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4 years ago

6

Solve the system: 6x=25y+1 5x−16y=−4

1 answer:

jeka944 years ago

5 0

Answer:

The solution is (x,y)=(-4,-1)

Step-by-step explanation: Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

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Half a number plus 5 is 11.What is the number?

SOVA2 [1]

<h3>Solution :</h3>

<u>Let x be the number</u>

$\small\bold\red{→}\small\bold{(\frac{1}{2} )x + 5 = 11}$

$\small\bold\red{→}\small\bold{(\frac{1}{2})x + 5 - 5 = 11 - 5}$

$\small\bold\red{→}\small\bold{(\frac{1}{2})x = 6}$

$\small\bold\red{→}\small\bold{2 × (\frac{1}{2})x = 6 × 2 }$

$\small\bold\red{→}\small\bold{x = 12}$

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3 years ago

Read 2 more answers

What is the diagonal of a solid square. each side is 7.

Delvig [45]

Answer:

9. 89

Step-by-step explanation:

A squared + B squared = C squared

7 squared + 7 squared = 98 squared

Find the square root of 98 (I recommend using a calculator)

You should get 9.89 as an answer.

5 0

3 years ago

How many milligrams of medication are in 75 mL of a 2% solution?<br><br> Help

deff fn [24]

The answer is 23 I took the test

4 0

3 years ago

State the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation

aleksandr82 [10.1K]

Answer:

Domain: $[-1,\infty)$

Range: $(-\infty, 3]$

Decreases over: $(-1,-\infty)$

Step-by-step explanation:

Given

$f(x) = -\sqrt{x + 1} + 3$ --- Missing from the question

Solving (a): The domain

To get the domain, the expression under the square root must not be negative.

In other words:

$x + 1 \ge 0$

Solve for x

$x + 1 -1\ge 0-1$

$x \ge -1$

Hence, the domain is:

$[-1,\infty)$

To get the range, we plot the values of the domain in the expression.

$x = -1$

$f(x) = -\sqrt{x + 1} + 3$

$f(-1) = -\sqrt{-1+1} +3$

$f(-1) = -\sqrt{0} +3$

$f(-1) = -0 +3$

$f(-1) = 3$

$x = \infty$

$f(\infty) = -\sqrt{\infty +1}+3$

$f(\infty) = -\sqrt{\infty}+3$

$f(\infty) = -\infty+3$

$f(\infty) = -\infty$

So, the range is: $(-\infty, 3]$

To get the interval where the function increases or not, we simply plot the graph of f(x).

See attachment for graph.

From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.

This implies that, the graph decreases over the interval $(-1,-\infty)$

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3 years ago

a tree casts a shadow that is 18 feet in length. If the angle of elevation is 28 degrees, which of the following best represents

pishuonlain [190]

Check the picture below

make sure your calculator is in Degree mode.

3 0

4 years ago