Determine the number of solutions for this system of equations by inspection only. Explain.
7x+4y=
16 42x+24y
=110

Based on the given inequality; x < 9 or x ≥ 14, the possible values of x are $8 and $14

x < 9 or x ≥ 14

From the options

All values less than 9 are

$8

All values greater than or equal to 14 are

$14

Therefore, based on the options given, the possible values of x are $8 and $14

Complete question:

The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Check all that apply. $8 $9 $11 $13 $14 $15

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Answer:

The first one

Step-by-step explanation:

Credit report does NOT state whether borrower will pay loan on time ...though it may give an INDICATION of this

We can predict that about 1831 people out of the total of 3600 people would prefer chips or brownies as their favorite snack.

We have,

The total number of people surveyed is 34 + 21 + 50 + 60 = 165.

The number of people who prefer chips or brownies is 34 + 50 = 84.

To predict the number of people whose favorite snacks are chips or brownies out of the total number of 3600 people, we can set up a proportion:

84/165 = x/3600

Cross-multiplying.

165x = 84 (3600)

Simplifying≥

x = 84 x 3600 / 165

x ≈ 1831

Therefore,

We can predict that about 1831 people out of the total of 3600 people would prefer chips or brownies as their favorite snack.

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Answer:

16 cups

Step-by-step explanation:

1 gallon = 16 cups

Answer:

180 = 128 + 5y - 4

180 = 5y + 124

-124        -124

56 = 5y

/5    /5

11.2 = y

Answer:

140-80= 60

60/5=12

so B 12 is the answer

Answer:

C =13.68

Step-by-step explanation:

Subtract 29.00 to 15.32

Hope this helps! :)

Answer:

the slope is 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope of ║ line is ( - \(\frac{5}{4}\) )

slope of ⊥ line is \(\frac{4}{5}\)

Answer:

30/8

Step-by-step explanation:

A linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form can be solved.

A mathematical representation of a system based on the application of a linear operator is known as a "linear system" in systems theory. Ordinarily, compared to nonlinear systems, linear systems display much simpler features and properties. The automatic control theory, signal processing, and telecommunications all heavily rely on linear systems as a mathematical abstraction or idealisation.

Linear systems, for instance, are frequently used to model the propagation medium for wireless communication systems. An operator, H, that converts an input, x(t), into an output, y(t), a kind of black box description, can be used to describe a general deterministic system.

The superposition principle, or alternatively both the additivity and homogeneity properties, must be satisfied by a system to be considered linear, and only then.

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The width of the garden is 18 feet. In this case, the length of the diagonal of the rectangular garden is the hypotenuse, and the length and width of the garden are the other two sides. Let's denote the width of the garden as "w".

Given:

Length of the garden = 24 feet

Diagonal of the garden = 30 feet

Using the Pythagorean theorem, we can set up the following equation:

\(24^2\) + \(w^2\) = \(30^2\)

Simplifying:

576 + \(w^2\) = 900

Subtracting 576 from both sides:

\(w^2\) = 900 - 576

\(w^2\) = 324

Taking the square root of both sides:

w = √324

w = 18

So, the width of the garden is 18 feet.

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we have:24² + w² = 30²Solve the equation:576 + w² = 900Subtract 576 from both sides:w² = 324 Take the square root of both sides:w = √324w = 18So, the width of the rectangular garden is 18 feet.

Using the Pythagorean theorem, we can find the width of the garden. If the length is 24 feet and the diagonal is 30 feet, then the width can be found by taking the square root of (30^2 - 24^2), which is approximately 18.97 feet.

Therefore, the garden is about 18.97 feet wide. We can use the Pythagorean theorem to find the width of the rectangular garden.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the diagonal across the garden is the hypotenuse, and the length and width of the garden are the other two sides.

The diagonal is 30 feet, and the length is 24 feet. We need to find the width (w).

The Pythagorean theorem formula is:a² + b² = c²Where 'a' and 'b' are the two shorter sides, and 'c' is the hypotenuse.

In this case, we have:24² + w² = 30²Solve the equation:576 + w² = 900Subtract 576 from both sides:w² = 324Take the square root of both sides:w = √324w = 18So, the width of the rectangular garden is 18 feet.

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Answer:

The correct option is;

E) The average wait time to make payment and the number of cashiers working in a store

Step-by-step explanation:

An inversely proportional relationship is a relationship between two variables one where the increase in the magnitude one variable leads to the reduction in the magnitude of a second variable written mathematically as follows;

y ∝ 1/x

Therefore, given that as the number of cashiers at a store increases, the number of customers attended to per unit time by all the cashiers together increases, and the number of wait time observed by a customer to pay for the goods bought decreases.

Answer:

B.) The total number of stores visited and the average time spent in each store

E.) The average wait time to make a purchase and the number of cashiers working in a store

Step-by-step explanation:

It is correct I just took the test :)

The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

The sequence is given as:

0, 2, 4, 6, 8

In the above sequence, we can see that each current term is 2 added to the previous term

i.e.

Tn = 2 + Tn-1

Using the above conjecture, we have

Next term = 8 + 2

Evaluate

Next term = 10

Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

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The quadrant in which the terminal point determined by lies on the origin.

In the first scenario, sin(t) is negative, which means that the angle t is in the third or fourth quadrant. However, cos(t) is positive, which eliminates the third quadrant, leaving us with the fourth quadrant as the only possibility.

