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3 years ago

PLSSS HELPPP MARKING BRAINLIST !!!!!!

Mathematics

1 answer:

ioda3 years ago

4 0

Answer:

First Option; 40,

Second Option; x = 3,

Third Option; x = - 5,

Fourth Option; x = 0

Step-by-step explanation:

Given the expression x^2 + 3 * ( x + 4 ), where x = 4;

x^2 + 3 * ( x + 4 ) ⇒ Substitute the value of 4 in replacement of x,

( 4 )^2 + 3 * ( 4 + 4 ) ⇒ Add the terms in ( ), taking 4^2 at the same time,

16 + 3 * ( 8 ) ⇒ By PEMDAS, multiply 3 by 8 first,

16 + 24 ⇒ And now add the remaining terms,

Solution; 40

This next equation is given to be 5 * ( 2x - 1 ) = 25, where we must solve for x;

5 * ( 2x - 1 ) = 25 ⇒ Distribute the 5 to the terms in ( ),

10x - 5 = 25 ⇒ Add 5 on either side of the equation,

10x = 30 ⇒ Divide 10 on either side of equation,

Solution; x = 3

Here we must solve for the value of x provided the equation 6x + 4 - x = 2x - 11;

6x + 4 - x = 2x - 11 ⇒ Add 11 on either side,

6x + 15 - x = 2x ⇒ Add x on either side of equation,

6x + 15 = 3x ⇒ Subtract 6x on either side,

15 = - 3x ⇒ Divide 3 on either side,

Solution; x = - 5 

Now we are given the equation 4 - ( 3x + 4 ) = - 9x, solving for the value of x;

4 - ( 3x + 4 ) = - 9x ⇒ Distribute the - 1 to all terms in ( ),

4 - 3x - 4 = - 9x ⇒ Add 3x on either side of equation,

4 - 4 = - 6x ⇒ Subtract 4 from 4,

0 = - 6x ⇒ Divide - 6 on either side,

Solution; x = 0

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If f(x)= -3x-5 and g(x)= 4x-2 find (f+g)(x)

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Known :

f(x) = -3x - 5

g(x) = 4x - 2

Asked :

(f+g)(x) = ...?

Answer :

(f+g)(x) = (-3x - 5) + (4x - 2)

= (-3x + 4x) + (-5 - 2)

= x + (-7)

= x - 7

So, the value of (f+g)(x) is x - 7

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Answer:

The two points solutions to the system of equations are: (2, 3) and (-1,6)

Step-by-step explanation:

These system of equations consists of a parabola and a line. We need to find the points at which they intersect:

$x^2-2x+3=-x+5\\x^2-2x+x+3-5=0\\x^2-x-2=0\\(x-2)(x+1)=0$

Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:

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Solving Rational Inequalities and use sign diagram to sketch the graph. Image attached for better understanding.

Digiron [165]

Answer:

x ∈ (-∞, -1) ∪ (1, ∞)

Step-by-step explanation:

To solve this problem we must factor the expression that is shown in the denominator of the inequality.

So, we have:

$x ^ 2-1 = 0\\x ^ 2 = 1$

So the roots are:

$x = 1\\x = -1$

Therefore we can write the expression in the following way:

$x ^ 2-1 = (x-1)(x + 1)$

Now the expression is as follows:

$\frac{(x-2) ^ 2}{(x-1) (x + 1)}\geq0$

Now we use the study of signs to solve this inequality.

We have 3 roots for the polynomials that make up the expression:

$x = 1\\x = -1\\x = 2$

We know that the first two are not allowed because they make the denominator zero.

Observe the attached image.

Note that:

$(x-1)\geq0$ when $x\geq-1$

$(x + 1)\geq0$ when $x\geq1$

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Finally after the study of signs we can reach the conclusion that:

x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)

This is the same as

x ∈ (-∞, -1) ∪ (1, ∞)

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