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svp [43]
3 years ago
15

Given the equation y-4=3/4(x + 8) in point-slope form, identifty the equation of the same line in standard form.

Mathematics
1 answer:
kari74 [83]3 years ago
6 0

Answer:

The point-slope form is y = 3/4x + 10 and the standard form is -3x + 4y = 40

Step-by-step explanation:

In order to find this equation in point-slope form, simply solve for the y value.

y - 4 = 3/4(x + 8)

y - 4 = 3/4x + 6

y = 3/4x + 10

Now to get to the standard form, solve for the constant, then rationalize the denominator.

y = 3/4x + 10

-3/4x + y = 10

-3x + 4y = 40

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Chelsey wants to join a fitness club. The fitness club charges an initial membership fee of $55 and a monthly fee of 19.50. she
Naddik [55]

Answer:

Chelsey can be a member of the fitness club for <u>10</u> months.

Step-by-step explanation:

Given:

Chelsey wants to join a fitness club.

The fitness club charges an initial membership fee of $55 and a monthly fee of $19.50.

She has $250 to spend on a membership at the fitness club.

Now, to find the number of months Chelsey can be a member of the fitness club.

Let the number of months Chelsey can be a member of the fitness club be x.

Monthly fee = $19.50.

Membership fee = $55.

Now, to get the number of months Chelsey can be a member of the fitness club we write and solve an equation:

55+19.50(x)=250.

55+19.50\times x=250\\\\55+19.50x=250

<em>Subtracting both sides by 55 we get:</em>

19.50x=195

<em>Dividing both sides by 19.50 we get:</em>

x=10.

Therefore, Chelsey can be a member of the fitness club for 10 months.

5 0
4 years ago
For a given input value aaa, the function hhh outputs a value bbb to satisfy the following equation. 3a-5=-4b+13a−5=−4b+13, a, m
Anastaziya [24]

Answer:

5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
suppose you write an equation that gives "a" as a function of "b". Which is the dependent variable and which is the independent
blondinia [14]
If im not wrong which i may not the
Dependent is A
Independent is B
4 0
3 years ago
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Can someone help me with my algebra?
SIZIF [17.4K]

Answer:

The top graph

Solutions:

-2

0

Step-by-step explanation:

The given quadratic function in factored form is

f(x) =  - (x + 2)(x - 2)

This is a parabola that has x-intercepts at (-2,0) and (2,0)

This parabola opens downward because the leading coefficient is less than 1.

The second function is

g(x) = 2 |x  + 2|

This is an absolute value function with vertex at (-2,0).

Therefore the graph that shows the solution to f(x)=g(x) is the top graph.

Hence the solution is x=-2,x=0

4 0
3 years ago
Suppose that a high school marching band has 86 members. Of these 86 band members, 26 are seniors, 17 play the trumpet, and 4 ar
GalinKa [24]

Answer: 0.3023

Step-by-step explanation:

86 band members

26 are senior, 17 plays trumpet. If 4 are seniors and play trumpet, we solve this using the bayes theorem of conditional probability.

Probability of choosing band member that plays trumpet =17/86 = 2/43.

Probability of choosing a senior that plays trumpet = 4/26

Probability that a chosen member is a senior given that he plays trumpet = (2/43)/(4/26)

= 0.3023.

8 0
3 years ago
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