2 years ago

Write the slope-intercept form of the equation of each line.

Mathematics

1 answer:

yanalaym [24]2 years ago

7 0

Answer:

y=mx+b

y=x+3

Step-by-step explanation:

m: 1 (rise over run by 1)

b: 3

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Amuseumcharges forgeneraladmission and exhibitions. Admission and 3 exhibitionscosts $45. Admission and 5 exhibitionscosts $65.

leonid [27]

Answer:

The price of the admission is 15.

Step-by-step explanation:

From the information given, you can write the following equations:

a+3e=45 (1)

a+5e=65 (2), where:

a is the admission cost

e is the exhibition cost

First, you can solve for a in (1):

a=45-3e (3)

Second, you can replace (3) in (2):

45-3e+5e=65

45+2e=65

2e=65-45

2e=20

e=20/2

e=10

Finally, you can replace the value of e in (3):

a=45-3e

a=45-3(10)

a=45-30

a=15

According to this, the price of the admission is 15.

3 0

3 years ago

Express the interval shown on the number line in inequality notation.

Bess [88]

Answer: x < -3 or x > 5

Step-by-step explanation: Interval notation shows the values of x. X is less than -3, or greater than 5.

6 0

3 years ago

Describe sets of two or more matching integer cards that satisfy the criteria in each part below:

anygoal [31]

Where’s the picture ????????

4 0

3 years ago

The function f(t) = 5 cos(pi over 6t) + 7 represents the tide in Stanley Sea. It has a maximum of 12 feet when time (t) is 0 and

Juliette [100K]

The function for the height is
$f(t) = 5cos( \frac{ \pi }{6} t)+7$

f(0) = 5 cos(0) + 7 = 5 + 7 = 12 (verified)
The period is T = 12 hours.

After 4 hours (t = 4), the height is
$f(4) = 5cos( \frac{ 4\pi }{6} )+7 = 5*(-0.5)+7=4.5$

A graph of f(t) confirms the answer.

Answer: 4.5 ft