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4 years ago

Which statement describes the graph if f (x)=4x^2+20x+25?

Mathematics

1 answer:

cluponka [151]4 years ago

3 0

Answer:

There are no statements supplied, but see below.

Step-by-step explanation:

This is a perfect square trinomial (quadratic) because it factors to

(2x + 5)^2.

The zeroes are -5/2 multiplicity 2.

It is a parabola which opens upwards and whose vertex touches the x axis at the point (-5/2, 0).

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Expressions is equivalent to 2+13y−(2y+1)

scZoUnD [109]

Answer: 3y+8

Step-by-step explanation:

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3 years ago

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Which function represents this sequence? The explicit formula for a geometric = 21(r)n-1 function is an 1 n 2 3 4 5 3 an 6 12 24

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Peachy Orchard Developers are preparing land to create a large subdivision of single-family homes. They have already built 15 houses on the site. Peachy Orchard plans to build six new homes every month. Write a sequence for the number of houses built, then write an equation for the sequence. Fully describe a graph of this sequence. The sequence is 21, 27, 33, 39, .... Note that sequences usually begin with the first term, where the number of months n =1.

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3 years ago

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Zepler [3.9K]

Espero que esto ayude!!!

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3 years ago

When investigating times required for drive-through service, the following results (in seconds) were obtained: Restaurant A 120

iris [78.8K]

Answer:

Step-by-step explanation:

Restaurant A data in ascending order : 67 68 72 89 96 97 120 124

Restaurant B data in ascending order : 49 56 76 78 95 98 115 126

<em>Restaurant A</em>

Mean = $\frac{67+68+72+89+96+97+120+124}{8}$ = 91.625
Median = Since there are even number of observations so,

= $\frac{4^{th}obs + 5^{th}obs }{2}$ = $\frac{89+96}{2}$ = 92.5

Mid range = $\frac{Highest Value-Lowest Value}{2}$ = $\frac{124-67}{2}$ = 28.5
Range = Highest value - Lowest value = 124 - 67 = 57
Variance = $\frac{\sum (X_i - \mu )^{2}}{N-1}$ ,where Xi are sample values and $\mu$ is mean

Solving above equation we get, variance = 493.982

Standard Deviation = $\sqrt{variance}$ = 22.226

<em>Restaurant B</em>

Mean = $\frac{49+56+76+78+95+98+115+126}{8}$ = 74.375

Median = Since there are even number of observations so,

= $\frac{4^{th}obs + 5^{th}obs }{2}$ = $\frac{78+95}{2}$ = 86.5

Mid Range = $\frac{Highest Value-Lowest Value}{2}$ = $\frac{126-49}{2}$ = 38.5

Range = Highest value - Lowest value = 126 - 49 = 77

Variance = $\frac{\sum (X_i - \mu )^{2}}{N-1}$ ,where Xi are sample values and $\mu$ is mean

= 727.982

Standard Deviation = $\sqrt{variance}$ = 26.981

Now comparing the results of two restaurants we conclude that:

Restaurant A on an average takes more time for drive-through service than Restaurant B.
Median time for Restaurant A is also more than Restaurant B.
Restaurant B has more variation in time taken for drive through service as the variance & standard deviation of Restaurant B is more than A.
There is more spread in the time data for Restaurant B as it has more range than A.

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4 years ago

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Feliz [49]

1) I’m pretty sure for this one the answer is X = 1, -1 but that’s not an option. So I’d double check with your teacher so make sure there is no typo.
2) Q
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3 years ago

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