Which is the graph of f(x) = 4[1/2]x ?

Answer:

x = -0.2 and x = -3.5

Step-by-step explanation:

Combine like terms in the given equation, by subtracting 2x^2 from both sides:

6x^2 + 15x + 3 = 2x^2

-2x^2                = -2x^2

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

4x^2 + 15x + 3 = 0

This is a quadratic equation.  We'll find the two solutions using the quadratic equation

      -b ± √(b^2 - 4ac)

x = ---------------------------

                  2a

Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.

Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177

and from that we know we'll find two real, unequal roots.

                                -15 ± √177

The roots are:  x = ------------------- , or x = -0.2 and x = -3.5

                                         8

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Answer:

x + y = 60

Step-by-step explanation:

[tex]2x + 2y + 60 = 180 \\ 2x + 2y = 180 - 60 \\ 2x + 2y = 120 \\ \frac{2x + 2y}{2} = \frac{120}{2} \\ x + y = 60 \\ [/tex]

Answer:

30/100

Step-by-step explanation:

30% as a fraction is 3/10; In simplest form is 30% = 30/100.

Answer:

b = - 1.09

Step-by-step explanation:

- 2.9 + b ÷ 0.1 = - 39.9

- 2.9 + b ÷ 0.1 × 0.1 = - 39.9 × 0.1

- 2.9 + b = - 3.99

- 2.9 + 2.9 + b = - 3.99 + 2.9

b = - 1.09

Answer:

Exact form

b=-37/10

Decimal form

b=-3.7

Mixed Number form

b+-3 7/10

Step-by-step explanation:

-2.9+b/1/10+-39.9

-2.9+10b+-39.9

10b=-39.9+2.9

10b=-37

b=-37/10

Answer:

Option (1)

Step-by-step explanation:

Area of the polygon = Area of CDE + Area of EFG + Area of ABCF

Area of triangle CDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                   = [tex]\frac{1}{2}(3)(2)[/tex]

                                   = 3 units²

Area of ΔCDE = [tex]\frac{1}{2}(5)(1)[/tex]

                       = 2.5 units²

Area of trapezoid ABCF = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

                                        = [tex]\frac{1}{2}(8+11)(4)[/tex]

                                         = 38 units²

Area of the given polygon = 3 + 2.5 + 38

                                            = 43.5 units²

Therefore, Option (1) will be the correct option.

Answer:

a23, a31, a21, a11, a12, a33

Step-by-step explanation: I got it right on Edumentum.

Answer:

a23, a31, a21, a11, a12, a33

Step-by-step explanation:

9514 1404 393

Answer:

  20 people

Step-by-step explanation:

Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...

  (1/5)·n = 4

The solution can be found by multiplying both sides of the equation by 5.

  5(1/5)n = 5(4)

  n = 20

20 people could be served.

The value of a₄ is -9

Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.

In this given problem

a₁ = 5

given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7

using this relation

take n=1

a₂ = 2a₁-7 =(2*5)-7=3

then by taking n=2

a₃ = 2a₂-7 =(2*3)-7=-1

then taking n=3

a₄= 2a₃-7 =(2*(-1))-7= -9

so the final answer will be a₄ = -9

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Answer:

Angle a = Angle D

Answer:

A: Angle A  Angle D

Step-by-step explanation:

Consider IJ and GL are the parallel sides of the trapezoid.

Given:

In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.

To find:

The length of the mid segment HK.

Solution:

The length of the mid segment of a trapezoid is:

[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]

where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.

HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:

[tex]HK=\dfrac{IJ+GL}{2}[/tex]

[tex]HK=\dfrac{7+15}{2}[/tex]

[tex]HK=\dfrac{22}{2}[/tex]

[tex]HK=11[/tex]

Therefore, the length of HK is 11 units.

Answer:

f(x) = (-1/2)(x^2 + 8x - 15)

Step-by-step explanation:

This function has two roots:  -3 and 5.  Most likely it is a quadratic (all of which have two roots).

Then f(x) = a(x + 3)(x - 5)

The graph goes through (1. 8):  Therefore, y = 8 when x = 1:

f(1) = a(1 + 3)(1 - 5) = 8, or

        a(4)(-4) = 8, or

            -16a = 8, which leads to a = -1/2.

Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or

                                                        f(x) = (-1/2)(x^2 + 8x - 15)

The function is a quadratic function given by f(x) = (-1/2)(x + 3)(x - 5) and f(x) = (-1/2)(x² + 8x - 15).

A function is a law that relates a dependent and an independent variable.

