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joja [24]
3 years ago
9

What are the solutions to the equation y2 – 1 = 48?

Mathematics
1 answer:
Furkat [3]3 years ago
6 0

{y}^{2}  - 1 = 48 \\  {y}^{2}  = 49 \\ y =  \sqrt{49}  \\ y =  - 7 \: or \: 7

{y}^{2}  - 1 = 24 \\  {y}^{2}  = 25 \\ y =  \sqrt{25}  \\ y =  - 5 \: or \: 5

Hope this helps. - M
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Please answer soon.
Eva8 [605]

<u>Answer-</u>

Set of constraints to model the problem are,

12x+9y\geq 510\\y \leq 2x\\y \geq 25

<u>Solution-</u>

Let us assume,

x = the number of lawns weeded by Gwen,

y = the number of dogs walked by Fabio.

Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog,

\text{Earnings of Gwen} = 12x\\\text{Earnings of Fabio} = 9y\\\text{Total earnings of Gwen and Fabio} = 12x+9y

They need at least $510 to purchase the new gaming station, means they need $510 or more than $510.

An equation for this situation will be,

12x+9y\geq 510

The number of dog walked by Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed, means y must be less than or equal to 2x.

An equation for this situation will be,

y \leq 2x

Fabio will walk at least 25 dogs, means y must be greater than of equal to 25.

An equation for this situation will be,

y \geq 25


3 0
4 years ago
name a fraction that is less than or greater than the given fraction. draw to justify your answer. greater than 1/3 -
Lera25 [3.4K]
1/3= .333333333...
Less then: 1/4 =.25
.25<.33
Greater then : 1/2= .5 
.5>.33
5 0
3 years ago
Consider the quadratic equation ax^2+bx+5=0, where a, b, and c are rational and the quadratic has two didstinct zeros if one zor
erica [24]

Answer:

It can either be rational or irrational

Step-by-step explanation:

Given the quadratic equation ax²+bx+5 = 0, to get the zeros of the function, we will factorize the function to have;

ax²+bx = -5

x(ax+b) = -5

x = -5 and ax+b = -5

From the second function we have;

ax+b = -5

ax = -5-b

x = -5-b/a

This shows that the other value of x can be rational or irrational depending on the values of a and b

3 0
3 years ago
3/4 -7/10 -3/4 8/10 least to greatest
Nastasia [14]
7/10,8,10,3/4,3/4 is the answer
4 0
3 years ago
In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=71°, and JH = 2 feet. Find the length of IJ to the nearest tenth of a foot.
Dmitrij [34]

Answer:

IJ is 5.8 ft

Step-by-step explanation:

Here, we want to calculate the length of IJ

to Find IJ, we need the appropriate trigonometric ratio

The trigonometric ratio to use in this case is the one that connects the opposite and the adjacent

from the question, IJ is the opposite

This is the side facing the given angle

HI is the hypotenuse which is the side facing the right-angle

HJ is the third side which is the adjacent

Mathematically;

That is the Tan

Tan 71 = IJ/2

IJ = 2 Tan 71

IJ = 5.8

3 0
3 years ago
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