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3 years ago

Please help me.........

Mathematics

1 answer:

Georgia [21]3 years ago

5 0

Hi there!

In order to find the perimeter of the blanket, you'll need to multiply both values by 2, then add them together. Remember, the perimeter is the total exterior measurements. Use this equation: 2(3x + 7) + 2(2x - 3). Now, distribute: 6x + 14 + 4x - 6. Lastly, simplify: 10x + 8 cm.

Hope this helps!!
If there's anything else that I can help you with, please let me know!

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Answer:

See explanation

Step-by-step explanation:

1. Factor the function $f(x)=-2x^2+16x-30:$

$f(x)=-2x^2+16x-30=-2x^2+6x+10x-30=-2x(x-3)+10(x-3)=-2(x-3)(x-5).$

2. The zeros (or the solutions of the equation f(x)=0) are x=3 and x=5. So? points (3,0) and (5,0) are the points on the graph that are the solutions of the equation.

3. Find the vertex:

$x_v=-\dfrac{b}{2a}=-\dfrac{16}{2\cdot (-2)}=4,\\ \\y_v=-2\cdot 4^2+16\cdot 4-30=-32+64-30=2.$

Thus, the coordinates of the vertex are (4,2) and the axis of symmetry is the vertical line that passes trough the vertex: x=4.

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