Put in simplest radical form: -√3 + 4√3

Answers

Answer 1

Answer:

  3√3

Step-by-step explanation:

You want the simplest radical form of -√3 + 4√3.

Like terms

We can consider these "like terms" in the sense that each is an integer multiple of √3. As such, they can be combined by combining coefficients.

  -√3 + 4√3 = (-1 +4)√3 = 3√3


Related Questions

XZ¯¯¯¯¯¯¯¯ has a point Y between points X and Z. XY=17, YZ=4x+9, and XZ=11x−9.

Answers

Applying the segment addition postulate, the value of x = 5.

What is the Segment Addition Postulate?

According to the segment addition postulate, if three lines, X, Y, and Z are collinear points, that is they lie on a straight line such that Y is between points X and Z, then the sum of the lengths of segments XY and YZ would be equal to the length of segment XZ.

Therefore:

XY + YZ = XZ [segment addition postulate]

Given:

XY = 17

YZ = 4x + 9

XZ = 11x − 9.

Substitute

17 + 4x + 9 = 11x - 9

26 + 4x = 11x - 9

26 + 9 = 11x - 4x

35 = 7x

35/7 = x

x = 5

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Write a quadratic function in standard form, with a leading coefficient of 1, given x-intercepts 7 and 10. Use "y" as the dependent variable
and "x" as the independent variable.

Answers

Standard form of quadratic function with leading coefficient 1,

x-intercept 7 and 10 and y as dependent variable and x as independent variable is equal to y = x² -17x +70.

As given in the question,

Given :

y is the dependent variable of the required quadratic function.

x  is the independent variable of the required quadratic function.

Leading coefficient of quadratic function is 1

X-intercept of the required function is 7 and 10

Standard form of required quadratic function is equal to

y = k (x-a)(x -b)

Here k=1 , a=7 , b=10

y = 1 (x -7)(x - 10)

⇒ y = x² -7x -10x +70

⇒ y= x² -17x +70

Therefore, standard form of quadratic function with leading coefficient 1, x-intercept 7 and 10 and y as dependent variable and x as independent variable is equal to y = x² -17x +70.

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At the end of a party, 3/4 cup of smoked fish dip is left. Jim divides 4/5 of the leftover smoked fish dip equally between 2 friends. How much dip does each friend get?

Answers

Each friend gets 3/10 or 0.3 dips if, at the end of a party, 3/4 cup of smoked fish dip is left.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let each freind get x part.

The 3/4 part dipped:

The value of x can be found as follows:

x = (3/4)(4/5) ÷ 2

x = 3/(5×2)

x = 3/10

x = 0.3

Thus, each friend gets 3/10 or 0.3 dips if, at the end of a party, 3/4 cup of smoked fish dip is left.

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Factor 3z^2(8z^2-14z+3)

Answers

Answer:

3z²(4z-1)(2z-3)

Step-by-step explanation:

Factor 8z²-14z+3

8z²-14z+3 = (4z-1)(2z-3)

So 3z² (8z²-14z+3)

= 3z²(4z-1)(2z-3)

Use the diagram to answer the question. 15 ft 120 ft2 10 ft A rectangular yard contains a 120-square-foot garden. If seeds are scattered uniformly over the yard, what is the probability that a seed lands in the garden?

Answers

area of the rectangle

[tex]\begin{gathered} \text{area}=\text{length}\times width \\ \text{area}=15\times10=150 \end{gathered}[/tex]

area of rectangle is 150 sq ft, therefore the probability that a seed lands in the garden is

[tex]\frac{area\text{ garden}}{area\text{ rectangle}}=\frac{120}{150}=\frac{4}{5}[/tex]

answer: 4/5

The Whistling Straits Corporation needs to raise $40 million to finance its expansion intonew markets. The company will sell new shares of equity via a general cash offering toraise the needed funds. If the offer price is $35 per share and the company'sunderwriters charge a 11 percent spread, how many shares need to be sold?

