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3 years ago

Which graph represents the solution set for -X2 + 8x - 12 > 0?

Mathematics

2 answers:

yarga [219]3 years ago

5 0

Answer:

Step-by-step explanation:

nordsb [41]3 years ago

3 0

Answer:
Here is how it should be graphed.

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Use special right triangles to solve for the exact value of x. 4 16 9

maks197457 [2]

CHECK THE ATTACHMENT FOR THE FIGURE OF THE QUESTIONS

Answer:

Option A. is correct x = 4

Step-by-step explanation:

From the given figure

The adjacent of the given right angle triangle is

8 units which is the base,

Then x units is the opposite of the right angle triangle which is the height.

The hypotenuse side also has x units

Then value of x is required,

But going by right angle triangle trigonometry

cos(x) = adjacent / hypotenuse

Where adjacent= 8 unit

cos( 60) = 8/x

1/2 = 8/x

x = 8/2

= 4unit

Hence, Option A is correct, with 4 units

6 0

3 years ago

petra wants to buy a skateboard. the skateboard deck usually costs $37.50, but it is on sale for 20% off.part of the sales tax r

Svetach [21]

$31.56
37.50-20%=30
30+5.2%=31.56

5 0

3 years ago

Pleasee helpppp!!!!

Shalnov [3]

Answer:39 years ago

Step-by-step explanation:The difference between his age and his sister's is 4.So when he was 8 she 4.So you do 47-8 which is 39.

4 0

3 years ago

The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that

Mariulka [41]

Answer: a. 0.05

b. 0.40

c. 0.85

Step-by-step explanation:

Let F= Event that a certain motorist must stop at the first signal.

S = Event that a certain motorist must stop at the second signal.

As per given,

P(F) = 0.45 , P(S) = 0.5 and P(F or S) = 0.9

a. Using general probability formula:

P(F and S) =P(F) + P(S)- P(F or S)

= 0.45+0.5-0.9

= 0.05

∴ the probability that he must stop at both signals = 0.05

b. Required probability = P(F but (not s)) = P(F) - P(F and S)

= 0.45-0.05= 0.40

∴ the probability that he must stop at the first signal but not at the second one =0.40

c. Required probability = P(exactly one)= P(F or S) - P(F and S)

= 0.9-0.05

= 0.85

∴ the probability that he must stop at exactly one signal = 0.85

7 0

3 years ago

On Tuesday, Hayley only has 15 cups of flour and 9 eggs, but she has more than enough butter and sugar. Which system of linear i

BabaBlast [244]

Missing part of the question

Hayley bakes zucchini bread and banana bread. Some ingredients Hayley uses for each type of bread are shown in the tables

Zucchini Bread

2 eggs 2 cups of flour 1.5 cups of sugar 0.5 stick of butter

Banana Bread

1 egg 3 cups of flour 2 cups of sugar 0.25 stick of butter

Answer:

$2z + b \le 9$

$2z + 3b \le 15$

Step-by-step explanation:

Given

$Flour = 15$

$Egg =9$

Since there are enough of other ingredients, we will only consider the amount of eggs and cups of flour.

So, we have:

Zucchini Bread

$Egg = 2$

$Flour = 2$

Banana Bread

$Egg = 1$

$Flour = 3$

For the eggs

The ratio of eggs to use in the Zucchini bread to Banana bread is:

$Egg = 2$ (z) : $Egg = 1$ (b)

This gives:

$2z + 1b$

The total number of eggs cannot exceed 9.

So, the inequality is:

$2z + 1b \le 9$

$2z + b \le 9$

For the flours

The ratio of flours to use in the Zucchini bread to Banana bread is:

$Flour = 2$ (z) : $Flour = 3$ (b)

This gives:

$2z + 3b$

The total cups of flours cannot exceed 15.

So, the inequality is:

$2z + 3b \le 15$

Hence:

The system of inequalities is:

$2z + b \le 9$

$2z + 3b \le 15$

7 0

3 years ago