Answer:
36.8 or 37 yards of fabric
Step-by-step explanation:
23 yards of fabric = five dresses
23 divided by five equals four point six
four point six multiplied by eight dress equals 36.8
23 yds of fabric = 5 dresses
23÷5=4.6
If you need to know how many yards of fabric, then you'd do:
4.6×8
4.6 is the amount of each yards 5 dresses are in and so if you times that by how many dresses you need now, you'll get:
36.8 yards of fabric
To round, it'd be 37 yards of fabric
Answer:
-2
Step-by-step explanation:
You should use the formula Y2-Y1/X2-X1.
2-4/7-6
Answer:
2
Step-by-step explanation:
So I'm going to use vieta's formula.
Let u and v the zeros of the given quadratic in ax^2+bx+c form.
By vieta's formula:
1) u+v=-b/a
2) uv=c/a
We are also given not by the formula but by this problem:
3) u+v=uv
If we plug 1) and 2) into 3) we get:
-b/a=c/a
Multiply both sides by a:
-b=c
Here we have:
a=3
b=-(3k-2)
c=-(k-6)
So we are solving
-b=c for k:
3k-2=-(k-6)
Distribute:
3k-2=-k+6
Add k on both sides:
4k-2=6
Add 2 on both side:
4k=8
Divide both sides by 4:
k=2
Let's check:
:
I'm going to solve for x using the quadratic formula:
Let's see if uv=u+v holds.
Keep in mind you are multiplying conjugates:
Let's see what u+v is now:
We have confirmed uv=u+v for k=2.
Answer:
Step-by-step explanation:
We have:
And we want to find B’(6).
So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:
We can move the constant outside:
Now, we will utilize the product rule. The product rule is:
We will let:
Then:
(The derivative of u was determined using the chain rule.)
Then it follows that:
Therefore:
By simplification:
So, the slope of the tangent line to the point (6, B(6)) is -28.17.
PEMDAS order refers to parentheses, exponents, multiplication, division, addition, and subtraction. So, 2*5=10 and 34+10=44.