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3 years ago

Which two equations would be most appropriately solved by using the zero product property?

Mathematics

2 answers:

anzhelika [568]3 years ago

6 0

For the zero product property questions it's choices 2 and 3 since they're quadratics factored and set equal to zero.

for the quadratic formula questions it would be answer choices 2 and 3 also because they're unfactored trinomial quadratic expressions

horsena [70]3 years ago

5 0

Answer:

1 - B and C

2 - B and C

Step-by-step explanation:

Ques 1: We know that,

<em>Zero Product Property</em><em> states that 'If ab=0, then either a=0 or b=0 or both are zero'.</em>

So, from the options, we see that,

The equation $(x-3)(x+4)=0$ can be solved using this property.

Also, the equation $2x^2+6x=0$ can be simplified to $2x(x+3)=0$ .

So, this $2x(x+3)=0$ can also be solved by the given property.

Since, the other options cannot be factorized.

<h3>Hence, the correct options are B and C.</h3>

Ques 2: We know that,

<em>The quadratic formula</em><em> is used to solve find the solution of the quadratic equation of the form $ax^2+bx+c=0$ .</em>

So, from the options, we see that,

The equations $(x-3)^2=36$ and $(x+8)(x+9)=0$ can be solved directly by using the 'Zero Product Property'.

The other equations cannot be solved directly and would be solved using the quadratic formula.

<h3>Hence, the correct options are B and C.</h3>

You might be interested in

A. Evaluate the polynomial

sdas [7]

Answer:

a) y = x³− 5x² + 6x + 0.55 at x = 1.37.

Use 3-digit arithmetic with chopping. Evaluate the percent relative round-off error.

-1.183%

b. Express y as y = ((x − 5)x + 6)x + 0.55 (this is the same equation). Use again 3-digit arithmetic with chopping. Evaluate the percent relative round-off error and compare with part (a). Make the conclusion about which form of the polynomial is superior.

-0.161%

Comparing part a and b together, part b is more superior because the percent(%) error is smaller when compared to part a

Step-by-step explanation:

a) y = x³− 5x² + 6x + 0.55 at x = 1.37.

Use 3-digit arithmetic with chopping. Evaluate the percent relative round-off error.

Let's evaluate before applying the 3 digit arithmetic chopping rule

y = 1.37³ - 5 × 1.37² + 6 × 1.37 + 0.55

y = 1.956853

Let evaluate each components of the polynomial one by one

Note that: 3-digit arithmetic chopping means to approximate chop off or remove number after the 3 significant figures.

y = x³− 5x² + 6x + 0.55 at x = 1.37.

x³ = 1.37³ = 2.571353

≈ 2.57

x² = 1.37² = 1.8769

≈ 1.88

5x² = 1.87 × 5

= 9.35

x = 1.37

6x = 1.37 × 6

6x = 8.22

Evaluating the polynomial

y = 2.57 - 9.38 + 8.22 + 0.55

y = 1.98

The percent relative round-off error =

1.956853 - 1.98/1.956853 × 100

= -1.183%

y = ((x − 5)x + 6)x + 0.55

Evaluating with the 3 digit chop off rule is applied

= ((1.37 - 5)1.37 + 6)1.37 + 0.55

=( 1.8769 - 6.85) + 6) 1.37 + 0.55

= (- 4.9731 + 6 )1.37 + 0.55

= 1.0269 × 1.37 + 0.55

= 1.406853

= 1.956853.

≈ 1.96

Note in: evaluating before applying the 3 digit arithmetic chopping rule

y = 1.37³ - 5 × 1.37² + 6 × 1.37 + 0.55

y = 1.956853

The percent relative round-off error

1.956853 - 1.96/1.956853 × 100

= -0.161%

Comparing part a and b together, part b is more superior because the percent(%) error is smaller when compared to part a

3 0

4 years ago

Solve for y<br> 6 = 4x + 9y

crimeas [40]

Answer:

y=.44-.66

Step-by-step explanation:

hope this helps not 100 percent sure let me know in the comments.

8 0

3 years ago

Read 2 more answers

louis makes a$15 [er hour working at the mall. which equation represents the total amout of money, d, louis makes in h hours?

emmainna [20.7K]

Answer:

15H = D

Step-by-step explanation:

Given that Louis makes $ 15 per hour working at the mall, to determine which equation represents the total amout of money, D, Louis makes in H hours, the following calculation must be performed:

15H = D

So, for example, if Louis worked 10 hours, the equation would operate as follows:

15 x 10 = D

150 = D

3 0

3 years ago

When you flip 1/6 it is?

prohojiy [21]

Reciprocal
1/6 turns into 6/1 which is 6

5 0

3 years ago

Read 2 more answers

Identify the function as exponential growth or decay. y = a * (8/5) ^ 0

sukhopar [10]

Answer:

We conclude that the function represents exponential growth.

Step-by-step explanation:

Given the function

$y=a\left(\frac{8}{5}\right)^t$

As the function is of the form

y=abˣ

and base 'b' > 1

We know that when the base 'b' of the exponential function > 1, meaning those numbers will get bigger, we call it exponential growth.

As b=8/5 is bigger than 1.

i.e. 8/5 > 1

Thus, we conclude that the function represents exponential growth.

4 0

3 years ago