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Usimov [2.4K]
2 years ago
6

X2 + 4x - 9 = 5x + 3 O A. 4 O B. -3 O C. -7 O D. 5 E. -2 F-4

Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
7 0

Answer:

{x}^{2}  + 4x - 9 = 5x + 3 \\  {x }^{2}  - x - 12 \\  {x}^{2}  - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ x = 4 \: and - 3

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One positive number is one-fifth of another number. The difference between the two numbers is 144, find the numbers.
liubo4ka [24]

Answer:

36, 180

Step-by-step explanation:

x = y/5, so y = 5x

y - x = 144

5x - x = 144

4x = 144

x = 144/4 = 36

y = 5x = 5*36 = 180

The two numbers are 36 and 180

7 0
2 years ago
-1/5a+21=23 whats the answer
sp2606 [1]

Answer:

A =  -10

Step-by-step explanation:

Combine multiplied terms into a single fraction find common denominator etc etc.

6 0
2 years ago
Read 2 more answers
An elementary school is offering 2 language classes: one in Spanish (S) and one in French (F). Given that P(S) = 50%, P(F) = 40%
nikklg [1K]

Answer:

(a) Probability that a randomly selected student is taking Spanish given that he or she is taking French = 0.5 .

(b) Probability that a randomly selected student is not taking French given that he or she is not taking Spanish = 0.6 .

Step-by-step explanation:

We are given that an elementary school is offering 2 language classes ;

 <em>Spanish Language is denoted by S and French language is denoted by F.</em>

Also we are given, P(S) = 0.5 {Probability of students taking Spanish language}

P(F) = 0.4 {Probability of students taking French language}

P(S\bigcup F) = 0.7 {Probability of students taking Spanish or French Language}

<em>We know that,  </em>P(A\bigcup B)<em>  = </em>P(A) + P(B) -<em> </em>P(A\bigcap B)<em />

So, P(S\bigcap F) = P(S) + P(F) - P(S\bigcup F) = 0.5 + 0.4 - 0.7 = 0.2

P(S\bigcap F) means Probability of students taking  both Spanish and French Language.

Also, P(S)' = 1 - P(S) = 1 - 0.5 = 0.5

         P(F)' = 1 - P(F) = 1 - 0.4 = 0.6

        P(S'\bigcap F') = 1 -  P(S\bigcup F) = 1 - 0.7 = 0.3

(a) Probability that a randomly selected student is taking Spanish given that he or she is taking French is given by P(S/F);

  P(S/F) = \frac{P(S\bigcap F)}{P(F)} = \frac{0.2}{0.4} = 0.5

(b) Probability that a randomly selected student is not taking French given that he or she is not taking Spanish is given by P(F'/S');

   P(F'/S') = \frac{P(S'\bigcap F')}{P(S')} = \frac{1- P(S\bigcup F)}{1-P(S)} = \frac{0.3}{0.5} = 0.6 .

Note: 2. A pair of fair dice is rolled until a sum of either 5 or 7 appears  ; This question is incomplete please provide with complete detail.

7 0
3 years ago
The ratio of the sides of a triangle is 4:6:9. If the perimeter of the triangle is 95 meters,
Grace [21]

Answer:

45 meters

Step-by-step explanation:

Perimeter of the triangle is the sum of the 3 lengths of the traingle. Since the ratio of the sides is 4:6:9, let the shortest side be 4 units, the longest side be 9 units and the 3rd side be 6 units.

Units is represented as u.

Sum of all 3 sides= 95 m

4u +6u +9u= 95

19u= 95

u= 95 ÷19

u= 5 meters

Longest side= 9 units

Length of the longest side= 9(5) = 45m

5 0
3 years ago
5
LekaFEV [45]

Answer: y-1=\dfrac32(x+3)

Step-by-step explanation:

Slope of a line passes through (a,b) and (c,d) = \dfrac{d-b}{c-a}

In graph(below) given line is passing through (-2,-4) and (2,2) .

Slope of the given line passing through (-2,-4) and (2,2) =\dfrac{-4-2}{-2-2}=\dfrac{-6}{-4}=\dfrac{3}{2}

Since parallel lines have equal slope . That means slope of the required line would be .

Equation of a line passing through (a,b) and has slope m is given by :_

(y-b)=m(x-a)

Then, Equation of a line passing through(-3, 1) and has slope =  is given by

(y-1)=\dfrac32(x-(-3))\\\\\Rightarrow\ y-1=\dfrac32(x+3)

Required equation: y-1=\dfrac32(x+3)

8 0
3 years ago
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