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a.

The value x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0

Since the equation is 3x² + 5x - 12 = 0, if x = 4/3, is a solution, substituting x = 4/3 into the equation will make the equation will make the left hand side equal zero.

So, 3x² + 5x - 12 = 0

Substituting x = 4/3, we have

3(4/3)² + 5(4/3) - 12

= 3(16/9) + 20/3 - 12

= 16/3 + (20 - 12 × 3)/3

= 16/3 + (20 - 36)/3

= 16/3 - 16/3

= 0

So, x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0

b.

The value x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0

Since the equation is x² - 2x - 5 = 0, if x = 1 + √6, is a solution, substituting x = 1 + √6 into the equation will make the equation will make the left hand side equal zero.

So, x² - 2x - 5 = 0

Substituting x = 4/3, we have

x² - 2x - 5 = (1 + √6)² - 2(1 + √6) - 5

= (1² + 2√6 + (√6)²) - 2 - 2√6) - 5

= 1 + 2√6 + 6 - 2 - 2√6) - 5

= 2√6 + 6 + 1 - 2√6) - 5 - 5

= 2√6 + 7 - 2√6) - 7

=  2√6 - 2√6 + 7 - 7

= 0 + 0

= 0

So, x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0

c.

The value x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0

Since the equation is x² - 2x + 5 = 0, if x = 1 + 2i, is a solution, substituting x = 1 + 2i into the equation will make the equation will make the left hand side equal zero.

So, x² - 2x + 5 = 0

Substituting x = 1 + 2i, we have

x² - 2x + 5 = (1 + 2i)² - 2(1 + 2i) + 5

= (1² + 2(2i) + (2i)²) - 2 - 4i + 5

= 1 + 4i - 4 - 2 - 4i + 5

=  4i + 1 - 4 - 2 - 4i + 5  

= 4i - 5 - 4i + 5  

= 4i - 4i + 5 - 5

= 0 + 0

= 0

So, x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0

Learn more about quadratic equations here:

https://brainly.com/question/11982012

Answer:

slope: 4/12

Simplified to: 1/3

Negative slope so: -1/3

Y intercept:4

Form: Y=mx+b

Y=-1/3x+4

Answer:

Step-by-step explanation:

o What proportion of normal distribution corresponds to z-scores < z = 1.00? o What is the probability of selecting a z-score less than z = 1.00? (A). (B). (C).

Given that:

Cos θ = Sin 2θ

⇛ Cos θ = 2 Sin θ Cos θ

⇛ Cos θ / Cos θ = 2 Sin θ

⇛ 1 = 2 Sin θ

⇛ 1/2 = Sin θ

⇛ Sin θ = 1/2

⇛ Sin θ = Sin 30°

⇛ θ = 30°

Therefore, θ = 30°

Answer :-The value of θ for the given problem is 30°

Check:-

LHS = Cos θ

⇛ Cos 30°

⇛ √3/2

RHS = Sin 2θ

⇛ Sin (2×30°)

⇛ Sin 60°

⇛ √3/2

LHS = RHS is true for θ = 30°

»If you have any doubt, then you can ask me in the comments.

Answer:

b is ur answer

Step-by-step explanation

hope this helps :)

Sandra's total deductions are $16,808.71, and her net pay is $46,145.29.

Given that Sandra earns $ 62,954 per month, to determine the percentage of deductions the following calculations must be performed:

Therefore, Sandra's total deductions are $16,808.71, and her net pay is $46,145.29.

Learn more about quantities in https://brainly.com/question/25716934

Answer:

Merry xmas bro

Step-by-step explanation:

fav nintendo game is the first mario

Answer:

Well u could be -7 or anything higher than that.

Answer:

Step-by-step explanation:

27x3=81

Answer:

It's 3 hope it's help....

Answer:

z> 5/4

To graph, use the open dotted line and put it at point 5/4 aka 1.25 going towards the right because it is greater than.

