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Kitty [74]
3 years ago
11

Compound inequalities

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
7 0
Thank goodness for you I do not have a credit for the math question mark so I do thank goodness for you I did not know what you did do not answer please please answer answer question answer answer me thank the answer please please answer please please thank thank goodness
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The sum of a number and its square is 182. Find the number.
Mars2501 [29]

Answer:

13 and -14 satisfy this condition

Step-by-step explanation:

Let's represent that number as x

and the square of x is x^2

So,

x + x^2 = 182

Subtract 182 from both sides

x + x^2 - 182 = 182 - 182

x + x^2 - 182 = 0

rearrange the quadratic equation

x^2 + x -182 = 0

let's use the quadratic formula

\frac{-b+\sqrt{b^2-4ac} }{2a}       or      \frac{-b-\sqrt{b^2-4ac} }{2a}

a = 1, b = 1, c = -182

\frac{-1+\sqrt{1^2-4*1*(-182)} }{2*1}       or     \frac{-1-\sqrt{1^2-4*1*(-182)} }{2*1}

\frac{-1+\sqrt{1+728} }{2}      or         \frac{-1-\sqrt{1+728} }{2}

\frac{-1+\sqrt{729} }{2}            or    \frac{-1-\sqrt{729} }{2}

\frac{-1+{27} }{2}     or    \frac{-1-{27} }{2}

\frac{26}{2}     or    \frac{-28}{2}

13 or    - 14

Lets check

13 + 13^2 = 13 + 169

= 182

Also,

-14 + (-14^2) = -14 + 196

= 182

8 0
3 years ago
Evaluate the expression. ​ (26÷13)⋅(−7)+14−4 ​
Bas_tet [7]
Follow pemdas. Evaluate operations in parentheses first.
2*(-7)+14-4

Then multiply
-14+14-4

Then add and subtract from left to right
-14+14=0
0-4=-4

Final answer: -4
6 0
3 years ago
Read 2 more answers
Find two positive numbers so that twice their sum equals their product and one number is 10 times the other number. Enter the sm
Softa [21]

Answer:

Step-by-step explanation:

We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:

y = 10x

Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:

2(x + y) = xy and we know that y = 10x so

2(x + 10x) = x(10x) and

2(11x)=10x^2 and

10x^2-22x=0 and

x(10x - 22) = 0 so

x = 0 or 10x - 22 = 0 which makes

x equal to \frac{22}{10}=2.2

So x = 2.2 and y = 22.

7 0
3 years ago
Must show all work for 15 points
andreyandreev [35.5K]

Answer:

Hey there!

a)

10x-1=4x+2

6x-1=2

6x=3

x=1/2 cm.

10x-1=4 cm.

So the width of the rectangle is 10/4, or 2.5 cm.

b)

l=3w

2l+2w=24

2(3w)+2w=24

6w+2w=24

8w=24

w=3

l=9

The are is 27 units squared.

Let me know if this helps :)

3 0
3 years ago
Solve for x. Use the quadratic formula. 3x2+7x+3=0 Enter the solutions, in simplified radical form, in the boxes. x = or x =
BartSMP [9]

Answer:


Step-by-step explanation:

X= (-7+radical 13)/6

X=(-7-radical 13)/6

5 0
3 years ago
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