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3 years ago

Hi, can someone help pls! Which of the following is a counterexample for the claim that √x^2 = x ?

Mathematics

1 answer:

Leto [7]3 years ago

7 0

Answer:

Step-by-step explanation:

x=-1 is the counter example as ((-1)2)^(1/2)=1 and not -1.

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Which are the solutions of x2 = –7x – 8?

vovangra [49]

Answer:

The solutions are:

$x_1=\frac{-7+\sqrt{17}}{2}$ $x_2=\frac{-7-\sqrt{17}}{2}$

Step-by-step explanation:

We have the following quadratic equation

$x^2 = -7x - 8$

We can rewrite the equation as follows

$x^2+7x + 8=0$

Now we use the quadratic formula to solve the equation

For an equation of the form $ax ^ 2 + bx + c = 0$ the quadratic formula is:

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

In this case:

$a=1,\ b=7,\ c=8$

Then:

$x=\frac{-7\±\sqrt{7^2-4(1)(8)}}{2(1)}$

$x=\frac{-7\±\sqrt{49-32}}{2}$

$x=\frac{-7\±\sqrt{17}}{2}$

$x_1=\frac{-7+\sqrt{17}}{2}$

$x_2=\frac{-7-\sqrt{17}}{2}$

7 0

3 years ago

Read 2 more answers

3.102 x 10^3 in standard form

postnew [5]

Answer:

3102x

Step-by-step explanation:

6 0

2 years ago

A cube with an edge of length s has a volume of 27 units.<br> What is the length of s?

matrenka [14]

Answer:

s = 3

Step-by-step explanation:

The volume formula for a cube is V = s^3, where “s” is the edge length. Since we know the volume and need to find “s,” we just do the inverse operation for an exponent, which is a radical. The cubed root of 27 is 3, so there’s your answer! Hope this is helpful & accurate. Best wishes.

5 0

3 years ago

Find the slope and make it into an equation Y=MX+B

MariettaO [177]

Answer:

Slope: 2

y = 2x + 50

Step-by-Step Solution:

Slope: rise/run = 40/20 = 4/2 = 2

y = mx + b

m= slope = 2

b= y-intercept = 50

y = 2x + 50

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3 years ago

Darren wins a coupon for $4 off the lunch special for each of 5 days he pays $75 for his 5 lunch specials. write and solve and e

Rufina [12.5K]

[$75 - $4(5)] / 5 = p

3 0

3 years ago