if 2a+3b=12 and a-3b=0, then what is the value of a?

Option C is correct, the missing denominator of the solution is 3.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given  quadratic equation is  3x² + 4x - 2 = 0.

We have to use the quadratic formula to find root

x = -b±√b²-4ac/2a

From the equation a = 3, b= 4 and c=-2

Plug in these in formula

x = -4 ±√ 4²-4(3)(-2)/2(3)

x = -4 ±√16+24/6

x = -4 ±√40/6

x = -4 ± 2√10/6

x = -2 ± √10/3

Hence, the missing denominator of the solution is 3.

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Answer:

6

Step-by-step explanation:

9.5/3.8 = 2.5

15/2.5 = 6

The combine ratios will be a1:a2:a3 = 1:2:3  as the a1 is equal to a2 and the 2:4 shows the mixing 2 red with 4 blue paint.

It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign : between the numbers.

We have:

Purple 1 is made by mixing red(a1) and blue(a2) in a ratio of 1 : 2.

Purple 2 is made by mixing red(a3) and blue(a4) in a ratio of 1 : 3.

Here the options are not given, but we can combine the above ratios like:

a1:a2:a3 = 1:2:3  (a1 = a3)

If we multiply with any number (let's say 2) in the ratio 1 : 2 and 1 : 3

We get:

2:4  (mixing 2 red with 4 blue paint) and

2:6  (mixing 2 red with 6 blue paint)

Thus, the combine ratios will be a1:a2:a3 = 1:2:3  as the a1 is equal to a2 and the 2:4 shows the mixing 2 red with 4 blue paint.

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Answer:0.53 x 10^ -8

Step-by-step explanation:

Just move the decimal over to the right and add 1 to the exponent.

Answer:

8 pints

Step-by-step explanation:

A pint is 16 ounces = 2 cups

8 pints is then 16 cups

Answer:

f(4) = 59

Step-by-step explanation:

Given:

f(1) = 3

f(n) = f(n-1)2 + 5

Idea:

We want to find the value of f(4), so let's substitute n with 4.

f(n) = f(n-1)2 + 5

f(4) = f(4-1)2 + 5

f(4) = f(3)2 + 5

We see that we have to evaluate f(3) before we can calculate f(4).

So let's try to calculate f(3).

f(3) = f(3-1)2 + 5

f(3) = f(2)2 + 5

Again we have to calculate f(2) before we can calculate f(3). So what do we do?

Calculations:

The best approach is to start from the bottom. First let calculate the value of f(2) and then f(3) and finally f(4).

f(1) = 3 (this was given)

f(2) = f(2-1)2 + 5

    = f(1)2 + 5 (this time we know the value of f(1)!)

    = 3 × 2 + 5

    = 6 + 5
    = 11

f(3) = f(3-1)2 + 5

    = f(2)2 + 5 (we calculated f(2) in the previous step: f(2) = 11)

    = 11 × 2 + 5

    = 22 + 5
    = 27

f(4) = f(4-1)2 + 5

    = f(3)2 + 5

    = 27 × 2 + 5

    = 51 + 5
    = 59

Answer:B

count 2 and ~1/4 back and you get b

Answer:

720

Step-by-step explanation:

For the first wedge, you have 6 numbers to choose from .

For the second wedge , you have 5 numbers to choose from . 

For the 3rd wedge , you have 4 numbers to choose from . 

For the 4th wedge , you have 3 numbers to choose from . 

For the 5th wedge , you have 2 numbers to choose from . 

For the 6th wedge , you have 1 number to choose from . 

Conclusion: this numbering can be done in:

6×5×4×3×2×1 = 720

Note :

Generally ,we write 6×5×4×3×2×1 as 6! and we read it 6 factorial.

Answer:

The power in repeated multiplication form is (-2)*(-2)*(-2)

The value of the power is  -8

=====================================================

Reason:

Exponents represent repeated multiplication. The small number up top is the exponent that tells us how many copies of the base to multiply

In this case, the exponent 3 tells us we have 3 copies of "-2" multiplied together to get (-2)*(-2)*(-2)

This simplifies to -8

The expression (-0.3)⁴ is an exponential expression and the value of the expression is 0.0081

The expression is given as:

(-0.3)⁴

Expand the expression

(-0.3)⁴ = (-0.3) * (-0.3) * (-0.3) * (-0.3)

Evaluate the product

(-0.3)⁴ = 0.0081

Hence, the value of the expression is 0.0081

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Answer:

4√13 or 14.422

Step-by-step explanation:

we can use the pythag theorem to figure out the length of a. Since a is the hypotenuse it would be 12 squared + 8 squared = a squared

144+64=208

the square root of 208 is 4√13 or 14.422

Answer:

C) 312 cm^2

Step-by-step explanation:

To find the total area of the composite figure, you must sum the individual components of the figure.

