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3 years ago

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

Mathematics

2 answers:

Svetllana [295]3 years ago

8 0

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

Aloiza [94]3 years ago

8 0

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 $-x^2+2x-3$

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Find (F/g)(x) F(x) = sqrt x^2-1 g(x) sqrt x-1

Margaret [11]

Answer:

Option A. √(x + 1)

Step-by-step explanation:

Data obtained from the question include:

f(x) = √(x² – 1)

g(x) = √(x – 1)

(f/g) (x) =..?

(x² – 1) => difference of two square

(x² – 1) => (x – 1)(x + 1)

f(x) = √(x² – 1)

f(x) = √(x – 1)(x + 1)

(f/g) (x) = f(x) /g(x)

f(x) = √(x – 1)(x + 1)

g(x) = √(x – 1)

(f/g) (x) = √(x – 1)(x + 1) / √(x – 1)

(f/g) (x) = √[(x – 1)(x + 1) / (x – 1)]

(f/g) (x) = √(x + 1)

7 0

3 years ago

Solve for k, m = 3kx/7 - 9

kap26 [50]

Answer:

(7m + 63)/3x = k

Step-by-step explanation:

m=3kx/7 - 9

add 9 to both sides:

m+ 9 = 3kx/7

multiply both sides by 7:

7(m+9) = 3kx

distribute the 7:

7m+63 = 3kx

divide both sides by 3x:

(7m + 63)/3x = k

3 0

3 years ago

There is a spinner with 14 equal areas, numbered 1 through 14. If the spinner is spun one time, what is the probability that the

vfiekz [6]

Answer:

Probability that the result is a multiple of 4 or a multiple of 3= 0.428

Step-by-step explanation:

The spinner is divided into 14 equal areas.

Probability of an event= $\frac{number of favourable outcomes}{total number of outcomes}$

For favourable events,result should be a multiple of 3 or 4.

All the possible outcomes are=1,2,3,4,5,6,7,8,9,10,11,12,13,14

Multiples of 3=3,6,9,12

Multiples of 4=4,8,12

Hence the favourable outcomes are=3,4,6,8,9,12

Number of favourable outcomes=6

Total number of outcomes=14

Probability= $\frac{6}{14}$

=0.428

5 0

3 years ago

Please help me <3 uwu

boyakko [2]

Answer:

D or the Last one

Step-by-step explanation:

because the equation equals that and it is a perfect square method because the middle term is not canceled out. Hope this helps!

4 0

3 years ago

With a detailed explanation from the internet 1/(x-5)+3/(x+2)=4

irga5000 [103]

Answer:

$\boxed{ \sf x=\dfrac{4\pm\sqrt{43}}{2}}$

Explanation:

$\rightarrow \sf \dfrac{1}{x-5}+\dfrac{3}{x+2}=4$

make the denominators same

$\rightarrow \sf \dfrac{1(x+2)}{(x-5)(x+2)}+\dfrac{3(x-5)}{(x+2)(x-5)}=4$

join the fractions together

$\rightarrow \sf \dfrac{x+2+3x-15}{(x-5)(x+2)}=4$

cross multiply

$\rightarrow \sf x+2+3x-15=4(x-5)(x+2)$

simplify

$\rightarrow \sf 4x-13=4x^2-12x-40$

group the variables

$\rightarrow \sf 4x^2-16x-27 = 0$

use quadratic formula

$\rightarrow \sf x = \dfrac{-\left(-16\right)\pm \sqrt{\left(-16\right)^2-4\cdot \:4\left(-27\right)}}{2\cdot \:4}$

simplify the following

$\rightarrow \sf x=\dfrac{4\pm\sqrt{43}}{2}$

7 0

2 years ago

Read 2 more answers