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Orlov [11]
3 years ago
5

[f-g] (3) for f(x)=4x+3 and g(x)=8/x+2 step by step!

Mathematics
1 answer:
gladu [14]3 years ago
6 0

Answer:

10.4

Step-by-step explanation:

x=3⇒f(3)= 4×3+3=15

x=3⇒g(3)=8/3+2≈4.6

f(3)-g(3)=15-4.6=10.4

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At the beginning of the year, Alyssa had $100 in savings and saved an additional $7 each week thereafter. Colton started the yea
Norma-Jean [14]

The equation that represents the amount saved by Alyssa after tt weeks is AA = 100 + $7tt

The equation that represents the amount saved by Colton after tt weeks is CC = $55 + $10tt

The amount they would have when they have same amount of money is $205.

<h3>What equation represents the total amount saved?</h3>

The total amount saved: inital amount + (amount saved per week x total number of weeks

AA = 100 + $7tt

CC = $55 + $10tt

<h3>What would be the amount when they have the same amount of money?</h3>

$55 + $10tt = 100 + $7tt

Combine similar terms and solve for tt

100 - 55 = 10tt - 7tt

45 = 3tt

tt = 15 weeks

100 + $7(15) = $205

To learn more about linear functions, please check: brainly.com/question/26434260

7 0
1 year ago
find the coordinate of U' after a 90° counterclockwise rotation of the triangle about the origin and then a translation of 2 uni
SVETLANKA909090 [29]

Answer: U' = (0, 1)

<u>Step-by-step explanation:</u>

U = (3, -5)

rotate 90° counterclockwise means (x, y) = (-y, x)

new U = (5, 3)

down 2 units means subtract 2 from the y-coordinate

newer U = (5, 1)

left 5 units means subtract 5 from the x-coordinate

U' = (0, 1)

6 0
2 years ago
Find the next three sequence of 1,3, 9, 27,<br>​
Andreyy89

Answer: 81, 243, 729

Step-by-step explanation:

<u>STEP ONE: Find a pattern in the sequence</u>

3 ÷ 1 = 3

9 ÷ 3 = 3

27 ÷ 9 = 3

As we can see from the given sequence, each number multiplies 3 to get the next term.

<u>STEP TWO: Find the next three terms</u>

27 × 3 = 81

81 × 3 = 243

243 × 3 = 729

Hope this helps!! :)

Please let me know if you have any questions

4 0
3 years ago
The coordinates of the endpoints of ST are (-2,3) and (3, y) respectively supposethe distance between s and t us 13 units.What v
igor_vitrenko [27]

Answer:

The values of y would be -9 and 15

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

d=13\ units

S(-2,3) and T(3,y)

substitute the given values in the formula and solve for y

13=\sqrt{(y-3)^{2}+(3+2)^{2}}

13=\sqrt{(y-3)^{2}+25}

squared both sides

169=(y-3)^{2}+25

(y-3)^{2}=169-25

(y-3)^{2}=144

take square root both sides

y-3=(+/-)12

y=3(+/-)12

y=3(+)12=15

y=3(-)12=-9

therefore

The values of y would be -9 and 15

5 0
3 years ago
David found and factored out the GCF of the polynomial 80b4 – 32b2c3 + 48b4c. His work is below. GFC of 80, 32, and 48: 16 GCF o
BlackZzzverrR [31]

Answer: The correct statements are

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

David applied the distributive property.

Step-by-step explanation:

GCF = Greatest common factor

1) GCF of coefficients : (80,32,48)

80 = 2 × 2 × 2 × 2 × 5

32 = 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

GCF of coefficients : (80,32,48) is 16.

2) GCF of variables :(b^4,b^2,b^4)

b^4= b × b × b × b

b^2 = b × b

b^4 =b × b × b × b

GCF of variables :(b^4,b^2,b^4) is b^2

3) GCF of c^3 and c: c is not the GCF of the polynomial. The variable c is not common to all terms, so a power of c should not have been factored out.

4) 80b^4-32b^2c^3+48b^4c

=16b^2(5b^2-2c^3+3b^2c)

David applied the distributive property.

7 0
3 years ago
Read 3 more answers
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