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adelina 88 [10]

3 years ago

13

In 2005, a store manager earned $55,250. In 2013, the manager earned $68,546 working at the same store. Let x be years since 200

0, and y represent the manager's salary.
Assuming that a linear function models this data, find and interpret the rate of change.

1 answer:

Art [367]3 years ago

7 0

I was born 2005 so I don't know the answer sorry

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The equation for the line of best fit for a data set is y = 2x + 1.5. If the point (1, 4) is in the data set, what is the residu

Andreas93 [3]

A. 0.5 well at least that's the answer in ingenuity.<span />

5 0

3 years ago

Read 2 more answers

What is how do I find m and b?

IrinaK [193]

Answer:

<h2>m = 21, b = 5 → y = 21x + 5</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept → (0, b)</em>

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

=====================================

From the table we have y-intercept (0, 5) → <em>b = 5 </em>and other point (1, 26).

Calculate the slope:

$m=\dfrac{26-5}{1-0}=\dfrac{21}{1}=21$

8 0

2 years ago

{(−1, 5), (2, 8), (5, 3), (13, −4)} what are the range

makkiz [27]

$(x;\ y)\\\\(-1, \fbox5), (2, \fbox8), (5, \fbox3), (13, \fbox{-4})\\\\\boxed{The\ range:y\in\{-4;\ 3;\ 5;\ 8\}}$

7 0

3 years ago

Write a formula for the general term or nth term for the sequence. Then find the indicated term. five halves comma five fourths

nadya68 [22]

Sequence: 5/2, 5/4, 5/8, 5/16
a8=?

a1=5/2
a2=5/4
a3=5/8
a4=5/16

a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2

an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n

n=8→a8=5/2^8
a8=5/256

Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256

6 0

3 years ago

6. In right triangle ABC, mZC=3y-10,

lorasvet [3.4K]

Answer:

scalene

Step-by-step explanation:

step 1

Find the value of y

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

In this problem

m∠A+m∠B+m∠C=180°

substitute the given values

$90\°+(y+40)\°+(3y-10)\°=180\°$

Solve for y

$4y+120=180$

$4y=180-120$

$4y=60$

$y=15$

step 2

<em>Find the measure of angle B</em>

m∠B=(y+40)°

substitute the value of y

m∠B=(15+40)=55°

step 3

<em>Find the measure of angle C</em>

m∠C=(3y-10)°

substitute the value of y

m∠C=(3(15)-10)=35°

The three interior angles are different

so

The three sides of the ABC triangle will also be different

therefore

The right triangle ABC is scalene

6 0

2 years ago