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3 years ago

How to solve -2(5n+6)+5(2-7n)

Mathematics

2 answers:

Nana76 [90]3 years ago

7 0

Answer:

-45n+(-2)

Step-by-step explanation:

-10n+(-12)+10-35n

-45n+(-2)

Alex Ar [27]3 years ago

5 0

Answer:

-45n-2

Step-by-step explanation:

Let's get rid of parenthesis first using distributive property!

-10n-12+10-35n

Combine like terms!

-10n-35n--12+10

-45n-2 would be the final expression

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Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

7 0

3 years ago

Consider the following system of equations.

Dmitrij [34]

Answer:

C. When the equations -10x + 5y = -60 and -3x − 5y = -5 are added together, a third linear equation, -13x = -65, is formed, and it shares a common solution with the original equations.

Step-by-step explanation:

2x-y=12

-3x-5y=-5

multiply the first equation by -5

-10x +5y = -60

add the 2 equations together

-3x-5y=-5

-10x +5y = -60

-------------------------

-13x = -65

We use the addition property of equality which says adding the same thing to both sides, doesn't change the equation, so we will get the same answer as the original equation

6 0

3 years ago

Add and simplify: 9/16 + 1/2=?

kozerog [31]

9/16+ 1/2
= 9/16+ (1*8) / (2*8)
= 9/16+ 8/16 (common denominator is 16)
= (9+8)/16
= 17/16
= (16+1)/16
= 16/16+ 1/16
= 1+ 1/16
= 1 1/16

The final answer is 1 1/16~

8 0

3 years ago

Read 2 more answers

What is the minimum number of pieces of information you think you would need in order to prove that a given quadrilateral is a s

pashok25 [27]

Answer:

At least 4 numbers of information is needed

The four are highlighted below in the explanation section

Step-by-step explanation:

1. Given that the shape has four right angles and that all its sides are congruent then it's a quadrilateral

2. If two sides are consecutively congruent it is a quadrilateral shape

3. If a rhombus contains a right angle, then it’s a square shaped rhombus