An equation is shown 6x - 3 = 3x + 12 What is the solution to the equation ?
X=?

Answer:x=50

Step-by-step explanation:

Answer:

h = 6

Step-by-step explanation:

Substitute the given to its corresponding places.

30 = \(\frac{1(10)h}{2}\)

30 = 10h/2

Multiply both sides by two to remove the denominator.

2 [30 = 10h/2] 2

60 = 10h

Divide both sides by 10 to isolate h.

h = 6

To check, substitute everything to the original equation:

A = \(\frac{1(10)(6)}{2}\)

A = 30 !

Answer:

1. Shift down

2. Shift Up

3. More Steep

4. Less Steep

Step-by-step explanation:

Hope I helped

9/40  more flour does he need to add.

A fraction represents a part of a whole.

Given that Jacques needs 5/8 kg of flour to make a loaf of bread, he tips 2/5 Kg of white flour onto a weighing scale.

We need to find amount of flour he still need to make a loaf of bread.

2/5 + x =5/8

Subtract 2/5 from both sides

x = 5/8 -2/5

LCM of 8 and 5 is 40.

=25-16/40

=9/40

Hence, 9/40 more flour does he need to add.

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Answer:

40

Step-by-step explanation:

Looking at the other examples, its shows the the second number is always 4 times bigger/ahead then/of the first number.

The length of the play area is 31 feet and the width is 62 feet.

A rectangle is a 2-dimensional quadrilateral with four right angles. It has two diagonals which bisect each other . The diagonals are equal in length

Perimeter of a rectangle = 2 x (length + width)

Width = 2l

Length = l

186 = 2(2l + l )

Divide both sides by 2

93 = 2l + l

93 = 3l

Divide both sides of the equation by 3

l = 31 feet

W = 31 x 2 = 62 feet

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Answer:

Step-by-step explanation:

The integral of the given expression is equal to (n/588)ln|18 - 49y| + (7n/588)ln|147(18 - 49y)| + (n/784)(18 - 49y) + C, where ln denotes the natural logarithm and C is the constant of integration.

First, let's consider the constant term (n/4). The integral of a constant term with respect to y is obtained by multiplying the constant by y and adding the constant of integration C. Therefore, the integral of n/4 is (n/4)y + C.

Next, we'll focus on the rational function (14y - 49y^2) / (147(18 - 49y)). To integrate this, we consult the Table of Integrals and identify a similar form:

∫(1/(a - bx)) dx = (1/b)ln|a - bx| + C,

where a, b, and C are constants. By comparing this form with the rational function in our integral, we can see that a = 18, b = -49, and the constant term is 147. Applying the formula, we have:

∫(14y - 49y^2) / (147(18 - 49y)) dy = (1/(-49))(14/147)ln|18 - 49y| + C1,

which simplifies to -(1/7)ln|18 - 49y| + C1, where C1 is another constant of integration.

Now, combining the results for both terms, we get:

∫(n/4 + 14y - 49y^2) / (147(18 - 49y)) dy = (n/4)y - (1/7)ln|18 - 49y| + C1.

To simplify further, we can rewrite C1 as C2 = C1 + (n/4), yielding:

∫(n/4 + 14y - 49y^2) / (147(18 - 49y)) dy = (n/4)y - (1/7)ln|18 - 49y| + C2.

Finally, we can simplify the expression by combining the constants:

∫(n/4 + 14y - 49y^2) / (147(18 - 49y)) dy = (n/4)y - (1/7)ln|18 - 49y| + (7n/28) + C.

Thus, the integral is equal to (n/588)ln|18 - 49y| + (7n/588)ln|147(18 - 49y)| + (n/784)(18 - 49y) + C, where ln denotes the natural logarithm and C is the constant of integration.

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\(m=7, (-5,1)\)

In standard form it is \(y=7x+36\) and in point-slope form it is \(y-43=7(x-1)\).

Answer:

The answer is C

Step-by-step explanation:

You have to do the Pythagorean Theorem.

A. you get 25=25

B. you get 169=169

C. you get 232=289

D. you get 625=625

Answer:

Me, it is called Picsart

I used to have it but the question got deleted

Answer:

35 graduates from university A had income below $20,000

Step-by-step explanation:

Directly from the data shown (see attached image) we see that 35 graduates from university A have income below $20,000

The answer is B and pls mark me brainiest

The equation of the hyperbola is:

(x - 3)² / 9 - (y - 2)² / 16 = 1.

To find the equation of the hyperbola with the given foci and vertices, we need to determine the center, semi-major axis (a), and semi-minor axis (b) of the hyperbola.

The center of the hyperbola is the midpoint between the two vertices:

Center = ((3 + 3) / 2, (5 + (-1)) / 2) = (3, 2).

The distance between the center and one of the vertices gives us the semi-major axis (a):

a = distance between center and vertex = 5 - 2 = 3.

The distance between the center and one of the foci gives us the distance c (the distance from the center to the focus):

c = distance between center and focus = 7 - 2 = 5.

