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krok68 [10]
2 years ago
9

Consider the given function.

Mathematics
1 answer:
Arturiano [62]2 years ago
8 0

Answer:


Step-by-step explanation:

To find the intercept with the x axis, we make h (x) = 0.

0 = (x + 1) ^ 2 - 4

0 = x ^ 2 + 2x + 1 -4

0 = x ^ 2 + 2x - 3

0 = (x +3) (x-1)

x = 1

x = -3

To find the intercept with the y axis, we make x = 0.

y = (0+1)^2 -4

y = -3

For a quadratic equation of the form ax ^2 + bx+ c

The vertex is calculated with the formula x = -b/2a

So:

x = -2/2(1)

x = -1

Finally the axis of symmetry of a quadratic function always passes through the vertex.

So:

x = -1

Below is a graph for this function, where you can see the cut points with the axes, the vertex and axis of symmetry


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Terry is buying water. He needs 22 liters. A half-liter of water costs $2.11. A 200 -milliliter container of water costs $1.01.
Dvinal [7]

Answer: Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.

Step-by-step explanation:

Terry is buying water and needs 22 liters. A half-liter of water costs $2.11. Using this information, 22 litres will cost:

= 22 ÷ 1/2 × 2.11

= 22 × 2 × 2.11

= $92.84

Also, A 200 -milliliter container of water costs $1.01. Using this information, 22 litres will cost:

= 22 × 1.01 ÷ 200/1000

= 22 × 1.01 × 1000/200

= 22 × 1.01 × 5

= $111.1

Based on this information, Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.

3 0
3 years ago
Please answer both I'm really struggling with my homework
Alex Ar [27]
1/64 & 16
hope that helped :)
4 0
3 years ago
Read 2 more answers
How do i solve this equation<br> -4p+9=-5
gregori [183]

Answer:

p = 7/2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

-4p + 9 = -5

<u>Step 2: Solve for </u><em><u>p</u></em>

  1. Subtract 9 on both sides:                     -4p = -14
  2. Divide -4 on both sides:                       p = 7/2

<u>Step 3: Check</u>

<em>Plug in p into the original equation to verify it's a solution.</em>

  1. Substitute in <em>p</em>:                    -4(7/2) + 9 = -5
  2. Multiply:                               -14 + 9 = -5
  3. Add:                                     -5 = -5

Here we see that -5 does indeed equal -5.

∴ p = 7/2 is the solution to the equation.

5 0
3 years ago
Read 2 more answers
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