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3 years ago

I need help with this question.

Mathematics

1 answer:

garik1379 [7]3 years ago

5 0

Definitely the first one

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Write a quadratic equation in standard form that has 5 3 and 7 3 as its roots. A) 9x2 − 36x + 35 = 0 B) 9x2 + 36x − 35 = 0 C) 9x

Serggg [28]

Answer:

Option A)

$9x^2 - 36x + 35 = 0$

Step-by-step explanation:

We are given the following in the question:

Roots of quadratic equation are:

$\alpha = \dfrac{5}{3}, \beta = \dfrac{7}{3}$

The sum of the roots and the product of the roots can be calculated as:

$\alpha + \beta = \dfrac{5+7}{3} = 4\\\\\alpha\beta = \dfrac{5}{3}\times \dfrac{7}{3} = \dfrac{5}{9}$

Standard form of quadratic equation:

$x^2-(\alpha + \beta)x+\alpha\beta = 0$

Putting values, we get,

$x^2 - 4x + \dfrac{35}{9} = 0\\\\9x^2 - 36x + 35 = 0$

is the required quadratic equation.

Thus, the correct answer is

Option A)

$9x^2 - 36x + 35 = 0$

5 0

3 years ago

For the direct variation such that when y = 2 then x = 3 , find the constant of variation ( k) and then find the value of y when

Sergeu [11.5K]

Answer:

k is 2/3 and y is -1/3 when x is -0.5.

Step-by-step explanation:

The direct variation relationship is y = kx, where k is the const. of var.

Subbing 3 for x and 2 for y, 2 = 3k, or k = 2/3.

Now, if x = -0.5, y = (2/3)(-1/2) = -1/3

k is 2/3 and y is -1/3 when x is -0.5.

8 0

3 years ago

Last Saturday there were 1486 people at the Cineplex there were about the same number of people in each of six theaters between

Gre4nikov [31]

Answer: The required two number will be 247 and 248.

Step-by-step explanation:

Since we have given that

Number of people at the Cineplex on last Saturday=1486

Number of theaters are there=6

Number of people in each theatres is given by

$\frac{1486}{6}=247.66$

So it must lie between 247 and 248.

As the number of people in each theatre is 247.66 so , it may be between 247 and 248.

So, the required two number will be 247 and 248.

6 0

3 years ago

Read 2 more answers

Which vectors represent the reflection of the vector <3, -7> across the x-axis?

brilliants [131]

Bonn. H j j I in j.

Mmmmm
Mmmmm

4 0

3 years ago

I need help fast i apperciate

Roman55 [17]

Answer:

Option d is the correct answer.

Step-by-step explanation:

tan A = 24/7

3 0

3 years ago

Read 2 more answers