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3 years ago

Factor each expression and explain how you solved it.

1 answer:

7 0

42. g^2+2g-7g-14= g(g+2)-7(g+2) = (g-2)(g+7)
44. 6k^2-6kL-4kL+4L^2= 6k(k-L)-4L(k-L)= (6k-4L)(k-L)
46. r^2-4r+10r-40 = r(r-4)+10(r-4)= (r+10)(r-4)
48. t^2-3t-10t-30 = t(t-3)-10(t-3)= (t-10)(t-3)
50. 3x^2-3x+6x-6 = 3x(x-1)+6(x-1) = (3x+6)(x-1)

REALLY hoping this helps bc this took me some time

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Half of sarans wire is equal to 2/5 of daniel's. chris has 3 times as much as sarah. in all, their wire is 6 feet. how long is s

Pepsi [2]

You need to make a series of equations from what you are given first. I am going to use the first letter of each of the names to represent the length of that persons wire.
1/2s=2/5d
3c=s
s+d+c=6 ft

Okay. Now you can combine the first two equations knowing what s equals:
1/2(3c)=2/5d
d=15c/4

Now you have d=15c/4 and s=3c, so you can replace d and s in the third equation.

3c+15c/4+c=6

Then solve for c and plug it into the equation 3c=s to find the length of sarah's wire.

7 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Kitty [74]

Answer: (-2, 5) and (2, -3)

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

Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:

y - intercept = (0, 1) 2nd point = ( -1, 1).

Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):

$y = x^2-2x-3\quad \rightarrow \quad a=1,\ b=-2,\ c=-3\\\\\text{axis of symmetry:}\ x = \dfrac{-b}{2a}\ \longrightarrow \ x=\dfrac{-(-2)}{2(1)}=\dfrac{2}{2}=1\\\\\text{y-value of vertex:}\ f(1) = (1)^2-2(1)-3\quad \longrightarrow \quad y = 1 - 2 - 3=-4\\\\\text{y-intercept:}\ f(0)= (0)^2-2(0)-3\ \longrightarrow \ y=0 - 0 - 3 = -3 \\$

vertex = (1, -4) 2nd point (y-intercept) = (0, -3)

<em>see attached</em> - the graphs intersect at two points: (-2, 5) and (2, -3)

8 0

3 years ago

Can someone please. Heck my answer if it’s wrong please answer it correctly and please show work first pic is the question and 2

PIT_PIT [208]

Answer:

Correct

Step-by-step explanation:

4y = 3x Divide each side by 4

4y ÷ 4 = 1y

3x ÷ 4 = 0.75x

12y = 9x Divide each side by 12

12y ÷ 12 = 1y

9x ÷ 12 = 0.75x

We can see in both equations that 1y = 0.75x

(1y = just y) So the constant of proportionality can be written as y = 0.75x

All of your explanations and descriptions are accurate.

8 0

3 years ago

If x > 0 and y < 0, where is the point (x, y) located?

dlinn [17]

Answer:

Quadrant 4

Step-by-step explanation:

x > 0 means towards right of the origin

y < 0 means below the origin

So Quadrant 4

6 0

3 years ago

Find last year’s salary if, after a 3% pay raise, this year’s salary is $32,960.

belka [17]

Answer:

$32000

Step-by-step explanation:

Let last years salary was $x

Therefore,

x + 3% of x = $32960

x + 0.03x = $32960

1.03x=$32960

x = 32960/1.03

x = $32,000

So, last year's salary was $32000.

3 0

3 years ago