanation:

As Misty determined the equation of linear function:

y=-2x+9

We need to check whether she has got the correct equation or not.

As the linear equation passes through the points  (1, 7) and (2, 5).

Finding the slope:

The slope between two points  (1, 7) and (2, 5)

\left(x_1,\:y_1\right)=\left(1,\:7\right),\:\left(x_2,\:y_2\right)=\left(2,\:5\right)

m=\frac{5-7}{2-1}

m=-2

As we know the point-slope form is:

y-y_1=m\left(x-x_1\right)

So, the equation of the line will be:

y-y_1=m\left(x-x_1\right)

y-5=-2\left(x-2\right)

Add 5 to both sides

y-5+5=-2\left(x-2\right)+5

y=-2x+9

From the above calculation, we can verify that the determined equation is the same as the equation determines by Misty, hence, we conclude that Misty had correctly determined the equation of the linear function.

You might be interested in
Why is "You are a ray of sunshine" a metaphor? Start your answer with 'You are a ray of sunshine" is a metaphor because a simile
PSYCHO15rus [73]

Answer:

You are a ray of sunshine is a metaphor because a simile has to have like or as in it.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Among all pairs of numbers whose difference is 20, find a pair whose product is as small as possible. what is the minimum produc
Elza [17]

Answer:

-100

-10, 10

Step-by-step explanation:

Let the smaller number be x.

Then the larger number is x + 20.

The product is x(x + 20).

Now you can write the function

y = x(x + 20)

y = x^2 + 20x

Take the first derivative of y with respect to x.

y' = 2x + 20

Set the first derivative equal to zero to find the x value for the minimum value of the function.

2x + 20 = 0

2x = -20

x = -10

The minimum value of the function occurs at x = -10. -10 is one of the two numbers.

y = x^2 + 20x

For x = -10,

y = (-10)^2 + 20(-10)

y = 100 - 200

y = -100

The minimum value of the product is -100.

x = -10

x + 20 = -10 + 20 = 10

The numbers are -10 and 10.

If you have not learned derivatives yet, then plot the function

y = x^2 + 20x

Now look at the graph and find the minimum y value and the x value at which it occurs.

The minimum y value is -100. That is the minimum product you are looking for.

The x value of the minimum function value is x = -10.

Then x + 20 = -10 + 20 = 10.

The numbers are -10 and 10.

4 0
3 years ago
2x^(2/3)+5x^(2/3)=686
mrs_skeptik [129]

Answer:

Step-by-step explanation:

4 0
3 years ago
There are 6 roses in a vase of 11 flowers. The rest are daisies. What is the ratio of all flowers in the vase to daisies (PICTUR
lara [203]

Answer:

a) 6:5

b) 11:5

(Daisies: 11-6=5)

5 0
2 years ago
PLLLLZZZZZZ HELLLPppppp
Juli2301 [7.4K]

Answer:

w+4 is bigger!

Step-by-step explanation:

0 is worth nothing

3 0
2 years ago
Read 2 more answers
Other questions:
  • 1) What is the standard form of the equation of the circle in the graph?
    5·1 answer
  • Henry has 12 diamonds of the same shape and size in a bowl.how many diamonds represent 3/4 of the bowl
    13·1 answer
  • 25. The sides of the base of the square prism drawn below have been doubled, but its height has not been changed. Determine the
    15·2 answers
  • A banner needs to be enlarged from its original format. The dimensions of the original are 4 cm tall by 25 cm wide.The enlarged
    6·1 answer
  • A forestry researcher wants to estimate the average height of trees in a forest near Atlanta, Georgia. She takes a random sample
    7·1 answer
  • I need help with 11.
    8·1 answer
  • Jade can choose 1 pair of pants and one shirt to wear today. Here are her choices.
    5·1 answer
  • State if the pair of triangles are similar. If so, state how you know they are similar and
    6·1 answer
  • . You want to buy a book worth Php 220.50. You can buy it only by making a sacrifice of not buying a soft drink every day. If so
    14·2 answers
  • Carl buys 1.5 pounds of grapes. The
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!