Need help 20-24 anything helps

What is the value of x?

Olegator [25]

Answer:

x is a value that is not yet known

3 0

3 years ago

PS!<br> ..-4(7a + 5) = -160

inn [45]

4(7a + 5) = -160

mutiply the bracket by 4

(4)(7a)(4)(+5)= -160

28a+20= -160

move +20 to the other side

sign changes from +20 to -20.

28a+20-20= -160-20

28a= -180

Divide by 28

28a/28= -180/28

x= -180/28

reduce by dividing 4

-180/4= -45

28/4= 7

-45/7 or -6 3/7

Answer : x= -45/7 , x= -6 3/7

3 0

3 years ago

Сатре о

allsm [11]

Answer:

$mnb^2 = ac(m+n)^2$

Step-by-step explanation:

Given

$ax^2 +bx + c = 0$

Required

Condition that the roots is in m : n

Let the roots of the equation be represented as: mA and nA

A quadratic equation has the form:

$x^2 + (sum\ of\ roots)x + (product\ of\ roots)=0$

or

$x^2 - (\frac{b}{a})x + \frac{c}{a} = 0$

We have the roots to be mA and nA.

So, the sum is represented as:

$Sum = mA + nA$

$Sum = A(m + n)$

And the product is represented as:

$Product = mA * nA$

$Product = mnA^2$

By comparing:

$x^2 + (sum\ of\ roots)x + (product\ of\ roots)=0$

with

$x^2 - (\frac{b}{a})x + \frac{c}{a} = 0$

$Sum = -\frac{b}{a}$

$Product = \frac{c}{a}$

So, we have:

$Sum = -\frac{b}{a}$

$A(m + n) = -\frac{b}{a}$

Make A the subject:

$A = \frac{-b}{a(m+n)}$

$Product = \frac{c}{a}$

$mnA^2 = \frac{c}{a}$

Substitute $A = \frac{-b}{a(m+n)}$

$mn(\frac{-b}{a(m+n)})^2 = \frac{c}{a}$

$mn\frac{b^2}{a^2(m+n)^2} = \frac{c}{a}$

Multiply both sides by a

$a * mn\frac{b^2}{a^2(m+n)^2} = \frac{c}{a} * a$

$\frac{mnb^2}{a(m+n)^2} = c$

Cross Multiply:

$mnb^2 = ac(m+n)^2$

Hence, the condition that the ratio is in m:n is

$mnb^2 = ac(m+n)^2$

7 0

3 years ago

How can you check to see if two ratios form a proportion? Explain the method you used to find the answer to the previous problem

antiseptic1488 [7]

Answer:

In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

Step-by-step explanation:

In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

6 0

3 years ago

Read 2 more answers

A game has 3 possible outcomes, with probabilities p1, p2, and p3. The amount of money that you will win or lose for each outcom

3241004551 [841]

That expression is the expected value of your winnings, or "the average amount you will win (or lose) per game in the long run".

4 0

4 years ago

Read 2 more answers