1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mario62 [17]
3 years ago
15

PLEASE HELP!!! WILL GIVE BRAINLIEST AWARD FOR BEST EXPLAINED! PLEASE HELP

Mathematics
2 answers:
Arada [10]3 years ago
8 0

Answer:

[1]

Given: (5x^3 + 3x^2 - 7x + 10) - (3x^3 - x^2 + 4x - 1)

Remove the parenthesis, we get;

(5x^3 + 3x^2 - 7x + 10) - (3x^3-x^2+ 4x -1)

5x^3 + 3x^2 - 7x + 10- 3x^3 + x^2- 4x + 1

Like terms are the those terms with same variable and powers.

Combine like terms;

2x^3 + 4x^2 - 11x + 11

To write this polynomial in standard form, you write starting with the term with the highest degree, or exponent(i.e x^3), and then in decreasing order .

Standard form: 2x^3 + 4x^2 - 11x + 11

To, classify a polynomial by degree, you just look at the highest exponent, or degree.

Since, 3 is the highest degree (x^3), it is a cubic.

Now, classify a polynomial by the number of terms, count how many terms are in the polynomial( 2x^3 + 4x^2 - 11x + 11)

Number of terms: 4 (so this is polynomial)

[2]

Similarly,

for  (9w - 4w^2 + 10) + (8w^2 + 7 + 5w)

Remove the parenthesis, we get;

9w - 4w^2 + 10+ 8w^2 + 7 + 5w

Combine like terms; we have

14w + 4w^2 + 17

Standard form: 4w^2 + 14w + 17

Degree of the polynomial is, 2

Number of terms: 3 ( so, this is trinomial)



kvasek [131]3 years ago
5 0
Let's simplify step-by-step. answer one <span><span><span><span><span>5<span>x3</span></span>+<span>3<span>x2</span></span></span>−<span>7x</span></span>+10</span>−<span>(<span><span><span><span>3<span>x3</span></span>−<span>x2</span></span>+<span>4x</span></span>−1</span>)</span></span>Distribute the Negative Sign:<span>=<span><span><span><span><span>5<span>x3</span></span>+<span>3<span>x2</span></span></span>−<span>7x</span></span>+10</span>+<span><span>−1</span><span>(<span><span><span><span>3<span>x3</span></span>−<span>x2</span></span>+<span>4x</span></span>−1</span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span>5<span>x3</span></span>+<span>3<span>x2</span></span></span>+</span>−<span>7x</span></span>+10</span>+<span><span>−1</span><span>(<span>3<span>x3</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>−<span>x2</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>4x</span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(<span>−1</span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span>5<span>x3</span></span>+<span>3<span>x2</span></span></span>+</span>−<span>7x</span></span>+10</span>+</span>−<span>3<span>x3</span></span></span>+<span>x2</span></span>+</span>−<span>4x</span></span>+1</span></span>Combine Like Terms:<span>=<span><span><span><span><span><span><span><span>5<span>x3</span></span>+<span>3<span>x2</span></span></span>+<span>−<span>7x</span></span></span>+10</span>+<span>−<span>3<span>x3</span></span></span></span>+<span>x2</span></span>+<span>−<span>4x</span></span></span>+1</span></span><span>=<span><span><span><span>(<span><span>5<span>x3</span></span>+<span>−<span>3<span>x3</span></span></span></span>)</span>+<span>(<span><span>3<span>x2</span></span>+<span>x2</span></span>)</span></span>+<span>(<span><span>−<span>7x</span></span>+<span>−<span>4x</span></span></span>)</span></span>+<span>(<span>10+1</span>)</span></span></span><span>=<span><span><span><span>2<span>x3</span></span>+<span>4<span>x2</span></span></span>+<span>−<span>11x</span></span></span>+11</span></span>Answer:<span>=<span><span><span><span>2<span>x3</span></span>+<span>4<span>x2</span></span></span>−<span>11x</span></span>+<span>11
------------------------------------------------------------------------
answer two
</span></span></span>Let's simplify step-by-step.<span><span><span><span><span><span>9w</span>−<span>4<span>w2</span></span></span>+10</span>+<span>8<span>w2</span></span></span>+7</span>+<span>5w</span></span><span>=<span><span><span><span><span><span><span>9w</span>+</span>−<span>4<span>w2</span></span></span>+10</span>+<span>8<span>w2</span></span></span>+7</span>+<span>5w</span></span></span>Combine Like Terms:<span>=<span><span><span><span><span><span>9w</span>+<span>−<span>4<span>w2</span></span></span></span>+10</span>+<span>8<span>w2</span></span></span>+7</span>+<span>5w</span></span></span><span>=<span><span><span>(<span><span>−<span>4<span>w2</span></span></span>+<span>8<span>w2</span></span></span>)</span>+<span>(<span><span>9w</span>+<span>5w</span></span>)</span></span>+<span>(<span>10+7</span>)</span></span></span><span>=<span><span><span>4<span>w2</span></span>+<span>14w</span></span>+17</span></span>Answer:<span>=<span><span><span>4<span>w2</span></span>+<span>14w</span></span>+<span>17</span></span></span>
You might be interested in
The hornet huge wheel is an observational wheel circumference of 400 meters and on a stand that is 15 meters that travel at a sp
kolbaska11 [484]
Im not sure but i think the answer is about 266.6
6 0
3 years ago
PLEASE HELP (must show work) Show all work to factor x4 - 17x2 + 16 completely.
Firdavs [7]
There i hope this helped

