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Yanka [14]

3 years ago

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Mathematics

2 answers:

FromTheMoon [43]3 years ago

7 0

9514 1404 393

Answer:

(f×g)(x) = 2x^2 +2x
(f×g)(x) = 6y^2 -11y -35

Step-by-step explanation:

The distributive property applies.

1. (fg)(x) = f(x)·g(x) = (2x)·(x +1)

(f×g)(x) = 2x^2 +2x

2. (fg)(x) = f(x)·g(x) = (2y -7)·(3y +5) = 2y(3y +5) -7(3y +5)

(f×g)(x) = 6y^2 -11y -35

_____

Additional comment

Please note in problem 2 that the function argument is x and the variable in the given expressions is y. This means the function value is exactly and only 6y^2 -11y -35 for any value of x. It does not change when x changes. (We suspect a typo.)

Colt1911 [192]3 years ago

6 0

Answer:

9514 1404 393

Answer:

1. (fxg)(x) = 2x^2 +2x 2. (fxg)(x) = 6y^2 -11y -35

Step-by-step explanation:

The distributive property applies.

1. (fg)(x) = f(x)-g(x) = (2x)-(x+1)

(fxg)(x) = 2x^2 +2x

2. (fg)(x) = f(x) g(x) = (2y -7) (3y +5) = 2y(3y +5)

-7(3y +5) (fxg)(x) = 6y^2 -11y -35

Additional comment

Please note in problem 2 that the function argument is x and the variable in the given expressions is y. This means the function value is exactly and only 6y^2 -11y -35 for any value of x. It does not change when x changes. (We suspect a typo.)

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Jessica, Lauren and Kimmie were paid a total of $120 for babysitting in a ratio of 2:3:5. How much less did Jessica make than Ki

Tju [1.3M]

Answer:

Jessica makes $36 less than Kimmie

Step-by-step explanation:

Let

x -----> amount paid to Jessica

y ----> amount paid to Lauren

z ----> amount paid to Kimmie

we know that

$x+y+z=120$ ------> equation A

$\frac{x}{y}=\frac{2}{3}$

$x=\frac{2}{3}y$ -----> equation B

$\frac{y}{z}=\frac{3}{5}$

$z=\frac{5}{3}y$ -----> equation C

substitute equation B and equation C in equation A and solve for y

$\frac{2}{3}y+y+\frac{5}{3}y=120$

$\frac{10}{3}y=120$

$y=120(3)/10$

$y=36$

Find the value of x

$x=\frac{2}{3}(36)=24$

Find the value of z

$z=\frac{5}{3}(36)=60$

therefore

The amount paid to Jessica was $24

The amount paid to Lauren was $36

The amount paid to Kimmie was $60

To find out how much less Jessica did than Kimmie, subtract the amount paid to Jessica from the amount paid to Kimmie.

$\$60-\$24=\$36$

therefore

Jessica makes $36 less than Kimmie

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JulijaS [17]

Answer:

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On April 1, Preston McCord deposited $1,400 in a savings account that pays annual interest of 3.2%

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Answer:

After 6 months, the interest generated by the investment would be $21.10.

Step-by-step explanation:

To determine the interest that Preston McCord could earn by investing $ 1,400 in an account that pays 3.2% annual interest compounded monthly, leaving said money invested for a period of 6 months, it is necessary to perform the following calculation:

X = 1,400 x (1 + 0.032 / 6) ^ 0.5x6

X = 1,421.10

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Thus, after 6 months, the interest generated by the account will be $ 21.10.

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Which of the following statements are true and which are false? Give reasons for your answers.(i) Only one line can pass through

liubo4ka [24]

Complete Question

Which of the following statements are true and which are false? Give reasons for your answers.

(i) Only one line can pass through a single point.

(ii) There are an infinite number of lines which pass through two distinct points.

(iii) A line can be produced indefinitely on both sides.

(iv) If two circles are equal, then their radii are equal.

(v) if AB=PQ and PQ=XY, then AB=XY.

A (i),(ii) - True

(iii),(iv),(v)-False

B(i),(ii),(iii) -True

(iv),(v)-False

C (i),(ii) -False

(iii),(iv),(v)-True

D (i),(ii),(iii) -False

(iv),(v)-True

Answer:

The correct option is C

Step-by-step explanation:

i is false because several lines can pass through a single point

ii is false because only one line can pass through two distinct points

iii is true because you can extend a line from both points (start and end points )

iv is true because when two equal circle are placed together and radius is trace we will discover that they are equal

v is true because from Euclid's First Axiom , if a= c and c = d the a = d

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