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svetoff [14.1K]
3 years ago
14

Parent function: f(x)=x

Mathematics
1 answer:
vaieri [72.5K]3 years ago
7 0

Answer:

  a)  y = x+1

  b)  The transformation shifts the graph 1 unit to the left

Step-by-step explanation:

a) Put (x+1) where (x) is in the function definition:

  y = f(x+1)

  y = x+1

__

b) This transformation has the effect of shifting the graph one unit to the left. Any point (x, f(x)) on the original curve, will now be (x-1, f(x)), shifted one unit to the left.

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Find the solution to the system of equations x + y = 9 and x - y = -1.
Galina-37 [17]

Answer:

(4, 5 )

Step-by-step explanation:

x + y = 9 → (1)

x - y = - 1 → (2)

adding the 2 equations term by term will eliminate y

2x + 0 = 8

2x = 8 ( divide both sides by 2 )

x = 4

substitute x = 4 into either of the 2 equations and solve for y

substituting into (1)

4 + y = 9 ( subtract 4 from both sides )

y = 5

solution is (4, 5 )

6 0
2 years ago
Read 2 more answers
Solve the system using the substituion method<br> -4x+y=8<br> x-3y=9
lions [1.4K]
Hi there!

x - 3y = 9
x = 9 + 3y
 
-4x + y = 8
-4(9+3y) + y = 8
-36 - 12y + y = 8
-36 - 11y = 8
-11y = 44
-y = 4
y = -4

x - 3y = 9
x - 3(-4) = 9
x + 12 = 9
x = 21

So, your answers are y = -4 and x = 21.

Hope this helps!
3 0
3 years ago
47%
ale4655 [162]

Answer:

1hr=60minutes

ATQ,20 minutes/60 minutes=1/n

1/3=1/n

so the value of n is 3...

Step-by-step explanation: Hope i helped please give brainliest!

7 0
3 years ago
One of your friends is testing the effect of drinking coffee on the duration of cold symptoms. The common cold lasts, on average
Goshia [24]

Answer: 0.0930

Step-by-step explanation:

As per given , we have

H0: μcoffee = 6

Ha: μcoffee < 6

She finds z = −1.68 with one-sided P-value P = 0.0465.

The P-value for two-tailed test is calculated by :

2P(Z>|z|)

For z= -1.68 , we have

2P(Z>|-1.68|)=2P(Z>1.68)

=2(1-P(z\leq1.68))\ \ [\because\ P(Z>z)=1-P(Z\leq z)]

=2(1-0.9535213)\ \ \ [\text{ NORM.S.DIST(z, TRUE}]\\\\=2( 0.0464787)=0.0929573\approx0.0930  

Hence, the correct two-sided P-value for z = −1.68 is 0.0930 .

3 0
3 years ago
If 2160= 2^a3^b5^c the solution set of a,b,c is<br>{4,3,0}<br>{1,0,3}<br>{4,3,1}<br>{2,3,4}​
Readme [11.4K]

Answer:

4,3,1

Step-by-step explanation:

2^a3^b5^c=2160

2^a3^b5^c=2^4 3^3 5^1

a=4,b=3 and c=1

8 0
3 years ago
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