why
[tex] \frac{1}{ \sqrt{3 } - 1} \times \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1} = \frac{1 + \sqrt{3} }{2} [/tex]
why not 1+✓3 ?

​

Answer:

f(3) =6

Step-by-step explanation:

[tex]f(x) =x^2 -x\\\\f(3) = ?\\\\f(3) = (3)^2 -3\\f(3) = 9-3\\f(3) =6[/tex]

Answer:

[tex]\huge \boxed{\sf{f(3)=6}}[/tex]

Step-by-step explanation:

[tex]\sf f(x)=x^2-x[/tex]

For f(3), the input or x value is 3.

[tex]\sf f(3)=3^2-3[/tex]

Evaluate the expression.

[tex]\sf f(3)=9-3[/tex]

[tex]\sf f(3)=6[/tex]

Answer:

first term a1 is -40.

Step-by-step explanation:

in an arithmetic series,

sum of first term terms (S10) = -20

Common difference (d) = 4

first term (a)= ?

number of terms (n)= 10

now,

S10 =( n÷2) [a1 +(n-1) d]

or, -20 = (10÷2) [a1 + (10-1) 4]

or, -20 = 5 ( a1 + 36)

or, -4 = a1 + 36

or, a1 = -40

[tex]\blue\star[/tex]s10 = -20

[tex]\blue\star[/tex]n = 10

[tex]\blue\star[/tex] an = -20

[tex] \green\star[/tex] solution

[tex] \green\star[/tex]s10 = n\2 [a+(n-1)d]

[tex] \green\star[/tex]-20 = 10a2[a+(10-1)4]

[tex] \green\star[/tex]-4 = a +36

[tex] \green\star[/tex]a1 = -40

[tex]\small\boxed{a = -40}[/tex]

Hope it helps.

Hope it helps

Answer:

d =32

Step-by-step explanation:

[tex]\sqrt{7d+1}-4=11\\\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\\sqrt{7d+1}-4+4=11+4\\\\Simplify\\\sqrt{7d+1}=15\\\\\mathrm{Square\:both\:sides}:\quad 7d+1=225\\7d+1=225\\\\\mathrm{Solve\:}\:7d+1=225:\\\quad d=32[/tex]

Answer:

d = 32

Step-by-step explanation:

[tex]\sqrt{7d-1} -4+4=11+4[/tex]

[tex]\sqrt{7d-1} =15[/tex]

[tex]7d+1=15 *15[/tex]

[tex]7d+1=225[/tex]

[tex]7d=225-1[/tex]

[tex]7d=224[/tex]

[tex]d=\frac{224}{7}[/tex]

[tex]d=32[/tex]

Step-by-step explanation:

-3a + 20 = 3a + 20

-6a + 20 = 20

-6a = 0

a = 0

Answer: a=0

Step-by-step explanation:

Given

3a-6a+20=8a+24-5a-4

Combine like terms on both sides

-3a+20=3a+20

Subtract 3a on both sides (subtractive property of equality)

-6a+20=20

subtract 20 on both sides (subtractive property of equality)

-6a=0

Divide -6 on both sides (division property of equality)

a=0

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

8

Step-by-step explanation:

It went from 7 to 15?

Answer:

The three greatest are -3, -4, -5

Step-by-step explanation:

7x < 2x - 13

Subtract 2x from each side

7x-2x < 2x-2x - 13

5x < -13

Divide by 5

5x/5 < - 13/5

x < - 2 3/5

Since x is an integer

-3 is the largest integer that fits the inequality

The three greatest are -3, -4, -5

Answer:

Percent error = 2%

Step-by-step explanation:

Given:

Expected value = 250

Actual value = 255

Find:

Percent error

Computation:

Percent error = [(Actual value - Expected value)/Expected value]100

Percent error = [(255 -250) / 250]100

Percent error = 2%

Answer:

Its 6% because |E−T||T|×100

=(250−235)|235|×100

=15235×100

=0.0638298×100

=6.38298%

=6.38298%error

Step-by-step explanation:

Answer:

80 and 83.6660026534

Step-by-step explanation:

The square root of 6400 is 80 and the square root of 7000 is 83.6660026534 so it would be between these two.

Answer:

12

Step-by-step explanation:

M is in the middle between S and T we know 2x+6 has to be the same as 3x+3 if 3x is one more x then 2x then we do 6-3 that eqauls 3 so X=3 and 2*3=6 and 6+6= 12.

Hey there! :D

Answer:

[tex]\huge\boxed{SM = 12}[/tex]

SM = 2x + 6

MT = 3x + 3

M is the midpoint of SM

Write an expression to represent the length of ST:

ST = SM + MT

ST = 2x + 6 + 3x + 3

Combine like terms:

ST = 5x + 9

Since ST = 2(SM), set up another equation:

5x + 9 = 2(2x + 6)

5x + 9 = 4x + 12

Isolate the "x" variable:

5x - 4x = 12 - 9

x = 3.

Substitute in this value of "x" into the equation for SM:

2(3) + 6 = 12.

Answer:

96 minutes.

Step-by-step explanation:

17 miles = 204 minutes

1 mile = ?

204/17 = 12 minutes

1 mile = 12 minutes

8 miles = ?

8 × 12 = 96 minutes

It would take Liset 96 minutes to run 8 miles.

Answer:

Hey there!

3y=-4x+6

y=-4/3x+2

Thus, the slope is -4/3.

