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Genrish500 [490]
3 years ago
14

Does the equation 2x-7=5+x have exactly one solution

Mathematics
1 answer:
Goshia [24]3 years ago
4 0

Answer:

12

Step-by-step explanation:

2x - 7 =5 +x

2x - x =5 +7

x =12 (one solution)

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Hello Please help me.
olga55 [171]

Answer:

Step-by-step explanation:

1) D

2) B

3) no solution

y ≤ 0.5x - 4 is area C including the red line

y ≥ 0.5x + 5 is area A including the blue line

3 0
3 years ago
In a recently administered iq test, the scores were distributed normally, with mean 100 and standard deviation 15. what proporti
iragen [17]

To solve for proportion we make use of the z statistic. The procedure is to solve for the value of the z score and then locate for the proportion using the standard distribution tables. The formula for z score is:

z = (X – μ) / σ

where X is the sample value, μ is the mean value and σ is the standard deviation

 

when X = 70

z1 = (70 – 100) / 15 = -2

Using the standard distribution tables, proportion is P1 = 0.0228

 

when X = 130

z2 = (130 – 100) /15 = 2

Using the standard distribution tables, proportion is P2 = 0.9772

 

Therefore the proportion between X of 70 and 130 is:

P (70<X<130) = P2 – P1

P (70<X<130) = 0.9772 - 0.0228

P (70<X<130) = 0.9544

 

Therefore 0.9544 or 95.44% of the test takers scored between 70 and 130.

6 0
3 years ago
A worker is installing blue and white square tiles in a kitchen. Blue tiles have different lengths than white tiles. A row of 8
ipn [44]

Answer:

8x + 16y = 39 and

40x + 8y = 42

Step-by-step explanation:

Let the length of the blue tiles is b inches and that of the white tiles is w inches.

So, given that a row of 8 blue tiles and 16 white tiles has a length of 39 inches and a row of 40 blue tiles and 8 white tiles has a length of 42 inches.

Therefore, we can write the system of linear equations that represents the relationship between the length if a blue tile and a white tile in inches as

8x + 16y = 39 and

40x + 8y = 42 (Answer)

4 0
3 years ago
The shorter leg of a right triangle is 8 less than the hypotenuse. The longer leg
CaHeK987 [17]

Answer:

b

Step-by-step explanation:

3 0
3 years ago
Which equation represents a line that passes through (–9, –3) and has a slope of –6?
larisa [96]

Answer:

y = - 6x - 57

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 6, thus

y = - 6x + c ← is the partial equation

To find c substitute (- 9, - 3) into the partial equation

- 3 = 54 + c ⇒ c = - 3 - 54 = - 57

y = - 6x - 57 ← equation of line

4 0
3 years ago
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