Answer:
= 52
Step-by-step explanation:
Using the equation;
a3+b3=(a+b)3−3ab(a+b)
The sum, a+b =4
The product, ab = 1
Therefore;
a3+b3=4³−3(1)(4)
= 64-12
<u> = 52 </u>
<h2>
Answer:</h2><h2>D. (-2,0) and (4,0)</h2>
<h2>
Step-by-step explanation:</h2><h2>x-intercepts: y=0</h2><h3>(x-4)(x+2)=0</h3>
<h2>x-4=0</h2><h2>x=4</h2><h3>(x=4 when y=0)</h3><h2>coordinate: </h2><h2>(4,0)</h2>
<h2>x+2=0</h2><h2>x= -2</h2><h3>(x= -2 when y=0)</h3><h2>coordinate:</h2><h2>(-2,0)</h2>
Answer:
x = 1
Step-by-step explanation:
When there is a "-" (minus) sign in front of parenthesis, we distribute the sign inside. Let's do this with "-(x+1)". So we will have:
Now, we follow rules of algebra. We take variables to one side and numbers to another side (remember to change signs with changing sides). Shown below:
Now, we add like terms in left side. Such as:
ax + bx = (a+b)x
Thus, we have:
Now, we add right side and divide and get a value for x:
The value of x is 1
Answer: y=4√3≈6.93
Step-by-step explanation:
We know that:
You know that the triangle is a right triangle and you also know the measure of the hypotenuse. Therefore, you must calculate the opposite side y as following:
sin(60°)=opposite/hypotenuse
Where:
opposite=y
hypotenuse=8
Now, when you substitute and solve for the opposite side, you obtain the following result:
y=8*sin(60°)
y=4√3≈6.93
The cook needs to add 21.3 ounces of water to obtain the concentration
The cook has 32 ounces of 5% apple cider vinegar.
The total apple cider vinegar the cook has is:
Let the quantity of water be x.
To dilute 3% apple cider vinegar, the cook would make use of the following equation
So, we have:
Substitute 1.6 for total
Divide both sides by 3%
Subtract 32 from both sides
Rewrite as:
Hence, the cook needs to add 21.3 ounces of water
Read more about concentration at:
brainly.com/question/25833493