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oee [108]
3 years ago
13

Judy claims that she can find 0.5 x 2.4 by dividing 2.4 into two equal parts. Is she correct? Draw a decimal model to explain

Mathematics
2 answers:
san4es73 [151]3 years ago
3 0
Yes because 2.4 in half is 1.2
AveGali [126]3 years ago
3 0

Answer:

Judy's claim to divide 2.4 by 2 is the same as multiplying 2.4 * 0.5 is:

  • <u>Correct</u>.

Step-by-step explanation:

Multiplying a number by 0.5 (whose fractional is 1/2) is the same as dividing this number by 2, this case is very easy to identify by making different examples in which said decimals and integers are used, checking that the result is the same:

EXAMPLES.

1. 12*0.5 = 6

   12/2 = 6

2. 3*0.5 = 1.5

   3/2 = 1.5

3. 5.5*0.5 = 2.75

   5.5/2 = 2.75

As you can see in the previous examples, performing the operation by both methods is correct.

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What is the image on segment Oj rotated 270 counterclockwise around point 0?
inysia [295]

Answer:

OL and M

Step-by-step explanation:

(1)

270° ÷ 30° = 9

Count 9 dashed lines from OJ counterclockwise, then

OJ → OL

(2)

120° ÷ 30° = 4

Count 4 dashed lines from R counterclockwise, then

R → M

6 0
3 years ago
F(x)=9 x^{3} +2x^2-5x+4 and g(x)=5x^3-7x+4. What is f(x)-g(x)? Show all of your steps and write your finial answer in factored f
olasank [31]

Answer:

{ -0.5 - √2,  0,  -.5 + √2 }

Step-by-step explanation:

Let's rewrite these two functions in a vertical column:

 f(x)=9 x^{3} +2x^2-5x+4

-g(x)=5x^3-7x+4

Now combine (through subtraction) like terms, in order of descending powers of x:

f(x) - g(x) = 4x^ 3 + 2x^2 + 2x

Let's do some preliminary factoring here.  Factor 2x out of each term, obtaining

f(x) - g(x) = 2x(2x^2 + x + 1)

First setting 2x = 0, we find that x = 0 is one solution.

Applying the quadratic formula to 2x^2 + x + 1, we see that a = 2, b = 1 and c = 1.  Then the two roots of this quadratic are:

      -1 plus or minus √(1^2 - 4(2)(1) )        -1 ± √(8)

x = ----------------------------------------------- = ---------------

                         2(1)                                         2

This simplifies to:

      -1 plus or minus √(1^2 - 4(2)(1) )        -1 ± 2√(2)

x = ----------------------------------------------- = ---------------

                         2(1)                                         2

Thus, the roots of f(x) - g(x) are { -0.5 - √2,  0,  -.5 + √2 }

7 0
3 years ago
Write parametric equations of the line 2x-y=3
dangina [55]
In this item we are given with the equation, 2x - y = 3. The equation contains two variables, x and y. We assume in this item that the value of x is independent of the value of y; however, y values depends on the given values of x. In parametric form, the equation would take the form,

    f(x) = y = ax + b

where a is the numerical coefficient of x and b is constant. Transforming the given equation to this form,

   f(x)  = y = 2x - 3
4 0
3 years ago
Read 2 more answers
Who wants brain i just need an answer of 75 divided by 66 without a decimal
Klio2033 [76]

Answer:

1.1

Step-by-step explanation:

If you dont want a decimal then you would just round, and get 1

7 0
2 years ago
What's the inverse of f(x)=3x^2+6?
djyliett [7]
Switch where the x and y are, then solve for y. f(x) = y.

x = 3y^2 + 6

x-6 = 3y^2

(x-6)/3 = y^2

f^-1(x) = y = sqrt((x-6)/3)
5 0
3 years ago
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