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3 years ago

6

What are the steps to this equation?

1 answer:

Gala2k [10]3 years ago

3 0

Answer:

1. Add 1 to both sides

2. Multiply both sides by 4

3. Take the square root of both sides

4. Subtract 5 from both sides

Step-by-step explanation:

$\frac{1}{4} (x+5)^{2} -1=3$

<em>Add 1 to both sides</em>

$\frac{1}{4} (x+5)^{2}=4$

<em>Multiply both sides by 4</em>

$(x+5)^{2}=16$

<em>Square root both sides</em>

$x+5=4$

<em>Subtract 5 from both sides</em>

$x=-1$

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16 tablespoon to milliliters

Brut [27]

Answer: The answer is: " 240 milliliters (mL) " .

_________________________________________________

Step-by-step explanation:

_________________________________________________

Given 16 Tablespoons ; Convert to "mL" .

Note: "milliliters" can be abbreviated as "mL" .

Note: 15 mL = 1 Tablespoon .

16 Tablespoons * ( $\frac{15 mL}{1 Tablespoon}$ ) ;

= (16 * 15) mL

= 240 mL .

_________________________________________________

The answer is: " 240 milliliters (mL) " .

_________________________________________________

3 0

3 years ago

A field is shaped like the figure shown. What is the area of the field? Use 3.14

uysha [10]

There is no figure, i cant help you sorry

6 0

3 years ago

The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w

raketka [301]

Answer:

61

Step-by-step explanation:

Let's find the points $A$ and $B$ .

We know that the $y$ -coordinates of both are $3$ .

So let's first solve:

$3=4x^2+x-1$

Subtract 3 on both sides:

$0=4x^2+x-1-3$

Simplify:

$0=4x^2+x-4$

I'm going to use the quadratic formula, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , to solve.

We must first compare to the quadratic equation, $ax^2+bx+c=0$ .

$a=4$

$b=1$

$c=-4$

$\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}$

$\frac{-1 \pm \sqrt{1+64}}{8}$

$\frac{-1 \pm \sqrt{65}}{8}$

Since the distance between the points $A$ and $B$ is horizontal. We know this because they share the same $y-coordinate$ .This means we just need to find the positive difference between the $x$ -values we found for the points of $A$ and $B$ .

So that is, the distance between $A$ and $B$ is:

$\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}$

$\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}$

$\frac{2\sqrt{65}}{8}$

$\frac{\sqrt{65}}{4}$

If we compare this to $\frac{\sqrt{m}}{n}$ , we should see that:

$m=65 \text{ and } n=4$ .

So $m-n=65-4=61$ .

5 0

2 years ago

Read 2 more answers

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that th

Karolina [17]

Answer:

Probability (bid accepted) = 0.48

Step-by-step explanation:

Probability density is given byF(y)= 1/(b-a)

a=9500

b= 14700

F(y)= 1/(14700-9500) =1/5200=0.00019

Probability (bid accepted)= (12000-9500)÷1/5200

P( bid accepted) = 2500×0.00019=0.475 approximately 0.48

5 0

3 years ago

What is the sum of 1.57 and 6.88?

mario62 [17]

Answer:

8.45 is the answer

Step-by-step explanation:

Hope it helps you

6 0

2 years ago

Read 2 more answers