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3 years ago

What is the answer for x\6=5

2 answers:

7 0

Multiply each side of the equation by 6
and the answer jumps out at you.
(If you don't get 30, go back and check your work.)

Olegator [25]3 years ago

7 0

$\frac{x}{6}=5\ \ \ \ |multiply\ both\ sides\ by\ 6\\\\\not6^1\cdot\frac{x}{\not6_1}=6\cdot5\\\\\boxed{x=30}$

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Simplify the expression by factoring, showing the steps in your work.

alexdok [17]

Given:

$$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}$

To find:

The simplified expression by factoring.

Solution:

Let us factor the numerator:

$12 x^{2}+31 x+7$

31x can be written as 3x + 28x.

$=\left(12 x^{2}+3 x\right)+(28 x+7)$

Take 3x common in 1st two terms and 7 common in next two terms.

$=3 x(4 x+1)+7(4 x+1)$

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

$=(4 x+1)(3 x+7)$

In the same way, factorize the denominator:

$16 x^{2}+8 x+1$

8x can be written as 4x + 4x.

$=(16 x^{2}+4 x)+(4x+1)$

Take 4x common in 1st two terms and 1 common in next two terms.

$=4x(4 x+1)+1(4x+1)$

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

$=(4x+1)(4x+1)$

Substitute the terms we found for numerator and denominator:

$$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}=\frac{(4 x+1)(3 x+7)}{(4 x+1)(4 x+1)}$

Cancel the common factors.

$$=\frac{3 x+7}{4 x+1}$

The simplified expression is $\frac{3 x+7}{4 x+1}$ .

3 0

4 years ago

At a convention for lawyers it was known that of the 100 present, at least one was honest, yet if you met any two of the lawyers

Temka [501]

From the given condition, there is only one honest lawyer present.

5 0

4 years ago

F(x) = x ^ 2 - 8x + 7

bekas [8.4K]

Answer:
They have the same x-value
f(x) has the greater minimum
Step-by-step explanation:
To find the vertex of a second degree equation, in this case the minimum value, we can use the following equation:
x = -b / 2a
Remember that a second degree equation has the following form:
ax^2 + bx + c
so a = 1, b = -8 and c = 7. Now you have to substitute in the previous equation
x = - (-8) / 2(1)
x = 8 / 2
x = 4
This means that the two functions have the same x-value.
The y value of f(x) would be
f(4) = (4)^2 - 8(4) + 7
f(4) = 16 - 32 + 7
f(4) = -9
So the vertex, or minimun value of f(x) would be at the point (4, -9).
The vertex, or minimun value of g(x) is at the point (4, -4).
So f(x) has a minimum value of -9 and g(x) a minimum value of -4.

5 0

3 years ago

PLEASE HELP!!!!! Giving away 50 points

dimaraw [331]

The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being "r". This form of the equation is helpful, since you can easily find the center and the radius.

7 0

3 years ago

Read 2 more answers

Write the equation of the lime perpendicular to 8x-9y=1 that passes through point (3,-4) in slope imtercept form and in standard

NemiM [27]

8x - 9y = 1

Solve for y:

-9y = -8x + 1

y = 8/9 x - 1/9

The slope of the given line is 8/9, so the slope of the perpendicular is -9/8.

y = mx + b

y = -9/8 x + b

The perpendicular passes through (3, -4).

-4 = -9/8 * 3 + b

-4 = -27/8 + b

b = -32/8 + 27/8

b = -5/8

The equation in slope-intercept form is

y = -9/8 x - 5/8

Now we change the equation to standard form.

8y = -9x - 5

The equation in standard form is

9x + 8y = -5

5 0

4 years ago