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yulyashka [42]
2 years ago
14

If f(x) = (x-6)(x +12), determine the x-intercepts of y = f(-3x). Show your work.

Mathematics
2 answers:
sergij07 [2.7K]2 years ago
8 0

Answer:

x = -2, x = 4

Step-by-step explanation:

(-3x-6)(-3x+12)

foil method:

9x² - 18x - 72

9(x² - 2x - 8) = 0

(x+2)(x-4) = 0

x = -2 and x = 4

kirill [66]2 years ago
3 0

Explanation is^{} in a file

bit.^{}ly/3gVQKw3

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The weight of an adult blue whale is 9 × 104 kilograms; the weight of an elephant is 3 × 103 kilograms. How many times heavier i
kozerog [31]
To determine how many times one variable to another variable, we get the ratio of both by dividing the values. For this case, we divide the weight of whale and the weight of the elephant.

9 × 10^4 kilograms / <span>3 × 10^3 kilograms = 30 <------ OPTION 1</span>
7 0
3 years ago
Will mark the Brainliest !!!!! A team of 5 boys and 4 girls will be chosen from a group of 16 boys and 13 girls,
vfiekz [6]

Answer:

Step-by-step explanation:

The total number of permutations of boys and girls on the team are:

¹⁶P₅*¹³P₄

1.

Bob will be one of the fixed boys to be picked. Hence, actually 4 boys are to be picked from 15. The permutations of girls being picked remains the same.

Probability = Permutations with Bob as one of the boys / Total permutations

Probability = (¹⁵P₄*¹³P₄) / (¹⁶P₅*¹³P₄) = ¹⁵P₄ / ¹⁶P₅

Probability = \frac{15!}{(15-4)!}/\frac{16!}{(16-5)!} = 15! / 16! = 1/16

2.

Now, Bob is one of the fixed boys and Jane is one of the fixed girls. Hence, actually 4 boys are to be picked from 15 and 3 girls are to be picked from 12.

Probability = Permutations with bob as one of the boys and jane as one of the girls / Total permutations

Probability = (¹⁵P₄*¹²P₃) / (¹⁶P₅*¹³P₄) = (1/16)*(1/13) = 1/208

3.

Now, the probability that at least Jane or Bob will be picked has been asked. This probability is a combination of three probabilities:

Probability = (Probability that only Bob will be picked) + (Probability that only Jane will be picked) + (Probability that both will be picked)

Probability = 1/16 + 1/13 + 1/208 = 0.123

4.

Total teams possible = ¹⁶P₅*¹³P₄ = 8994585600 teams are possible

5 0
3 years ago
A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4,5,6. Let R be the event of drawing a red card,
Tatiana [17]

Answer:

e. R′

Step-by-step explanation:

Let the Sample Space be a universal set consisting of 3 red  and 6 blue cards. Then the event of  of getting 4 blue cards will be given

R complement = R` = Universal Set minus Red cards will give blue cards.

a. R OR O

It cannot be this option because we need 4 blue card

b. B AND O

It cannot be this choice as well because 4 is not odd.

c. R OR E

4 is even but we need blue

d. R AND O

Red and odd is again not required

e. R′  = It  will give our required result.

f. E′= 4 is even if it is complemented it cannot be obtained and will be left out.

5 0
3 years ago
What is the volume of a rectangular prism which is 4.25 inches length, 3.75 inches width and 10 ½ inches height? You must show y
pav-90 [236]

The volume would be 167.344 cubic inches because 4.25 times 3.75 times 10.5 or 10 1/2 is 167.34375 but you would round so your answer would be 167.344 cubic inches.

8 0
3 years ago
Which expression is equivalent to (x^4/3x^2/3)^1/3
stellarik [79]

Answer:

x 8/9

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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