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lapo4ka [179]
4 years ago
11

Twice one number is 15 less than a second number. when 13 is added to the second number,the result is 7 less than 9 times the fi

rst number
Mathematics
1 answer:
inna [77]4 years ago
8 0
Anwser is 15 beacuse i got the anwser right now

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The graphs of f(x) and g(x) are shown below:
rosijanka [135]
<h2>Answer:</h2>

Option: C is the correct answer.

            C.)   x = −3.8, 3

<h2>Step-by-step explanation:</h2>

The function f(x) is given by:

           f(x)=x^2-x-12

and the function g(x) is given by:

            g(x)=-1.8x-0.6

Now, we are asked to find the solution of the equation:

        f(x)=g(x)

i.e. we have to find the value of x such that both the functions are equal i.e.

x^2-x-12=-1.8x-0.6\\\\i.e.\\\\x^2-x+1.8x-12+0.6=0\\\\i.e.\\\\x^2+0.8x-11.4=0\\\\i.e.\\\\10x^2+8x-114=0\\\\i.e.\\\\5x^2+4x-57=0

Now, on solving the equation using the quadratic formula i.e. the solution of the equation:

ax^2+bx+c=0

is given by:

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Here we have:

a=5,\ b=4\ and\ c=-57

Hence, the solution is given by:

x=\dfrac{-4\pm \sqrt{4^2-4\times 5\times (-57)}}{2\times 5}\\\\i.e.\\\\x=\dfrac{-4\pm \sqrt{16+1140}}{10}\\\\i.e.\\\\x=-3.8\ and\ x=3

6 0
3 years ago
Crystal's sister Melanie is 3 years older than twice her age. Write an algebraic expression that represents the relationship of
maksim [4K]

Answer:

M=3+2C

Step-by-step explanation:

Let M be Melanie's age

Let C be Crystal's age

Twice Crystal's age =2C

3 years more than twice crystal's age =3+2C

Therefore, the expression would be ;

M=3 +2C

4 0
3 years ago
Jacob has 6.15 meters of rope. He is going to use 1.2 meters of rope to tie up his boat. How many centimeters of rope does he ha
mojhsa [17]

Answer:

495 cm

Step-by-step explanation:

Remark

When you do the subtraction, whatever is left (the decimal part) is the length in cm when multiplied by 100.

Solution

Remaining rope = starting length - what was used.

Remaining rope = 6.15 - 1.2

Remaining rope = 4.95 meters

Answer

The remaining rope = 4.95 * 100 = 495 cm

5 0
3 years ago
Can someone help me with question e please ? ​
MAXImum [283]

Answer:

Step-by-step explanation:

a) The domain is R- all real numbers.

b) The domain is R- all real numbers.

c) we need

x^{2}-4\neq  0\\x^{2} \neq 4\\x\neq 2\\and\\x\neq -2

So the domain is R\{-2, 2}

d)

we need

x^{2}+x-2\neq  0\\x\neq 1\\and\\x\neq -2

So the domain is R\{-2, 1}

e)

we need: x-1>0 or x> 1

So the domain is (1,+∞)

6 0
3 years ago
Classify this expression based on the number of terms: 4a^2+9ab^2-15b^3. A.Monomial B.Binomial C.Trinomial D.Polynomial
kirza4 [7]
It is a trinomial because it has 3 terms.
3 0
3 years ago
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