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2 years ago

Is -(3x + 5)^2 a perfect trinomial? Why or why not?

1 answer:

8 0

The given equation-(3x + 5)^2 is not a perfect trinomial because it is not obtained through the multiplication of a binomial.

<h3>What is a perfect trinomial?</h3>

A perfect square trinomial is takes the algebraic expression form ax^2 +bx + c, where the square root of the first term and the third term is the equation to the second term.

Given that:

-(3x + 5)^2

Open brackets

= - (9x +30x + 55)

Multiply through by (-)

= -9x^2 - 30x - 55

Therefore, we can conclude that the given equation-(3x + 5)^2 is not a perfect trinomial because it is not obtained through the multiplication of a binomial. i.e. the multiplication of the square root of the first and the third term did not result in the 2nd term.

Learn more about perfect square trinomials here:

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My brain small so could you plz anwser his 6/11+ 2/ 3

Lena [83]

Answer:

1 7/33

Step-by-step explanation:

6/11 + 2/3 --> We need a common denominator

--> 11 x 3 = 33

33 is our common denominator

6 x 3 = 18

2 x 11 = 22

18/33 + 22/33 = 40/33

Convert to a mixed number

=> 1 7/33

Thus, we have our answer.

4 0

4 years ago

PLEASE HELP IM SO STUCK

mihalych1998 [28]

Answer:

Slope = 7/4

Step-by-step explanation:

You are given coordinate values and a formula that tells you what to do with them. All you need to do is put the values in the formula and do the arithmetic.

<h3>Points</h3>

You are given points (2, -3) and (6, 4). The slope formula refers to the two points as (x1, y1) and (x2, y2). It does not matter which is which.

If we use the points in the same order they are given, then we can see that ...

x1 = 2
y1 = -3
x2 = 6
y2 = 4

<h3>Formula</h3>

Using these values in the given formula, we find the slope to be ...

$m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-(-3)}{6-2}=\dfrac{7}{4}$

The slope of the line through the given points is 7/4.

4 0

2 years ago

Write the quadratic equation in standard form: x^2+x=-4x^2+16

Rainbow [258]

Answer

-3 $x^{2}$ + $x$ +16=0

Step-by-step explanation:

4 0

3 years ago

When the new principal on a loan is $79,946.13 and the interest rate is 8 percent, the monthly payment is $587.20. Find the inte

lesya [120]

9514 1404 393

Answer:

to interest: $532.97
to principal: $54.23
new balance: $79,891.90

Step-by-step explanation:

The interest is found by multiplying the monthly rate by the balance on the loan. For the first month, the balance is the loan amount.

$79,946.13 × 0.08 ×(1/12) . . . . . one month = 1/12 year

= $532.97

The interest amount in the first payment is $532.97.

The amount of the first payment that goes to principal is what is left after the interest is paid:

$587.20 -532.97 = $54.23 . . . amount to principal

The new balance is the previous balance less the amount to principal:

$79,946.13 -54.23 = $79,891.90 . . . new balance

7 0

3 years ago

Which of the following are roots of the polynomial function?

Bingel [31]

Answer:

1 and -5

Step-by-step explanation:

$~~~~~x^3+3x^2-9x+5=0\\\\\implies x^3-x^2+4x^2-4x-5x+5=0\\\\\implies x^2(x-1)+4x(x-1)-5(x-1)=0\\\\\implies (x-1)(x^2 +4x -5) = 0\\\\\implies (x-1)(x^2+5x -x -5) = 0\\\\\implies (x-1)[x(x+5) -(x+5)] =0\\\\\implies (x-1)(x-1)(x+5)= 0\\\\\implies (x-1)^2(x+5) = 0\\\\\implies x = 1,~~ x = -5$

6 0

2 years ago