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Mathematics

1 answer:

OLEGan [10]2 years ago

6 0

Answer:

3x + 2 >= 0

Step-by-step explanation:

Since this is a 4th root, not a cubic root, the radical can only contain 0 or positive numbers. Therefore there is 3x + 2 >= 0.

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The function of f is defined by f(x)=x²-2x-24, find the range of f

mars1129 [50]

Answer:

[-25, ∞) , {y|y ≥ -25}

Step-by-step explanation:

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4 0

3 years ago

The area of a rectangle is 6x^2-9x-15. And the length is (2x-5). Which expression best represents the rectangle’s width?

tester [92]

<h2><u>AnswEr :</u> </h2>

The area of the rectangle is of the form 6x² - 9x - 15

Factoring the given expression,

$\sf \: {6x}^{2} - 9x - 15 \\ \\ \leadsto \: \sf \: 3\bigg( {2x}^{2} - 3x - 5 \bigg) \\ \\ \leadsto \: \sf \: 3 \bigg( {2x}^{2} - 5x + 2x - 5 \bigg) \\ \\ \leadsto \: \sf \: 3 \bigg((2x - 5)(x + 1) \bigg)$

Length of the rectangle is 2x - 5

Thus,

$\leadsto \: \sf \: (2x - 5)(3x + 3)$

<h3>The breadth of the rectangle is 3x + 3 </h3>

4 0

3 years ago

There are chicken and rabbits on a farm. You count 98 legs and your friend counts 30 heads. How many chickens and how many rabbi

jarptica [38.1K]

Chickens have 1 head and 2 legs
rabbits had 1 head and 4 legs

total heads is 30
c+r=30
total legs is 98
2c+4r=98
divide by 2
c+2r=49

multiply top equation by -1 and add to 2nd equation

-c-r=-30
<u>c+2r=49 +</u>
0c+1r=19

r=19

sub back
c+r=30
c+19=30
minus 19
c=11

11 chickens
19 rabbits

6 0

3 years ago

a total of 582 tickets were sold for the school play. they were with adult tickets or student tickets. there were 68 fewer stude

topjm [15]

Answer:

$257$ adult tickets