pls help me thank you!!

Answer:

D) The vertex of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex]. The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].

Step-by-step explanation:

Let [tex]A(x,y) = (0,0)[/tex] and [tex]V(x,y) = (-3, -6)[/tex] (vertex).

If we know that [tex]x = 0[/tex], [tex]y = 0[/tex], [tex]h = -3[/tex] and [tex]k = -6[/tex], then the standard equation results in:

[tex]a\cdot (0+3)^{2}-6 = 0[/tex]

And the value of [tex]a[/tex] is:

[tex]9\cdot a - 6 = 0[/tex]

[tex]a = \frac{2}{3}[/tex]

And the vertex form of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex].

Lastly, the standard form of the equation is found by algebraic means:

[tex]f(x) = \frac{2}{3}\cdot (x^{2}+6\cdot x +9)-6[/tex]

[tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex]

The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].  

In consequence, the right answer is D.

Answer:

the answer should be 8

Step-by-step explanation:

8-5=3

3/3=1

Answer:

yes

Step-by-step explanation:

Answer: x=16

Step-by-step explanation:

shown in screenshot below

Answer: (A) [tex]A=300l-l^{2}[/tex]

               (B) Length varies between 1 and 150

               (C) Largest area is 22500ft²

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

[tex]2l+2w=600[/tex]

Area of a rectangle is calculated as

[tex]A=lw[/tex]

Now, we have a system of equations:

[tex]2l+2w=600[/tex]

[tex]A=lw[/tex]

Isolate w, so we have l:

[tex]2w=600-2l[/tex]

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) Function of area in terms of length is given by A = 300l - l²

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

A' = 300 - 2l

Find the values of l when A'=0:

300 - 2l = 0

2l = 300

l = 150

Replace l in the equation:

w = 300 - 150

w = 150

Now, calculate the largest area:

A = 150*150

A = 22500

The largest area the fence can enclose is 22500ft².

Answer:  20/3 * $10.50 = &73.5

.

Step-by-step explanation:

Answer:

73.5$

Step-by-step explanation:

21/7=3 so 10.50*7 will give the budget

Answer:

7

Step-by-step explanation:

32 servings mean two 16 servings. 3.5 times 2 is 7.

Answer:

32/16=2 so you have to multiply the entire recipe by 2.

so 3 1/2 x 2 = 7 cups of sugar

9514 1404 393

Explanation:

1. Consider the attachment. Angle CDF is a circumscribed angle. It is formed at the intersection of two tangents to the circle. Angles BCE, CBE, and BEC are inscribed angles. Their vertices are on the circle, and they are formed by two chords.

If a chord degenerates to zero length, the ray it represents with respect to an inscribed angle becomes a tangent. That is, angles BCD and ECD can also be considered to be inscribed angles. Similarly, straight angle DFG at tangent point F can be considered to be a degenerate case of both an inscribed angle and a circumscribed angle. (Some authors may not include degenerate cases in their definitions. YMMV)

__

2. The general form of the equation of a circle is ...

  Ax² +Ay² +Dx +Ey +F = 0

Any equation of a circle can be put in this form. If we divide by A, this can be written as ...

  x² +y² -2hx -2ky +c = 0 . . . . where h = -D/(2A), k = -E/(2A), c = F/A

and the equation can be further transformed to the standard form ...

  (x -h)² +(y -k)² = r² . . . . . where r² = h² +k² -c

The last equation is the result of "completing the square" by adding h² and k² to both sides of the second equation shown. The values of h and k are as shown above, given the coefficients of the general form equation.

__

3. Again refer to the attached diagram.

a) a radius is a line segment with the circle center at one end and a point on the circle at the other end. AB and AC are radii.

b) A diameter is a line segment whose ends are on the circle and whose midpoint is the center of the circle. BC is a diameter.

c) A chord is a line segment whose end points lie on the circle. BC, BE, and CE are chords.

d) A secant is a line containing two points of the circle. Lines CG and CE are secants.

e) A tangent is a degenerate case of a secant in which the two points of intersection merge to one point of intersection. It is a line that touches the circle at exactly one point, the point of tangency. DG and DC are tangents.

f) The point of tangency is the single point where a tangent intersects a circle. A radius to the point of tangency (such as AC) is always perpendicular to the tangent line (DC).

Answer:

Step-by-step explanation:

Out of the whole class, if 35% of students voted for Leandro voted for Leonardo , this means that 64% of the class voted for Gerardo.