Now, we can find the value of b (the semi-minor axis) using the relationship between a, b, and c in a hyperbola:

c² = a² + b²

5² = 3² + b²

25 = 9 + b²

b² = 25 - 9

b² = 16

b = 4.

Now that we have the center (h, k) = (3, 2), the semi-major axis (a) = 3, and the semi-minor axis (b) = 4, we can write the equation of the hyperbola in standard form:

For a hyperbola (center at (h, k)), the equation is:

(x - h)² / a² - (y - k)² / b² = 1.

Plugging in the values:

(x - 3)² / 3² - (y - 2)² / 4² = 1.

The equation of the hyperbola is:

(x - 3)² / 9 - (y - 2)² / 16 = 1.

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Answer:

Step-by-step explanation:

From the information provided, you know that the profit would be equal to the price per car for the number of cars washed minus the amount you spent on supplies, which would be:

P=6x-15, where:

P is the profit

x is the amount of cars washed

Also, you know that the profit is 93, so you can replace P in the formula and solve for x:

93=6x-15

93+15=6x

108=6x

x=18

According to this, the answer is that you and your friends washed 18 cars.

The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

Convert the standard equation into a vertex form, then we have

x² + (b/a)x + (c/a) = 0

x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0

(x + b/2a)² - b²/4a² + c/a = 0

Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be

(x - h)² + k = 0

The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.

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Answer:

0

Step-by-step explanation:

Answer:

(x - 2) or (x + 5)

Step-by-step explanation:

Step 1: Write quadratic

x² + 3x - 10

Step 2: Factor

(x - 2)(x + 5)

Answer:  x2 + 3x – 10= (x+5)⋅(x−2)= -6

so x=-6

Step-by-step explanation:  "x2"   was replaced by   "x^2".

Factoring  x2+3x-10  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +3x  its coefficient is  3 .

The last term, "the constant", is  -10  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -10 = -10  

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   3 .

     -10    +    1    =    -9  

     -5    +    2    =    -3  

     -2    +    5    =    3

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  5  

                    x2 - 2x + 5x - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                   5 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (x+5)  •  (x-2)

            Which is the desired factorization

so (x + 5) • (x - 2)= x=-6

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1mm is equal to 1000 μm

5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

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(a) (A, B) = 0, (b) ||A|| = √2, (c) ||B|| = √2, (d) d(A, B) = -1. These values are calculated using the given inner product formula and the matrices A and B.

Let's calculate the required values step by step

To find (A, B), we need to substitute the elements of matrices A and B into the given inner product formula:

(A, B) = 2(a₁₁)(b₁₁) + (a₁₂)(b₁₂) + (a₂₁)(b₂₁) + 2(a₂₂)(b₂₂)

Substituting the values from matrices A and B:

(A, B) = 2(1)(0) + (0)(1) + (0)(1) + 2(1)(0)

= 0 + 0 + 0 + 0

= 0

Therefore, (A, B) = 0.

To find ||A|| (norm of A), we need to calculate the square root of the sum of squares of the elements of A:

||A|| = √((a₁₁)² + (a₁₂)² + (a₂₁)² + (a₂₂)²)

Substituting the values from matrix A:

||A|| = √((1)² + (0)² + (0)² + (1)²)

= √(1 + 0 + 0 + 1)

= √2

Therefore, ||A|| = √2.

To find ||B|| (norm of B), we can follow the same steps as in part (b):

||B|| = √((b₁₁)² + (b₁₂)² + (b₂₁)² + (b₂₂)²)

Substituting the values from matrix B:

||B|| = √((0)² + (1)² + (1)² + (0)²)

= √(0 + 1 + 1 + 0)

= √2

Therefore, ||B|| = √2.

To find d(A, B), we need to calculate the determinant of the product of matrices A and B:

d(A, B) = |AB|

Multiplying matrices A and B:

AB = [10 + 01 11 + 00;

00 + 11 01 + 10]

= \(\left[\begin{array}{cc}0&1&\\1&0\\\end{array}\right]\)

Taking the determinant of AB:

|AB| = (0)(0) - (1)(1)

= -1

Therefore, d(A, B) = -1.

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--The given question is incomplete, the complete question is given below " Use the inner product (A,B) = 2a₁₁b₁₁ + a₁₂b₁₂ + a₂₁b₂₁ + 2a₂₂b₂₂ to find (a) (A, B), (b) ll A ll, (c) ll B ll, and (d) d (A, B) for matrices in M₂,₂

A = [1 0; 0 1]

B = [0 1; 1 0]

Thank you, Please show work"--

Answer: Plain:  the product is 24 ∠ 15° in polar form. This means that the magnitude of the product is 24 and the angle between the positive real axis and the line connecting the origin and the product is 15°, measured counterclockwise.

Step-by-step explanation: To multiply complex numbers in polar form, we multiply their magnitudes and add their angles. We can start by converting the given complex numbers from rectangular form to polar form:

6√5 - 6i = 6(√5 - i) = 12 ∠ -30°

(√3 + √3i) = √3(1 + i) = 2 ∠ 45°

where we have used the fact that ∠θ is the angle between the positive real axis and the line connecting the origin and the complex number a + bi, measured counterclockwise.

