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3 years ago

14

Write the algebraic expression that matches each graph: y=

1 answer:

stiv31 [10]3 years ago

7 0

Equation is y = | x - 2 | - 2

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A 12 inch candle and an 18 inch Candle are lit at 6 p.m. The 12 inch candle burns 0.5 inches every hour. The 18 inch candle burn

Stella [2.4K]

18 - 2H = 12 - .5H
Combine the variables
18 - 2H + .5H = 12 - .5H + .5H
18 - 1.5H = 12
Combine the whole numbers
18 - 18 - 1.5H = 12 - 18
-1.5H = -6
Divide by -1.5
-1.5H/-1.5 = -6 / -1.5
H = 4
The answer is 4 hours

7 0

3 years ago

HELP PLEASE!!!!!!!!

lana [24]

Answer:

Step-by-step explanation:

If you divide 2,727 miles by 27 miles per gallon you will get the number of gallons: = 101. Then, multiply the number of gallons by the cost per gallon: 101(4.04) = 408.04. This gives the cost of gas for this car to travel 2,727 typical miles.

4 0

4 years ago

Evaluate the algebraic expression by using the distributive property: 7(7x+y)

11111nata11111 [884]

Answer:

Step-by-step explanation:

14x + 7y is the correct answer

3 0

3 years ago

Read 2 more answers

Find the 52nd term of the arithmetic sequence ?

Gwar [14]

不完整的问题，对不起，伙计。

本题已由中国数学会官方解答（现有会员：2人）

3 0

2 years ago

Read 2 more answers

. If α and β are the roots of

Lostsunrise [7]

Answer:

$18x^2+85x+18 = 0$

Step-by-step explanation:

<u><em>Given Equation is </em></u>

=> $2x^2+7x-9=0$

Comparing it with $ax^2+bx+c = 0$ , we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = $-\frac{b}{a}$

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

<em>Now, Finding the equation whose roots are:</em>

α/β ,β/α

Sum of Roots = $\frac{\alpha }{\beta } + \frac{\beta }{\alpha }$

Sum of Roots = $\frac{\alpha^2+\beta^2 }{\alpha \beta }$

Sum of Roots = $\frac{(\alpha+\beta )^2-2\alpha\beta }{\alpha\beta }$

Sum of roots = $(\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}$

Sum of roots = $\frac{49}{4} + 9 /\frac{-9}{2}$

Sum of Roots = $\frac{49+36}{4} / \frac{-9}{2}$

Sum of roots = $\frac{85}{4} * \frac{2}{-9}$

Sum of roots = S = $-\frac{85}{18}$

Product of Roots = $\frac{\alpha }{\beta } \frac{\beta }{\alpha }$

Product of Roots = P = 1

<u><em>The Quadratic Equation is:</em></u>

=> $x^2-Sx+P = 0$

=> $x^2 - (-\frac{85}{18} )x+1 = 0$

=> $x^2 + \frac{85}{18}x + 1 = 0$

=> $18x^2+85x+18 = 0$

This is the required quadratic equation.

5 0

3 years ago

Read 2 more answers