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2 years ago

Given g(x) = 10x + 2, find x when g(x) = 2.

Mathematics

1 answer:

Elan Coil [88]2 years ago

8 0

Answer:

x=0

Step-by-step explanation:

We are given:

g(x) =10x +2

and

g(x)=2

g(x) is equal to both 10x+2 and 2. Therefore, by substitution, we can set them equal to each other

10x+2=2

Now, we need to solve for x. First, move all the numbers to the same side. Subtract 2 from both sides

10x+2-2=2-2

10x=0

To solve for x, we have to get x by itself. x and 10 are being multiplied. To get x alone, divide both sides by 10.

10x/10=0/10

x=0

You might be interested in

2(4x + 1) - 3(5x - 1)<br> expand and simplify

Temka [501]

Answer:
-7x + 5

Step-by-step explanation:

2(4x + 1) - 3(5x - 1)

8x + 2 - 3(5x-1)
8x + 2 - 15x + 3
8x + 5 - 15x
-7x + 5

Hope it helped !
Adriel

6 0

1 year ago

Can I Get A Little Help Here?

Musya8 [376]

Hey there :)

We know the formula for simple interest is
I = prt
{ The picture includes what each stands for }

Lehena:
Initial amount = $100
Interest rate = 2.5% = $\frac{2.5}{100} = 0.025$
Time = 3 years
I = ( 100 )( 0.025 )( 3 )
= 7.5$

Total = $100 + $7.5 = $107.5

Marty:
Initial amount = $100
Interest rate = 2% = $\frac{2}{100} = 0.02$
Time = 3 years
I = ( 100 )( 0.02 )( 3 )
= $6

Total = $100 + $6 = $106

How much more than Marty did Lehena receive?
= Total Amount of Lehena - Total Amount of Marty
= 107.5 - 106
= $1.5

Your answer will be option B) $1.50

7 0

3 years ago

I can't figure this out

andriy [413]

Suppose that equation of parabola is
y =ax² + bx + c

Since parabola passes through the point (2,−15) then
−15 = 4a + 2b + c

Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c

Since parabola passes through the point (−3,−5), then
−5 = 9a − 3b + c

Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5

Solving it we get that
a = −2, b = −4, c = 1

Thus, equation of parabola is
y = −2x²− 4x + 1

____________________

Rewriting in the form of
(x - h)² = 4p(y - k)

i) -2x² - 4x + 1 = y

ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)

iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)

iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)

v) -3(x + 7/6)² = y - 445/36

vi) (x + 7/6)² = -⅓(y - 445/36)
(Shifting -⅓ to RHS)

vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p)

So, after rewriting the equation would be -

(x + 7/6)² = 4(-⅛)(y - 445/36)

__________________

I hope this is what you wanted.

Regards,
Divyanka♪
__________________

6 0

2 years ago

Read 2 more answers

Classify the following expression by degree and term: x2y − 7xy + xyz + x

goldfiish [28.3K]

3rd degree polynomial with 4 terms

4 0

2 years ago

Read 2 more answers

Matt and Anna Killian are frequent fliers on Fast-n-Go Airlines. They often fly between two cities that are a distance of 1980

Ymorist [56]

Answer:

y (plane speed) 400 miles/hr

x (wind speed) 40 miles/hr

Step-by-step explanation:

going into the wind make the plane flew 5,5 hours to get 1980 miles, implies the real travel speed was

1980 / 5,5 = 360 miles/hours, and at the same time is the result of:

speed plane (y) in direction A to B plus wind speed (x) in direction B to A. Notice opposites direction speed, so we have:

y + (-x) = 360 (1)

The return fly took 4,5 hours so 1980/4,5 = 440 miles/ hours as the result

Y + x = 440 (2)

We have a two equation with two variables system, It could be solved for any of the procedures. We will use the substitution method.

From equation (1) y + (-x) = 360 y - x = 360 y = 360 + x (1)

In the second equation

y + x = 440 then we replace y for its value as function of x

(360 + x ) + x = 440

Solving for x 360 + 2x = 440 or 2x = 440 – 360

x (440 - 360)/2

x = 40 miles/hr

X (wind speed ) = 40 miles/hr

And replacing the value of x in eq. (1) y = 360 + 40 = 400

Y (plane speed) = 400 miles /hr

3 0

3 years ago