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Karolina [17]
3 years ago
14

Given the expression 2(3x + 1), what would be the resulting equivalent expression after the distributive property is applied?

Mathematics
2 answers:
Airida [17]3 years ago
7 0

Answer:

6x + 2

Step-by-step explanation:

2 x 3= 6

2 x 1= 2

Margaret [11]3 years ago
6 0

Answer:

6x + 2

Step-by-step explanation:

2(3x + 1)

Multiply 2 with 3x and 1.

<u>6x + 2</u>

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Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy
tia_tia [17]

Answer:

84 ounces of pure gold

Step-by-step explanation:

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

Pure gold = 100% gold

Let the number of ounces of pure gold = x

Hence, we have the equation

40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces

= 0.4 × 60 + 1x = 0.75(60 + x)

= 24 + x = 45 + 0.75x

Collect like terms

x - 0.75x = 45 - 24

0.25x = 21

x = 21/0.25

x = 84 ounces

Therefore, we need 84 ounces of pure gold

6 0
3 years ago
Describe the end behavior of a ninth-degree polynomial with a negative leading coefficient
Degger [83]

Given:

The degree of polynomial = 9

Leading coefficient is negative.

To find:

The end behavior of the polynomial.

Solution:

Let the polynomial be P(x).

We have,

Degree of polynomial = 9, which is odd.

Leading coefficient is negative.

If the degree of a polynomial is odd and leading coefficient is negative, then

P(x)\to \infty\text{ as }x\to -\infty

P(x)\to -\infty\text{ as }x\to \infty

Therefore, the end behavior of the given polynomial is P(x)\to \infty\text{ as }x\to -\infty,P(x)\to -\infty\text{ as }x\to \infty.

5 0
3 years ago
Write the algebraic expression to represent "Eight<br> more than a number".
fenix001 [56]

Answer:

8<x

Step-by-step explanation:

Allagater eats the bigger number

6 0
3 years ago
Algebra 2: PLEASE HELP ME!!
vfiekz [6]

Looks more like Trig than Algebra II

They want us to apply the sum angle formula to \sin(x + \frac{5 \pi}{6})

5π/6 is 150°; I find it easier to think in degrees.

When the tangent of x is 3/4 that's a right triangle with opposite 3, adjacent 4 so hypotenuse 5. So a sine of 3/5 and a cosine of 4/5, both positive because we're told x is in the first quadrant.

The sine sum angle formula is

\sin(a+b) = \sin a \cos b + \cos a \sin b

\sin(x+\frac{5\pi}{6}) = \sin x  \cos \frac{5\pi}{6} + \cos x \sin \frac{5\pi}{6}

We know sin 150° = sin 30° = 1/2 and cos 150° = - cos 30° = -√3/2

\sin(x+\frac{5\pi}{6}) = \frac 3 5  (- \sqrt{3}/2)  + \frac 4 5 (1/2)

\sin(x+\frac{5\pi}{6}) = \dfrac{ 4- 3\sqrt{3}}{10}

Third choice

3 0
3 years ago
Find the value of x.
SVETLANKA909090 [29]

9514 1404 393

Answer:

  103

Step-by-step explanation:

The sum of angles in a quadrilateral is 360°, so the measure of x° is ...

  x° = 360° -127° -90° -40° = 103°

  x = 103

5 0
3 years ago
Read 2 more answers
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