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3 years ago

How do you simplify each expression 3-5w+12+2w-3

Mathematics

1 answer:

Wittaler [7]3 years ago

5 0

3-5w+12+2w-3
(3+12-3)=12
(-5w+2w)=-3w
-3w+12

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Use the discriminant to determine which graph could represent the equation. y=x^2+4x+5

lidiya [134]

ANSWER

See attachment.

EXPLANATION

The given function is

$y = {x}^{2} + 4x + 5$

When we compare this function to

$y = a{x}^{2} + bx + c$

We have a=1, b=4 and c=5

We put this inside the formula for the discriminant, which is

$D = {b}^{2} - 4ac$

$D = {4}^{2} - 4(1)(5)$

$D = 16 - 20 = - 4$

Since the discriminant is negative, the function has no x-intercepts.

The graph of this function is the one hanging in the air above the x-axis and opens upwards.

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3 years ago

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k0ka [10]

Answer:

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2 years ago

The perimeter of a rectangular concrete patio is 100 meters. it is 30 meters long. how wide is it?

34kurt

Perimeter is 2l+2w
100 =2(30) + 2w
100 =60 + 2w
-60 -60
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w=20 meters.

6 0

4 years ago

Algebra 1 :

victus00 [196]

What we have been given here are two points.

f(3) = -4 is the same as (3, -4)

f(2) = 6 is the same as (2, 6)

We can then use these two points to find the equation of a line.

Step 1: Find the slope

Slope Formula: (y2 - y1) / (x2 - x1)

Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10

Step 2: Find the y-intercept

To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.

Slope-Intercept Form: y = mx + b

Point = (2, 6)

6 = 2(-10) + b

6 = -20 + b

b = 26

Step 3: Create the equation of the line

Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.

y = -10x + 26

Answer: y = -10x + 26

Hope this helps!

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3 years ago

A hair salon receives a shipment of 84 bottles of hair conditioner to use and sell to customers. The two types are labels type A

Rom4ik [11]

$x-\ botlle\ A\\y-\ bottle\ B\\\\ \left \{ {{x+y=84} \atop {6,5x+8,25y=588}} \right. \\\\ \left \{ {{x=84-y} \atop {6,5x+8,25y=588}} \right. \\\\Substitution\ method\\\\
6,5(84-y)+8,25y=588\\\\
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3 years ago