Solve using substitution. The solution is 4x-2y=-20 y=-3x

Answer:

1,1,1,1

Step-by-step explanation:

I believe this is right

Answer:

the answer is c because it is lol try it

Answer:

C. b = 0 and b = 4

Step-by-step explanation:

I can confirm that the answer is C.

The surface area of pentagonal prism B, the image is equal to 16 in².

In Mathematics and Geometry, a scale factor can be calculated or determined through the division of the dimension of the image (new figure) by the dimension of the original figure (pre-image).

In Mathematics and Geometry, the scale factor of the dimensions of a geometric figure can be calculated by using the following formula:

(Scale factor of dimensions)² = Scale factor of area

Therefore, the surface area of pentagonal prism B, the image can be calculated as follows;

surface area of pentagonal prism B = (1 - 1/5)² × 25

surface area of pentagonal prism B = 16 in².

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The width of the path surrounding the garden is 1 meter.

To find the width of the path surrounding the garden, we need to factor the given area expression,\(4x^2 + 40x - 44,\) and identify the value of x.
Factor out the greatest common divisor (GCD) of the terms in the expression:
GCD of\(4x^2,\) 40x, and -44 is 4.

So, factor out 4:
\(4(x^2 + 10x - 11)\)
Factor the quadratic expression inside the parenthesis:
We need to find two numbers that multiply to -11 and add up to 10.

These numbers are 11 and -1.
So, we can factor the expression as:
4(x + 11)(x - 1)
Since we are looking for the width of the path (x), and it's not possible to have a negative width, we can disregard the negative value and use the positive value:
x - 1 = 0
x = 1.

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Answer:

E

Step-by-step explanation:

Here, we want to find the area of the shaded portion on the graph.

That would be P(-1.2<z<0.85)

we complete this by checking these values on the standard score table as follows;

P( z< 0.85) - P(z<-1.2) = 0.68727

Answer:

7 and 7/8

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer: complementary

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees

The sum of the measure of angles 1 and 2 is the right angle which is 90 degrees. Then the correct option is C.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

Angles 1 and 2 form a right angle.

2 lines form a right angle.

Another line extends between the 2 lines to form 2 angles.

The top angle is labeled 1, and the bottom angle is labeled 2.

Then the sum of the measure of the angle 1 and 2 is the right angle which is 90 degrees. Then the angles are known as complementary angles.

Then the correct option is C.

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Answer: y= x + 4

Step-by-step explanation:

Answer:

22 grams i think

Step-by-step explanation:

The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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Answer:

D. 5√3

Step-by-step explanation:

tan 30° = x/15

or, 1/√3=x/15

or, x= 15/√3 = 5√3

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exacy value

tan30° = \(\frac{1}{\sqrt{3} }\) = \(\frac{\sqrt{3} }{3}\) , then

tan30° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{15}\) = \(\frac{\sqrt{3} }{3}\) ( cross- multiply )

3x = 15\(\sqrt{3}\) ( divide both sides by 3 )

x = 5\(\sqrt{3}\) → D

The local maximum and minimum values of the function are as follows: maximum at (smaller x value), minimum at (larger x value), and there are no saddle points.

To find the local maximum and minimum values of the function, we need to analyze its critical points, which occur where the partial derivatives are equal to zero or do not exist.

Let's denote the function as f(x, y) = -8 - 2x + 4y - x^2 - 4y^2. Taking the partial derivatives with respect to x and y, we have:

∂f/∂x = -2 - 2x

∂f/∂y = 4 - 8y

To find critical points, we set both partial derivatives to zero and solve the resulting system of equations. From ∂f/∂x = -2 - 2x = 0, we obtain x = -1. From ∂f/∂y = 4 - 8y = 0, we find y = 1/2.

Substituting these values back into the function, we get f(-1, 1/2) = -9/2. Thus, we have a local minimum at (x, y) = (-1, 1/2).

There are no other critical points, which means there are no local maximums or saddle points. Therefore, the function has a local minimum at (x, y) = (-1, 1/2) but does not have any local maximums or saddle points.

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The conclusion of the hypotheses is that: We will reject the Null hypothesis and conclude that the median number of part-time employees has increased

Let the significance level be: α = 0.5

Since we want to find out whether the median number of part-time employees has increased, then:

Number of restaurants that have more than 18 part-time employees = 7 (+ve )

Number of restaurants that have less than 18 part-time employees = 1 (-ve)

Number of restaurants with exactly 18 part-time employees = 1

Let us first define the hypotheses:

Null hypothesis : H₀ : median ≤ 18

Alternate hypothesis : Hₐ : median ≥ 18

Sample size: = 7 + 1 = 8

The actual hypothesis that should be tested is:

H₀ : p = 0.5

Hₐ : p ≠ 0.5

Applying the binomial distribution to get the number of +ve signs:

nP = 8(0.5)

= 4 +ve signs ( Thus, it is a right tailed test which is the upper tail of the binomial distribution )

