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3 years ago

Write the equation of the line fully simplified slope-intercept form.

Mathematics

1 answer:

irinina [24]3 years ago

8 0

y=-5/4x +3

The slope(-5/4) is rise over run and negative because the line is sloping down. The y intercept (3) is the point where the line crosses the y axis.

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A grandfather is six times as old as his grandson. If the grandfather was 45 when his grandson was born, how old is the grandson

Semenov [28]

The grandson is 9 years old.

This would mean that the grandpa is 54.

9x6=54
54/6=9

5 0

3 years ago

Which polynomial can be simplified to a difference of squares

Mrrafil [7]

<h2>Hello!</h2>

The answer is:

The polynomial that can be simplified to a difference of squares is the second polynomial:

$16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}=(4-1)(4+1)$

To solve this problem, we need to look for which of the given quadratic terms given for the different polynomials can be a result of squaring (elevating by two).

So,

Discarding, we have:

The quadratic terms of the given polynomials are:

$First=10a^{2}$

$Second=16a^{2}$

$Third=25a^{2}$

$Fourth=24a^{2}$

We have that the coefficients of the quadratic terms that can be obtained by squaring are:

$16a^{2} =(4a)^{2} \\\\25a^{2} =(5a)^{2}$

The other two coefficients are not perfect squares since they can not be obtained by square rooting whole numbers.

So, the first and the fourth polynomial are discarded and cannot be simplified to a difference of squares at least using whole numbers.

Therefore, we need to work with the second and the third polynomial.

For the second polynomial, we have:

$16a^{2} -4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2} =(4-1)(4+1)$

So, the second polynomial can be simplified to a difference of squares.

For the third polynomial, we have:

$25a^{2} +6a-6a+36=16a^{2}+36=(5a)^{2}+(6)^{2}$

So, the third polynomial cannot be simplified to a difference of squares since it's a sum of squares.

Hence, the polynomial that can be simplified to a difference of squares is the second polynomial:

$16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}$

7 0

3 years ago

Read 2 more answers

I will make you Brainliest

stepladder [879]

Answer and Step-by-step explanation:

$Greetings!$

$I'm~Isabelle~Williams~and~will~be~answering~your~question!$

$For~the~first~question~the~answer~is~option~number~``4"$

$x\geq -1$

$For~the~second~question~the~answer~is~option~number~``4"~as~well.$

$x$ < $2$

$Hope~this~helps!~Have~an~amazing~day~ahead!$

$-Isabelle~Williams$

6 0

4 years ago

if Sandy can afford car payments of $140/month for 4 years what is the price of a car that she can afford now?

Galina-37 [17]

6720 would be the correct answer

5 0

3 years ago

Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship be

o-na [289]

Answer: Answer with Step-by-step explanation:

Since we have given that

Cost of party per person = $20.

Let the number of friends be 'f'.

Let the cost of party be 'p'.

According to question, our equation becomes

p= 2f

So, if p = 100, then f = p/2 = 100/2 = 50 if f = 10, then, p = 2f = 2 • 10 = 20 If p = 300 then, f = 300/2 = 150, If f = 20, then, p = 2f = 2 • 20 = 40 So, Table as follows:

Number of friends cost of party

50 100

10 20

150 300

20 40

3 0

3 years ago