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lakkis [162]
3 years ago
9

By using the completing the square method pls with the full procedure by solving it​

Mathematics
1 answer:
Sphinxa [80]3 years ago
7 0

Answer:

1.10 {x}^{2}  - 13x - 3 = 0 \\ product \:  = 10 \times  - 3 \\  =  - 30 \\ sum \:  = 13 \\ factors \:  = ( - 15  \: \: 2) \\ 10 {x}^{2}  - 15x + 2x - 3 = 0 \\ 5x(2x - 3) + 1(2x - 3) = 0 \\ (5x + 1)(2x - 3) = 0 \\ either \: 5x + 1 = 0 \\ 5x =  - 1 \\ x =  -  \frac{1}{5}  \\ or \: 2x - 3 = 0 \\ 2x = 3 \\ x =  \frac{3}{2}  \\ x = 1.5 \\ 2. {x}^{2}  - 2x + 1 = 0 \\  product \:  = 1 \\ sum \:  =  - 2 \\ factors \: ( - 1 \:  - 1) \\  {x}^{2}  - x - x + 1 = 0 \\ x(x - 1) - 1(x - 1) = 0 \\ (x - 1)(x - 1) = 0

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE A GREAT DAY.

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We need to see the graphs to answer the questions bro, no disrespect.
8 0
3 years ago
If if 30 per increase in the salary of usman results in rs.4500 what was the actual salary of usman​
olga_2 [115]

Answer:

The actual salary of usman was Rs. 3461.53

Step-by-step explanation:

Given that:

Percent increase in salary = 30%

Total salary percent would be = (100+30)% = 130%

Salary after increment = Rs. 4500

Let,

x be the actual salary before increase.

According to given statement,

130% of x = 4500

\frac{130}{100}x=4500\\1.3x=4500

Dividing both sides by 1.3

\frac{1.3x}{1.3}=\frac{4500}{1.3}\\x=Rs 3461.53

Hence,

The actual salary of usman was Rs. 3461.53

7 0
3 years ago
A recipe calls for 2 cups of butter for every 5 cups of flour. Question 1 Part A What is the ratio of flour to butter? Write the
grandymaker [24]

Answer:

The answer is 5:2 5 to 2 5/2.

3 0
3 years ago
The quadratic equation: y=x^2+2x-8 is in standard form. What is the vertex and factored form equivalent to this? Also solve for
Valentin [98]
V (-1,-9)
Y=1(x+1)^2-9
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7 0
3 years ago
Please Help! A bag contains four green marbles and five yellow marbles. You randomly select three marbles. What is the probabili
maxonik [38]

Answer:

A. 0.088

B. 0.048

C. 1.83 times

Step-by-step explanation:

From the question given above, the following data were obtained:

Green (G) = 4

Yellow (Y) = 5

Total = 4 + 5 = 9

A. Determination of the probability of selecting three green marbles with replacement.

Green (G) = 4

Yellow (Y) = 5

Total = 9

P(1st G) = 4/9

P(2nd G) = 4/9

P(3rd G) = 4/9

P(all G) = P(1st G) × P(2nd G) × P(3rd G)

P(all G) = 4/9 × 4/9 × 4/9

P(all G) = 64/729

P(all G) = 0.088

B. Determination of the probability of selecting three green marbles without replacement.

Green (G) = 4

Yellow (Y) = 5

Total = 9

P(1st G) = 4/9

P(2nd G) = 3/8

P(3rd G) = 2/7

P(all G) = P(1st G) × P(2nd G) × P(3rd G)

P(all G) = 4/9 × 3/8 × 2/7

P(all G) = 24/504

P(all G) = 0.048

C. Comparing probability of replacement and without replacement.

P(all G with replacement) = A = 0.088

P(all G without replacement) = B = 0.048

A/B = 0.088/0.048

A/B = 1.83

Cross multiply

A = 1.83 × B

Thus,

P(all G with replacement) = 1.83 × P(all G without replacement)

5 0
4 years ago
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