Complete the equation a^1/2×a___=a

Answers

Answer 1

Answer: When adding functions with the same base you simply add the exponents so:
$a^(1/2)*a^(x) = a^(1)$
$(1)/(2)+x = 1$
$x = (1)/(2)$

Thus to finish the equation you would say $a^(1/2)$

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Which angles are alternate interior angles?

Answers

Answer:

THE ANSWER IS

<UTW and <XWY

THANKU

Convert 386 milligrams to grams.

0.386 g
3.86 g
38.6 g
3,860 g

Answers

g= mg/1000
x g= 386mg/1000
x = 0.386g

Answer:

I think it's A. Hope this help's!

During a recent winter, the ratio of deer to foxes was 7 to 3 in a town. If there was 210 foxes in the town, what was the number of deer in the town?

Answers

$(7)/(3) = (x)/(210)$
Cross multiply and get 1470/3
Your final answer is 490 deer.

Help, 3+7x=12, what is x?

Answers

So just your normal equation.
We need to isolate x alone.
First lets write out our equation
3 +7x = 12

Lets do this step by step.

first subtract 3 from both sides.
3 + 7x = 12
-3 = -3 it cancels out on the left side and we solve on the right side.
*************
7x = 9

second we divide both sides by 7
7x = 9
÷7 = 7 we got the x alone and we just write 9/7 as our answer.

x = 9/7

Or as a decimal.
9/7 could be 1.28571428571429

Either will work.
x = 9/7
or
x = 1.28571428571429

Have a nice day. :)

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,

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

The above equation is in the vertex form with $a=2$ , $h=-(1)/(4)$ and $k=-(9)/(8)$ .

Therefore, its axis of symmetry is given as,

$\begin{aligned}x&=h\nx&=-(1)/(4)\end{aligned}$

The graph of function $f(x)=2x^(2)+x-1$ is shown in Figure 1.

The second 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 second function is $x=(1)/(4)$ .

The third function is given as follows:

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

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

Then its axis of symmetry is calculated as,

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

The axis of symmetry of third function is $x=-1$ .

The fourth function is given as follows:

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

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

Then its axis of symmetry is calculated as,

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

The axis of symmetry of fourth function is $x=1$ .

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

Learn more:

1. A problem on graph brainly.com/question/2491745

2. A problem on function brainly.com/question/9590016

3. A problem on axis of symmetry brainly.com/question/1286775

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Functions

Keywords:Graph, function, axis, f(x), 2x^2+x-1, axis of symmetry, symmetry, vertex, perfect halves, graph of a function, x =- 1/4.

Write 19/24 as a decimal rounded to the nearest tenth

Answers

Answer:

The answer is $0.8$

Step-by-step explanation:

Firstly, you have to know the position of the tenth decimal.

Give a decimal number, for example, $114.325$

The position of the tenth decimal places to the right of the decimal point. In this case, the number 3 is in the position of the tenth place.

Also, you have to know how to round a decimal number. The rule says:

If you want to round a number with a n-decimal digits, you have to see the position n+1-decimal digit:

If this number is equal or greater than 5, you have to increase the n-decimal digit to the next whole number.

If this number is lesser than 5, you have to decrease the n-decimal digit to the previous whole number.

Using the example $114.325$

If we want to round the decimal number to the nearest tenth, the next digit is a 2, so we dont increase the number 3. So the decimal number is 114.3

Finally, responding your question,

First you have to represent the fraction number into decimal number.

$(19)/(24) =0.791666$

The nearest tenth is the first decimal digit: 7

The next number is a 9, so if we want to round to the nearest tenth, we will have to increase the number 7 to the next whole number: 8

The final answer is $0.8$

The calculated division of the numbers 19/24 into a decimal number is 0.8

How to calculate the division of the numbers

From the question, we have the following parameters that can be used in our computation:

19/24 into a decimal number

When represented as an equation, we have

19/24 into a decimal number = 19/24

Expand

19/24 into a decimal number = 19/24

Divide 19 by 24

So, we have the following result

19/24 into a decimal number = 0.79166666666

Approximate to the nearest tenth

19/24 into a decimal number = 0.8

Using the above as a guide, we have the following:

the result is 0.8