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2 years ago

Raj is 3 inches taller than Howared. Let h represent Howards height. write an algebraic expression to represent Raj's height.

1 answer:

4 0

Answer:
Let's say Raj's height is 60 inches
60-3 = H
H= Howard's height
60 = Raj's height
Or it could be with two variables
R-3 = H
R = Raj's height

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2 years ago

Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.

butalik [34]

Answer:

x = 6 months.

The equation is given by $45 + ($49.45 × x) = ($56.95 × x).

Step-by-step explanation:

i) Let x be the number of months of Internet Service purchased till the Fast

Internet charges and Quick Internet charges become the same.

ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)

iii) Charges for Quick Internet for x months is given by ($56.95 × x)

iv) According to the first statement we will now equate the equations in ii)

and iii) and solve for x.

Therefore, $45 + ($49.45 × x) = ($56.95 × x)

45 + 49.45 x = 56.95 x

Therefore (56.95 - 49.45) x = 45

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Therefore x = 45 ÷ 7.5 = 6

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3 years ago

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GenaCL600 [577]

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2 years ago

Determine the next step for solving the quadratic equation by completing the square.

Studentka2010 [4]

Answer:

The solutions are $x=\frac{1+\sqrt{7}}{2}$ and $x=\frac{1-\sqrt{7}}{2}$

Step-by-step explanation:

we have

$0=-2x^{2}+2x+3$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$-3=-2x^{2}+2x$

Factor the leading coefficient

$-3=-2(x^{2}-x)$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$-3-0.5=-2(x^{2}-x+0.5^{2})$

$-3.5=-2(x^{2}-x+0.5^{2})$

Rewrite as perfect squares

$-3.5=-2(x-0.5)^{2}$

$7/4=(x-0.5)^{2}$

square root both sides

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$x-\frac{1}{2}=(+/-)\frac{\sqrt{7}}{2}$

$x=\frac{1}{2}(+/-)\frac{\sqrt{7}}{2}$

$x=\frac{1+\sqrt{7}}{2}$

$x=\frac{1-\sqrt{7}}{2}$

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2 years ago

Determine the product

astraxan [27]

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2 years ago

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