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2 years ago

Fill in the missing number to complete the factorization:

1 answer:

6 0

The last terms must multiply to the last terms (confusing)

example

if ax^3+bx^2+c+d=(ex+f)(gx+h)(jx+k) then
d=fhk

so

70 is last term
we got 2 and 5
2*5*?=70
10*?=70
divide by 10
?=7

the missing number is 7

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You know 1000 mg = 1g. Convert 2.5 grams into milligrams.

Nuetrik [128]

The answer is 2500 milligrams

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2 years ago

). If a, ß are zeroes of the quadratic polynomial p(x)=kx²+4x+4 such

natta225 [31]

Answer:

The values of k are 2/3 and -1

Step-by-step explanation:

Product of zeros = αβ= constant / coefficient of x^2 = 4/k

Sum of zeros =α+β = - coefficient of x / coefficient of x^2= -4/k

Given

Consider a= α and b= β

$(\alpha)^2 + (\beta)^2 = 24$

$(\alpha)^2 + (\beta)^2$ can be written as $(\alpha)^2 + 2(\alpha)(\beta) + (\beta)^2$ if we add $\pm 2 (\alpha)(\beta)$ in the above equation.

$(\alpha)^2 + 2(\alpha)(\beta) + (\beta)^2 -2(\alpha)(\beta)$

$(\alpha + \beta)^2 -2(\alpha)(\beta)$

Putting values of αβ and α+β

$(\frac {-4}{k})^2 -2( \frac {4}{k}) = 24\\\frac {16}{k^2} - \frac {8}{k} = 24\\Multiplying\,\, the \,\, equation\,\, with\,\, 8K^2\\ 2 - k= 3K^2\\3k^2-2+k=0\\or\\3k^2+k-2=0\\3k^2+3k-2k-2=0\\3k(k+1)-2(k+1)=0\\(3k-2)(k+1)=0\\3k-2=0 \,\,and\,\, k+1 =0\\k= 2/3 \,\,and\,\, k=-1$

The values of k are 2/3 and -1

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2 years ago

Show Work <br><br> What is the value of M when<br><br> -4m + 8m = -16?

Natalija [7]

-4m + 8m = -16
4m = -16
m = -16 / 4
m = -4

3 0

2 years ago

Show how to apply the order of operation rules as you simplify the following expression. |-15| – 33 ÷ 11

Anna35 [415]

PEMDAS
|-15|-33÷11 division comes before subtraction so you do 33÷11 which is three and then the absolute value of -15 which is 15 and do 15-3 which is 12

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2 years ago

Read 2 more answers

Write a function rule to represent the situation the total c for p pounds of plutonium if each pound cost $3.79

ser-zykov [4K]

Answer:

$3.79p

Step-by-step explanation:

If 3.79 is the cost than it has to be multiplied for however many pounds it is

6 0

2 years ago