Answers

Solution

Explanation:

Total Finance Needed = $40,000,000

Offer price per share = $35 per share

Charges of underwriter = 11%

Total Number of shares needed to be sold = ( $40,000,000 / $35 ) x 111%

Total Number of shares needed to be sold = 1,142,857 x 111%

Total Number of shares needed to be sold = 1,267,571 shares

The Whistling Straits Corporation needs 1,267,571 shares to raise $40 million

how do i do square root of 24 on the simplified radical form

Answers

Re-write the question as :

[tex]\sqrt{24}[/tex]

This can further be written using factors of 24 as;

[tex]\sqrt{6\ast4}[/tex]

Separate as :

An equality that represents numbers that are not a solution of x-1.2>2.8

Answers

The solution is x> 4 or x ∈(4,∞)

Here equality given is

x - 1.2> 2.8

Rearrange the variable to the left side of the equation

x > 2.8 + 1.2

Calculate the sum

x > 4

Or we can also say

x ∈ (4,∞)

Therefore the range of x is x∈ (4,∞).

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Put the correct number in each box 1/7 = 4/? = ?/56

Answers

Answer: 1/7 = 4/28 = 8/56

Step-by-step explanation: 7 timestables

Answer:

1/7=4/28=8/56

Step-by-step explanation:

From the pattern of the question we can see that the numerator of the second fraction is 4 and the previous fraction's numerator is 1 that means the fraction has been multiplied by 4. Therefore multiplying the numerator and denominator results in the answer 4/28. For the last fraction we can see that the denominator is 56 and is the double of 28 therefore doubling the whole second fraction we get our answer as 8/56. Overall equating all the three fractions we get the same answer 1/7 after minimizing the fraction.

Username: TNakashrai

Find the intersection points of f(x) = (x + 7)(x - 5) and g(x) = x-5.
510

Answers

Answer:

-7

Step-by-step explanation:

all answers are in the picture

Evaluate. 0⁴= please

Answers

[tex]0^4=0\cdot0\cdot0\cdot0=0[/tex]

5/6x-2/3(x-2) + 1/2 please helppp

Answers

Answer:38

Step-by-step explanation:

I GIVE BRAINIEST

Does the equation y-250x=500 represent the same relationship between the distance from the start of the trail and the elevation? Explain your reasoning pls

Answers

The equation of a line with slope m and y-intercept b is:

[tex]y=mx+b[/tex]

Isolate y from the given equation to write it in slope-intercept form:

[tex]\begin{gathered} y-250x=500 \\ \Rightarrow y=250x+500 \end{gathered}[/tex]

The given equation corresponds to a line with slope 250 and y-intercept 500.

From the image, we can see that the y-intercept is indeed 500, since it is the value of y when x=0.

Notice also that for each increase of 1 unit of the variable x, the variable y increases 250 units. Then, the slope of the graph is 250, the same as the slope of the equation.

We can also check if the equation represents the same line as the graph by evaluating th

An automobile travels 415 miles on 16 2/3 gallons of gasoline.

a) How many miles per gallon does the car get on the trip? (Enter your answer as a simplified mixed number.)


b) How many gallons would be required for the car to travel 498 miles?

Answers

A. 24.9 mpg
B. 20 gallons

What is the range shown in the graph below ?

Answers

Take into account that the range are all availables values of the function, that is, available values of the y coordinate in the graph.

As you can notice, such values are in the following interval:

range: (-∞,8]

What must x equal if a ∥ b? Explain.

Answers

The value of x should be equal to 23

Given

Angle at the top is 86

also equation 3x + 17

The lines are parallel

We know if a transverse line is drawn across two parallel lines then 3 types of angles would form namely Corresponding angle, alternate angle, Opposite angle.

From the geometry  the angle 86 and the equations 3x + 17 are alternative angles.

Since alternative angles are equal 86 will be equal to 3x + 17

Now equating both

86 = 3x + 17

86 - 17 = 3x

69 = 3x

x = 23

Hence the value of x is equal to 23

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Answer: x=23

Step-by-step explanation:

Im not going to bore you with long algebra but basically 86-17=3x

69=3x inverse you get 23

Evaluate the expression when m = -4. M^2+6m+9

Answers

[tex]m^2\text{ + 6m + 9, where m = -4}[/tex][tex]\text{Replacing m by - 4, we have: -4}^2\text{ + 6 }\cdot\text{ -4 + 9}[/tex][tex]1\text{6 + 9 - 24 = 25 - 24 = 1}[/tex]

The answer is 1

the rest of the question say find the length of the whole secant of the bottom

Answers

According to the Intersecting Secants Theorem,

[tex]\begin{gathered} x\times6=(12+8)\times8 \\ 6x=20\times8 \\ x=\frac{80}{3} \\ x=26.\bar{66} \\ x\approx26.67 \end{gathered}[/tex]

Thus, the first option is the correct choice.

