simplify the expression 7√5-3√80​

Answer:

(x-3)²

Step-by-step explanation:

x²-6x+9

x² can be written as (x)²

9 can be written as 3²

(x)²-6x +(3)

we can break 6x as 2(3)(x)

by using square formula

(a+b)²= a²-2ab+b²

Putting all the values back in expression we get

(x)²-2(3)(x)+(3)²

by closing formula we get

(x-3)²

Answer:

(x-3)2

Step-by-step explanation:

i took the test

Answer:

The answer is A

Step-by-step explanation:

D. Shifted 4 units left and 2 units down

The answer to your problem is d.

Answer:

Step-by-step explanation:

[tex]\dfrac{5^{11}}{5^x}=5^4\qquad\text{multiply both sides by}\ 5^x\\\\5^{11}=5^4\cdot5^x\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\5^{11}=5^{4+x}\iff11=4+x\qquad\text{subtract 4 from both sides}\\\\11-4=4-4+x\\\\7=x\to x=7[/tex]

Answer :

D

Solution :

14ft + 17ft = 30ft

31ft = 30ft

Answer:

Answer:

y=−4x is a direct variation with the constant of variation +(−4)

Any equation in (or modifiable into) the form y = a . x

is a direct variation with constant a

Step-by-step explanation:

Answer: 2 2/3 or 2.6 repeating

Step-by-step explanation:

- Reduce the numbers With the greatest common divisor 2

- Calculate product

- Calculate the difference

- YOUR FINAL ANSWER

Hope I was able to satisfy your needs

First you make the fractions have a common denominator. In this case it would be 6.

Then you have 8 3/6 - 2 4/6.

Because the number you are subtracting is greater than what you are subtracting from, you can turn the fraction into an improper fraction.

8 3/6 = 7 9/6

9/6 - 4/6 = 5/6

Then subtract the whole numbers.

7-2 = 5

Answer: 5 5/6

Answer:

If you expand this using pascals triangle you will see that the fifth term is 126a^5b^4

the coefficient is the number 126

Answer:

The coefficient of the fifth term is 126.

Step-by-step explanation:

The question implies that after the expansion of [tex](a+b)^{9}[/tex], what would be the coefficient of the fifth term. This long expansion can be easily done by the application of the Pascal principle of expansion.

Thus,

[tex](a+b)^{9}[/tex] = [tex]a^{9}[/tex] + [tex]9a^{8}b[/tex] + [tex]36a^{7} b^{2}[/tex] + [tex]84a^{6}b^{3}[/tex] + [tex]126a^{5}b^{4}[/tex] + [tex]126a^{4} b^{5}[/tex] + [tex]84a^{3} b^{6}[/tex] + [tex]36a^{2} b^{7}[/tex] + [tex]9ab^{8}[/tex] + [tex]b^{9}[/tex]

So, from this expansion, the fifth term is [tex]126a^{5}b^{4}[/tex]. And its coefficient is 126.

Answer:

86.7

Step-by-step explanation:

2 x 10.2 x 4.25 = 86.7

To find the volume you need to multiply all these 3 values.

After multiplying it all that amount will be the answer.

The volume of the given dimensions is [tex]\(86.7\)[/tex] cubic units.

To find the volume, we multiply the three given dimensions together. The dimensions given are [tex]\(2\)[/tex], [tex]\(10 \frac{1}{5}\)[/tex], and [tex]\(4 \frac{1}{4}\)[/tex].

First, we need to convert the mixed numbers to improper fractions:

1. Convert [tex]\(10 \frac{1}{5}\)[/tex] to an improper fraction:

[tex]\[ 10 \frac{1}{5} = 10 + \frac{1}{5} = \frac{50}{5} + \frac{1}{5} = \frac{51}{5} \][/tex]

2. Convert [tex]\(4 \frac{1}{4}\)[/tex] to an improper fraction:

[tex]\[ 4 \frac{1}{4} = 4 + \frac{1}{4} = \frac{16}{4} + \frac{1}{4} = \frac{17}{4} \][/tex]

Next, multiply the three dimensions together.

First, convert the whole number [tex]\(2\)[/tex] to a fraction:

[tex]\[ 2 = \frac{2}{1} \][/tex]

Now, multiply the fractions:

[tex]\[ \frac{2}{1} \times \frac{51}{5} \times \frac{17}{4} \][/tex]

[tex]\[ \frac{2 \times 51}{1 \times 5} = \frac{102}{5} \][/tex]

[tex]\[ \frac{102 \times 17}{5 \times 4} = \frac{1734}{20} \][/tex]

[tex]\[ \frac{1734}{20} = 86.7 \][/tex]

Answer:

5 feet long

Step-by-step explanation:

According to the Pythagorean Theorem, a^2 + b^2 = c^2  where "a" and "b" are the two legs of the right triangle and "c" is the hypotenuse.

We are trying to find the part that is at an angle, which is "c". So if we know "a" is "3 and "b" is 4, we can plug the values into the equation.

