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3 years ago

Solve for x in the equation x2 + 4x-4-8-

Mathematics

1 answer:

liubo4ka [24]3 years ago

8 0

Answer:

Step-by-step explanation:

x2+4x-4-8

x2+4x-12

x2+6x-2x-12

x(x+6)-2(x+6)

(x-2)(x+6)

Either

x-2=0 OR x+6=0

x=2 OR x=-6

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URGENT WILL GIVE YOU 100 POINTS PLEASE ANSWER CORRECTLY

wariber [46]

Answer:

1. x = 18.4

2. x = -1.25

3. x = $\frac{5}{12}$

4. x = 12.3

5. x = 6.4

6. z = 5.8

7. x = $\frac{1}{12}$

8. x = - $\frac{1}{4}$

9. x = $\frac{1}{3}$

10. x = -9

11. z = 18

12. x = 7

13. x = -9

14. x = -36

15. x = -7

16. x = 8

17. z = -1.5

18. x = - $\frac{45}{7}$

19. x = 16

20. x = -12

21. x = $\frac{8}{3}$

22. x = -1.6

23. x = 1.8

24. x = -8.2

Step-by-step explanation:

1. x - 3.5 = 14.9 (add 3.5 to each side)

x = 18.4

2. x + 2.25 = 1 (subtract 2.25 from each side)

x = -1.25

3. - $\frac{1}{3}$ = x - $\frac{3}{4}$ (add $\frac{3}{4}$ to each side)

$\frac{3}{4}$ - $\frac{1}{3}$ = x (multiply $\frac{3}{4}$ by $\frac{3}{3}$ and $\frac{1}{3}$ by $\frac{4}{4}$ to get a common denominator)

$\frac{9}{12}$ - $\frac{4}{12}$ = x

$\frac{5}{12}$ = x

4. x - 2.8 = 9.5 (add 2.8 to each side)

x = 12.3

5. x - 8.5 = -2.1 (add 8.5 to each side)

x = 6.4

6. z - 9.4 = -3.6 (add 9.4 to each side)

z = 5.8

7. x + $\frac{5}{6}$ = $\frac{11}{12}$ (subtract $\frac{5}{6}$ from each side)

x = $\frac{11}{12}$ - $\frac{5}{6}$ (multiply $\frac{5}{6}$ by $\frac{2}{2}$ to get a common denominator)

x = $\frac{11}{12}$ - $\frac{10}{12}$

x = $\frac{1}{12}$

8. - $\frac{5}{6}$ + x = - $\frac{13}{12}$ (add $\frac{5}{6}$ to each side)

x = $\frac{5}{6}$ - $\frac{13}{12}$ (multiply $\frac{5}{6}$ by $\frac{2}{2}$ to get a common denominator)

x = $\frac{10}{12}$ - $\frac{13}{12}$

x = - $\frac{3}{12}$ = - $\frac{1}{4}$

9. x - $\frac{1}{9}$ = $\frac{5}{18}$ (add $\frac{1}{9}$ to each side)

x = $\frac{1}{9}$ + $\frac{5}{18}$ (multiply $\frac{1}{9}$ by $\frac{2}{2}$ to get a common denominator)

x = $\frac{2}{18}$ + $\frac{5}{18}$

x = $\frac{6}{18}$ = $\frac{3}{9}$ = $\frac{1}{3}$

10. x + 6 = -3 (subtract 6 from each side)

x = -9

11. z - 7 = 11 (add 7 to each side)

z = 18

12. -1 = x - 8 (add 8 to each side)

7 = x

13. -4x = 36 (divide each side by -4)

x = -9

14. - $\frac{x}{3}$ = 12 (multiply each side by -3)

x = -36

15. 63 = -9x (divide each side by -9)

-7 = x

16. 6.4 = 0.8x (divide each side by 0.8)