Hope this helps :)

Answer:

the slope is -4/3

Step-by-step explanation:

3y = -4x + 6

y=-4/3 x +6/3

y=-4/3 x+2

the slope is -4/3

Answer:

m+p/2=n

Step-by-step explanation:

You can't get any other multiplication factor, so the only way is to isolate n, by adding p to m and dividing by 2

Answer:

106

Step-by-step explanation:

Sksjwisjsjsoansnsan just to get points so give it a thanks thing ty

Answer:

x=11.5hours

Step-by-step explanation:

661.25miles÷57.5mph=11.5hours

Answer:

1/3

Because 1/3 if divide into two, it'll be 0.5/3 but if the question says that the answer have to be in whole number, that means it must be 1/6.

Answer:12

Step-by-step explanation:

because it will take 2 to make a cup

Answer: Cada chico recibira 5.25

Answer:

10 seconds

Step-by-step explanation:

Distance = 200 m

Velocity = 20m/s

Time =?

[tex]time = \frac{distance}{velocity} \\ time = \frac{200m}{20m/s} \\ time = 10 \: seconds[/tex]

Answer:

y = 2x² + 3x - 9

Step-by-step explanation:

Given αβ = - [tex]\frac{9}{2}[/tex] = [tex]\frac{c}{a}[/tex]

and α + β = - [tex]\frac{3}{2}[/tex] = - [tex]\frac{b}{a}[/tex]

Then a = 2, b = 3 and c = - 9, thus

y = 2x² + 3x - 9

Answer:

1.999396

Step-by-step explanation:

square of 1.414=1.999396

square root of 1.999396=1.414

Answer:

  use your compass to copy the length to a new line

Step-by-step explanation:

To make a line segment that has the same length as another, set your compass width to the length of the one you want to copy, and use that to mark the length on the line where you want your copy.

Use a straightedge to draw a line longer than JK.

AD is congruent to JK.

Answer:

The answer is below

Step-by-step explanation:

An equation is a mathematical statement that shows the equality between two expressions.

From the table, the average weight of the hamster at birth is 2 grams. The average weight of gerbil at birth is 2/3 of that of hamster. Let g represents the weight of the gerbil at birth, hence the weight can be gotten by solving the equation:

2/3 of hamster weight at birth = Average weight of gerbil at birth

2/3 × 2 grams = g

g = 2/3 × 2 grams = 4/3 grams = 1.33 grams

The average weight of gerbil at birth = 1.33 grams

Answer:

Step-by-step explanation:

In a tent, there are nine boys.

There were five tents.

5 tents containing 9 boys can equal 45 boys.

(5 x 9 = 45)

In a cabin, there are seven boys.

There were four cabins.

4 cabins containing 7 boys can equal 28 boys.

(4 x 7 = 28)

Now, to find all the boys, add the numbers together.

28 boys with 45 boys will equal 73 boys.

Please check my answer for no one, not even me is right.

Good luck :)

Answer:

the value of <BAC= 30° ...

Answer:

6 yards

Step-by-step explanation:

a³ = 216

a = ∛ 216

    = 6 yards

Answer:

6 yards

Step-by-step explanation:

The volume of a cube can be found using the following formula.

[tex]v= s^3[/tex]

We know the volume is 216 cubic yards, so we can substitute 216 yd³ in for v.

[tex]216 yd^3=s^3[/tex]

We want to find the side length. Therefore, we must isolate the variable, s, on one side of the equation.

s is being cubed. The inverse of cubed is the cube root. Take the cube root of both sides of the equation.

[tex]\sqrt[3]{216 yd^3}=\sqrt[3]{s^3}[/tex]

[tex]\sqrt[3]{216yd^3}=s[/tex]

[tex]6yd=6[/tex]

The side length of the cube is 6 yards.

Answer:

[tex] {r}^{2} + \: 2[/tex]

Step-by-step explanation:

Let the no. be r . It's square will be r^2 .

When r^2 is added with 2 , then it's sum is r^2 + 2

Answer:

1.691

Step-by-step explanation:

.971 + .72

Answer:

1.691

Step-by-step explanation:

What number is 0.72 more than 0.971?

To solve your question, you're gonna have to add the two numbers together.

[tex]0.72+0.971[/tex]

  0.971

+0.72

_______

          1

  0.971

+0.72

_______

        91

  0.971

+0.72

_______

     691  

  1

  0.971

+0.72

_______

   1.691

So your answer is

[tex]1.691[/tex]

Hope this helped!

Answer:

9 cups

Step-by-step explanation:

1 quart= 4 cups

4 quart= ? cups  (crisscross)

4 quart=16 cups

16-7= 9 cups

Answer: 130°

Step-by-step explanation:

supplementary angle: ∠A+∠B=180°

x+(2x+30)=180

x+2x+30=180

   3x+30=180

          3x=150

            x=50

2(50)+30=100+30=130°

Hope this helps!! :)

Please let me know if you have any question

Answer:

addition property of equality

inverse property of multiplication

Step-by-step explanation:

7y − 15 = −29

Add 15 to each side using the addition property of equality

7y -15+15 = -29+15

7y = -14

Divide each side by 7 using the inverse property of multiplication

7y/7 = -14/7

y =2

Answer:

[tex]\Large \boxed{\mathrm{Addition \ Property \ of \ Equality}} \\\\\\ \Large \boxed{\mathrm{Inverse \ Property \ of \ Multiplication}}[/tex]

Step-by-step explanation:

[tex]\sf 7y-15=-29[/tex]

Using the additive property of equality, we add 15 to both sides of the equation.

[tex]\sf 7y-15+15=-29+15[/tex]

[tex]\sf 7y=-14[/tex]

Using the inverse property of multiplication, we divide both sides of the equation by 7.

[tex]\displaystyle \sf \frac{7y}{7} =\frac{-14}{7}[/tex]

[tex]\sf y = -2[/tex]