The complete question is :
Question: What is the coefficient in the expression 10x²-7?
The coefficient in the expression
is 10
<h3>What is Coefficient?</h3>
A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
According to the question,
The expression given is 
The variable given is x
We need to find the coefficient in the expression.
In the given expression x is the variable and the number before the x is coefficient which is 10 .
Hence the coefficient in the expression is 10.
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6.4 kilometers an hour<span />
(see attached graphic)
1.2 miles = 6,336 feet
IF the length is measured along the ground then:
tan (angle) = opp / adjacent
tan (angle) = 3,200 / 6,336
<span>tan (angle) = 0.505050505</span>
angle = 26.796 Degrees
IF the length is measured from the ground to the top then:
sin (angle) = opp / hypotenuse
<span>sin (angle) = 0.505050505</span>
angle = 30.335 Degrees
Let
x ----------> the height of the whole poster
<span>y ----------> the </span>width<span> of the whole poster
</span>
We need
to minimize the area A=x*y
we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2
so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4
find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]
for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in
(y)=[722/(x-4)]+2
y=[2x+714]/[x-4]-----> y=[2*13.87+714]/[13.87-4]-----> y=75.15 in
the answer is
<span>the dimensions of the poster will be
</span>the height of the whole poster is 13.87 in
the width of the whole poster is 75.15 in
Answer:
(4x + 1)(x² - 2)
Step-by-step explanation:
Given
4x³ + x² - 8x - 2 ( factor the first/second and third/fourth terms )
= x²(4x + 1) - 2(4x + 1) ← factor out (4x + 1) from each term
= (4x + 1)(x² - 2)