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3 years ago

1. If g(x)= 4(3)* then g(-2)= ? Help please

Mathematics

1 answer:

Yuki888 [10]3 years ago

8 0

Answer:

-8

Step-by-step explanation:

Assuming that the in parentheses is what we are supposed to change (3)..We would replace the three with the negative two this means that we will solve for four times -2 which equals -8.Hope this helps!

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Put the quadratic into vertex form and state the coordinates of the vertex. y= y= \,\,x^2-6x-3 x 2 −6x−3

enot [183]

Answer:

$y = (x - 3)^2 - 12$

$(3,-12)$

Step-by-step explanation:

Given

$y = x^2 - 6x - 3$

Solving (a): In vertex form

The vertex form of an equation is:

$y = a(x - h)^2 + k$

To do this, we make use of completing the square method.

We have:

$y = x^2 - 6x - 3$

------------------------------------------------------------------

Take the coefficient of x (i.e. -6)

Divide by 2; -6/2 = -3

Square it: (-3)^2 = 9

Add and subtract the result to the equation

------------------------------------------------------------------

$y = x^2 - 6x - 3$

$y = x^2 - 6x + 9 - 9 - 3$

$y = x^2 - 6x + 9 - 12$

Factorize $x^2 - 6x + 9$

$y = x^2 - 3x-3x + 9 - 12$

$y = x(x - 3)-3(x - 3) - 12$

Factor out x - 3

$y = (x - 3)(x - 3) - 12$

Express as squares

$y = (x - 3)^2 - 12$

Hence, the vertex form of $y = x^2 - 6x - 3$ is: $y = (x - 3)^2 - 12$

Solving (b): State the coordinates of the vertex.

In $y = a(x - h)^2 + k$ ; the vertex is: (h,k)

The vertex of $y = (x - 3)^2 - 12$ will be $(3,-12)$

3 0

2 years ago

the area of the green square is 21% greater than the area of the yellow square l. workout the ratio a:b

gogolik [260]

Answer:

11:10

Step-by-step explanation:

Let area of yellow square be x

Area of green square=x+0.21*x=1.21*x

Ration of side=(1.21x)^(1/2)/(x)^(1/2)=1.1=11/10.

Answered by Gauthmath

3 0

3 years ago

sam cut a pie into equal slices.There are only three slices left.The angle measure for the three slices is 72 degrees.how many s

mars1129 [50]

Answer:

Sam sliced the pie into 15 equal slices

Step-by-step explanation:

Given : Sam cut a pie into equal slices.There are only three slices left.The angle measure for the three slices is 72 degrees.

We have to determine the number of slices that the Sam cuts.

Sam cuts a pie and pie is in shape of circle therefore total angle measure is 360°.

Since, Given the angle measure for the three slices is 72 degrees.

So, The angle measure for the one slices is $\frac{72}{3}=24$ degrees.

Since, Pie is cut into equal slices.

So, measure of each slice must be equal.

So let he cut x slices of pie of 24°

So , total measure of x slices must be equal to 360°

24 · x = 360

x = 15

Thus, Sam sliced the pie into 15 equal slices

7 0

2 years ago

Read 2 more answers

a 5 inch tall bamboo shoot doubles in height every 3 days. if the equation, y=ab^x where x is the number of doubling periods, re

Lemur [1.5K]

X-doubling periods
Y-height of bamboo
Y=ab^x

1) make a table of values
X Y
1 5
2 10
3 20

2) write equations and substitute
5=ab^1 —> a=5/b^1 —> a=5/b
10=ab^2

Substitute into second equation

10=(5/b)*b^2
10=5b^2/b
10=5b
b=2

Substitute back in

b=2
10=a*2^2
10=4a
a=5/2

End equation:
Y=5/2*2^x

3 0

3 years ago

Point E is the midpoint of AB and point F is the midpoint of CD .

Gwar [14]

Answer:

# AB is bisected by CD

# AE = 1/2 AB

# CE + EF = FD

Step-by-step explanation:

* Lets talk about the mid point

- The mid-point of a segment is divided the segment into two

equal parts

- The figure has line segment AB

- E is the mid-point of AB

∴ E divides the line segment AB into two equal parts

∴ AE = EB

∴ AE = 1/2 AB ⇒ (1)

- Any line passes through the point E will bisects the line segment AB

∴ AB is bisected by CD ⇒ (2)

∵ F is the mid-point of CD

∴ F divides the line segment CD into two equal parts

∴ CF = FD

∵ Point E lies on CF

∴ CE + EF = CF

∵ CF = FD

∴ CE + EF = FD ⇒ (3)

* There are three statements must be true (1) , (2) , (3)

# AB is bisected by CD

# AE = 1/2 AB

# CE + EF = FD

6 0

3 years ago

Read 2 more answers