4 0
3 years ago
A Polynomial Identity is True when you work the problem out and both sides are equal to each other
USPshnik [31]

answer

it is true

step by step explanation

4 0
2 years ago
Can someone help me?
Oxana [17]

Answer:

Step-by-step explanation:

To start calculating, we first need to make some proof.

Firstly, since AB = AC, we know that ΔABC is isosceles, which means that ∠ABC = ∠ACB.

Now, looking only to ΔBDE and ΔCDF, we can see that they are similar, because the two of its angles are congruent:

∠BED=∠CFD

∠DBE=∠DCF

To make it easier to visualize which are the corresponding vertexes, we can draw them like this:

And we need to remember that BC is 24, so:

BD+CD=24

Since the triangles are similar, their corresponding sides have constant ratio, which we can calculate from the corresponding sides DE and CF:

r=\frac{CF}{DE} =\frac{7.5}{4.5} =\frac{5}{3}

This ratio is the same for the other corresponding sides, so we can apply that for BD and CD:

r=\frac{CD}{BD} =\frac{5}{3}\\&#10; \frac{BD}{CD}=\frac{3}{5}  \\\\&#10;BD=\frac{3}{5} Cd

Thus, the measure of CF is approximately 13, alternative D.

3 0
2 years ago
Help math math math ASAP
STALIN [3.7K]
<h3><u>Solution</u>:-</h3>

The equation of any straight line can be written as in slope intercept form as -

\green{ \underline { \boxed{ \sf{y=mx+c}}}}

where,

  • m is its slope
  • c is its y-intercept.

<em><u>Given equation:- </u></em>

\begin{gathered}\\\implies\quad \sf 5x+y = 10 \\\end{gathered}

<u>Arranging it in slope intercept form by transposing 5x to RHS </u>

\begin{gathered}\\\implies\quad \sf y = 10 -5x \\\end{gathered}

\begin{gathered}\\\implies\quad \sf y =  -5x +10\\\end{gathered}

\leadstoComparing the equation y = -5x +10 with the standard form of the equation, we get -

\quad \bull\: \sf m= -5

\quad \bull \: \sf c= 10

Thus , 5 is our required answer.

4 0
2 years ago
Read 2 more answers
Other questions:
  • Many major-league baseball pitchers can throw the ball at 90 miles per hour. At that speed, how long does it take a pitch to tra
    13·2 answers
  • One car rental agency rents a basic car at a daily rate of ​$37.95 plus 40 cents per mile. Another company rents a basic car for
    11·1 answer
  • What is the intercept of y+3=1/2x and y=5x-7x+8
    14·1 answer
  • In Jana's closet she has 5 pairs of black shoes and 11 pairs of leather shoes. Two of her pairs of shoes are both black and leat
    15·1 answer
  • 2. Which of the following statements about the number line is true?
    8·1 answer
  • Find the slop of the line passing through the given points (2,3),(-1,-6)
    10·1 answer
  • Teresa Alice drove 383.5 miles in 6.5 hours. What is her average rate of speed?​
    12·1 answer
  • PLEASE HELP! I CANT GET A BAD GRADE!
    10·1 answer
  • Please help me I need the answer for this question. correct one please
    12·1 answer
  • PLEASE HELP FAST!! 1) Construct the perpendicular bisector of the given
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!