Which of the following occurs within the solution process for sqrt 3(5x-2)- sqrt 3 (4x) = 0 asquaring both sides once
squaring both sides twice
cubing both sides once
cubing both sides twice

Answer:

0

Step-by-step explanation:

7c =

7(0) = 0

hope you understand

Answer:

since the c is 0.. then substitute c as 0 in 7c...

hence the equation will be 7(0)...

equals to 7×0

the answer is 0

Answer:

y=4x-13

Step-by-step explanation:

Answer:

72.1110255093 cm

Step-by-step explanation:

round it if you have to

Answer:

75 cm

Step-by-step explanation:

The diagonal d divides the rectangle into 2 right triangles with d as the hypotenuse.

Using the right triangle formed on the left and using Pythagoras' identity.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

d² = 45² + 60² = 2025 + 3600 = 5625 ( take square root of both sides )

d = 75

The diagonal is 75 cm

Answer:

Triangle B

Step-by-step explanation:

For a triangle with sides a, b and c,

If c² = a² + b²

Then triangle will be a right triangle.

If c² > a² + b²

Triangle will be an obtuse triangle

If c² < a² + b²

Triangle will be an acute triangle.

By applying these properties in the given triangles,

Triangle A:

6 cm, 8 cm and 10 cm

6² + 8² = 36 + 64

6² + 8² = 100 [c² = a² + b²]

Therefore, it's a right triangle.

Triangle B:

310 in, 25 in and 35 in

25² + 35² = 625 + 1225

                = 1850

Since, 310² = 96100

And 96100 > 1850 [c² > a² + b²]

Therefore, It's an obtuse triangle.          

Triangle C:

8 ft, 15 ft and 35 ft

8² + 15² = 64 + 225

             = 289

Since, 17² = 289 [c² = a² + b²]

Therefore, It's a right triangle.

Triangle D:

0.32 mm, 0.96 mm and 1 mm

(0.32)² + (0.96)² = 1.024

Since, 1² = 1

And 1 < 1.024 [c² < a² + b²]

Therefore, triangle will be an acute triangle.

Answer:

The two numbers are 12 and 30

Step-by-step explanation:

It is given that both the numbers are greater than 6

Let the two numbers be X and Y

As we know

X * Y = LCM * HCF

XY = 360

Let us list down some combinations of X and Y and test above conditions

There can be following pairs

a) 6,60

b) 18,20

c) 24,15

d) 12,30

LCM of the two numbers is 60 and both the numbers are greater than 6

So only 12, 30 satisfy the set condition.

Answer:

80 ounces is heavier by 8 ounces or half a pound

Step-by-step explanation:

1 pound = 16 ounces

4.5*16= 72 ounces

Answer:

185

Step-by-step explanation:

14.8 / 0.08 = 185

Best of Luck!

Answer:

185

Step-by-step explanation:

next time you get a question like that use symbolab

Answer:

Simplifying

10x + -5(3x + -1) = 15

Reorder the terms:

10x + -5(-1 + 3x) = 15

10x + (-1 * -5 + 3x * -5) = 15

10x + (5 + -15x) = 15

Reorder the terms:

5 + 10x + -15x = 15

Combine like terms: 10x + -15x = -5x

5 + -5x = 15

Solving

5 + -5x = 15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + -5x = 15 + -5

Combine like terms: 5 + -5 = 0

0 + -5x = 15 + -5

-5x = 15 + -5

Combine like terms: 15 + -5 = 10

-5x = 10

Divide each side by '-5'.

x = -2

Simplifying

x = -2

Step-by-step explanation:

Answer:

190,944 possibilities

Step-by-step explanation:

2 x 6 x 52 x 51

Answer: 8.25cm

Step-by-step explanation:

Use Pythagorean's Theorem for a right triangle:

[tex]a^2+b^2=c^2[/tex]

'A' and 'B' being the legs and 'C' being the hypotenuse.

[tex]16^2+b^2=18^2\\256+b^2=324\\b^2=68\\b=\sqrt{68}=8.25cm[/tex]

Answer:

it'll be B

Step-by-step explanation:

ive took the test turned out i got it right

Step-by-step explanation:

1(

m<1= 62°

2)

m<1=90°

3)

180-70-65=45

m<1= 45°

4)

180-90-30=60

m<1= 60°

Answer:

ok ask your self what is 4x20+4 done pss its 84...

