Given the equation: y=(x-1)(x+3). what are the x-intercepts? *

Starting from scratch, Tori finished 1/6 of a reading assignment Monday afternoon and another 1/3 of it on Tuesday afternoon. Wh

Aneli [31]

The fraction of the reading assignment done by Tuesday night is 1/2.

<h3>What are fractions?</h3>

Fractions are the numbers that make up a portion of the whole. An object or a collection of objects can be a whole.
If a quantity or item is divided into equal pieces, each piece will represent a portion of the entire.
A fraction is represented by the ratio a/b, where a represents the numerator and b is the denominator.

Given:

Let the total reading assignment be x.

Fraction of the reading assignment finished by Tori on Monday afternoon = (1/6)x

Fraction of the reading assignment finished by Tori on Tuesday afternoon = (1/3)x

The fraction of the reading assignment done by Tuesday night is,

Total - Fraction of the reading assignment completed by Tori

= $x -(\frac{x}{6} + \frac{x}{3} )$

= $x -(\frac{x+ 2x}{6} )$

= $x - \frac{3x}{6}$

= $x -\frac{x}{2}$

= $\frac{2x-x}{2}$

= $\frac{x}{2}$

So, 1/2 of the reading assignment(x) was done by Tuesday night.

To learn more about fractions visit:

brainly.com/question/17170979

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5 0

2 years ago

ANSWER FOR 10 POINTS

Eva8 [605]

Pic 1

90 - 33 = 57

m<P = 180 - 57
m<P = 123

answer is <span>B. 123°
</span>
------------
pic2

m<P = 90 - 30
m<P = 60

answer is
<span>C. 60°</span>

8 0

4 years ago

Solve the system of equations: <br> X+y+z=5<br> -3x-4y+4z=15<br> 2x-y-4z=-8

atroni [7]

Answer:

(x, y, z) = (3, -2, 4)

Step-by-step explanation:

The attachment shows a solution using a graphing calculator where the first equation is solved for z, and that expression is substituted into each of the other two equations. The solution to that system is (x, y) = (3, -2). Using these values in the expression for z, we find ...

z = 5 -(3 +(-2)) = 4

The solution is (x, y, z) = (3, -2, 4).

__

Your graphing calculator and/or online tools can give you the reduced row echelon form of the augmented matrix representing the system:

$\left[\begin{array}{ccc|c}1&1&1&5\\-3&-4&4&15\\2&-1&-4&-8\end{array}\right]$

__

If you're solving by hand, you can do the substitution described above to eliminate z from one equation. You can eliminate z from another equation by adding the last two:

-3x -4y +4(5 -x -y) = 15 ⇒ -7x -8y = -5

(-3x -4y +4z) +(2x -y -4z) = (15) +(-8) ⇒ -x -5y = 7

This pair of equations can be solved for x and y in any of the usual ways. Using the second equation to substitute for x, for example, gives you ...

-7(-5y -7) -8y = -5 ⇒ 27y = -54 ⇒ y = -2

x = -5(-2) -7 = 3

z = 5 -(3) -(-2) = 4

_____

<em>Additional comment</em>

If all that is needed is a solution, we prefer a graphical or matrix approach. These take about the same amount of time. Both require a little additional effort to determine exact values when the solutions are not integers.

6 0

3 years ago

a radius of the a segment that connects are point on the circle to any point inside of that circle answer.com

yaroslaw [1]

the answer is the intersection.

7 0

3 years ago

Which equation represents the slope-intercept form of the line below?

Alekssandra [29.7K]

Y = -3x + 5

When creating a line in slope intercept form, the -3 always goes right next to the x after the equals sign. Also, the y intercepts y value (the second part of the parenthesis) just gets added on at the end of the equation.

5 0

3 years ago

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