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2 years ago

The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b

2 answers:

8 0

X^2 - x - 90 =0
This equation is in standard form ax^2+ bx + c
The sum of the solutions is -b/a (a and b are the coefficients from the equation above, not the solutions to the equation)
The answer is 1/1 = 1

REY [17]2 years ago

3 0

Answer:

Step-by-step explanation:

Alright, let get started.

The given equation is : $x^2-1x-90=0$

This is a quadratic equation.

The standard form of a quadratic equation is : $AX^2+BX+C=0$

Comparing the given equation with standard one, the values of A ,B and C are :

A is 1

B is -1

C is -90

Since a and b are the roots of the equation, so the formula for sum of roots a+b will be = $\frac{-B}{A}$

a+b= $-\frac{-1}{1} =1$

hence a+b will be 1 : Answer

Hope it will help :)

You might be interested in

A rectangular park had a perimeter of 18 miles. It is 7 miles wide. What is the area of the park?

4vir4ik [10]

Perimeter = 18 miles
Perimeter = 2a + 2b
2a + 2b = 18

a = ?
b = 7

18 = 2a + 2*7
18 = 2a + 14
2a = 18 - 14
2a = 4
a = 2

Area = a * b
Area = 2 * 7 = 14 miles2

7 0

2 years ago

Original price of a suit: $250.00<br>Discount: 25%<br>Tax: 8%<br>How much will you pay?

ozzi

Answer:

207,50

Step-by-step explanation:

1% = 2,5

2,5x25 = 62,5 250 - 62,5 = 187,5

2,5x8 = 20

187,5+20= 207,50

8 0

2 years ago

Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p

kap26 [50]

Answer:

$4800+183x\geq 8000$

She must sell at least 18 policies to make an annual income of at least $8,000

Step-by-step explanation:

Let $x$ be the number of policies Mrs. Robinson must sell

We know that Mrs. Robins makes 3% on commission for each policy sold. We also know that the average price of a policy is $6,100, so she makes 3% of $6,100 per policy sold. To find the 3% of $6,100 we just need to multiply 3% and $6,100; then dive the result by 100%:

$\frac{3*6,100}{100} =183$

Now we know that she makes $183 per policy sold. Since $x$ is the number of policies sold, $183x$ is her total commission for selling $x$ policies.

We also know that She makes $4,800 per year, so her total annual income is her salary plus her commissions, in other words:

$4800+183x$

Finally, we know that she wants to make at least $8,000, so her salary plus her commissions must be greater or equal than $8,000:

$4800+183x\geq 8000$

Let's solve the inequality:

1. Subtract 4800 from both sides

$4800-4800+183x\geq 8000-4800$

$183x\geq 3200$

2. Divide both sides by 183

$\frac{183x}{183} \geq \frac{3200}{183}$

$x\geq 17.48$

Since she can't sell a fraction of a policy, we must round the result to the next integer:

$x\geq 18$

We can conclude that she must sell 18 policies to make an annual income of at least $8,000.

7 0

3 years ago

Four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and tre

alexdok [17]

Answer:

So, exists 5527200 different leadership structures.

Step-by-step explanation:

We know that four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and treasurer. The first perosn to be selected is the chairperson, the second to be selected as vice chairperson, the third is secretary, and the fourth is treasurer.

Since the order of the people is important to us, we have the following:

50·49·48·47=5527200

So, exists 5527200 different leadership structures.

3 0

3 years ago

A triangle has an area of 35 square inches. the length of one of the sides it 10 inches. what is the length of the perimeter? in

Serggg [28]

The perimeter would be about 34.4 because if you choose the bottom side to be ten, by multiplying 35 by 2 to get 70 you can divide by 10 to get 7. Since you know the height and width, you can use pythagorean theorem, a^2 + b^2 = c^2. Plug in the numbers you have 10^2+7^2=c^2. c^2=149, so if you square root 149 you will get a irrational number but when rounded you get 12.2- so that is one side multiply by 2 and get 24.4- and add 10 to get 34.4

7 0

2 years ago