The first step in the process for factoring the trinomial x2-3x - 40

1 answer:

3 0

We need two numbers that when multiplied will give you -40 and when added will give you -3:
(x+5) (x-8) this is your answer. And you want to know the process Here it goes. And attached is a chart I made you so you can visually see what this process is telling you:
1) identify a,b, and c in the trinomial ax^2 + bx+c (in your case it's 1x^2-3x-40= x^2-3x-40)
2) write down all factor pairs of c (numbers that multiplied produce -40)
3) identify which factor pair from the previous step sums up to b
4) Substitute factor pairs into two binomials

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I need this rn 3×-7 equivalent expressions A. -21 B. 4 C. -4 D. 21

Drupady [299]

Answer: The answer is A. -21

Its simplified and i just multiplied 3 by -7 :)

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2 years ago

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Help with the 2 question .. 20 points

Bas_tet [7]

Answer:

see explanation

Step-by-step explanation:

c = a - 2b

= < 4, 5, 6 > - 2 < 1, 2, 3 > ← multiply each component by 2

= < 4, 5, 6 > - < 2, 4, 6 > ← subtract corresponding components

= < 4 - 2, 5 - 4, 6 - 6 > = < 2, 1, 0 >

| c | = $\sqrt{2^2+1^2+0^2}$ = $\sqrt{4+1+0}$ = $\sqrt{5}$

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sum the product of corresponding components

u.v = (3 × 2) + (- 2 × - 1) + (4 × - 6) = 6 + 2 - 24 = - 16

6 0

3 years ago

Justin deposited $2,000 into an account 5 years ago. Simple interest was paid on the account. He has just withdrawn $2,876. What

sdas [7]

Answer: $8.76\%$

Step-by-step explanation:

The formula to find the final amount after getting simple interest :

$A=P(1+rt)$ , where P is the principal amount , r is rate of interest ( in decimal )and t is time(years).

Given : Justin deposited $2,000 into an account 5 years ago.

i.e. P = $2,000 and t= 5 years

He has just withdrawn $2,876.

i.e. we assume that A = $2876

Now, Put all the values in the formula , we get

$(2876)=(2000)(1+r(5))\\\\\Rightarrow\ 1+5r=\dfrac{2876}{2000}\\\\\Rightarrow\ 1+5r=1.438\\\\\Righhtarrow\ 5r=0.438\\\\\Rightarrow\ r=\dfrac{0.438}{5}=0.0876$