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3 years ago

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When written in standard form, the quadratic equation, x2 - 2x - 35 = 0, is equivalent to y = (x - 1)2 - 36. What is the vertex

of the graph of the quadratic equation, x2 - 2x - 35 = 0?

1 answer:

horrorfan [7]3 years ago

6 0

y = a(x - b)^2 + c has vertex (b , c)

so here the vertex is (1, -36)

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impeded by the current the outing club took 4 hours and 24 minutes to paddle 11 km up the exeter river to their campsite last we

lilavasa [31]

Answer: if there had been no current, the rate would have been 4 km/hr.

The rate of the current is 1.5km/hr

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

Impeded by the current the outing club took 4 hours and 24 minutes(4 + 24/60 = 4.4 hours) to paddle 11 km up the exeter river to their campsite last weekend. This means that the total speed with which they travelled is (x - y) km/h

Distance = speed × time. Therefore

11 = 4.4(x - y)

Dividing through by 4.4, it becomes

2.5 = x - y - - - - - - - - - - -1

The next day the same current was with them and it took only 2 hours to make the return trip to campus. This means that the total speed with which they travelled is (x + y) km/h. The distance travelled is

11 = 2(x + y)

Dividing through by 2, it becomes

5.5 = x + y - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

8 = 2x

x = 8/2 = 4

Substituting x = 4 into equation 1, it becomes

2.5 = 4 - y

y = 4 - 2.5

y = 1.5

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4 years ago

Help!! For this question I got 254.34 as my final answer but when I checked my answer it told me I was wrong?

Ugo [173]

Answer:

a = 254.5 mm² ( if using accurate value of π)

a = 254.4 mm² (if using 3.14 as approximate value of π)

Step-by-step explanation:

a = πr²

a = π * 9²

a = π * 81

(note using π = 3.1415926536)

a = 254.4690049408

Rounded

a = 254.5 mm²

(a = 254.4 If using π = 3.14)

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3 years ago

A grocery store manager must decide how to best present a limited supply of milk and cookies to its customers. Milk can be sold

miss Akunina [59]

Answer:

Option A.

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Let M be the milk per gallon.

C be the cookies per dozen.

B be the bundle (one gallon of milk and a dozen cookies ).

Milk can be sold by itself for a profit of $1.50 per gallon. Cookies can likewise be sold at a profit of $2.50 per dozen and bundle is sold for a profit of $3.00 per bundle.

$Profit= 1.5M + 2.5C + 3B$

We need to maximize the profits. So, our objective function is

Therefore, the correct option is A.

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4 years ago

When multiplying a two digit number times a two digit number, why do you add a 0 to the second addend?

Dmitry_Shevchenko [17]

The answer you get will pretty much already have a zero in it ...so thats why

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3 years ago

Read 2 more answers

Somebody can help me please I don’t understand:(

Alex17521 [72]

Answer:

1) x=67, y=83, z=80 2) x=5

Step-by-step explanation:

1) 28+85=113 a triangle is 180 degrees so 180-113=67 so x=67

x and y are supplementary meaning both sides equal 150 so 150-67=83

83+17=100 now going back how much did i say a triangle should equal? 180 so z is 80

2)a triangle = 180 since the triangle is a right angle it includes the angle 90 so make the equation to solve for x

180=90+8x+2+9x+3

take 90 to other side so you are subtracting 180-90

90=8x+2+9x+3

combine like terms

90=17x+5

subtrcat 5 from 90

85=17x

now divide 85 by 17 and you get x=5

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3 years ago