Plsssss Help!!!
Determine whether each statement is true or false given the linear functions modeled by table A table and table B.

9514 1404 393

Answer:

  3 (7e)  f(x) = -3(x +2)^2 +1; D: (-∞, ∞); R: (-∞, 1]

  4 (8)  g(x) = 4(x -3)^2 -5; x = 3; (3, -5); min: -5; D: (-∞, ∞); R: [-5, ∞)

  5 (10)  A(175) = 31,250 m^2

Step-by-step explanation:

Q3. (7e) f(x) = -3x^2 -12x -11 = -3(x^2 +4x) -11 = -3(x^2 +4x +4) -11 +3(4)

  f(x) = -3(x +2)^2 +1

Domain: all real numbers; Range: y ≤ 1

Expanded: -3(x^2 +4x +4) +1 = -3x^2 -12x -11

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Q4. (8a) g(x) = 4(x^2 -6x) +31 = 4(x^2 -6x +9) +31 -4(9)

  g(x) = 4(x -3)^2 -5

8b) x = 3 . . . axis of symmetry

8c) (3, -5) . . . coordinates of vertex

8d) minimum: -5 (parabola opens upward from vertex, which is the minimum)

8e) any quadratic has a domain of "all real numbers"

8f) the range is upward from the minimum: y ≥ -5

8g) see attached

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Q5. (10) A(x) = 700x -2x^2 = -2(x^2 -350x +30625) +2(30625)

  A(x) = -2(x -175)^2 +31,250

The maximum area that can be enclosed is 31,250 square meters.

_____

Additional comment

The process of "completing the square" can be done using the following steps. (a) Factor out the leading coefficient from the variable terms; (b) determine the linear term coefficient inside parentheses, and add the square of half of it inside parentheses; (c) add the opposite of the same quantity outside parentheses (make sure the leading coefficient is properly factored in; (d) rewrite the parentheses as a square, and collect terms outside parentheses. In the final form a(x -h)^2 +k, the vertex is (h, k).

Step-by-step explanation:

[tex] \sqrt{(3 - ( - 4))^{2} + ( - 7 - 6)^{2} } \\ = \sqrt{(3 + 4)^{2} + {( - 13)}^{2} } \\ = \sqrt{ 49 + 169} \\ = \sqrt{218} \\ = 14.7648[/tex]

Answer:

10/16

Step-by-step explanation:

I looked at the 5 and looked at every other number and you can't multiply evenly with those other numbers. You can only do 5x2 which will get you ten. But that won't work for the other numbers.

Hope this helps :)

Answer:

Option B is the correct option.

Step-by-step explanation:

Given the expression

[tex]\frac{\sqrt[3]{x^5}}{\sqrt[3]{x^7}}[/tex]

Apply radical rule:

[tex]\frac{\sqrt[n]{a}}{\sqrt[n]{b}}=\sqrt[n]{\frac{a}{b}}[/tex]

so

[tex]\frac{\sqrt[3]{x^5}}{\sqrt[3]{x^7}}=\sqrt[3]{\frac{x^5}{x^7}}[/tex]

Apply radical rule:

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

so

   [tex]=\sqrt[3]{\frac{1}{x^2}}[/tex]         ∵  [tex]\frac{x^5}{x^7}=x^{5-7}[/tex]

   [tex]=\frac{1}{x^{\frac{2}{3}}}[/tex]

Therefore, option B is the correct option.

Answer:

100 dollors

Step-by-step explanation:

The total profit for selling 120 lunches is $310

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, The graph shows a school's profit P for selling x lunches on one day.

Considering two points (50, 0) and (0, -150) we will find the equation of the line,

The equation of a line passing through two points is given by =

y-y₁ = (y₂-y₁) / (x₂-x₁) × (x-x₁)

y-0 = -150 / -50 (x-50)

y = 3x - 150

Here, y is the total profit and x is the number of lunches,

When x = 120

y = 3(120)-50

y = 360-50

y = 310

Hence, the total profit for selling 120 lunches is $310

Learn more about equations, click;

https://brainly.com/question/29657983

#SPJ2

Answer:

Step-by-step explanation:

[tex]\frac{7}{13}[/tex]-Female

[tex]\frac{2}{3}[/tex]- Men Married.

