All categories

2 years ago

What is the correct solution to the equation 1 – (2x + 4) = –4x + 5?

Mathematics

2 answers:

lions [1.4K]2 years ago

5 0

$\\ \sf\longmapsto 1-(2x+4)=-4x+5$

$\\ \sf\longmapsto 1-2x-4=-4x+5$

$\\ \sf\longmapsto -2x-3=-4x+5$

$\\ \sf\longmapsto -2x+4x=5+3$

$\\ \sf\longmapsto 2x=8$

$\\ \sf\longmapsto x=\dfrac{8}{2}$

$\\ \sf\longmapsto x=4$

scoundrel [369]2 years ago

4 0

<h3>Answer: X=4</h3>

Step-by-step explanation:

$\Large \boldsymbol {} \sf 1-(2x+4)=-4x+5 \\\\1-2x-4=-4x+5 \\\\4x-2x=5+3 \\\\2x=8 \\\\\boxed{\sf x=4}$

You might be interested in

Is x+y+1=0 a tangent of both y^2=4x and x^2=4y parabolas?

Lubov Fominskaja [6]

Answer:

yes

Step-by-step explanation:

The line intersects each parabola in one point, so is tangent to both.

For the first parabola, the point of intersection is ...

y^2 = 4(-y-1)

y^2 +4y +4 = 0

(y+2)^2 = 0

y = -2 . . . . . . . . one solution only

x = -(-2)-1 = 1

The point of intersection is (1, -2).

For the second parabola, the equation is the same, but with x and y interchanged:

x^2 = 4(-x-1)

(x +2)^2 = 0

x = -2, y = 1 . . . . . one point of intersection only

___

If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.

_____

Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.

7 0

3 years ago

pls help will give brainliest Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Base

kaheart [24]

Answer:

First "order of operations" mistake: step 2

First arithmetic mistake: step 4

Step-by-step explanation:

As we understand Rena's work, she wants to simplify ...

$\left(\dfrac{x^{-3}y^{-2}}{2x^4y^{-4}}\right)^{-3}$

for x = -1 and y = 2.

Her work seems to be ...

$\text{Substitute $x=-1$ and $y=2$ into the expression}\\\\\left(\dfrac{(-1)^{-3}2^{-2}}{2(-1)^42^{-4}}\right)^{-3}\qquad\text{no error}$

$\text{Simplify the parentheses}\\\\\left(\dfrac{2^4}{2(-1)^4(-1)^32^2}\right)^{-3}=\left(\dfrac{2^2}{2(-1)^7}\right)^{-3}\qquad\text{order of operations error}$

$\text{Evaluate the power to a power}\\\\\dfrac{2^{-6}}{2^{-3}(-1)^{21}}\qquad\text{no error}$

$\text{Use reciprocals and find the value}\\\\\dfrac{1}{2^32^6(-1)^{21}}=\dfrac{1}{8\cdot 64\cdot (-1)}=\dfrac{-1}{512}\qquad\text{error: $2^3$ is used instead of $2^{-3}$}$

_____

So, the first arithmetic error is in Step 4. However, the order of operations requires exponents be evaluated first. Doing that makes step 2 look like ...

$\left(\dfrac{-\dfrac{1}{4}}{2(1)\dfrac{1}{16}}\right)^{-3}=(-2)^{-3}\qquad\text{proper Step 2}$

We expect your answer is supposed to be Step 4.

7 0

3 years ago

50 points and brainliest!!!!! fast pls!! (08.02)A pair of equations is shown below. x + y = 5 y = 1/2 x + 2 If the two equations

likoan [24]

The answer would be C (2,3)

5 0

3 years ago

What you did to solve this problem?

aev [14]

Answer:

x=8.6

Step-by-step explanation:

0.5x=4.3

/0.5 /0.5

x=8.6

3 0

3 years ago

Answer 15 points <br> ( don’t answer if you don’t the answer )

BabaBlast [244]

Answer:

V=1/3hπr². Basically, 1/3 x height x 3.14 (pi) x radius squared.

Step-by-step explanation:

The formula of figure 2 would be 1/3 x 15 x 3.14 x 8 squared. The volume of figure 2 would be 1005.30965

the formula for figure 3 would be 1/3 x 15 x 3.14 x 4 squared. The volume of it would be 251.32741

hope this helps! (Also please make me brainliest if this helps u :) )

8 0

2 years ago