In the second scenario, sin(t) is negative again, which means that t is in the third or fourth quadrant. This time, cos(t) is zero, which means that t lies on the y-axis. Since the y-axis separates the second and third quadrants, we can conclude that the terminal point is in the third quadrant.

In the third scenario, sin(t) is zero, which means that t lies on the x-axis. Additionally, cos(t) is negative, which eliminates the first quadrant and leaves us with the second quadrant.

Finally, in the fourth scenario, sin(t) is zero again, which means that t is on the x-axis. This time, cos(t) is also zero, which means that t lies on the origin, which is not in any quadrant.

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The exponential regression equation that was obtained from the graphing calculator is y = 7.355 * (10.579)ˣ

The correct option is D.

Step 1: Exponential regression equation:

The exponential regression equation provided by the graphing calculator is given as:

where the values of a and b represent the coefficients in the equation, and x represents the independent variable.

Step 2: The information that was returned by the calculator is;

a = 7.354734813

a = 7.355 rounded to 3 decimal places

b = 10.57922764

b = 10.579 rounded to 3 decimal places

Step 3:

Substituting the values of a and b in the exponential regression equation  by the graphing calculator;

the exponential regression equation is:

y = 7.355 * 10.579ˣ rounded to 3 decimal places

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Answer:

NVIDIA GeForce RTX 3080 10GB GDDR6X PCI Express 4.0 Graphics Card

Step-by-step explanation:

Answer:

Joanna will use 1 gallon of milk in each bowl.

Step-by-step explanation:

Divide 6 into 6 bowls to get 1

1) rewrite the equation by completing the square

(X+4)^2=9

2) what are the solution to the equation

Answer A= X=-4 plus and minus 3

Wen will have the following:

From the information provided we will have that:

Answer:

2/3

Step-by-step explanation:

Two points on this line are (0, -3) and (6, 1).

Going from the first to the second, we see a change in x of 6 units and a change in y of 4 units.  The slope of the line is thus m  = rise / run  =  4/6 = 2/3

Answer:

No

Step-by-step explanation: The first one is positive and the second one is negative

The average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8. option C

Average number of viewers over the two weeks = (First week + Second week) / 2

= {(3.6 x 10⁴) + (4.1 x 10⁴)} / 2

= {3.6 + 4.1 × 10^(4×4) } / 2

= (7.7 × 10^16) / 2

= 3.85 × 10^8

Therefore, the average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8.

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Complex numbers are square root of negative numbers. The real and imaginary part of z are -45 and 11.1 respectively

Complex numbers are square root of negative numbers. They are expressed in the form z = x + iy  where:

x is the real part of complex number

y is the imaginary part

Given the complex number

z = 11.1i - 45

Compare

iy = 11.1i
y = 11.1

Hence the Im(z) =11.1

Similarly

x = -45 (real part)

Hence re(z) is -45

Hence real and imaginary part of z are -45 and 11.1 respectively

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Answer:

UMM The guy got it right lol!

Step-by-step explanation:

Step-by-step explanation:

Given that,

Perpendicular = 17 units

Hypotenuse = 25 units

We need to find the value of x.

Using Pythagoras theorem to find x.

Hypotenuse² = base²+perpendicular²

25² = x² + 17²

x = 18.3 units

So, the value of x is equal to 18.3 units. No, the sides do not form a Pythagorean triplet.

Answer:

Since angle 152 degrees incorporates to angles, where one of them is marked right angle in the picture by the square looking mark, then 152 - 90 = 62 degrees for second part of angle. Vertical angles demonstrate that x = 62, the same measure as the angle measure directly across from it.

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the slope, we need to use the formula m=(y2-y1)/(x2-x1).

Now we plug in 2 numbers from your table:

(85-61)/(6-3)

24/3

8

m=8

Now let's use point-slope formula to find our equation. A point on the line is (3,61) so we can use that. When we plug it in it looks like this:

y-61=8(x-3)

Distribute the 8:

y-61=8x-24

Add 24 to both sides:

y-37=8x

Add 37 to both sides:

y=8x+37

Now our equation is in slope-intercept form. Therefore, the y intercept is 37.

HTH :)

The solution of the given equation 2 ( -2/3x + 21 /4 ) = 27/2  by solving in the first slot using product rule is equal to -9/4.

Solving the given equation in first slot using product rule :

2 ( -2/3x + 21 /4 ) = 27/2

⇒2 × (-2/3)x + 2× (21/4 ) = 27/2

⇒ (-4/3)x + 21/2 = 27/2

Subtract 21/2 from both the side we get,

⇒(-4/3)x = 27/2 - 21/2

⇒ (-4/3)x = ( 27 - 21 ) / 2

⇒(-4/3)x = 6/2

⇒ (-4/3)x = 3

⇒ x = 3 × (-3/4)

⇒ x = -9/4

Therefore, solving the equation in the first slot as per product rule gives the solution x = -9/4.

The given question is incomplete, I answer the question in general according to my knowledge:

How do you solve the question in the first slot, to solve this problem it needs the product rule, please help me out.

2 ( -2/3x + 21 /4 ) = 27/2

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Answer: 42 inches

Step-by-step explanation:

10 * 6 = 60

7 * 6 = 42