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3 years ago

Which statement correctly explains how Mari could find the solution to the following system of linear equations using

Mathematics

1 answer:

just olya [345]3 years ago

7 0

Multiply the first equation by 7 and the second equation by 2, and then add.

Step-by-step explanation:

2f - 5g=-9

-7f + 3g=4

To eliminate any variable , we need to make the coefficients same with different sign and add it

the coefficient of 'f' in first equation is 2

the coefficient of 'f' in second equation is -7

We already have different sign so we make the coefficients same

To make the coefficient same , we multiply the first equation by 7 and second equation by 2

So equation becomes

14f - 35g = -63

-14f + 6g = 8

Now when we add both equations, 'f' gets cancelled

-29g = -55

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A general formula for a parabola is x2 = 4py. What is the value of p in the equation x2 = 12y? p =

stepladder [879]

Answer:

p=3

Step-by-step explanation:

The given parabola has equation ;

$x^2=12y$

The general formula for a parabola is;

$x^2=4py$

To find the value of p, we need to compare the coefficient of y in both equations;

$\implies 4p=12$

Divide both sides by 4;

$\implies p=\frac{12}{4}$

$\implies p=3$

5 0

3 years ago

What are the roots of the equation x2 - 5x + 6 = 0?

Alenkasestr [34]

The answer is

B. -2 and 3

Step-by-step explanation :

Given the expression

x²- 5x + 6 = 0

Firstly we need to find two numbers that when multiplied will give us the constant term 6, and when added will give us the 2nd term 5

These numbers are 3 and 2

Substituting 2x +3x for 5x

x²- (2x+3x)+ 6 = 0

x²-2x-3x+6=0

(x²-2x)-(3x+6)=0

Factoring we have

x(x-2)-3(x-2)=0

x-3=0, x-2=0

x=3, x= 2

7 0

2 years ago

Complete the sequence <br> 3, -6, 12, -24 , 48

scoundrel [369]

3*-2=-6

-6*-2=12

The sequence is a number being multiplied by -2 over and over.

48, -96, 192, -384, 768, etc.

4 0

2 years ago

Read 2 more answers

10. How many three-topping pizzas can be ordered from the list of toppings below? Did you calculate the number of permutations o

Nimfa-mama [501]

Step-by-step explanation:

Total numbers of pizza toppings = 12

Number of three topping pizzas can be ordered are:

$P^{n}_{k}=\frac{n!}{(n-k)!}$

where = n = number of elements

k = number of elements choosen

n= 12 , k = 3

$\frac{12!}{(12-3)!} =\frac{12\times 11\times 10\times 9!}{9!}= 1,320$

We calculated the number of permutations. We made this choice because in permutation order of element matters but in combination its not.

8 0

2 years ago

Given that a = 10,

tankabanditka [31]

Since $a = 10$ and $b = 2x + 5$ , we have

$ab=10(2x+5)=20x+50$

So, the equation becomes

$ab = 6x^2 +11x-10 \iff 20x+50= 6x^2 +11x-10 \iff 6x^2-9x-60=0$

The solutions to this equation are 4 and -5/2, so I'm afraid there's a typo in your question.

3 0

2 years ago