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Fiesta28 [93]
3 years ago
6

A pedro earns 2464 a month. his expenses are at least $1,999 write and solve an inequality to find the possible amounts Pedro ca

n save each month.
Mathematics
1 answer:
Otrada [13]3 years ago
5 0
His disposable income after expenses is 2464-1999=465 at most. If x represents his expenses and y his savings, then 1999≤x≤2464 and y≤2464-x | 1999≤x≤2464. Set x to the lower limit and y≤465 and then set x to the upper limit so y≤0.
Since Pedro can only save a strictly positive amount, 0
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Solve the inequality.−8≤2/5(k−2)<br><br> The / is not a division sign.
Dvinal [7]

Answer: x is grater or equal to -18

Inter el notation

[-18,oo)

Step-by-step explanation:

7 0
3 years ago
If p, q are zeroes of polynomial f(x) =2x^2-7x+3,find the value of p^2+q^2​
Elza [17]

Answer:

p^2 + q^2 = 22/9.

Step-by-step explanation:

For a quadratic function ax^2 + bx + c if the zeroes are A and B then

A + B = -b/a and AB =  c/a.

2x^2 - 7x + 3

Now p and q are the zeroes of the above function so

p + q =  7/3 and pq = 3/2.

Now p^2 + q^2 = (p + q)^2 - 2pq

= (7/3)^2 - 2* 3/2

=  49/9 - 3

= 49/4 -  27/9

= 22/9.

4 0
3 years ago
A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. how far away from the building is the b
zaharov [31]

The distance between the building and the ladder is 34.876 foot.

<h3>What is a Right Triangle?</h3>

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base /  Hypotenuse

cos 29.32 = Base / 40

0.8718 × 40 = Base

Base = 34.876 foot

Base is the distance between the building and the ladder.

Base of the ladder = 34.876 foot

To learn more about trigonometric functions from the given link

brainly.com/question/24336684

#SPJ4

8 0
2 years ago
What is 6(m + 4) =_m +_
Zielflug [23.3K]

Answer:

6m+24

Step-by-step explanation:

basically you multiply m and 4 by six soooo

6 times m is 6x

6 times 4 is 24

soo

6m+24 is correct

can i have rainliest pleaseee:)b

5 0
3 years ago
Find the value of sin(a/2) if cosa= 12/13<br>​
daser333 [38]

Answer: sin\frac{a}{2} = ± \frac{1}{\sqrt{26} }

Step-by-step explanation:

We very well know that,

cos2A=1−2sin²A

⟹ sinA = ±\sqrt{(1-} \frac{cos2A}{2} )

As required,  set A = \frac{a}{2}   &   cos a=  \frac{12}{13}    ,thus we get

sin \frac{a}{2} =± \sqrt{\frac{1-cos a}{2} }  

∴ sin\frac{a}{2} =±\sqrt{\frac{1-\frac{12}{13} }{2} } = ± \frac{1}{\sqrt{26} }

   since ,360° < \frac{a}{2} <450°

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Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.

hope it helped!

   

5 0
3 years ago
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