All categories

3 years ago

-3.75+2(-4x+6.1)-3.25

Mathematics

1 answer:

Pani-rosa [81]3 years ago

3 0

The value of x is 0.65

Step-by-step explanation:

This solution is given by solving the given problem using BODMAS rule.

This means that the steps to be followed to find the solution should be in the order of BODMAS rule.

B- Bracket, O- of, D- Division, M- Multiplication, A- Addition, S- Subtraction.

This rule states that the 1st operation must be done for Brackets.

⇒ -3.75+2(-4x+6.1)-3.25 = 0

⇒ -3.75 -8x + 12.2 -3.25 = 0

The addition operation should be performed next and then followed by subtraction.

⇒ -8x -7+ 12.2 = 0

To find the value of x :

Keeping the x term alone on one side and moving the constants on other side,

⇒ -8x = -12.2 + 7

⇒ -8x = -5.2

⇒ x = 5.2/8

⇒ x = 0.65

You might be interested in

The quadratic function below has an axis of symmetry through x = -4; a vertex at (-4, -9) and zeroes at x = -7 and x = 0.

Pavlova-9 [17]

Answer:

True

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 9), thus

y = a(x + 4)² - 9

To find a substitute the coordinates of the zero (- 7, 0) into the equation.

0 = a(- 7 + 4)² - 9, that is

0 = 9a - 9 ( add 9 to both sides )

9a = 9 ( divide both sides by 9 )

a = 1, thus

y = (x + 4)² - 9 ← expand factor using FOIL

y = x² + 8x + 16 - 9

y = x² + 8x + 7

4 0

3 years ago

Solve Inequality -14x > -112

den301095 [7]

Answer:

x <8

Step-by-step explanation:

-14x > -112

Divide each side by -14. Remember that flips the inequality

-14x/-14 < -112/-14

x <8

8 0

3 years ago

Read 2 more answers

What's the distance between (5, 13) and (9, 1)

givi [52]

Answer: 16

Step-by-step 8+8

5 0

3 years ago

Plz help me with this questions and show working out thanks

Paraphin [41]

Answer: The steps and answers to the first two are below but you need to understand slope = change in y / change in x = y2 - y1/ x2 - x1

And you need to understand y = mx + c

m= slope c is y intercept

Substitute either point given - only use one as the x and y and find c

Step-by-step explanation:

1. You need to follow the steps -

the point is given as (2,5) = (x,y)

So what this means is x =2 and y =5

Simple substitutions is the step 5 = 3 x 2 + c

5 = 6 + c or easier to see is c + 6 =5

subtract 6 from both sides c + 6 = 5

-6 -6

__________________

c = -1

x1,y1 x2,y2

( 3,2) and (5,6) are two points on the line

you already calculate the slope which is m = noy2-y1/x2-x1 = 6-2/5-3 = 4/2 = 2

Remember y= mx + c

y = 2 x + c

now substitute in (3,2) which is (x1, y1) into the x and y in your equation

2 = 2 (3) + c

2 = 6 + c

subtract 6 from both sides

-4 = c

Now you should use this and do your last question yourself

5 0

2 years ago

Madeline drove 180 miles in 4 hours. If she drove at a constant rate, how far did shetravel in one hour?On the double number lin

Tcecarenko [31]

We have a question on motion with the elements of distance, time taken and speed.

This question in particular is asking us for distance per unit time (in this case, hours).

We are required to find out how much distnace is covered in on hour and our approach will be as follows:

$\text{Speed= }\frac{\text{Distance}}{\text{time}}=\frac{180\text{miles}}{4\text{hours}}=\frac{45\text{ miles}}{1\text{ hour}}$

This right here just tells us that 4 hours, Madeline covered 180 miles and since her rate was constant (equal distances in equal times), then she also covered 45 miles in an hour.

Now we plot our number line.

8 0

1 year ago