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scoray [572]
4 years ago
9

Katie wants to hang a painting in a gallery. The painting and frame must have an area of 45 square feet. The painting is 6 feet

wide by 7 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?.
Mathematics
1 answer:
Vilka [71]4 years ago
8 0
The answer is 4x^2+26x-3=0
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Find the slope of the line that passes through the points (-3, 2) (5, 4).
Keith_Richards [23]
Answer: 1/4

Hope this helps : )
8 0
3 years ago
Last year 63 inches of rain fell oaktown. In pine city 7 inches of rain fell last year. Write and solve equation to find how man
Nonamiya [84]

Answer:

Oaktown had 9 times more inches of rain than Pine City did.

Step-by-step explanation:

63 divided by 7 = 9.

Very simple problem. Glad to help.

4 0
3 years ago
Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities inclu
Softa [21]

<u>Answer-</u>

<em>The polynomial function is,</em>

y=x^4-10x^3+38x^2-64x+40

<u>Solution-</u>

The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1

The general form of the equation will be,

\Rightarrow y=(x-(2))^2(x-(3+i))(x-(3-i))   ( ∵ (3-i) is the conjugate of (3+i) )

\Rightarrow y=(x-2)^2(x-3-i)(x-3+i)

\Rightarrow y=(x^2-4x+4)((x-3)-i)((x-3)+i)

\Rightarrow y=(x^2-4x+4)((x-3)^2-i^2)

\Rightarrow y=(x^2-4x+4)((x^2-6x+9)+1)

\Rightarrow y=(x^2-4x+4)(x^2-6x+10)

\Rightarrow y=x^2x^2-6x^2x+10x^2-4x^2x+4\cdot \:6xx-4\cdot \:10x+4x^2-4\cdot \:6x+4\cdot \:10

\Rightarrow y=x^4-10x^3+14x^2+24x^2-40x-24x+40

\Rightarrow y=x^4-10x^3+38x^2-64x+40

Therefore, this is the required polynomial function.


4 0
4 years ago
3(x - 6) + 6 = 5x - 6. what is the solution<br>​
4vir4ik [10]

Answer:

x=-3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−6)+6=5x−6

(3)(x)+(3)(−6)+6=5x+−6(Distribute)

3x+−18+6=5x+−6

(3x)+(−18+6)=5x−6(Combine Like Terms)

3x+−12=5x−6

3x−12=5x−6

Step 2: Subtract 5x from both sides.

3x−12−5x=5x−6−5x

−2x−12=−6

Step 3: Add 12 to both sides.

−2x−12+12=−6+12

−2x=6

Step 4: Divide both sides by -2.

−2x

−2

=

6

−2

x=−3

7 0
4 years ago
Read 2 more answers
A boat costs $12,050 and decreases in value by 12% per year. How much will the bout be worth after 9 Years
Mrac [35]
Value of the boat after 9 years= 12050*(1-0.12)^9
=$3814(correct to nearest integer)
8 0
4 years ago
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