Solve 2x2 – 6x + 10 = 0 by completing the square.

Answer:

Left

Step-by-step explanation:

When x is being added to inside the parenthesis, it is being moved left.

Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.

0.3

Answer:

x=160°

since the sum of angles of the shape measures 540°

by summing up the values, we have

3x=480 divide both sides by 3

x=160°

Answer:

Step-by-step explanation:

[tex]Sum\:of\:angles\: = 540\\\\\frac{1}{2}x +\frac{1}{2} x +(x-15)+(x-25)+100=540\\\\=\frac{1}{2}x+\frac{1}{2}x+x-15+x-25+100=540\\\\Group\: like \:terms\\\frac{1}{2}x+\frac{1}{2}x+x+x-15-25+100=540\\\\Add\:similar\:elements \::\frac{1}{2}x+\frac{1}{2}x=2\times\frac{1}{2}x\\2\times\frac{1}{2}x+x+x-15-25+100=540\\\\Simplify\\x+2x-15-25+100=540\\Simplify\\3x +60 = 540\\\\3x = 540-60\\3x = 480\\Divide \:both\:sides\:of\:the\:equation \:by\:3\\\\\frac{3x}{3} = \frac{480}{3}\\ x =160[/tex]

Answer:

A) the addition property of equality and then the division property of equality

Step-by-step explanation:

I just did it hope this helps! :)

The addition property of equality and then the division property of equality is the sequence which describes the inverse operations used

for steps 2 and 3 to solve the linear equation

Two or more expressions with an Equal sign is called as Equation.

The given Linear equation is -1/2 (6x + 10) = 13

Minus one by two times of six x plus ten equal to thirteen

Step 1: –3x – 5 = 13

By addition property we add +5 on both the sides

Step 2: –3x = 18

By division property we divide both sides by -3

Step 3: x = –6

Hence, the addition property of equality and then the division property of equality is the sequence which describes the inverse operations used

for steps 2 and 3 to solve the linear equation

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

-2b+8c-7a-14

Step-by-step explanation:

You first combine like terms to simplify.

Let's start with the smallest prime number 2

60/2 = 30

Divide that result over 2

30/2 = 15

We can't divide this by 2 because 15/2 = 7.5 isn't a whole number

Let's move onto 3

15/3 = 5

The result is a prime number, so we stop.

The values we divided as denominators were: {2, 2, 3}

We add the result 5 to the set to completely list all of the prime factors of 60

The prime factorization would be

which is the same as saying

Answer:

15k+88-8k

7k+88 is the solution

Answer:

Look below

Step-by-step explanation:

THe screenshot is proof

Answer:

$5.50 + $10.50 = $16

Step-by-step explanation:

6a + 5b = $34

2a + 3b = $16

...Solving by elimination

6a + 5b = 34

-3(2a + 3b = 16)

-4b = -14

b = 14/4 0r $3.50, cost of each pound of jelly beans.

a,cost of each pound of almonds = $2.75  %2816-+3%283.50%29%29%2F2+=+2.75

...checking Using:

2a + 3b = $16

$5.50 + $10.50 = $16

Answer:

-12

Step-by-step explanation:

Since we want to find g(9), we will use the function g(x):

[tex]g(x)=-2x+6[/tex]

Substitute:

[tex]g(9)=-2(9)+6[/tex]

Multiply:

[tex]g(9)=-18+6[/tex]

Add:

[tex]g(9)=-12[/tex]

So, our answer is -12 :)

Answer/Step-by-step explanation:

To simplify the given expressions that involves negative exponent, recall the law of exponents that deals with simplifying negative exponent.

