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3 years ago

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WILL MARK BRAINLIST----- A particular map shows a scale of 1 cm:5 km. What would the map distance be (in cm) if the actual dista

nce to be represented is 14 km?

1 answer:

Rudiy273 years ago

8 0

Answer:

Given that the scale on map is 1 cm:5 km. hence, the distance of the map corresponding to the actual distance of 14 km.

Step-by-step explanation:

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If stratified random sampling with proportional allocation is used to select a sample of 25 high schools, how many would be sel

gregori [183]

Answer:

02 High Schools would be selected from the stratum with a percent-free-lunch value of 40 less than or equals x.

Step-by-step explanation:

As the sample size needed is 25 and total schools are 100 so this indicate 1 school in each 4 schools is to be selected. This is given as

$n=\frac{n_{total}}{n_{sample}}\\n=\frac{100}{25}\\n=4$

Now as the schools with percent free lunch are 8 so now

$n=\frac{n_{total}}{n_{sample}}\\n=\frac{8}{2}\\n=2$

So only 2 schools will be selected in this regard.

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Write a linear equation with a slope of 14 and y-intercept -12.

Vanyuwa [196]

Answer:

y=14x-12

Step-by-step explanation:

in the standard format y=mx+b, m is the slope and b is the y-intercept, so this equation would be y=14x-12 since the slope is 14 and the y-intercept is -12.

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4 years ago

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point negati

Anestetic [448]

A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:

(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where

(h,k) is the coordinates of the vertex
4a is the lactus rectum
a is the distance from the focus to the vertex

This is also called vertex form because the vertex (h,k) is grouped according to their variable.

Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be

y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
y = x²+6x+8
Rearrange the equation such that all x terms are on one side of the equation
x²+6x+___=y-8+___
The blank is designated for the missing terms to complete the square. Through completing the squares method, you can express the left side of the equation into (x-h)² form. This is done by taking the middle term, dividing it by two, and squaring it. So, (6/2)²=9. Therefore, you put 9 to the 2 blanks. The equation is unchanged because you add 9 to both sides of the equation.

The final equation is
x²+6x+9=y-8+9
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3 years ago

Solve each equation below for x show all work and check your answer by substituting it back into the equation and verifying that

Viefleur [7K]

Answer:

The equations are

(a) x/3 = 6

(b) (5x + 9)/2 = 12

(c) x/4 = 9/6

(d) 5/x = 20/8

The answers to the question are

(a) x = 18

(b) x = 3

(c) x = 6

(d) x = 2

Step-by-step explanation:

(a) x/3 = 6

Therefore x = 3×6 = 18

x =18

Substituting the value of x in the above equation, we have

18/6 = 3 verified

(b) (5x + 9)/2 = 12

Multiplying both sides by 2 gives

(5x + 9)/2 × 2 = 12×2 = 24

5x + 9 = 24 or x = (24-9)/5 = 3

Substituting the value of x in the above equation, we have

(5×3 + 9)/2 = 24/2 = 12 verified

x = 3

(c) x/4 = 9/6

Multiplying both sides by 4, we have

x/4×4 = 9/6×4 = 6

x = 6

Substituting the value of x in the above equation, we have

(6/4 = 9/6 = 3/2 verified

(d) 5/x = 20/8

Inverting both equations, we have

x/5 = 8/20

Multiplying both sides by 20 we have x/5 × 20 = 8/20 × 20 or 4x = 8 and x = 2

Substituting the value of x in the original equation, we have

2/5 = 2/5 = 8/20 verified

x = 2

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3 years ago