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3 years ago

F(x)=5x-3 what does f(5)=

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

5 0

f(5) means that x=5

Now, we solve 5x-3 because we know what x is.

5(5)-3

25-3

F(5)=22

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Tell if each equation represents exponential growth, exponential decay or neither.

scoray [572]

Answer:

Exponential growth A, B;

exponential decay C, E;

neither D.

Step-by-step explanation:

The function $y=a\cdot b^x$

represents exponential growth when $b>1;$
represents exponential decay when $0$

A. The equation $f(t)=\dfrac{2}{3}\cdot \left(\dfrac{7}{3}\right)^t$ represents exponential growth, because $\dfrac{7}{3}>1.$

B. The equation $P=22\cdot \left(1.76\right)^x$ represents exponential growth, because $1.76>1.$

C. The equation $V=\dfrac{1}{3}\cdot \left(0.45\right)^x$ represents exponential decay, because $0$

D. The equation $W=3.2\cdot (x)$ represents neither exponential growth nor exponential decay, because this function is linear.

E. The equation $g(x)=4.2\cdot \left(\dfrac{1}{3}\right)^x$ represents exponential decay, because $0$

3 0

3 years ago

Use the equation and type the ordered-palrs.<br> Y = 2^x

PSYCHO15rus [73]

What is the question

5 0

3 years ago

The hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh

konstantin123 [22]

Answer:

33 copies were paperback and 12 were hardcover.

Step-by-step explanation:

Let h represent the number of hardcover copies and p represent the number of paperback copies.

We know that the total number of copies was 45; this gives us the equation

h+p = 45

We know that each hardcover copy is 7 ounces; this gives us the expression 7h.

We also know that each paperback copy is 5 ounces; this gives us the expression 5p.

We know that the total weight was 249 ounces; this gives us the equation

7h+5p = 249

Together we have the system

$\left \{ {{h+p=45} \atop {7h+5p=249}} \right.$

We will use elimination to solve this. First we will make the coefficients of the variable p the same; to do this, we will multiply the top equation by 5:

$\left \{ {{5(h+p=45)} \atop {7h+5p=249}} \right. \\\\\left \{ {{5h+5p=225} \atop {7h+5p=249}} \right.$

To eliminate p, we will subtract the equations:

$\left \{ {{5h+5p=225} \atop {-(7h+5p=249)}} \right. \\\\-2h=-24$

Divide both sides by -2:

-2h/-2 = -24/-2

h = 12

There were 12 hardcover copies sold.

Substitute this into our first equation:

12+p=45

Subtract 12 from each side:

12+p-12 = 45-12

p = 33

There were 33 paperback copies sold.

3 0

3 years ago

Read 2 more answers

there are 3 slices of pie left, and the angle measurement is 72 degrees, how many slices was the pie cut in to

Daniel [21]

15; this is because 3 pies make up 72
with this you can make it so that 3x=72
After this you need to find x which is a single pie
so; (3x/3)=(72/3)
x= 24
Since you know a circle is 360 degrees all around the center
You can do 360/24 making it 15 pies.

7 0

3 years ago

∠G and ∠H are supplementary; m∠G = (x + 4)° and m∠H = (4x + 11)°. What is the measure of ∠G? What is the measure of ∠H?

iogann1982 [59]

Answer:

∠G = 37°

∠H = 143°

Step-by-step explanation:

As we know ,

Sum of supplementary angles is 180 degrees.

Hence sum of ∠G and ∠H is also 180 degrees

∠G + ∠H = 180

Substituting the given values in above equation, we get -

$(X+4) + (4X +11) = 180\\5X + 15 = 180\\5X = 165\\X = 33$

∠G = (x + 4)° = (33 + 4)° = 37°

∠H = (4x + 11)° = (33*4 + 11)° = 143°

3 0

2 years ago