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3 years ago

if f(x) is the total cost in dollars of x candies which of the following statements best describe meaning of F(2) =6

Mathematics

1 answer:

aalyn [17]3 years ago

8 0

Answer:

The total Cost of 2 candies is $6.00.

Step-by-step explanation:

We are told that f(x) represents the cost of candy, and that x represents the number of candies.

f(2) means that x=2, which is 2 candies; f(2) = 6 means that the cost of 2 candies is $6.

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X4+18=11x2<br> What's the answer to this?

aleksandrvk [35]

4x + 18=22
4x=22-18
4x=4
x=4/4
x=1

4 0

3 years ago

Read 2 more answers

One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed together in ord

RideAnS [48]

X=amount of canned juice with 25% of orange juice
y=amount of other canned juice with 10% of orange juice.
25%=25/100=1/4
10%=10/100=1/10
17%=17/100
We can suggest this system of equations:
(1) x+y=15

(2) (x/4+y/10) / (x+y)=17/100 ⇒100(x/4 + y/10)=17(x+y) ⇒25x+10y=17x+17y ⇒8x-7y=0

Finally, we have this system of equations:
x+y=15
8x-7y=0

We can solve this system by substitution method.
x+y=15 ⇒ y=15-x

8x-7(15-x)=0
8x-105+7x=0
15x=105
x=105/15
x=7

y=15-x=15-7=8

answer: we should mix 7 liters of juice (with 25% orange juice) and 8 liters of juice (with 10% orange juice).

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3 years ago

Question 16 please...

Juliette [100K]

Brita have 323 in her account before the withdrawal

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4 years ago

In a random sample of 130 students, only 7 had been placed in the wrong math class. What is the best point estimate for the prop

Ivenika [448]

We have the given in the problem as mentioned:
A total of 130 students and only 7 had been placed in the wrong math class.
With this given, we can easily draw the proportion of all students who have been placed in the wrong math class by estimation method and the solution is shown below:

Proportion = 7/130

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3 years ago

Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate

kolbaska11 [484]

Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality $x^{2}-5x+4\leq 0$ . To do that, factorize, then we have that $(x-4)(x-1)\leq 0$ . This implies that

$x-1\leq 0\, \text{and}\, x-4\geq 0$

$x-1 \geq 0\, \text{and}\, x-4\leq 0$

In the first case the solution is the empty set $\emptyset$ . In the second case the solution is the interval $1\leq x \leq 4$ . Now we have that

$A=[1,4]$

$B=(3,5)$

$C=(3,4]$ .

To show that $A\cap B\subseteq C$ consider $x\in A\cap B$ . Then $1\leq x \leq 4\, \text{and}\, 1$ , this implies that $3$ , then $x\in C$ . Now, to show that $C\subseteq A\cap B$ consider $x\in C$ , then $3$ , then $1\leq x \leq 4\, \text{and}\, 3$ , then $x\in [1,4] \, \text{and}\, x\in (3,5)$ , this implies that $x\in A\cap B$ .

Observe the image below.

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4 years ago