A right isosceles triangle has an area of 40.5 cm2. How tall is it?

Answers

Area = 40 cm^2

base = ?

height = x

Area = base * height / 2

bh = 2(40.5)

bh = 81 cm^2

81 3

27 3

9 3

3 3 height = 3 x3 x 3 base = 3

1

The height must be 27 cm and the base 3 cm.

Complete Complete the following tick -tac-toe board to find the three in a row there is only one correct way to make the tick-tac-toe, three in row! The code to unlock the puzzle will be the product of the three the following three puzzle Tic tac toe

Answers

Somebody said Complete the following tick-tac-toe board to find the three in a row - there is only one correct way to make the tick-tac-toe, three in rowl The code to unlock the puzzle will be the product of the three correct exponents: g10 (m2) y4.y5 g2 X: m12 X: yº X: 95 0: y20 0: gº O: m8 h-2 (m2)4.m5 jjjj X: 4j 0:j4 h-6 X: h4 O: h X: m11 0: m13 (b4)5 b2. b3 p3 = p X: p1.5 X: 515 O: 64 (k2)6 k7.k-5 X: k10 O: k6 0:p Code:

What is the answer with a posible fraction remainder3.8/21.85

Answers

The solution with a potential fraction remainder for the given fraction, 3.8/21.85, is 0.

How to find the remainder?

By shifting the decimal point 1 places to the right, you can convert the divisor 3.8 to a whole number. Then, move the decimal point in the dividend by one place to the right, keeping the same position.

what do you understand by remainder ?

The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). The remaining is the name for this amount.

These equations follow:

218.5 ÷ 38 = 5.750

because of this:

21.85 ÷ 3.8 = 5.750

To three decimal places, both calculations.

0 0 5. 7 5 0

3 8 √2 1 8. 5 0 0

     − 0          

      2 1        

     −   0

     2 1 8      

   − 1 9 0      

      2 8 5    

   − 2 6 6    

       1 9 0  

    − 1 9 0  

       0 0

     −   0

          0

The answer is 0.

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Can anyone answer this question fast?

Answers

Divide the ingredients to make 3 pizzas by 3:

Sauce = 15

15/3 = 5

Cheese = 12

12/3 = 4


To make 1 pizza you need 5 sauce and 4 cheese.

Multiply these ingredients by 7 to make 7 pizzas:

5*7 = 35
4*7 = 28

You need 35 sauce and 28 cheese

please help me solve. I have 81 for blank 1 and 9 for blank 2. it is incorrect

Answers

[tex]\sqrt[]{3\text{ }}\text{ x }\sqrt[]{27}[/tex]

We can further simplify

[tex]\sqrt[]{27}[/tex]

[tex]\begin{gathered} \sqrt[]{27}\text{ = }\sqrt[]{3\text{ x 9}} \\ \sqrt[]{27}\text{ = }\sqrt[]{3}\text{ x }\sqrt[]{9} \end{gathered}[/tex]

[tex]\begin{gathered} \sqrt[]{27}\text{ = }\sqrt[]{3}\text{ x 3 = 3 x }\sqrt[]{3} \\ \sqrt[]{27}\text{ = 3 }\sqrt[]{3} \end{gathered}[/tex][tex]\sqrt[]{3}\text{ x }\sqrt[]{27\text{ }}\text{ = }\sqrt[]{3}\text{ x 3}\sqrt[]{3}[/tex]

The answers for the blank spaces are

[tex]\sqrt[]{3}\text{ and 3}\sqrt[]{3}[/tex]

MapsQuestion 120 ptsIf a recipe calls for 58 ounces of pecans andthere are 16 ounces in 2 cups, how many pecanswill you need?

Answers

the recipe needed = 58 ounces of pecans

we have 16 ounces in 2 cups,

so we need

58 - 16 = 42 ounces

so we need 42 ounces of pecans.

I only need help with the gauss elimination and back substitution, and cramers rule. I know hwo to do everything else.

