X + 14 = 21 what should be done to solve this equation

Step-by-step explanation:

4/5x-3=3/10x+7

We move all terms to the left:

4/5x-3-(3/10x+7)=0

Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R

Domain of the equation: 10x+7)!=0

x∈R

We get rid of parentheses

4/5x-3/10x-7-3=0

We calculate fractions

40x/50x^2+(-15x)/50x^2-7-3=0

We add all the numbers together, and all the variables

40x/50x^2+(-15x)/50x^2-10=0

We multiply all the terms by the denominator

40x+(-15x)-10*50x^2=0

Wy multiply elements

-500x^2+40x+(-15x)=0

We get rid of parentheses

-500x^2+40x-15x=0

We add all the numbers together, and all the variables

-500x^2+25x=0

a = -500; b = 25; c = 0;

Δ = b2-4ac

Δ = 252-4·(-500)·0

Δ = 625

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

x1=−b−Δ√2ax2=−b+Δ√2a

Δ−−√=625−−−√=25

x1=−b−Δ√2a=−(25)−252∗−500=−50−1000=1/20

x2=−b+Δ√2a=−(25)+252∗−500=0−1000=0

Answer:

Procedures:

1.) The GCF of a number is the greatest factor/number that you can divide from all the numbers.

2.) The GCF of an exponent is the least value.

ANSWER: 12a² and 38a⁴b²

GCF = 2a²

Factored Form = 2a²(3+19a²b²)

Answer:

11/12 you have to find a common denominator first and that is 12

Answer:

a) x=-a, x=a+b

b) x=5/2a, x=1/3b

c) x=1/2a, x=a/a-2

Step-by-step explanation:

a) (x-a)(x-a)-b(x+a)=0

   (x+a)(x-a-b)=0

   x=-a, x=a+b

b) 3x(2x-5a)-b(2x-5a)=0

   (2x-5a)(3x-b)=0

   x=5/2a, x=1/3b

c) (2a-4)x^2=a^2(x-1)

   (2x-a)(ax-2x-a)=0

6 - 23 + (-9+5) * 2

-17 + (-4)*2

-17 + (-8)

-17 - 8

-25

Answer:

-25

Step-by-step explanation:

follow the order for pemdas which is (parenthesis,exponent,multiplication/division, and then addition/subtraction)

Answer:D

Step-by-step explanation:

Answer:

D. The population of New York City is more than double the population of Los Angeles.  

Answer:

(-1,1)

Step-by-step explanation:

you can solve them simultaneously or by just looking at the point at which the lines are meeting or intersecting

Answer:

(-1,1)

Step-by-step explanation:

Answer:

[tex] \frac{5}{3} [/tex]

Step-by-step explanation:

[tex]let \:the \: multiplicative \: inverse \: be : x \\ then \: \frac{3}{5 } \times x = 1 \\ \frac{3x}{5} = \frac{1}{1} \\ 3x \times 1= 5 \times 1 \\ 3x = 5 \\ x = \frac{5}{3} [/tex]

♨Rage♨

Answer:

3.058s

Step-by-step explanation:

i cant rewrite everything i solve in the paper sorry

Step-by-step explanation:

In this question, to find the total height first, we must also take into consideration the acceleration due to gravity as well. To find the distance by which acceleration due to gravity pulls the ball down must know the Initial velocity.

In the answer key, it says that gravity changes the ball's height by a distance of -5t^2

Is initial velocity in this question 0 or 14m/s? Because if it is 14, then gravity should change the balls position by -(14+5t^2), not -5t^2, because if I remember correctly, the formula for finding distance is vt(initial velocity)+(1/2)at^2 ,and not just (1/2)at^2

Answer:

15cm

Step-by-step explanation:

scale factor =image diatace/object distance

0.75=x/20

0.75×20=x

15=x

: .x=15cm

Answer:

$66

explanation:

1/6 of a pie costs $1

11 divided 1/6

11 ÷ 1/6

11 * 6

$66

The school earned total: $66

Answer:

2 ⅓  

Step-by-step explanation:

division is the same as a fraction

the dividend is the numerator and the divisor is the denominator

7÷3 is the same as 7/3

change 7/3 into a mixed number which is 2 ⅓  

Answer:

D

Step-by-step explanation:

0.05 is equivalent to 5%

Hope that helps!

