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vesna_86 [32]
3 years ago
6

Juan Carlos graphs the functions f(x) = 8x - 2 and g(x) = -8x + 2

Mathematics
1 answer:
Mamont248 [21]3 years ago
8 0

Answer:

x = 0.25

Step-by-step explanation:

Given

f(x) = 8x - 2\\ g(x) = -8x + 2

Required

Determine their point of intersection

To do this, we simply do:

f(x) = g(x)

This gives:

8x - 2 = -8x + 2

Collect Like Terms

8x + 8x = 2 + 2

16x = 4

Solve for x

x = 4/16

x = 0.25

Hence:

Their point of intersection is at x = 0.25

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Solve this system of linear equations. separate the x-and y-values with a comma.
frez [133]

Answer:

(x,y)=-(1,1)

Step-by-step explanation:

-2x=8-6y (divide by -2)

=> x=-4+3y

-15x=21-6y (divide by -3 for simplicity)

=>5x=-7+2y

We know that  x=-4+3y, insert this into expression "5x=-7+2y"

5(-4+3y)=-7+2y

-20+15y=-7+2y

15y-2y=20-7

13y=13

y=1

Since x=-4+3y we can find x by using y=-1

x=-4+3(1)

x=-1

3 0
3 years ago
What happens to a graph if the slope changes from2 to -2
lozanna [386]

Answer:

it is basically a rise, the 2 is positive so goes up from left to right, then a fall, bc -2 goes down from left to right

Step-by-step explanation:


3 0
3 years ago
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The supplement of an angle is 80° less than three times the measure of the complement of the angle find the measure of the suppl
tresset_1 [31]

Answer:

135

Step-by-step explanation:

The supplement of an angle is 80° less than three times the measure of the complement of the angle find the measure of the supplement of the angle

Two Angles are Supplementary when they add up to 180 degrees.

Two Angles are Complementary when they add up to 90 degrees

Let the angle = x

Supplement of the angle = y

The supplement of an angle is 80° less than three times the measure of the complement of the angle find the measure of the supplement of the angle

x - 180 = 3(x - 90)

x - 180 = 3x - 270

Collect like terms

3x - x = 270 - 180

2x = 90

x = 90/2

x = 45

x+ y = 180

45 + y = 180

y = 180 -45

y = 135

4 0
3 years ago
What is the value of sin-1(1)?
noname [10]

Answer:

-π/2

Step-by-step explanation:

EDGE

3 0
4 years ago
Solve this simultaneous equation x+2y=11 <br> x-2y=1
lana [24]

Answer:

Equation 1,

x + 2y = 11

Equation 2,

x - 2y = 11

Take equation number 2.

x  -  2y = 11 \\ x = 11  +  2y

Substitute 'x' in Equation number 1.

x + 2y = 11 \\ 11 + 2y + 2y = 11 \\ 11 + 4y = 11 \\ 4y = 11 - 11 \\ 4y = 0 \\ y =  \frac{0}{4}  \\ y = 0

<u>y = 0.</u>

So x,

x = 11 - 2y \\ x = 11 - 2(0) \\ x = 11 - 0 \\ x = 11

<u>x = 11.</u>

7 0
3 years ago
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