MATHEMATICS HIGH SCHOOL

What is the sum of the given polynomials in standard form?
(x2 – 3x) + (–2x2 + 5x – 3)

Answers

Answer 1
Answer: Combine like terms. -x2 +2x -3 is the answer.
Answer 2
Answer:

Answer:

-x^2+2x-3

Step-by-step explanation:

The given polynomial expression is

(x^2-3x)+(-2x^2+5x-3)

We regroup the terms in the polynomial to obtain;

x^2-2x^2-3x+5x-3

We combine like terms to get;

-x^2+2x-3

When we arrange the terms in the polynomial in descending powers of x, then we say it is in standard form.

The simplified polynomial in standard form is  -x^2+2x-3

Related Questions

Using the defects method, which of these relationships represents the Law of Cosines if the measure of the included angle between the sides a and b of ∆ABC is more than 90°? A. area of square c2 = -area of square a2 – area of square b2 + area of defect1 + area of defect2 B. area of square c2 = area of square a2 + area of square b2 + area of defect1 – area of defect2 C. area of square c2 = area of square a2 + area of square b2 – area of defect1 – area of defect2 D. area of square c
John is going to invest $820 and leave it in an account for 19 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for John to end up with $1,830?
PLEASE HELP!! Please solve question I need help!
What number is 22% of 320?         A. 7040   B. 70.4   C. 704   D. 7.04
What is 3-3 times 6+2=

Let L1 be the line passing through the points Q1=(−1, 5, 2) and Q2=(−2, 7, 3) and let L2 be the line passing through the point P1=(−8, 4, 9) with direction vector →d=[−6, 3, 6]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q.

Answers

Answer:

yes they intersect

point of intersection is (-17.6,38.2,18.6)

Step-by-step explanation:

the direction vector for L2 is given but for L1 it is not given.

Let's first find the direction vector for the L1 as;

from points Q1 and Q2 we can find the direction vector by subtracting there corresponding coordinates (x,y,z) as;

-1-(-2), 5-7, 2-3

direction vector for L1= [1,-2,-1]k

Now the equation for L1 is;

x1=-2+k

y1=7-2k

z1=3-k

direction vector for L2 is =[−6, 3, 6]T

So the equation for the L2 is;

x2=-8-6T

y2=4+3T

z2=9+6T

If these points are intersecting then there x coordinates must be equal, y coordinates must be equal and z coordinates must also be equal as;

x1=x2; y1=y2; z1=z2;

-2+k=-8-6T.......(a)

7-2k=4+3T.......(b)

3-k=9+6T.........(c)

subtracting (a) and (c) we get

-2+k=-8-6T

-( 3-k=9+6T)

______________

-5+2k=-17-12T.......(d)

adding (b) and (d) we get

7-2k=4+3T

-5+2k=-17-12T

______________

-2=13-9T

T=1.6 putting in (a) we get k as;

-2+k=-8-6(1.6)

k=-15.6

putting T and k, if it satisfy the equation then they intersect

(c)=3-(-15.6)=9+6(1.6)

18.6=18.6 satisfied.

thus they intersect each other and their point of intersection is

x=-2-15.6

x=-17.6

y=7-2(-15.6)

y=38.2

z=3-(-15.6)

z=18.6

point of intersection is (-17.6,38.2,18.6)

Juan Ramirez sells suits in a major department store on weekends. He earns a commission of 5 percent on the first ten suits, and if he sells more than ten, he earns an additional 3 percent on the additional suits.
Last weekend Juan sold thirteen $250 suits. What was his commission?

Answers

Commission on the first ten suits: p=5%=0.05
10 * 250 * 0.05 = 2500 * 0.05 = $125
Commission on additional 3 suits:p=5+3=8%=0.08
3 * 250 * 0.08= 750 * 0.08 = $60
In total: 125 + 60 = $185
Answer: His commission was $185.
 

Seven people, named Anna, Bob, Chandra, Darlene, Ed, Frank, and Gina, will be interviewed for a job. The interviewer will choose two at random to interview on the first day. What is the probability that Anna is interviewed first, and Darlene is interviewed second?

Answers

Answer:

0.0238

Step-by-step explanation:

Total number of persons to be chosen from = 7

If each person has an equal probability of being selected ;

Number of persons to be selected = 2

Probability = required outcome / Total possible outcomes

P(Anna first) = 1 / 7

Recall; this is a selection without replacement ;

P(Darlene second) = 1 / 6

1/7 * 1/ 6 = 1 / 42 = 0.0238

What is the value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500? Round to the nearest integer.

Answers

17.5 bc that’s an integer and 17,500 is not and you don’t need the extra zeros at the end anyways

Use the intercepts to graph the equation. -x+2y=4

Answers

Answer:

X-intercept: To find the x-intercept, set y to 0 and solve for x.

-x + 2(0) = 4

-x = 4

x = -4

So, the x-intercept is (-4, 0).

Y-intercept: To find the y-intercept, set x to 0 and solve for y.

-0 + 2y = 4

2y = 4

y = 4/2

y = 2

So, the y-intercept is (0, 2).

Step-by-step explanation:

Express the set in roster form.{x|x is an integer greater than -6}

Answers

\{x|x\in\mathbb{Z}\ \wedge\ x > -6\}=\{-5;-4;-3;-2;-1;\ 0;\ 1;\ 2;\ 3;\ 4;\ 5;..\}
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