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RSB [31]
3 years ago
14

I don't understand this, can somebody please explain it to me?

Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0
Looking at the equation, you could see that it is in vertex form. Vertex form looks like this: y=a(x-h)^2+k where a is the slope to find the first point away from the origin and (h,k) is the vertex. So, the vertex is (3,-1). The first point away from the origin is up two, over one, so the slope is 2. This means that a is 2. One way you could check this is by putting 2 in for a. If you put it into standard form, it would be 2x^2-12x+17. To find the x in the vertex when the equation is in standard form we use -b/2a. So it would give us 3 for x. If we put in 3 for x, we get -1 for y, so the vertex is (3,-1). This means that a is 2. Sorry for this lengthy answer, hope it helps.
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Which expression is equivalent to (z−3)4z−6 for all values of z where the expression is defined?
kvv77 [185]

The equivalent of the expression [ (z−3)4z−6 ] is 4z² - 12z - 6.

<h3>What is the equivalent of the expression?</h3>

Given the expression; (z−3)4z−6

First, we apply distributive property.

(z−3)4z−6

(z−3)4z−6

z(4z) - 3(4z) - 6

We remove the parentheses

4z² - 12z - 6

Therefore, the equivalent of the expression [ (z−3)4z−6 ] is 4z² - 12z - 6.

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5 0
2 years ago
Show the result of substituting x=0 into 0.75x+1.5y=40
prohojiy [21]

Answer:

y=26.67

Step-by-step explanation:

The given equation is 0.75x+1.5y=40.

We need to show the result of substituting x=0 in above equation.

0.75x+1.5y=40

Put x = 0

0.75(0)+1.5y=40

0+1.5y=40

⇒ 1.5y=4

y=\dfrac{40}{1.5}\\\\y=26.67

So, the value of y = 26.67 when x = 0.

8 0
3 years ago
Tim is buying packages of paper plates and cups. He wants to have equal amounts of each, but plates come 24 per pack, and cups c
liraira [26]
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Using the 4 train car strategy for factoring polynomials, what is the green common factor for the 1st two train cars and the gre
koban [17]

The completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)

<h3>How to factor the polynomial?</h3>

The expression is given as:

2x^2 + 4x + 3xy + 6y

Group the expression into two

[2x^2 + 4x] + [3xy + 6y]

Factor out each group

2x(x + 2) + 3y(x + 2)

Factor out x + 2

(2x + 3y)(x + 2)

Hence, the completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)

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7 0
2 years ago
Don’t understand these problems...need help
hichkok12 [17]

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