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3 years ago

Please solve this the question is in the picture

Mathematics

1 answer:

Dominik [7]3 years ago

7 0

Answer:

x : -3

Step-by-step explanation:

1) 15x-3(3x + 4) = 6 (distribute -3 to the numbers on the inside of parentheses)

2) 15x - 9x - 12 =6 (combine like terms 15x-9x = 6x)

3) -6x - 12 = 6 (add twelve to both sides, add the 12 to cancel out the 12)

4) -6x = 18 (divide the -6 on both sides)

5) x = -3

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could someone help me solve this equations with both comparison and elimination methods: 2(x+y)=120 and 2(2x+y/3)=170

Gnom [1K]

Answer:

y=21 X=39

Step-by-step explanation:

expand brackets on first equation: 2x+2y=120

now divide the second equation by 2 on both sides:

2x+y/3=85

then subtract the second equation from the first equation

so (2x+2y) - (2x+y/3)

the 2x on both sides cancel out and you get 5/3 y

this is equal to the sum of the first equation subtract the second equation which is 35

divide both sides by 5/3 and you get

y=21

substitute y in the first equation and you get X=39

4 0

2 years ago

I need help asappppppppp

Arada [10]

Answer:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached image below, to find more information about the graph

The equation is a piecewise function, that represents the price in dollars for the hours in an indoor park.

3 0

3 years ago

2. Using Vièta's theorem, find the solutions to the equation. a) x^2 - 3x + 2 = 0 b) x^2 + 2x - 15 = 0.

olga_2 [115]

Given:

$\begin{gathered} x^2-3x+2=0 \\ x^2+2x-15=0 \end{gathered}$

Required:

We need to find the solution by Vièta's theorem.

Explanation:

Compare 1st equation with

$ax^2+bx+c=0$

we get

$\begin{gathered} a=1 \\ b=-3 \\ c=2 \end{gathered}$

Vièta's theorem is

$\begin{gathered} x_1+x_2=-\frac{b}{a} \\ x_1x_2=\frac{c}{a} \end{gathered}$

$\begin{gathered} x_1+x_2=3 \\ x_1x_2=2 \end{gathered}$

now solve this equation and we get

$\begin{gathered} x_1=1 \\ x_2=2 \end{gathered}$

because addition of 1 and 2 is 3 and multiplication is 2

Now for 2nd equation

$\begin{gathered} a=1 \\ b=2 \\ c=-15 \end{gathered}$

apply Vièta's theorem

$\begin{gathered} x_1+x_2=-2 \\ x_1x_2=-15 \end{gathered}$

by this

$\begin{gathered} x_1=3 \\ x_2=-5 \end{gathered}$

because addition of 3 and -5 is -2 and multiplication is -15

8 0

1 year ago

Subtact: (3x + 4) - (x + 2)

stiv31 [10]

Ok this is the answer to this question 2(x+1)

8 0

3 years ago

Read 2 more answers

You randomly select an integer from 0 to 19 (inclusively) and then randomly select an integer from 0 to 24 (inclusively). What

Mila [183]

Answer:

The probability of selecting 5 both times is 0.002.

Step-by-step explanation:

We are given that you randomly select an integer from 0 to 19 (inclusively) and then randomly select an integer from 0 to 24 (inclusively).

And we have to find the probability of selecting 5 both times.

As we know that the probability of an event is given by;

Probability = $\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}$

Now, here between integer from 0 to 19 (inclusively);

Number of times 5 comes = 1

Total number of integers = 20

Similarly, between integer from 0 to 24 (inclusively);

Number of times 5 comes = 1

Total number of integers = 25

So, the required probability = $\frac{1}{20}\times \frac{1}{25}$

= $\frac{1}{500}$ = 0.002

Hence, the probability of selecting 5 both times is 0.002.

5 0

4 years ago