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3 years ago

Find three consecutive odd integers whose sum is 45

Mathematics

1 answer:

Karolina [17]3 years ago

8 0

Answer:

13, 15, 17

Step-by-step explanation:

First divide 45/3=15

Then since 15 is odd, subract by 2 to get 13 and add 2 to get 17.

Finally add up 13+15+17 to get 45.

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Solve the system of equations. 3x – 4y = 8 18x – 5y = 10 x= y =

Zepler [3.9K]

Answer:

Step-by-step explanation:

Solution by substitution method

3x-4y=8

and 18x-5y=10

Suppose,

3x-4y=8→(1)

and 18x-5y=10→(2)

Taking equation (1), we have

3x-4y=8

⇒3x=4y+8

⇒x=( 4y+8)/ 3 →(3)

Putting x= (4y+8 )/3 in equation (2), we get

18x-5y=10

18( (4y+8) /3) -5y=10

⇒24y+48-5y=10

⇒19y+48=10

⇒19y=10-48

⇒19y= -38

⇒y=- 38 /19

⇒y= -2→(4)

Now, Putting y=-2 in equation (3), we get

x=4y+8

x= (4(-2)+8) /3

⇒x= (-8+8)/ 3

⇒x= 0/ 3

⇒x=0

∴x=0 and y= -2

5 0

3 years ago

In each of the following equations, what is

timama [110]

The graph will cross at the coordinates (-2, 9)

<h3>How to solve equations?</h3>

y = 3x + 15

y = 3 - 3x

y = 3x + 15

Hence,

when x = 2

y = 3(2) + 15 = 21

when x = 0

y = 3(0) + 15 = 15

y = 3 - 3x

when x = 2

y = 3 - 3(2)

y = 3 - 6

y = -3

when x = 0

y = 3 - 3(0)

y = 3

Therefore, let's check if the equation will cross.

y = 3x + 15

y = 3 - 3x

using substitution,

3 - 3x = 3x + 15

3 - 15 = 3x + 3x

- 12 = 6x

x = -12 / 6

x = -2

y = 3 - 3(-2)

y = 3 + 6

y = 9

Therefore, the graph will cross at the coordinates (-2, 9)

learn more on equations here: brainly.com/question/19297665

#SPJ1

8 0

2 years ago

Please help! I’ll mark Brainlyest

denpristay [2]

Answer:

Step-by-step explanation:

the answer is x=3 because 4x3 = 12 + 1 = 13. there's your answer. please mark me brainliest!!!

3 0

3 years ago

PLEASE HELPPPPP

dsp73

Answer:

see explanation

Step-by-step explanation:

the equation of parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier.

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute any other point on the graph into the equation.

using (0, 7 )

7 = a(0 - 3)² + 1 ( subtract 1 from both sides )

6 = a(- 3)² = 9a ( divide both sides by 9 )

$\frac{6}{9}$ = $\frac{2}{3}$ = a

y = $\frac{2}{3}$ (x - 3)² + 1 ← in vertex form

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

the equation of a parabola in factored form is

y = a(x - a)(x - b)

where a, b are the zeros and a is a multiplier

here zeros are - 1 and 3 , the factors are

(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)

y = a(x + 1)(x - 3)

to find a substitute any other point that lies on the graph into the equation.

using (0, - 3 )

- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

1 = a

y = (x + 1)(x - 3) ← in factored form

3 0

2 years ago

Two angles are complementary. One angle is labeled 2p+6°. The other angles is labeled 4p°. Find the value of p.

makkiz [27]

Answer:

Value of p is 14

Step-by-step explanation:

$given \: complementary \: angles \: add \: up \: to \: 90 \: degrees \\ then \\ 2p + 6 + 4p = 90 \\ 6p + 6 = 90 \\ 6(p + 1) = 90 \\ p + 1 = \frac{90}{6} \\ p + 1 = 15 \\ p = 15 - 1 \\ p = 14$

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5 0

3 years ago