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2 years ago

For f(x) = 4x+1 and g(x) =x^2-5 find (f times g) (4) apex

Mathematics

1 answer:

Dafna11 [192]2 years ago

6 0

Answer:

$(f o g)(4) = 45$

Step-by-step explanation:

Step 1:-

Given f(x) = 4 x+1 and g(x) =x^2-5

$(f o g )(x) = f(g(x))$

Given

$(f 0 g)(4)=f(g(4))$

$f(g(4))=f(4^{2}-5)=f(11)$

$f(11)=4(11)+1 = 45$

Therefore $(f o g)(4) = 45$

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Larisa earns $7 per hour.she worked 40 hours at the regular rate, 3 hours at time and half, and 6 hours at double time.

VARVARA [1.3K]

Answer:

$6.07/hr. if I understand the question properly. See below.

Step-by-step explanation:

I don't see the question, but will assume we want to find Larisa's base pay. The $7/hr given is the average for the work sequence noted in the problem. If this is incorrect, ignore the answer.

==================================

Let x be Larisa's base salary. We are told, I think, that in one stretch of time Larisa earned an average of $7/hour. That was composed of:

Hours Rate($/hr)

40 x

3 1.5x

6 2x

Her total income over this period would be:

40x +3(1.5x) + 6(2x) [The hours worked times the pay rate for each period]

Her average income per hour would be:

(40x +3(1.5x) + 6(2x))/49

which we are told is $7/hr.

(40x +3(1.5x) + 6(2x))/49 = 7

40x + 4.5x + 12x = 343

56.5x = 343

x = $6.07/hr

6 0

1 year ago

A number from 8 to 15 is drawn from a bag at random. What is the theoretical probability of drawing the number 12?

tamaranim1 [39]

It would be 15 percent

4 0

2 years ago

Read 2 more answers

HELP ASAP, PLEASE!!!!

padilas [110]

Answer:

Fraction = 5/10 = 1/2

Decimal = 0.5

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Solve.

BabaBlast [244]

Answer:

x = $\frac{13}6}$ = 2 $\frac{1}{6}$

Step-by-step explanation:

34.2 = 13.4 + 9.6x

20.8 = 9.6x

x = 20.8 / 9.6

x = $\frac{13}6}$

7 0

2 years ago

Formalize the following argument by using the given predicates and then rewriting the argument as a numbered sequence of stateme

sergiy2304 [10]

Answer:

The answer is " $\bold{((P_2 \wedge P_3)\longrightarrow P_1 \longrightarrow P_1 }$ ".

Step-by-step explanation:

Let assuming the following predicates:

$\to B(x,y)= \text{x barks at y} \\\\\to D (x)= \text{x is a dog} \\\\\to C (x)= \text{x is a cat} \\\\$

In the given table it calculates the numbered sequence, which is given in the statement and calculates the other details, please find the attached file.

Premise P1 means whether dogs are shouting at cats.

Premise P2 means Maximum is a dog.

Premise P3 means that a cat is Moonbeam.

Unless the assumptions P1, P2, and P3 all are valid, otherwise the conclusion that Maximum starts barking at Moonbeam also is correct.

By both the law of deduction of Modus Ponens, statement 4 is the interpretation of states 1, 2, and 3. That conclusion can thus be conveyed as follows:

so, the final answer is " $\bold{((P_2 \wedge P_3)\longrightarrow P_1 \longrightarrow P_1 }$ "

5 0

3 years ago