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2 years ago

5

Anne solved 6(2x) − 3 = 22x + 32 for x by first distributing 6 on the left side of the equation. She got the answer x = −5. Howe

ver, when she substituted −5 into the original equation for x, she saw that her answer was wrong. What did Anne do wrong, and what is the correct answer?

1 answer:

hammer [34]2 years ago

3 0

Answer:

Anne made a mistake when she multiplied all the left side equation with 6

Step-by-step explanation:

6(2x)-3 = 22x+32

Distribute 6 only to the term within the parenthesis

12x - 3 = 22x + 32

Collect like terms

12x-22x = 32+3

-10x = 32+3

-10x = 35

divide both sides of equation by -10

x = -3.5

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3 years ago

Find the uncertainty in a calculated average speed from the measurements of distance and time. Average speed depends on distance

zzz [600]

Answer:

$\frac{\Delta v}{v}=0.426$

Step-by-step explanation:

you have that the average sped is given by the following formula:

$v(x,t)=\frac{x}{t}$

The uncertainty formula for a division is given by:

$\frac{\Delta v}{v}=\sqrt{(\frac{\Delta x}{x})^2+(\frac{\Delta t}{t})^2}$ (1)

Δv: uncertainty in speed

Δx: uncertainty in the distance = 0.9m

Δt: uncertainty in time = 0.7s

x: distance = 8.1m

t: time = 1.7s

You replace the values of all parameters in the equation (1):

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2 years ago

Elza [17]

Answer:

$(b)\ 2x - 9 = -1$

$(c)\ -2x + 12 = 4$

$(e)\ 2(x - 10) = -12$

Step-by-step explanation:

Required

Which equals $x = 4$

$(a)\ 2x + 6 = 2$

Collect like terms

$2x = 2 - 6$

$2x = -4$

Divide both sides by 2

$x = -2$

$(b)\ 2x - 9 = -1$

Collect like terms

$2x = -1 + 9$

$2x = 8$

Divide both sides by 2

$x = 4$

$(c)\ -2x + 12 = 4$

Collect like terms

$-2x =- 12 + 4$

$-2x =-8$

Divide both sides by -2

$x = 4$

$(d)\ 2(x + 2) = 10$

Divide both sides by 2

$x + 2 =5$

Collect like terms

$x = 5-2$

$x = 3$

$(e)\ 2(x - 10) = -12$

Divide both sides by 2

$x - 10 = -6$

Collect like terms

$x = 10 - 6$

$x = 4$

Hence, the equations with the required solution are:

$(b)\ 2x - 9 = -1$

$(c)\ -2x + 12 = 4$

$(e)\ 2(x - 10) = -12$

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2 years ago

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2 years ago

Read 2 more answers

What is the area of the figure?<br><br> 40 ft2<br> 84 ft2<br> 96 ft2<br> can't be determined

mina [271]

Answer:

$A=80\ ft^2$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of an isosceles triangle (has two equal sides) plus the area of a rectangle

step 1

Find the area of the triangle

The area of the triangle is equal to

$A=\frac{1}{2}bh$

we have

$b=16\ ft$

To find out the height of the triangle Apply the Pythagorean Theorem

$10^2=(16/2)^2+h^2$

solve for h

$100=64+h^2$

$h^2=100-64$

$h^2=36$

$h=6\ ft$

<em>Find the area of triangle</em>

$A=\frac{1}{2}(16)(6)$

$A=48\ ft^2$

step 2

Find the area of rectangle

The area of rectangle is equal to

$A=LW$

we have

$L=16\ ft\\W=2\ ft$

substitute

$A=(16)(2)=32\ ft^2$

step 3

Find the area of the figure

Adds the areas

$A=48+32=80\ ft^2$

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3 years ago