The answer is B x = -4. x= 3
You must factor the equation by find what 2 numbers can multiply to equal -12 and add to equal 1.
-3 and 4 are the two numbers. Now to put it in factor form would be:
(x - 3)(x + 4) = 0
They y also must equal zero.
Since its equals to 0, we must solve for x for the binomial.
x - 3 = 0 ; x = 3
x + 4 = 0 ; x = -4
The answer you get from solving x, is that answer
<h2>
Step-by-step explanation:</h2><h3>We firstly find the surface area of only one face of the cube:</h3><h3>Sa=a²</h3><h3>Sa=1.2²cm</h3><h3>Sa=1.44cm²</h3>
<h2>
Since the cube has 6 faces we multiply the surface area of one face(144cm²) with 6</h2>
Area(cube)=1.44cm²*6
=8.64cm²
<h2>
Same thing with the prism but we have to find the area of one of his triangle face and rectangle face</h2>
S(triangle)=5mm*4mm*1/2
=10mm²
S(rectangle)=7mm*5mm=35mm²
<h2>
The prism has 2 triangle faces and three rectangle faces so we multiply the area by those numbers and then we add those together to get the final area</h2>
S=10mm²*2+35mm²*3
S=20+105
S=125mm²
<h3><em>
Hope this helped..</em></h3><h3 /><h3><em>Hope this helped..
Brainliest pls..</em></h3>
1) Since this is a Continuously Compounded operation in a 10 yrs period, then we can write out the following equation:
2) Plugging into the equation the given data and since Otto is 20 yrs old and he plans to get $4,000 in ten years, we can write out:
3) Thus the rate Otto needs is
Note that since the 0.1386 the six here is greater than 5 then we can round up to the next thousandth, in this case: 0.139. For the 0.1386 is closer to 0.139 (0.004) than to 0.138 (0.006).
Or 13.9%
Answer:
The equation does not have a real root in the interval ![\rm [0,1]](https://tex.z-dn.net/?f=%5Crm%20%5B0%2C1%5D)
Step-by-step explanation:
We can make use of the intermediate value theorem.
The theorem states that if 
is a continuous function whose domain is the interval [a, b], then it takes on any value between f(a) and f(b) at some point within the interval. There are two corollaries:
- If a continuous function has values of opposite sign inside an interval, then it has a root in that interval. This is also known as Bolzano's theorem.
- The image of a continuous function over an interval is itself an interval.
Of course, in our case, we will make use of the first one.
First, we need to proof that our function is continues in , which it is since every polynomial is a continuous function on the entire line of real numbers. Then, we can apply the first corollary to the interval , which means to evaluate the equation in 0 and 1:
Since both values have the same sign, positive in this case, we can say that by virtue of the first corollary of the intermediate value theorem the equation does not have a real root in the interval . I attached a plot of the equation in the interval ![\rm [-2,2]](https://tex.z-dn.net/?f=%5Crm%20%5B-2%2C2%5D)
where you can clearly observe how the graph does not cross the x-axis in the interval.
Answer:
the answer you are looking for is -5<n<4
