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Answer:

[tex]Vertex = (-2,-25)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = (x - 3)(x + 7)[/tex]

Required

The vertex

[tex]f(x) = (x - 3)(x + 7)[/tex]

Open bracket

[tex]f(x) = x^2 -3x+7x-21[/tex]

[tex]f(x) = x^2 +4x-21[/tex]

Express -21 as 4 - 25

[tex]f(x) = x^2 +4x+4-25[/tex]

Group as:

[tex]f(x) = (x^2 +4x+4)-25[/tex]

Factorize the expression in bracket

[tex]f(x) = (x+2)^2-25[/tex]

The vertex form is:

[tex]f(x) = a(x - h)^2 + k[/tex]

Where the vertex is:

[tex]Vertex = (h,k)[/tex]

[tex]Vertex = (-2,-25)[/tex]

Answer:

A. 5:12   B. 12:51

Step-by-step explanation:

. Use the smaller hand as the hour hand and the bigger hand to track each minute.

Answer: The slope is -5/3 or -1.4

Algebra

[tex]s = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]s = \frac{5}{3} [/tex]

Answer:

The range in the average rate of change in temperature of the substance is from a low temperature of [tex]-22^{\circ}[/tex] to a high of [tex]16^{\circ}[/tex].

Step-by-step explanation:

In the sinusoidal function [tex]y=a\sin(b(x-c))+d[/tex], [tex]|a|[/tex] represents the amplitude and [tex]y=d[/tex] represents the equation of the midline.

By definition sinusoidal functions ebb and flow with respect to this midline. Therefore, the minimums must occur at [tex]y=d-|a|[/tex] and the maximums must occur at [tex]y=d+|a|[/tex].

Thus, the minimum, or low, occurs at [tex]y=-3-|-19|=-3-19=\boxed{-22}[/tex] and the maximum, or high, occurs at [tex]y=-3+|-19|=-3+19=\boxed{16}[/tex].

Answer:

Assume you need to find distance CD, between points C(-2, 2), D(4, -4)

Use distance formula:

Answer:

C(x1,y1)=(-2, 2), D(4, -4)

D(x2,y2)=(4, -4)

we have

the length of line segment CD

=[tex]\sqrt{(x2-x1)²+(y2-y1)²}\\ \sqrt{(4+2)²+(-4-2)²}=8.48 units[/tex]

In the circumference formula given d is the diameter which is 2 times r ( r is the radius)

R is given as 6 feet, diameter = 2 x 6 = 12 feet.

Circumference = 12 feet x 3.14 = 37.68 feet

Answer:

240.625

Step-by-step explanation:

Circumference = 55 m. = 2pi*r

Radius of enclosure, r = 55/(2pi)

Area of enclosure

= pi (r^2)

= pi (55/2pi)^2

= 55^2/(4pi)

=3025/4pi

substitute pi = 22/7

= 1925/8

= 240.625

Answer:

(-10, -8)

Step-by-step explanation:

4u

Each component of vector u is multiplied by 4. So

u = (3, 1)

4u = (4*3, 4*1) = (12,4).

v – 4u

Subtraction of the components of vector v by the components of the vector 4u. So

v - 4u = (2, -4) - (12, 4) = (2-12, -4 - 4) = (-10, -8)

The value is (-10, -8)

Answer:

It's B, Points a and f. -5 and 5

Answer:

Is it any of the rational numbers?  There are an infinite number of rational numbers.  Rational numbers are any numbers that can be written as a fraction.  All the integers between those two points (-2, -1, 0, etc.) are all rational.  Any of the numbers between the points would be too. 1/2, 1/3, 2 1/3, etc.

Step-by-step explanation:

Answer:

Simulateneous equation

Step-by-step explanation:

Have to slove the equation given then plot the graph

Answer:

Graph a line segment with endpoints (1,-8) and (-4,3).

Step-by-step explanation:

Just identity the endpoints of the line segment given, then swap the coordinates for each pair to graph it's inverse.

Original point -> Corresponding inverse point

(a,b) ->(b,a)

(-8,1) ->(1,-8)

(3,-4) ->(-4,3)

So graph the other inverse which is also a line segment using endpoints (1,-8) and (-4,3).

(The inverse graph is just a reflection of the original relation over y=x.)

