write the root of x in ax^2+bx+c=0​

Answer:

The quadratic equation is;

y = 3x^2-7x + 5

when x = 4, y = 25

Step-by-step explanation:

Mathematically, the general form of a quadratic equation is;

y = ax^2 + bx + c

From the first point, we have that x = 0

Thus;

5 = a(0)^2 + b(0) +c

c = 5

Now, in a case when x is 2

3 = a(2)^2 + b(2) + 5

3 = 4a + 2b + 5

4a + 2b = -2 ••••••(i)

when x = 6

71 = a(6)^2 + b(6) + 5

66 = 36a + 6b ••••••(ii)

From equation i,

2b = -2-4a ••••(iii)

we can rewrite equation ii as

66 = 36a + 3(2b)

Substitute iii into ii

66 = 36a + 3(-2-4a)

66 = 36a - 6 - 12a

66 + 6 = 36a -12a

24a = 72

a = 72/24

a = 3

Recall;

2b = -2-4a

2b = -2-4(3)

2b = -2-12

2b = -14

b = -14/2

b = -7

So the quadratic equation would be;

y = 3x^2 -7x + 5

Now let us test;

when x = 10, y = 235

That would be:

y = 3(10)^2 -7(10) + 5

y = 300 - 70 + 5

y = 235

This shows that the derived quadratic equation is correct

Now, when x = 4; we have it that;

y = 3(4)^2 -7(4) + 5

y = 48 -28 + 5

y = 20 + 5 = 25

Answer:

78732

Step-by-step explanation:

Answer: 7 yards

Step-by-step explanation:

Answer:

80% chance she will not be chosen

Step-by-step explanation:

the ratio of students picked would be 2:10 so there would be 8:10 students not chosen that is 80%. 20% chance she would be chosen.

I hope this is correct!

The probability that Aretha will not be chosen is 0.8.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Given that, Aretha's teacher will choose two students from a class of 10 to prepare a display.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Probability of choosing 2students =2/10

Probability of not choosing students = 1-2/10

= 8/10

= 0.8

Therefore, the probability that Aretha will not be chosen is 0.8.

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Answer:

56.52 cm^2

Step-by-step explanation:

curved surface area = 2πrh

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

10 / 2 = 5

2 x 3.14 x5 x 18 = 56.52 cm^2

Answer:

-1.25

Step-by-step explanation:

y= -1.25x+6.5

Answer:

55

Step-by-step explanation:

Make a proportion.

11/20=x/100

20*5=100, 11*5=55

Answer:

4/5 is the answer

Step-by-step explanation:

2/5 equals 4/10 plus the other 4/10 equals 8/10 simplified 4/5

Answer:

96

Step-by-step explanation:

Because 72/9 = 8 so every hour she earns 8$

8*12=96

The amount of money in dollars earned by Nicole in 12 hours will be $96.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Nicole earned $72 in 9 hours. Then the amount of money in dollars earned by Nicole each hour is calculated as,

Rate = $72 / 9

Rate = $8 for each hour

At this rate, the amount of money in dollars earned by Nicole in 12 hours will be calculated as,

⇒ $8 x 12

⇒ $96

The cash in dollars acquired by Nicole in 12 hours will be $96.

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Answer: the third one

Step-by-step explanation:

Answer:

I think D

Step-by-step explanation:

It makes sense to me

Answer:

I think the answer is

[tex]x = \frac{9}{7} [/tex]

Step-by-step explanation:

Reason :

[tex]4x - 2 + 3x - 7 = 0 \\ collect \: like \: terms \\ 4x + 3x - 7 - 2 = 0 \\ 7x - 9 = 0 \\ 7x = 9 \\ x = \frac{9}{7} [/tex]

Therefore

[tex]x = \frac{9}{7} [/tex]

Answer:

77 customers

Step-by-step explanation:

Given data

Percentage of customers= 22%

Total customers= 350

Let us find 22% of 350

=22/100*350

=0.22*350

=77 customers

Answer:

17. w = 15   18. S = 115°

Step-by-step explanation:

17. 10 · 6 = 4w

combine like terms:

=> 60 = 4w

divided by 4 on both sides:

=> w = 15

18. 180° - S = 65°

subtract 180° on both sides:

=> -S = -115° => S = 115°

Answer:

Evaluate each expression for a = 4, b = 2, and c = 5.

c − a

Answer:

3 + 9 = 12 !

