Evaluate: 20 - {3 × 8 - 5 - (3 - 25 ÷ 5)}

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

To evaluate the expression 20 - {3 × 8 - 5 - (3 - 25 ÷ 5)}, follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right):

Inside the innermost parentheses, we have:

3 - 25 ÷ 5

= 3 - 5

= -2

Now, the expression becomes:

20 - {3 × 8 - 5 - (-2)}

Next, perform the multiplication and subtraction inside the innermost braces:

3 × 8 = 24

5 - (-2) = 5 + 2 = 7

The expression becomes:

20 - {24 - 7}

Continue inside the braces:

24 - 7 = 17

Now, the expression becomes:

20 - 17

Finally, subtract:

20 - 17 = 3

So, the value of the expression is 3.

Answer 2

Answer:

Following the steps of the BODMAS rule, the expression simplifies to -1.

The question involves arithmetic operations such as subtraction, multiplication, and division. The correct order of these operations is dictated by the BODMAS rule, which stands for Brackets, Orders (powers and square roots, etc.), Division and Multiplication (left-to-right), Addition and Subtraction (left-to-right).

According to this rule, begin by calculating within the deepest set of brackets: 25 ÷ 5 = 5. Your expression now becomes: 20 - {3 × 8 - 5 - (3 - 5)}, which simplifies to 20 - {3 × 8 - 5 - -2}. The next step is to calculate the multiplication: 24 - 5 - -2, which further simplifies to 20 - {24 - 5 + 2}, which becomes 20 - {21}, leading to a final result of -1.

Learn more about BODMAS rule here:

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Help on a question geometry

Answers

2log 3 = log 3^2 = log 9 ;
log 5 + 2log 3 = log 5 + log 9 = log( 5 * 9 ) = log 45 ;
log ( x - 12 ) = log 45;
x - 12 = 45 ;
x = 12 + 45 ;
x = 57 ;
But, x - 12 > 0;
And, 57 - 12 > 0 ;
The solution is 57 .

$D:x-12>0\nD:x>12\n\log_3(x-12)=\log_35+2\log_33\n\log_3(x-12)=\log_35+\log_33^2\n\log_3(x-12)=\log_35+\log_39\n\log_3(x-12)=\log_3(9\cdot5)\n\log_3(x-12)=\log_345\nx-12=45\n\boxed{x=57}$

The numbers of days of rain per month in San Diego, for a period of twelve months, are: 7, 7, 7, 5, 2, 1, 0, 0, 1, 3, 4, 6 What is the range of the data values?a. 4
b. 1
c. 7
d. 12

Answers

Hello there, and thank you for posting your question here on brainly.

Short answer: C. 7

Why?

To find the range, we have to take the highest and lowest numbers in the set and subtract them. The highest in the set is 7, and the lowest in the set is 0. Subtract the two. 7 - 0 = 7. 7 is your final answer.

Hope this helped you! ♥

Answer:7

Step-by-step explanation:

Am god

What's a equation for $150 dollars for 50 T-Shirts

Answers

150 devided by 50 = 30

Simplify the following expression. 4a^-2b

A.) b/4a^2
B.)4b/a^2
C.)1/4a^b2

Answers

ANSWER

The correct answer is B

$\frac{4b}{ {a}^(2) }$

EXPLANATION

The given exponential expression is

$4 {a}^( - 2) b$

We can rewrite this as,

$4b * {a}^( - 2)$

We need to simplify to obtain a positive index, so we apply the following property,

${a}^( - m) = \frac{1}{ {a}^(m) }$

This implies that,

$4b * {a}^( - 2) = 4b * \frac{1}{ {a}^(2) }$

This will finally simplify to,

$4b * {a}^( - 2) =\frac{4b}{ {a}^(2) }$

Therefore the correct answer is B

Answer:

B.)4b/a^2

Step-by-step explanation:

What does (-9)^-2 mean?

Answers

it means -9 times -9 all under 1 so
1/(-9^2)=(-9)^-2

so the answer is 1/81

The graph of which function has an axis of symmetry at x =-1/4 ?f(x) = 2x2 + x – 1

f(x) = 2x2 – x + 1

f(x) = x2 + 2x – 1

f(x) = x2 – 2x + 1

Answers

The graph of which function has an axis of symmetry at x = -1/4 is :

f(x) = 2x² + x – 1

Further explanation

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

D = b² - 4 a c

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

Let us now tackle the problem!

An axis of symmetry of quadratic equation y = ax² + bx + c is :

$\large {\boxed {x = (-b)/(2a) } }$

Option 1 :

f(x) = 2x² + x – 1 → a = 2 , b = 1 , c = -1

Axis of symmetry → $x = (-b)/(2a) = (-1)/(2(2)) = -(1)/(4)$

Option 2 :

f(x) = 2x² – x + 1 → a = 2 , b = -1 , c = 1

Axis of symmetry → $x = (-b)/(2a) = (-(-1))/(2(2)) = (1)/(4)$

Option 3 :

f(x) = x² + 2x – 1 → a = 1 , b = 2 , c = -1

Axis of symmetry → $x = (-b)/(2a) = (-2)/(2(1)) = -1$

Option 4 :

f(x) = x² – 2x + 1 → a = 1 , b = -2 , c = 1

Axis of symmetry → $x = (-b)/(2a) = (-(-2))/(2(1)) = 1$

Learn more

Solving Quadratic Equations by Factoring : brainly.com/question/12182022
Determine the Discriminant : brainly.com/question/4600943
Formula of Quadratic Equations : brainly.com/question/3776858

Answer details

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

Keywords: Quadratic , Equation , Discriminant , Real , Number

The graph of function $\boxed{f(x)=2x^(2)+x-1}$ has an axis of symmetry as $\boxed{x=-(1)/(4)}$ .

Further explanation:

The standard form of a quadratic equation is as follows:

$\boxed{f(x)=ax^(2)+bx+c}$

The vertex form of a quadratic equation is as follows:

$\boxed{g(x)=a(x-h)^(2)+k}$

Axis of symmetry is the line which divides the graph of the parabola in two perfect halves.

The formula for axis of symmetry of a quadratic function is given as follows:

$\boxed{x=-(b)/(2a)}$

The first function is given as follows:

$f(x)=2x^(2)+x-1$

The above function is in standard form with $a=2$ , $b=1$ and $c=-1$ .

Then its axis of symmetry is calculated as,

$\begin{aligned}x&=-(b)/(2a)\n&=-(1)/(2*2)\n&=-(1)/(4)\end{aligned}$

The axis of symmetry of first function is $x=-(1)/(4)$ .

Express the function $f(x)=2x^(2)+x-1$ in its vertex form,

$\begin{aligned}f(x)&=2x^(2)+x-1\n&=(√(2)x)^(2)+\left(2* √(2)x* (1)/(2√(2))\right)-1+\left((1)/(2√(2))\right)^(2)-\left((1)/(√(2))\right)^(2)\n&=\left(√(2)x+(1)/(2√(2))\right)^(2)-1-(1)/(8)\n&=\left[√(2)\left(x+(1)/(4)\right)\right]^(2)-(9)/(8)\n&=2\left(x-\left(-(1)/(4)\right)\right)^(2)-(9)/(8)\end{aligned}$