P ( ≥ 7 )+ve signs  = p(7) +ve signs  + p(8) +ve signs

P ( ≥ 7 )+ve signs = 0.0313 + 0.0039 = 0.0352

P-value = 0.0352 < 0.05  

Thus, we will reject the Null hypothesis and conclude that the median number of part-time employees has increased

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Complete question is:

The median number of part-time employees at fast-food restaurants in a particular city was known to be 18 last year. City officials think the use of part-time employees may be increasing. A sample of nine fast-food restaurants showed that seven restaurants were employing more than 18 part-time employees, one restaurant was employing exactly 18 part-time employees, and one restaurant was employing fewer than 18 part-time employees. Can it be concluded that the median number of part-time employees has increased

Answer:

a

Step-by-step explanation:

Answer:

a2

Step-by-step explanation:

Answer:

3x=15

Step-by-step explanation:

Here's what I found on google about the distributive property-

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Now for the math-

3(x+5)

distribute the numbers-  3(x)+3(5)

solve-  3*5=15

3x+15

Answer:

DONT GO TO THAT SITE

Step-by-step explanation:

He has been doing this all over brainly and need to get reported

Answer:

Don’t click in links!

Step-by-step explanation:

Dont

The ratio of \(\frac{CB}{AC}\) is 3.

The ratio of \(\frac{CB}{AC}\) is the length of line segment CB divided by line segment AC. Each length is found by Pythagorean theorem:

\(AC = \sqrt{[2.5-(-2)]^{2}+(6-0)^{2}}\)

\(AC = 7.5\)

\(CB = \sqrt{(4-2.5)^{2}+(8-6)^{2}}\)

\(CB = 2.5\)

Finally, the ratio of \(\frac{CB}{AC}\) is:

\(\frac{CB}{AC} = \frac{2.5}{7.5}\)

\(\frac{CB}{AC} = 3\)

The ratio of \(\frac{CB}{AC}\) is 3.

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Answer:

 point (-2,11)  does not lie on the given line

Step-by-step explanation:

To find : Which of the following points does not lie on the line ?

Solution :

To determine the point lie on line or not we have to put points in equation if it satisfy then it lie otherwise not.

a) Point (1,8)

Line  y=3x+5

Substitute x=1 and y=8

8=3(1)+5

8=8

(1,8) point lie on the line.

b) Point (4,12)

Line y=3x+5

Substitute x=4 and y=17,

17=3(4)+5

17=12+5

17=17

(4,17) point does not lie on the line.

c) point (-2,11)

Line y=3x+5

substitute x=-2 and y=11

11=3(-2)+5

11=-6+5

11 is not equal to -1

d) Point(0.5)

Line y=3x+5

Substitute x=0 and y=5

5=3(0)+5

5=5

Answer:

2x(2x - 3)

Step-by-step explanation:

Given:

(3x^2+2y^2-3x)+(2x^2+y^2-2x)-(x^2+3y^2+x)

Written as:

(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)

= 3x² + 2y² - 3x + 2x² + y² - 2x - x² - 3y² - x

Collect like terms

= 3x² + 2x² - x² + 2y² + y²- 3y² - 3x - 2x - x

= 4x² + 0 - 6x

= 4x² - 6x

= 2x(2x - 3)

Kirk would have paid $13,900 more for damages than what he had invested in his insurance policy if he did not have automobile insurance.

The amount that Kirk would have paid for damages than what he had invested in his insurance policy if he did not have automobile insurance can be determine as follows. Hence,

1. Calculate the total amount Kirk paid in insurance premiums over 8 years:

$1,075 * 8 = $8,600

2. Determine the total value of the car that was totaled:

$22,500

3. Subtract the total amount Kirk paid in insurance premiums from the value of the totaled car:

$22,500 - $8,600 = $13,900

Kirk would have paid $13,900 more for damages.

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Answer:

q = 36/7  or 5 1/7

Step-by-step explanation:

q · 7/9 = 4

Multiply each side by 9/7

q · 7/9 *9/7 = 4*9/7

q = 36/7

If we want it as a mixed number instead of an improper fraction

7 goes into 36 5 times with 1 left over

q = 5 1/7

Answer:

Yes, because each x-value corresponds to one y value.

Step-by-step explanation:

If you look at the table, you notice that there is one output (y) for every input (x). This means that it is a function. It would NOT be a function if you had two outputs for an input. For example, there are two x values that are 6. For one coordinate pair, the table says (6,9) and (6,8). Since there are two values for the same input- it wouldn't be a function. In this case, there is an input of 4 and 5 with the same output. That is okay! Even though they have the same y value, those inputs still only have ONE output.

Therefore , the solution of the given problem of triangle comes out to be  b) True. The triangle's symmetry line is represented by the dashed line.

