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3 years ago

PLEASE HELP! 30 POINTS!

2 answers:

8 0

The vertex for f(x)=(x+1)^2-2 would represent a minimum because the coefficient of the binomial (x+1) squared term is positive (understood to be in front of the parenthesis). Think about the Vertex From: y=a(x-h)^2+k where "a" is the coefficient of the binomial and(h, k) is the vertex. If "a" is positive the parabola opens up U (Making the vertex the lowest point of the graph). If "a" is negative the parabola opens down N (making the vertex the highest point of the graph)

Therefore:

The vertex of f(x) is a minimum because a=1.

The vertex of g(x) is a maximum because a=-1.

BartSMP [9]3 years ago

3 0

These equations are already in vertex form. So, we can easily find the vertex of each equation.

f(x) = -(x-1)^2 - 2

Vertex: (1,-2)

The vertex in this equation is the maximum because it faces down (a=-1).

g(x) = (x+2)^2 + 1

Vertex: (-2,1)

The vertex in this equation is the minimum because it faces up (a=1).

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What is the value of x in the equation ?2.5(6x-4)=10 4(1.5 0.5x)

MA_775_DIABLO [31]

2.5(6x−4)=(10)(4)(1.5)(0.5)x

(2.5)(6x)+(2.5)(−4)=(10)(4)(1.5)(0.5)x(Distribute)15x+−10=30x
15x−10=30x

15x−10−30x=30x−30x−15x−10=0

−15x−10+10=0+10−15x=10
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Answer:x=−23

3 0

3 years ago

A scale drawing of a rectangular park had a scale of 1 cm = 100 m.

Brilliant_brown [7]

Answer:

521,400 meters squared

Step-by-step explanation:

With the 1cm = 100m scale

6.6 cm = 660m

7.9 cm = 790m

Area = 660 x 790 = 521,400 meters squared

7 0

2 years ago

The common ratio in a geometric series is 0.50.50, point, 5 and the first term is 256256256.

V125BC [204]

Answer:

504

Step-by-step explanation:

I think the correct question is like:The common ratio in a geometric series is 0.50 ( point 5) and the first term is 256.

Find the sum of the first 6 terms in the series.

If it's right, then

Sₙ = (a₁ * (1 - rⁿ)) / (1 - r)

S₆ = (256 * ( 1 - 0.5⁶)) / (1 - 0.5) = (256 * 0.984375) / 0.5 = 504

6 0

2 years ago

Write an inequality to match each description. Use n for the variable.

mel-nik [20]

${\huge {\mathfrak {Answer :-}}}$

Let, the length be l and breadth be b.

So, 2(l + b) = 26

Or, l + b = 13

Or, l = 13 - b

So, we may write like this,

Area = l * b

Or, l * b > 30

Or, l (13 - l) > 30

Or, 13l - l^2 > 30

Or, l^2 - 13l + 30 > 0

Or, l^2 - 3l - 10l + 30 > 0

Or, l(l - 3) - 10(l - 3) > 0

Or, (l - 3)(l - 7) > 0

Or, l - 7 > 0

Or, l > 7.

Now, putting the value of l,

We get, l * b > 30

Or, 7 * b > 30

Or, b > 30/7

➡️ Therefore, we get,

Length > 7

Breadth > 30/7

That's it..

6 0

3 years ago

What does k equal if 485= 1/((k)(5.99x10^-3))

Verizon [17]

$k\ne 0$

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7 0

2 years ago