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egoroff_w [7]
2 years ago
12

What are the y-intercept and the horizontal asymptote of g(x) = 3x + 4?

Mathematics
1 answer:
Stells [14]2 years ago
8 0

The coefficient of the variable will be the horizontal  asymptote . Hence the horizontal  asymptote will be 3

<h3>How to calculate the y-intercept and horizontal asympototes</h3>

Given the function g(x) = 3x + 4

The y-intercept is the point where x = 0

g(0) = 3(0) + 4
g(0) = 0 + 4
g(0) = 4

Hence the y-intercept is at (0, 4)

For the horizontal  asymptote of g(x) = 3x + 4

The coefficiet of the variable will be the horizontal  asymptote . Hence the horizontal  asymptote will be 3

Learn more on asymptotes here: brainly.com/question/4138300

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Can someone answer these for me???!!!
babymother [125]

1: Angles 2 & 6 + angles 3 & 7

     - Angles that are on the inside of the parallel lines and on opposite sides of the transversal  

2: Angle 1

     - Angles in the same position but the other line

3: Alternate exterior angles

     - Angles that are on the outside of the parallel lines and opposite sides of the transversal

4: Same side interior angles

     - They are on the same side of the transversal and inside the parallel lines

5: Angle 2

     - It is supplementary and on the inside of the parallel lines

6: Angle 4

     - It is supplementary and on the outside of the parallel lines

7: 146°

     - They are corresponding angles, so they are the same measurement  

8: 128°

     - They are supplementary angles, so 180 - 52 = 128

<u>For 9 & 10:</u>

     - They are supplementary, so adding them together will result in 180 degrees

     - (8x + 63) + (5x) = 180 -> 8x + 5x + 63 = 180 -> 13x = 117 -> x = 9

     - Now we will plug it in to find the individual measurements:

9: 135°

     - 8x + 63 -> 8(9) + 63 -> 72 + 63 = 135

10: 45°

     - 5x -> 5 (9) = 45

                         I hope this helps, have a nice day! :D

7 0
2 years ago
Read 2 more answers
What is t if 5/7t = 15
Black_prince [1.1K]

Answer:

21

Step-by-step explanation:

15/ 5/7 = 21

8 0
4 years ago
What is the solution to the equation 93x ≈ 7?
s344n2d4d5 [400]
Well, I do not know if you mean 93x = 7 or 9^3x = 7.
So, I will provide the solution for both cases.

In case of 93x = 7:
This case is simple, all you have to do is isolate the x. You need to get rid of the coefficient which is 93. You can simply do this by dividing both sides of the equation by 93 as follows:
93x = 7
93x / 93 = 7/93
x = 7/93

In case of 9^3x = 7:
Now, we need to get rid of the power. The only function that can do this is the log function.
So, we will start by taking log base 10 for both sides of the equation as follows:
9^3x = 7
log(9^3x) = log(7)
This will give:
3x * log(9) = log(7)
Now, the final step is to isolate the x as we did before. To do this, we will need to get rid of 3log(9). This can be done by dividing both sides of the equation by 3log(9) as follows:
3x * log(9) / 3log(9) = log(7) / 3log(9)
This will give us:
x = log(7) / 3log(9) = 0.2952

Hope this helps :)
5 0
4 years ago
The price of an all-access ticket to the fair is $42.99 before tax. Roland bought the all-access ticket for 40% off. He then pai
Ulleksa [173]

Answer:

18.39972

Step-by-step explanation:

40% of 42.99 is 17.196

plus a 7% of sales tax would be 18.39972

5 0
4 years ago
Read 2 more answers
A passenger traub keaves a depot 1.5 hours after a freight train leaves the same depot. The passenger train is travleing 18 mph
skelet666 [1.2K]

Answer:

Speed of passenger train=18+30=48 mph

Speed of freight train=30 mph

Step-by-step explanation:

Let x be the speed of freight train.

Speed of passenger train=x+18 mph

Time taken by freight train=1.5+2.5=4 hrs

Time taken by passenger train to overtake the freight train=2.5 hrs

Distance=Speed\times time

By using this formula

Distance traveled by passenger train=2.5(x+18)  miles

Distance traveled freight train=4x

According to question

2.5(x+18)=4x

2.5 x+45=4x

45=4x-2.5 x

45=1.5 x

x=\frac{45}{1.5}=30

Speed of freight train=30 mph

Speed of passenger train=18+30=48 mph

8 0
3 years ago
Read 2 more answers
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