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3 years ago

Compare - 3.5 and - 3. Use <, >, or =. -3.5 = -31 -3.5 < - 3 - -3.5> -3

Mathematics

1 answer:

shusha [124]3 years ago

8 0

Answer:

-3.5 < -3

Step-by-step explanation:

-3 is greater than -3.5

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Graph the equation y=−x²−8x−15 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.

s2008m [1.1K]

Answer:

Plot these points

(-3,0)

(-5,0)

(-4,1)

(-2,-3)

(-6,-3)

Step-by-step explanation:

Let find the zeros of the equation.

We can factor this equation.

Factor out the -1.

$- 1( {x}^{2} + 8x + 15)$

Factor using AC method

$- 1(x + 3)(x + 5)$

Set all the terms equal to zero.

$x + 3 = 0$

$x + 5 = 0$

$x = - 3$

$x = - 5$

So our x intercepts are -3,0 and -5,0.

To find our vertex, apply the -b/2a.

$\frac{8}{ - 2} = - 4$

Then

Substitute-4 for x.

$y = - {4}^{2} - 8( - 4) - 15 = 1$

So our vertex is at (-4,1).

Find some other points like -2 and -6.

To find -2, substitute-2 into the quadratic.

$y = - ( { - 2}^{2}) - 8( - 2) - 15 = - 3$

So -2,-3.

Since y=-4 is the axis of symmetry

-6,-3

5 0

3 years ago

Write an expression for the sequence of operations described below. Multiply u by t, subtract the result from v, then triple wha

Triss [41]

Answer:

The expression is 3(v - ut)

Step-by-step explanation:

* Lets explain how to solve the problem

- There are some words we can change them to mathematics symbols

# Add ⇒ +

# Subtract ⇒ -

# Multiply ⇒ ×

# Divide ⇒ ÷

- Ex:

# Add x and 6 ⇒ x + 6

# Subtract 7 from y ⇒ y - 7

# Multiply 5 by m ⇒ 5 × m = 5m

# Divide n by 2 ⇒ n ÷ 2 = n/2

* Lets solve the problem

- We want to write an expression for the sequence of operations

described below

- Multiply u by t, subtract the result from v, then triple what you have

* Lets make these operations

- Multiply u by t

∴ u × t = ut

- Subtract the result from v

- Means take ut from v, so v will come first

∵ The result is ut

∴ v - ut

- Triple what you have

∵ Triple means multiply by 3

∵ we have (v - ut)

∴ 3(v - ut)

* The expression is 3(v - ut)

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Divide 18 counters into 3 equal groups how many counters are in each group?SHOW YOUR WORK

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The sum of the numbers is 45
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