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matrenka [14]
3 years ago
15

Given the functions f(x)=7x-2 amd g(x)=3x+6, find the value of x for which F(x)=g(x)

Mathematics
2 answers:
Ivahew [28]3 years ago
6 0

Answer:

Step-by-step explanation:

Hello,

f(x)=g(x)

<=> 7x-2=3x+6

<=> 7x-3x=6+2

<=> 4x=8

<=> x = 2

thanks

AveGali [126]3 years ago
3 0
7x-2 = 3x+6
4x = 8
x = 2
When x=2 f(x)=g(x)
Check:
f(2) = 7(2)-2 = 14-2 = 12
g(2) = 3(2)+6 = 6+6 = 12
12 = 12 :. f(2) = g(2)
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The University of Central Florida is planning to build a new access ramp for wheelchairs at its education building. The main ent
forsale [732]

Answer:

0.6 feet

Step-by-step explanation:

We solve this question using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent.

Where:

Opposite = Height /Length of the ramp = ?

Adjacent = Distance from the base of the ramp = 4 feet

θ = 8.1°

Therefore,

tan 8.1° = x/4

Cross Multiply

x = tan 8.1 × 4

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Length of the ramp = 0.6 feet.

6 0
2 years ago
Please helppp thanks!
alexandr402 [8]

Answer:

The probability is 1/36

Step-by-step explanation:

The probability of getting 4 is 1 out of 6 and the probability of gettin a 5 is also 1 out of 6. So if you multiply the probabilities you'll get 1 out of 36.

3 0
3 years ago
Read 2 more answers
8 to the power of negative 2 × a to the power of 7
solniwko [45]
I'm sorry, all you did was say something. We need a question if you want an answer.
5 0
3 years ago
-(-5 - 6x) = 4 (5x +3)
tatiyna

-(-5 - 6x) = 4 (5x +3)

Pretend that there is a -1 in front of the first bracket

-1(-5-6x)= 4(5x+3)

Mutiply the first bracket by -1

(-1)(-5)(-1)(-6x)= 5+6x

Mutiply the second bracket by 4

(4)(5x)(4)(3)= 20x+12

5+6x= 20x+12

move 20x to the other side

5+6x-20x= 20x-20x+12

5+6x-20x= 12

5-14x= 12

move 5 to the other side

sign changes from +5 to -5.

5-5-14x= 12-5

-14x=7

divide by -14

-14x/-14= 7/-14

x= -1/2

Answer: x= -1/2

6 0
3 years ago
Please help and fast
kirza4 [7]

A the slope of the line is 1

to calculate the slope m , use the ' gradient formula '

m = ( y₂ - y₁ ) /( x₂ - x₁ )

where (x₁, y₁ ) = 6, 3) and (x₂, y₂ ) = (9, 6)

m = \frac{6 - 3}{9 - 6} = \frac{3}{3} = 1


5 0
3 years ago
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