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mixer [17]
3 years ago
12

NEED HELP ASAP GIVING BRAINLIST!!!!!!!

Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0

(a) 8(4x+3) > -1 + 7x

32x + 24 > -1 + 7x

32x - 7x > -1 -25

25x >-26

x > -26/25

(b) 167 < 6 + 7(2 - 7r)

167 < 6 + 14 - 49r

49r < 6 + 14 - 167

49r < - 147

r < - 3

(c) 8x + 40 > -8 ( 1 - 7x)

8x + 40 > -8 + 56x

56x - 8x < 48

48x < 48

x < 1

(d)5( 6 + 3r) + 7 > 127

30 + 15r + 7 > 127

15r > 127 - 37

15r > 90

r > 6

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Find the maximum and minimum values of f(x,y) = 8x+y for the polygonal convex set having vertices at (0, 0), (4, 0), (3, 5), (0,
Helen [10]
F(x,y)=8x+y

This means, f is a function where we plug in pairs of numbers.
then, f calculates the first number times 8, to which it then adds the second number we plugged.

let's calculate f for the vertices:

f(0,0)=8*0+0=0+0=0

f(4, 0)=8*4+0=32+0=32

f(3, 5)=8*3+5=24+5=29

f(0, 5)=8*0+5=0+5=5

the maximum value of f is 32
the minimum value of f is 0
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3 years ago
Two angles of a triangle are 28 ∘ and 81 ∘ . What is the measure of the third angle?
klasskru [66]

Answer: 71

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3 years ago
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Step-by-step explanation:

5 0
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The denarius was a unit of currency in ancient rome. Suppose it costs the roman government 101010 denarii per day to support 444
givi [52]

<u>the correct question is</u>

The denarius was a unit of currency in ancient rome. Suppose it costs the roman government 10 denarii per day to support 4 legionaries and 4 archers. It only costs 5 denarii per day to support 2 legionaries and 2 archers. Use a system of linear equations in two variables. Can we solve for a unique cost for each soldier?

Let

x-------> the cost to support a legionary per day

y-------> the cost to support an archer per day

we know that

4x+4y=10 ---------> equation 1

2x+2y=5 ---------> equation 2

If you multiply equation 1 by 2

2*(2x+2y)=2*5-----------> 4x+4y=10

so

equation 1 and equation 2 are the same

The system has infinite solutions-------> Is a consistent dependent system

therefore

<u>the answer is</u>

We cannot solve for a unique cost for each soldier, because there are infinite solutions.

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3 years ago
PLEASE! 10 POINTS! For what number A does the equation 3Ax - 24 = 5x - 9 + x have no solutions for x?
vovikov84 [41]

Answer:

A = 2

Step-by-step explanation:

When there are no solutions for x, both sides x cancel leaving an equation with two distinct numbers equal to each other (e.g. 6 = 0). Therefore, we must find a number A for which that happens.

Lets first simplify the equation, 3Ax - 24 = 5x - 9 + x = 6x - 9.

We want to cancel out the 6x on both sides. This happens when the left side also has 6x, so 3Ax = 6x -> A = 2.

Testing out this works, we get:

6x - 24 = 6x - 9 -> -24 = -9 (which isn’t true)

We get no solutions, which is what we are looking for! Therefore, A = 2 must be our answer!

I hope this helps! :)

6 0
3 years ago
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