First, we find the area of the rectange, which is A = l x w = 16 x 12 = 192

Second, we find the area of the first triangle which is also equal to the area of the second triangle, so instead of finding the base times height and dividing by 2, we will simply find the area of base times height and it will work for both trianges.

A = b x h x 1/2 x 2 = 10 x 12 = 120

120 + 192 = 312 cm^2

Answer:

the LCM is 6x^2(x-1)^2(x+2)

Answer:

False.

Explanation:

Right triangle cannot have two sides equal which would make them isosceles triangle, having two sides and two angles equal. They cannot be a right angle triangle then. Hence disapprove with Nathan's viewpoint.

Let x = 32.323232…

Then 100x = 3232.323232…

It follows that

100x - x = 3232.323232… - 32.323232…

99x = 3200

x = 3200/99

The value of the whisker on the left is 143.

The value of the first line on the box is 159.

The value of the line in the middle of the box is 165

The value of the third line in the box is 167.

The value of the whisker on the left is 176.

A box plot is used to study the distribution and level of a set of scores. The box plot has two whiskers. The whisker on the left represents the minimum value and the  whisker on the right represents the maximum value.

The first line on the box to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

Maximum value = range + minimum value

143 + 33 = 176

Upper quartile = lower quartile + interquartile range

159 + 8 = 167

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Answer:

Part A: total pizza cost = 2.50s + 2.25t + 18

Part B: 30 dollars

Step-by-step explanation:

I hope this helped! If it did, please click "Thanks"!

Answer:

Part A: 18 + 2.25t + 2.50s

Part B: $30

Step-by-step explanation:

Let t= each additional topping

Let s=each side

First we add the cost of one pizza ($18)

Then we add each additional topping (t) multiplied by its cost (2.25 dollars)

Finally we add each side (s) multplied (2.50 dollars)

Part B:

Plug in 2 for t and 3 for s into the expression from earlier and simplify:

Expression: 18 + 2.25(2) + 2.50(3)

=18+ 4.50 + 7.50

=30

And there you have it- the total cost is $30.

Hope this helps and good luck in your studies :)

Answer: the answer would be 8.94

Step-by-step explanation:

I hope this helps! :)

Im  sorry if it turns out to be wrong!

Have a good rest of your day!

Answer:

t=+4.06

Step-by-step explanation:

when the baseball hits the ground, the height will be 0.

h=0we are given that h=−16t2+64t+4.

this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.

since time cannot be negative, only the positive value can be taken.

this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.

If the cost of the party supplies was $316. Then the amount of money spent by each of them is $158.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Keri and Samantha are equally splitting the cost of party supplies for their mom's surprise birthday party.

The total cost of the party supplies was $316.

Then the money spent by each of them will be

[tex]\rightarrow \dfrac{316}{2}\\\\\rightarrow 158[/tex]

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Answer: I think you somehow managed to try to make an answer and then accidentally clicked "add a question" and then just so happened to not realize, so you made your answer as a question...

Step-by-step explanation:

Kidding, but I'm not sure what this is supposed to be answering... There is not much context given lol.

Answer:

A = Z

B = X

C = Y

AB = ZX

AC = ZY

BC = XY

CAB = YZX

Step-by-step explanation:

Flip the second triangle so the longest line is on the bottom

after you do that it looks exactly like the other one

Answer:

r = 3.95

Explanation:

A = [tex]\pi {r}^{2} [/tex]

3.14r² = 15.6 (3.14)

Divide by 3.14

r² = 15.6

r = [tex] \sqrt{15.6} [/tex]

r ≈ 3.95

Answer: (3,3)

Step-by-step explanation:

The equation most closely models the line of best fit for the scatter plot is y = 2.5x

A line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b

Using the coordinate points on the line (3, 5000) and (9, 20000)

Get the slope

Slope = 20000-5000/9-3
Slope = 15000/6 = 2500

Determine the y-intercept

5000 = 2500(3) + b

b = 5000 - 7500
b = -2500

Determine the equation

y = 2.5x - 2.5

Hence the equation most closely models the line of best fit for the scatter plot is y = 2.5x

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The given information is,

→ a = -8

→ b = -7

→ c = 6

Let's verify the problem,

→ (a+b) + c = a+ (b+c)

→ (-8 - 7) + 6 = -8 + (-7 + 6)

→ -15 + 6 = -8 - 1

→ -9 = -9

→ [ LHS = RHS ]

Hence, it is equal and verified.

Answer:

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Answer:

9042.85 pounds

Step-by-step explanation:

12000×0.91^3

12000×0.753571

9042.85 pounds