What are the roots of the equation? x2 + x

Show step by step and solve will mark brainly) 7h/12 - 4h/12=18/12

skelet666 [1.2K]

Answer:

h=6

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides:

7*h/12-4*h/12-(18/12)=0

3

Simplify —

2

h h 3

((7•——)-(4•——))-— = 0

12 12 2

h

Simplify ——

12

h h 3

((7 • ——) - (4 • ——)) - — = 0

12 12 2

h

Simplify ——

12

h h 3

((7 • ——) - —) - — = 0

12 3 2

Least Common Multiple: 12

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 7h

—————————————————— = ——

L.C.M 12

R. Mult. • R. Num. h • 4

—————————————————— = —————

L.C.M 12

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7h - (h • 4) 3h

———————————— = ——

12 12

3h 3

—— - — = 0

12 2

Find the Least Common Multiple

The left denominator is : 4

The right denominator is : 2

Least Common Multiple: 4

Making Equivalent Fractions :

Rewrite the two fractions into equivalent fractions

L. Mult. • L. Num. h

—————————————————— = —

L.C.M 4

R. Mult. • R. Num. 3 • 2

—————————————————— = —————

L.C.M 4

Adding fractions that have a common denominator :

h - (3 • 2) h - 6

——————————— = —————

4 4

h - 6

————— = 0

4

Now,to get rid of the denominator, multiply both sides of the equation by the denominator.

h-6

——— • 4 = 0 • 4

4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

h-6 = 0

Solve : h-6 = 0

h = 6

3 0

3 years ago

What is the interquartile range of the following data set? 78,90,456,676,111,381,21

kodGreya [7K]

Answer

The IQR of the data set is 368.

Explanation

To find the interquartile range, you first need to find the median of the data set. Then, you find the median of the median and subtract them. This might be a little confusing but I'll walk through everything.

First, put the data set in order from least to greatest; 21 78 90 111 381 456 676. Find the median. The median of this data set is 111, since it is the middle number when the data set is ordered from least to greatest.

To find the Q1 and Q3 of the set, you have to find the median of the median.

The set right now is 21 78 90 111 381 456 676. Remove the 111 (if there were an even amount of numbers in the set, you wouldn't remove the 111 and you would just split the data set in half). Now you have two sets: 21 78 90 and 381 456 676. The median of the first set is 78 (this is the Q1) and the median of the second set is 456 (this is the Q3).

To find the interquartile range, subtract the Q1 from the Q3. 456-78=368.

3 0

3 years ago

Find all the missing elements:

Evgesh-ka [11]

Answer:

a=10.8; c=4.3

Step-by-step explanation:

The sum of all the angles in a triangle is 180 degrees.

Two of the angles are given as 40 deg and 120 deg.

Subtract the measures of both from the sum to get the last angle:

180-40-120=20; ∠C=20°