F(x)=4x-1 G(x)=x+3 Find f(x)+g(x)

Mathematics

1 answer:

mr_godi [17]2 years ago

8 0

Answer:

Answer is 5x+2

Step-by-step explanation:

$Given \: f(x) = 4x - 1 \: \: and \: \\ g(x) = x + 3 \\ f(x) + g(x) = 4x -1 + x + 3 \\ = 5x + 2$

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What two numbers can be multiplied to be -150 and added to be 5

pav-90 [236]

Xy = -150
x + y = 5

x + y = 5
x - x + y = -x + 5
y = -x + 5

xy = -150
x(-x + 5) = -150
x(-x) + x(5) = -150
-x² + 5x = -150
-x² + 5x + 150 = 0
-1(x²) - 1(-5x) - 1(-150) = 0
  -1(x² - 5x - 150) = 0
-1 -1
x² - 5x - 150 = 0
x = -(-5) ± √((-5)² - 4(1)(-150))
  2(1)
x = 5 ± √(25 + 600)
2
x = 5 ± √(625)
2
x = 5 ± 25
2
x = 2.5 ± 12.5
x = 2.5 + 12.5 or x = 2.5 - 12.5
x = 15      or        x = -10

x + y = 5
15 + y = 5
- 15 - 15
y = -10
  (x, y) = (15, -10)

  or

x + y = 5
-10 + y = 5
+ 10 + 10
y = 15
  (x, y) = (-10, 15)

The two numbers that add up to 5 and multiply to -150 are 15 and -10.

8 0

2 years ago

Given: ABCD is a trapezoid, AB=CD, MN is a midsegment, MN=30, BC=17, AB=26 Find: m∠A, m∠B, m∠C, and m∠D

enyata [817]

Answer:

The measures of angle ∠A, ∠B, ∠C, and ∠D are 60, 120, 120 and 60 degree respectively.

Step-by-step explanation:

Given information:AB=CD, MN is a midsegment, MN=30, BC=17, AB=26

Since two opposites sides are equal, therefore we can say that two no parallel sides are equal.

The length of midsegment is average of length of parallel lines.

$MN=\frac{AD+BC}{2}$