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3 years ago

PLEASE HELP :(

Mathematics

1 answer:

Stells [14]3 years ago

4 0

Answer:

y = 2.50x + 10

Step-by-step explanation:

y=mx+b

x=number of rides

y=cost

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Which statement best describes f(x)= -2 √x-7 +1 –6 is in the domain of f(x) but not in the range of f(x). –6 is not in the domai

Archy [21]

Answer:

B. -6 does not belong to the domain but belongs to the range of f(x).

Step-by-step explanation:

We have the function, $f(x)=-2\sqrt{x-7}+1$ .

So, the domain of the function is obtained when $x-7\geq 0$ i.e. $x\geq 7$

That is, the domain is {x | x≥ 7}.

Now as we have,

$x\geq 7$ → $x-7\geq 0$ → $\sqrt{x-7} \geq 0$ → $-2\sqrt{x-7} \leq 0$ → $-2\sqrt{x-7}+1 \leq 1$ .

That is, $f(x)\leq 1$

Thus, the range of the function f(x) is {y | y≤ 1}.

Thus, we can see that,

-6 does not belong to the domain but belongs to the range of f(x).

5 0

4 years ago

Divide. 1,229 ÷ 14 Enter your answer in the boxes as a mixed number in simplest form.

Tatiana [17]

Answer:

87 11/14

Step-by-step explanation:

1,229 ÷ 14

It can also be written as

1,229 / 14

14 in 12 is not possible

14 in 122 is 8 remainder 10

The 10 remaining + 9 in the the given expression

14 in 109 is 7 remainder 11

The answer is 87 11/14

87 whole number 11 over 14

1,229 / 14 = 87 11/14

3 0

4 years ago

Y=2x2

yaroslaw [1]

C. Every y-value is twice the square of its x-value

3 0

4 years ago

One and Two step equations Escape Room.: The teeth on this key are busted. Now they must be readjusted. Find the code.

SSSSS [86.1K]

The code for Escape Room is MCYHW.

<h3>Inequalities</h3>

Inequalities is a mathematic expression that do not present equalitiy between both sides. It is represented by symbols: <, ≤, > and ≥.

For solving this exercise, firstly, you should solve the inequalities identified by letters: H, W, M, Y and C. After that, you should relate yours anwers with the options given for the exercise.

Inequality H

$-11x-4 > -15\\ \\ -11x > -15+4\\ \\ -11x > -11\; *(-1)\\ \\ 11x < 11\\ \\ x < 1$

Therefore, you should connect H with x<1.

Inequality W

$32 > -16x\\ \\ Rewriting \\ \\ -16x < 32 \\ \\ -16x < 32\; *(-1)\\ \\ 16x > -32\\ \\ x > \frac{-32}{16} \\ \\ x > -2$

Therefore, you should connect W with x>-2.

Inequality M

$3+x\leq -9\\ \\ x\leq -9-3\\ \\ x\leq -12$

Therefore, you should connect M with x≤-12.

Inequality Y

$-7x+7\leq -56\\ \\-7x\leq -56-7\\ \\ -7x\leq -63\\ \\ -7x\leq -63\; *(-1)\\ \\ 7x\geq 63\\ \\ x\geq \frac{63}{7} \\ \\ x\geq 9$

Therefore, you should connect Y with x≥9.

Inequality C

$-20\geq -5x+15\\ \\Rewriting\\ \\ 5x+15\leq -20\\ \\ -5x\leq -20-15\\ \\ -5x\leq -35\\ \\-5x\leq -35\; *(-1)\\ \\ 5x\geq 35\\ \\ x\geq \frac{35}{5} \\ \\ x\geq 7$

Therefore, you should connect C with x≥7.

Thus, the sequence is:

M - $x\leq -12$

C - $x\geq 7$

Y- $x\geq 9$

H- $x < 1$

W- $x > -2$