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2 years ago

4.

Mathematics

1 answer:

Elza [17]2 years ago

5 0

Answer:

Step-by-step explanation:

(50 cm (centimeters))/(20 mm (millimeters))

Result:

25 m/m (meters per meter)

2500%

Unit conversions:

15.53 mi/km (miles per kilometer)

25 mi/mi (miles per mile)

25 squares

Interpretation:

length ratio

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when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

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

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

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

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

We have asked negative solution. So a = -1

Thus the negative solution is -1

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2 years ago

Solve −x+5≤4 or 2x+3≥−1 and write the solution in interval notation.

serg [7]

Answer:

Step-by-step explanation:

$\left \{ {{-x+5\leq 4} \atop {2x+3\geq -1}} \right.$ ⇒ $x\geq 1\\2x\geq 4\\x\geq -2$

$x \geq -2\\(-2,+ { \infty} )$ (Answer)

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1 year ago

A salesman gets a commission of 2.4% on sales up to sh. 100,000. He gets an additional commission of 1.5% on sales above this. C

emmainna [20.7K]

Answer:

Sh. 10,920

Step-by-step explanation:

Since the sales is above sh. 100,000,his commission is (2.4+1.5) 3.9%.

3.9% of 280,000= 10920.

Therefore, his commission is sh. 10,920

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3 years ago

Write the expression as a square of a binomial: 9/25a^6b^2-a^4b^4+25/36a^2b^6

OlgaM077 [116]

answer below,

<h2>Hope this helps :></h2><h2 /><h2>From Cambridge</h2><h2 /><h2>please give brainliest!</h2>

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2 years ago

Solve the system of equations by graphing. -x+y = -2 y = -1

Aleks04 [339]

Answer:

the solution is (9, -1).

Step-by-step explanation:

graph the two equations on a graphing calculator (i use a website called desmos) and the point of intersection is the solution.

i hope this helps! have a great day <3

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2 years ago