solve for x if 2(5x + 2)^2 = 48

Answer:

x=5

Step-by-step explanation:

I first subtracted 88 from 180 because we know that 180 is the total degree of the three angles in a trangle. I got 92, then divided that by 2 since there are two angles that are unknown. I got 46, which I can then use to form the equation (9x+1)=46. I subtracted 1 from both sides to get rid of the 1 (since we're finding what x equals to), I then got 9x=45. After that, I divided 9 from both sides and got the answer x=5.

Hope this helped you : )

Answer:

It will be 84

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Answer:

it is 33 because you start off at 0 with 33

Step-by-step explanation:

Answer: 3ft squared

Step-by-step explanation: to find the area you have to multiply the height by the width. So 2 times 1.5 is equal to 3.

Answer:

Step-by-step explanation:

|A|= 5, 2, -3, -5

|Ax|= 14, 2, 3, -5,

|Ay|= 5, 14, -3, 3

The determinants are, [tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex], [tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex] and [tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

The given linear system is, 5x + 2y = 14 and - 3x - 5y = 3.

In terms of determinants, it can be written as,

[tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex].

[tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex].

[tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].

[tex]x = \frac{D_x}{D}[/tex] and [tex]y = \frac{D_y}{D}[/tex].

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Step-by-step explanation:

(x_42)(x+42)...

....

yeah baby girl it will be best for you to look that up on Google

Answer:

2 - n

Step-by-step explanation:

I hope this helps!

Step-by-step explanation:

[tex]12=8+4=2^3+2^2=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold0\cdot2^0\\\\12_{10}=1100_2[/tex]

Answer: 500 chicken feed and 200 careful calculators

Step-by-step explanation:

2x+3y=1,600

40x+50y=30,000

those are your first two equations

your first matrix equation for A is 2, 3,40,50 and B is 1,600 and 30,000 when you enter those in your calculator and 500 and 200 should be your result.

a) The system of equations are 2x + 3y = 1600 and 40x + 50y = 30000

b) The matrix equations are solved

c) The solution to the system of equations is

The number of chicken feed = 500

The number of careful calculators = 200

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

Let the number of chicken feed be represented as x

Let the number of careful calculators be y

Now , the equation will be

Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume

And , Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume

Substituting the values in the matrices , we get

[tex]\left[\begin{array}{ccc}2 &3 \\ 40 &50 \\\end{array}\right] * \left[\begin{array}{ccc}x\\y\\\end{array}\right]= \left[\begin{array}{ccc}1600\\30000\\\end{array}\right][/tex]

On simplifying the matrix equation , we get

2x + 3y = 1600   be equation (1)

40x + 50y = 30000   be equation (2)

Now , multiply equation (1) by 20 , we get

40x + 60y = 32000   be equation (3)

Subtracting equation (2) from equation (3) , we get

10y = 2000

Divide by 10 on both sides of the equation , we get

y = 200 careful calculators

Substituting the value of y in equation (1) , we get

2x + 3 ( 200 ) = 1600

2x + 600 = 1600

Subtracting 600 on both sides of the equation , we get

2x = 1000

Divide by 2 on both sides of the equation , we get

x = 500 chicken feeds

Therefore , the value of x and y are 500 and 200 respectively

Hence , the system of matrix equations are solved

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Answer:

A. 1. mph

C. 3. hpm

Step-by-step explanation:

Answer:

255

Step-by-step explanation:

10n^2+5

where n=5

10×5²+5

10×25+5

250+5

255

The 5th term of Sequence is 255.

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).

Given:

10n² +5

Now for 5th term put n= 5 we get

10n² +5

= 10(5)² +5

= 10 x 25 + 5

= 250+ 5

= 255

hence, the 5th term is 255.

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Answer:

9x=2

Step-by-step explanation:

4 - 6(3 - 2x) = 3(x -4)

4 - 18 + 12x = 3x - 12

12x - 14 = 3x - 12

12x - 3x = 14 - 12

9x = 2

hope you are happy with the answer ;)

6x + 18y = 18. Let us take x = 0

6(0) + 18y = 18

0 + 18y = 18

18y = 18

y = 18/18

y = 1

(0, 1) [x = 0, y = 1]

6x + 18y = 18. Let us take y = 0

6x + 18(0) = 18

6x + 0 = 18

6x = 18

x = 18/6

x = 3

(3, 0) [x = 3, y =0]

Infinite solutions can be found for x and y

Step-by-step explanation:

The formula for calculating the area of a square is expressed as;

A = x² where;

x is the length of one side of the square

Given

x = 10in

A = 10²

A = 10 * 10

A = 100in²

Area of the square with side length 10in is 100in²

From the equation A = x², we can see that as the value of x increases, the value of the area also increases and vice versa. This means that the area of the square is directky proportional to its length. Hence we can say YES, the area of a square and the length of its side directly proportional

Answer:

100 sq in

Step-by-step explanation:

No, not proportional

Answer:

constant

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x+7=15

= 3x= 8

=X=2.6(6 is reoccurring)

Answer:

34650 dollars by next year

Step-by-step explanation:

Answer:

Step-by-step explanation31500x.10. 3150. 31500+3150. 34650. 34650/12 2887.50. 31500/12. : 2625. Difference per month 262.50

8 months

Step-by-step explanation:

Answer:

║ x - 231 ║ ≤ 459

Step-by-step explanation:

Since we have 228 ft below sea level, this is x' = -228 ft. Also,  we have 690 ft above sea level, this is x" = 690 ft.

Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.

To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.

So, ideal value = [690 + (-228)]/2 = 462/2 = 231.

We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 =  [690 + 228)]/2 = 918/2 = 459.

Subtracting 231 from each value of the inequality we have

-228 - 231 ≤ x - 231 ≤ 690 - 231

-459 ≤ x - 231 ≤ 459

Since we have in magnitude the values on the left and right side of the inequality,

So ║ x - 231 ║ ≤ 459

Answer: If it has a negative sign then drag it to one that doesn't have one and vice-versa

Step-by-step explanation:

so 0.005 would be -0.005

Answer:

the opposite of 0.005 is -0.005

the opposite of 1/2 is -1/2

the opposite of 0 is 0

the opposite of -2 is 2

Step-by-step explanation:

9514 1404 393

Answer:

A

54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

Step-by-step explanation:

The answer explains itself.

The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are complementary (not supplementary).

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

Answer:

All you need to remember is the rules

Step-by-step explanation:

Let us remember

a to the m power x a to the nth power is = a to the m+n power. (add the exponents)

And

a to the m power ÷ a to the nth power is = a to the m-n power. (subtract the exponents) So

14 to the -4 power x 14 to the 7 power= 14 to the -4+7 which is equal to 14 to the 3rd power

Answer:

8

Step-by-step explanation:

7-(-1)

My teacher said if it looks like this: -(- make it a plus!

so basically 7+1=8

Answer:cube root 381.7

Then half it too find the radius.

Step-by-step explanation:

Answer:

Try to do it with mth way

Answer:

135 miles

Step-by-step explanation:

45 mph means if you steadily go 45 mph for an hour you will have traveled 45 miles. Therefore you multiply your speed by time (45*3) which gives you 135 miles.

Answer:

5.49 x 10^14

Step-by-step explanation:

The calculator is showing the scientific notation but instead of EE, it changes to x 10 ^

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{ab-a}{a}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {{\bcancel {a }}(b-1)}{{\bcancel {a}}}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf b-1)}}}[/tex]

Answer:

The answer is D.

Step-by-step explanation: