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4 years ago

8

Solve the equation (5x-7)-(2x plus 3) / 6x plus 11 equal to 8/3

1 answer:

Anika [276]4 years ago

4 0

Answer:

(5x-7)-(2x+3)/6x+11 = 8/3

cross multiplying...

3( 5x - 7 -2x - 3) = 8 ( 6x + 11)

3( 3x - 10 ) = 48x + 88

9x - 30 = 48x +88

9x - 48x = 88 + 30

- 39x = 118

x = - 118 / 39

x = - 3.026 (approx.)

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At which root does the graph of f(x) = (x + 4) 6(x + 7)5 cross the x-axis?<br> 0 -7<br> ООО

Maslowich

the root for which the graph of $f(x) = (x+4)^{6}(x+7)^{5}$ cross the x-axis i.e. value of y or f(x) = 0 is $x = -7$ .

<u>Step-by-step explanation:</u>

We have , f(x) = (x + 4) 6(x + 7)5 i.e. $f(x) = (x+4)^{6}(x+7)^{5}$ . We need to find root for which the graph of $f(x) = (x+4)^{6}(x+7)^{5}$ cross the x-axis i.e. value of y or f(x) = 0. Let's solve this:

⇒ $f(x) = (x+4)^{6}(x+7)^{5}$

⇒ $0 = (x+4)^{6}(x+7)^{5}$

⇒ $(x+4)^{6}(x+7)^{5} = 0$

Which means either $x+4 = 0\\x = -4$ or , $x+7=0\\x=-7$ . That means the root for which the graph of $f(x) = (x+4)^{6}(x+7)^{5}$ cross the x-axis i.e. value of y or f(x) = 0 is $x= -4$ or $x = -7$ . ∴ From given options , the root for which the graph of $f(x) = (x+4)^{6}(x+7)^{5}$ cross the x-axis i.e. value of y or f(x) = 0 is $x = -7$ .

3 0

4 years ago

Find the simple interest and the total amount after two years. Principal = 2500=2500 rupees Annual rate of interest = 9 \%=9%

Anettt [7]

Answer:

2,950 Rupees

Step-by-step explanation:

To find the simple interest, we can use the formula:

A = P(1 + rt)

Now we can simply substitute the values given in the formula.

Before anything, it is a good practice to define the values of each variable.

P = 2,500

r = 9% or 0.09

t = 2

Now we proceed to use the values in the formula.

A = 2,500(1 + (0.09 × 2))

A = 2,500(1 + 0.18)

A = 2,500( 1.18 )

A = 2,950.00 Rupees

4 0

3 years ago

How would I show that on a number line?

Yuliya22 [10]

Answer:

$6h+26\ge \:80\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:h\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}$

Please check the graph of a number line is also attached below.

Step-by-step explanation:

Given the inequality

$6h+26\:\ge \:\:80$

solving inequality

$6h+26\ge \:80$

subtract 26 from both sides

$6h+26-26\ge \:80-26$

Simplify

$6h\ge \:54$

Divide both sides by 6

$\frac{6h}{6}\ge \frac{54}{6}$

Simplify

$h\ge \:9$

Therefore,

$6h+26\ge \:80\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:h\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}$

Please check the graph of a number line is also attached below.

5 0

3 years ago

A loan company is offering interest free students’ loans to college students. Two students apply for loans. Student one borrows

Anit [1.1K]

Answer:

Step-by-step explanation:

It is

3400

5 0

3 years ago

What is the mean and median of 3,7,4,6,5

viktelen [127]

Mean = (3+7+4+6+5)/5= 5
Median(middle value) = 3, 4, 5, 6, 7= 5

3 0

3 years ago