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2 years ago

Which of the following statements describes a correct method for solving the equation below?

Mathematics

1 answer:

Georgia [21]2 years ago

6 0

A.
You must perform the opposite reaction when cancelling out numbers.

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The answer is: The third option/C

Step-by-step explanation:

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What is 32\68 in simpilest form

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32/68 can be reduced to 8/17.

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Multiply the following fractions. Reduce your answer to lowest terms. 3/7 4/5

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Which function does this graph represent? A. F(x) = 3(x 1)2 2 B. F(x) = -3(x 1)2 2 C. F(x) = -3(x 1)2 − 2 D. F(x) = 3(x − 1)2 2.

zubka84 [21]

By analysing graph and then checking for all options we got that graph represent the function F(x) = -3(x +1)^2+ 2

<h3>What is function ?</h3>

Function is a relation from one set to another with a property that every element of a first set has a unique image in second set.

Here by looking at graph we can say that graph is if a quadratic equation

and it passes through (0,-1) and also from (-1,2)

Now we will check all options

(1)

Given function is

$F(x) = 3(x +1)^2+ 2$

Put x=0

$F(0) = 3(0+1)^2+ 2=3+2=5$

This function not passes through point (0,-1)

(2)

Given function is

$F(x) = -3(x +1)^2+ 2$

Put x=0

$F(0) = -3(0+1)^2+ 2=-3+2=-1$

Put x= -1

$F(-1) = -3(-1 +1)^2+ 2=0+2=2$

This function passes through both points (0,-1) and (-1,2)

(3)

Given function is

$F(x) = -3(x +1)^2- 2$

Put x= -1

$F(-1) = -3(-1 +1)^2-2=0-2=-2$

This function not passes through point (-1,2)

(4)

Given function is

$F(x) = 3(x +1)^2+ 2$

Put x=0

$F(0) = 3(0+1)^2+ 2=3+2=5$

This function not passes through point (0,-1)

By analysing graph and then checking for all options we got that graph represent the function F(x) = -3(x +1)^2+ 2

To learn more about function visit : brainly.com/question/25638609

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2 years ago

Solve the simultaneous equations<br> 4x + 3y = 20<br> 4x + 2y = 14

fiasKO [112]

Step-by-step explanation:

$\underline{ \underline{ \text{Given}}} :$

$\tt{4x + 3y = 20........... \text{ equation \: ( \: i \: )}}$
$\tt{4x + 2y = 14.......... \text{equation \: (ii)}}$

$\underline{ \text{USE \: ELIMINATION \: METHOD}} :$

Subtract equation ( ii ) from equation ( i ) :

Remember that the sign of each term of the second expression changes i.e equation ( i ) now becomes -4x -3y = -20

$\tt{ \cancel{4x }+ 2y = 14}$

$\tt{ \cancel{ - 4x} - 3y = - 20}$

__________________

$\tt{ - y = - 6}$

⟿ $\tt{ \boxed{ \tt{y = 6}}}$

Again , Substituting the value of y in equation ( ii ) :

⟿ $\tt{4x + 2 \times 6 = 14}$

⟿ $\tt{4x + 12 = 14}$

⟿ $\tt{4x = 2}$

⟿ $\boxed{ \tt{x = \frac{1}{2}}}$

$\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : x = \frac{1}{2 } \: and \: y = 6}}}}$

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8 0

2 years ago