A triangular is a polygon because it has two or even more additional parts. It has a straightforward rectangle shape. A parallelogram with only sides A, B, as well as C is a triangle. When the sides are not exactly collinear, Euclidean geometry produces a single plane as compared to a cube. If a shape has three edges and three angles, it is said to be triangular. The intersection of a quadrilateral's three edges is known as an angle. The sum of a triangle's edges is 180 degrees.

Here,

a) Incorrect. Triangle ABC is not scalene because its two longest sides (AB and AC) are equivalent in length.

b) True. The triangle's symmetry line is represented by the dashed line.

c) Untrue. Triangle ABC is not right-angled because none of its edges are right angles.

d) Untrue. Although sides AB and AC of the triangle ABC are identical in length, side BC has a different length, making the triangle ABC not isosceles.

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If λ = 5 is a factor of the characteristic polynomial of matrix A, then 5 is an eigenvalue of A.

Given that λ = 5 is a factor of the characteristic polynomial of matrix A, we need to determine whether 5 is an eigenvalue of A or not. Definition of Characteristic Polynomial:

A matrix A is a linear transformation whose characteristic polynomial is given by;

p(x) = \text{det}(xI - A)

Definition of Eigenvalue:

Let A be a square matrix of order n and let λ be a scalar.

Then, λ is called an eigenvalue of A if there exists a non-zero vector x, such that

A \bold{x} = \lambda \bold{x}

For some non-zero vectors x is known as the eigenvector.

Now, let's prove if 5 is an eigenvalue of A, or not.

According to the question, λ = 5 is a factor of the characteristic polynomial of A.Therefore, p(5) = 0.

\Rightarrow \text{det}(5I - A) = 0

Consider the eigenvector x corresponding to the eigenvalue λ = 5;

\Rightarrow (A-5I)x = 0$$$$\Rightarrow A\bold{x} - 5\bold{x} = 0

\Rightarrow A\bold{x} = 5\bold{x}

Since A satisfies the equation for eigenvalue and eigenvector, 5 is an eigenvalue of matrix A.

Therefore, if λ = 5 is a factor of the characteristic polynomial of matrix A, then 5 is an eigenvalue of A.

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Answer:

2/3

Step-by-step explanation:

a) To find the number of customers who have both checking and money market savings accounts, we need to use the principle of inclusion and exclusion.

Let A be the set of customers with checking accounts, B be the set of customers with money market savings accounts, and C be the set of customers with both checking and money market savings accounts. Then we have:

|A ∪ B| = |A| + |B| - |A ∩ B|

We know that |A| = 168, |B| = 120, and |A ∩ B| = ? (what we need to find)

We can also use the fact that the total number of customers is 250, so:

|A ∪ B| = 250 - |A' ∩ B'|

where A' and B' are the complements of A and B, respectively. Since no customer is allowed to have both regular savings and money market savings accounts, we know that:

|B ∩ C| = 0

So we can use the principle of inclusion and exclusion again to find:

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |B ∩ C| - |C ∩ A| + |A ∩ B ∩ C|

We know that |A ∪ B ∪ C| = 250 and |A|, |B|, and |C| are given. We also know that |B ∩ C| = 0 and we can use the fact that:

|A' ∩ B' ∩ C'| = |(A ∪ B)' ∩ (B ∪ C)' ∩ (C ∪ A)'|

= |(A' ∩ B') ∪ (B' ∩ C') ∪ (C' ∩ A')|

= |A' ∩ B'| + |B' ∩ C'| + |C' ∩ A'| - |A' ∩ B' ∩ C'|

We know that |A' ∩ B'| = |(A ∪ B)'| = 250 - |A ∪ B| and |C' ∩ A'| = |(C ∪ A)'| = 250 - |C ∪ A|. Since we already know |A ∪ B| and |C ∪ A| from the previous calculations, we can find |A' ∩ B' ∩ C'|. Then we can use the principle of inclusion and exclusion to find |A ∩ B|:

|A ∩ B| = |A| + |B| + |C| - |A ∪ B ∪ C| + |A' ∩ B' ∩ C'|

Substituting the given values, we get:

|A ∩ B| = 168 + 120 + 0 - 250 + (250 - 168 - 75 - 120 + |A ∩ B|)

Solving for |A ∩ B|, we get:

|A ∩ B| = 26

Therefore, there are 26 customers who have both checking and money market savings accounts.

b) To find the number of customers who have a checking account but no savings account, we can use the same principle of inclusion and exclusion. Let D be the set of customers with no savings account. Then we have:

|A ∩ D| = |A| - |A ∩ B ∪ A ∩ C|

We know that |A| = 168 and we just found |A ∩ B| = 26. To find |A ∩ C

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Answer:

C. 9 is subtracted from the product of 5 and a number.

Step-by-step explanation:

Brainiest, Please

To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.

To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:

\(A^-1Ax = A^-1b\)

Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:

\(x = A^-1b\)

However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.

So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.

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In order to find the value of the expression, first let's calculate the operations inside the parenthesis:

Then, calculating the exponential expression and after that the product, we have:

So the final value is 112.