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3 years ago

Please help me on these two questions

Mathematics

2 answers:

iragen [17]3 years ago

6 0

Answer:

Question 8.) Choice d.) 4 + x + 6x = 4 + 7x

Question 9.) Choice b.) 18 - 15 + 4n + 5n simplifies to 9n + 3

Step-by-step explanation:

For the first question, like terms are terms that have the same variables, and not necessarily the same coefficient numbers.

first problem, x + y + xy all have unique terms. x is different from y and is different from xy

so it cannot be A.

Choice d. has like terms x and 6x so 4 + x + 6x can simplify to 4 + 7x

Choice b.) 18 - 15 + 4n + 5n simplifies to 9n + 3

irina [24]3 years ago

3 0

Answer:A for the first one and C for the second one

Step-by-step explanation:

You might be interested in

Find the polynomial of least degree in standard form with the given roots: x = 2, 3i

Dmitriy789 [7]

Answer:

x^3 - 2x^2 + 9x - 18.

Step-by-step explanation:

The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.

So we have:

P(x) = (x - 2)(x - 3i)(x + 3i)

= (x - 2)(x^2 - 9i^2)

= (x - 2)(x^2 - 9*-1)

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

= x^3 + 9x - 2x^2 - 18

= x^3 - 2x^2 + 9x - 18.

4 0

2 years ago

Need help answering this problem

klasskru [66]

Answer:

(a) Local Maximum (x,y) = (0,12)

Local Minimum (x,y) = (-9,6) (smaller x-value)

Local Minimum (x,y) = (6,3) (Larger x-value)

(b) Increasing = $(-9,0)\cup (6,\infty)$

Decreasing = $(\infty,-9)\cup (0,6)$

Step-by-step explanation:

(a)

Local Maximum: The function gives maximum value in small neighborhood.

From the given graph it is clear that the maximum value of the function is 12 at x=0. So,

Local Maximum (x,y) = (0,12)

Local Minimum: The function gives minimum value in small neighborhood.

It is clear that the minimum value of the function is -6 and 3 at x=-9 and x=6. So,

Local Minimum (x,y) = (-9,6) (smaller x-value)

Local Minimum (x,y) = (6,3) (Larger x-value)

(b)

The function is increasing on -9<x<0 and after 6.

Increasing = $(-9,0)\cup (6,\infty)$

The function is decreasing on 0<x<6 and before -9.

Decreasing = $(\infty,-9)\cup (0,6)$

8 0

2 years ago

Which angles appear to be congruent? Please help me!

KATRIN_1 [288]

Ik that it isn’t one I think it is three and Ik it is the last one I think that is that right one

6 0

2 years ago

Simplifying square roots problem below.

Mars2501 [29]

Break x⁴ into x³ and x¹, watch the step below
$\sqrt[3]{ x^{4} }$
$= \sqrt[3]{ x^{3+1} }$

Remember that
$\sqrt{ x^{m+n} } = \sqrt{ x^{m} } \sqrt{ x^{n} }$

Use the property above to simplify the root
$= \sqrt[3]{ x^{3+1} }$
$=(\sqrt[3]{ x^{3} })( \sqrt[3]{x^{1}} )$
= x ∛x

The answer is first option

6 0

2 years ago

PLEASE HELP me solve algebraically. J) 4(1-2j) = 7(2j + 10) K) 4/3h=12 L) n/5= 2 + n/3 M) d/4 - 2/3 = 2 N= 7= -2 (-3 - x)

Paul [167]

Answer:

J ) j = - 3,

K ) h = 9,

M ) d = - 24,

N ) x = 1 / 2

Step-by-step explanation:

J )

$4(1-2j) = 7(2j + 10),\\4-8j=14j+70,\\-8j=14j+66,\\\\-22j=66,\\j = - 3,\\\\Solution, j = - 3$

I applied the distributive property, resulting in the second step. Afterwards I subtracted 4 from either side of the equation, received - 22j = 66 after combining like terms, and divided - 22 on either side to get j = -3.

K )

$4 / 3h = 12,\\4h = 36,\\h = 36 / 4 = 9\\\\Solution, h = 9$

Multiplying each end of the equation by 3 resulted in the simplified expression 4h = 36. Dividing either side by 4, I got h = 9.

M )

$d / 4 - d / 3 = 2,\\3d - 4d = 24,\\- d = 24,\\\\Solution, d = - 24$

Taking the LCM of 4 and 3, I got 12, multiplying either side by 12 / 12. Combining like terms and dividing - 1 on either side of the equation - d = 24, I received d = - 24.

N )

$7 = - 2 * ( - 3 - x ),\\- 3 - x = - 7 / 2,\\- x = - 1 / 2,\\\\Solution, x = 1 / 2$

After dividing the first equation by - 2 on each end, I received a simplified equation that, by adding 3 on it's part, got x to be = 1 / 2

8 0

2 years ago