3^2 + 4^2 = c^2       plug in the values

9  +  16 = c^2           simply the two squared values

25 = c^2                   add the two values

5 = c                          take the square root of both sides

c = 5                          switch the values

[tex]f(x)=\sqrt{x}[/tex] is the Square Root Function. These are the characteristics of the graph of the square root function:

Since the function [tex]g(x)=\sqrt{x}-2[/tex], then this stands for the form:

[tex]g(x)=f(x)-c[/tex]. This form tells us that the graph of f has been shifted c units downward where the value c = 2 in this problem. The graphs of both functions are shown below. The red one is [tex]f(x)[/tex] while the blue one is [tex]g(x)[/tex]

Answer:

Step-by-step explanation:

The parent function is

[tex]f(x)=\sqrt{x}[/tex]

Remember that a parent function is the simplest function of its type, like this case the function [tex]f(x)[/tex] is the simplest form of radical functions.

The transformed function is

[tex]g(x)=\sqrt{x}-2[/tex]

Notice that the difference between these two functions is that [tex]g(x)[/tex] has 2 units less on the vertical or dependent variable, such transformation indicates a vertical translation downwards.

Therefore, the transfomation made is a vertical translation 2 units downwards.

Answer:

No, because the median test score decreased 5 points.

Step-by-step explanation:

The middle line is is the median so, if the pre-test is 60 and the post-test is 55 then there is a 5 point difference.

Answer:

y = 4(2^x)

Step-by-step explanation:

To write the exponential values, compare the y values. Notice they are multiples of 8 and they are increasing. This means the base is likely 2 or 4 since each of these numbers has the same multiples. Our options also only include base 2 and 4.

Try 4^1 = 4 and 4^4 = 256.

Try 2^1 = 2 and 2^4 = 16.

None of these give the exact values in the points. This means there is an initial value multiplied to them as well.

When x = 1 and the base is 4, the value is too small. But when x = 4, the value is too large. This cannot be reconciled.

When x = 1 and x = 4 for the base 2, both values are too small and could be multiplied by the same number to get the right values.

2*4 = 8

16*4 = 64

The initial value is 4 so the function is [tex]y = 4(2^x)[/tex]

I hope this helps.

-8y+7x

Answer:

[tex]7x-8y[/tex]

Step-by-step explanation:

We have been given an expression [tex](-3y-x)-(5y-8x)[/tex]. We are supposed to simplify our given expression.

Using distributive property [tex]a(b+c)=ab+ac[/tex], we will get:

[tex]-3y-x-1*5y-1*-8x[/tex]

[tex]-3y-x-5y+8x[/tex]

Now, let us combine like terms.

[tex]-x+8x-5y-3y[/tex]

[tex]7x-8y[/tex]

Therefore, the simplified form of our given expression would be [tex]7x-8y[/tex].

Answer:

The volume of a rectangular prism is [tex]28\frac{7}{8}\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

[tex]V=BHL[/tex]

Convert the given dimensions to an improper fractions

[tex]B=3\frac{1}{2}\ cm=\frac{3*2+1}{2}=\frac{7}{2}\ cm[/tex]

[tex]H=1\frac{1}{2}\ cm=\frac{1*2+1}{2}=\frac{3}{2}\ cm[/tex]

[tex]L=5\frac{1}{2}\ cm=\frac{5*2+1}{2}=\frac{11}{2}\ cm[/tex]

substitute in the formula

[tex]V=(\frac{7}{2})(\frac{3}{2})(\frac{11}{2})=\frac{231}{8}\ cm^{3}[/tex]

Convert to mixed number

[tex]\frac{231}{8}=\frac{224}{8}+\frac{7}{8}=28\frac{7}{8}\ cm^{3}[/tex]

[tex]7x - (2x)2 + {x}^{3} [/tex]

[tex]7x - 4x + {x}^{3} [/tex]

[tex]3x + {x}^{3} [/tex]

[tex]3( - 2) + { (- 2)}^{3} [/tex]

[tex] - 6 + - 8[/tex]

[tex] - 14[/tex]

Answer:

Do you mean like a "degree" of a circle?

Step-by-step explanation:

Answer:

Are you talking about the degrees of a circle?

Step-by-step explanation:

Answer:

h = - 12

Step-by-step explanation:

Isolate the term in h by adding 1 to both sides of the equation

[tex]\frac{h}{6}[/tex] = - 2 ( multiply both sides by 6 )

h = - 12

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

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

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (5, 20) and (7, 22). Substitute:

[tex]m=\dfrac{22-20}{7-5}=\dfrac{2}{2}=1[/tex]

[tex]y-20=1(x-5)[/tex]

[tex]y-20=x-5[/tex]         add 20 to both sides

[tex]y=x+15[/tex]

Answer:

the answer is 715

Step-by-step explanation:

Answer:

715

Step-by-step explanation:

5*100

5*40

5*3

then add all together

Make sure to use order of operations

Answer:

Broke paints [tex]216\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The area of the outsides of the square walls and triangular ceilings of her tree house is equal to the area of four squares and four triangles

so

[tex]A=4[(6)^{2} +\frac{1}{2}(6)(6)]\\ \\A=4[36+18]\\ \\A=216\ ft^{2}[/tex]

