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Arte-miy333 [17]
3 years ago
5

Which describes the graph of y = (x - 4)2 - 1?

Mathematics
2 answers:
ra1l [238]3 years ago
6 0

Answer:

A

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

y = (x - 4)² - 1 ← is in vertex form

with vertex = (h, k ) = (4, - 1 )

• If a > 0 then the graph opens up

• If a < 0 then the graph opens down

Here a = 1 > 0 then graph opens up

Thus option A

victus00 [196]3 years ago
3 0

C opens up with a vertex at (-4,-1)

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Alexandra drew the logo shown on half-inch graph paper. Enter a rule that describes the translation
kipiarov [429]

Answer:

use math  way.com

Step-by-step explanation:

8 0
2 years ago
A person, who decided to go to weekend trip should not exceed 8 hours driving in a day. Average speed of forward journey is 60 k
Paraphin [41]
Since he must not exceed 8 hours driving in a day:
Let the distance of the picnic be = x km.

Therefore  time for forward journey  =  x / 60
Return journey                                   =  x / 50

The total trip should not exceed 8 hours.
Therefore:              x / 60 + x / 50  <= 8.      LCM = 300

Taking LCM and multiplying on both sides:
                                5x  +  6x  <=  8(300)
                                       11x    <=  2400
                                           x    <=    2400/11
                                           x   <=  218.18
The picnic spot must be less than or equal to 218.18 km.
5 0
3 years ago
Anyone know the answer to this?
jeyben [28]
3x-5+19-x+2x
5x-x=14
4x=14
3 0
3 years ago
Read 2 more answers
You borrow $2000 from the bank at 1% annual interest compounded monthly. The monthly payment is $100. What is the balance after
Blizzard [7]

Answer:

$2.52

Step-by-step explanation:

If you start with the balance being $2000, the monthly payment is $100 with the percentage rate being 1%. You would way 0.84 per month and if you multiply that by three months, you get $2.52.

4 0
3 years ago
Three lines of crops in a garden form a triangular shape. Strawberries are planted in a 10 ft line and green beans are planted i
Marat540 [252]

Answer:

p = 19.18

Step-by-step explanation:

This question is illustrated using the attachment and will be solved using cosine formula

a^2 = b^2 + c^2 - 2bcCosA

<em>Let the strawberry side be s, the Green beans be b and the pumpkins be p.</em>

<em />

The cosine formula in this case is:

g^2 = s^2 + p^2 - 2spCosG

Where

s = 10

g = 18

The equation becomes

18^2 = 10^2 + p^2 - 2 * 10 * p * Cos\ 68

324 = 100 + p^2 - 20 * p * 0.375

324 = 100 + p^2 - 7.5p

Collect Like Terms

p^2 - 7.5p + 100 - 324 = 0

p^2 - 7.5p - 224 = 0

Using quadratic formula:

p = \frac{-b\±\sqrt{b^2-4ac}}{2a}

Where

a = 1

b = -7.5

c = -224

p = \frac{-(-7.5)\±\sqrt{(-7.5)^2-4*1*-224}}{2*1}

p = \frac{7.5\±\sqrt{56.25+896}}{2}

p = \frac{7.5\±\sqrt{952.25}}{2}

p = \frac{7.5\± 30.86}{2}

p = \frac{7.5 + 30.86}{2} or p = \frac{7.5 - 30.86}{2}

p = \frac{38.36}{2} or p = \frac{-23.36}{2}

p = 19.18 or p = -11.68

But length can not be negative.

So:

p = 19.18

6 0
3 years ago
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