How do I write 15 3/5% as a fraction

Mabel claims that the expression (2 x 2 – x – 15) + ( x – 3)( x + 7) is equivalent to 3( x – 3)( x + k) .

Naily [24]

Answer:

k = 4

Step-by-step explanation:

In order for the claim to be true, (x-3) must be a factor of each of the terms in the first expression. That is, you must have that expression factor as ...

(x -3)(2x +5) +(x -3)(x +7)

Factoring out (x -3), we get ...

= (x -3)(2x +5 +x +7) = (x -3)(3x +12)

= 3(x -3)(x +4)

The value of k must be 4.

3 0

3 years ago

Which of the following is true of the location of an angle, Theta, whose tangent value is Negative StartFraction StartRoot 3 End

Anuta_ua [19.1K]

The value of theta has a 30-degree reference angle and is located in Quadrant II or IV.

Given to us

$tan \theta =-\dfrac{\sqrt{3}}{3}$

<h3>What is the value of $tan \theta =\dfrac{\sqrt{3}}{3}$ ?</h3>

To know the value $tan \theta =\dfrac{\sqrt{3}}{3}$ we will simplify the given expression,

$tan \theta =\dfrac{\sqrt{3}}{3}\\\\\\tan \theta =\dfrac{1}{\sqrt{3}}\\\\tan \theta =30^o$

Hence, the value of theta is 30°.

<h3>Finding the location of the - tan30°?</h3>

To know that the location of the -tan30°,

$tan30^o = -\dfrac{sin30^o}{cos30^o}$

As the value is negative, therefore, there can be two cases,

Case I: when the value of Sin30° is negative,

Case II: when the value of cos30° is negative.

Case I: when the value of Sin30° is negative,

If the value of Sin30° is negative, while the value of cos30° is positive, the θ will lie in the fourth quadrant.

Case II: when the value of Cos30° is negative,

If the value of Cos30° is negative, while the value of Sin30° is positive, the θ will lie in the second quadrant.

Hence, the value of theta has a 30-degree reference angle and is located in Quadrant II or IV.

Learn more about Quadrants:

brainly.com/question/350459

5 0

3 years ago

How many zeros will the product of 700 and 300 have?

UNO [17]

The answer would be 4.

700 x 300 = 210,000

4 0

3 years ago

Read 2 more answers

You have $20 and spend $2.50 a day for lunch, write and equation for the amount of money you have

Nesterboy [21]

Answer:

I don't know if this will be right but:

$20 - $2.50x

Step-by-step explanation:

You start of with 20 dollars, for each day (x), $2.50 will be taken out of your 20 each day.

6 0

3 years ago

The first shift of GME Corporation produced 2 1/5 times as many lanterns as the second shift. GME produced 6,240 lanterns in Nov

madreJ [45]

Answer:

First shift produced 4,290 lanterns and second shift produced 1,950 lanterns.

Step-by-step explanation:

Look at the attachment

3 0

3 years ago