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3 years ago

Twice the sum of four and x is three less than x.

Mathematics

1 answer:

aliya0001 [1]3 years ago

7 0

Answer:

-11

Step-by-step explanation

Condition:

2(4+x)=x-3

8+2x=x-3

Combining similar terms

8+3=x-2x

11=-x

x=-11

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Solve the equation using the method of factorisation-

saul85 [17]

Answer:

X = 9,X= -5, a = 2, b = -13

Step-by-step explanation:

For (1),

Using Cross-factorization,

it can be reduced to (X - 9)(X + 5) = 0

Equate each factor to 0:

we have X = 9 and X = -5

For (2),

It is the case of completing the Square,

add 4 so we get the completed square ( we want the form X^2 + 2a + a^2)

(X^2 + 4X + 4) - 9

can be simplified to (X+2)^2 -9

However since we added 4 it means we have to subtract 4

So it becomes (X+2)^2 -9 -4

= (X+2)^2 -13

6 0

3 years ago

What are the domain and range of g of x equals the square root of the quantity x plus 4?

boyakko [2]

Using it's concept, it is found that the domain and range of the function are given by:

D: [–4, ∞) and R: [0, ∞)

<h3>What are the domain and the range of a function?</h3>

The domain of a function is the set that contains all the values of the input.

The range of a function is the set that contains all the values of the output.

In this problem, the function is:

$g(x) = \sqrt{x + 4}$

The square root function does not exist for negative values, hence the domain is represented by:

$x + 4 \geq 0 \rightarrow x \geq -4$

The range of the square root function is $x \geq 0$ , which remains the same as there are no vertical translations.

Hence the correct option is given by:

D: [–4, ∞) and R: [0, ∞)

More can be learned about domain and range of functions at brainly.com/question/10891721

4 0

2 years ago

Solve for the following equation for x: 6(4x+5x)=3(x+8)+3<br> round to the nearest hundredth

Lelu [443]

Answer:

Decimal Form: x= 0.142857

Exact Form: x= -1/7

Step-by-step explanation:

6 0

3 years ago

HURRY! (NO LINKS PLEASE)

baherus [9]

Hi!

To solve this, we use the slope equation $\frac{y1-y2}{x1-x2}$

With numbers in the equation it looks likes this:

$\frac{9-6}{1-6} = \frac{3}{-5}$ or $\frac{-3}{5}$

<u><em>Therefore your answer is D.</em></u>

Hope this helps! :D

5 0

2 years ago

The diagram shows a semi circle inside a rectangle of length 140m. the semi circle touches the rectangle at P, Q and R. Calculat

exis [7]

Answer: 250m

Step-by-step explanation:

Length of rectangle = 140m

Length of rectangle = diameter of semicircle = 140m

Therefore, Radius(r) = 140m / 2 = 70m

Perimeter of the shaded region:

Length of tangent at P + length of tangent at Q + shaded portion of arc(AB)

Length of tangent = diameter / 2

Length of tangent = 70m

Perimeter of a circle = 2πr = 2 × 22/7 × 70 = 440m

shaded portion = 440 / 4 = 110m

Therefore, perimeter of shaded portion equals

70m + 70m + 110m = 250m

4 0

3 years ago