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3 years ago

There are 4 consecutive odd integers with a sum of 128

Mathematics

2 answers:

Free_Kalibri [48]3 years ago

5 0

29, 31, 33, & 25. Those are all odd and if added up equal 128

Kitty [74]3 years ago

3 0

29+31+33+35=128
they are consecutive

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Which statement describes if there is an extraneous solution to the equation √x-3 = x-5? A. there are no solutions to the equati

Brrunno [24]

Remember that an extraneous solution of an equation, is the solution that emerges from solving the equation but is not a valid solution.

Lets solve our equation to find out what is the extraneous solution:
 $\sqrt{x-3} =x-5$
$(\sqrt{x-3})^2 =(x-5)^2$
$x-3=x^2-10x+25$
$x^2-11x+28=0$
$(x-4)(x-7)=0$
$x-4=0$ and $x-7=0$
$x=4$ and $x=7$

So, the solutions of our equation are $x=4$ and $x=7$ . Lets replace each solution in our original equation to check if they are valid solutions:
- For $x=7$
$\sqrt{x-3} =x-5$
$\sqrt{7-3} =7-5$
$\sqrt{4} =2$
$2=2$
We can conclude that 7 is a valid solution of the equation.

- For $x=4$
$\sqrt{x-3} =x-5$
$\sqrt{4-3} =4-5$
$\sqrt{1} =1$
$1 \neq 1$
We can conclude that 4 is not a valid solution of the equation; therefore, 4 is a extraneous solution.

We can conclude that the correct answer is: D. the extraneous solution is x = 4

7 0

2 years ago

The ratio of two complementary angles is 5:4. Find the measure of both angles.

grandymaker [24]

Answer:

50 degrees and 40 degrees

Step-by-step explanation:

50 degrees and 40 degrees

complimentary = add up to 90 degrees

5:4:9

50:40:90

7 0

3 years ago

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HELP ASAP question 5!!!

AnnyKZ [126]

Step-by-step explanation:

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3 years ago

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A chocolate chip cool recipe asks for one and one half times as much flour as chocolate chips. If there and three quarters cups

mars1129 [50]

Answer:

1.5 quarters of chocolate

Step-by-step explanation:

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3 years ago

The area of a rectangle is 28 m', and the length of the rectangle is 1 m more than twice the width. Find the dimensions of the r

Marianna [84]

Answer:

8m ×3.5m

Step-by-step explanation:

Area of rectangle= length ×width

Let the length and width of the rectangle be L and W meters respectively.

Area of rectangle= LW

LW= 28 -----(1)

L= 2W +1 -----(2)

Subst. (2) into (1):

(2W +1)(W)= 28

Expand:

2W² +W= 28

-28 on both sides:

2W² +W -28= 0

Factorise:

(W +4)(2W -7)= 0

W +4=0 or 2W -7=0

W= -4 (reject) or W= 3.5

Substitute W= 3.5 into (2):

L= 2(3.5) +1

L= 7 +1

L= 8

∴ The dimensions of the rectangle is 8m ×3.5m.

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3 years ago