Step-by-step explanation:

ok

Answer:

84x

Step-by-step explanation:

Equation:

X(4+20)

=24x

X(24+60)

=84x

Given:

The sum of three numbers is 212 .

The ratio of the first to the second is 13:16 and that of the second to the third is 2:3.

To find:

The unknown numbers.

Solution:

We have,

First : Second = 13:16

Second: Third = 2:3

We need to combine these ratios, to get a single ratio for all three numbers.

Second: Third = 2×8:3×8 = 16:24

Now,

First: Second: Third = 13:16:24

Let the first, second and third numbers are 13x, 16x and 24x respectively.

[tex]13x+16x+24x=212[/tex]

[tex]53x=212[/tex]

[tex]x=\dfrac{212}{53}[/tex]

[tex]x=4[/tex]

So, the numbers are,

[tex]First=13x[/tex]

[tex]First=13(4)[/tex]

[tex]First=52[/tex]

Similarly,

[tex]Second=16x[/tex]

[tex]Second=16(4)[/tex]

[tex]Second=64[/tex]

And,

[tex]Third=24x[/tex]

[tex]Third=24(4)[/tex]

[tex]Third=96[/tex]

Therefore, the three unknown numbers are 52, 64, 96.

Answer:

A. The point represents the turning point of the graph

B. The cost of making 4,000 bicycles is $265,000

The slope of the cost function, F(x) = 1.25 + 0.35·x, is less than the average slope of the graph of the total profit for sales

C. The company should plan on making fewer than 4,000 bicycles, to maximize profit

Step-by-step explanation:

A. The point represents the turning point after which increase in the x-coordinate values leads to a decrease in the y-coordinate values

B. The cost function is presented as follows;

F(x) = 1.25 + 0.35·x

Where;

F(x) = The cost in hundreds of thousands of dollars of making 'x' (in thousands) bicycles

x = The number of bicycles made in thousands

The cost of making 4,000 bicycles is given by plugging in x = 4(thousand) in  F(x) = 1.25 + 0.35·x, as follows;

F(x) = 1.25 + 0.35·x

∴ F(4) = 1.25 + 0.35 × 4 = 2.65

Therefore, the cost of making 4,000 bicycles = 2.65 × $100,000 = $265,000

The slope of the cost function, F(x) = 1.25 + 0.35·x, is given by the coefficient of 'x' which is 0.35

The average slope of the graph of the profit function is ((3.5 - 0)/(4 - 0)) = 0.875

The slope of the cost function is less than the average slope of the graph of the profit function taken from the origin to the maximum point of the graph

C. When the company produces 5,500 bicycles, x = 5.5, we have;

F(5.5) = 1.25 + 0.35 × 5.5 = 3.175

The cost is 3.75 × $100,000 = $375,000 and the profit from te graph is $300,000

Therefore, the cost of making the 5,500 bicycles is more than the profit made in sales

The company should plan on making fewer than 4,000 bicycles, to reduce cost of producing more bicycles and to increase profit per unit of bicycle sold

Answer:

40

Step-by-step explanation:

The frequency column gives the number of houses in the sample, then

number of houses = 5 + 11 + 23 + 1 = 40

=======================================================

Explanation:

The first number along the top is 40, and it multiplies with the second number along the side to get 40 x 5 = 200

You can think of it as 4 x 5 = 20, then you tack on an extra 0 to the '4' and to the '2' as well, so it keeps things balanced.

So this explains how choice D is one of the answers.

-------------------------

After 200 fills in that question mark, we'll have these four numbers inside the table: 2400, 420, 200, and 35

Those four values add up to: 2400+420+200+35 = 3055

This shows that choice A is one of the answers.

--------------------------

Finally, choice E is the third answer because along the top we have 40+7 = 47, and along the side we have 60+5 = 65

Put another way, the total top length is the sum of the two smaller pieces of 40 and 7, which explains how the total top length is 47 units long. A similar argument happens for the left side values as well.

We ultimately have a rectangle that is 47 units across in the horizontal direction, and 65 units tall in the vertical direction.

With your calculator, you should note that 47*65 = 3055 to help confirm everything lines up.

--------------------------

Extra info:

Choice B is false because this contradicts choice D.