Step-by-step explanation:

The initial price of eggs is $0.89 which is then increased to $0.99, so the percentage increase in the price is 11.23%.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given data in the question,

The price of dozen eggs = $0.89

The price increase by June = $0.99

The percentage increase in the price,

% increase = (0.99 - 0.89)/0.89 × 100

% increase = 11.2%

Therefore, the increase is 11.2%.

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Answer:

1/3

Step-by-step explanation:

i used the points (0,-2) and (3,-1) to find the slope:

(-2--1) / (0-3) = -1/-3 or 1/3

Answer:

2, 0, -2, -4

Step-by-step explanation:

an = 4 − 2n

a1 = 4 - 2(1) = 2

a2 = 4 - 2(2) = 0

a3 = 4 - 2(3) = -2

a4 = 4 - 2(4) = -4

Answer:

(2, 0, -2, -4)

Step-by-step explanation:

a(1) = 4 - 2(1)

= 4 - 2

= 2

a(2) = 4 - 2(2)

= 4 - 4

= 0

a(3) = 4 - 2(3)

= 4 - 6

= -2

a(4) = 4 - 4(4)

= 4 - 8

= -4

Answer:

i would say it's probably c

Answer:

10x5

Step-by-step explanation:

                               5

10                                                               10

                                5

10x2=20

5x2=10

10+20=30

10x5=50

Answer:

B

Step-by-step explanation:

we are given a equation of a line

we want to figure out the equation of the perpendicular line passes through the (6,5) points

in order to do so

recall that,

[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{m} [/tex]

we got from our given equation that m=2

because equation of a line is y=mx+b

thus

[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{2} [/tex]

remember that, when we want to figure out perpendicular line or parallel line we should the formula given by

[tex] \displaystyle y - y_{1} = m(x - x_{1})[/tex]

since we got our perpendicular m is -½, [tex]x_1=6[/tex] and [tex]y_1=5[/tex], substitute

[tex] \displaystyle y - 5 = - \frac{1}{2} (x - 6)[/tex]

to get the perpendicular equation you should simplify the above equation to y=mx+b form

distribute -½:

[tex] \displaystyle y - 5 = - \frac{1}{2} x + 3[/tex]

add 5 to both sides:

[tex] \displaystyle y = - \frac{1}{2} x + 8[/tex]

hence,

our answer choice is B

The integers are 10, 13, 16 and 19 which add up to get a total of 23, 26, 29, 32 and 35

An equation is an expression that shows the relationship between two or more variables and numbers.

The integers are 10, 13, 16 and 19 because:

10 + 13 = 23; 10 + 16 = 26; 10 + 19 = 29

Also;

13 + 16 = 19; 13 + 19 = 32 and 19 + 16 = 35

The integers are 10, 13, 16 and 19 which add up to get a total of 23, 26, 29, 32 and 35

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Answer: 170 people paid GH¢20 and 180 people paid GH¢30

Step-by-step explanation:

Let the number of people that paid GH¢20 be represented by x.

Let the number of people that paid GH¢30 be represented by y.

Based on the above information given, we can form an equation which will be:

x + y = 350 ....... i

20x + 30y = 8800 ....... ii

Multiply equation i by 20

20x + 20y = 7000 ...... iii

20x + 30y = 8800 ...... iv

Subtract iii from iv

10y = 1800

y = 1800/10

y = 180

Since x + y = 350

x = 350 - y.

x = 350 - 180

x = 170

Therefore, 170 people paid GH¢20 and 180 people paid GH¢30