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fomenos
3 years ago
10

Question 1 of 25

Mathematics
1 answer:
Murrr4er [49]3 years ago
7 0
The company should expect 235 in sales


plug in 50 for x, 2.1 times 50 is 105, 105 + 130 is 235, y = 35.
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Use distributive property to factor method 1. Use distributive property to expand method 2.
sasho [114]

Step-by-step explanation:

I guess method 1 means to deal with whole factors.

x + 5 = (x - 2)(x + 5)

for (x + 5) <> 0 we can divide both sides by this factor :

1 = x - 2

x = 3

for the second solution we deal with

x + 5 = 0

x = -5

so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.

method 2 : we multiply the expression out and solve it then

x + 5 = (x - 2)(x + 5)

x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10

0 = x² + 2x - 15

the general solution to such a square equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -15

x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =

= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =

= -1 ± 4

x1 = -1 + 4 = 3

x2 = -1 - 4 = -5

and you get the 2 solutions again. as expected, they are the same as with method 1, of course.

4 0
2 years ago
PLS HELP ME ASAP (SHOW WORK PLS) + LOTS OF POINTS (give thanks if correct)
Andreas93 [3]
It's  C because you change 2/5 into 4/10 then you add 4/10+4/10 which equals 8/10 and is 1 mph. So you add another 2/10 which is an half of a half which equals 1/4. So C
4 0
4 years ago
Read 2 more answers
Find the numbers a, b and c if the polynomial x3−18x2+24xb−c is the cube of the binomial x+2a.
mojhsa [17]

Answer:

a=-3\\ \\b=\dfrac{9}{2}\\ \\c=216

Step-by-step explanation:

Use formula

(u+v)^3=u^3+3u^2v+3uv^2+v^3.

Hence,

(x+2a)^3=x^3+3x^2\cdot 2a+3x\cdot (2a)^2+(2a)^3=x^3+6ax^2+12a^2x+8a^3.

This expression is equal to

x^3-18x^2+24bx-c,

so we can equate the coefficients at powers of x:

x^3:\ 1=1\\ \\x^2:\ 6a=-18\Rightarrow a=-3\\ \\x:\ 12a^2=24b\Rightarrow b=\dfrac{9}{2}\\ \\1=x^0:\ 8a^3=-c\Rightarrow c=-8\cdot (-3)^3=216.

6 0
4 years ago
Tell whether the following set is an empty set or not? A = { A quadrilateral having 3 obtuse angles}
Dovator [93]

Answer:

No.

Step-by-step explanation:

A quadrilateral with 3 obtuse angles is possible. You could have 100°+100°+100°+60° quadrilateral or whatever. As long as it's inner angles add up to 360°, it is possible.

7 0
3 years ago
Read 2 more answers
How can you prove a triangle is a right triangle?
nydimaria [60]
Look at the angles to deturman if it is a right triangle
6 0
3 years ago
Read 2 more answers
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