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2 years ago

How is "y more than 4 is -36" written and what is the answer

Mathematics

1 answer:

Crazy boy [7]2 years ago

8 0

Answer:

y+4=-36 and the answer is y=-40

Step-by-step explanation:

So the word is means equals, meaning we can change it to say

"y more than 4 = -36

and more than means addition so we can put a plus sign there and we get

y+4=-36

then to solve this equation we need to get y by itself on one side and to do that we can move the 4 to the other side by subtracting it on both sides to cancel out the addition and we get y=-40

I hope this helps and please don't hesitate to ask if there is anything still unclear!

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Find a third-degree polynomial equation with rational coefficients that has the roots 2 and -3 + i.

NeTakaya

Answer:

Option B

Step-by-step explanation:

Complex roots occur as conjugate pairs so the third root is -3 - i ( note that the sign changes from + to -).

So in factor form we have:-

(x - 2)(x - (-3 + i))(x - (-3 - i)) = 0 Let's expand the last 2 factors first:-

(x - (-3 + i))(x - (-3 - i))

= (x + 3 - i)(x + 3 + i)

= x^2 + 3x +ix + 3x + 9 + 3i - ix - 3i - i^2

= x^2 + 6x + 9 - (-1)

= x^2 + 6x + 10

Now multiplying by (x - 2):-

(x - 2)(x^2 + 6x + 10) = 0

x^3 + 6x^2 + 10x - 2x^2 - 12x - 20 = 0

x^3 + 4x^2 - 2x - 20 = 0 (answer)

Option B

5 0

3 years ago

Find the constant $a$ such that\[(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28.\]

Colt1911 [192]

The value of constant a is -5

Further explanation:

We will use the comparison of co-efficient method for finding the value of a

So,

Given

$(x^2 - 3x + 4)(2x^2 +ax + 7)\\= x^2((2x^2 +ax + 7)-3x((2x^2 +ax + 7)+4(2x^2 +ax + 7)\\= 2x^4+ax^3+7x^2-6x^3-3ax^2-21x+8x^2+4ax+28\\Combining\ alike\ terms\\=2x^4+ax^3-6x^3+7x^2-3ax^2+8x^2-21x+4ax+28\\= 2x^4 +(a-6)x^3+(15-3a)x^2-(21-4a)x+28\\$

As it is given that

(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28

In this case, co-efficient of variables will be equal, so we can compare the coefficients of x^3, x^2 or x

Comparing coefficient of x^3

$a-6 = -11\\a = -11+6\\a = -5$

So the value of constant a is -5

Keywords: Polynomials, factorization

Learn more about factorization at:

#LearnwithBrainly

4 0

3 years ago

Solve for y: 2y + 3 =11 Solve for x: 2/3x = 18

laiz [17]

Answer: y=4 x=27

Step-by-step explanation: 2y+3=11

-3 -3

2y=8

/2 /2

y=4

2/3x=18

(3) (3)

2x=54

/2 /2

X=27

5 0

2 years ago

Read 2 more answers

Vectors and scalars ________ are-are not the same

givi [52]

Vectors and scalars are not the same quantity

7 0

2 years ago

Read 2 more answers

Based on information from Consumer Reports, a random sample of 35 thirty-gram cookies had a sample mean of 146 calories. The sta

Nonamiya [84]

Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.

The information given is:

Sample mean of $\overline{x} = 146$ .

Population standard deviation of $\sigma = 12$ .

Sample size of $n = 65$ .

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:

$\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143$

$\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149$

The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

A similar problem is given at brainly.com/question/16807970

8 0

2 years ago

How is "y more than 4 is -36" written and what is the answer ​

How is "y more than 4 is -36" written and what is the answer