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3 years ago

Answer the question below 1 - (-4)

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

7 0

Answer:

Step-by-step explanation:

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A shelf holds 10 cans of beans, 6 cans of corn, 3 cans of tomatoes, and 1 can of carrots. Without looking you grab one can of ve

dlinn [17]

Answer:

13/20

Step-by-step explanation:

Add up the total number of cans.

Add up the total number of beans and tomatoes.

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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:

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

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

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

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

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3 years ago

The product of two consecutive numbers is 4 more than three times the larger. find the integer

Stella [2.4K]

Answer:

Step-by-step explanation:

Let the first integer be x, then the next is x+1.

x(x + 1) = 3(x + 1) + 4

x^2 + x = 3x+ 3 + 4

x^2 + x - 3x - 7 = 0

x^2 - 2x - 7 = 0

Solving this does not give an integer so maybe there's something wrong with the question??

7 0

2 years ago

Create a sequence in which 1 1/4 is added to each number

RSB [31]

1/4 1/2 3/4 1 1 1/4 1 1/2 1 3/4 2...

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3 years ago

Graph the equations to solve the system y=-3x-6. Y=-3x-7

Llana [10]

Answer:

Step-by-step explanation:

D. No solution

This is simply because -3x-6 cannot equal -3x-7 because -6 and -7 are different numbers therefore x is a false statement.

3 0

2 years ago

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