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marshall27 [118]
3 years ago
13

What are the solutions of the equation 4x2 + 3x = 24 – x?

Mathematics
2 answers:
goldenfox [79]3 years ago
6 0

Answer:

x=2 or x=-3

Step-by-step

hope this helps

DENIUS [597]3 years ago
3 0

Answer:

x = -3 or x = 2

Step-by-step explanation:

Re-arrange the terms into the standard quadratic equation form:

4x2 + 3x = 24 – x => 4x^2 + 4x - 24 = 0

Note that we can divide all four terms by 4, obtaining:

x^2 + x - 6 = 0 = (x + 3)(x - 2)

Then x = -3 or x = 2 are the desired solutions.

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Triangle PQR and STR are shown. Which of the following does Not justify PQR ~STR ?​
hjlf

The equation that does not justify the similarities of both triangles is:

\frac{RQ}{RT}= \frac{PQ}{ST}

<h3>Similar triangles</h3>

Similar triangles may or may not have congruent sides.

The triangles are given as:

  • Triangle PQR
  • Triangle STR

The above means that, the following sides are similar

  • Line segments PQ and ST
  • Line segments QR and TR
  • Line segments PR and SR

So, the equation that does not justify the similarities of both triangles is:

\frac{RQ}{RT}= \frac{PQ}{ST}

Read more about similar triangles at:

brainly.com/question/14285697

4 0
2 years ago
13- (8x - 5) – 16x
KatRina [158]

Answer:

The answer is 6(3-4x) because I just did on a test

3 0
3 years ago
Given this table of values, what is the value of f(-4.5) ? <br><br> help pelase !!
True [87]

Answer:

12.6

Step-by-step explanation:

f(-4.5) means "what is the y-value when x equals -4.5?"

We see that when x = -4.5, our y or f(x) value is 12.6

7 0
3 years ago
Why is the number of operators per shift multiplied by approximately 4.5 to obtain the total number of operators required to run
4vir4ik [10]

I believe you meant "why is the number of shifts multiplied by approximately 4.5 to obtain the total number of operators required to run the plant"

Answer and Explanation:

There are 3 shifts per day, 49 weeks per year and 5 shifts per operator per week

To get total number of operators required to run the plant, we multiply number of shifts in a year by number if operators per shift.

49 weeks×5 shifts= 245 shifts per operator per year

365×3 shifts= 1095 shifts per year

1095/245=4.5 operators per shift

total number of operators required to run the plant(per day) = 4.5×3= 13.5 approximately 14

total number of operators required to run the plant(per year) =4.5×1095=4927.5 approximately 4928

3 0
3 years ago
What is the length of AC¯¯¯¯¯ ?
insens350 [35]

Answer:

AC = 6

Step-by-step explanation:

y is the dimension of the horizontal segment (see the attached image).

The hypotenuses are the same dimension, so:

(x+4)^2=(x/2)^2+y^2

(3x-8)^2=(x/2)^2+y^2

So,

(x+4)^2 = (3x-8)^2

x+4 = 3x-8

x-3x = -8-4

-2x = -12

x = 6

And x is the dimension of the segment AC.

7 0
3 years ago
Read 2 more answers
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