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topjm [15]
2 years ago
5

Find the x- and y-intercepts of the function f(x) = log(2x + 1) − 1.

Mathematics
1 answer:
Vilka [71]2 years ago
6 0

Answer:

(9/2,0) and (0,-1)

Step-by-step explanation:

y(0) = log(1)-1 = -1

y=0 when log(2x+1) = 1

2x+1 = 10

x = 9/2

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The first shipping by company charges a fee of $20 to ship a medium box, plus an additional $1 per pound. A second company charg
viktelen [127]

Answer:

Total cost=$25

Step-by-step explanation:

We can derive two expressions as follows;

Total cost for the First shipping company=Medium box charges+total additional charges

where;

Medium box charges=$20

Total additional charges=Charges per pound×number of additional pounds (n)

Total additional charges=1×n=n

replacing;

Total cost for the First shipping company=20+n....equation 1

Total cost for the second shipping company=Medium box charges+total additional charges

where;

Medium box charges=$15

Total additional charges=Charges per pound×number of additional pounds (n)

Total additional charges=2×n=2 n

replacing;

Total cost for the First shipping company=15+2 n....equation 2

Equating equation 1 and equation 2

15+2 n=20+n

2 n-n=20-15

n=5

Replace the value for n in equation 2

Total cost for the First shipping company=15+2 n....equation 2

Total cost=15+(2×5)=$25

7 0
3 years ago
The linear regression equation is y = 61. 93x - 1. 79. According to the model, the slope can be interpreted as:
devlian [24]

The slope of the linear regression equation y = 61. 93x - 1. 79 is attached with the response.

<h3>What is linear regression?</h3>

Linear regression is the most primary and generally used predictive research. Regression calculations are utilised to represent data and to describe the association.

The slope of the linear regression equation represented in the graph is the straight-line cutting the intercepts on the y axis at 1.79.

To know more about linear regression follow

brainly.com/question/21738659

#SPJ4

7 0
2 years ago
Find the value of y if the value of x is 2 for each equation and match it with the appropriate result.
Xelga [282]

9514 1404 393

Answer:

  3, 0, 2, -2

Step-by-step explanation:

Put x=2 into each equation and solve for y.

<u>2 + y = 5</u>

  y = 5 -2

  y = 3

<u>3x +2y = 6</u>

  3·2 +2y = 6

  2y = 6 -6 = 0

  y = 0

<u>2x +y = 6</u>

  2·2 +y = 6

  y = 6 -4

  y = 2

<u>5x +3y = 4</u>

  5·2 +3y = 4

  3y = 4 -10 = -6

  y = -2

4 0
3 years ago
Colin invests £1200 into his bank account. He receives 3% per year simple interest. How much will Colin have after 4 years? Give
PolarNik [594]

Answer:

1350.61

Step-by-step explanation:

f(x)=1200(1.03^x)

3 0
3 years ago
The cost for 7 dance lessons is 82$. The cost for 11 lessons is 122$. Write and solve an equation to find the cost of 4 lessons
Juliette [100K]

Answer:

$52

Step-by-step explanation:

Using the equation

y=mx+c

82=7x+c

122=11x+c

11x-7x=122-82

4x=40

x=10

To get c

82=7(10)+c

82-70=c

c=12

For 4 lessons

y=10(4)+12=52

6 0
3 years ago
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