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d1i1m1o1n [39]
3 years ago
13

At what point does the graph of 5x + 4y = 12 intersect the y-axis?

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0
To find the y-intercept, we need to re-arrange the equation given to y=mx+c, where c is the y-intercept
To do this to 5x + 4y = 12, we need to have only y on the left side, so subtract 5x from each side, to get
4y = 12 - 5x, or
4y = -5x + 12
Now we need to isolate y, so divide each side by 4
y = 5/4x + 3
So the y-intercept will be at +3, and the y intercept is always on x = 0, so the co-ordinate will be (0, 3), which is a.
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How is the graph of y=4(2)^x+3 translated from the graph of y=4(2)^x
Pie

Answer:

Vertical movement: Move up 3 units

or

Horizontal movement: Move left 3 units

Step-by-step explanation:

If your parent equation is f(x) = 4(2)^{x} and your child equation is f(x) = 4(2)^{x} + 3, then it has vertically moved up 3 units.

If your parent equation is f(x) = 4(2)^{x} and your child equation is f(x) = 4(2)^{x+3}, then it has moved horizontally left 3 units.

7 0
3 years ago
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PLEASE EXPLAIN TOO SO I CAN SOLVE OTHER SIMILAR ONES.
jeka57 [31]

Answer: x = 30' , y = 45'

hope this helps

Step-by-step explanation:

U is 90' it's a right triangle

well simple VRT you already know 2 angles which is 60' and 90'

R = 60'

V = 90'

T = x

you know that a triangle = 180'

so you do

180 - 60 - 90 = x

30 = x

if you want to do y

then you already know that U is 90' on both sides.

since you also know S,

S = 45'

U = 90'

V = y

180 - 90 - 45 = y

45 = y

4 0
3 years ago
James bought the computer which was discounted from $350 to $273. What is the discount rate?
sasho [114]
<h3>Answer:  22%</h3>

Explanation:

amount saved = 350-273 = 77 dollars.

Divide this amount over the original price

77/350 = 0.22 = 22% is the discount rate

8 0
3 years ago
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A Cylinder has a base diameter of 4cm and a height of 2cm. What is it’s volume in cubic cm, to the nearest tenths place
s2008m [1.1K]

Answer: The answer is v=25.1 cm³

Step-by-step explanation:

b=4      

h= 2

r= 4/2     r =2 radius is half of the diameter

V=πr²h

v= π(2)²2

v= 25.132741228718

v=25.1 cm³

6 0
2 years ago
select the correct answer. Consider the function f. Which statement is true about function f? NO LINKS!! ​
andre [41]

Answer:

C) As x approaches positive infinity, f(x) approaches positive infinity

Step-by-step explanation:

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  • This implies that there are asymptotes at x=0 and x=2.
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  • The function is NOT increasing over its entire domain as
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8 0
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