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3 years ago

If 4m + 1 = 7 then 4m = 6

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

6 0

Answer:

2) Subtraction Property of Equality Properties

General Formulas and Concepts:

Pre-Algebra

Addition Property of Equality - Adding on both sides
Subtraction Property of Equality - Subtracting on both sides
Multiplication Property of Equality - Multiplying on both sides
Division Property of Equality - Dividing on both sides
Transitive Property - If a = b and b = c, then a = c
Symmetric Property - If a = b then b = a

Step-by-step explanation:

Step 1: Define

4m + 1 = 7 → 4m = 6

Step 2: Identify

We see that we subtracted on on both sides of the equation. Therefore, we would have to use the Subtraction Property of Equality. Therefore, 2 is our answer.

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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 )

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3 years ago

one number is four greater than another number.the sum of two numbers is 78.what are the two numbers?

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Answer:

Step-by-step explanation:

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3 years ago

How much is this worth? Twice as much as 5 dimes and 3 pennies *

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3 years ago

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If p(x) = 2x2 – 4x and q(x) = x – 3, what is (p circle q) (x)?

mamaluj [8]

Answer:

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Step-by-step explanation:

Here, we want to get the composite function;

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All we have to do here is to replace the x value in p(x) by the totality of q(x)

we have this as ;

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2 years ago

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Oduvanchick [21]

we know that

If $(x-8)$ is a factor of the function $f(x)=-2x^{3}+17x^{2}-64$

then

$x=8$ is a root of the function f(x)

therefore

For $x=8$ the value of the function must be zero

Verify

Substitute the value of $x=8$ in the function

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