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photoshop1234 [79]
3 years ago
6

Fill in the blanks so that the resulting statement is true. If f is a polynomial function and​ f(a) and​ f(b) have opposite​ sig

ns, then there must be at least one value of c between a and b for which ​f(c)equals​_______ This result is called the ​_______ Theorem.
Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:

f(c) equals zero

Intermediate Value Theorem

Step-by-step explanation:

Intermediate value theorem is one which states that f is a continuous function whose domain contains intervals which are a and b. It takes on any value between f(a) and f(b) at some point within interval. If we know the two values, we can pick any number between those two values and determine its function.

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Study the expression<br> x-y+ z(x + y)<br> Evaluate the expression if x = 10, y = -1, and z=0
vovangra [49]

Answer:

<em>The value of the expression is 11</em>

Step-by-step explanation:

<u>Evaluate Expressions</u>

An algebraic expression consists of a set of variables and constants related by algebraic operations like addition, subtraction, multiplication, etc.

To evaluate an algebraic expression, we replace the variables for the constant value they are assigned.

Let's consider the expression:

x-y+ z(x + y)

for x=10, y=-1, z=0

Substituting the variables for their values:

10-(-1)+ (0)(10 -1)

=10+1+ (0)(9)

=11+0=11

The value of the expression is 11

4 0
3 years ago
How do you write 6n + 8n + 4as a product of 2 factors?
Alla [95]
14n+ 4 = 2( 7n + 2 ) ; the factors are 2 and ( 7n + 2 ) ;
8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7Ba%20%7D%5E%7B2%7D%20%20%2B%208a%20%2B%2015%20%3D%200" id="TexFormula1" title=" {a }^{2}
NISA [10]

Answer:

a = - 5, a = - 3

Step-by-step explanation:

Given

a² + 8a + 15 = 0 ← in standard form

(a + 3)(a + 5) = 0 ← in factored form

Equate each factor to zero and solve for a

a + 3 = 0 ⇒ a = - 3

a + 5 = 0 ⇒ a = - 5

8 0
3 years ago
The table below shows the fifth powers of different numbers:
Lera25 [3.4K]
Part A. Yes, because y=f(x)=x⁵.
Part B. f(4)=2(4)+12=8+12=20.
5 0
3 years ago
John is digging a hole for a swimming pool,the hole will be 28 feet long, 5 feet wide, 34 feet wide. How much cubic feet of dirt
ivann1987 [24]

Answer:

John need to remove <u>4760 cubic feet</u> of dirt.

Step-by-step explanation:

Given:

John is digging a hole for a swimming pool,the hole will be 28 feet long, 5 feet wide, 34 feet wide.

Now, to find the cubic feet of dirt John need to remove.

Length = 28 feet.

Width = 5 feet.

Height = 34 feet.

<u><em>As the swimming pool is in the shape of a rectangular prism.</em></u>

So, we put formula of volume to get the cubic feet of dirt need to remove:

Volume = length\times width\times height

Volume=28\times 5\times 34

Volume=4760\ cubic\ feet.

Therefore, John need to remove 4760 cubic feet of dirt.

6 0
3 years ago
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