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
disa [49]
3 years ago
8

I need help finding the slope, identifying the initial value and writing An equation for a linear function and finding the X ans

wer Y intercept PLEASE HELP PLEASE ​

Mathematics
1 answer:
pishuonlain [190]3 years ago
8 0

Answer/Step-by-step explanation:

✔️Slope (m) using the two points (2, 4.58) and (5, 4.28):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4.28 - 4.58}{5 - 2} = \frac{-0.3}{3} = -0.1

Slope (m) = -0.1

✔️Initial Value = y-intercept = b

To find b, substitute x = 2, y = 4.58, and m = -0.1 into y = mx + b.

(Note: y is P(t) and x is t).

Thus:

4.58 = (-0.1)(2) + b

4.58 = -0.2 + b

Add 0.2 to both sides

4.58 + 0.2 = b

4.78 = b

b = 4.78

Initial value = 4.78

✔️Equation for the linear function:

Substitute b = 4.78, and m = -0.1 into P(t) = mt + b

Thus the equation would be:

P(t) = -0.1t + 4.78

✔️The y-intercept = initial value = 4.78

✔️The x-intercept = the value of t when P(t) = 0.

To get this, substitute P(t) = 0 into P(t) = -0.1t + 4.78.

Thus:

0 = -0.1t + 4.78

Add 0.1t to each side

0.1t = 4.78

Divide both sides by 0.1

t = 47.8

x-intercept = 47.8

You might be interested in
Which transformations will produce similar, but not congruent, figures?
n200080 [17]
A, because anything with a dilation will not be congruent as the original PQR :))
7 0
3 years ago
Read 2 more answers
JK=4x+7 and KL=3x+14 find JL
Lena [83]

Answer:

Step-by-step explanation:

4x + 7 = 3x + 14

x + 7 = 14

x = 7

4(7) + 7 + 3(7) + 14

28 + 7 + 21 + 14

35 + 35 = 70

5 0
3 years ago
Given the position of the particle, what the position(s) of the particle when it’s at rest
choli [55]

The position function of a particle is given by:

X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t

The velocity function is the derivative of the position:

\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}

The particle will be at rest when the velocity is 0, thus we solve the equation:

2t^2-9t-18=0

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

Substituting:

\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}

We have two possible answers:

\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

undefined

6 0
1 year ago
Which graph is an example of a cubic function?
AleksAgata [21]
Cubic functions usually look like an S
7 0
3 years ago
a clothing store is having a sale of 30% off all dresses what is the discount on new price of the dress originally cost $90​
Paul [167]

Answer:

$63

Step-by-step explanation:

30% of 90 is 27

90-27=63

8 0
3 years ago
Other questions:
  • The result of multiplying two or more numbers is a____
    13·1 answer
  • Priscilla decides to order a delivery from the local sandwich shop. Her order comes to $12.74 and there is a $2.30 delivery char
    12·2 answers
  • How many acute, obtuse, and right angles are in this figure?
    5·1 answer
  • Help with this question, please!!
    13·2 answers
  • Need help what is the answer ​
    7·1 answer
  • Help would be greatly appreciated.
    9·2 answers
  • 1. Solve the equation. Round to the nearest hundredth.
    13·2 answers
  • david made a batch of 5 liters of blue liquid everyday for days how many milliliters or blue liquid did he make in all
    10·2 answers
  • a bag contains 20 marbles: 5 red, 5 blue, and 10 yellow what is the possibillity that a red is randomly selected
    14·2 answers
  • 13. Find the range of the function on the graph<br> below.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!