[tex]\frac{7}{13} divided by \frac{2}{3} = \frac{7}{13} x\frac{3}{2} = \frac{21}{6} = 3\frac{2}{6} = 3\frac{1}{3}[/tex]

Hope this helps :)

Answer:

A sphere

Step-by-step explanation:

It's basically a ball, so it has no vertices.

Answer:

Step-by-step explanation:

i got it correct:)

Answer:

Other guy is correct

Step-by-step explanation:

Power of a product: When a product is raised to a power, each factor is raised to the power separately.

Power of a power: When an exponential expression is raised to a power, multiply the exponents.

Product of powers: When two exponential expressions with the same base are multiplied, add the exponents.

Quotient of powers: When two exponential expressions with the same base are divided, subtract the exponents.

Power of a quotient: When a quotient is raised to a power, raise the dividend and the divisor to the power separately.

Answer:

x = 3 and y = 5

Step-by-step explanation:

y = x+2

3x+2(x+2)=19

3x+2x+4=19

5x+4=19

    -4   -4

5x=15

x=3

y=x+2

y=(3)+2

y=5

Answer:

x=3 and y=5

Step-by-step explanation:

The answer is C, 510.

Answer: The answer is 25.

Step-by-step explanation:

1,250+125= 1,375

1375×3=4125

5325-4125=1200

They can afford to play the new employee $1200

Answer:

Y=-3

Step-by-step explanation:

No because 0.4+0.15+0.06+0.14+0.25=1 and you cant get probability over 1

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x−5=2−4x(x−1)

Step 1: Simplify both sides of the equation.

−2x−5=−4x^2+4x+2

Step 2: Subtract -4x^2+4x+2 from both sides.

−2x−5−(−4x^2+4x+2)=−4x^2+4x+2−(−4x^2+4x+2)

4x^2−6x−7=0

For this equation: a=4, b=-6, c=-7

4x^2+−6x+−7=0

Step 3: Use quadratic formula with a=4, b=-6, c=-7.

x=−b±√b2−4ac/2a

x=−(−6)±√(−6)2−4(4)(−7)/2(4)

x=6±√148/8

Answer:

12x^8y^8

Step-by-step explanation:

taking numbers in one side and multiplying and taking the variables in other sides and adding the power

Answer:

A. -3.5, 0.5

Step-by-step explanation:

This is because the coordinates are saying they are located on quadrant ll so the x coordinate has to be a negative and the y coordinate has to be positive

Answer:

b=0

Step-by-step explanation:

Step 1: 11b + 12 =12

                 -12    -12

Step 2:  11b = 0

          11b/11   0/11

Result:  b=0

Hope it helps!!

Answer:

Step-by-step explanation:

Sally will clean in one hour

2/5*3=6/5=1 1/5 houses in one hour

Answer:

50%

Step-by-step explanation:

Sense there are 4 popsicles in all, and 2 are cherry, there would be 2/4 cherry popsicles, which is 1/2 or 50%

Hope my explanation makes sense :)

Answer:

-7 6/14, 1 3/11, 1 3/10, 5 3/10, 6 3/10

Answer:

xy+12x+2y

Step-by-step explanation:

thats all you can do to this

Answer:

-1/2 x 3 = -3/2

-1/2 x - 2/5 = 2/10 = 1/5

Answer = The second one: -3/2 + 1/5

Step-by-step explanation:

Answer:

try:

Step-by-step explanation:

39 56 4

Answer:

3.3$ tip

Step-by-step explanation:

Answer:

3x-2y=9 and x-y=5 *

0x0.3

Step-by-step explanation:

Answer:

3x-2y=9 and x-y=5

Step-by-step explanation:

Answer:

$424

Step-by-step explanation:

You take the total times the sales tax to find out how much the tax is. Then you add it to the total for the final answer.

400*.06=24

400+24=424

Answer:

425

Step-by-step explanation:

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