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elena55 [62]
3 years ago
15

Solve inequality 5-3(4x-5)<32

Mathematics
1 answer:
irga5000 [103]3 years ago
6 0

Answer: x > -1

Step-by-step explanation:

1) Subtract 5 from both sides

-3(4x - 5) < 27

2) Divide both sides by -3 (Remember to change the inequality sign to face the other way, because you have multiplied/divided by a negative number)

4x - 5 > -9

3) Add 5 to both sides

4x > -4

4) Divide by 4 on both sides

x > -1

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Solve for x. Write both solution, separated by a comma. 4x^2-x-3=0.
Step2247 [10]

Answer:

x = -3/4, 1

Step-by-step explanation:

Factor left side of the equation.

(4x + 3)(x - 1) = 0

Set factors equal to 0.

4x + 3 = 0

4x = -3

x = -3/4

x - 1 = 0

x = 1

6 0
3 years ago
Read 2 more answers
The polynomial p(x)=x^3-6x^2+32p(x)=x 3 −6x 2 +32p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 6, x, squar
Ray Of Light [21]

Answer:

(x-4)(x-4)(x+2)

Step-by-step explanation:

Given p(x) = x^3-6x^2+32 when it is divided by  x - 4, the quotient gives

x^2-2x-8

Q(x) = P(x)/d(x)

x^3-6x^2+32/x- 4  =  x^2-2x-8

Factorizing the quotient

x^2-2x-8

x^2-4x+2x-8

x(x-4)+2(x-4)

(x-4)(x+2)

Hence the polynomial as a product if linear terms is (x-4)(x-4)(x+2)

8 0
3 years ago
Mrs. Jones has a local bakery. Last week this expression shows how many peanut butter cupcakes she baked. 5 (2x -4) + 3(3 + 4x)
3241004551 [841]

Answer:

A. 22x-11

B. 121 cupcakes

Step-by-step explanation:

Part A:

The simplified form of the expression is

5(2x-4)+3(3+4x)

(10x-20)+(9+12x)

(10x+12x)+(9-20)

22x-11

Part B:

Put x=6 in the above simplified equation to get the number of cupcakes Mrs. Jones bake last week

22x-11

22(6)-11

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121 cupcakes

8 0
3 years ago
there are 435 representatives in the U.S house of representatives. Approximately 12.2% of the representatives are from Californi
tankabanditka [31]
435(12.2/100)

5307/100

53.07 :P  people are integers so about 53 representatives are from California  (Precisely why we have a Senate with two from each state LOL)
4 0
3 years ago
Find a solution to the following system of equations.
Nina [5.8K]

Answer:

A. \displaystyle (2, 5)

Step-by-step explanation:

Plugging these coordinates into the system of equations will give you these genuine statements:

\displaystyle -10 + 5 = -5 \\ -8 + 10 = 2☑

I am joyous to assist you anytime.

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3 years ago
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