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mars1129 [50]
3 years ago
5

Solve for x 4 3/10-(2 2/5x+5 1/2)=1/2(-3 3/5x+1 1/5)

Mathematics
1 answer:
KIM [24]3 years ago
6 0

Answer:

X  =  - 3

Step-by-step explanation:

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The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on
Ierofanga [76]

Answer:

y =-\frac{1}{2}(x +2)(x - 3)

Step-by-step explanation:

Given

x_1 = -2

x_2 = 3

(x,y) = (-1,2) --- a point on the parabola

Required

The equation

First, calculate the equation from the zeros

y =k(x - x_1)(x - x_2)

Substitute x_1 = -2 and x_2 = 3

y =k(x - -2)(x - 3)

y =k(x +2)(x - 3)

To solve for k, we substitute (x,y) = (-1,2)

2 = k(-1+2)(-1-3)

2 = k(1)(-4)

2 = -4k

Divide by -4

k=\frac{2}{-4}

k=-\frac{1}{2}

So, the equation is:

y =k(x +2)(x - 3)

y =-\frac{1}{2}(x +2)(x - 3)

8 0
3 years ago
Solve equation<br> 24a-22=-4 (1-6a)
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The sales tax rate is 5.5%. Find the tax paid for a coat that costs $60.
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3 years ago
The two ends of this triangular right prism are equilateral triangles. The
faltersainse [42]

Answer:

280

Step-by-step explanation:

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Hope this helps!!!

7 0
3 years ago
Read 2 more answers
Determine g(x+a)−g(x) for the following function.<br> g(x)=4x2−6x
Ilia_Sergeevich [38]

Answer:

8ax + (4a²- 6a)

Step-by-step explanation:

g(x)=4x²−6x

g(x+a)

= 4(x+a)² - 6(x+a)

= 4( x² + 2ax + a²) - 6x - 6a

= 4x² + (4)2ax + (4)a² - 6x - 6a

= 4x² + 8ax + 4a² - 6x - 6a

= 4x² + 8ax  - 6x + 4a²- 6a

= 4x² + (8a  - 6)x + (4a²- 6a)

g(x+a) - g(x)

= [4x² + (8a  - 6)x + (4a²- 6a)] - (4x²−6x)

=  4x² + (8a  - 6)x + (4a²- 6a) - 4x² + 6x

= (8a  - 6)x + (4a²- 6a) + 6x

= (8a  - 6 + 6)x + (4a²- 6a)

= 8ax + (4a²- 6a)

4 0
4 years ago
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