All categories

2 years ago

The coordinates of the point where the lines y= 2x- 3 and y=5 intersect are?

Mathematics

1 answer:

zepelin [54]2 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

sixty more than nine times a number is the same as two less than ten times the number. what is the number

Leokris [45]

Answer:

130

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find all the zeros of the polynomial function p(x) = x3 – 5x2 + 33x – 29

hram777 [196]

Answer:

$\large \boxed{\sf \ \ x=1, \ \ x=2+5i, \ \ x=2-5i \ \ }$

Step-by-step explanation:

Hello,

I assume that we are working in $\mathbb{C}$ , otherwise there is only one zero which is 1. Please consider the following.

First of all, we can notice that 1 is a trivial solution as

$p(1) = 1^3-5\cdot 1^2 + 33\cdot 1-29=1-5+33-29=0$

It means that (x-1) is a factor of p(x) so we can find two real numbers, a and b, so that we can write the following.

$p(x)=(x-1)(x^2+ax+b)=x^3+ax^2+bx-x^2-ax-b=x^3+(a-1)x^2+(b-a)x-b$

Let's identify like terms as below.

a-1 = -5 <=> a = -5 + 1 = -4

b-a = 33

-b = -29 <=> b = 29

$\boxed{ \ p(x)=(x-1)(x^2-4x+29) \ }$

Now, we need to find the zeroes of the second factor, meaning finding x so that:

$x^2-4x+29=0 \ \text{ complete the square, 29 = 25 + 4} \\ \\ x^2-2\cdot 2 \cdot x+2^2+25=0 \\ \\ (x-2)^2=-25=(5i)^2 \ \text{ take the root } \\ \\x-2=\pm 5i \ \text{ add 2 } \\ \\ x = 2+5i \ \text{ or } \ x = 2-5i$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago

Barry’s bagel emporium sells a dozen bagels for $5.00. this price is no longer high enough to create a profit. the owner decides

Korvikt [17]

Barry’s bagel emporium sells a dozen bagels for $5.00. This price is no longer high enough to create a profit. The owner decides to raise the price. He does not want to alarm his customers with too large of an increase. He is considering four different plans.


Plan B: Raise the price by 10 percent each week until the price reaches $8.00. - I'd say this plan is the correct one

3 0

2 years ago

Read 2 more answers

If f(x) = 3x - 5 and g(x) = 7x + 2, what is (f * g)(x)? NEED HELP ASAP!!!!

QveST [7]

Answer:(f*g)(x)= 21x^2 -29x -10

Step-by-step explanation:

(3x-5)(7x+2)

21x^2-35x+6x-10

21x^2-29x-10

6 0

2 years ago

Graph the exponential model y=3(6)^x Which point lies on the graph? (-9 2) (-1, -18) (1, 18) (2, 9)

svetlana [45]

Answer:

(1,18)

Step-by-step explanation:

use a graphing calculator to graph the function

then, graph all the coordinates given and find on that's on the graph

7 0

2 years ago