The function has x-intercepts at (-3,0) and (5,0),

The function  has two roots:  -3 and 5

So, the equation is a quadratic equation represented by

f(x) = a(x + 3)(x - 5)

The function goes through the point (1. 8)

y = 8 when x = 1

f(1) = a(1 + 3)(1 - 5) = 8

-16a = 8,

a = (-1/2)

f(x) = (-1/2)(x + 3)(x - 5)

f(x) = (-1/2)(x² + 8x - 15)

To know more about Function

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Answer:

There are 26 tickets left to be sold.

Step-by-step explanation:

Jason - 6 tickets

Heather - 6(3) = 18 tickets

6+18 = 24 tickets

50-24 = 26 tickets

Answer:

y = -½x + 4

Step-by-step explanation:

the line passes point of y-intercept (0, 4) ,

and another point (6, 1)

the slope = (1-4)/(6-0) = (-3)/6 = -½

so the Equation is y = -½x + 4

Answer:

What are we supposed to do on this

Step-by-step explanation:

Answer:   the dilated point will be 2 units at the right of P, and 3 units above P.

Step-by-step explanation:

Answer:

are u solving for  x  if so then

x=7

Step-by-step explanation:

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The answer is:

999^3 = 997002999

Answer:the answer is b

Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped

Answer:

here u go

Step-by-step explanation:

what i did was 15*7 which is 105

and then i did 105/2 which is 52.5 ft

Answer:

V = 1237 cubic feet

Step-by-step explanation:

V of cylinder = πr^2h

r = 7.5 ft (15/2)

h = 7 ft

v = ((7.5)^2)π*7 = 1237.002107 cubic feet

Answer:

yes this is true helpful answer

Answer:

Step-by-step explanation:

The given curve crosses the x-axis in two places, (-2, 0) and (0, 0), which are the zeros.  This parabolic curve opens up and has its vertex (minimum) at (-1, -1).

Answer: The graph has two zeros.

Step-by-step explanation:

The given graph is the graph of parabola open upward. In the graph of parabola, we will have two solutions since the highest degree of the function is 2.

y = ax^2 + bx + c, where a, b, c are real number and a ≠ 0.

You can see the height degree of the function is 2.

Therefore, there should be two zeros of the function.

According to the given graph of parabola has two zeros at x = -2 and x = 0.

The graph cross the x-axis at x = -2 and x = 0.

Hence, the graph has two zeros.

Answer is A. The graph has two zeros

Answer:

1.6.7*520=3484

Step-by-step explanation:

( I).67*0.52

convert that 0.52 to proper fraction

67×13/25=871/25

which is=34.84

(III). 3484/5.2

convert 5.2 to improper fraction ❤️

=52/10=26/5

3484/26/5=3484×5/26=670

Answer:

20%

Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.

sorry but can u show a picture of y?

Answer:

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Answer:

C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

<4 and <5 are alternate interior angles and alternate interior angles are equal when the lines are parallel

<4 = <5

7x+5 = 5x+27

Subtract 5x from each side

7x+5-5x = 5x+27-5x

2x+5 = 27

Subtract 5 from each side

2x+5-5=27-5

2x =22

Divide by 2

2x/2 =22/2

x =11

Answer:

I would answer but I have no numbers to give the answer

Answer:

Each shirt costs $18.50

Step-by-step explanation:

Questions such as these usually involve quite simple calculations, but they are important in being able to convert a scenario described in words into math calculations.

First, read the information carefully and then summarize what you are given in short sentences. Pat bought  6  shirts.  He paid using a check and cash.

The total amount paid was  $ 25  +  $ 86  =  $ 111

The shirts all cost the same price.

The cost of each shirt was:  111  ÷  6  =  $ 18.50

Answer:

Each shirt was 18.50

Step-by-step explanation:

The total cost of the 6 shirts was 25+86 = 111

Divide the total by 6 to find the cost of each shirt

111/6 =18.5

Each shirt was 18.50

Answer:

(-12x - 25) / (x + 3) (x - 5)

Step-by-step explanation:

1 - 2x/(x+3) + (x+3)/(x - 5)

= {(x + 3)(x - 5) - 2x(x - 5) + (x + 3)(x - 3)} / (x + 3) (x - 5)

= {(x² -5x + 3x - 16) - (2x² + 10x) + (x² - 3x + 3x - 9)} / (x + 3) (x - 5)

= x² - 2x - 16 - 2x² - 10x + x² - 9 / (x + 3) (x - 5)

= x² - 2x² + x² - 2x - 10x - 16 - 9 / (x + 3) (x - 5)

= (-12x - 25) / (x + 3) (x - 5)

Answer:

rhombus

Step-by-step explanation: