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3 years ago

Urgent Please show steps!!! 100 POINTS

Mathematics

1 answer:

NeTakaya3 years ago

7 0

Answer: p(-4= -255

Step-by-step explanation:

p(x)=3x3-2x2+6x-4 The remainder theorem states that when we divide a polynoical hope this helps

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Sales for a company were 6 million dollars more the second year than the first, and sales for the third year were tripled the sa

miss Akunina [59]

Sales for the first year were 2 millions of dollars

<h3>Further explanation</h3>

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

<em>m → gradient of the line</em>

<em>( 0 , c ) → y - intercept</em>

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

$\large {\boxed {m = \frac{y_2 - y_1}{x_2 - x_1}}$

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

$\large {\boxed {y - y_1 = m ( x - x_1 )}}$

<em>Let us tackle the problem!</em>

Let:

<em>Sales for the first year = s₁</em>

<em>Sales for the second year = s₂</em>

<em>Sales for the third year = s₃</em>

<u>Given:</u>

s₂ = 6 + s₁

s₃ = 3s₂

s₃ = 24

<u>Unknown:</u>

s₁ = ?

<u>Solution:</u>

$s_3 = 3s_2$

$24 = 3s_2$

$s_2 = 24 \div 3$

$s_2 = 8$

$s_2 = 6 + s_1$

$8 = 6 + s_1$

$s_1 = 8 - 6$

$s_1 = 2$

<h2>Conclusion:</h2>

<em>Sales for the first year = </em><em>2 millions of dollars</em>

<h3 /><h3>Learn more</h3>

Inverse of Function : brainly.com/question/9289171
Rate of Change : brainly.com/question/11919986
Graph of Function : brainly.com/question/7829758

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Function

Keywords: Function , Trigonometric , Linear , Quadratic

6 0

3 years ago

Read 2 more answers

Write the equation of the line with slope -2 and passing through the point (-3,5)

MrRissso [65]

Pretty sure this is correct

5 0

4 years ago

find the value of the letter in each of the following and give reasons for the steps involved 1 2 A+6 A B=A 0 9

nekit [7.7K]

Question:

Find the value of the letter in each of the following and give reasons for the steps involved:

1 2 A

+ 6 A B =

A 0 9

Answer:

128 + 681 = 809

Step-by-step explanation:

Here, let's use the general form of numbers where any letter must represent one value and each digit must be represented by just one letter.

Take the following:

A = 8

B = 1

Thus, A +B = 8 + 1 = 9

Also add:

8 + 2 = 10

In general form, tens digit is zero and the 1 is carried over.

I.e, A = 1 + 6 + 1 = 8

We can now see that,

A = 8

B = 1

Therefore,

1 2 A

+ 6 A B =

A 0 9

Will be written as:

128 + 681 = 809

4 0

4 years ago

A box (with no top) is to be constructed from a piece of cardboard of sides a and b by cutting out squares of length h from the

Drupady [299]

<span>h = (19 - sqrt(97))/6, which is approximately 1.525190366 The volume of the box will be V = lwh And l will be a - 2h And w will be b - 2h So using the above, the volume of the box will be V = lwh V = (a - 2h)(b - 2h)h V = (11 - 2h)(8 - 2h)h V = (88 - 22h -16h + 4h^2)h V = (88 - 38h + 4h^2)h V = 88h - 38h^2 + 4h^3 Since you're looking for a maximum, that screams "First derivative" So let's calculate the first derivative of the function and solve for 0. V = 88h^1 - 38h^2 + 4h^3 V' = 1*88h^(1-1) - 2*38h^(2-1) + 3*4h^(3-1) V' = 1*88h^0 - 2*38h^1 + 3*4h^2 V' = 88 - 76h + 12h^2 We now have a quadratic equation. So using the quadratic formula with A=12, B=-76, and C=88, calculate the roots as: (19 +/- sqrt(97))/6 which is approximately 1.525190366 and 4.808142967 We can ignore the 4.808142967 value since although it does indicate a slope of 0, it produces a negative width and is actually a local minimum of the volume function. So the optimal value of h is (19 - sqrt(97))/6, which is approximately 1.525190366</span>

5 0

4 years ago

The ratio of the measures of the angles of a triangle is 4:6:8. Find the measure of the largest angle.

garri49 [273]

Answer:

80°

Step-by-step explanation:

The angles can be written as 4x, 6x, and 8x. Since the sum of angles in a triangle is 180 degrees we can write:

4x + 6x + 8x = 180

18x = 180

x = 10 which means the largest angle (8x) = 8 * 10 = 80°

3 0

3 years ago