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Murljashka [212]
3 years ago
12

Still having trouble

Mathematics
1 answer:
Paul [167]3 years ago
8 0
Given:
-2y + 5z = -3 <span>(first equation)
</span>y = -5x - 4z - 5  (second equation)
x = 4z + 4 <span>(third equation)<span>
</span></span>
Solution:
PART 1
Substitute x with (4z + 4) in the second equation
y = -5x - 4z - 5
y = -5(4z + 4) - 4z - 5

Then simplify
y = -20z - 20 - 4z - 5

add like terms
y = -20z - 4z - 20 - 5
y = -24z - 25

PART 2 : Find the value of z
We got y is equal to (-24z - 25). Substitute y with (-24z - 25) in the first equation, and we'll find the value of z.
-2y + 5z = -3
-2(-24z - 25) + 5z = -3
48z + 50 + 5z = -3

add like terms
48z + 5z = -3 - 50
53z = -53
    z = -53/53
    z = -1

The value of z is equal to -1

PART 3: Find y and x
Find the value of y by substitution of -1 in the place of z.
y = -24z - 25
y = -24(-1) - 25
y = 24 - 25
y = -1
The value of y is equal to -1

Find the value of x by substitution of -1 in the place of z.
x = 4z + 4
x = 4(-1) + 4
x = -4 + 4
x = 0
The value of x is equal to 0
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Answer:

the function given f(x)=x^3

for 4 units up, just add 4 as a constant

4 units up means, every old value will now be 4 more than previous value. at x=0, y=0 in the transformed curse it should x=0 and y=4, so just add it.

f(x)=x^3+4

for 6 units left,

each old value of y should now occur 6 units before the old value of x i.e. X=x+6

for example, the point (0,0) should occur at (-6,0) in the transformed graph,

hence, f(x)=(x+6)^3

so the final curve is

f(x)=(x+6)^3+4

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15y^2-15y+2y+7-2y^2+4
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Step-by-step explanation:

Simplify the following:

15 y^2 - 2 y^2 + 2 y - 15 y + 4 + 7

Grouping like terms, 15 y^2 - 2 y^2 + 2 y - 15 y + 4 + 7 = (15 y^2 - 2 y^2) + (-15 y + 2 y) + (7 + 4):

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Answer: 13 y^2 - 13 y + 11

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