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SVEN [57.7K]
4 years ago
11

Slope of 4 and a y-intercept of (0, 6)

Mathematics
2 answers:
stealth61 [152]4 years ago
7 0
The slope is 4 and y-intercepts is 6
Julli [10]4 years ago
6 0

Answer:

y=4x+6

Step-by-step explanation:

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I need help with 11 and 12
Yakvenalex [24]

Answer:

Both are inverse pairs  

Step-by-step explanation:

Question 11

g(x)= 4 + \dfrac{8}{5}x

(a) Rename g(x) as y  

y = 4 + \dfrac{8}{5}x

(b) Solve for x :  

\dfrac{8}{5}x = y - 4

(c) Multiply each side by ⅝

x = \dfrac{5}{8}(y - 4) = \dfrac{5}{8}y - \dfrac{5}{2}

(d) Switch x and y  

y = \dfrac{5}{8}x - \dfrac{5}{2}

(e) Rename y as the inverse function  

g^{-1}(x) = \dfrac{5}{8}x - \dfrac{5}{2}

(f) Compare with your function

f(x) = \dfrac{5}{8}x - \dfrac{5}{2}\\\\f(x) = g^{-1}(x)

f(x) and g(x) are inverse functions.

The graphs of inverse functions are reflections of each other across the line y = x.

In the first diagram, the graph of ƒ(x) (blue) is the reflection of g(x) (red) about the line y = x (black)

 

Question 12

h(x)= x - 2

(a) Rename h(x) as y  

y = x - 2

(b) Solve for x:  

x = y + 2

(c) Switch x and y  

y  = x + 2

(e) Rename y as the inverse function  

h⁻¹(x) = x + 2

(f) Compare with your function

f(x) = x + 2

f(x) = h⁻¹(x)

h(x) and ƒ(x) are inverse functions.

The graph of h(x) (blue) reflects ƒ(x) (red) across the line y = x (black).

5 0
3 years ago
Find the value of this expression if x=1 and y=-5 <br> x^2y/7
AlekseyPX

Answer:

5/7

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
To decorate a cake, you make a shade of green icing using 33 drops of yellow food coloring for every 44 drops of blue food color
Kay [80]
Simple it says you use 33 drops of yellow originally and 44 drops of blue it appears that each drops are 11  drops lesser (from blue to yellow). Therefore, add 11 to 1212 and you get your answer. 
5 0
3 years ago
Can someone help me please and thank you :)
Citrus2011 [14]

Answer:

the answer is 4328

Step-by-step explanation:

may God bless you and your family during spring break

8 0
2 years ago
Round 1627187 to the nearest ten?
Eduardwww [97]

Answer:

1627190

Step-by-step explanation:

(see attached for reference)

Given the number 1627187, we can see that the number in the tens place is the number 8.  

How we round this depends on the number immediately to the right of this number. (i.e the digit in the ones place)

Case 1: If the digit in the ones place is less less than 5, then the number in the tens place remains the same and replace all the digits to its right with zeros

Case 2: If the digit in the ones places is 5 or greater, then we increase the digit in the tens place and replace all the digits to its right with zeros.

In our case, the digit in the ones places is 7, this greater than 5, hence according to Case 2 above, we increase the digit in the tens place by one (from 8 to 9) and replace all the digits to its right by zeros giving us:

1627190

7 0
3 years ago
Read 2 more answers
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