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KiRa [710]
2 years ago
15

Can someone help with this and explain thanks

Mathematics
1 answer:
Iteru [2.4K]2 years ago
6 0

Answer:

42+34+14=90

Step-by-step explanation:

42 people are male

34 people study biology

14 males study biology (thats both)

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Solve for x use the completing the square method x^2+6x=5
Mrac [35]

Answer:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

Step-by-step explanation:

x^{2}+6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power:  3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

x^{2}+6x+9-9-5=0

we have:

(x+3)^{2}-9-5=0

(x+3)^{2} = 14

lets apply square root on both sides of the equation:

\sqrt{(x+3)^{2}}=\sqrt{14}

we know:

\sqrt{a^{2}} = abs(a)

so we have:

abs(x+3)=\sqrt{14}

from where two solutions are obtained

x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}

finally we have:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

5 0
3 years ago
Read 2 more answers
M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of MN¯¯¯¯¯¯ ?
stira [4]
Use the distance formula

\sqrt{(2-2)^2+(5--5)^2}=\sqrt{100}=10
5 0
2 years ago
Read 2 more answers
Peter was given 40 words to spell to qualify for a prize. He must spell at least 90% of those words correctly. At least how many
AnnZ [28]

Answer:

He should have to spell at least 36 of these words correctly.

Step-by-step explanation:

40 words.

He must spell at least 90% of those words correctly.

At least how many words should he have to spell correctly to get the prize?

90% of 40. So

0.9*40 = 4*9 = 36

He should have to spell at least 36 of these words correctly.

6 0
2 years ago
Write the equation of a line that passes through the points
xxTIMURxx [149]
Y=-3x+-1. you subtract (-4)-(-1) =3 and 1-0 and you get 1 . so the slope is 3 over 1 . and the y intercept is -1
3 0
2 years ago
Read 2 more answers
Factorise: 5(2^n)+2^n+2
marin [14]

Answer:

2 ( n + 2 ) ( n + 1 2 )

Step-by-step explanation:

coefficient of the first term:  

2 = 2 × 1

coefficient of the last term:  

2 = 2 × 1

coefficient of the middle term (using only the factors above):  

5 = 2 × 2 + 1 × 1

2 n 2 + 5 n + 2 = ( 2 n + 1 ) ( n + 2 )

Alternative method:

Treat the given expression as a quadratic set equal to zero, with the form

a n 2 + b n + c

and use the quadratic formula

− b ± √ b 2 − 4 a c 2 a

This will given solutions

n = − 2  and  n = − 1 2

for a factoring

2 ( n + 2 ) ( n + 1 2 )

Hope this helped

3 0
2 years ago
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