8 = x

17. -2.8z = 4.2 (divide each side by -2.8)

z = -1.5

18. - $\frac{7}{9}$ x = 5 (divide each side by - $\frac{7}{9}$ )

x = $\frac{5}{1}$ ÷ - $\frac{7}{9}$

x = $\frac{5}{1}$ (times) - $\frac{9}{7}$

x = - $\frac{45}{7}$

19. $\frac{1}{2}$ x = 8 (divide each side by $\frac{1}{2}$ )

x = 16

20. - $\frac{3}{4}$ x = 9 (divide each side by - $\frac{3}{4}$ )

x = -12

21. - $\frac{7}{8}$ x = - $\frac{21}{64}$ (divide each side by - $\frac{7}{8}$ )

x = - $\frac{7}{8}$ ÷ - $\frac{21}{64}$

x = - $\frac{7}{8}$ (times) - $\frac{64}{21}$

x = $\frac{448}{168}$ = $\frac{56}{21}$ = $\frac{8}{3}$

22. 1.6x = -3.2 (divide each side by 1.6)

x = -1.6

23. - $\frac{1}{2}$ = - $\frac{5}{18}$ x (divide each side by - $\frac{5}{18}$ )

1.8 = x

24. -2.5x = 20.5 (divide each side by -2.5)

x = -8.2

3 0

3 years ago

Read 2 more answers

find the slope and y-intercept of the line that is perpendicular to y= -2/3x+5 and passes through the line -6,4

nexus9112 [7]

$y = mx+b\\\\[m is the slope, b is the y-intercept]\\\\y=\frac{2}{3}x+5\\$

That means 2/3 is the slope and 5 is the y-intercept.

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

6 0

3 years ago

Which of the following is a solution of x² + 14x + 112 = 0? If necessary, round to the nearest hundredth.

Readme [11.4K]

To determine the solution of the quadratic equation, use the quadratic formula which states that,
x = ((-b +/- sqrt (b² - 4ac)) / 2a
From the equation, a = 1, b = 14, and c = 112. Substituting these to the quadratic formula,
x = ((-14 +/- sqrt (14² - 4(1)(12)) / 2(1) = indeterminate
Thus, the equation does not a real number solution.

6 0

3 years ago

Read 2 more answers

Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In p

Bingel [31]

Answer:

Null hypothesis:H₀:- There is no significant difference between in drug resistance between the two states

Alternative Hypothesis :H₁:

There is significant difference between in drug resistance between the two states

B)

The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance

Rejected H₀

There is a significant difference in drug resistance between the two states.

P - value = 0.0066

P - value = 0.0066 < 0.02

D)

1) Reject H₀

There is a significant difference in drug resistance between the two states.

Step-by-step explanation:

Step(i):-

Given first sample size n₁ = 174

Suppose that, of 174 cases tested in a certain state, 11 were found to be drug-resistant.

First sample proportion

$p_{1} = \frac{x_{1} }{n_{1} } = \frac{11}{174} = 0.0632$

Given second sample size n₂ = 375

Given data Suppose also that, of 375 cases tested in another state, 7 were found to be drug-resistant

Second sample proportion

$p_{2} = \frac{x_{2} }{n_{2} } = \frac{7}{375} = 0.0186$

Step(ii):-

Null hypothesis:H₀:- There is no significant difference between in drug resistance between the two states

Alternative Hypothesis :H₁:

There is significant difference between in drug resistance between the two states

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

Where

$P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }$

$P = \frac{174 (0.0632) + 375 (0.0186) }{174+375 } = \frac{17.9718}{549} = 0.0327$

Q = 1 - P = 1 - 0.0327 = 0.9673

Step(iii):-

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

$Z = \frac{0.0632-0.0186 }{\sqrt{0.0327 X 0.9673(\frac{1}{174 }+\frac{1}{375 } ) } }$

Z = 2.7261

Level of significance = 0.02 or 0.98

The z-value = 2.054

The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance

Reject H₀

There is a significant difference in drug resistance between the two states.

P- value

P( Z > 2.7261) = 1 - P( Z < 2.726)

= 1 - ( 0.5 + A (2.72))

= 0.5 - 0.4967

= 0.0033

we will use two tailed test

2 P( Z > 2.7261) = 2 × 0.0033

= 0.0066

P - value = 0.0066 < 0.02

Reject H₀

There is a significant difference in drug resistance between the two states.

8 0

3 years ago

NEED HELP ASAP!

Olegator [25]

Answer:

Option (C)

Step-by-step explanation:

Two statements given in the question are,

p: Memorial Day is in July

q: Parallel lines never intersect

We have to tell the represent the symbolic notation of the compound statement,

"Memorial Day is in July or parallel lines intersect"

Here word 'Or' is combining these statements.

We know word 'Or' means Disjunction which is denoted by the symbol (∨).

So the compound statement will be denoted by p ∨ q.

Option (C) will be the answer.

5 0

3 years ago