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grigory [225]
4 years ago
14

Solve using quadratic equation: 6x^2 + 7x +2=0

Mathematics
1 answer:
Alika [10]4 years ago
3 0
Step 1: Factor left side of equation.

(3x+2)(2x+1)=0

Step 2: Set factors equal to 0.

3x+2=0 or 2x+1=0

x=−23 or x=−12

Answer:

x=−23 or x=−12

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Riley is saving up to buy a new television. She needs a total of $1,049.77. Riley has saved $200.79 already and earns $77.18 per
Xelga [282]

11 weeks are required for Riley to work to save enough money to buy the new television

<h3><u>Solution:</u></h3>

Given that Riley needs a total of $1,049.77

Riley has saved $200.79 already and earns $77.18 per week at her job

To find: Number of weeks Riley need to work to save enough money to buy the new television

Remaining amount needed = $1,049.77 -  $200.79

Remaining amount needed = $ 848.98

Let "n" be the number of weeks Riley need to work to save enough money to buy the new television

Also she earns $77.18 per week at her job

1 week ⇒ $ 77.18

"n" weeks ⇒ $ 848.98

Therefore, by cross multiplication,

n \times 77.18 = 1 \times 848.98\\\\n = \frac{848.98}{77.18}\\\\n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

<h3><u>Method 2:</u></h3>

<em>Total amount = amount already saved + ($77.18 per week at her job)("n" weeks)</em>

1,049.77 = 200.79 + (77.18)(n)

1049.77 - 200.79 = 77.18n

848.98 = 77.18n

n = \frac{848.98}{77.18}

n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

5 0
4 years ago
A farmer has some cows and horses. All the animals are either brown or black. The table shows how many of each
ludmilkaskok [199]

Answer:

P = 1/5 = 0.20 = (20%)

Step-by-step explanation:

there are 12 horses and 8 cows, in total there are 20 animals

of which 4 horses are brown

Then

P=\frac{4}{20} =\frac{1}{5}

Hope this helps

5 0
2 years ago
How do you know that 50 is not a perfect square?
Alexus [3.1K]
We can always do a prime factoring of it, and check

50 = 2*5*5
        2*5²

a perfect square, so-called, is the resulting number of a squared value, well 50 is not the result of anything squared, is the result of 3 factors, in this case 2,5 and 5.

a perfect square will be something like say 64, or 144, because

64 = 8*8
        8²

144 = 12*12
          12²
6 0
3 years ago
Geometry question :) could use some help
Step2247 [10]

Answer:

statement A

Step-by-step explanation:

If the ratio

\frac{QT}{TR} = \frac{QU}{US}

then TU is parallel to RS

\frac{QT}{TR} = \frac{32}{36} = \frac{8}{9}

\frac{QU}{US } = \frac{40}{45} = \frac{8}{9}

Since the ratios are equal then line segment TU is parallel to line segment RS

3 0
3 years ago
The base and height of any polygon must be
sweet-ann [11.9K]

Answer:

Perpendicular (right angle)

Step-by-step explanation:

hope this  helps!

8 0
3 years ago
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