6(4z+2)=3(8z+4) ghjycycyc

10. Simplify the following expression: 35 + (–13) + (+8) – (–6).

nadezda [96]

$35 + (-13) + (+8) - (-6)\\35-13+8+6\\22+14\\36$

B. 36

8 0

3 years ago

Read 2 more answers

Write the equation, in slope-intercept form, of the line passing through the origin and the point $(-4,3)$.

netineya [11]

If the equation is passing trough the origin, it will be passing trough the point (0,0). We now for our problem that the equations is also passing trough the point (-4,3). So, our line is passing trough the points (0,0) and (-4,3). To write the equation in slope-intercept form, first, we need to find its slope $m$ . To do that we are going to use the slope formula: $m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .
From our two points we can infer that $x_{1}=0$ , $y_{1}=0$ , $x_{2}=-4$ , $y_{2}=3$ . Lets replace those values in the slope formula:
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{3-0}{-4-0}$
$m= \frac{3}{-4}$
$m=- \frac{3}{4}$

Now that we have our slope, we can use the slope-intercept formula:
$y-y_{1}=m(x-x_{1})$
$y-0=- \frac{3}{4} (x-0)$
$y=- \frac{3}{4} x$

We can conclude that the equation of the line passing trough the points (0,0) and (-4,3) is $y=- \frac{3}{4} x$ .

8 0

3 years ago

Hola me pueden ayudar con matematica

Rudik [331]

Tienes la tarea en Ingles? Yo solo puedo hacer mathematics en ingles. Gracias.

7 0

3 years ago

What is the constant in the following expression? -8x^2+17y+19

attashe74 [19]

Answer:

(x + 2) • (x - 19)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 1 • -38 = -38

Step-2 : Find two factors of -38 whose sum equals the coefficient of the middle term, which is -17 .

-38 + 1 = -37

-19 + 2 = -17 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -19 and 2

x2 - 19x + 2x - 38

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-19)

Add up the last 2 terms, pulling out common factors :

2 • (x-19)

Step-5 : Add up the four terms of step 4 :

(x+2) • (x-19)

Which is the desired factorization

7 0

3 years ago

HELP!!<br> let g(x)=5x-2 and h(x)= x^2 +1. Find (h o g) (-1)

frosja888 [35]

Answer:

(h o g)(-1)) = 50

Step-by-step explanation:

Here, the functions are defined as

g(x) = 5x -2

$h(x) = x^{2} + 1$

Now, (h 0 g) (x) is defined as the function h of g(x).

⇒ (h 0 g) (x) = h(g(x))

now, by definition of both functions:

h(g(x)) = h(5x-2) = $(5x-2)^{2} + 1$

⇒ $h(g(x)) = (25x^{2} + 4 - 20x)+ 1 = 25x^{2} + 5 - 20x$

Putting x = -1 in the above expression,

$h(g(-1)) = 25(-1)^{2} + 5 - 20(-1)\\= 25 + 5 + 20= 50$

Hence, h(g(-1)) = 50 or

(h o g)(-1)) = 50

6 0

4 years ago