X² -6 = 5x<br><br> what is x squared minus six equals five x

A market has 648 apple packages in bag with 12 apple each. How many bags of apple does the market have? Write a number in each b

Pavel [41]

54 bags of apple is what the market has

6 0

2 years ago

A small garden measures 9 ft by 13 ft. A uniform border around the garden increases the total area to 192 ft square. What is the

victus00 [196]

The width of border is 1.5 feet

<h3><u>Solution:</u></h3>

Given that small garden measures 9 ft by 13 ft

A uniform border around the garden increases the total area to 192 ft square

To find: width of border

Let the width of border be "x"

Then the new measures of garden are (9 + 2x) feet and (13 + 2x) feet

The total area of garden = 192 square feet

$(9 + 2x)(13 + 2x) =192$

$117 + 18x + 26x + 4x^2 = 192\\\\4x^2 + 44x - 75 = 0$

<em><u>Let us solve the above equation by quadratic formula</u></em>

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

For $4x^2 + 44x - 75 = 0$ , we have a = 4 ; b = 44 ; c = -75

Substituting the values of a = 4 ; b = 44 ; c = -75 in above quadratic formula we get,

$\begin{aligned}&x=\frac{-44 \pm \sqrt{44^{2}-4(4)(-75)}}{2 \times 4}\\\\&x=\frac{-44 \pm \sqrt{1936-1200}}{8}\\\\&x=\frac{-44 \pm \sqrt{3136}}{8}\\\\&x=\frac{-44 \pm 56}{8}\end{aligned}$

$\begin{aligned}&x=\frac{-44+56}{8} \text { or } x=\frac{-44-56}{8}\\\\&x=\frac{12}{8} \text { or } x=\frac{-100}{8}\\\\&x=1.5 \text { or } x=-12.5\end{aligned}$

Since "x" cannot be negative,

we get x = 1.5

Thus width of border is 1.5 feet

4 0

3 years ago

A set of equations is shown above. Which method eliminates one of the variables? A) Multiply equation A by -1/3 and add the resu

Paraphin [41]

Answer:

Step-by-step explanation:

Multiplying Equation A by (1/3) and adding the result to Equation B will do the trick. Let's actually solve the problem!

Equation A: (5/3)x + 3y = 12

Equation B: 4x - 3y = 8

---------------------------

(5/3 + 12/3)x = 15 Note how this has eliminated the variable

(17/3)x = 15 y.

x = (3/17)(15)

8 0

3 years ago

When you draw a multi-phase sample ____. Group of answer choices

notsponge [240]

Answer:

The correct answer is letter "B": You use information from a first sample for collecting a subsequent subsample for further study.

Explanation:

Multi-phase sampling is a strategy by which a large number of data under study is taken, then a subsample of that pool is taken, and after that, another smaller subsample is taken in an attempt to count with samples that best might represent the whole population. Usually, the process takes collecting two different samples, but it can be applied as many times as necessary.

8 0

3 years ago

True or False: The FOIL method is an example of the distributive<br> property.

vova2212 [387]

Answer:

True

Step-by-step explanation:

7 0

2 years ago

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X² -6 = 5x what is x squared minus six equals five x