Let the total number of people in the class be x;

If 70 students voted for Leandro, then;

35% of x = 70

0.35x = 70

x = 70/0.35

x = 200

The total number of people that voted for Gerardo will be 200 - 70 = 130

Hence 130 voted for Gerardo

Answer:

The answer is x=2. I hope that this helps.

Step-by-step explanation:

Answer:

If you're solving for x it should be x <= 2

Step-by-step explanation:

10 + 5x <= 20 -- isolate variable (subtract 10 from both sides)

-10            -10

5x <= 10          -- single out the x (divide both sides by 5)

/5       /5

x <= 2

Hope this helps :)

See attachment for math work.

We must reject x = -3 because distance is positive.

The value of x is 3.

Chord = 2x

Chord = 2(3)

Chord = 6 cm

Answer:

2/5+1/3

6/15+5/15=11/15

It’s 11/15 miles

Step-by-step explanation:

Answer:

25+13=38

Step-by-step explanation:

because it's 25 miles to the mailbox and 13 miles from the mail box to the bust stop do you just add

Answer: 45% were completely satisfied with the car.

Step-by-step explanation: You have to divide 1080 by 2400 and then change the deciman into a percentage.

Answer:

b

Step-by-step explanation:

the answer to 7/8 is 0.875 it is not recurring as it has no dot at the top

Answer:

Interest = $1.75

Step-by-step explanation:

Maria invest $600, and receives interest of $30 per year

We know that PRT/100= INTEREST

R=( 100*INTEREST)/(PT)

R = (100*30)/(600*1)

R= 3000/600

R= 5%

Jane invest $350 at Sam rate with Maria , that is 5% , for a year, her interest

Interest= 350*5*1/100

Interest = $1.75

Answer:

There is no solution for this equation

Step-by-step explanation:

2s+3+s=3s-2

We move all terms to the left:

2s+3+s-(3s-2)=0

We add all the numbers together, and all the variables

3s-(3s-2)+3=0

We get rid of parentheses

3s-3s+2+3=0

We add all the numbers together, and all the variables

5!=0

There is no solution for this equation

Answer:

(1, -2)

Step-by-step explanation:

There are two ways:

1. You can find the answe by looking at where the lines intercept

2. Plug in each answer into the locations they're supposed to be in, for example, (1, 2) x=1 and y=2, and if the end result it 0=0 its correct.

Hope that helped!

Answer:

The star

Step-by-step explanation:

It's the. star because the others are the same shape just put at a different angel. But the star is a completly different shape. hope this helped :)

Answer:

Multiply 5 and 3 to get 15

15B4c

Answer:

1.) $250

2.) x= 50c + 200

Step-by-step explanation:

Explanation: I would substitute 2 into x which would be y = 2(2) + 3. I would then multiply 2 and 2 which would give me 4 and then add 3 which I get 7. This means that (2,5) is not a solution to the equation.

The answer is c because it makes sense that it would be months.

Answer:

is A because basically in my EXAM is just have the first option

Answer:

98% of 50 is 49. 100% of 50 is 50, therefore 98 percent of 50 equals 49.

Step-by-step explanation:

Multiplying both sides by 100 and dividing both sides by 98,

we have x = 49 ×  

100 /98                           X=50

Answer:

2/10 (4/5)-(5/2)+ (10)=7.66

Answer:

[tex]\frac{383}{50} = 7.66[/tex]

Step-by-step explanation:

[tex]\frac{2}{10}(\frac{4}{5})-(\frac{5}{2})+10[/tex]

[tex]= \frac{4}{25} -\frac{5}{2}+10[/tex]

[tex]=\frac{383}{50} = 7.66[/tex]

Answer:

5 blue circles are equivalent to the orange square

Step-by-step explanation:

If you take away 2 blue circles from each side so that the orange square is by it's self, and the equation stays balanced, you will be left with 5 blue circles on the side without the orange square.

Answer:

5

Step-by-step explanation:

There are a total of 7 blue circles on the right side and 2 on the left.

You also know that both sides are equivalent.

You can assume that the all the blue circles have the same weight

If you subtract the only blue circles from the left from the 7 blue circles on the right you get

1 orange square on the left and 5 blue circles on the right.

Answer:

yes it is

Step-by-step explanation:

Answer:

x = √30 or -√30

Step-by-step explanation:

480 - 16x^2 = 0

divide both sides by 16

30 - x^2 = 0

-x^2 + 30 = 0

-x^2 = -30

X^2 = 30

x = ± √30

x = √30 or -√30

Answer:

5.3 cups of flour

Step-by-step explanation:

8.5 - 3.2 = 5.3 cups of flour

Answer:25

Step-by-step explanation: