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Wewaii [24]
3 years ago
5

Find the intersection point for the following liner function f(x)= 2x+3 g(x)=-4x-27

Mathematics
1 answer:
Leona [35]3 years ago
5 0

Answer:

( -5,-7)

Step-by-step explanation:

f(x)= 2x+3 g(x)=-4x-27

Set the two functions equal

2x+3 = -4x-27

Add 4x to each side

2x+3+4x = -4x-27+4x

6x+3 = -27

Subtract 3

6x+3 - 3 = -27-3

6x = -30

Divide each side by 6

6x/6 = -30/6

x =-5

Now we need to find the output

f(-5) = 2(-5) +3 = -10+3 = -7

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40 degree, 3x, and 4x solve for x
Alex73 [517]

Answer:

The value of x would be 20

Step-by-step explanation:

To solve this triangle, we need to first note that all triangles have 180 degrees. So we can add these all together and set equal to 180.

40 + 3x + 4x = 180

40 + 7x = 180

7x = 140

x = 20

8 0
4 years ago
The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.
NeX [460]

Answer:

a) the area of a square is in terms of x is

(x+1)^2 centimeter square

b)The length of the rectangle is l = (x+1)

                                       l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

 area of square is l^{2} = (x+1)(x+1)

                                 = (x+1)^2

b)  Given length is  l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is  24 cm

Area of rectangle = length X width

24  =  (x+1)(x+1 -5 )

now simplification 24 = (x+1)^2 - 5 (x+1)

apply (a+b)^2 = a^2+2 a b+b^2

x^2+2 x+1-5 x-5 =24

x^2 -3 x -4-24=0

x^{2} -3 x -28 =0

now find factors of 28  = 7 X 4 is  

x^{2} -7 x+4 x-28=0

x(x-7)+4(x-7)=0

(x+4)(x-7)=0

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

                                       l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle  = 24 = 8 X 3

                                           24 =24

so we can not choose x=-4

we have to choose x =7 only

7 0
3 years ago
How do you solve this?
olasank [31]

Answer:

no clue sorry

Step-by-step explanation:

3 0
3 years ago
Preform the indicated operation.<br> 4/11 ÷ 4/9​
BartSMP [9]

Answer:

0/8

Step-by-step explanation: i tried my best

4 0
3 years ago
Read 2 more answers
17. El precio de los terrenos en Lima es proporcional al área e inversamente proporcional a su distancia con respecto al centro
grin007 [14]

Answer:

375000

Step-by-step explanation:

We have that in this case the following proportion would be fulfilled:

Price * Distance / area

Now, we have that for a distance of 45 km and an area of 900 m ^ 2 the price is 250,000, now for a distance of 40 km but with an area of 1,200 m ^ 2, how would the price be, we replace:

250000 * 45/900 = P * 40/1200

12500 * 1200/40 = P

P = 375000

Which means that for these conditions the price is 375000.

3 0
3 years ago
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