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VARVARA [1.3K]
3 years ago
13

40 POINTS! Please HELP!!!Use the function f(x) to answer the questions:

Mathematics
2 answers:
Hitman42 [59]3 years ago
7 0
<h2>Answer:</h2>

<h2>Step-by-step explanation:</h2>

Eq.  5x^2 + 2x - 3

Part A:

1. Set the output value f(x)  (also known as "y" on a coordinate plane) = 0

2. 5x^2 + 2x - 3 = 0

3. Factor using "ac" method. (5 x 3 = 15, what factors of 15 when added/subtracted = 2?)

  • 5x^2 + 5x - 3x - 3 = 0
  • 5x(x + 1) - 3(x + 1) = 0
  • (5x - 3)(x + 1) = 0

4. Use zero property.

  • 5x - 3 = 0
  • 5x = 3
  • x = 3/5

         OR

  • x + 1 = 0
  • x = - 1

5. These are the x-intercepts: (3/5, 0) and (- 1, 0)

Part B:

Vertex Formula: x = -b/2a

In a quadratic equation the base equation (standard form) is ax^2 + bx + c, where a is a non-zero constant, and b and c are real numbers.

(eq. 5x^2 + 2x - 3)

-2/2(5) = -2/10 = - 1/5 --> x-coordinate

plug (- 1/5) in for x to get - 16/5 as the y-coordinate.

VERTEX: (-1/5, - 16/5) ; minimum because "a" value is positive

Hatshy [7]3 years ago
3 0

Answer:

Part A: (-1, 0), (0.6, 0)

Part B: Minimum, (-0.2, -3.2)

Part 2: We would find the 3 points: the 2 zeros and the vertex and we would be able to graph.

Step-by-step explanation:

Easiest and fastest way to answer these questions is to graph the equation in a graphing calc.

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At 7 PM last night the temperature was 10 F at 7 AM the next morning the temperature was negative 2F the temperature changed by
EastWind [94]
Between 7 pm and 7am 12 hours passed. The temperature changed a total of 12 degrees.  12 degrees/ 12 hours gives you the answer of 1 degree F per hour. 

Hope this helps!
7 0
3 years ago
Karen and Maria each open a savings account at the same time. They only make deposits into their accounts and do not make withdr
lina2011 [118]

The amount in Maria's account is $79.

The amount in Karen's account is $73.

<u>Step-by-step explanation:</u>

Karen deposits $28 into her account and she deposits $5 each week into her account.

From this given information, the equation can be framed as y = 28+5x ----(1)

where,

  • y is the total amount deposited.
  • x is the number of weeks the particular amount is deposited.

The equation for Maria's account is given as y = 7+8x ------(2)

<u>To find the no.of weeks at which they both have same amount of money :</u>

Equating the equations (1) and (2),

⇒ 28 + 5x = 7 + 8x

⇒ 28-7 = 8x-5x

⇒ 21 = 3x

⇒ x = 21/3

⇒ x = 7 weeks

After 7 weeks, the money in the account of Karen & Maria will be same.

<u>To find the amount of money in each girl's account after 2 weeks :</u>

It is given that, you have to calculate amount of money that each girl has in her account 2 weeks after they have the same amount of money in their accounts.

We already know that, it takes 7 weeks for them to have same amount.

So, 7 weeks + 2 weeks = 9 weeks

You have to calculate the amount in each girl's account after 9 weeks.

<u>Karen's account :</u>

Substitute x=9 in eq(1),

⇒ y = 28+5(9)

⇒ y = 28+45

⇒ y = 73

The amount in Karen's account is $73.

<u>Maria's account :</u>

Substitute x=9 in eq(1),

⇒ y = 7+8(9)

⇒ y = 7+72

⇒ y = 79

The amount in Maria's account is $79.

4 0
3 years ago
Please help me with this pleaseee
torisob [31]

Answer:

x = 88.2

Step-by-step explanation:

The angle at the top of the triangle = 90° - 10° = 80°

and the left side of the triangle is x ( opposite sides of a rectangle )

Using the tangent ratio in the right triangle

tan80° = \frac{opposite}{adjacent} = \frac{500}{x}

Multiply both sides by x

x × tan80° = 500 ( divide both sides by tan80° )

x = \frac{500}{tan80} ≈ 88.2

5 0
3 years ago
Cool Scoops ice cream shop offers 42 different one-topping sundaes. If there are 7 flavors of ice cream, how many toppings are t
Maksim231197 [3]
I believe its A.6
42/7=6
Hope this helps☺
6 0
3 years ago
Which best describes the graph of g(x) = 1/9 sq x<br> PICTURE DOWN BELOW
Alexus [3.1K]

Answer:

A) The graph of g(x) is shrunk vertically by a factor of 1/9

Step-by-step explanation:

The given graph g(x) = 1/9√x

f(x) = √x

The altitude of g(x) = 1/9

The altitude of f(X) = 1

When comparing the graph of g(x) with f(x), the graph of g(x) shrunk by 1/9 because of the altitude.

Here with I have attached the graph.

Therefore, answer: A) The graph of g(x) is shrunk vertically by a factor of 1/9

Thank you.

8 0
3 years ago
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