Answer:
-26
Step-by-step explanation:
5p + (-6)
Let p=-4
5(-4) + (-6)
Multiply
-20 +-6
Add
-26
Answer:
Exact Form:
√
61 (square root )
Decimal Form:
7.81024967
…
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
Answer:
x - 3 > = 5
x > = 5 + 3
x > = 8
closed circle on 8...because of the equal sign.....shaded to the right...because of the > sign.
Step-by-step explanation:
The given function presents a local minimum in the coordinates (0,-1).
<h3>Factoring</h3>
In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.
For solving this question, the given equation should be rewritten from the factoring.
. Then, you have 3 equations.
From the Zero Factor Principle, you can write
Equation 1
(x+1)²=0
x+1=0
x= -1
Equation 2
x-1=0
x=1
Equation 3
x²-x+1=0
![x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\ \\ x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{3}i}{2\cdot \:1}](https://tex.z-dn.net/?f=x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-%5Cleft%28-1%5Cright%29%5Cpm%20%5Csqrt%7B%5Cleft%28-1%5Cright%29%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5C%3A1%7D%7D%7B2%5Ccdot%20%5C%3A1%7D%5C%5C%20%5C%5C%20x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-%5Cleft%28-1%5Cright%29%5Cpm%20%5Csqrt%7B3%7Di%7D%7B2%5Ccdot%20%5C%3A1%7D)
From these points it is possible to plot a graph and you can see that the local minimum presents the coordinates (0,-1).
Read more about the factoring here:
brainly.com/question/11579257
#SPJ1
Answer:
<h2>D</h2>
Step-by-step explanation:
The dimensions of the portrait are attached.
The total area of the portrait is represented by its width 5+x and its length x+1.
We know by definition that the area of a rectangle is
![A= w \times l](https://tex.z-dn.net/?f=A%3D%20w%20%5Ctimes%20l)
Where
is the width and
is the length.
Using the given expressiones, we have
![A=(5+x)(x+1)=5x+5+x^{2} +x=x^{2} +6x+5](https://tex.z-dn.net/?f=A%3D%285%2Bx%29%28x%2B1%29%3D5x%2B5%2Bx%5E%7B2%7D%20%2Bx%3Dx%5E%7B2%7D%20%2B6x%2B5)
Therefore, the right answer is D.