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3 years ago

11

Solve the equation -4 = 5 - xshow all steps

2 answers:

velikii [3]3 years ago

8 0

Answer:

9

Step-by-step explanation:

-4=5-x

+4 +4

0=9-x

-1(0)=-1(9-x)

0=9+x

-9 -9

______

9=x

srry its a little long

Allushta [10]3 years ago

6 0

Answer: 9

Answer explained:

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A restaurant wishes to have at least one server for every 12 tables. Each of the tables in the restaurant seats four guests. If

Fiesta28 [93]

X = number of servers
y = number of guests

$\text {number of guest per table = } 4$ <span>

</span> $\text {number of tables = } \dfrac{y}{4}$
<span>
</span> $\text {number of servers needed = } \dfrac{y}{4} \div 12$ <span>

</span> $\text {number of servers needed = } \dfrac{y}{4} \times \dfrac{1}{12}$

$\text {number of servers needed = } \dfrac{y}{48}$

There must be at least 1 server for every 12 tables:
$x \geq \dfrac{y}{48}$

8 0

3 years ago

Simplify the expression using trigonometric identities:

Anastaziya [24]

The simplified expression is the one in option B.

<h3>How to simplify the expression?</h3>

Remember that:

$sec(x) = 1/cos(x)\\\\cos(x) = cos(-x)$

With these two, we can rewrite the numerator as:

$sec(x)*sin(-x) + tan(-x)\\\\\frac{1}{cos(x)}*sin(-x) + tan(x)\\\\\frac{1}{cos(-x)}*sin(-x) + tan(-x)\\\\2*tan(-x)$

Replacing that in the given expression, we have:

$\frac{2*tan(-x)}{1 + sec(-x)} = \frac{2*tan(-x)}{1 + 1/cos(-x)}$

Now, if we multiply and divide by cos(-x), we get:

$\frac{2*tan(-x)}{1 + 1/cos(-x)} = \frac{2*tan(-x)}{1 + 1/cos(-x)}*\frac{cos(-x)}{cos(-x)} \\\\= \frac{2*sin(-x)}{1 + cos(-x)}$

Now remember that:

$cos(x) = cos(-x)\\sin(-x) = -sin(x)$

With these two properties:

$\frac{2*sin(-x)}{1 + cos(-x)} = \frac{-2*sin(x)}{1 + cos(x)}$

Then the correct option is B.

If you want to learn more about trigonometric identities:

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3 0

1 year ago

Could anyone answer please?

Goryan [66]

1. 26
2. 20
3. 38
4. 25
5. 47

7 0

3 years ago

Could someone help me with a couple problems relating to quadratic formula? Heres one as an example. 2(12x^2-x)=15.

Gennadij [26K]

Answer:

Step-by-step explanation:

2(12x^2-x)=15

24x^2-2x-15=0

24x^2-20x+18x-15=p

4x(6x-5)+3(6x-5)=0

(4x+3)(6x-5)=0

x= -3/4 or 5/6

7 0

3 years ago

We described numbers in this lesson using both powers of 10 and using standard decimal value. For example, the speed of light th

Ivanshal [37]

Answer:

B = 2×10⁸

A = 3×10⁸

Step-by-step explanation:

5 0

2 years ago