The surface area of the square walls and triangular ceiling she painted is 216 ft²

The surface area of the painted region can be found as follows:

area of the square = l²

where

Therefore,

l = 6 ft

area of the square = 6² = 36 ft²

Area of the triangular region = 1 / 2 bh

where

Therefore,

area of the triangular region = 1 /  2 × 6 × 6 = 36 / 2  = 18 ft²

Therefore,

area of the painted region = 18(4) + 36(4) = 144 + 72 = 216 ft²

learn more on surface area here: https://brainly.com/question/23585317

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➷ 40 + 25 = 65

75 - 65 = 10

The correct answer would be B. $10

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:                      

Step-by-step explanation:                      

To find the difference between the two given numbers, we will subtract the smaller number from the greater number.                

[tex]30.1-16.35[/tex] = 13.75

So, the difference is 13.75                                  

The equation x + y = 10 represents a linear relationship that spans all real numbers in both x and y directions. Thus, the domain and the range for this function are both all real numbers.

The equation for the set F is x + y = 10, which is a straight line on a graph. This line extends infinitely in both directions, meaning that there is no restriction on the possible values of x (the domain) and y (the range). Therefore, the correct answer for both domain and range would be 'All Real Numbers'.

To visualize this, imagine you plug in any number for x and solve the equation for y. Similarly, you can do the same, guessing a y-value and solving for x. No matter the number chosen, there will always be a corresponding number on the other side, whether positive, negative, or zero.

Remember that a domain is the set of all inputs (or 'x' values) that a function can accept, and a range is the set of all possible outputs (or 'y' values) that the function can produce. In this example, the function can handle and generate all real numbers, so its domain and range are all real numbers.

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Answer:

9m

Step-by-step explanation:

The surface area of a cube is given by

SA = 6s^2  where s is the side length

We know the surface area is 486 and the side length is z

486 = 6z^2

Divide each side by 6

486/6 = 6z^2/6

81 = z^2

Take the square root of each side

sqrt(81) = sqrt(z^2)

9 = z

Each side has a length of 9m

Hello there!

To find the value of n, work to isolate it from all other terms in the equation.

8n+7=31 - Start by subtracting 7 from both sides. 8n + 7 - 7 = 31 - 7

8n = 24 Next, divide both sides by 8 to finish isolating n. 8n÷8 = 24÷8

n = 3

This is your final answer.

I hope this was helpful and have a great rest of your day!

:)

For this case we must solve the following equation of first degree:

[tex]8n + 7 = 31[/tex]

We subtract "7" on both sides of the equation:

[tex]8n + 7-7 = 31-7\\8n = 24[/tex]

We divide between "8" on both sides of the equation:

[tex]\frac {8n} {8} = \frac {24} {8}\\n = 3[/tex]

Thus, the value of the variable n is 3.

Answer:

[tex]n = 3[/tex]

The distance is 6 units.

On the x axis, the distance between A and D is 2 -4 or -4 +2 = -6. Mind you, distance is never negative so always use the absolute value, which is 6.

Ans = 6 units

Happy to help. Marking me the brainpower would really be appreciated.

Answer:

C) Multiply the first equation by 2, and multiply the second equation by 5.

Step-by-step explanation:

Given equations are :

4x − 5y = 4

and

3x+2y = −20

Now we need to select the best possible first step to solving the system by first eliminating the y variable. Where given choices of the possible steps are:

A) Multiply the first equation by −2, and multiply the second equation by 5.

B) Multiply the first equation by 2, and multiply the second equation by −5.

C) Multiply the first equation by 2, and multiply the second equation by 5.

D) None of the above

Since we need to eliminate y, then we must make coefficients of y equal in both equations. Easiest way is to multiply coefficient of first equation into 2nd equation and multiply coefficient of y from 2nd equation into first equation. Make sure that their sign is oppsite.

Hence correct choice is C)Multiply the first equation by 2, and multiply the second equation by 5.

Answer:

$35.97

Step-by-step explanation:

the regular price is 59.95

40% discount so

let's say the price now is x and i am gonna do fractions

x/59.95 = 40%/100

100 x X = 100x  

59.95 x 40 = 2398

i divide 2398 by 100 which equal 23.98

40% is 23.98 and then i do 59.95 - 23.96 = 35.97

DONE!

The discount amount on the watch is $23.98 and the sale price after applying the 40% discount off the regular price of $59.95 is $35.97.

When a jewelry store is having a going-out-of-business sale, and all merchandise is marked 40% off the regular price, we can calculate the amount of the discount and the sale price using percentage formulas. For example, if a watch has a regular price of $59.95, we multiply this price by 40% (or 0.40) to find the discount amount.
To find the discount amount: $59.95 times 0.40 = $23.98

Next, to find the sale price, we subtract the discount amount from the regular price.
To find the sale price: $59.95 - $23.98 = $35.97

Therefore, the discount amount is $23.98, and the sale price of the watch is $35.97.