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3 years ago

Solve the equation 2m2 – 6m + 14 = 0.

Mathematics

2 answers:

Lesechka [4]3 years ago

7 0

Answer:

M=7

Step-by-step explanation:

Calculate the product

Collect like terms

Move the constant to the right

Divide both sides by -2

11111nata11111 [884]3 years ago

6 0

Answer: m= 7

Step-by-step explanation:

2m2-6m+14=0

4m-6m+14=0

-2m+14=0

-2m=-14

M=7

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Solve the inequality of -2/3 > z/5

patriot [66]

Answer:

$\boxed{\bold{Z < \frac{-10}{3} }}$

Explanation:

Simplify both sides of inequality

-2 / 3 > 1 / 5 z

Flip equation

1 / 5 z < -2 / 3

Multiply both sides by 5

(1 / 5 z) 5 < (-2 / 3) 5

Z < -10 / 3

6 0

3 years ago

Can someone help me with this one and write the step by step explanation please.

Eddi Din [679]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ As the two lengths are a, this means it is an isosceles triangle.

The two unknown angles would be equal so we can calculate them:

(angles in a triangle equal 180 degrees)

(180 - 90) / 2 = 45

Now we can use the sine rule to calculate the length a

(6 / sin(90)) x sin(45) = a

a = 4.242640687

To one decimal place, your answer would be:

a = 4.2mm

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

3 0

4 years ago

Read 2 more answers

Consider a sample with six observations of 15, 16, 12, 8, 6, and 9. Compute the z-scores for each sample observation.

grin007 [14]

Answer:

1 ; 1.25 ; 0.25 ; - 0.75 ; - 1.25 ;- 0.5

Step-by-step explanation:

Given the sample observations : 15, 16, 12, 8, 6, 9

Zscore for each sample Observation :

Zscore = (x - mean) / standard deviation

(15 + 16 + 12 + 8 + 6 + 9) / 6 = 11

Mean value (m) = 11

Standard deviation (s) = 5

Sqrt[(x - m)^2 / (n - 1)]

[(15-11)^2 + (16-11)^2 + (12-11)^2 + (8-11)^2 + (6-11)^2 + (9-11)^2] / (6 - 1)

= 80/5 = 16

Sqrt(16) = 4

Zscore = (x - mean) / standard deviation

x = 15

Zscore = (15 - 11) / 4 = 1

x = 16

Zscore = (16 - 11) / 4 = 1.25

x = 12

Zscore = (12 - 11) / 4 = 0.25

x = 8

Zscore = (8 - 11) / 4 = - 0.75

x = 6

Zscore = (6 - 11) / 4 = - 1.25

x = 9

Zscore = (9 - 11) / 4 = - 0.5

4 0

3 years ago

(3x + 5)<br> (10x - 7)º

ella [17]

Answer:

180 i think but idrk

Step-by-step explanation:

8 0

3 years ago

The ratio of boys to girls in a group is 7:1. If there are 66 more boys than girls, work out how many girls there are

IRISSAK [1]

Answer:11

Step-by-step explanation:

Boys : girls=7:1

Sum of ratio=7+1=8

Let number of girls be y

Then number of boys=y+66

Total number of pupils=y+y+66

Total number of pupils=2y+66

girls only=(girl ratio)/(sum of ratio) x (total number of pupils)

y=1/8 x (2y+66)

Cross multiply

y x 8=2y + 66

8y=2y + 66

Collect like terms

8y-2y=66

6y=66

Divide both sides by 6

6y/6=66/6

y=11

There are 11 girls

3 0

3 years ago