Now, we can multiply the two complex numbers in polar form:

(6√5 - 6i)(√3 + √3i) = 12 ∠ -30° * 2 ∠ 45°

= 24 ∠ 15°

Therefore, the product is 24 ∠ 15° in polar form. This means that the magnitude of the product is 24 and the angle between the positive real axis and the line connecting the origin and the product is 15°, measured counterclockwise.

To determine the quadrant of the complex plane in which the product lies, we note that the angle 15° is in the first quadrant (between 0° and 90°). Therefore, the product lies in the first quadrant of the complex plane.

The nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000.

Using a base year,the formula to calculate the Real GDP is given below:

Real GDP = Nominal GDP ÷ Deflator (in decimal)

Where, Deflator = (Price of base year goods and services ÷ Price of current year goods and services) × 100

Nominal GDP for the year 2017= 1,650 × 10 + 2,820 × 25= 16,500 + 70,500= 87,000

Nominal GDP for the year 2019= 1,900 × 12 + 3,250 × 27= 22,800 + 87,750= 110,550 Using the above formula,

Deflator for the year 2017 can be calculated as:

Deflator for 2017= (P2017 / P2017) × 100= (1 × 10 + 2 × 25) / (1 × 10 + 2 × 25) × 100= 100

Similarly, Deflator for the year 2019 can be calculated as:

Deflator for 2019= (P2019 / P2017) × 100= (1.10 × 12 + 2.75 × 27) / (1 × 10 + 2 × 25) × 100= 120.25

Now, Real GDP for the year 2017= 87,000 / 100= $87,000 Real GDP for the year 2019= 110,550 / 120.25= $917.54 million.

Thus, the nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000. The nominal GDP for the year 2019 is $110,550, and the real GDP for the year 2019 is $917.54 million.

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To check your work when dividing with fractions, convert the division to multiplication by using inverse operations. Multiply the dividend by the reciprocal of the divisor to find the product. Simplify and compare the quotient. If correct, the product and quotient will match.

When dividing with fractions, you can use your knowledge of whole number division to check your work. Here's how you can do it:

Identify the dividend, which is the number being divided, and the divisor, which is the number you are dividing by.

Convert the fractions into improper fractions if needed, by finding the product of the whole number and the denominator, and then adding the numerator.

Use inverse operations to change the division into multiplication. Instead of dividing by a fraction, multiply by its reciprocal (the divisor becomes the reciprocal or inverse of the fraction). This is similar to how in whole number division, you multiply by the reciprocal of the divisor.

Multiply the dividend by the reciprocal of the divisor (or the inverse fraction). This will give you the product.

Simplify the product if necessary and express it as a fraction in its simplest form.

Compare the quotient you obtained with your original division. They should be equal. If they are not, you may have made an error in your division calculation.

By using these steps and your understanding of whole number division, you can check your work when dividing with fractions. It allows you to verify that the quotient obtained through fraction division matches the result you would obtain using whole number division principles.

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    Quadratic applications include: Horizontal Motion Issues For a moving object, one uses the formula h = -16t2 + vt+s. The following is represented by the variables: h is a symbol for the object's height when it is moving.

   h = v 0 y 2 2 g This equation, which only depends on the vertical component of the initial velocity, specifies the maximum height of a projectile above its launch site.

   If v is the starting speed, g is the gravitational acceleration, and H is the highest point that may be reached in meters, then is the initial speed's angle from the horizontal plane (radians or degrees). The equation H = v 0 2 s I n 2 2 g yields the projectile's greatest height

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

8x-12=6x+2

8x-6x=2+12

x=7

Multiply 4 with 2x - 3

Take 6x to LHS and make it negative. And take -12 to RHS and make it positive. This process is called transposition.

Now subtract 6x from 8x, we get 2x. And on the RHS, it will be 14.

Now divide both sides with 2.

2 and 2 gets cancelled out in LHS.

Answer:

x = 7

Hope you could understand.

If you have any query, feel free to ask.

Answer:

\(y = \frac{Pa}{b} - za\)

Step-by-step explanation:

See picture below :)

Answer:

2x + 10

= 2(24) + 10

= 48 + 10

= 58

It will take 58 minutes to make and pack an order for 24 parts.

Step-by-step explanation:

hehehehe is it right??

Answer: (d) 270

Step-by-step explanation:

10 out of 18 people have a motorcycle(which simplifies to 5/9 people) therefore

486 x 5/9 = 270 people have a motorcycle.

Answer:

270

Step-by-step explanation:

All you have to do is divide 486 by 18 and thats when you get 27 and then multiple 10 by 27.

Answer: Alternative optimal

Step-by-step explanation:

Alternative optimal solution means that

there are several optimal solutions that can be used to get identical objective function value.

Therefore, a scenario whereby the optimal objective function contour line coincides with one of the binding constraint lines on the boundary of the feasible region will lead to alternative optimal solution.

Answer:

3

Step-by-step explanation: