Simplify: –3(y + 2)2 – 5 + 6y What is the simplified product in standard form?

Answers

Answer 1

Answer: standard form, I assume is ay^2+by+c
so expand this stuff
-3(y+2)^2-5+6y
do exponent first
(y+2)^2=(y+2)(y+2)=y²+2y+2y+4=y²+4y+4
now

-3(y²+4y+4)-5+6y
multiply/distribute
-3y²-12y-12-5+6y
regroup like terms
-3y²-12y+6y-12-5
-3y²-6y-17
that is standard form

Answer 2

Answer:

The simplified product in standard form is $-3y^2 -6y -17$

Given the following equation:

$-3(y + 2)^2 - 5 + 6y$

To find the simplified product in standard form:

A quadratic equation is a mathematical expression that one of its variables is to the degree of 2 and as such, it has two roots.

In Mathematics, the standard form of a quadratic equation is given by;

$ax^2 + bx + c = 0$

Simplifying the given mathematical equation, we have;

$-3(y + 2)^2 - 5 + 6y\n\n-3(y + 2)(y+2) - 5 + 6y\n\n-3(y^2 + 2y +2y+4) -5 + 6y\n\n-3y^2 -6y -6y-12-5+6y\n\n-3y^2 -12y -17+6y\n\n-3y^2 -6y -17$

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Removing which point from the coordinate plane would make the graph a function of x? On a coordinate plane, points are at (negative 2, negative 3), (negative 2, 1), (negative 4, 3), (0, 4), (1, 1), and (2, 3).

Answers

Answer: The first or the second point (- 2, - 3) or (- 2, 1)

Step-by-step explanation:

Ok, a relation (x, y) is a function only if, for each value x in the domain, we have only one value y in the range such that:

f(x) = y.

Here we have the pairs:

(- 2, - 3), (- 2, 1), (- 4, 3), (0, 4), (1, 1), and (2, 3).

Here, for the value x = -2, we have two different values of y.

y = 1 and y = 3.

So this is not a function, then if we want that this relation becomes a function, we must remove the first or the second point.

Answer:

I think B

Step-by-step explanation:

x + 3y = 7 x - 3y = 1 Solve the system of equations. A) x = 4, y = 1 B) x = 1, y = 4 C) x = - 2 3 , y = 3 D) x = 3, y = - 2 3

Answers

x+3y=7
x-3y=1
add them together

x+3y=7
x-3y=1 +
2x+0y=8

2x=8
divide 2
x=4
subsitute
x+3y=7
4+3y=7
subtract 4
3y=3
divid 3
y=1

x=4
y=1

answer is A

X + 3y = 7
x - 3y = 1

x + 3y = 7
- 3y -3y

x = 7 - 3y

x - 3y = 1
7 - 3y - 3y = 1
7 -6y = 1
-7 -7

-6y = -6
y = 1

Now solve for x

X + 3y = 7
x + 3 = 7
x = 4

Now we have our values:-
x = 4 and y = 1

Answer: A) x = 4, y = 1

What is the simplist form of 240/1000

Answers

Divide by 100 to reduce it to 24/100

Now divide by 4 to get 6/25

The simplest form is 6/25

Shade each model to show the answer to the following mathematical sentences

Answers

This is quite simple. Just solve the the fractions first then model it. It solve you need to make sure the denominator of both fractions that your either adding or subtracting, are the same or else it won’t work. For example, number 5, 5 3/4 needs to become 5 6/8, which is the same thing but only now you can subtract it to 3 1/8.

Once your down with that just shade in the boxes. If you have a whole number in front of that fraction fill in the number of boxes that number represents. When you get to the fraction part of the mixed number, just fill in a small portion of what the numerator states. Hope this helps

(?,3) is on the line y=2x+5 find the other coordinate

Answers

Think about this. What do the numbers in a coordinate stand for? They stand for X and Y. If you're trying to figure out what the X is, wouldn't you be solving for x? And didn't they just give you an equation? ;) First off, do you see how the "Y" value is given to you in the coordinate? All you have to do is substitute that 3 in for the "y" in the equation! 3=2x+5. Hey.... that looks like a simple equation! First, you need to subtract 5 from the other side of the equation. Now you're left with 2x=-2. Divide both sides by 2, and you get that x=-1. Now, just substitute that "x' value into the coordinate, and your answer should come out to be (-1, 3). :D

Solve for X in 5x/10=2

Answers

5x=2*10
5x=20
x=20/5
x=4

Given Equation: 5x/10 = 2.
Steps:

Step 1: Multiply both sides of the equation by the L.C.M of the numerators of both sides of the equation ( 10 and 1). L.C.M is 10

(5x/10).10 = 2x10

5x = 20

Step 2: Divide both sides by the co-efficient of x i.e.5

(5x)/5 = 20/5

x = 4

I hope this helps

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