Answer:
0.1 yards of fabric
Step-by-step explanation:
Data provided in the question:
Number of outfits made for the doll = 14
Fabric used in each outfit =
yards of fabric
Starting fabric available = 10 ×
or
yards
Now,
The total fabric used in making the outfits of 14 dolls
= 14 ×
yards of fabric
=
yards of fabric
Therefore,
The fabric left after making the outfits
= Fabric available in the start - Fabric used in making the outfits
=
yards -
yards
=
yards
=
yards
=
yards
= 0.1 yards of fabric
Answer:
See explanation

Step-by-step explanation:
The two triangles are similar if the ratio of the corresponding sides are proportional.
The ratio of the corresponding sides are:



The set of ratios which could be used to determine if one triangle is a dilation of the other is

If there are multiple correct options then check this one too.

Answeer that to hard for me to answer
Step-by-step explanation: sorry wish i could help
<span>a) Intervals of increase is where the derivative is positive
b) </span> <span>Intervals of decrease is where the derivative is negative. </span>
c) <span>Inflection points of the function are where the graph changes concavity that is the point where the second derivative is zero </span>
<span>d)
Concave up- Second derivative positive </span>
<span>Concave down- second derivative negative </span>
f(x) = 4x^4 − 32x^3 + 89x^2 − 95x + 31
<span>f '(x) = 16x^3 - 96x^2 + 178x - 95 </span>
<span>f "(x) = 48x^2 - 192x + 178 </span>
<span>By rational root theorem the f '(x) has one rational root and factors to: </span>
<span>f '(x) = (2x - 5)*(8x^2 - 28x + 19) </span>
<span>Using the quadratic formula to find it's two irrational real roots. </span>
<span>The f "(x) = 48x^2 - 192x + 178 only has irrational real roots, use quadratic formula which will be the inflection points as well.</span>
Answer:
<h3>NO SOLUTIONS</h3>
Step-by-step explanation:
To solve this problem, first, you have to isolate x on one side of the equation.
3x/2-2>7
3x/2-2-7>7-7 (First, subtract 7 from both sides.)
7-7 (Solve.)
7-7=0
3x/2-2-7>0
3x/2-2*0-7*0>0*0 (Then, multiply 0 from both sides.)
0*0 (Solve & simplify.)
0*0=0 (undefined & no solutions)
In conclusion, there are no solutions.