Answer:

79

Step-by-step explanation:

↓ Define Prime number ↓

Prime number ⇒ A positive integer that has no positive integer divisors other than 1 and itself. To prove whether a number is a prime number, first try dividing it by 2, and see if you get a whole number.

Solve:

76 is not a prime number. The number 76 is divisible by 1, 2, 4, 19, 38, 76.

79 is a prime number. The number 79 is divisible only by 1 and the number itself.

100 is not a prime number. The number 100 is divisible by 1, 2, 4, 5, 10, 20, 25, 50, 100.

66 is not a prime number. The number 66 is divisible by 1, 2, 3, 6, 11, 22, 33, 66.

Hence 79 is a prime number

~Learn with Lenvy~

The third angle measures 50° and all sides have different lengths.

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled.

The sum of angles in a triangle is 180 degrees.

A triangle with angle measures of 100° and 30°, let x represent the third angle, hence:

x + 100 + 30 = 180° (sum of angles in a triangle)

x = 50°

Also, all sides have different lengths since all the angles are different.

Find out more on triangle at: https://brainly.com/question/2644832

Answer:

The third angle measures 50°.

The third angle measures 50°.

1 part = 1/3

1/3 + 1/3 + 1/3 = 1

Answer:

1/3

Step-by-step explanation:

because all the sides and shapes are equal it would be 1/3as well as

1/3 + 1/3 +1/3=1

Answer:

-17/32

this is the answer I got

So what's they?

X intercept is the co-ordinate where the line crosses x axis ,

Y intercept is the co-ordinate where the line crosses y axis

So

Answer:

the answer is undefined

Step-by-step explanation:

If a function, f(x), is continuous (that is, has values for every x in the interval) from x=- 1 to x=1 ), then the average rate of change is:( total amount that f(x) changes ) / (total amount that x changes)( f(1) - f(-1) ) / ( (1) - (-1) )( f(1) - f(-1) ) / 2The variable x changes from (-1) to (1). That value is 2. [note: (1)-(-1) ]The function changes from f(-1) to f(1). You must determine f(1)-f(-1) and use that value as the numerator.Fill in the values to determine the average rate of change: ( f(1) - f(-1) ) / 2However, if the plot of y values is not a function, and there is some x value between -1 and 1 for which f(x) is undefined, then the rate of change of y from f(-1) to f(1) is also undefined.

Answer:

Step-by-step explanation:

The line with the slope 0 is horizontal line, so the equation is

y = 2

Step-by-step explanation:

P = 2(L + B ), but L = B + 5. so,

P = 2(B+ 5 + B ), B = 16 & L = 21.

Answer:

110,000

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The square of a number square rooted is the number itself.

Answer:

116

Step-by-step explanation:

The sum of the measures of the angles of a quadrilateral is 360 degrees, so:

79+55+110+x=360

244+x=360

x=116

Answer:

The tower itself is 300 metres (984 feet) high. It rests on a base that is 5 metres (17 feet) high, and a television antenna atop the tower gives it a total elevation of 324 metres (1,063 feet).

Answer:

f(3) = 425

f(3) is the elevation of a mountain climber after 3 hours of climbing.

Step-by-step explanation:

So we are given a line that relates time to elevation. We are also given that the equation of the line is f(x) = 125x + 50. From looking at the graph given, we can see that x is the time, in hours, and y, or f(x), is the height, in feet. We are asked to find f(3) and interpret it's meaning.

To find f(3), we would have to find what f(x) is when x = 3. To do this, lets plug in 3 for x into the given equation:

f(3) = 125(3) + 50 = 425

So f(3) = 425. Now, we already know that x is the time in hours and y, or f(x), is the elevation in feet. We set x to 3 when solving for f(3). We have also found that f(3), or y when x = 3, is 425. So f(3), or 425, is the elevation after 3 hours.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

50° for angle FEG

Step-by-step explanation:

Following the Verticle Angles Theorem, the angle on the other side of 140 must also be 140. Since it is split up and we know one of them is a right angle, we must subtract 90 from 140.

140 - 90 = 50.

Thus, angle FEG is 50°.