Thus: [tex] a^{-x} = \frac{1}{a^x} [/tex]

Ally this rule in solving the given problem as follows:

Red blood cell = [tex] 125,000^{-1} = \frac{1}{125,000^1} = \frac{1}{125,000} = 0.000008 = 8*10^{-6} [/tex]

White blood cells = [tex] 3(500)^{-2} = 3(\frac{1}{500^2}) = 3(\frac{1}{250,000}) = 3*0.000004 = 0.000012 = 1.2*10^{-5} [/tex]

Platelet = [tex] 3(1000)^{-2} = 3(\frac{1}{1,000^2}) = 3(\frac{1}{1,000,000}) = 3*0.000001 = 0.000003 = 3*10^{-6} [/tex]

Answer:

( p - 4 ) ( p - 12 ) = 0

Step-by-step explanation:

To factor this equation, let's apply the quadratic formula.

p^2 - 16p + 48 = 0

Let a = 1, b = -16, c = 48

[-b +/- sqrt(b^2 - 4(a)(c))] / 2 (a)

[- (-16) +/- sqrt( (-16)^2 - 4(1)(48)) ] / 2 (1)

= [ 16 +/- sqrt( 256 - 192) ] / 2

= [ 16 +/- sqrt(64) ] / 2

= [16 +/- 8] / 2

p = (16 + 8) / 2 ; p = (16 - 8) / 2

p = 24 / 2  ; p = 8 / 2

p = 12  ;  p = 4

Hence, this equation factors into the following:

( p - 4 ) ( p - 12 ) = 0

Cheers.

Answer:

247+13=260

Step-by-step explanation:

Answer:

43.822

Step-by-step explanation:

67.5

- 23.678

43.822

Answer:

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = -3, and a number in scientific notation with a negative exponent is less than 1.

Step-by-step explanation:

The question lacks appropriate option. Find the options below;

A. The value will be greater than 1 because 4.296 x 10^11 is a very large number and multiplication always increases the size of a number.

B. The value will be greater than 1 because 4 x 2 = 8 and 8 is larger than 1.

C. The value will be less than 1 because (4.296 x 10^11) x (1.8614 x 10^-14) will be a negative number. All negative numbers are less than one.

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = 3, and a number in scientific notation with a negative exponent is less than 1.

Given the expression [tex](4.296*10^{11})(1.8614*10^{-14})[/tex], to expand the expression we will apply some of the law of indices below. If a, b and m are integers

[tex]a^m*a^n = a^{a+m}[/tex]

[tex]= (4.296*10^{11})(1.8614*10^{-14})\\\\= (4.296*1.8614)(10^{11}*10^{-14}) \\\\= 7.9965744 * 10^{11}*10^{-14}\\sum \ up \ the\ power\ of\ the \ exponents\\\\= 7.9965744 *10^{11-14}\\\\= 7.9965744 *10^{-3}\\[/tex]

= 0.0079965744

Based on the result, it can be seen that the resulting value is less than 1 due to the negative power of its exponent (i.e -3). Any scientific notation having a negative exponent always returns a value that is less than 1.

Answer:

The number will be less than 1 because when adding the exponents, 11 + (negative 14) = negative 3, and a number in scientific notation with a negative exponent is less than 1.

Step-by-step explanation:

Took the quiz (:

Answer:

6( X + 3 ) = 36

6X + 18 = 36

6X = 36 - 18

X = 18 ÷ 6

X = 3

Thus, the value of X is 3.

Hope it helps,

Thank You.

Answer:

Step-by-step explanation:

6x +18=36

6x+18-18=36-18

      6x=18

6x divide by 6 =18 divide 6

                       x=3

hope this helps please mark brainliest

Answer:

At my school 20 people boys and girls play soccer

Answer:

It will be -54X

Answer:

c

Step-by-step explanation:

Answer:

C (I think)

Step-by-step explanation:

(Sorry in advanced. I haven't done this stuff in a while.)

It's basically asking for the numbers in between each number. Thing is that the symbols on each end makes all numbers positive. Looking at the graphs, there are none with all positives.

I'm very sorry if this isn't right but I believe its the correct answer. Tell me if it is!

Answer: 60

Step-by-step explanation: 1/3 of 180= 60

Answer:

Perform an experiment

Step-by-step explanation:

The experiments state that it is the test which is to be carried to confirm or refute the hypotheses they had about a specific subject. Therefore, the study findings will be based on the outcome of these experiments.

Now, according to the given situation, an analysis of the impact of potato chips on the human digestive system with fat replacement is refer to perform an experiment.

So, the right answer is to perform an experiment.

