Answer:
south
Step-by-step explanation:
When she walks 10 feet ahead, she is still facing east.
Turning 45 degrees left means she is facing north-east.
Notice that walking does not affect her direction, so let's call left turn negative and right turn positive.
Then it will go like this: -45+25+110. This makes 90, so she turns 90 degrees right, or south.
<span>Solution can be gained by using "Product of means = Product of extremes" concept. So the information we have is 23 miles on 1 gal and 135 mile on 'x' gal.
23 : 1 :: 135 : x
As per Product of means = Product of extremes,
23 multiplied x = 135 multiplied by 1.
And x will be 135 divided by 23 which is 5.86 gal
Now, we have to convert gal to liters, 1 gal = 3.78 liters,
so 5.86 gal = 5.86 multiplied by 3.78, which is 22.15 liters.
Hence, 22.15 liters of gasoline are needed for a 135 mile trip</span>
Answer:
X intercepts are points where a function intersects or cuts through the x axis where y=0.
Step-by-step explanation:
In the function given which is f(x) =x^2 +4x + 3 we see that this is a parabola of which when the graph is drawn it has a U shape so when finding x intercepts of this function it is those points on the function where the graph cuts the x axis and at those two points f(x)= 0, so here Mathieu had made a mistake of factorizing and equating the x intercepts for this function.
For finding the X intercepts let f(x) = 0
therefore 0= x^2 + 4x + 3 now we solve for x
0= (x+1)(x+3)
(x+1)= 0 or (x+3)=0
therefore x=-1 or x=-3
now if you substitute these values onto the function they give f(x)= 0,
f(-1) = (-1)^2 + 4(-1) + 3 = 0
f(-3) = (-3)^2 + $(-3) + 3 =0
now let us look at Mathieus answer which is x+1 = x+3 yes these x values do give the same y value but they are not equal because if you can actually solve this further you would not get a defined answer. Both these are factors of the function but are not actually equal as the function would not be able to be drawn if this was the case.
The factored form of the expression is (x^2+2)(6x^2-5).
We have given the expression 6x^4 – 5x^2 + 12x^2 – 10
<h3>What is the factor of a polynomial?</h3>
A factor of polynomial P(x) is any polynomial that divides evenly into P(x)
Factoring by grouping
Given the expression 6x^4 – 5x^2 + 12x^2 – 10
Group the terms to have
(6x^4 – 5x^2) + (12x^2 – 10)
Factor out the common values
x^2(6x^2-5)+2(6x^2 - 5)
(x^2+2)(6x^2-5)
Therefore the factored form of the expression is
(x^2+2)(6x^2-5).
Learn more on factored form visit:
brainly.com/question/25948667
The domain is the possible values of x.
There are no real values for ln 0 or ln of a negative number so the value of (1 - x) must be > 0
1 - x > 0
-x > -1
x < 1
Domain is x < 1 or in interval notation it is ( -∞, 1)