Ask question

Ask question

All categories

2 years ago

5

Which of the following are ordered pairs for the equation y = 11x + 1?

1 answer:

pishuonlain [190]2 years ago

8 0

Answer:

Step-by-step explanation:

Nfnfnfjjg

You might be interested in

You are given g(x)=4x^2 + 2x and

Strike441 [17]

Answer:

324

Step-by-step explanation:

Given:

$g(x)=4x^2+2x\\ \\f(x)=\int\limits^x_0 {g(t)} \, dt$

Find:

$f(6)$

First, find f(x):

$f(x)\\ \\=\int\limits^x_0 {g(t)} \, dt\\ \\=\int\limits^x_0 {(4t^2+2t)} \, dt\\ \\=\left(4\cdot \dfrac{t^3}{3}+2\cdot \dfrac{t^2}{2}\right)\big|\limits^x_0\\ \\=\left(\dfrac{4t^3}{3}+t^2\right)\big|\limits^x_0\\ \\= \left(\dfrac{4x^3}{3}+x^2\right)-\left(\dfrac{4\cdot 0^3}{3}+0^2\right)\\ \\=\dfrac{4x^3}{3}+x^2$

Now,

$f(6)\\ \\=\dfrac{4\cdot 6^3}{3}+6^2\\ \\=288+36\\ \\=324$

4 0

2 years ago

Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.

Setler79 [48]

Answer:

Therefore values of a and b are

$a=3\ and\ b = 2$

Step-by-step explanation:

Rewrite $x^{2}-6x+7=0$ in the form

$(x-a)^{2}=b$

where a and b are integers,

To Find:

a = ?

b = ?

Solution:

$x^{2}-6x+7=0$ ..............Given

Which can be written as

$x^{2}-6x=-7$

$(\frac{1}{2} coefficient\ of\ x)^{2}=(\frac{1}{2}\times -6)^{2}=9$

Adding half coefficient of X square on both the side we get

$x^{2}-6x+9=-7+9=2$ ...................( 1 )

By identity we have (A - B)² =A² - 2AB + B²

Therefore,

$x^{2}-6x+9=x^{2}-2\times 3\times x+3^{2}=(x-3)^{2}$

Substituting in equation 1 we get

$(x-3)^{2}=2$

Which is in the form of

$(x-a)^{2}=b$

On comparing we get

a = 3 and b = 2

Therefore values of a and b are

$a=3\ and\ b = 2$

4 0

2 years ago

Maria works as an electrician and earns $24.68/h. If she worked for 15 hours on one job, how much did she earn? *

rodikova [14]

Answer:

she would have $370.20

Step-by-step explanation:

24.68*15=370.2

8 0

2 years ago

Which formula gives the area of a rectangle?

Tpy6a [65]

Answer:

$L*W=Area$

Step-by-step explanation:

The formula Length x Width = Area is the correct formula for the area of a rectangle. The same formula works for a square!

6 0

2 years ago

Read 2 more answers

31 - 8a = 5 ( - 4 - 5a )

timama [110]

Answer:

Step-by-step explanation:

$31 - 8a = 5(-4 - 5a)$

First, on the right-hand side of the equation, let's distribute the $5$ to each term in the parenthesis:

$31 - 8a = -20 - 25a$

Now, let's move all the terms with an $a$ to the left-hand side, and everything else to the right-hand side of the equation:

$-8a + 25a = -20 - 31$

Let's combine like terms:

$17a = -51$

Finally, let's divide each side by $17$ to get $a$ by itself on the left-hand side of the equation:

$a = -3$

4 0

2 years ago