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3 years ago

Find all real solutions: x² - x - 12 = 0

1 answer:

8 0

Factor the equation. Remember the value should add to the b value and multiply to the c value.

x^2-x-12= 0
(x-4)(x+3)=0

Use the zero product property to find roots
x-4=0
x=4

x+3=0
x=-3

Final answer: x=-3, x=4

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mars1129 [50]

Answer:

23/1 or 23 is the area.

Step-by-step explanation:

in the photo below

8 0

3 years ago

9. On a game show, there are 16 questions: 8 easy, 5 medium-hard, and 3 hard. If contestants are given questions

just olya [345]

Answer:

$\frac{7}{30}\approx0.23$

Step-by-step explanation:

Given:

Number of questions (N) = 16

Number of easy questions (E) = 8

Number of medium-hard questions (M) = 5

Number of hard questions (H) = 3

Now, the probability of getting the first question as easy question is given as:

$P(E1)=\frac{\textrm{Number of easy questions}}{\textrm{Total questions}}\\\\P(E1)=\frac{E}{N}=\frac{8}{16}=0.5$

Now, probability of getting the second question as easy question is given as:

$P(E2)=\frac{\textrm{Number of easy questions left}}{\textrm{Total questions left}}\\\\P(E2)=\frac{E-1}{N-1}=\frac{7}{15}$

Now, probability that the first two contestants will get easy questions is given by the product of $P(E1)\ and\ P(E2)$ . So,

$P(2\ easy\ questions)=P(E1)\times P(E2)\\\\P(2\ easy\ questions)=\frac{1}{2}\times \frac{7}{15}\\\\P(2\ easy\ questions)=\frac{7}{30}\approx 0.23$

Therefore, the probability that the first two contestants will get easy questions is $\frac{7}{30}\approx0.23$

7 0

3 years ago

5. Calculate the area of the shaded region in the diagram if ABCD is a rectangle. 8 B 4 A 5 3 6 8 D 9 3 C

il63 [147K]

Answer: 61 unit^2

Step-by-step explanation:

ABCD is a rectangle with dimensions 12 by 11, for a total area of 132 (square units). Although I could determine the lengths of the parallel lines of the interior trapezoid from the data supplied, I'm lazy and decided, instead, to subtract from the total rectangle area the areas of the four right triangles formed outside the shaded area. The area of each triangle is (1/2)b*h, and we are given those dimensions on the figure.

The four triangle areas:

TriD = 36

TriA = 6

TriB = 20

TriC = 9

Total area = 71 square units.

Subtract this from the rectangle's area: 132 - 71 = 61 units^2

This is the area of the shaded trapezoid.

3 0

3 years ago

Four pairs of shoes cost $80 what is the cost of seven pairs of shoes

anzhelika [568]

80 divided by 4 is 20

$20 times 7 shoes is

$140

Hope this helps!

5 0

3 years ago

Read 2 more answers

What are some ways you can break apart 7x9 using distributive property

Tresset [83]

7+7+7+7+7+7+7+7+7=63 9+9+9+9+9+9+9=63 9×6=54 54+9=63

7 0

3 years ago

Read 2 more answers