Choice C is false because it contradicts choice E

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

15

Step-by-step explanation:

Hope it is helpful....

Answer:

The Square root of 225 is 15

Answer:

3a5a2b

Step-by-step explanation:

You can prime factorize 15: 3 x 5

Answer:

mark brainlist please

Step-by-step explanation

-2x+7y=16 x=-8,0 y=0,16/7

8x-6y=24 y=(3,0) x=(0,-4)

f(2x-3)=4x+5

Let, 2x-3=g

x=(g+3)/2

So,f(2{g+3}/2 -3)=4(g+3)/2 + 5

f(g)=2g+11

So,f(x)=2x+11

f(-2)=7 ##

Answer:

f(2x - 3) = 4x + 5

f(2x-3)=2(2x-3)+11

f(x)=2x+11

f(-2)=2×-2+11=-4+11=7

Answer:

6.2

Step-by-step explanation:

Divide 11.78 by 1.9. Then you will get 6.2.

Your welcome in advanced.

-YourAverage10YearOld

Answer:

Angle 1 is 57 degrees

Angle 3 is 57 degrees

Angle 4 is 123 degrees

Step-by-step explanation:

Cause a straight line is 180 degrees and if angle 2 is 123 degress then angle 3 is 57 degrees and i got that by Subtracting 180-123 =57

Then for angles one you do the same maththat you do for finding angle 3

Then for angles 4 subtract 180-57=123

Step-by-step explanation:

The location of A is 3.2

The location of A' is 6.4

A represent pre image A' represent the new image.

The scale factor of A to A' is 2 since 3.2 x 2 =6.4

Since you didnt provide B coordinates, just multiply 2 by the B coordinate to find the B prime coordinate.

Answer: A.)The scale factor is 0.8 and the coordinates of point B prime are (–3.2, –4.8).

Step-by-step explanation: i hope this helps im sorry if this didnt help

Answer:

If Jake loses 8 pounds, he will weigh twice as much as his sister. ... Together they now weigh 278 pounds. What is Jake's present weight, in pounds? (A) 131 (B) 135 ... Before we create our equations, we want to define some variables. ... To solve this equation, we can substitute 2S + 8 from Equation 1 for the variable J in ...

Answer:

40, 42 and 44

Step-by-step explanation:

Mark these even consecutive integers as (2n-2), 2n and (2n+2)

Note that since they are integers, n > 0 and 2n is always even

Writing the equation

(2n-2) * 2n = 38 * (2n+2) + 8

// divide both sides by 2

(2n-2) * n = 19 * (2n+2) + 4

[tex]2n^{2}[/tex] - 2n = 38n + 38 + 4

[tex]2n^{2}[/tex] - 2n - 38n - 38 - 4 = 0

[tex]2n^{2}[/tex] - 40n - 42 = 0

// divide both sides by 2

[tex]n^{2}[/tex] - 20n - 21 = 0

// rewrite the equation

[tex]n^{2}[/tex] + n - 21n - 21 = 0

n * (n+1) - 21n - 21 = 0

n * (n+1) - 21 * (n+1) = 0

(n+1) * (n-21) = 0

// separate the two possible cases

n + 1 = 0 and n - 21 = 0

n = -1              n = 21

Note that here n has to be an integer, so case n = -1 can't be a solution. Therefore we use n = 21

Calculating the consecutive even integers

2n - 2 = 2 * 21 - 2 = 40

2n = 2 * 21 = 42

2n + 2 = 2 * 21 + 2 = 44

Answer:

ok so i really shouldnt get points for this, but i wanted to help. The person who solved the problem here:  https://math.stackexchange.com/questions/2911546/suppose-the-sides-of-a-triangle-form-a-geometric-progression-with-common-ratio-r     is correct, but it is not very clear. Basically, he rounded to the third decimal point (since a sqrt has infinate decimals), and this might have been what got you the wrong answer. Basically the important thing is that r has to be between the (-1+√5)/2 and (1+√5)/2, or (-1+√5)/2 < r < (-1+√5)/2

Answer:

Total possible outcomes = 12

{A1 ; A2 ; A3 ; B1; B2;B3;C1;C2;C3;D1;D2;D3}

Step-by-step explanation:

Bag 1 = { 1, 2, 3}

Bag 2 = {A, B, C, D}

Sample space :

Size of bag A * size of bag B

3 * 4

= 12