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3 years ago

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:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

Identify

G(x) = 5x + 3

Step 2: Evaluate

Substitute in x [Function G(x)]: G(-1) = 5(-1) + 3
Multiply: G(-1) = -5 + 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

5. Their average speed was the greatest during the first to second hour.

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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 y = 1268 - 0.6x 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

$A+B+C=180\°$

substitute the given values

$73.8\°+B+98\°=180\°$

$171.8\°+B=180\°$

$B=180\°-171.8\°=8.2\°$

5 0

3 years ago