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]
2 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]2 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
A small college has 36 math majors, 78 engineering majors , and 156 business majors in its graduate programs. What’s is the rati
Sholpan [36]

The answer is E/M+E+B or 36/270 = 4/30 = 2/15 ≈ 0.13

5 0
2 years ago
For each relation, decide whether or not it is a function.<br>​
katrin [286]

Answer:

Step-by-step explanation:

Relation 1 is a function

Relation 2 is not a function

Relation 3 is a function

Realation 4 is not a function

7 0
2 years ago
HELP PLEASE Sam and George both worked hard over the summer. Together they earned a total of $525. George earned $75 more than S
ZanzabumX [31]

Answer:   Sam = $225      George = $300

<u>Step-by-step explanation:</u>

NOTES:

Sam: s

George: g = s + 75

Together: s + g = 525


a.

The two equations that can be created are "George" and Together"

The system is: \left \{ {{\text{g = s + 75}} \atop {\text{s + g = 525}}} \right.

b.

see attached graph

c.

The intersection of the two lines is at (225, 300).  Since Sam represented the x-axis and Georege represented the y-axis, then Sam = $225 and George = $300.


BONUS:

This system can also be solved algebraically using the substitution method.

Replace "g" with "s + 75" into the second equation:

s + (s + 75) = 525

2s + 75 = 525

2s = 450

 s = 225

Next, input the s-value into the George equation to solve for g:

g = s + 75   = (225) + 75   = 300

5 0
2 years ago
Which expression is equivalent to 1/27 ( 1 over 27 ) ?
harkovskaia [24]

Answer:

Option D

Step-by-step explanation:

Option A:

(3)¹ × (3)⁻¹⁰   =  (3)⁽¹⁻¹⁰⁾   = 3⁹

= 4\frac{1}{3^9}

= 4\frac{1}{19683}

Option B :

(3)⁻¹ × (3) ¹⁰   = 3⁽¹⁰⁻¹⁾

= 3⁹

= 19683

Option C :

(3⁻⁴) × (3)⁷   = 3⁽⁷⁻⁴⁾

               = 3³

Option D :

3⁴ × 3⁻⁷ = 3⁴⁻⁷

= 3⁻³

=  4\frac{1}{3^3}

= 4\frac{1}{27}

Therefore, option D is the answer.

3 0
3 years ago
Read 2 more answers
What is 232and1/4-129and7/8?
Elanso [62]
232 \frac{1}{4} - 129 \frac{7}{8} 
The answer is: 102  \frac{3}{8}
5 0
2 years ago
Other questions:
  • Jonathan makes $27 per hour and works 25 hours per week. Every week, he has to sell 20 items. If he sells more than 20 items in
    8·2 answers
  • An airplane travels 1,800 miles from Los Angeles to Chicago in 3.6 hours, going with the wind. The return trip takes 4 hours and
    15·1 answer
  • an electronic store had a 20% off sale. If a stareo originally cost $125, how much did the stareo cost during the sale?
    9·1 answer
  • Angle 0 is in the second quadrant, and sin 0=3/5
    15·1 answer
  • How to turn standard form into intercept form
    6·1 answer
  • You have bought a PS5 for your cousin's birthday. You had $555.90. when you bought it. The PS5 was $254.50. How Much Money did y
    8·1 answer
  • If a = 6 and c = 15, what is the measure of ∠A? (round to the nearest tenth of a degree) Q: A: A) 21.8° B) 22.7° C) 23.6° D) 66.
    9·1 answer
  • Please help will mark brainliest..!
    5·1 answer
  • What is the rhyme scheme of this poem?
    9·2 answers
  • Which ordered pair represents a point that is a solution of the equation y = −1/2x and therefore, lies on the graph of this func
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!