I will give a thanks

In the following equation, a and b are both integers. a(3x-8)=b -18x

zaharov [31]

The value of a is -6
The value of b is 48

8 0

3 years ago

A phone sells for $137.99. It is now on sale for 1/10 off the original price. Tom has a coupon for an extra 5% off the sale pric

vlabodo [156]

Answer: Tom will pay $20.01 lesser than the original price.

Step-by-step explanation:

The original price of the phone is $137.99. It is now on sale for 1/10 off the original price. This means that the discount on the original price is 1/10 × 137.99 = 13.799. The new price will be the original price - the discount.

The new price is 137.99 - 13.799 = $124.191

Tom has a coupon for an extra 5% off the sale price. It means that Tom would pay 5% off $124.191. The amount that Tom would pay will be

124.191 - (5/100 × 124.191) = 124.191 - 6.20955 = $117.98

The difference between the original price and the price that Tom will pay is

137.99 - 117.98 = $20.01

7 0

2 years ago

What does the fundamental theorem of algebra illustrate?

UNO [17]

Answer:

The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.

Step-by-step explanation:

The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.

We have to find the roots of this given equation.

If a quadratic equation is of the form $ax^{2}+bx +c=0$

Its roots are $\frac{-b+\sqrt{b^{2}-4ac } }{2a}$ and $\frac{-b-\sqrt{b^{2}-4ac } }{2a}$

Here the given equation is $2x^{2}-4x-1$ = 0

a = 2

b = -4

c = -1

If the roots are $x_{1} and x_{2}$ , then

$x_{1}$ = $\frac{-2+\sqrt{(-4)^{2}-4\times 2\times (-1)}}{2\times 2}$

= $\frac{4 +\sqrt{24}}{4}$

= $\frac{2+\sqrt{6} }{2}$

$x_{2}$ = $\frac{-2-\sqrt{(-4)^{2}-4\times 2\times (-1)}}{2\times 2}$

= $\frac{4 +\sqrt{8}}{4}$

= $\frac{2-\sqrt{6} }{2}$

These are the two roots of the equation.

6 0

2 years ago

A card is drawn from a standard deck of 5252 playing cards. What is the probability that the card will be a heart or a face card

mr_godi [17]

Answer:

The probability that the card will be a heart or a face card is P=0.4231.

Step-by-step explanation:

We have a standard deck of 52 cards.

In this deck, we have 13 cards that are a heart.

We also have a total of 12 face cards (4 per each suit). So there are 3 face cards that are also a heart.

To calculate the probability that a card be a heart or a face card, we sum the probability of a card being a heart and the probability of it being a face card, and substract the probability of being a heart AND a face card.

We can express that as:

$P(H\,or\,F)=P(H)+P(F)-P(H\&F)\\\\P(H\,or\,F)=13/52+12/52-3/52=22/52=0.4231$

4 0

3 years ago

Does the system of equations have no solution, one solution, or an infinite number of solutions? −5x+y=−1−5x+y=10

kherson [118]

Answer:

5x-y=9, y=5x+19 write both equations in same formy=5x-9 for the first and havey=5x+19 for the second. These are two parallel lines with different intercepts. They do not intersect or coincide. No solutions

and y=6x+14, 12x-2y=-28 write both equations in same formy=6x+142y=12x+28 or y=6x+14. They are the same line. The solution is all of the points on the line.

Step-by-step explanation:

I hope it will help you have a great day bye and Mark brainlist if the answer is correct I am sorry if the answer is worng 

 $kai6417$ 

#carry on learning

5 0

2 years ago

Read 2 more answers