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Alex
3 years ago
8

Solve the following inequality: –1 > –2(x – 4) – 5(4x – 7).

Mathematics
2 answers:
iragen [17]3 years ago
8 0
-1>-2(x-4)-5(4x-7)
-1>-7(5x-11)
+7  +7
6>5x-11
+11  +11
17>5x
/5  /5
3.4>x
x<3.4
IRINA_888 [86]3 years ago
3 0
You will want to solve for x.
-1>-2(x-4)-5(4x-7)           Multiply
-1>-2x+8-20x+35            Add like terms
-1>-22x+43                     Subtract 43 from both sides
-44>-22x                         Divide -22 (since negative, flip inequality sign)
2<x                                 The answer

So x>2

I hope this helps... Have a great day!
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About how many times greater is 12,000 miles than 3 • 10^3 miles?
Ad libitum [116K]

Answer:

3•10^3 is 3,000, so the answer is 9,000

8 0
3 years ago
What is the product of -2x^3+x-5 and x^3-3x-4 ? (a) Show your work
saul85 [17]

Answer:

-3x3 - 2x - 4

Step-by-step explanation:

 ((((2•(x3))+x)-5x3)-3x)-4

 (((2x3 +  x) -  5x3) -  3x) -  4

Pulling out like terms :

4.1     Pull out like factors :

  -3x3 - 2x - 4  =   -1 • (3x3 + 2x + 4)

Polynomial Roots Calculator :

4.2    Find roots (zeroes) of :       F(x) = 3x3 + 2x + 4

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  3  and the Trailing Constant is  4.

The factor(s) are:

of the Leading Coefficient :  1,3

of the Trailing Constant :  1 ,2 ,4

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -1.00    

     -1       3        -0.33        3.22    

     -2       1        -2.00        -24.00    

     -2       3        -0.67        1.78    

     -4       1        -4.00        -196.00    

     -4       3        -1.33        -5.78    

     1       1        1.00        9.00    

     1       3        0.33        4.78    

     2       1        2.00        32.00    

     2       3        0.67        6.22    

     4       1        4.00        204.00    

     4       3        1.33        13.78    

Polynomial Roots Calculator found no rational roots

Final result :

 -3x3 - 2x - 4

Processing ends successfully

plz mark me as brainliest :)

8 0
3 years ago
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Gekata [30.6K]
It’s not a good idea to beg
4 0
3 years ago
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Plz somebody help me <br>​
Dennis_Churaev [7]

Answer:

Option 3

Step-by-step explanation:

It is the only one that increases by 8 just like the pattern

7 0
3 years ago
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A plane averaged 800 mph on a trip going​ east, but only 400 mph on the return trip. The total flying time in both directions wa
galina1969 [7]

Answer:

1200 miles.

Step-by-step explanation:

Let d represent one way distance.

We have been given that a plane averaged 800 mph on a trip going​ east, but only 400 mph on the return trip.

\text{Time}=\frac{\text{Distance}}{\text{Speed}}

The time taken while going east would be \frac{d}{800}.

The time taken while returning back would be \frac{d}{400}.

Since the total flying time in both directions was 4.5 hr, so we will equate sum of both times with 4.5 as:

\frac{d}{800}+\frac{d}{400}=4.5

Make a common denominator:

\frac{d}{800}+\frac{d*2}{400*2}=4.5

\frac{d}{800}+\frac{2d}{800}=4.5

\frac{d+2d}{800}=4.5

\frac{3d}{800}=4.5

\frac{3d}{800}\times \frac{800}{3}=4.5\times \frac{800}{3}

d=1.5\times \frac{800}{1}

d=1200

Therefore, the one-way distance was 1200 miles.

5 0
2 years ago
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