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Kryger [21]
3 years ago
13

How many solutions exist for the given equation? 1/2(x + 12) = 4x – 1

Mathematics
2 answers:
miskamm [114]3 years ago
6 0
\frac{1}{2} (x+12)=4x-1

Multiply  both sides by 2 :

\frac{1}{2}(x+12)*2 = 4x*2-1*2

x+12=8x-2

x+12-12=8x-2-12

x=8x-14

Subtract 8 x from both sides:

x-8x=8x-14-8x

-7x=-14

Divide both sides by -7 :

\frac{-7x}{-7} = \frac{-14}{7}

x = \frac{14}{7}

x = 2

<span>1 solution</span>

hope this helps!


loris [4]3 years ago
6 0

Answer:

B.one

Step-by-step explanation:

there is only one solution to the problem.

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There are 13 days until her concert.

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A computer store bought a coat of $10 and sold if for $13 find the percent increase
lubasha [3.4K]

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30% increase

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3 0
2 years ago
Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form. (2 points) a y = 3x − 7 b y = 3x
sashaice [31]

Answer: y = 5x − 11

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (3,4) and (2, -1),

y2 = - 1

y1 = 4

x2 = 2

x1 = 3

Slope,m = (- 1 - 4)/(2 - 3) = - 5/- 1 = 5

To determine the y intercept, we would substitute x = 3, y = 4 and m= 5 into

y = mx + c. It becomes

4 = 5 × 3 + c

4 = 15 + c

c = 4 - 15 = - 11

The equation becomes

y = 5x - 11

8 0
2 years ago
Suppose that six individuals are interested in taking part in a study relating BMI to a number of health outcomes. The following
posledela

Answer:

a) Mean = 27.65

Median = 27.645

b) Relative Frequency = 33.33%

Step-by-step explanation:

We are given the following data set:

25.78, 21.06, 36.54, 29.51, 18.96, 34.05

a) Mean and Median

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{165.9}{6} = 27.65

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

Sorted data: 18.96, 21.06, 25.78, 29.51, 34.05, 36.54

\text{Median} = \displaystyle\frac{25.78 +29.51}{2} = 27.645

b) BMI above 30 is considered obese

Frequency of obese in the given sample = 2

Relative Frequency =

\displaystyle\frac{\text{Frequency of obese}}{\text{Total number}} = \frac{2}{6} = 0.3333 = 33.33\%

5 0
2 years ago
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