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4 years ago

Factor completely 3x2 − 21.

Mathematics

2 answers:

Bad White [126]4 years ago

4 0

ANSWER

$3( {x}^{2} - 7)$

EXPLANATION

The given expression is

$3 {x}^{2} - 21$

The highest common factor is 3.

Factor 3 to obtain,

$3( {x}^{2} - 7)$

We could have imposed difference of two squares on the expression in the parenthesis to factor further. But the result is not part of the given options.

Hence the correct answer is A.

wlad13 [49]4 years ago

4 0

Answer:

Step-by-step explanation:

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explain how using fractions strips with like denominators makes it possible to add fractions with unlike denominators?

pentagon [3]

You just change the denominator in too the same denominator

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3 years ago

It cost $36.75 for 3 tickets to visit the science center. It cost $51 for tickets for 4 tickets to visit the zoo. Which attracti

jonny [76]

Answer:

It would cost more to go to the zoo by $6

Step-by-step explanation:

The total amount that each attraction costs can be given by;

Science center

Total cost at the science center=cost per ticket×number of tickets

where;

Total cost at the science center=$36.75

Cost per ticket=c

Number of tickets=3 tickets

Substituting;

36.75=c×3

c=(36.75/3)=12.25 per ticket to go to the science ticket

For 12 students, total cost at the science center=(12.25×12)=$147

Zoo

Total cost at the zoo=cost per ticket×number of tickets

where;

Total cost at the zoo=$51

Cost per ticket=d

Number of tickets=4 tickets

Substituting;

51=d×4

d=(51/4)=12.75 per ticket to go to the zoo

For 12 students, total cost at the zoo=(12×12.75)=$153

Total zoo cost-Total science center cost=(153-147)=$6

It would cost more to go to the zoo by $6

7 0

3 years ago

Express 0.0057 in scientific notation

andrew-mc [135]

Answer:

$5.7 \times {10}^{ - 3}$

Step-by-step explanation:

0.0057

first number

then the rest

equal

5.7

There's three zeros behind the number 5 which mean it will be -3

$\times {10}^{ - 3}$

final answer

$5.7 \times {10}^{ - 3}$

another example and it will be clear

0.0000403

first number

then the rest

equal

4.03

There's five zeros behind the number 4 which mean it will be -5

$\times {10}^{ - 5}$

final answer

$4.03 \times {10}^{ - 5}$

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3 years ago

A travel agent is booking trips for tourists who travel from New York to Chicago. Tourists have three choices for how to travel

sashaice [31]

Answer:

P = 1/2

Step-by-step explanation:

If the tourist spends more than 275$, they must not arrive in Chicago by bus.

( 150 + 60 < 275, 150 + 40 < 275)

The total options the tourist can make:

3 x 2 = 6

(1st leg: 3 possible options, 2nd leg: 2 possible options)

The number of options the tourist can make after excluding bus option:

2 x 2 = 4

(1st leg: 2 remaining possible options, 2nd leg: 2 possible options)

The number of options the tourist can make after excluding the bus option and spend more than 275$:

4 - 1 = 3

(excluding the case of selecting train and cab, because 225 + 40 < 275)

=> The probability that the tourist will spend more than 275$ on these 2 legs of the trip:

P = 3/6 = 1/2

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Slope intercept form : y = mx + b

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