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2 years ago

Factored Form: y=2(x+5)(x+4) What are the x- intercepts, y-intercepts, and vertex?

Mathematics

1 answer:

geniusboy [140]2 years ago

6 0

X=-5,-4
Vertex = -b/2a= -9/2
Y intercept= 40

Mark brainliest please

Hope this helps you

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Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. 2x+3y=6

sweet-ann [11.9K]

Answer:

x-intercept: (3, 0)

y-intercept: (0, 2)

Step-by-step explanation:

For a function like:

y = f(x)

The x-intercept is the value of x when y = 0

the y-intercept is the value of y when x = 0

Also remember that an ordered pair is written as (x, y).

In this case we have the equation:

2*x + 3*y = 6

For the x-intercept, we just replace y by zero in the equation, then we get:

2*x + 3*0 = 6

Solving this for x, we get:

2*x = 6

x = 6/2 = 3

Then in this case, the ordered pair for the x-intercept is (3, 0)

For the y-intercept, we just need to replace x by zero in the equation:

2*0 + 3*y = 6

Solving this for y, we get:

3*y = 6

y = 6/3 = 2

Then the ordered pair for the y-intercept is (0, 2)

8 0

3 years ago

Alvin’s age is two times Elga’s age. The sum of their age is 60. What is Elga’s age?

Nady [450]

x = Elgas age

2x = Alvins age

x +2x = 60

3x =60

x = 60/3 = 20

Elga is 20 years old

4 0

3 years ago

(4x + 4)(ax – 1) – x2 +4

Oksana_A [137]

Answer:

b=-3

Step-by-step explanation:

If the expression simplifies to bx that means the $x^{2}$ terms and the constant terms must be cancel out.

Simplify it first.

$(4x+4)(ax-1)-x^{2} +4\\=(4ax^{2} -4x+4ax-4)-x^{2} +4\\=4ax^{2} -x^{2} -4x+4ax-4+4\\=4ax^{2} -x^{2} -4x+4ax$

We know –4 + 4 will cancel out. If we simplify this expression to only an x term, then the $x^{2}$ terms should be cancelled. Therefore, we say that 4ax^2 – x^2 = 0.

$4ax^{2} -x^{2} =0\\x^{2} (4a-1)=0\\4a-1=0\\4a=1\\a=\frac{1}{4}$

If we put a = ¼, then we can find the value of b:

$=4(\frac{1}{4} )x^{2} -x^{2} -4x+4(\frac{1}{4} )x\\=x^{2} -x^{2} -4x+x\\ (cancel out x^{2} terms)\\$

$=-3x$

$bx=-3x\\$ if the expression is equivalent to bx

Therefore, b = –3.

8 0

3 years ago

SOLVE WITH AN EXPLANATION PLS

Softa [21]

Answer:

Option C
Option B

Step-by-step explanation:

<u>Let's simplify this further to get our answer.</u>

-5/6(12 - 6x + 18y)
=> -60/6 + 30x/6 - 90y/6
=> -10 + 5x - 15y

Looking at the options, we can say that Option C and B are correct.

5 0

2 years ago

Read 2 more answers

Select the better deal in the pair. Then give the unit rate for the better deal.

choli [55]

Answer:

Brand 2 is the better deal

Step-by-step explanation:

4 0

3 years ago