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4 years ago

I need some help with this question was on my math homework

Mathematics

2 answers:

Hitman42 [59]4 years ago

7 0

Answer:

Step-by-step explanation: It's the only equation that uses 3 sections, functions, or whatever you want to call them

alexandr402 [8]4 years ago

6 0

It would be number three because it has three terms.

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Find the solution(s) for x in the equation below. x^2 + 10x + 21= 0

Law Incorporation [45]

The solutions for ‘x’ in the given equation are – 3 and - 7

<u>Step-by-step explanation:</u>

Given equation:

$x^{2} + 10 x + 21 = 0$

To find the ‘x’ value, try to factor, because in this case it works, it's fast. By using factor method, we get

(x + 3) (x + 7) = 0 (adding both value we get 10 and multiply as 21 as in equation and check with signs also while factoring)

x = - 3, -7

Verify above values by multiply both terms,

(x + 3) (x + 7) = 0

$x^{2} + 7 x + 3 x + 21 = 0$

$x^{2} + 10 x + 21 = 0$ (so values obtained from factor method are correct)

Or, can use quadratic formula, for $a x^{2} + b x + c=0$ , the solutions are given by:

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

In the given equation, a = 1, b = 10, c = 21, apply these in above formula

$x=\frac{-10 \pm \sqrt{10^{2}-(4 \times 1 \times 21)}}{2(1)}=\frac{-10 \pm \sqrt{100-84}}{2}$

$x=\frac{-10 \pm \sqrt{16}}{2}=\frac{-10 \pm 4}{2}$

So,

When $x=\frac{-10+4}{2}=\frac{-6}{2}=-3$

When $x=\frac{-10-4}{2}=\frac{-14}{2}=-7$

Hence, the values for ‘x’ are - 3 and - 7

7 0

3 years ago

The aspect ratio (the ratio of screen width to

Strike441 [17]

Answer:

$Width = 36in$

$Size = 42.02$

Step-by-step explanation:

Given

$x \to width$

$y \to height$

$x : y = 16 : 9$

Required

The size of $screen$ of height $20,6in$

First, we calculate the width using the following equivalent ratios

$16: 9 = x : 20.6$

Express as fraction

$\frac{16}{ 9} = \frac{x }{ 20.6}$

Solve for x

$x = 20.6 * \frac{16}{ 9}$

$x = 36.62$

Hence:

$Width = 36in$ --- approximated

So, we have:

$x = 36.62$

$y =20.6$

The size (diagonal) is then calculated using:

$Size = \sqrt{x^2 + y^2$

$Size = \sqrt{36.62^2 + 20.6^2$

$Size = \sqrt{1765.3844$

$Size = 42.02$

$Size =42in$ --- approximated

5 0

3 years ago

Luther evaluated 2 to the power of 3 as 9 and wade evaluated 3 to the power of 2 as 9 are both students correct explain why or w

Dmitry_Shevchenko [17]

Answer:

Luther is wrong

Wade is right

Step-by-step explanation:

Luther's case 2^3 = 2x2x2 = 8

Wade's case 3^3 = 3 x 3 = 9

7 0

3 years ago

Read 2 more answers

What is the value of x? Round the answer to the nearest tenth. The diagram is not drawn to scale.

pshichka [43]

X = 50

Reason: Chord AB and Chord CD are equal.

7 0

3 years ago

Read 2 more answers

Justin invested $7,300 in an account paying an interest rate of 1.5% compounded

lana [24]

Answer: 10.7 years.

Step-by-step explanation:

7,300 * (1 + 0.015)^x = 8,560 <=>

7,300 * 1.015^x = 8,560 <=>

1.015^x = 8,560 / 7,300 <=>

1.015^x = 1.1726 <=>

x = 10.694

To the nearest tenth:

x = 10.7 years

8 0

3 years ago

I need some help with this question was on my math homework ​

I need some help with this question was on my math homework