Answers

To solve the equation by Gauss elimination method first convert the equation in matrix form.

The cramers rule is as follows;

Choose the correct ordering of the numbers below from greatest to least.L. 779.56M. 29.7023N. 7.8695O. 0.8436P. 70.7540

Answers

When you order a number, you must check the number most in the left. The number L and the number M for example,

L. 779.56

M. 029.7023

In the hundreds place, L has a '7', and M has a '0', this means L is bigger than M.

Doing the same procedure with the other, we get the following order:

[tex]\begin{gathered} 779.56>70.7540>29.7023>7.8695>0.8436 \\ L>P>M>N>O \end{gathered}[/tex]

A college student realized that he was spending too much money on music. For the remaining 5 months of the year his goal is to spend a mean of $50 a month towardsmusic. How much can he spend in December, taking into consideration that in the other 4 months he spent $20, $70, S30, and $85, respectively? Round your answerto two decimal places. If necessary

Answers

The mean is given by the sum of all the months divided by the number of months.

Then:

Let's set x for the spending money for December.

There are 5 months.

Hence:

[tex]\operatorname{mean}=\frac{20+70+30+85+x}{5}[/tex]

We need to have a mean equal to $50. Set mean = 50.

[tex]50=\frac{20+70+30+85+x}{5}[/tex]

Solve for x:

[tex]\begin{gathered} 50=\frac{20+70+30+85+x}{5} \\ 50=\frac{205+x}{5} \\ 5\cdot50=205+x \\ 250=205+x \\ \text{Therefore:} \\ x=250-205 \\ x=45 \end{gathered}[/tex]

Hence, If the student wants to complete his goal, he will need to spend $45 in December.

GARDENING Molly's school is planning a school-based community garden with the diagram shownIf the school has 64 yards of fencing for the rectangular garden, use a system of equations and a graphing calculator to find the value of Then find the dimensions of the garden.

Answers

The value of x is 5 yards and the length and width of the garden is 20 yards and 12 yards respectively.

Given, the school has 64 yards of fencing for the rectangular garden.

we know that, the perimeter of the rectangle is the sum of twice the length and twice the width.

length (l) = x²-5

width (w) = 4x-8

therefore, 2(l+w) = 64

⇒ 2(x²-5+4x-8) = 64

⇒ 2(x²+4x-13) = 64

⇒ 2x²+8x-26 = 64

⇒2x²+8x-26-64 = 0

⇒2x²+8x-90 = 0

divide the equation by 2.

⇒ x²+4x-45=0

⇒ x²+9x-5x-45 = 0

⇒ x(x+9) - 5(x+9) = 0

⇒ (x+9) (x-5)

⇒ x = -9 or x = 5

therefore, x cannot be negative,

hence x = 5 yards.

therefore, l = x²-5

l = 5² - 5

l = 25-5

l = 20 yards.

w = 4x-8

w = 4(5) - 8

w = 20-8

w = 12 yards.

Hence we get the value of x as 5 yards and the dimensions of the garden as 20 yards by 12 yards,

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Hello! Vectors u and v are shown in the graph. What is -3(u x v)?

Answers

Explanation

The values of the vectors are shown below

Thus

[tex]\begin{gathered} u=(6,5) \\ v=(-6,-10) \end{gathered}[/tex]

Thus to get -3(u.v) will be

[tex]\begin{gathered} step\text{ 1} \\ find\text{ the dot product} \\ u.v=6(-6)+5(-10) \\ u.v=-36-50 \\ u.v=-86 \end{gathered}[/tex]

The next step will be

[tex]\begin{gathered} -3(u.v)=-3\times-86=258 \\ \\ -3(u.v)=258 \end{gathered}[/tex]

The answer will be

y + 3 = 2/5(x + 5) , put that into standard form

Answers

Given:

[tex]y+3=\frac{2}{5}(x+5)[/tex]

The standard form of the linear equation is,

[tex]Ax+By=C[/tex]

Simplify the given equation,

[tex]\begin{gathered} y+3=\frac{2}{5}(x+5) \\ 5(y+3)=2(x+5) \\ 5y+15=2x+10 \\ 2x-5y=15-10 \\ 2x-5y=5 \end{gathered}[/tex]

Answer: Standard form is 2x - 5y = 5

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