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frutty [35]
3 years ago
9

3. FACTOR f(x) = x3 + 2x2 – 51x + 108 completely given x + 9 is a factor.

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
6 0

Answer:(x+9)(x-4)(x-3)

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A right rectangular prism has edges of 8 feet, 4 feet, and 1/2 foot. How many cubes with side lengths of 1/2 foot would be neede
Ksenya-84 [330]

Answer:

Step-by-step explanation:

From the question we are told that

Edges of 8 feet, 4 feet, and 1/2 foot

Generally the volume V_p of the right rectangular prism is mathematically represented as

V_p=8*4*0.5

V_p=16

Generally volume of the cube V_c is mathematically given as

V_c =(\frac{1}{2})^3

V_c =\frac{1}{6}

Therefore total number of cubes is given as

V=\frac{V_p}{V_c}

V=\frac{16}{\frac{1}{6}}

V=96

4 0
3 years ago
The table represents a quadratic function. Write an equation of the function in standard form.
kakasveta [241]

The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.

<h3>Standard form equation of a quadratic function.</h3>

It follows from the task content that the standard form equation of the quadratic function is to.be determined.

Since the standard form equation can be derived from the vertex form equation as follows;

f(x) = a (x - h)² + k

f(x) = a (x - 6)² - 7

Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;

-11 = a (8 - 6)² - 7

-11 = 4a - 7

4a = -4

a = -1.

Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;

f(x) = -1(x² - 12x + 36) - 7

f(x) = -x² + 12x - 43

Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.

Read more on quadratic functions;

brainly.com/question/25841119

#SPJ1

5 0
1 year ago
What is the slope of the line that passes through the points (-4, 6) and (2, 4)?
Tpy6a [65]
Your answer will be a
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3 years ago
Read 2 more answers
Describe how to estimate the product of 396 and 71. Please :)
balu736 [363]
You can round 396 to 400 and 71 to 70. then you just multiply them and get 28,000. :))
4 0
3 years ago
1. Two angle measures of a triangle are given. What is the third angle measure? A. 57 68 B. 90 40 C. 29", 71
seropon [69]
A: 55
b: 50
c: 100
the sum of all the angles of a triangle must equal 180
3 0
4 years ago
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