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Zolol [24]
3 years ago
5

Write an equation of the line that has a slope of -5 and a y intercept of 4 in slope intercept form.

Mathematics
2 answers:
maks197457 [2]3 years ago
5 0
Y = mx+b
m = slope
b = y-intercept

Ans: y = -5x + 4
sp2606 [1]3 years ago
3 0
Y=-5x+4
Hope this helps:)
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mr.masons height is at most 4 inches more than twice his daughters height.Mr.masons height is 70 inches
nadezda [96]
M < = 2d + 4
m = 70

70 < = 2d + 4
70 - 4 < = 2d
66 < = 2d
66/2 < = d
33 < = d...or d > = 33

so the daughter is at least 33 inches

4 0
3 years ago
Read 2 more answers
Como colorear 4 enteros
Delicious77 [7]

Answer:  

Esta no es una pregunta, pero si la reformula, podría ayudar

Step-by-step explanation:

4 0
3 years ago
Write an expression to represent each of the following sketches. Then give the value of each sketch.
zysi [14]

The sketches are illustrations of inequalities

  • <em>The first sketch is: </em>-2 \le x \le 5<em>.</em>
  • <em>The second sketch is: </em>3 \ge x \ge -4<em />

<em />

<u />

<u>Sketch A</u>

In sketch A, we have the following observations:

  • <em>The arrow faces left (this implies less than)</em>
  • <em>The dots on -2 and -5 are closed dots (this implies less than or equal to).</em>

<em />

Hence, the inequality is:

-2 \le x \le 5

<u />

<u>Sketch B</u>

In sketch B, we have the following observations:

  • <em>The arrow faces right (this implies greater than)</em>
  • <em>The dots on -4 and 3 are closed dots (this implies greater than or equal to).</em>

<em />

Hence, the inequality is:

3 \ge x \ge -4

Read more about inequalities at:

brainly.com/question/20383699

4 0
3 years ago
Explain what m and b in the equation y=mx b tell you about the graph of the line with that equation
almond37 [142]
So,

y = mx + b is the slope-intercept form.

"m" represents the slope.  It will allow you to find additional points on the specified line by determining the "rise" and the "run."  The "rise" means vertical movement, and the "run" means horizontal movement.

"b" represents the y-intercept, which is the point on the line where x = 0.  When x = 0, the line crosses, or intercepts, the y-axis.
5 0
3 years ago
1.Write an exponential function to represent the spread of Ben's social media post.
Licemer1 [7]

The rate of growth of the exponential function is determined by the

growth factor.

The correct responses are;

  • 1. Exponential function for Ben's post shares is <u>f(x) = 2·3ˣ</u>
  • 2. The exponential function for Carter's post shares is <u>f(x) = 10·2ˣ</u>
  • 3. Please find attached the graph of the exponential function of each of the students posts shares
  • 4. The number of shares received by Amber
  • On Day 3 = <u>192 shares</u>
  • On Day 10 = <u>3,145,728 shares</u>

  • The number of shares received by Ben
  • On Day 3 = <u>54 shares</u>
  • On Day 10 = <u>118,098 shares</u>

  • The number of shares received by Carter
  • On Day 3 = <u>80 shares</u>
  • On Day 10 = <u>10,240 shares</u>

  • 5. The graph of the new function is a translation of the graph of the original function 45 units in the upward direction.

  • 6. Based on the result, the post that travels fastest is Amber's post that has the highest growth factor of 4.

  • 7. A post with <u>fewer friends and more shares is preferable</u>.

Reasons:

1. The general form of the exponential function is; Shares, f(x) = a·bˣ

On day 0, we have; x = 0, f(0) = 2, which gives;

f(0) = a·b⁰ = a = 2

a = 2

At x = 1, f(1) = 6

f(1) = a·b¹ = 2 × b¹ = 6

∴ b = 6 ÷ 2 = 3

b = 3

Which gives;

The the exponential function for Ben's social media post as; <u>f(x) = 2·3ˣ</u>

2. The number of friends with which Carter shares his post = 10 friends

Number of people each of the 10 friends share their post = 2 people

Which gives;

The initial value, a = 10

The growth factor, <em>b</em> = 2

The exponential function is therefore, <u>f(x) = 10·2ˣ</u>

3. Please find attached the graph of each of the exponential functions created with MS Excel

4. On Day 3, we have;

The number of shares Amber's post receives, f(3) = 3×4³ = <u>192 (shares)</u>

For Ben, we have, f(3) = 2 × 3³ = <u>54 (shares)</u>

Carter's posts gives, f(3) = 10 × 2³ = <u>80 (shares)</u>

On Day 10, we have;

The number of shares Amber's post receives, f(10) = 3 × 4¹⁰ = 3,145,728 (shares)

Ben's post gets, f(10) = 2 × 3¹⁰ = <u>118,098 (shares)</u>

Carter's post gets f(10) = 10 × 2¹⁰ = <u>10,240 (shares)</u>

5. The new function is f(x) = 3·(4)ˣ + 45

The function of the original graph of Amber's photo share is <u>f(x) = 3·(4)ˣ</u>

The difference is; 3·(4)ˣ + 45 - 3·(4)ˣ = 45

Therefore, the values of the new function are 45 more than the values of the original function

Therefore;

The graph of the new function is translated upwards by 45

6. Based on the analyses of the result, the student posts that travel the fastest is the one with the highest growth factor, which is Amber's post

7. Given that the aim is to get more social, the best option is to have <u>more shares and fewer friends</u>.

Learn more about exponential function here:

brainly.com/question/1528738

5 0
2 years ago
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