Step-by-step explanation:

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Answer:

[tex](y+4)^2 = -8(x+2)[/tex], option D.

Step-by-step explanation:

Equation of a parabola:

The equation of a parabola has the following format:

[tex](y - k)^2 = 4p(x-h)[/tex]

In which the center is (h,k) and the focus is (h+p,k).

Vertex (-2,-4)

This means that [tex]h = -2, k = -4[/tex]

So

[tex](y - k)^2 = 4p(x-h)[/tex]

[tex](y - (-4))^2 = 4p(x-(-2))[/tex]

[tex](y+4)^2 = 4p(x+2)[/tex]

Vertex (-2,-4)

Focus (-4,-4)

-4 - (-2) = -4 + 2 = -2

So p = -2 and

[tex](y+4)^2 = 4(-2)(x+2)[/tex]

[tex](y+4)^2 = -8(x+2)[/tex], option D.

Answer:

(y+4)2=−8(x+2) 

The answer would be D.

Julius Caesar raises many questions about the force of fate in life versus the capacity for free will. Cassius refuses to accept Caesar’s rising power and deems a belief in fate to be nothing more than a form of passivity or cowardice. He says to Brutus: “Men at sometime were masters of their fates. / The fault, dear Brutus, is not in our stars, / But in ourselves, that we are underlings” (I.ii.140–142). Cassius urges a return to a more noble, self-possessed attitude toward life, blaming his and Brutus’s submissive stance not on a predestined plan but on their failure to assert themselves.

Ultimately, the play seems to support a philosophy in which fate and freedom maintain a delicate coexistence. Thus Caesar declares: “It seems to me most strange that men should fear, / Seeing that death, a necessary end, / Will come when it will come” (II.ii.35–37). In other words, Caesar recognizes that certain events lie beyond human control; to crouch in fear of them is to enter a paralysis equal to, if not worse than, death. It is to surrender any capacity for freedom and agency that one might actually possess.

The Oxford School Shakespeare has become the preferred introduction to the literary legacy of the greatest playwright in the English language. This exclusive collection of the Bard's best works has been designed specifically for readers new to Shakespeare's rich literary legacy. Each play is presented complete and unabridged, in large print. Every book is well illustrated, and starts with a commentary and character summary. Scene synopses and character summaries clarify confusing plots, while incisive essays explore the historical context and Shakespeare's sources. Each book ends with a complete list of Shakespeare's plays and a brief chronology of the Bard's life. The detailed explanatory notes are written clearly and positioned right next to the text--no more squinting at microscopic footnotes or flipping pages back and forth in search of endnotes!

The new edition of the series features new covers and new illustrations, including both new drawings and photos from recent productions of Shakespeare's plays around the globe. In addition, the notes and the introductory material have been completely revised in line with new research and in order to make them clearer and more accessible. Finally, the entire text has been redesigned and reset to enhance readability. The new edition achieves the feat of unprecedented clarity of presentation without any cuts to the original text or the detailed explanations.

Answer:

