when asked to factor the trinomial 8x^2 -8x-16, a student gives the answer (x-2)(x+1). what is wrong with this answer?

Answers

Answer 1

Answer: D.8 is also a factor of this trinomial

Answer 2

Answer:

Final answer:

The student's answer is incorrect because they failed to factor out a common factor of 8. The correct factorisation of the trinomial 8x^2 -8x-16 is 8(x - 2)(x + 1).

Explanation:

The student's answer of (x-2)(x+1) is incorrect for the trinomial 8x^2 -8x-16. The first step in factoring a trinomial is to look for a common factor in all terms. In this case, we have a common factor of 8, so we can rewrite the trinomial as 8(x^2 - x -2). Then we can factorise the quadratic equation, x^2 - x - 2, within the parenthesis using the general formula ax²+bx+c = 0, where the solutions or roots can be calculated using the formula -b ± √b² - 4ac over 2a. Factoring this equation gives us (x - 2)(x + 1) but because of the initial 8 we factored out, the correct factoring of the trinomial would be 8(x-2)(x+1).

Learn more about Factoring Trinomials here:

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Paloma added a garden to her painting. She has 12 rows of flowers. Each row has 13 plants in it. Each plant has 15 flowers on it. How many flowers are in Palomas garden?

Answers

Answer: 2340 flowers

Step-by-step explanation:

From the question, Paloma added a garden to her painting. She has 12 rows of flowers and each row has 13 plants in it while each plant has 15 flowers on it. To calculate the number of flowers in Palomas garden, we multiply the number of rows by the total number of plants and the number of flowers in each plant. This will be:

= 12 × 13 × 15

= 2340 flowers

The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?{5, 8}
{-5, -8}
{3, 8}
{4, 7}
{4, 8}

Answers

Answer:

Hence, the domain of the function is:

{4,7}

Step-by-step explanation:

We are given the range of the function:

$f(k)=k^2+2k+1$ as {25,16}

The function f(k) could also be written as:

$f(k)=k^2+2k+1=k^2+k+k+1\n\nf(k)=k(k+1)+1(k+1)\n\nf(k)=(k+1)(k+1)\n\nf(k)=(k+1)^2$

The range is the value of the function at some k.

if f(k)=25 then we have to find the value of k.

$f(k)=25=5^2=(k+1)^2$

on taking square root on both side we have:

$k+1=5\n\nk=5-1\n\nk=4$

if f(k)=64 then we have to find the value of k.

$f(k)=64=8^2=(k+1)^2$

on taking square root on both side we have:

$k+1=8\n\nk=8-1\n\nk=7$

Hence, the domain of the function is:

{4,7}

The domain of a function contains the x-values of the function while the range of the function contains the y-values of the function. In this case, we substitute 25 and 64 to y. Then,
25 = k2 + 2 k + 1 (k-4) * (k+6) = 0
64 = k2 + 2 k + 1 (k-7) * (k+9) = 0
hence the domain is {-9,-6, 4,7}

At a restaurant, Brandy paid twice as much as Katie, and Katie paid $3 more than Stephanie. If the total combined amount they paid was $56, how much did Katie pay?

Answers

Let x = the amount that Katie spent
Katie: x dollars
Stephanie: x-3 dollars
Brandy: 2x dollars

Together they spent $56, so the sum of these numbers should equal $56
x + (x-3) + 2x = 56
x + x + 2x - 3 = 56
4x = 59
x= 14.75
Katie spent $14.75

Help me, need answer ASAP

Answers

b is maybe the answer not really sure

Wade's grandmother gave him $100 for his birthday. Wade wants to save his money to buy a new MP3 player that cost $275. Each month, he adds $25 to his MP3 savings. Write an equation in slope-intercept form for x, the number of months that it will take Wade to save $275

Answers

Answer:

The answer is:

275 = 25X + 100

Step-by-step explanation:

1.The equation for the slope- intercept is:

y = mx + b

2. Recognize and value variables

x = number of months

y = the expected range to arrive

m = is the amount Wade earns per month

b = the amount of money saved.

3. Solve the equation for X which is the unknown.

275 - 100 = 25X

175 / 25 = X

X = 7

4. . Show the result

275 = 25(7) + 100

275 = 275

5. Wade will take 7 months to buy your MP3 if he saves 25 for each month.

7 months because after the 100 dollars u add u 25 7 times to get 275

If the ratio of the area of circle A to the area of circle B is 2 : 1, then how many times larger is the circumference of circle A than the circumference of circle B?

Answers

area A / area B = 2 / 1; => radius A / radius B = $√(2)$ ;
circumference of circle A / circumfereance of circle B = radius A / radius B = $√(2)$ => $√(2)$ ≈1.41;

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