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3 years ago

1/6 +3/8 = in simplest form

Mathematics

1 answer:

MrRa [10]3 years ago

4 0

1/6+3/8=13/24 (13/24 is the simplest form in this case)

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Use the system of equations and graphs below to complete the sentence. x − 2 ⁢ y = 5 3 ⁢ x + 15 ⁢ y = − 6 Set of 4 graphs are re

Leno4ka [110]

The solution to the given system of linear equations is (3, -1)

<h3>Graph of Linear Equations</h3>

From the question, we are to determine the graph of the system of linear equations

The given system of equations is

x - 2y = 5

3x + 15y = -6

The graph of the given system of equation is shown below

From the graph,

The point of intersection of the lines is at (3, -1)

Hence, the solution to the given system of linear equations is (3, -1)

Learn more on Graph of Linear equations here: brainly.com/question/14323743

#SPJ1

4 0

1 year ago

Is the binomial a factor of the polynomial nominal function?

Sedbober [7]

The factors for given equation f(x)= $x^{3} +3x^{2} -25x-75$ .

(x-1) - No
(x-3) - No
(x+3) - Yes
(x-5) - Yes
(x+5) - Yes

Step-by-step explanation:

The given equation is f(x)= $x^{3} +3x^{2} -25x-75$ .

Add 0 at the end of the equation.

$x^{3} +3x^{2} -25x-75$ = 0.

Let us group the given equation,

$(x^{3} +3x^{2}) -(25x-75)$ =0.

⇒ Group 1: $x^{3} +3x^{2}$ .

Group 2: $- 25x +75$ .

Pull out factor from each group,

⇒ Group 1: $(x+3)(x^{2})$ .

Group 2: (x+3) (-25).

Join the two group since both (x+3) is common in both groups.

$(x+3)(x^{2} -25)$ =0.

One of the factor is (x+3).

Other factors are solved by the formula, $a^{2}-b^{2} = (a+b) (a-b)$ .

$(x+3)(x^{2} -25)$ = (x+5) (x-5) .

The other factors are (x+5) and (x-5).

7 0

3 years ago

The following system of equations can be used to

Damm [24]

Answer: • 6

• -4

•3

Step-by-step explanation:

8 0

2 years ago

In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r

iren2701 [21]

Answer:

 $f(x) = 1588.4x + 39000$ 

$f(15) = 62826$

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

$a = \frac{70768 - 39000}{20 - 0}$

$a = \frac{31768}{20}$

$a = 1588.4$

Next, is to determine the formula using:

$y - y_1 = a(x - x_1)$

Considering :When x = 0; y = 39000, we have

 $y - 39000 = 1588.4(x - 0)$ 

 $y - 39000 = 1588.4x$ 

Make y the subject of formula

 $y = 1588.4x + 39000$ 

Express y as a function of x

 $f(x) = 1588.4x + 39000$ 

Solving (b): Income in 2005

In 2005, x = 15

So:

$f(x) = 1588.4x + 39000$ becomes

$f(15) = 1588.4 * 15 + 39000$

$f(15) = 62826$

3 0

3 years ago

16 ÷ 8 = 2

hjlf

The answer is D. 2 x 8= 16

3 0

2 years ago

Read 2 more answers