Jackyn thinks that negative 1/2 is greater than 1/4 because it is farther from zero on the number line. Is her thinking correct ? Explain

Answers

Answer 1

Answer: I think Jackyn is correct because 1/2 is half, which means it is .50. So 1/4 would be much smaller than .50 except if it was 2/4. The bigger the number is in negative, the smaller the number.

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The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents the area of the rectangle?

Answers

The are of a rectangle can be obtained by using the formula

A=L*W

Since we are already given with the L, which is (6x-2), and the width, which is (x-1), the area of the rectangle is then

A = (6x-2)(x-1)

which, upon further simplification will give us

A = 6x^2-2x-6x+2

Combining like terms will yield

A = 6x^2-8x+2

Hence, the area of the specified rectangle is represented by the expression 6x^2 -8x +2.

The expression for the area of the rectangle is 6x²-8x+2.

What is area?

This is the region or space bounded by a plane shape.

To calculate the expression for the area of the triangle, we use the formula below

Formula:

A = lw............... Equation 1

Where:

A = Area of the rectangle
l = Length of the rectangle
w = Width of the rectangle.

From the question,

Given:

l = (6x-2)
w = (x-1)

Substitute these values into equation 1

A = (6x-2)(x-1)
A = 6x²-6x-2x+2
A = 6x²-8x+2

Hence, the expression for the area of the rectangle is 6x²-8x+2.

Learn more about area here: brainly.com/question/17713367

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What numerical or variable expression represents the number of days in 3 weeks

Answers

I don't think we will need to use a variable expression for this one.

3 weeks have 7 days, we know that.

So, the numerical expression would be 3 x 7 = 21

3: weeks
7: days
21: days in 3 weeks.

Hope this helped

since there are 7 days in one week
so 3 weeks = 3 X 7 = 21 days
so, 21 is the answer.

Need help on this!!! 7 points!!!

Answers

Answer:

P= $226,863.29

Step-by-step explanation:

Compounded Continously means

P= P₀e^(rt)

plug in givens

P=(47000)e^(0.0926*17)

Use Calculator

and get P= $226,863.29

Answer:

$226,863.29

Step-by-step explanation:

P = $47,000

r = 0.0926

t = 17

A = $47,000(2.718)^((0.0926)(17))$

A = $226,863.29

factor completely 4x5 − 20x4 − 36x3. 4(x5 − 5x4 − 9x3) x3(4x2 − 20x − 36) x2 − 5x − 9 4x3(x2 − 5x − 9)

Answers

Consider the polynomial $4x^5 - 20x^4 - 36x^3.$ It has three terms and their greatest common factor is $4x^3.$

Since

$4x^5=4x^3\cdot x^2,\n20x^4=4x^3\cdot 5x,\n36x^3=4x^3\cdot 9,$

then

$4x^5 - 20x^4 - 36x^3=4x^3(x^2-5x-9)$ (you write in brackets the same sign as the corresponding term has).

Answer: correct choice is D.

Answer: 4x^3( x^2 - 5x - 9)

Proof of validity is shown below.

If m∠3 = 54°, find the measure of each missing angle.

Answers

Uisbg multiple line and angle theorems, the values of each of the 14 angles are given.

Using the geometry theorems :

1.)

∠2 is a right angle = 90°

2.)

∠1 + ∠2 + ∠3 = 180° (sum of angle on a straight line)

90 + ∠1 + 54° = 180°

∠1 = (180 - 144) = 36°

(∠2 and ∠5) ; (∠3 and ∠6) ; (∠1 and ∠4) are vertically opposite ;

Hence,

∠4 = 36°

∠5 = 90°

∠6 = 54°

∠3 = ∠8 = 54° (corresponding angles)

∠9 + ∠8 = 180° (sum of angle on a straight line)

∠9 = (180 - 54) =126°

∠7 = ∠9 = 126° (vertically opposite angles)

∠8 = ∠10 = 54° (vertically opposite angles)

∠4 = ∠13 = 36° (corresponding angles )

∠12 + ∠13 = 180° (sum of angle on a straight line)

∠12 = (180 - 36) =126°

∠11 = ∠13 = 36° (vertically opposite angles)

∠12 = ∠14 = 126° (vertically opposite angles)

Learn more about angles :brainly.com/question/18868430?referrer=searchResults

Final answer:

To find the measure of the missing angles, use the fact that the sum of angles in a triangle is 180 degrees. Substitute the given value and solve for the missing angles. The measure of each missing angle is 126 degrees.

Explanation:

To find the measure of the missing angle, we can use the fact that the sum of angles in a triangle is 180 degrees. Since we know that m∠3 = 54°, and angles 1 and 2 are adjacent angles, we can use the equation:

m∠1 + m∠2 + m∠3 = 180

Substituting the given value for m∠3, we get:

m∠1 + m∠2 + 54 = 180

Now we can solve for the missing angles by rearranging the equation:

m∠1 + m∠2 = 180 - 54

m∠1 + m∠2 = 126

So, the measure of each missing angle is 126 degrees.