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3 years ago

WILL MAKE YOU BRAINLIEST PLEASE HELP!!!!!

Mathematics

1 answer:

mixer [17]3 years ago

5 0

Answer:

Step-by-step explanation:

f(-2)=3(-2)-4

=-6-4

=-10

G(-10)=-(-10)+7

=17

17-(-10)=27

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. If α and β are the roots of

Lostsunrise [7]

Answer:

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

Step-by-step explanation:

Given Equation is

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

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

Now, Finding the equation whose roots are:

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

The Quadratic Equation is:

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

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

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

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

This is the required quadratic equation.

5 0

3 years ago

Read 2 more answers

Perform the indicated operation and write the answer in the form a + bi. (–1 + 5i) + (3 + 7i)

pashok25 [27]

Answer:

12i + 2

Step-by-step explanation:

Combine like terms.

-1 + 3 = 2

5i + 7i = 12i

12i + 2 is your answer.

5 0

3 years ago

During a business trip, an individual stopped at two rest stops. In the parking lot of the first rest stop, they counted 20 cars

olganol [36]

Answer

given,

on first stop

number of car = 20 and number of trucks = 18

on second stop

number of car = 18 and number of trucks = 10

we need to calculate which rest stop has higher ratio of car to truck.

Rest Stop 1

ratio= r₁ = $\dfrac{cars}{trucks}$

r₁ = $\dfrac{20}{18}$

r₁ = $\dfrac{10}{9}$

Rest Stop 2

ratio= r₂ = $\dfrac{cars}{trucks}$

r₂ = $\dfrac{18}{10}$

r₂= $\dfrac{9}{5}$

hence, r₂ > r₁

rest stop 2 has more car to truck ratio than rest stop 1

3 0

3 years ago

Find the volume of a pyramid with a square base, where the perimeter of the base is

NikAS [45]

Answer:

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Step-by-step explanation:

8 0

3 years ago

(g, 6) and (-5, -9) Slope = 3/2

Nonamiya [84]

Answer:

g=5

Step-by-step explanation:

(-9)-(6) / (-5)-(g) = 3/2

3 x -(g+5) = 2 x -15

g+5=10

g=5

4 0

3 years ago

Read 2 more answers