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11111nata11111 [884]

3 years ago

10

in order to receive a b on an essay, the grade must be no lower then 82% and no higher than an 89%.write a compound inequality t

o represent the range of scores to earn a B on the essay

1 answer:

fomenos3 years ago

7 0

Answer:

0.82 ≤ x ≤ 0.89

Step-by-step explanation:

hope this helps, pls mark brainliest :D

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The difference between two numbers is 9 and the product of the numbers is 162. Find the two numbers

fiasKO [112]

Let the no be X and Y

acc to ques....

x-y=9 .........1

xy=162 ..........2

substituting value from 1 in 2 we get;

x=9+y

[9+y][y] = 162

y^2+9y = 162

y^2 + 9y - 162=0

y^2 + 18y - 9y - 162=0

y[y+18] + 9[y+18]=0

[y+9][y+18}

y= -9.................................3

y= -18......................................4

case 1 :

y= -9

x = 9-9=0

case 2:

y= -18

x= 9-18 = -9

7 0

3 years ago

Find the point of intersection (if any) of the following pairs of lines: a) x – 2y +1=0 2x + 3y – 7 = 0 b) x-2y+11=0 -x+2y-13 =

pychu [463]

Answer:

a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

2x + 3y - 7 = 0

To find the point of intersection, we need to solve the system of equations and the result will be the point of intersection (x,y)

$x-2y+1=0\\x= 2y-1$

Now we substitute x in the second equation:

$2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7$

Now we substitute y in our first equation.

$x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7$ .

The point of intersection is (11/7, 9/7)

b) x -2y +11 =0

-x + 2y - 13 =0

We are going to follow the same procedure:

$x-2y+11=0\\x=2y-11$

$-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2$

Since this system of equations doesn't have a solution, the system has no point of intersection.

5 0

3 years ago

Find the value of x (2³x+1)° 52° The value of x is

UkoKoshka [18]

Answer:

Its 1 because you have an exponent of 0

Step-by-step explanation:

7 0

3 years ago

Find an equation of a line that is tangent to the graph of f and parallel to the given line. Please see picture

ivanzaharov [21]

Answer:

y = 3x - 2 (smaller y-intercept)

y = 3x + 2 (larger y-intercept)

Step-by-step explanation:

First let's write the generic equation of a line:

y = ax + b

This line needs to be parallel to the line 3x - y + 5 = 0, so it needs to have the same slope of this line.

The line 3x - y + 5 = 0 has a slope of 3, so our line has a = 3:

y = 3x + b

Now we need to find the values of b that make this line tangent to the function f(x) = x^3

Let's first find the derivative of f(x) in relation to x:

df(x)/dx = 3x^2

This derivative is the slope of the tangent line to the function for any value of x. We need a slope of 3, so:

3x^2 = 3

x^2 = 1

x = ±1

Now, to find the y-values, we have:

f(1) = 1^3 = 1

f(-1) = (-1)^3 = -1

So, using the points (1,1) and (-1,-1) in our parallel line, we have:

first line using (1,1) : 1 = 3*1 + b

b = -2

second line using (-1,-1) : -1 = -3*1 + b

b = 2

The value of b is the y-intercept of the line, so the line with smaller y-intercept is y = 3x - 2, and the line with larger y-intercept is y = 3x + 2

8 0

3 years ago

XLiV represents 64 true ya false

V125BC [204]

Answer:

False

Step-by-step explanation:

Given

$XLIV = 64$

Required

True or False

The above numeral can be split as follows:

$XLIV = XL + IV$

X means 10 and L means 50.

But because X (10) which is smaller comes before L (50), XL is executed as:

$XL = -10 + 50$

$XL = 40$

In Roman numerals;

$IV = 4$

Substitute 40 for XL and 4 for IV.

$XLIV = 40 + 4$

$XLIV = 44$

Hence;

<em /> $XLIV = 64$ <em> is false</em>

7 0

3 years ago