Answer:

it is arithmetic

Step-by-step explanation:

moves up by 7

Answer:

[tex]f(g(1))=11[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=2x+7\text{ and } g(x)=-3x+5[/tex]

And we want to find f(g(1)).

So, let's find g(1) first:

[tex]g(x)=-3x+5[/tex]

Substitute 1 for x:

[tex]g(1)=-3(1)+5[/tex]

Simplify:

[tex]g(1)=-3+5[/tex]

Add:

[tex]g(1)=2[/tex]

So:

[tex]f(g(1))=f(2)[/tex]

Now, substitute 2 for x in f(x):

[tex]f(x)=2x+7\\f(2)=2(2)+7[/tex]

Multiply:

[tex]f(2)=4+7[/tex]

Add:

[tex]f(2)=11[/tex]

So:

[tex]f(g(1))=11[/tex]

Answer:

250 m

Step-by-step explanation:

Let the total length be x m.

[tex] \therefore \: \frac{3}{5} \times x = 210 \\ x = 210 \times \frac{5}{3} \\ x = 70 \times 5 \\ x = 350 \: m \\ \\ \frac{5}{7} \times x = \frac{5}{7} \times 350 = 5 \times 50 = 250 \: m[/tex]

Answer:

$12.72 or $25.44

Step-by-step explanation:

if he buys 2 tickets that are $12 each. half of 12 is 6 so you will have to pay 12 plus tax(6%). to find tax you would multiply 12 x .06 which would be $12.72. if it say the tickets are half off from $24 being $12 each then the answer would be $25.44. the question  dosent specify that.

hope i helped

Answer:

[tex][15: (3 \times 5) + 4] \times 8[/tex]

Step-by-step explanation:

First of all, let us have a look at the rule for solving brackets/parentheses/algebraic operations.

The rule states that the expression must be solved in the following order:

B - Brackets (Innermost parentheses first, then the enclosing brackets are solved)

O - Of (for example 10% of 20)

D - Divide operation

M - Multiplication operation

A - Addition operation

S - Subtraction operation

So, we need to add a set of parentheses i.e. () and a set of brackets i.e. [] in the expression:

[tex]15: 3 \times 5 + 4 \times 8[/tex] such that the result is 40.

Consider the expression: [tex][15: (3 \times 5) + 4] \times 8[/tex]

Let us try to solve the expression using the above rule:

[tex][15: (3 \times 5) + 4] \times 8[/tex]

First of all, the innermost () will be solved:

[tex](3\times 5) = 15[/tex]

Now, the expression becomes:

[tex][15: 15 + 4] \times 8[/tex]

Now, 15:15 will be solved as 1

[tex][1+ 4] \times 8[/tex]

Now, the outer [] will be solved:

[tex]5\times 8 = 40[/tex]

Hence, the correct answer is:

[tex][15: (3 \times 5) + 4] \times 8[/tex]

Answer:

[tex]x=13[/tex]

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

[tex]P=2l+2w[/tex]

Where l is the length and w is the width.

We know that the perimeter is 80. Looking at the rectangle, we can also see that the length is 2x+3 while the width is x-2. Thus, make the substitutions:

[tex]P=2l+2w\\80=2(2x+3)+2(x-2)[/tex]

Distribute:

[tex]80=4x+6+2x-4[/tex]

Combine like terms and add:

[tex]80=6x+2[/tex]

Subtract 2 from both sides:

[tex]78=6x[/tex]

Divide both side by 6:

[tex]x=13[/tex]

Thus, the value of x is 13.

Answer:

x=39

Step-by-step explanation:

Answer:

option A is correct answer

Answer:

4x + 2x = 90 NOT 180.

Step-by-step explanation:

x = 15 is the correct answer.

Answer:

[tex]\sqrt{45}[/tex]

Step-by-step explanation:

We can use the distance formula to find the distance between these two points. The distance formula is:

[tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

We know that x1 is 6, x2 is 3, y1 is -2, and y2 is 4, so we can substitute inside the equation.

[tex]\sqrt{(3 - 6)^2 + (4 - (-2))^2} \\\\\sqrt{-3^2 +6^2} \\\\\sqrt{9 +36}\\\\\sqrt{45}[/tex]

Hope this helped!