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4 years ago

For what values of x is the inequality 15>_5x true?

Mathematics

1 answer:

ruslelena [56]4 years ago

7 0

Answer:

-3 < x

Step-by-step explanation:

15 > -5x

Divide each side by -5, remembering to flip the inequality since we are dividing by a negative

15/-5 < -5x/-5

-3 < x

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Use prime factorization to find the greatest common factor of 56 and 84

sdas [7]

Answer:

Step-by-step explanation:

Hope this helped.

6 0

3 years ago

The sum of the roots of 3x 2 + 11x - 4 = 0 is -11/3 -4/3 11/3 4/3

givi [52]

Answer:

The correct option is 1.

Step-by-step explanation:

If a quadratic equation is defined as

$ax^2+bx+c=0$ .... (1)

Then the sum of the roots is -b/a and the product of roots is c/a.

The given equation is

$3x^2+11x-4=0$ ... (2)

From (1) and (2) we get a=3, b=11 and c=-4.

The sum of roots is

$\frac{-b}{a}=-\frac{11}{3}$

The sum of roots is $-\frac{11}{3}$ .

Therefore the correct option is 1.

5 0

4 years ago

a total of $9500 is invested, part at 10% simple interest and part at 9%. if the total annual return from the two investments is

Nutka1998 [239]

a total of $9500 is invested, part at 10% simple interest and part at 9%

if the total annual return from the two investments is $914.00

Amount invested = 9500

Total amount return means total yield = $914

Let x amount is invested at 10% simple interest

Interest for first part = 10 % times x = 0.10x

Remaining part invested is 9500 -x

Interest for remaining amount = 9% (9500 -x) = 0.09(9500-x)

Total interest yield is 914. Now we frame an equation

0.10x + 0.09(9500-x) = 914

0.10x +855 - 0.09x = 914 (combine like terms)

0.01 x + 855 = 914 (subtract 855)

0.01x = 59 ( divide both sides by 0.01)

So x = 5900

$5900 is invested in 10% simple interest

9500 - 5900 = $3600 is invested in 9% simple interest

3 0

4 years ago

Solve the matrix equation below

Ket [755]

Answer:

We need to distribute the values
Hence [-4 0: 0 - 2 ] +[0 -3: 5 -4] X + [ 0 -3: 5 -4 ] = [19 -27 : 10 -24]

6 0

3 years ago

Can someone please help me with math.

olasank [31]

Answer:

Its C

Step-by-step explanation:

3 0

3 years ago