All categories

2 years ago

Solve each equation. Record your work and check your solution. a. 5(x-2)+(-9)= -7(1-x)

Mathematics

1 answer:

Daniel [21]2 years ago

8 0

The solution for equation is x = -6

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

$5(x-2) + (-9) = -7(1-x)$

We have to solve the equation

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

Therefore, solve for brackets in given equation

$5(x-2) + (-9) = -7(1-x)\\\\5x - 10 -9 = -7 + 7x$

Solve for terms in left hand side of equation

$5x - 19 = -7+7x$

Move the variables to one side and constants to other side

$7x -5x = -19+7\\\\2x = -12\\\\Divide\ both\ sides\ by\ 2\\\\x = -6$

Thus the solution for equation is x = -6

You might be interested in

Factor x2 – 3x – 28.

wariber [46]

Values needed to complete the X diagram are:

On top -28, On the bottom: -3 and On the sides: -7 and 4.

<h3>What do you mean by factorization?</h3>

An algebraic expression is factorised when it is written as the product of its factors.

The given equation is :

F(x) = x²-3x-28

finding factors,

= x²-7x+4x-28

= x(x-7) +4(x-7)

= (x-7)(x+4)

Given general equation is ax²+bx+c,

on comparing with x²-3x-28

a = 1

b = -3

c = -28

ac = 1*(-28) = -28

To know more about factorization please visit:

brainly.com/question/23153500

#SPJ13

3 0

8 months ago

Rewrite in y=mx+b form and show ur work 2x+y=3x-7

Alenkasestr [34]

It would be y=x-7 just minus 2x on both sides and you get y=x-7

7 0

2 years ago

Paula salió de su casa rumbo al trabajo avanzo 8km al este y 13km al norte. Si hubiera un camino recto desde su casa a su trabaj

zhannawk [14.2K]

Answer:

15.26km

Step-by-step explanation:

Con la informacion de la pregunta e hecho un diagrama de la situacion. Podemos ver en el diagrama que el recorido forma un triángulo rectángulo. Entonces para saber la distancia que recorreria por el camino recto desde su casa a su trabajo tendriamos que calcular el valor de x, que se puede calcular usando el teorema de pitagoras que es el siguiente.

$a^{2} + b^{2} = c^{2}$

donde a y b son el ancho y el alto del triangulo y el c seria x

$8^{2} + 13^{2} = x^{2}$

$64 + 169 = x^{2}$

$233 = x^{2}$

$15.26 = x$

Finalmente, podemos ver que la distancia seria 15.26km

7 0

2 years ago

After a storm, two street lights with the same length are leaning against each

Ray Of Light [21]

Answer:

c = 4.79 feet

Step-by-step explanation:

Given question is incomplete without a picture; find the question with the attachment.

Two poles AD and DB of same length are leaning against each other.

Distance between the poles (AB) = 45 feet

m(∠ADB) = 180°- (60 + 50)°

= 70°

By sine rule,

$\frac{sin50}{AD}=\frac{sin70}{45}=\frac{sin60}{DB}$

$AD=\frac{45\times (sin50)}{sin70}$

= 36.68 ft

Similarly,

DB = $\frac{45\times sin60}{sin70}$

= 41.47 ft

Now c = DB - AD

= 41.47 - 36.68

= 4.79 feet

4 0

3 years ago

If g(x) = 4√x-8 , which statement is true?

Mariana [72]

We have the following function:

$g(x)=4\sqrt{x}-8$

So if we graph this function we will get the Figure below. Thus, let's study both the equation and the graph to get some conclusions. Therefore, we can assure these statements:

First. The function is defined only for $x\geq 0$ as shown in the Figure. This is also true because of $\sqrt{x}$ where $x$ must be greater (or equal) than zero.

Second. The range of the function are the values of $y\geq -8$ .

Third. If $x$ creases then $y$ always creases, too.

4 0

3 years ago

Read 2 more answers