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3 years ago

The school lunch prices are changing next year. The cost of a hot lunch will increase $0.45

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

Answer:

$2.60- $0.45= $2.25 (Two dollars and 25 cents per one hot lunch is the cost of this year's lunch)

Step-by-step explanation:

To solve this word problem, first pin point what the question is asking.

The question wants you to determine the price of a hot lunch this school year.

The price of a hot lunch after the 45 cent raise will be $2.60.

So, based on this info, to solve the word problem you must take away the 45cent raise. $2.60- $0.45 = $2.25

To check if this answer is correct, add 45 cents to the this year cost($2.25) If you get $2.60, then your answer is correct.

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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)
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Therefore:

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

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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:

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

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

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6 0

1 year ago

Image point B'(4, -8) was transformed using the translation (x-2, y + 3). What were the coordinates of B?

DaniilM [7]

Answer:

B(6 , -11)

Step-by-step explanation:

(x-2 , y+3) = (4 , -8)

Compare the x & y co ordinates

x - 2 = 4 ; y + 3 = -8

x = 4 +2 ; y = -8 - 3

x = 6 ; y = -11

B(6 , -11)

8 0

3 years ago

What is the correct solution to 1/2(x+18)=4(2x-6)-9x

denis-greek [22]

Answer:

x = 22

Step-by-step explanation:

I interpreted your problem as:

$\frac{1}{2} (x+18) = 4(2x-6)-9x$

I simplified the problem to:

$\frac{1}{2} x+9 = 8x-24-9x$

I combined like terms:

$\frac{1}{2} x+9 = -x-24$

I moved all x to one side and all other constants to the other:

$\frac{3}{2} x = -33$

I divided by 3/2 (1.5) on both sides to isolate x:

$x = 22$

Hope it helps! (:

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3 years ago

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Feliz [49]

Answer:

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Step-by-step explanation:

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