Question 4
Write the unit rate rounded to the nearest hundredth (two decimal places).
Type the numerical answer only. Do NOT type any units, dollar signs, or spaces.
Six calculators cost $180. Determine the cost per calculator.

Answer:

2/4=4/8

Step-by-step explanation:

you do 2×2=4 and 4×2=8. You multiply both denominators by 2.

Answer:

Part A

The equation of the parabola in standard form is f(x) = 0.5·x² + x - 7.5

Part B

The equation of the parabola in factored form is f(x) = 0.5·(x + 5)·(x - 3)

Step-by-step explanation:

The coordinates of the vertex of the parabola, (h, k) = (-1, -8)

The zeros of the parabola = -5, 3

Part A

The quadratic equation representing the parabola can be written as follows;

y = a·(x - h)² + k

The standard form of the equation is f(x) = a·x² + b·x + c

k = c - b²/(4·a)

h = -b/(2·a)

c = k + a·h² = -8 + a

From the zeros of the parabola, we have;

f(-5) = a × (-5)² + b×(-5) + c = 25·a - 5·b + c = 0

f(3) = a × (3)² + b×(3) + c = 9·a + 3·b + c = 0

Therefore, we have;

25·a - 5·b + c = 0...(1)

9·a + 3·b + c = 0...(2)

From which we have;

25·a - 5·b + c = 25·a - 5·b - 8 + a = 26·a - 5·b - 8 = 0

9·a + 3·b + c = 9·a + 3·b - 8 + a = 10·a + 3·b - 8 = 0

We then have;

26·a - 5·b = 8...(3)

10·a + 3·b = 8...(4)

Making 'b', the subject of both equations (3) and (4), equating the values, we find the value of 'a' as follows;

From equation (3), we have;

26·a - 5·b = 8

∴ b = (26·a - 8)/5

From equation (4), we have;

10·a + 3·b = 8

∴ b = (8 - 10·a)/3

From b = b, by transitive property, we have;

(26·a - 8)/5 = (8 - 10·a)/3

3 × (26·a - 8) = 5 × (8 - 10·a)

78·a - 24 = 40 - 50·a

∴ 128·a = 64

a = 64/128 = 1/2 = 0.5

a = 0.5

∴ b = (26·a - 8)/5 = (26 × 0.5  - 8)/5 = (13 - 8)/5 = 1

b = 1

c = -8 + a

∴ c = -8 + 0.5 = -7.5

c = -7.5

The equation of the parabola in standard form is therefore presented as follows;

f(x) = 0.5·x² + x - 7.5

Part B

The equation of the parabola in factored form is given as follows;

With the aid of a graphing calculator, we have;

f(x) = 0.5·x² + x - 7.5 = 0.5×(x² + 2·x - 15) = 0.5·(x + 5)·(x - 3)

The equation of the parabola in factored form is f(x) = 0.5·(x + 5)·(x - 3)

Answer:

0.70p

Step-by-step explanation:

"30% off" means paying only 70% of the original sales price (subtracting 30% from 100% yields 70%).  Next, find the decimal equivalent of 70%:

It is 0.70.  Finally, multiply the price p by 0.70:  0.70p (Answer b)

Answer:

d

Step-by-step explanation:

what are the pair of solutions?

Answer:

320 i think lol

Step-by-step explanation:

Answer:

3.56

Step-by-step explanation:

Answer:

I think it is 73

Step-by-step explanation:

Because i tryed all of the other numbers and they didnt work

HOPE THIS HELP !!!!!!!!!!!!!!!! :)

Answer:

36 yards

Step-by-step explanation:

The triangle is a 3-4-5 right triangle with a scaling factor of 12. No complicated Pythagorean theorem has to be used in this case.

60/12 = 5

48/12 = 4

3 is the only base number remaining.

3(12) =36

Answer:

Richie should add the number 36 to both sides.

Step-by-step explanation:

To complete the square, you need to divide b by 2, square it, then add it to both sides. In this case, you'd do this:

12/2=6

6^2=36

Answer:

[tex]\sqrt{149}[/tex]

Step-by-step explanation:

The third side of a triangle can be any value in the range of -

1 ≤ a < 17.

Given are two sides of a triangle as b = 7m and c = 10m.

The sum of two sides of a triangle is always greater than the third side. Mathematically -

a < {b + c}

a < {7 + 10}

a < 17

a ∈ [1, 16]

Therefore, the third side of a triangle can be any value in the range of -

1 ≤ a < 17.

To solve more questions on triangles, visit the link below -

https://brainly.com/question/12538366

#SPJ2

Answer:

1.  1/2

2. 1/4

3. 1/4

Answer:

so you answered your own question?

Answer:

$8.75

Step-by-step explanation:

I HOPE THIS HELPS YOU OUT WITH YOUR QUESTION! PLZ LET ME KNOW IF IT DID! IT MAKES ME FEEL GOOD THAT SOMEONE APPRECIATES IT! ANYWAY, IF YOU HAVE A FEW MINUTES PLZ GOT TO MY PROFILE AND THANK MY ANSWERS (THE MORE THE MERRIER)

Answer:

[tex]x = 64 + 45 \\ x = 109[/tex]

Answer: The second one, 10 rolls for $12. 1.29 (Rounded)

Step-by-step explanation:

14/18 is 1.29 (Rounded)

10/12 is 1.20.

The unit rate is cheaper, therefore making it the better buy

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

You were correct.

Step-by-step explanation:

If the input to the function y = 4x - 3 is 2 Then

y = 4 * 2 - 3

= 8 - 3

= 5

Hope it helps :)

Answer:

72yd2

Step-by-step explanation:

making figure into 2

1st figure

= 6×5

= 30yd^2

2nd figure

= 14×3

= 42yd^2

Area of the full figure

= (30+42)yd^2

= 72yd^2

PLZZZ MARK ME AS BRAINLIEST:)

Answer:

i have no idea....

Step-by-step explanation:

but i hope someone helps :((  good luck:((

Answer:

x   |   y

-2  | -5

-1   | -3

0   |  -1

1    |   1

2   |  3

3   |  5

The pattern is as x increases by 1, y increases by 2.

Step-by-step explanation:

9514 1404 393

Answer:

  cannot form a triangle

Step-by-step explanation:

The triangle inequality requires the sum of the shorter sides exceed the longest one.

  9 + 29 > 38

  38 > 38 . . . . . . . . FALSE — not a triangle

Answer:

its B

Step-by-step explanation:

Answer:

247.728

Step-by-step explanation:

(3.97)(62.4)

=247.728

Answer:

do you need an equation? if so it would be 2x+40

Step-by-step explanation:

Answer:

I thinks its D.

Step-by-step explanation:

Answer:

1/2m - 4

Step-by-step explanation:

Answer:

Look at the graph bellow

Step-by-step explanation:

use the slope and y-intercept to graph.