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Liono4ka [1.6K]
3 years ago
11

Factor the trinomial step by step & explain 2x^2+ 5x + 3

Mathematics
1 answer:
Colt1911 [192]3 years ago
8 0

Answer:

One way to factor equation is to find the zeros. Its obvious that x=-1 is solution for this. So one factor is (x+1)

the next factor should include 2x at first (because we have 2x^2 in the equation which can not be made any other way)

Let's suppose the factor is (x+1)(2x+b)

Since we do not know what is b open the brackets 2x^2+bx+2x+b. If this is equal to 2x^2+5x+3 then b=3. We are left with (x+1)(2x+3)=2(x+1)(x+3/2)

Would go for other shorter solutions, but they require some deeper understanding like Horner's scheme,Fermat's Theorem or even deeper which I assume You will not understand)

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Bella earned the federal minimum wage in the year 2008. During that time, she worked 37.5 hours per week. How much money did she
Mariana [72]

Answer:

Belle's weekly earnings per week in 2008: $245.7

Step-by-step explanation:

The federal minimum wage in the year 2008 was: $6.55

She worked 37.5 hours per week.

She earn each week:

weekly earnings = 6.55*37.5=245.7

7 0
2 years ago
Read 2 more answers
The nth term of a sequence is 60-8n. Find the largest number in this sequence.
natka813 [3]

Answer:

52

Step-by-step explanation:

1st term is =60-8=52

a2=60-16=44

a3=60-24=36

a4=60-32=28

a5=60-40=20

a6=60-48=12

....

sI the terms are 52,44,36,28, 20,12,4,-4,-12....

so the largest term is 52

6 0
2 years ago
ASAP IM BEING TIME PLEASE!!
andre [41]

x° = 14°, y° = 14°; Use vertical and supplementary angles.

Step-by-step explanation:

The image of the answer is attached below.

In the given image two lines are parallel with transversal.

(9x + 12)° and ∠1 are vertically opposite angles.

Vertically opposite angles are equal.

∠1 = (9x + 12)°

Consecutive interior angles are supplementary.

(9x + 12)° + 3x° = 180°

⇒ 12x° = 168°

⇒ x° = 14°

Sum of the adjacent angles in a line are supplementary.

3x° + (4y – 10)° = 180°

⇒ 3(14)° + 4y° – 10° = 180°

⇒ 4y° = 148°

⇒ y° = 14°

Hence, x° = 14°, y° = 14°; Use vertical and supplementary angles.

6 0
3 years ago
Suppose that the functions g and h are defined for all real numbers r as follows. gx) -4x +5 h (x) = 6x write the expressions fo
aleksandr82 [10.1K]

Answer: Our required values would be -10x+5, 2x+5 and -25.

Step-by-step explanation:

Since we have given that

g(x) = -4x+5

and

h(x) = 6x

We need to find  (g-h)(x) and (g+h)(x).

So, (g-h)(x) is given by

g(x)-h(x)\\\\=-4x+5-6x\\\\=-10x+5

and (g+h)(x) is given by

g(x)+h(x)\\\\=-4x+5+6x\\\\=2x+5

and (g-h)(3) is given by

-10(3)+5\\\\=-30+5\\\\=-25

Hence, our required values would be -10x+5, 2x+5 and -25.

5 0
3 years ago
Find the measure of c.<br> (1<br> 27<br> O A. 31.6<br> B. 27<br> C. 63<br> D. 126
professor190 [17]

Answer:

The answer is

The measure of c is 63

5 0
3 years ago
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