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Rudik [331]
3 years ago
8

How many zeros are in -5x(x-3)(x^2-16)

Mathematics
2 answers:
il63 [147K]3 years ago
7 0
This is a fourth degree polynomial, so by the fundamental theorem of algebra, there are four zeroes, whether they are complex or real.

The expression can be rational factorized into
-5x(x-3)(x+4)(x-4), so all four factors (hence zeroes) are real.

Answer: There are four real zeroes in <span>-5x(x-3)(x^2-16)</span>
soldier1979 [14.2K]3 years ago
3 0
Count the number of times x is used as a factor of this polynomial.  I count 4.  Thus, this expression will have 4 zeros.
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I need this please help me
kaheart [24]

Answer:

C. Reflection over x- axis, down 6 right 3

Step-by-step explanation:

6 0
3 years ago
Write an expression please help me
qwelly [4]

I'm pretty sure it's

(24/3) + x.

Simplify it: 8 + x

4 0
4 years ago
uppose a new production method will be implemented if a hypothesis test supports the conclusion that the new method reduces the
True [87]

Tn the given situation, the appro[riate null hypotheses and alternative hypotheses are: H₀: μ₁ ≥ μ₂a and H₁: μ₁ < μ₂

<h3>What are alternative hypotheses?</h3>

An assertion used in statistical inference experiments is known as the alternative hypothesis.

It is indicated by Ha or H1 and runs counter to the null hypothesis.

Another way to put it is that it is only a different option from the null.

An alternative theory in hypothesis testing is a claim that the researcher is testing.

The initial assertion that forms the null hypothesis frequently rests on research from the past or expert knowledge.

According to the alternative hypothesis, a population parameter is either less, larger, or different from the value predicted by the null hypothesis.

So, the new production method supposedly lowers the mean operating cost per hour.

The following are the hypothesis when comparing the average production costs of the new production method (μ₁) with the old production method (μ₂):

H₀: μ₁ ≥ μ₂

H₁: μ₁ < μ₂

Therefore, in the given situation, the appro[riate null hypotheses and alternative hypotheses are: H₀: μ₁ ≥ μ₂a and H₁: μ₁ < μ₂

Know more about alternative hypotheses here:

brainly.com/question/13045159

#SPJ4

7 0
2 years ago
What is the surface area of a triangular pyramid if each face has an area of 30 mm2?
coldgirl [10]
The answer must be 120\quad m{ m }^{ 2 } since the triangular pyramid has 4 faces and each has an area of 30 m{ m }^{ 2 } we should multiply that by 4 , so :

4\cdot 30\quad m{ m }^{ 2 }=\quad 120\quad m{ m }^{ 2 }
7 0
3 years ago
Read 2 more answers
Х- а<br>x-b<br>If f(x) = b.x-a÷b-a + a.x-b÷a - b<br>Prove that: f (a) + f(b) = f (a + b)​
GenaCL600 [577]

Given:

Consider the given function:

f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}

To prove:

f(a)+f(b)=f(a+b)

Solution:

We have,

f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}

Substituting x=a, we get

f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}

f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}

f(a)=0+a

f(a)=a

Substituting x=b, we get

f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}

f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}

f(b)=b+0

f(b)=b

Substituting x=a+b, we get

f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}

f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}

f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}

f(a+b)=\dfrac{b^2-a^2}{b-a}

Using the algebraic formula, we get

f(a+b)=\dfrac{(b-a)(b+a)}{b-a}          [\because b^2-a^2=(b-a)(b+a)]

f(a+b)=b+a

f(a+b)=a+b               [Commutative property of addition]

Now,

LHS=f(a)+f(b)

LHS=a+b

LHS=f(a+b)

LHS=RHS

Hence proved.

5 0
3 years ago
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