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shusha [124]
3 years ago
14

Reduce the following algebraic expressions: 9x-(7x-5)-8(6x-2)

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
3 0

Answer:

21 - 46 x

Step-by-step explanation:

9x-(7x-5)-8(6x-2)

Distribute

9x -7x +5 -48x +16

9x-7x-48x +5+16

21 - 46 x

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Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm
VladimirAG [237]

Answer:

y=2x^2-4x-8

Step-by-step explanation:

<u>Factored form of a parabola</u>

y=a(x-p)(x-q)

where:

  • p and q are the x-intercepts.
  • a is some constant.

Given x-intercepts:

  • (1+√5, 0)
  • (1-√5, 0)

Therefore:

\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))

\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})

To find a, substitute the given point (4, 8) into the equation and solve for a:

\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8

\implies a(3-\sqrt{5})(3+\sqrt{5})=8

\implies4a=8

\implies a=2

Therefore, the equation of the parabola in factored form is:

\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})

Expand so that the equation is in standard form:

\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)

\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)

\implies y=2(x^2-2x-4)

\implies y=2x^2-4x-8

6 0
1 year ago
Which digit(s) make the solution of the equations the whole number? 5x-496=1.34...
umka21 [38]

Answer:

x≈ 100

Step-by-step explanation:

Given the equation

5x-496=1.34...

We are to find the value of x to the nearest whole number

Add 496 to both sides

5x-496+496 = 1.34+496

5x = 497.34

x = 497.34/5

x = 99.468

x ≈ 100

Hence the value of x to nearest whole number is 100

4 0
3 years ago
Help me Please help me please help me please help me please
ira [324]

Answer:

second box is 5 and third bo is 40 and forth box is 0.25 I think! Sorry if it’s wrong!

Step-by-step explanation:

you divide them all by four.

7 0
2 years ago
Read 2 more answers
Round this decimal!<br><br> 0.4944
Otrada [13]

1) 0.494

2) 0. 49

3) 0.5

7 0
2 years ago
Find the arc length of the partial circle.
Maurinko [17]

Answer:

Arc length

2\pi \times 8 \times  \frac{90}{360}  \\ 4\pi

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2 years ago
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