Step-by-step explanation:

Isolate your variable (z) by multiplying both sides of the equation by 5/3.

z> 5/4

Answer:

1/2 yd 5/3 yds The first one

Step-by-step explanation:

Answer:

42 times

Step-by-step explanation:

lets say the number of times they flew on saturday was x, so we have 34 + 2x = 118. subtract 34 from both sides to get 84. so 2x=84. divide by 2 to get x=42

Answer:

B)  42

Step-by-step explanation:

friday - 34 times

saturday - 'x' times

sunday - 'x' times

34 + x + x = 118

34 + 2x = 118

2x = 84

x = 42

Answer:

The relationship will be a solid line.

Step-by-step explanation:

The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card.

The relationship will be a solid line as it is a linear and common slope. Each time you buy lunch, the amount in the card will decrease by $4.

Let the number of lunches you buy be = x

Let the amount remaining in the card be = y

So, equation forms:

When you buy 1 lunch, or x = 1

When x = 2

When x = 3

We can see that the decrease is gradual and same.

You can also see the graph attached that a straight line is formed.

[tex]\begin{cases} \stackrel{apples}{10^3}\\ \stackrel{grapes}{10^2}\\ \stackrel{oranges}{10^1} \end{cases}\qquad \begin{cases} \stackrel{lbs}{32}\\ \stackrel{lbs}{25}\\ \stackrel{lbs}{42} \end{cases}\qquad \begin{array}{rllll} 10^3\cdot 32\\ 10^2\cdot 25\\ +\qquad 10\cdot 42\\\cline{1-1} 34920&lbs \end{array}[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

If the function showed linear growth, it would be a straight line. Since it curves upward, it will be either "exponential" or "other." The growth factor seems more or less constant, so we can claim the curve to be exponential.

When x=1, y=1; when x=2, y=3. The increase in x by 1 unit causes the value to grow by a factor of 3/1 = 3. When x=3, y=9, which is growth by another factor of 3. The growth factor is 3.

Answer:

Am working on that too this is for everyone! here you go

Step-by-step explanation:

Edge 2021!

Answer:

$their down payment is $280 the percentage of the purchase is $2.8

Answer: Area = 96 cm squared

Explanation;

base x height = area

Base = 12

Height = 8

12 x 8 = 96

[tex]\red{\rule{45pt}{999999pt}}[/tex]

Answer:

23/25 when reduced to the simplest form.

Step-by-step explanation:

write down the number as a fraction of one

0.92 = 0.92/1

so we multiply both numerator and denominator by 100

Then 0.92/1 = ( 0.92x100) / ( 1x100)

= 92/100

Now reduce the numerator and denominator by GCD between in this case

GCD ( 92,100) = 4

so, 92/ 4

100/ 4

=23/25

Answer:

$139 463.95

Step-by-step explanation:

100% - 4.6% = 95.4%

95.4% ÷ 100 = 0.954

0.954 --> decimal multiplier

$185 000 × 0.954^6 = $139 463.95

Hope this helps! <3

2 × 10 = 20

see Picture.

Answer:

(0 ; -3)

Step-by-step explanation:

The y-intercept is where the line touches the y axis meaning that x is 0.

Answer:

-3 by the looks of it.

Step-by-step explanation:

The line intercepts at the y-intercept (the vertical and or straight up and down line) at -3.

Answer:

sinx=−1⇔x=−π2+k.2π,k∈Z ( mà ông người VN đúng không =)))

Step-by-step explanation:

Explanation:

We plug in x = -2 and solve for y

x+4y = 14

-2+4y = 14

4y = 14+2

4y = 16

y = 16/4

y = 4

Therefore, the point (-2, 4) is on the line x+4y = 14.

Answer:

Yes there is a proportional relationship

Step-by-step explanation:

If we look at earth and the sun, the diameter of the sun is 108 times that of the diameter of earth, and the average distance between the earth and sun is 108 times the suns diameter.

Answer:

i actually have the same question  

Step-by-step explanation:

Answer:

the bearing is 290°

Step-by-step explanation:

firstly complete those compass directions (just to make it easier for you). find the remaining angle on A which is 110°. subtract 90° from it and get 20°. using the concept of alternating angles. then add from the North to where the line connecting B n A is, 270°+20°=290°

Answer:

c

Step-by-step explanation:

I think that is the answer

Answer:

c

Step-by-step explanation:

it is equal to.

Check the picture below.

Answer: -30

Step-by-step explanation: