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Yakvenalex [24]
3 years ago
9

Solution set for 5x + 38

slant " align="absmiddle" class="latex-formula">
is less than 4(2-5x)​
Mathematics
2 answers:
sdas [7]3 years ago
7 0

Answer:

x ≤ -6/5

Step-by-step explanation:

5x + 38 ≤ 4 (2 - 5x)

5x + 38 ≤ 8 - 20x

5x + 20x ≤ 8 - 38

25x ≤ -30

x ≤ -30÷25

<u>x ≤ -6/5</u>

erica [24]3 years ago
7 0

Answer:

{ x / x ≤ -6/5 } is the solution set of the given inequality.

Step-by-step explanation:

We have given an inequality :

5x + 38 <= 4(2-5x)​

We have to find  the solution set of the given inequality.

So,

5x + 38 ≤ 4(2-5x)​  

5x + 38 ≤ 8 - 20x

Combining like terms we get,

5x +20x ≤ 8 -38

25x ≤ -30

x ≤ -6/5

{ x / x ≤ -6/5 } is the solution set of the given inequality.

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Find the 12th term of the arithmetic sequence given a3=116 and a7=180<br>​
SOVA2 [1]

Answer:

Step-by-step explanation:

nth term = a +(n-1)d

a3 = 116 ;   a + 2d = 116 ---------(i)

a7 = 180;   a + 6d = 180 -------(ii)

multiply (ii) by -1. so a will be eliminated

           a + 2d = 116 ---------(i)

(ii)*-1    <u>-a - 6d = -180</u> -------(ii)   { Now add the two equations}

              - 4d = -64

                   d = -64/-4

                  d = 16

Plug in the value of d in equation (i),

a + 2*16 = 116

a + 32 = 116

        a = 116 - 32

        a = 84

12th term = 84 + 11* 16 = 84 + 176 = 260

5 0
3 years ago
What relations are functions
Inessa05 [86]

The requirement is that every element in the domain must be connected to one - and one only - element in the codomain.


A classic visualization consists of two sets, filled with dots. Each dot in the domain must be the start of an arrow, pointing to a dot in the codomain.


So, the two things can't can't happen is that you don't have any arrow starting from a point in the domain, i.e. the function is not defined for that element, or that multiple arrows start from the same points.


But as long as an arrow start from each element in the domain, you have a function. It may happen that two different arrow point to the same element in the codomain - that's ok, the relation is still a function, but it's not injective; or it can happen that some points in the codomain aren't pointed by any arrow - you still have a function, except it's not surjective.

6 0
3 years ago
Frank starts off with $ 120 to spend on his shirts and shoes. Frank buys 3 shirts for $15.50 each. Shoes cost $32.50 each per pa
evablogger [386]
Shirts:  3 x 15.50 = 46.50

120 - 46.50 = 73.50 left to spend on shoes

73.50/32.50(cost per pair) = 2.26....so he was able to purchase 2 pairs of shoes.
4 0
3 years ago
If you want Brainliest! You gotta earn it by obviously helping! I need help ASAP, please!
masha68 [24]

Answer:

\theta=1.72  radians

Step-by-step explanation:

Arc length and radius is given. So, we need to know the arc length formula for a circle.

That is:

s=r\theta

Where s is the arc length

r is the radius

\theta  is the angle (IN RADIANS)

We have:

s = 15.5

r = 9

Now, we substitute and find the angle:

s=r\theta\\15.5=9\theta\\\theta=\frac{15.5}{9}\\\theta=1.72

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3 years ago
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masha68 [24]

\dfrac{5}{7}\ of\ 100:\\\\\dfrac{5}{7}\cdot100=\dfrac{5\cdot100}{7}=\dfrac{500}{7}=\dfrac{70+28+2}{7}=\dfrac{70}{7}+\dfrac{28}{7}+\dfrac{2}{7}\\\\=10+4+\dfrac{2}{7}=14\dfrac{2}{7}\\\\\dfrac{2}{7}\ \text{is smaller than}\ \dfrac{1}{2}.\ \text{Therefore}\ 14\dfrac{2}{7}\approx14\\\\Answer:\ \boxed{14}

7 0
3 years ago
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