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3 years ago

Solve the inequality 3(y+5)>21

Mathematics

1 answer:

Kaylis [27]3 years ago

8 0

Answer:

y > 2

Step-by-step explanation:

1) $3(y+5)>21$

Divide both sides by 3.

2) $y+5>7$

Move the constant to the right side and change it's sign.

3) $y>7-5$

Subtract the numbers.

4) $y>2$

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Which statement is true about the function f(x)=-√-x

Harrizon [31]

Answer: D.The domain and range of the function are the same.

Step-by-step explanation: Given function f(x)=-√-x.

The given function is a square root function and we have minus sign in front of x inside square root.

A square root always defined for positive values or 0.

In order to get a positive number or 0 inside square root, let us solve the inequality:

$-x\geq 0$

On dividing both sides by -1, the inequality sign would get flip and we get

<h3>Domain: $x \leq 0.$ </h3>

We can see that we have a negative sign in front of square root. So, the value of f(x) would be always a negative number or 0.

<h3>Therefore, range would also be : $x \leq 0.$ .</h3><h3>Therefore, correct option is D option.</h3>

5 0

4 years ago

I don’t understand how to find the height

ANTONII [103]

Answer:

height, x is 235 ft

Step-by-step explanation:

From trigonometric ratios:

$\cos( \theta) = \frac{adjacent}{hypotenuse}$

but:

$\theta = 90 \degree - 36 \degree \\ \theta = 54 \degree$

adjacent is x

hypotenuse is 400 ft

$\ \cos ( 54 \degree) = \frac{x}{400} \\ \\ x = 400 \ \cos (54 \degree) \\ x = 235 \: \: feet$

8 0

3 years ago

Read 2 more answers

Fill in the box to make the equation true. 5x + something - 3x=4x

Sveta_85 [38]

Answer: 2x

Step-by-step explanation: because 5+2-3=4

5 0

3 years ago

Read 2 more answers

A group of students are going on a trip and the trip costs $36.50 per student which includes $9.50 for lunch, an entrance ticket

Gnesinka [82]

Answer:

The answer is D) $13.50

Step-by-step explanation:

So first what you're gonna do it subtract $9.50 from $36.50 which will get you to $27.00.

Then you'll have to figure out what half of $27.00 is.

That will get you to the answer of D) $13.50

5 0

3 years ago

3*3*3*3*3^2 write as a single power

e-lub [12.9K]

Answer:

$3^6$

Step-by-step explanation:

Step 1: Find the single power of these numbers

$3 * 3 * 3 * 3 * 3^2$

$(3 * 3 * 3 * 3) * 3^2$

$3^4 * 3^2$

$3^(^4^+^2^)$

$3^6$

Answer: $3^6$

3 0

3 years ago