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4 years ago

Factor completely:x^2+12x+27

Mathematics

1 answer:

Kruka [31]4 years ago

4 0

(x + 9)(x + 3)

hope this helps :)

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Complete the table for the given rule. Rule: y=X/4(fraction)

Lady_Fox [76]

Answer:

$\large\huge\boxed{\begin{array}{c|c}x&y\\\\4&1\\\\2&\frac{1}{2}\\\\9&\frac{9}{2}\end{array}}$

Step-by-step explanation:

$y=\dfrac{x}{4}$

Put the values of x from the table to the equation:

$x=4\to y=\dfrac{4}{4}=1\\\\x=2\to y=\dfrac{2}{4}=\dfrac{2:2}{4:2}=\dfrac{1}{2}\\\\x=9\to y=\dfrac{9}{4}$

From the comment.

Convert the equation:

$y=\dfrac{x}{4}$ multiply both sides by 4

$4y=x\to x=4y$

Put the values of y from the table to the equation:

$y=4\to x=(4)(4)=16\\\\y=2\to x=(4)(2)=8\\\\y=9\to x=(4)(9)=36$

$\large\huge\boxed{\begin{array}{c|c}x&y\\\\16&4\\\\8&2\\\\36&9\end{array}}$

3 0

3 years ago

3. Jen’s parents buy a tablet for her to use in school. Of the $1500 cost, her parents expect her to pay back $1000 one year lat

NNADVOKAT [17]

Answer:

Step-by-step explanation:

Using the formula for calculating simple interest as shown;

Simple Interest = Principal * Rate *Time/100

Principal = Cost of tablet = $1500

Interest after one year = $1500-$1000 = $500

Time = 1year

Substituting this values into the formula;

$500 = 1500*rate*1/100\\Cross\ multiplying\\50,000 = 1500 * rate\\Rate = 50,000/1500\\Rate = 33.3%$

The interest rate that her parents assumed is 33.3%

4 0

3 years ago

What is the length of side AB of parallelogram ABCD? units 4g - 8 B q+4

Andrews [41]

Answer:

8 units

Step-by-step explanation:

» Concepts

Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.

» Application

In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.

» Solving

Step 1: Subtract q from both sides.

$4q-8-q=q+4-q$
$3q-8=4$

Step 2: Add 8 to both sides.

$3q-8+8=4+8$
$3q=12$

Step 3: Divide both sides by 3.

$3q/3 = 12/3$
$q=4$

Step 4: Plug in the value of q for side AB.

$4(4)-8$
$16-8$
$8$

Therefore, the answer is 8 units.

6 0

2 years ago

Find the total surface area of the following cylinder: r=3 cm 3 cm SA = [? ]n cm2

OLga [1]

Answer:

36

Step-by-step explanation:

5 0

3 years ago

X/5=2/3=5/y 2/3 4/9 1

Mademuasel [1]

$\frac{x}{5}= \frac{2}{3} = \frac{5}{y}$
Break the equation into parts;
$\frac{x}{5} = \frac{2}{3} ; \frac{2}{3}= \frac{5}{y}$
Solving for x;
$\frac{x}{5} = \frac{2}{3}$
x= $\frac{10}{3}$
Solving for y;
$\frac{2}{3} = \frac{5}{y} 
y= \frac{3*5}{2} 
y= \frac{15}{2}$
$\frac{x}{y} = \frac{10/3}{15/2}$
$\frac{x}{y} = \frac{4}{15}$

5 0

4 years ago