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-BARSIC- [3]
3 years ago
10

Solve for x: - 11x + 32.5 < 82

Mathematics
1 answer:
V125BC [204]3 years ago
8 0

Answer:

x>-4.5

Step-by-step explanation:

- 11x + 32.5 < 82

Subtract 32.5 from each side

- 11x + 32.5-32.5 < 82-32.5

- 11x  < 49.5

Divide each side by -11. remembering to flip the inequality since we are dividing by a negative

-11x/-11 > 49.5/-11

x>-4.5

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The circle given by : x^2 + y^2 - 6y - 12 = 0 can be written as:
deff fn [24]

Step-by-step explanation:

Given equation of circle is,

{x}^{2}  +  {y}^{2}  - 6y - 12 = 0 \\ by \: compairing \: it \: with \:   \\ {x}^{2}  +  {y}^{2}   + 2gx + 2fy = 0 \: we \: get \\2 g = 0 \: or \: g = 0 \\ 2f=  - 6 \\ or \: f=  - 3 \\ c =  - 12

again the another form of circle is,

{x}^{2}  +  {(y - k)}^{2}  = 21 \\ or \:  {x}^{2}  + {y}^{2}  - 2ky +  {k}^{2}  - 21 = 0 \\ by \: compairing \:it \: with \:  \\ {x}^{2}  +  {y}^{2}   + 2gx + 2fy = 0 \: we \: get  \\ g = 0 \\f =  - k \\ c =  {k}^{2}  - 21

now equating the values of f in both equations,

-k=-3

i.e. k=3

therefore k=3

4 0
3 years ago
The area of a rectangular raised garden bed for growing beets is given by the expression(3b)(3b-3). The length, l, of the mat is
mars1129 [50]

Answer:

C and D

Step-by-step explanation:

The area of a rectangular raised garden bed for growing beets is given by the expression (3b)(3b-3).

The area of the rectangle is

A=\text{Width}\cdot \text{Length}

Thus,

\text{Width}=3b\\ \\\text{Length}=3b-3

or

\text{Width}=3b-3\\ \\\text{Length}=3b

The length of the mat is greater than its width. Since

3b>3b-3

then

\text{Width}=3b-3\\ \\\text{Length}=3b

Options A and B are false, options C and D are true.

7 0
3 years ago
What is the zeros for the equation f(x) =
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Answer:

B. and E.

Step-by-step explanation:

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3 years ago
A patrolman spends 25% every day doing paperwork. The patrolmans shift each day is 8 hours. How much time does he spend doing pa
ExtremeBDS [4]
2 hours. If you convert 25% into a fraction form, it’s 1/4. Divide 8 by 4 and you get 2.
7 0
3 years ago
Roman missed 7 out of 90 problems on a math test. What percent of the questions did he answer correctly
Pavlova-9 [17]

Answer:

%93

Step-by-step explanation:

90-7=83

83/90=.93

8 0
4 years ago
Read 2 more answers
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