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skelet666 [1.2K]
3 years ago
14

What is the vertex of the quadratic function fix=(x-8)(x-2)

Mathematics
1 answer:
VikaD [51]3 years ago
8 0

Answer:

Vertex: (5, -9)

Step-by-step explanation:

fix = (x-8)(x-2)

fix = x^2 - 2x - 8x + 16

fix = x^2 - 10x + 16

a = 1, b = -10, and c = 16

To find vertex:

x = -b/2a

x = -(-10)/2(1)

x = 10/2

x = 5

y = 5^2 - 10(5) + 16

y = 25 -50 + 16

y = -9

Vertex: (5, -9)

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What is the perimeter of triangle PQR? Show your work.
xxMikexx [17]

Answer:

The perimeter of triangle PQR is 17 ft

Step-by-step explanation:

Consider the triangles PQR and STU

1. PQ ≅ ST = 4 ft (Given)

2. ∠PQR ≅ ∠STU  (Given)

3. QR ≅ TU = 6 ft (Given)

Therefore, the two triangles are congruent by SAS postulate.

Now, from CPCTE, PR = SU. Therefore,

3y-2=y+4\\3y-y=4+2\\2y=6\\y=\frac{6}{2}=3

Now, side PR is given by plugging in 3 for 'y'.

PR = 3(3) - 2 = 9 - 2 = 7 ft

Now, perimeter of a triangle PQR is the sum of all of its sides.

Therefore, Perimeter = PQ + QR + PR

                                   = (4 + 6 + 7) ft

                                   = 17 ft

Hence, the perimeter of triangle PQR is 17 ft.

7 0
3 years ago
How can the distributive property help when you are multiplyng by a two digit number
Darina [25.2K]
It can help you by showing you what you do more simplified. For example 3(x+5) is 3 time x + 3 times 5
3 0
3 years ago
Suppose vanilla beans cost $600 per kilogram. Julie bought 9 grams of vanilla beans. Jacques bought 70 grams of vanilla beans.
GenaCL600 [577]
The Correct option is 36.60
Step-by-step explanation:
The key to solving this question lies
around measurement
conversion,specifically converting
grams into its equivalence in
kilograms.
1000 grams equal one kilogram
9 grams=9/1000 kg
9 grams=0.009 kg
70 grams=70/1000 kg 1000 grams equal one kilogram
9 grams=9/1000 kg
9 grams=0.009 kg
70 grams=70/1000 kg
70 grams=0.07 kg
Julie pays=$600*0.009=$5.4
Jacques pays=$600*0.07=$42
Jacques pays $36.60 more ($42-
$5.4) than Julie paid
Option is wrong because that was Jacques pays=$600*0.07=$42
Jacques pays $36.60 more ($42-
$5.4) than Julie paid
Option is wrong because that was
what Julie paid
Option D is wrong because that was
what Jacques paid
Option B is obviously wrong
4 0
2 years ago
A real estate agent wants to know how many owners of homes worth over​ $1,000,000 might be considering putting their home on the
JulsSmile [24]

Answer:

NO

Step-by-step explanation:

The changeability of a sampling distribution is measured by its variance or its standard deviation. The changeability of a sampling distribution depends on three factors:

  1. N: The number of observations in the population.
  2. n: The number of observations in the sample.
  3. The way that the random sample is chosen.

We know the following about the sampling distribution of the mean. The mean of the sampling distribution (μ_x) is equal to the mean of the population (μ). And the standard error of the sampling distribution (σ_x) is determined by the standard deviation of the population (σ), the population size (N), and the sample size (n). That is

μ_x=p

σ_x== [ σ / sqrt(n) ] * sqrt[ (N - n ) / (N - 1) ]

In the standard error formula, the factor sqrt[ (N - n ) / (N - 1) ] is called the finite population correction. When the population size is very large relative to the sample size, the finite population correction is approximately equal to one; and the standard error formula can be approximated by:

σ_x = σ / sqrt(n).

6 0
3 years ago
N^2- n - 12 = (n + 3)(___)
Nat2105 [25]

Answer:

n^2 - n - 12 = (n+3)(n-4)

Step-by-step explanation:

3 times - 4 = -12 ( two numbers when multiplied = -12, when added=-1)

3 + -4 = -1

4 0
2 years ago
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