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dangina [55]
3 years ago
5

Write y=3x^2-6x+4 in vertex form. A,B,C,D ?

Mathematics
2 answers:
ehidna [41]3 years ago
8 0
Y=3x²-6x+4
to put in vertex form, make a square by adding (half of b)²
but first, we have to make a=1 by take out the 3:
y=3(x²-2x)+4
b=-2, half of b=-1, (-1)²=1, so add 1, then subtract 1 inside the parenthesis:
y=3(x²-2x+1-1)+4
make the square: y=3[(x-1)²-1]+4
simplify: y=3(x-1)²-3+4=3(x-1)²+1

so the answer is A.
vovikov84 [41]3 years ago
3 0
The real answer is a ya!
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A man who moves to a new city sees that there are two routes he could take to work. A neighbor who has lived there a long time t
Mandarinka [93]

Answer:

(a) Confidence Interval for Route A is (38.61, 41.39)min

Confidence Interval for Route B is (42.07, 43.93)min

(b) No

Step-by-step explanation:

(a) Route A

Mean=40min, sd=3min, df=33.1, t=2.0675, n=20

CI = (mean + or - t×sd/√n)

CI = (40 + 2.0675×3/√20) = 40+1.39 = 41.39min

CI = (40 - 2.0675×3/√20) = 40 - 1.39 = 38.61min

CI for Route A is (38.61,41.39)min

Route B

Mean=43min, sd=2min, t=2.0675, n=20

CI = (43 + 2.0675×2/√20) = 43+ 0.93 = 43.93min

CI = (43 - 2.0675×2/√20) = 43 - 0.93 = 42.07min

CI for Route B is (42.07,43.93)min

(b) He should not believe the old timer's claim. The man saves an average of 3 minutes a day by driving Route A

3 0
3 years ago
Read 2 more answers
yael used to have a square garage with 292ft^2 of floor space.she recently built an addition to it. The garage is still a​ squar
Arturiano [62]

Answer: 19

If the floor space of the garage is increased by 50%, that means its area is increased by that amount

So we have 228 + .50(228) = 228 + 114 = 342 ft²

Since the original garage is square-shaped with an area of 228 ft², then we can find the length of each side. If we let x = the side length, then we have:

x² = 228

x = 15.1 ft

Assuming that the garage will remain square-shaped with sides of uniform dimensions, then we can label each side of the expanded garage as 15 + y. We need to solve for y. Again, we use the area formula. Remember that the expanded garage will have an area of 342 ft², we now have:

(y + 15)² = 342

y² + 30y + 225 = 342

y² + 30y - 117 = 0

This can be solved using the Quadratic Formula. Remember that dimensions must always be positive. Once you determine y, then you will know what the length will be of the expanded garage

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3 years ago
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Temka [501]

Answer:3148521

Step-by-step explanation: cuz ik everything

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2 years ago
Write the polynomial in standard form. Name the polynomial based on
PolarNik [594]
The degree is 1, degree is the highest exponent. And as for the number of terms it’s 3.
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3 years ago
HELP ME RIGHT NOW ON THIS QUESTION
s344n2d4d5 [400]

Answer:

1500 ft^2

Step-by-step explanation:

The area of a triangle is \frac{bh}{2}, where b = base and h = height. In this triangle, we're given the base as 120 and the height as 25. 120 × 25 is 3000, and 3000 divided by 2 is 1500 ft^2.

Therefore, the answer is 1500 ft^2.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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