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Tju [1.3M]
3 years ago
14

Write the product in descending powers of x. (x2 + 3x + 1)(x2 + x + 2)

Mathematics
1 answer:
Novay_Z [31]3 years ago
8 0
Multiply each term in one bracket by each in the other: 

<span>(I assume x2 means x^2 / x squared) </span>

<span>(x^2 + 3x + 1)(x^2 + x + 2) </span>

<span>= x^4 + x^3 + 2x^2 + 3x^3 + 3x^2 + 6x + x^2 + x +2 </span>

<span>Now collect all terms: </span>

<span>= x^4 + 4x^3 + 6x^2 + 7x + 2 </span>

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Y varies directly as x. Y=42 when x=6. Find the value of y when x =15.
pentagon [3]

Answer:

y=120

Step-by-step explanation:

Y varies directly as x is written as

y \alpha x

introducing a constant

y=kx

<em>from</em><em> </em><em>the</em><em> </em><em>ques</em><em>tion</em><em>,</em><em> </em><em>whe</em><em>n</em><em> </em><em>y</em><em>=</em><em>4</em><em>8</em><em>,</em><em> </em><em> </em><em>x</em><em>=</em><em>6</em>

<em>sub</em><em>stitute</em><em> </em><em>it</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>form</em><em>ula</em>

<em>4</em><em>8</em><em>=</em><em>6</em><em>k</em>

<em>making</em><em> </em><em>k</em><em> </em><em>the</em><em> subject</em><em> </em><em>by </em><em>divi</em><em>ding</em><em> </em><em>thr</em><em>ough</em><em> </em><em>by</em><em> </em><em>6</em>

<em>\frac{48}{6}  =  \frac{6k}{6}</em>

k=48/6

k=8

<em>put</em><em> </em><em>the</em><em> </em><em>va</em><em>lue</em><em> </em><em>of</em><em> </em><em>k</em><em> </em><em>in</em><em> </em><em>the </em><em>expression</em><em> </em><em>y</em><em>=</em><em>kx</em>

<em>y</em><em>=</em><em>8</em><em>x</em>

from the question,the value of y when x=15 is given by

y=8×15

y=120.

4 0
3 years ago
Determine the value c so that each of the following
Levart [38]
This can help you

a) since it is discrete we need to think about the sum thing it it was continuous we would look at an integral thing so I think if I remember correctly we need to find c such that <span><span>∑<span>i=0</span>3</span>c(<span>x2</span>+4)=1
b) </span> problem b is a similar setup


4 0
4 years ago
Which has a measure that is equal to the sum of the measures of the interior angles of a triangle?
Gwar [14]
The answer is a straight line
8 0
3 years ago
Read 2 more answers
Whats the answer PLS
Alexxx [7]

Answer:

48+23(6)½

Step-by-step explanation:

A = l × w

A =[(8-(6)^½) × (9+4(6)^½)]

A =8(9+4(6)^½) + [-(6)^½(9+4(6)^½]

A =(72 + 32(6)^½ - 9(6)^½ - 24)

A =(72 - 24 + 32(6)^½ - 9(6)^½)

A =(48 + 23(6)^½)

3 0
3 years ago
I've been struggling a bit with Composite Figures. This is 2 ones I've really struggled with though so, could I have some help?
Natali5045456 [20]
You are right with : Which shapes could a pentagon be decomposed into to find its area? Chose all that apply.
C. five triangles
D. one triangle and one trapezoid
And #2: Is (A) and (C)
6 0
4 years ago
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