All categories

3 years ago

1.Which statement about the equation is true? x + 2 = x + 4 2. 5(w−1)−2=5w+7

Mathematics

1 answer:

Marysya12 [62]3 years ago

7 0

Answer:

Both equations have no solution.

Step-by-step explanation:

The first equation is:

$x + 2 = x + 4$

Group the similar terms to get:

$x - x = 4 - 2$

$0 = - 2$

This equation has no solution because

$0 \ne - 2$

The second equation is

$5(w - 1) - 2 = 5w + 7$

We expand the parenthesis to obtain:

$5w - 5 - 2 = 5w + 7$

$5w - 7= 5w + 7$

Group similar terms:

$5w -5w = 7 + 7$

$0 = 14$

This equation does not also have solution because

$0 \ne14$

You might be interested in

Opening day at the new york state fair in 2012 had an attendence of 46,753. Dicide which place value to round 46,753 to if you w

Nutka1998 [239]

Dik butter lol this is fun I am getting points for these answers

7 0

3 years ago

identify and equation in point-slope form for the line perpendicular to y=-1/2x-7 that passes through (-3,-2)

bazaltina [42]

Answer:

y +2 = 2(x +3)

Step-by-step explanation:

The equation in point-slope form for a line with slope m through point (h, k) is ...

y -k = m(x -h)

The slope of your given line is the coefficient of x, -1/2. The slope of a perpendicular line will be the negative reciprocal of that: -1/(-1/2) = 2. So, you have m = 2, (h, k) = (-3, -2), and your desired equation is ...

y -(-2) = 2(x -(-3)) . . . . . . which can be simplified to ...

y +2 = 2(x +3)

8 0

4 years ago

Please help I can't work out the gradient

Annette [7]

Answer:

a is 2.5

b is 1

gradient is rise over run

8 0

4 years ago

Select Translation, Reflection, or Rotation to identify the single transformation that transforms ∆PQR to ∆P'Q'R'.

Sergeeva-Olga [200]

Part A

Represents 'Reflection'. This is so because the y-coordinates of P, Q and R remain the same in P' , Q' and R', and only the x-coordinate changes. Hence, it is reflection along the y-axis

Part B

Represents 'Rotation'. Here, the x-coordinates and y-coordinates of each of the points have changed, and the figure has been rotated clockwise around the point Q by 90°

Part C

Represents a combination of 'Translation' and 'Reflection'. Here either of the two has happened:

First, all the points have been moved downwards by a fixed distance, thus changing the y-coordinate. Then, the resulting image has been reflected along the y-axis, thus changing the x-coordinate of all the points
First, all the points have been moved to the right by a fixed distance, thus changing the x-coordinate. Then, the resulting image has been reflected along the x-axis, thus changing the y-coordinate of all the points

Part D

Represents 2 'Translations'. Here the image has been shifted by a fixed distance in both the downward direction and the right direction. Thus, it has resulted in change of both x and y coordinates.

8 0

4 years ago

A poll agency reports that 75% of teenagers aged 12-17 own smartphones. A random sample of 234 teenagers is drawn. Round your an

GalinKa [24]

Answer:

If our random variable of interest for this case is X="the number of teenagers between 12-17 with smartphone" we can model the variable with this distribution:

$X \sim Binom(n=234, p=0.75)$

And the mean for this case would be:

$E(X) =np = 234*0.75= 175.5$

And the standard deviation would be given by:

$\sigma =\sqrt{np(1-p)}= \sqrt{234*0.75*(1-0.75)}= 6.624$

Step-by-step explanation:

If our random variable of interest for this case is X="the number of teenagers between 12-17 with smartphone" we can model the variable with this distribution:

$X \sim Binom(n=234, p=0.75)$

And the mean for this case would be:

$E(X) =np = 234*0.75= 175.5$

And the standard deviation would be given by:

$\sigma =\sqrt{np(1-p)}= \sqrt{234*0.75*(1-0.75)}= 6.624$

3 0

3 years ago