6.4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

According to all known laws of aviation, there is no way that a bee should be able to fly. Its wings are too small to get its fat little body off the ground. The bee, of course, flies anyway. Because bees don’t care what humans think is impossible.” SEQ. 75 - “INTRO TO BARRY” INT. BENSON HOUSE - DAY ANGLE ON: Sneakers on the ground. Camera PANS UP to reveal BARRY BENSON’S BEDROOM ANGLE ON: Barry’s hand flipping through different sweaters in his closet. BARRY Yellow black, yellow black, yellow black, yellow black, yellow black, yellow black...oohh, black and yellow... ANGLE ON: Barry wearing the sweater he picked, looking in the mirror. BARRY (CONT’D) Yeah, let’s shake it up a little. He picks the black and yellow one. He then goes to the sink, takes the top off a CONTAINER OF HONEY, and puts some honey into his hair. He squirts some in his mouth and gargles. Then he takes the lid off the bottle, and rolls some on like deodorant. CUT TO: INT. BENSON HOUSE KITCHEN - CONTINUOUS Barry’s mother, JANET BENSON, yells up at Barry. JANET BENSON Barry, breakfast is ready! CUT TO: "Bee Movie" - JS REVISIONS 8/13/07 1. INT. BARRY’S ROOM - CONTINUOUS BARRY Coming! SFX: Phone RINGING. Barry’s antennae vibrate as they RING like a phone. Barry’s hands are wet. He looks around for a towel. BARRY (CONT’D) Hang on a second! He wipes his hands on his sweater, and pulls his antennae down to his ear and mouth. BARRY (CONT'D) Hello? His best friend, ADAM FLAYMAN, is on the other end. ADAM Barry? BARRY Adam? ADAM Can you believe this is happening? BARRY Can’t believe it. I’ll pick you up. Barry sticks his stinger in a sharpener. SFX: BUZZING AS HIS STINGER IS SHARPENED. He tests the sharpness with his finger. SFX: Bing. BARRY (CONT’D) Looking sharp. ANGLE ON: Barry hovering down the hall, sliding down the staircase bannister. Barry’s mother, JANET BENSON, is in the kitchen. JANET BENSON Barry, why don’t you use the stairs? Your father paid good money for those. "Bee Movie" - JS REVISIONS 8/13/07 2. BARRY Sorry, I’m excited. Barry’s father, MARTIN BENSON, ENTERS. He’s reading a NEWSPAPER with the HEADLINE, “Queen gives birth to thousandtuplets: Resting Comfortably.” MARTIN BENSON Here’s the graduate. We’re very proud of you, Son. And a perfect report card, all B’s. JANET BENSON (mushing Barry’s hair) Very proud. BARRY Ma! I’ve got a thing going here. Barry re-adjusts his hair, starts to leave. JANET BENSON You’ve got some lint on your fuzz. She picks it off. BARRY Ow, that’s me! MARTIN BENSON Wave to us. We’ll be in

Answer:

$30

Step-by-step explanation:

T = 750

B = 60(12)

T - B = X

750 - 720 = 30

Answer:

Tom saves 30 more dollars

Step-by-step explanation:

There’s 12 months in a year so

60 x 12 = 720

Tom has 750 so take away 720 that bill makes a year = 30

Answer:

P is complementary to x

Step-by-step explanation:

Complementary means adding to 90 degrees

P+x = 90 degrees

So P is complementary to x

Answer:

( A) ∠ P

∠P is complementary angle to ∠ X .

Step-by-step explanation:

P + X = 90°

P is complementary to X.

Answer:

9 people can go to the amusement park.

Answer:

SSS

Step-by-step explanation:

∆ ABC after reflected over y-axis and then translated by 2 units down ===> ∆A"B"C"

so the size of sides doesnt change

Answer:

Step-by-step explanation:

Given ,

Sum of 3 times m = 3m

And 4 times m = 4m

Hence,

Sum is = 3m + 4m = 7m (Ans)

Answer:

Between 100 and 125

Step-by-step explanation:

Given

[tex]Min =60[/tex]

[tex]Q_1 = 100[/tex]

[tex]Median = 110[/tex]

[tex]Q_3 = 125[/tex]

[tex]Max =150[/tex]

Required:

Between which values will the box of the box plot will stretch

All box plots stretches between the lower quartile and the upper quartile.

From the question, we have:

[tex]Q_1 = 100[/tex] ---- lower quartile

[tex]Q_3 = 125[/tex] ---- upper quartile

Hence, the box will stretch between 100 and 125

Answer:

The degree of polynomial is 2

Step-by-step explanation:

Given

[tex]p(y) = (y -4)^3 - y^3[/tex]

Required

The degree

When expanded,  [tex]p(y) = (y -4)^3 - y^3[/tex] is:

[tex]p(y) =y^3-12y^2+48y-64-y^3[/tex]

Collect like terms

[tex]p(y) =-12y^2+48y-64-y^3+y^3[/tex]

[tex]p(y) =-12y^2+48y-64[/tex]

The degree of freedom is 2

Answer:

3 x 4 x 380

Step-by-step explanation:

The correct strategy that he could use would be

3 x 4 x 380

This is basically splitting up the 12 into two numbers whose product equals 12. This shrinks the numbers and makes it easier to multiply the 380. Since it is easier to multiply 380 by 4 as opposed to 12. This strategy will still give you the same result as 12x380 and both will give you a product of 4,560

Answer:

translation

Step-by-step explanation:

a translation. a translation is where the figure is moved, but not rotated or reflected.

Answer:

6x+2

Step-by-step explanation: