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3 years ago

HELPPP PLSSSSSSSSSSSSS

Mathematics

1 answer:

Oksana_A [137]3 years ago

3 0

Answer:

x=(-1/10) is the answer of given algebra

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One positive integer is 1 less than twice another. The sum of their squares is 106. Find the integers.

neonofarm [45]

They give us 2 pieces to the puzzle. Both are positive numbers...x and y.
1.) 1 number is 1 less than twice another number. (x = 2y -1)...and
2.) the sum of their squares is 106. (x^2 + y^2 = 106).

substitute the value for x into the second equation.

(2y-1)^2 + y^2 = 106
(2y-1) (2y-1) + y^2 = 106 (use distributive property)
4y^2 - 2y - 2y + 1 + y^2 = 106 (subtract 106 from both sides)
4y^2 - 2y - 2y + 1 + y^2 - 106 = 106 - 106 (combine like terms)
5y^2 - 4y - 105 = 0 (factor)
(y-5) (5y-21) = 0 (set to 0)
y - 5 = 0
y = 5

substitute the 5 into the equation for y (x = 2(5) - 1)
x = 9 if we square 9, we get 81.
subtracted from 106 we have 25...the square root of 25 is 5.

our answers are 5 and 9.

8 0

3 years ago

Pls help ASAP i don’t have time!!!!!

Lesechka [4]

Answer:

Step-by-step explanation:

Let the width be W.

14w=(8*10)

14w=80

The width of the frame needs to be at least 5.7 inches.

6 0

3 years ago

Write 2.04 × 10 ⁴ as an ordinary number

ivann1987 [24]

Answer:

20400

Step-by-step explanation:

its 2.03x10x10x10x10 so first ten: 20.4 and ten: 204 3rd ten: 2040 last ten :20400

8 0

2 years ago

Which inequalities have -0.5, 2.5, and 4 as part of the solution set? Select all that apply.

omeli [17]

Answer:

you’ve tried and have not won, Never stop for crying; All that’s good and great is done Just by patient trying. Though young birds, in flying, fall, Still their wings grow stronger, And the next time they can keep Up a little longer. Though the sturdy oak has known Many a wind that bowed her, She has risen again and grown Loftier and prouder. If by easy work you’re beat, Who the more will prize you? Gaining victory from defeat, That’s the test that tries you

8 0

2 years ago

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What is the discontinuity and zero of the function f(x) = the quantity of 3 x squared plus x minus 4, all over x minus 1? A. Dis

Firlakuza [10]

Answer:

The correct option is D. Discontinuity at (1, 7), zero at (negative four thirds, 0)

Step-by-step explanation:

$\text{The function is given to be : }f(x)=\frac{3x^2+x-4}{x-1}\\\\\implies f(x)=\frac{(3x+4)(x-1)}{(x-1)}$

To find the point of discontinuity :

Put the denominator equal to 0

⇒ x - 1 = 0

⇒ x = 1

Also, if the factor (x - 1) gets cancel, then it becomes a hole rather than a asymptote , ⇒ y = 3x + 4 at x = 1

⇒ y = 7

So, Point of discontinuity : (1, 7)

And the zero is : after cancelling the factor (x - 1) put the remaining factor = 0

⇒ 3x + 4 = 0

⇒ 3x = -4

⇒ x = negative four thirds ( zero of the function)

Therefore, The correct option is D. Discontinuity at (1, 7), zero at (negative four thirds, 0)

4 0

3 years ago

Read 2 more answers