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AnnZ [28]
3 years ago
11

Find the function G defined by G(x) =5x+3 find G(-1)

Mathematics
2 answers:
Nostrana [21]3 years ago
7 0

Answer:

G(-1) = -2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Functions

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

G(x) = 5x + 3

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function G(x)]:                                                                         G(-1) = 5(-1) + 3
  2. Multiply:                                                                                                             G(-1) = -5 + 3
  3. Add:                                                                                                                   G(-1) = -2
DaniilM [7]3 years ago
4 0

Answer:

G = -2

Step-by-step explanation:

Plug in -1 for x.

5(-1) + 3

-5 + 3

-2

G = -2

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Makovka662 [10]

Answer:

Explained below.

Step-by-step explanation:

The formula for average rate of change is:

\frac{f(b) - f(a)}{b - a}

1. \frac{f(b) - f(a)}{b - a} = \frac{f(2) - f(1)}{2 - 1} =  \frac{100 - 40}{2 - 1} =  \frac{70}{1} = 70

2. \frac{f(b) - f(a)}{b - a} = \frac{f(4) - f(2)}{4 - 2} = \frac{180 -110}{4 - 2} = \frac{70}{2} = 35

3. \frac{f(b) - f(a)}{b - a} = \frac{f(8) - f(6)}{8 - 6} = \frac{350 -230}{8 - 6} = \frac{120}{2} = 60

4. \frac{f(b) - f(a)}{b - a} = \frac{f(10) - f(8)}{10 - 8} = \frac{390 -350}{10 - 8} = \frac{40}{2} = 20

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6 0
3 years ago
Question Help
ValentinkaMS [17]

Step-by-step explanation:

We assume that the advertising rates in this journal for full-page ads is x ($/ad); the rate for half-page ads is y ($/ad).

The revenue for 3 full page ads are: 3x ($)

The revenue for 5 half page ads are: 5y ($)

One issue of a journal has 3 full-page ads and 5 half-page ads, generating $6340.

=> The total revenue for 3 full page and 5 half page ads are $6340

=> 3x + 5y = 6340

The revenue for 4 full page ads are: 4x ($)

The revenue for 4 half page ads are: 4y ($)

One issue of a journal has 4 full-page ads and 4 half-page ads, generating $6625.

=> The total revenue for 4 full page and 4 half page ads are $6625

=> 4x + 4y = 6625 (1)

We have:

+) 3x + 5y = 6340

=> 5y = 6340 - 3x

=> y = (6340 - 3x)/5 = 1268 - 0.6x

Replace <em>y = 1268 - 0.6x </em>into (1), we have:

4x + 4y = 6625

⇔4x + 4(1268 - 0.6x) = 6625

⇔ 4x + 5072 - 2.4x = 6625

⇔ 1.6x = 1553

⇔ x = 1553/1.6 = 970.625

=> y = 1268 - 0.6x = 1268 - 0.6*970.625= 1268 - 582.375 = 685.625

So the advertising rate for full page ads is $970.625, for half-page ads is $685.625

7 0
4 years ago
Consider a Triangle ABC like the one below. Suppose that C = 98, A = 74, and b = 11 (figure is not drawn to scale.) solve the tr
Degger [83]

Answer:

A=73.8\°

B=8.2\°

c=76.3\ units

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

c^{2}= a^{2}+b^{2}-2(a)(b)cos(C)

substitute the given values

c^{2}= 74^{2}+11^{2}-2(74)(11)cos(98\°)

c^{2}=5,823.5738

c=76.3\ units

step 2

Find the measure of angle A

Applying the law of sine

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute the given values

\frac{74}{sin(A)}=\frac{76.3}{sin(98\°)}

sin(A)=(74)sin(98\°)/76.3

A=arcsin((74)sin(98\°)/76.3)

A=73.8\°

step 3

Find the measure of angle B

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

A+B+C=180\°

substitute the given values

73.8\°+B+98\°=180\°

171.8\°+B=180\°

B=180\°-171.8\°=8.2\°

5 0
3 years ago
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