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Shalnov [3]
3 years ago
15

Given: F(x)=2x-1; g(x)=3x+2; h(x)=x^2 find h(x+a)-h(x)

Mathematics
2 answers:
umka21 [38]3 years ago
5 0
h(x)=x^2\\\\h(x+a)=(x+a)^2=x^2+2ax+a^2\\\\h(x+a)-h(x)=(x^2+2ax+a^2)-(x^2)=2ax+a^2
shusha [124]3 years ago
4 0

yes a^2+2ax is correct


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4 gallons, 3 quarts are equal to how many pints
Lelu [443]

Answer:

14 pints

Step-by-step explanation:

1 gallon = 8 pints

3 quarts= 6 pints

8+6=14

3 0
3 years ago
Which ordered pairs is a solution to −5x + 3y > 12?
In-s [12.5K]

<u>Answer </u><u>:</u><u>-</u>

Given inequality ,

  • -5x +3y > 12
  • 3y > 5x + 12
  • y > 5/3x + 12/3
  • y > 5/3x + 4

From the options ,

<u>When </u><u>x </u><u>is </u><u>3</u><u> </u><u>and </u><u>y </u><u>=</u><u> </u><u>9</u>

  • y >1* 5 + 4
  • y > 5 +4
  • 9> 9 ( Not possible )

<u>When</u><u> </u><u>x </u><u>is </u><u>-</u><u>5</u><u> </u><u>y</u><u> </u><u>is </u><u>5</u><u> </u>

  • y > 5/3*-5 + 4
  • y > -8.3 + 4
  • 5 > -3.7 ( Possible )

<u>When </u><u>x </u><u>is </u><u>3</u><u> </u><u>y </u><u>is </u><u>-</u><u>6</u><u> </u>

  • y > 5 + 4
  • -6 > 9 ( Not possible )

<u>When </u><u>x </u><u>is </u><u>-</u><u>2</u><u> </u><u>y </u><u>is </u><u>-</u><u>5</u><u> </u>

  • y > -3.33 + 4
  • -5 > -0.67 ( Possible )

<u>When </u><u>x </u><u>is </u><u>2</u><u> </u><u>y </u><u>is </u><u>8</u><u> </u>

  • y > 3.33 + 4
  • 8 > 7.77 ( possible )

<u>When</u><u> </u><u>x </u><u>is </u><u>-</u><u>6</u><u> </u><u>y </u><u>is </u><u>0</u><u> </u>

  • y > -10 +4
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7 0
3 years ago
Read 2 more answers
The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?
Ghella [55]

Let the four consecutive integers be

x , x+1, x+2, x+3

ATQ, Their sum is 18

\sf \: x + x + 1 + x + 2 + x + 3 = 18

\sf \: 4x + 1 + 2 + 3 = 18

\sf4x + 6 = 18

\sf4x = 18 - 6

\sf4x = 12

\boxed{ \mathfrak{x = 3}}

<h3>Now,</h3>

  • 1st number = x = 3
  • 2nd number = x+1 = 3+1 = 4
  • 3rd number = x+2 = 3+2 = 5
  • 4th number = x+3 = 3+3 = 6

<em>The four numbers are 3,4,5,6 respectively and the smallest number among them is 3</em><em>.</em><em>.</em><em>.</em><em>~</em>

6 0
2 years ago
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ICE Princess25 [194]

When you square the radius = 6×6= 36. Multiply 36×3×3.14=339.12. Using the formula, you then multiply 1/3×339.12=339.12/3= 113.04 in^3. Final answer is 113.04^3

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3 years ago
Describe fully the single
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Answer:

Rotation 90⁰ clockwise about point (-1,-1)

3 0
3 years ago
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