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Dafna11 [192]
3 years ago
8

The diagram represents the factorization of a2 + 8a + 12.What is the missing number that will complete the factorization? a2 + 8

a + 12 = (a + 2)(a + )
Mathematics
2 answers:
jarptica [38.1K]3 years ago
8 0
To factor a quadratic of the form ax^2+bx+c you need to find two values, j and k, which satisfy two conditions...

jk=ac=12 and j+k=b=8, so j and k must be 2 and 6

Then the factors are just (a+j)(a+k), in this case:

(a+2)(a+6)

So the missing term was 6
Hatshy [7]3 years ago
3 0
I'm assuming the a is squared.

You have to find what multiplies to make 12 (1st number and last multiplied together) and adds to make 8 (the middle number). In this case the two numbers you need are 2 and 6, and so your missing number is 6. If you want to check, you can multiply out the brackets. Hope I explained well enough.
You might be interested in
Solve (x + 3)2 – 5 = 0 using the quadratic formula.
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

(x+3)² -5 =0 , use the formula (a+b) ² = a²+b²+2ab

x²+9 +6x -5 =0 , combine like terms

x²+6x +4 =0, use the quadratic formula x = (-b±√b²-4ac)/2a

x= (-6 ±√6²-4*1*4)/2*1

x= (-6 ± √36-16) /2

x= (-6±√20)/2

x=(-6 +2√5)/2 and x=( -6-2√5) /2, factor 2 in the numerator and simplify

x= -3 +√5 and x= -3 -√5

4 0
3 years ago
What is the value of y in this system of equations: 3x + y = 9 y = –4x + 10 ?
Ahat [919]
<span>3x + y = 9 (I)
</span><span>y = –4x + 10 (II)
------------------------
</span>\left \{ {{3x + y = 9 } \atop {y = -4x + 10 }} \right.

Pass the incognito "4x" to the first term, changing the signal when changing sides.
<span>-------------------------
simplify by (-1)
</span>\left \{ {{3x + y = 9.(-1)} \atop {4x + y = 10 }} \right.<span>

-------------------------
</span>\left \{ {{- 3x - \diagup\!\!\!\!y =-9} \atop {4x + \diagup\!\!\!\!y = 10}} \right.     &#10;
<span>
-------------------------
</span>\left \{ {{- 3x = - 9} \atop {4x = 10}} \right.<span>

-----------
</span>\boxed{x = 1}<span><span>

</span></span><span>Substitute in equation (I) to find the value of "Y".

</span>3x + y = 9 (I)
3*(1) + y = 9
3 + y = 9
y = 9 - 3
\boxed{y = 6}

Answer:
\boxed{\boxed{ \left \ {{x=1} \atop {y=6}} \right. }}

6 0
3 years ago
Please help me idk this
d1i1m1o1n [39]

Answer:

105

Step-by-step explanation:

500 goes into 100, 5 times

21 times 5 is 105

So 21/100 is equal to 105/500

Or you can do

500*0.21=105

4 0
3 years ago
Read 2 more answers
You deposited 800 dollars in an account that pays 6% interest compounded monthly. How much will your account be worth after 10 y
Korvikt [17]
The answer is D. $14,55.52. I got this answer by using the compound interest formula which would be Y=800(1+.06/12)^12•10. Hope this helps!! :)

5 0
3 years ago
3. Assume that the likelihood of a child under the age of ten watching PBS is 0.76. Three children are
natta225 [31]

Using the binomial distribution, the probabilities are given as follows:

a) 0.4159 = 41.59%.

b) 0.5610 = 56.10%.

c) 0.8549 = 85.49%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

For this problem, the values of the parameters are:

n = 3, p = 0.76.

Item a:

The probability is P(X = 2), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{3,2}.(0.76)^{2}.(0.24)^{1} = 0.4159

Item b:

The probability is P(X < 3), hence:

P(X < 3) = 1 - P(X = 3)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.76)^{3}.(0.24)^{0} = 0.4390

Then:

P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.

Item c:

The probability is:

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4159 + 0.4390 = 0.8549

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0
2 years ago
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