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2 years ago

50 pts please help asap!! Which expression In factored form is equivalent to this expression?

Mathematics

1 answer:

Korolek [52]2 years ago

8 0

Step-by-step explanation:

4(x²-2x)-2(x²-3)
4x²-8x-2x²+6
2x²-8x+6
2x²-6x-2x+6
2x(x-3)-2(x-3)
(2x-2)(x-3)
2(x-1)(x-3)

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1. Which of the following is not a linear equation in one variable?

Lorico [155]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Which of the following is not a linear equation in one variable?

a) 33

b) 33(x+y)

c) 33x

d) 33y

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

Option <em><u>b) 33 (x + y)</u></em> is not a linear equation in 1 variable.
Here, we can see that there are 2 variables used ⇨ x & y. Hence, even though it's a linear equation, it's not in 1 variable.
All the other options are in 1 variable or don't have a variable at all.

5 0

3 years ago

Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

prisoha [69]

Answer:

$B(x_2,y_2)= (20,12)$

Step-by-step explanation:

Given

$A = (0,0)$

$Ratio; m : n = 1 : 3$

$Point\ at\ 1 : 3 = (5,3)$

Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

In this case:

$(x,y) = (5,3)$

$(x_1,y_1) = (0,0)$

$m : n = 1 : 3$

Solving for $(x_2,y_2)$

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

$\frac{x_2}{4} = 5$ -- (1)

$\frac{y_2}{4} = 3$ -- (2)

Solving (1)

$x_2 = 5 * 4$

$x_2 = 20$

Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

5 0

3 years ago

Write an equation in slope-intercept form (0,2) (7,-1)

maksim [4K]

Answer:

y=-3/7x+2

Step-by-step explanation:

first formula (Slope): y2-y1/x2-x1

-1-2/7-0= -3/7

second formula (point slope): y-y1=m(x-x1)

y-2=-3/7(x-0)

(distribute the -3/7)

y-2=-3/7x-0

(add 2 to both sides)

y=-3/7x+2

6 0

3 years ago

Help me and please explain

k0ka [10]

Answer:

4 attendees

Step-by-step explanation:

we can create and equation (x is the amount of attendees) $8 per attendee at a total of $32 is 8x=32 which you divide on both sides getting x=4 or 4 attendees

4 0

3 years ago

What are the answers of these and if work is needed please explain? Thank you

wolverine [178]

1) (-4,0)lowest and highest x values
2) (2,3)lowest and highest y values
3) (-2,0] point where the graph is going down
5) x-intercept is (-3,-1)

8 0

3 years ago