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aleksandr82 [10.1K]
3 years ago
8

Solve the quadratic equation x2 – 14x + 40 = 0

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0
What 2 numbers multiply to get 40 and add to get -14
-10 and -4

(x-4)(x-10)=0
set to zero

x-4=0
x=4

x-10=0
x=10

x=4 and 10
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natulia [17]
What are you asking here exactly
7 0
3 years ago
For which rational expressions is –5 an excluded value? Check all that apply.
Anika [276]

Answer:

option C and F

Step-by-step explanation:

Given excluded value is x=-5

Excluded value are the values that makes the denominator 0

Now we check out each option and see , in which option the denominator becomes 0 when x=-5

When denominator has (x+5) then when we plug in x=-5

(x+5) becomes (-5+5) =0

So we look at the options that has factor (x+5) in the denominator

In option C  we have x^2 -25

When we plug in -5  for x  then it becomes (-5)^2 - 25 =0

So x=-5  makes the denominator 0

-5 is an excluded value for option C

Last option f has x+5 in the denominator

x=-5 make the denominator 0

so , -5 is an excluded value for option F


3 0
3 years ago
Which graph best represents the function f(x)=2x ?
yan [13]

Answer:

B

Step-by-step explanation:

The best - well, only way- is to check a few points.

Namely -1 (unless your eyesight is really poor!), 0, 1, 2, and 3.

f(x) = 2^x\\f(-1) = 2^-^1 = \frac12\\f(0) =2^0 =1\\f(1)= 2^1=2\\f(2)=2^2=4\\f(3)=2^3= 8

Now you can mark all these points in each graph (well, you could if they were on paper and not on a screen) and see which one of the lines passes through all of them. Spoiler alert, it's the B graph.

A represents 2(2^x) = 2^{x+1}, B is the one you want, C is \frac{2^x}2 = 2^{x-1} and D looks like 4^x = 2^2^x

3 0
2 years ago
PLEASE HELP ASAP!! WILL GIVE BRAINLIEST
Katyanochek1 [597]

Answer:

equilateral triangle

Step-by-step explanation:

EQUILATERAL ... all three sides are equal length

ISOSCELES ... two sides are equal length

SCALENE ... none of the three sides are equal length

RIGHT ... one of the angles measures 90 degrees

OBTUSE ... one of the angles measures greater than 90 degrees

ACUTE ... all three angles measure less than 90 degrees

4 0
2 years ago
The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?
grigory [225]

Answer:

\frac{4}{3} \pi r^3.

Step-by-step explanation:

Let's say that the radius is r. The base diameter is two times the radius, or 2r.

Since the height is two times the diameter, the height is 2 * 2r = 4r.

The volume of a cone is 1/3 * h * pi * r^2. So, the volume of the cone is 1/3 * 4r * pi * r^2 = 1/3 * pi * 4r^3 = 4/3 * pi * r^3.

So, the volume of the cone is \frac{4}{3} \pi r^3.

Hope this helps!

8 0
3 years ago
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