All categories

3 years ago

What is the solution to the following equation?

Mathematics

1 answer:

nexus9112 [7]3 years ago

8 0

Answer:

The answer to your question is the letter B. x = 6

Step-by-step explanation:

Data

4x² - 48x = -144

Process

1.- Equal to zero

4x² - 48x + 144 = 0

2.- Multiply 4 by 144

4 x 144 = 576

3.- Find the prime factors of 576

576 2

288 2

144 2

72 2

36 2

18 2

9 3

3 3

4.- Find two numbers that added gives -48,

these numbers are -24 and -24

5.- Write the equation using these numbers

4x² -24x - 24x + 144 = 0

6.- Factor by grouping

4x(x - 6) - 24(x - 6)

7.- Factor by like terms

(x - 6)(4x - 24)

8.- Find the solutions

x - 6 = 0 4x - 24 = 0

x = 6 4x = 24

x = 24/4

x = 6

You might be interested in

7 Grade MAth help me and not the pezrson who helped me last time pls

saveliy_v [14]

Answer:

Step-by-step explanation:

6 0

3 years ago

Create an expression equivalent to 3 (4x -2) -5x+10 using the least number of terms. please show your work.

marusya05 [52]

Answer:

7x+4

Step-by-step explanation:

Distribute:

=(3)(4x)+(3)(−2)+−5x+10

=12x+−6+−5x+10

Combine Like Terms:

=12x+−6+−5x+10

=(12x+−5x)+(−6+10)

=7x+4

7 0

3 years ago

Tiembra bought a bag of 36 apples. She used 25% of the apples to make an apple cake and 1/3 of the apples to make an apple pie.

sattari [20]

36×0.25=9 and 9÷3=6. So 6 apples are left after making these desserts.

3 0

3 years ago

Which expressions are equivalent to 4(x+1) + 7(x+3)? Select two answers.

Natalija [7]

Answer:

9(x+3) + 2(x+3) or 10(x+2) +(x+5)

Step-by-step explanation:

First you want to distribute the equation.

4(x+1) + 7(x+3) multiplied out is

4x + 4 + 7x + 21

Now we add like terms so it comes out to

11x + 25

Two expressions that can come out to equal 11x + 25 is. 9(x+3) + 2(x+3) or 10(x+2) +(x+5)

7 0

3 years ago

. Lightning Strikes It has been said that the probability of being struck by lightning is about 1 in 750,000, but under what cir

mrs_skeptik [129]

Complete Question

The complete question is shown on the first uploaded image

Answer:

$P(U |D ) = 0.198$

$P(O\ n \ B) = 0.188$

$P(O | B) = 0.498$

Step-by-step explanation:

The total number of deaths is mathematically represented as

$T = 16 + 23 + \cdots + 16$

$T =623$

The total number of deaths in 1996 - 2000 is mathematically represented as

$T_a = 16 + 23+ \cdots + 30$

$T_a = 235$

The total number of deaths in 2001 - 2005 is mathematically represented as

$T_b = 17 + 16 + \cdots + 23$

$T_b = 206$

The total number of deaths in 2006 - 2010 is mathematically represented as

$T_c = 15 + 17 + \cdots + 16$

$T_d = 182$

Generally the the probability that it would occur under the tree given that the death was after 2000 is mathematically represented as

$P(U |D ) = \frac{P(A \ n\ U )}{P(A)}$

Here $P(A \ n\ U )$ represents the probability that it was after 2000 and it was under the tree and this is mathematically represented as

$P(A \ n\ U ) = \frac{Z}{ T}$

Here Z is the total number of death under the tree after 2000 and it is mathematically represented as

$Z = 35 + 42$

=> $Z = 77$

=> $P(A \ n\ U ) = \frac{77}{ 623}$

Also

$P(A)$ is the probability of the death occurring after 2000 and this is mathematically represented as

$P(A) = \frac{T_b + T_c}{ T}$

=> $P(A) = \frac{ 206+ 182}{623}$

$P(U |D ) = \frac{\frac{77}{ 623} }{ \frac{ 206+ 182}{623}}$

=> $P(U |D ) = 0.198$

Generally the probability that the death was from camping or being outside and was before 2001 is mathematically represented as

$P(O | B) = \frac{T_z}{ T}$

Here $T_z$ is the total number of death outside / camping before 2001 and the value is 117

$P(O \ n \ B) = \frac{117}{623}$

=> $P(O\ n \ B) = 0.188$

Generally the probability that the death was from camping or being outside given that it was before 2001 is mathematically represented as

$P(O | B) = \frac{ P( O \ n \ B)}{ P(B)}$

Here $P(B)$ is the probability that it was before 2001 , this is mathematically represented as

$P(B ) = \frac{T_a}{T}$

=> $P(B ) = \frac{235}{623}$

$P(O | B) = \frac{ \frac{117}{623}}{ \frac{235}{623}}$

=> $P(O | B) = 0.498$

5 0

3 years ago