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muminat
3 years ago
9

(05.06)

Mathematics
1 answer:
Irina-Kira [14]3 years ago
8 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y-x> 0 -----> inequality A

y> x

The solution of the inequality A is the shaded area above the dashed line y=x

x+1<0 ----> inequality B

x < -1

The solution of the inequality B is the shaded area at the left of the dashed line x=-1 (open circle)

therefore

The solution of the system of inequalities in the attached figure

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1 A kid's bike costs
Semenov [28]

Answer:

$3.77

Step-by-step explanation:

The formula for the percentage of an amount is : \frac{percentage}{100}*amount

To work out the value of the tax you would first need to convert the percentage of 6.5 into a decimal. You can do this by dividing the percentage of 6.5 by 100, this gives you 0.065. This is because percentages are out of 100.

The next step is to multiply 0.065 by the amount of $58, this gives you 3.77. This is because we are working out 6.5% of $58 and so would multiply the decimal by the amount to work that out.

1) Divide 6.5 by 100.

6.5/100=0.65

2) Multiply 0.65 by 58.

58*0.65=3.77

8 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (-5, -4) and has a
Nikolay [14]

Answer:

             y + 4 = -³/₅(x + 5)      {the point-slope form of the equation }

             y = -³/₅x - 7               {the slope-intercept form of the equation}

             3x + 5y = - 35               {standard form of the equation}

Step-by-step explanation:

The point-slope form of equation is : y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through.

m = -³/₅

(-5, -4)    ⇒   x₀ = -5,  y₀ = -4

Therefore:

y - (-4) =  -³/₅(x - (-5))

y + 4 = -³/₅(x + 5)      ←  the point-slope form of the equation

y + 4 = -³/₅x - 3              {subtract 4 from both sides}

y = -³/₅x - 7               ←  the slope-intercept form of the equation

³/₅x + y = - 7                     {multiply both sides by 5}

3x + 5y = - 35               ←  standard form of the equation

5 0
3 years ago
A car covers 350 kilometre in 5 hours, how much distance does it cover in 7 hours?​
Firdavs [7]

Answer:

490 km

Step-by-step explanation:

350 km in 5 h

350 ÷ 5 = 70 km in an hour

70 × 7 = 490 km in 7 hours

5 0
3 years ago
Based upon extensive data from a national high school educational testing program, the standard deviation of national test score
Amiraneli [1.4K]

Answer:

The standard error of the mean is 10.11 points

Step-by-step explanation:

Standard error of mean = t×sd/√n

sd = 115 points, n = 500, degree of freedom = n-1 = 500-1 = 499, assuming a 95% confidence level, t-value corresponding to 499 degrees of freedom and 95% confidence level is 1.96501

Standard error of mean = 1.96501×115/√500 = 10.11 points (to the nearest 100th)

6 0
3 years ago
A number written in the form a + bi is called a _____ number.
Debora [2.8K]
The correct answer to this question is letter "A. complex." A number written in the form a + bi is called a complex number. The "i" part is the imaginary part of that expression, which is complex. Imaginary numbers are complex and it's hard to evaluate, sometimes.
3 0
4 years ago
Read 2 more answers
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