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4 years ago

Urgent help! can someone answer these questions for me?

Mathematics

1 answer:

pantera1 [17]4 years ago

4 0

Answer:

she needs 600 g chocolate. He needs 150 g flour. his recipe is for 6 people

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Suppose the roots of the equation 2x^2−5x−6=0 are α and β.Find the quadratic equation with roots 1/α and 1/β.

pochemuha

Answer:

6x² + 5x - 2 = 0

Step-by-step explanation:

Given

2x² - 5x - 6 = 0 ← in standard form

with a = 2, b = - 5, c = - 6, then

sum of roots α + β = - $\frac{b}{a}$ = $\frac{5}{2}$

product of roots = $\frac{c}{a}$ = - 3, then

sum of new roots = $\frac{1}{\alpha }$ + $\frac{1}{\beta }$

= $\frac{\beta+\alpha }{\alpha \beta }$

= $\frac{\frac{5}{2} }{-3}$ = - $\frac{5}{6}$

product of new roots = $\frac{1}{\alpha }$ × $\frac{1}{\beta }$

= $\frac{1}{\alpha\beta }$ = - $\frac{1}{3}$

Hence the required equation is

x² + $\frac{5}{6}$ x - $\frac{1}{3}$ = 0 or

6x² + 5x - 2 = 0 ( multiplying through by 6 )

8 0

3 years ago

Solve for x.

olga nikolaevna [1]

Answer:

$\boxed{x=5},x=-9$

Step-by-step explanation:

To rid the denominators, multiply both sides by $(x-3)(x+1)$ .

We get:

$6(x+1)-12(x-3)=(x-3)(x+1)$

Simplifying, we have:

$6x+6-12x+36=x^2-3x+x-3,\\-6x+42=x^2-2x-3,\\x^2+4x-45=0$

Solving, we get:

$x^2+4x-45=0,\\(x-5)(x+9)=0,\\x=5,x=-9$

Therefore, the solution with the greatest value is $x=\boxed{5}$

8 0

3 years ago

The four rectangles shown have different side lengths.

RUDIKE [14]

Answer is <span>D.
A and D

A = 2(6+2) = 16
D = 2(4+3) = 16
both have perimeters = 16</span>

8 0

3 years ago

Could u answer all and explain it to me?

Oksi-84 [34.3K]

I got the same book with those same answers ima bout to get it ok

3 0

3 years ago

What is the mode of the data set? 61, 92, 61, 89, 92, 61 Enter your answer in the box.

alisha [4.7K]

61 because it occurs the most
Hope that helped:)!!!!!!!

3 0

3 years ago