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2 years ago

The ordered pairs in the table below represent a linear function. What’s the slope of the function?

Mathematics

1 answer:

Afina-wow [57]2 years ago

7 0

Answer:

The slope is 2

Step-by-step explanation:

Using slope formula (y2-y1)/(x2-x1):

(8-2)/(9-6)

(6)/3

Math Genius

2 years ago

Thank you! :3

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Which of the following represents the zeros of f(x) = 2x3 − 5x2 − 28x + 15?

likoan [24]

$\mathrm{Use\:the\:rational\:root\:theorem}$

$a_0=15,\:\quad a_n=2$

$\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:3,\:5,\:15,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1,\:2$

$\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:3,\:5,\:15}{1,\:2}$

$-\frac{3}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+3$

$\mathrm{Compute\:}\frac{2x^3-5x^2-28x+15}{x+3}\mathrm{\:to\:get\:the\:rest\:of\:the\:eqution:\quad }2x^2-11x+5$

$=\left(x+3\right)\left(2x^2-11x+5\right)$

$Factor: 2x^2-11x+5$

$2x^2-11x+5=\left(2x^2-x\right)+\left(-10x+5\right)$

$=x\left(2x-1\right)-5\left(2x-1\right)$

$2x^3-5x^2-28x+15=\left(x+3\right)\left(x-5\right)\left(2x-1\right)$

$\left(x+3\right)\left(x-5\right)\left(2x-1\right)=0$

$\mathrm{Using\:the\:Zero\:Factor\:Principle:}$

thus zeros of f(x) is

$x=-3,\:x=5,\:x=\frac{1}{2}$

5 0

2 years ago

Read 2 more answers

Write the equation of the line with a slope of 24 and a y-intercept of -5

zmey [24]

Answer:

$y=24x-5$

Step-by-step explanation:

General slope intercept form equation of straight line is given as

$y=mx+b$

where m is slope and b is y-intercept

here m=24 and b=-5

Therefore

$y=mx+b=24x-5$

8 0

2 years ago

T he equation for a parabola with directrix y = –p and focus (0, p) is:

zhuklara [117]

The equation for a parabola with directrix y = –p and focus (0, p)

The distance between vertex and directrix is P

Also the distance between vertex and focus is also P

Focus (0,p) so focus lies on y axis

Directrix line is paralled to focus point

So Directex crosses the x axis .

Hence line of symmetry lies is the y-axis.

The graph is attached below.

3 0

2 years ago

GIVEN PARALLELOGRAM ABCD, FIND THE LENGTHS AND ANGLES REQUIRED

Scrat [10]

Co-interior properties. 180 degrees = two co-interior angles.

180 = (2y+50) + (3y+40)
180 = 5y + 90
90 = 5y
/5 /5
18 = y

Angle 1: 2y + 50
2(18) + 50
36 + 50
86

Angle 2: 3y + 40
3(18) + 40
54 + 40
94

86 + 94 = 180 so it is true.

Now the sides.
On a parallelogram, 5x+2 and 8x-7 must be equal

5x + 2 = 8x - 7
2 = 3x - 7
9 = 3x
/3 /3
3 = x

Side 1: 5x + 2
5(3) + 2
15 + 2
17

Side 2: 8x - 7
8(3) - 7
24 - 7
17

Both sides are equal; 17.

Angle 1: 86
Angle 2: 94
Sides: 17

6 0

2 years ago

Simplify -2x+7=15, i need help understanding why it is -4

yulyashka [42]

Answer:

-4

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

−2x+7−7=15−7

−2x=8

Step 2: Divide both sides by -2.

−2x

−2

x=−4

3 0

2 years ago