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Fiesta28 [93]
3 years ago
9

Georgia has a budget of $8 for a new notebook. She wants to spend within $5 of her budget, so she uses the equation 5 = |8 – x|

to find the maximum and minimum values. What are the solutions to the equation?
Mathematics
1 answer:
siniylev [52]3 years ago
5 0

Answer:

Minimum: 3

Maximum: 13

Step-by-step explanation:

Georgia uses the equation

5 = |8 – x| to find the maximum and minimum values.

We solve the equation for x.

5 =  |8 - x|

By the definition of the absolute value function, we must have:

- 5 = 8 - x \: or \: 5 = 8 - x

We subtract 8 from both sides to get:

- 5 - 8 =  - x \: or \: 5 - 8 =  - x

- 13 =  - x \: or \:  - 3 =  - x

This simplifies to:

13 =  x \: or \:  3 = x

Therefore the minimum value is 3 and maximum is 13

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YALL HURRYY I NED HELP!
elena-s [515]

Answer:

A = correct equation

x = 60

Step-by-step explanation:

__+ 65 = 125

x + 65 = 125

x = 60

60 + 65 = 125

Hope it helps!

3 0
3 years ago
A l-meter steel rod is bent into a rectangle so that its length exceeds quadruple its width
Dmitry_Shevchenko [17]

Answer:

The dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

Step-by-step explanation:

Given,

A 1 meter steel rod is bent into a rectangle.

That means the perimeter of the rectangle is 1 meter.

So, Perimeter = 1\ m=100\ cm

Let the width of the rectangle be 'x'.

Now According to question, length exceeds quadruple its width by 5 cm.

Hence framing the above sentence in equation form, we get;

Length=4x+5

Now we use the formula of  perimeter of rectangle,

Perimeter=2(Length+width)

On substituting the values, we get;

2(4x+5+x)=100\\\\(5x+5)=\frac{100}{2}\\\\5x+5=50\\\\5x=50-5\\\\5x=45\\\\x=\frac{45}{5}=9

Now, we substitute the value of x to get the value of length;

Length=4x+5=4\times9+5=36+5=41\ cm

Thus, Width=9 cm    Length=41 cm

Hence the dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

6 0
3 years ago
I am stuck on this question of my maths test.
V125BC [204]

Answer:

angle y

58 + 38 + y = 180 (angle sum property)

96 + y = 180

y = 180 - 96

y = 84

angle x

x = 29 (58/2)

(angle subtended by an arc at centre is double the arc at any point on remaining part of centre)

the values of x = 29 and y = 84

6 0
3 years ago
Put the equation 3x - y > 9 into slope-intercept form (y = mx + b) but keep the inequality. (Don't change the sign to equals
Anni [7]

Answer:

y greater . ...3x-9

Step-by-step explanation:

  • ddsthykfdsfudfd
7 0
3 years ago
Read 2 more answers
Luca pays $165 per month for his car loan and an average of $2.30 per gallon of gas. He wants to keep his car expenses under $30
KiRa [710]

Answer:

58.69 gallons is the maximum she can get.

Step-by-step explanation:

165 + 2.3g ≤ 300

subtract 165 from both sides

2.3g ≤ 135

divide by 2.3 on both sides

g ≤ 58.6956521739

7 0
3 years ago
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