Simplify 3 upon 10 + 4 upon 5<br><br> 3^10 + 4^5

F(x) = 5x - 4 and g(x) = 3x ^-1. Find (a) f(g(x)), (b) g(f(x)), (c) f(f(x)), and (d) the domain of each composition

aliya0001 [1]

Answer:

I can't help with domain.

Step-by-step explanation:

$f(x)=5x-4\\g(x)=3x^-^1$

$f(g(x))=5x-4\\f(g(x))=5(3x^-^1)-4\\f(g(x))=15x^-^1-4$

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$g(f(x))=3x^-^1\\g(f(x))=3(5x-4)^-^1\\g(f(x))=3*\frac{1}{5x-4}\\g(f(x))=\frac{3}{5x-4}$

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$f(f(x))=5x-4\\f(f(x))=5(5x-4)-4\\f(f(x))=25x-20-4\\f(f(x))=25x-24$

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8 0

4 years ago

Taisha is making birthday gift bags. she wants to put 1/2 pound of chocolate in each bag. she has 4 3/4 pounds of chocolate. how

Varvara68 [4.7K]

Taisha is making gift bags for birthday. She intends to fill each bag with ½ pound of chocolate. Her chocolate bag weighs 4 ¾ pounds. Taisha can make 9.5 gift bags for the birthday.

This is calculated as,

There are 4 ¾ pounds of chocolate.

Each bag will have ½ pound of chocolate.

½ pound × Gift bags = 4 ¾ pounds.

4 ¾ pounds ÷ ½ pound = Gift bags.

4 ¾ pounds is 4.75 pounds and ½ pound is 0.5 pounds.

4.75 pounds ÷ 0.5 pound = 9.5 bags.

Hence , Taisha could make 9.5 gift bags for the birthday.

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7 0

1 year ago

The combined perimeter of the rectangle and triangle is 63 inches. The model shows the dimensions of the rectangle. What is the

katrin2010 [14]

*See diagram in the attachment

Answer:

27 inches

Step-by-step explanation:

Combined perimeter = perimeter of rectangle + perimeter of triangle = 63 inches

Perimeter of rectangle = 2(L + W)

L = 11 in.

W = 7 in.

Perimeter of rectangle = 2(11 + 7) = 36 in.

Let perimeter of the triangle be represented by x

Therefore:

36 + x = 63

Subtract 36 from each side

x = 63 - 36

x = 27

Perimeter of triangle = 27 inches

7 0

3 years ago

For each sequences, find the first 4 term and the 10th term the sequences are

jek_recluse [69]

Answer:

see explanation

Step-by-step explanation:

to find the first 4 terms substitute n = 1, 2, 3, 4 into the sequence rule

to find the 10th term substitute n = 10 into the rule

(a)

a₁ = 1² + 3 = 1 + 3 = 4

a₂ = 2² + 3 = 4 + 3 = 7

a₃ = 3² + 3 = 9 + 3 = 12

a₄ = 4² + 3 = 16 + 3 = 19

a₁₀ = 10² + 3 = 100 + 3 = 103

(b)

a₁ = 2(1)² = 2(1) = 2

a₂ = 2(2)² = 2(4) = 8

a₃ = 2(3)² = 2(9) = 18

a₄ = 2(4)² = 2(16) = 32

a₁₀ = 2(10)² = 2(100) = 200

3 0

2 years ago

What is an equivalent fraction to 1/3 with 330 as the denominator?

Lady_Fox [76]

Answer: 1/3 = 2/6 = 3/9 = 4/12

= 5/15 = 6/18 = 7/21 = 8/24

= 9/27 = 10/30 = 11/33 = 12/36

= 13/39 = 14/42 = 15/45 = 16/48

= 17/51 = 18/54 = 19/57 = 20/60

= 21/63 = 22/66 = 23/69 = 24/72

= 25/75 = 26/78 = 27/81 = 28/84

= 29/87 = 30/90 = 31/93 = 32/96

= 33/99 = 34/102 = 35/105 = 36/108

= 37/111 = 38/114 = 39/117 = 40/120

= 41/123 = 42/126 = 43/129 = 44/132

= 45/135 = 46/138 = 47/141 = 48/144

= 49/147 = 50/150 = 51/153 = 52/156

= 53/159 = 54/162 = 55/165 = 56/168

= 57/171 = 58/174 = 59/177 = 60/180

= 61/183 = 62/186 = 63/189 = 64/192

= 65/195 = 66/198 = 67/201 = 68/204

= 69/207 = 70/210 = 71/213 = 72/216

= 73/219 = 74/222 = 75/225 = 76/228

= 77/231 = 78/234 = 79/237 = 80/240

= 81/243 = 82/246 = 83/249 = 84/252

= 85/255 = 86/258 = 87/261 = 88/264

= 89/267 = 90/270 = 91/273 = 92/276

= 93/279 = 94/282 = 95/285 = 96/288

= 97/291 = 98/294 = 99/297 = 100/300

Step-by-step explanation:

8 0

3 years ago

Simplify 3 upon 10 + 4 upon 5 3^10 + 4^5​

Simplify 3 upon 10 + 4 upon 5 3^10 + 4^5