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solmaris [256]
3 years ago
9

When the function below is graphed, how many x-intercepts does it have?y = 4x2 - 12x + 9?

Mathematics
2 answers:
ohaa [14]3 years ago
8 0

It is 1 if using apex

Sladkaya [172]3 years ago
7 0
Only x-intercept because if you want to know about x-intercepts so y will be zero (y=0)
then 0 =4x^2 -12x + 9
0=(2x-3)(2x-3)
0=2x-3
so x=3/2 that is x-intercept
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Geometric mean definition
nikdorinn [45]

The central number in a geometric progression which indicates the central tendency or typical value of a set of numbers by using the product of their values as opposed to the arithmetic mean which uses their sum.

5 0
3 years ago
Billy wants to live in the area defined by y < 3x − 6. Explain how you can identify the houses in which Billy is interested i
Nadusha1986 [10]
Check the picture below.

to graph an inequality, you pretty much first off, need to graph the "equality" or equation, so for y < 3x − 6, first off, graph the line <span>y = 3x − 6.

and then you do a "true" or "false" check.

now, if you look at the line below, it splits the grid in two sections, so, let's check a point in either section, if one is false, the other is true and the other way around.

so, let's check the region on the left-hand-side, hmmmm say point 0,0, the origin.

y < 3x - 6

y = 0,  x = 0  thus

0 < 3(0) - 6

0 < -6   <--- now, is that really true? is 0 lesser than -6? not quite, is false.

recall that on the negative side, the closer to 0, the larger the value, so -1 is much larger than -1,000,000.

because the point 0,0 yielded a false inequality, that region is the "false region" and thus not shaded, therefore, the other side must be the "true region", and thus we shade that then.

we can run a quick check on that btw, say on point 4,4

y =4,   x = 4  thus

4 < 3(4) - 6

4 < 12 - 6

4 < 8    <---- yeap, is true, 4 is lesser/smaller than 8.

hmm ohh yes, the line needs to be dashed for a < or >, because it "has that boundary but it does not include it", unlike </span>⩽ and ⩾, which is a solid line, because it has that boundary and it includes it too.

3 0
3 years ago
8) What is the difference of 2x2 - 4x + 6 and<br> 5x2 + 8x - 2?<br> I will mark brainlist
MariettaO [177]

Answer:

-3x² - 12x + 8

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<u> </u>

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

2x² - 4x + 6 - (5x² + 8x - 2)

<u>Step 2: Simplify</u>

  1. (Parenthesis) Distribute negative:                                                                   2x² - 4x + 6 - 5x² - 8x + 2
  2. Combine like terms:                                                                                         -3x² - 12x + 8
3 0
3 years ago
A chocolate manufacturing company produces two types of chocolate: A and B. Ingredients required for manufacturing the products
Karolina [17]

Answer:

The maximum profit is when they make 10 units of A and 2 units of B.

Step-by-step explanation:

Let x is units of milk

Let y units of cacao

Given that :

The company's production plant has a total of 22 units of milk and 46 units of cacao available.

2x + y ≤ 22 (2 unit of milk for each of A and 1 for B; 22 units available)

4x + 3y ≤46 (4 unit of milk for each of A and 3 for B; 46 units available

Graph the constraint equations and find the point of intersection to determine the feasibility region.

The intersection point (algebraically, or from the graph) is (10, 2)

The objective function for the problem is the total profit, which is $6.2 per unit for A and $4.2 per unit for B: 6.2x + 4.2y.

Hence, we substitute (10, 2)  into the above function:

6.2*10 + 4.2*2 = 70.4

The maximum profit is when they make 10 units of A and 2 units of B.

3 0
3 years ago
The admission fee to a state fair is $8.00. Each ride costs an additional $4.00.
Lesechka [4]

Answer:

B

Step-by-step explanation:

$ 8 flat fee, $ 4 per rides (x)

8+4x has to be either equal to or less than $30, Karen cannot owe money.

B. 4x+8 <= 30

5 0
2 years ago
Read 2 more answers
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