How many solutions does 5x - 3 = 5 (x - 1) have?
O A. 1 Solution
OB. Exactly 2 Solutions
OC. No Solutions
OD. Infinitely Many Solutions

Answer:

b, c, d, f

Step-by-step explanation:

Which ordered pairs are solutions to the inequality?

 2x+3y≥−1?

a≥b means that A must be equal to or greater than B.

Let's do this the long, but easy way, by plugging it in!

(x,y)

a. (0,-1) -> -3≥-1 -> false

b. (5,-1)-> 7≥-1 -> true

c. (-2,1) -> -1≥-1 -> true

d. (0,1) -> 3≥-1 -> true

e. (-6,0) -> -12≥-1 - > false

f. (2,-1) -> 1≥-1 -> true

Let me know if it is incorrect!

- a friendly 8th grader :)

y=(x+3)^2-1

have a good day :)

Answer: F(x) = (x + 3)^2 - 1

Step-by-step explanation:

The minimum number of packages of shingles that would be needed to do the job would be = 0.285 package.

An area of an object is defined as the total area that is being covered by the shape of that object.

This given object has the total of five sides with two triangles, and three rectangles.

The top part of the object is what is needed to be roofed therefore the area of the 2 rectangles should be determined as follows.

Area of rectangle =2( l ×w)

l = 14cm

w = X cm ( this is calculated using the Pythagorean theorem)

w² = 4.1² + 4²

w² = 16.81 + 16

w² = 32.81

w = √ 32.81

w = 5.7cm

Area of rectangle = 2× (14 × 5.7)

= 2× 79.8 = 159.6 cm²= 1.596m²

If 1 package of shingles = 5.6 m²

X package = 1.596m²

make X package the subject of formula = 1.596× 1/5.6

= 0.285 package.

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The expected value is the arithmetic mean of a large number of independently selected outcomes of a random variable.

a) No, X and Y are not independent since the lifetime of a part (Y) is modeled by X.

b) The joint PDF fX,Y(x,y) = x-1exp(-xy) for 1 ≤ x ≤ 2, y ≥ 0, 0 otherwise.

c) P[Y < 1] = 1 - exp(-x) for 1 ≤ x ≤ 2.

d) The marginal PDF fY(y) = exp(-xy) for 1 ≤ x ≤ 2, y ≥ 0, 0 otherwise.

e) The expected value of Y using fY(y) is 1/x for 1 ≤ x ≤ 2.

f) The conditional expected value of Y given X = x is 1/x for 1 ≤ x ≤ 2.

g) Using E[Y] = E[E[Y∣X]], the expected value of Y is 1.

h) The expected value of X + Y is 2.

i) The expected value of XY is 1.

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Answer:

1200

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

2/11 x + 70/11

Step-by-step explanation:

Given the coordinate (-2, 6), (9,8), the equation in standard form is of the form y = mx+b

m is the slope = 8-6/9-(-2)

m = 2/11

Get the y-intercept

Substitute m = 2/11 and (-2, 6) into the expression y = mx+b

6 = 2/11(-2)+b

6 = -4/11 + b

b = 6 + 4/11

b = (66+4)/11

b = 70/11

Get the required equation

y = 2/11 x + 70/11

Hence the required equation is 2/11 x + 70/11

Answer: she made 77 dollars

Step-by-step explanation:

121 divided by 22 is 5.5

5.5 will be her pay rate per hour

5.5 times 14 is 77

Answer:

77 dollars

Step-by-step explanation:

We can use ratios to solve

121 dollars      x dollars

--------------- = --------------------

22 hours         14 hours

Using cross products

121 * 14 = 22x

Divide each side by 22

121 * 14/22 = x

77 =x

Answer:

It's C

X = -3

Step-by-step explanation:

Edge 2022

The equation represents the directrix is x=-3.

the correct option is (C).

A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola, and the line is called the directrix . The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.

given: y²=12x

y²=4*3*x

Here a=3

So, x+a=0

x+3=0

x=-3.

Hence, the directrix of parabola is: x=-3

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Answer:

1) true

2) false

hope it worked

and pls mark me as BRAINLIEST

Carla's behavior of putting in extra practices to become faster can be seen as an example of (Option A.) compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

Carla's behavior of putting in extra practices to become faster can be seen as an example of compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

By engaging in extra practices, Carla is attempting to compensate for her lack of speed and improve her performance. This is different from rationalization, which is the act of making excuses for one's behavior, or from regression, which is the act of reverting to a younger age in response to a stressful situation.

Finally, displacement is the act of redirecting one's emotions or anger onto another person or object.

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Answer:

\(\huge\boxed{\sf x = -100}\)

Step-by-step explanation:

\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)

Answer:

You would move 10 units to the right from zero on the x-axis

Answer:

10 spaces to the right to get to 10 and up 8 to get to 8

Answer: 6.36

Step-by-step explanation:

A graph of this quadrilateral with the given vertices is shown in the image below.

The area of this quadrilateral is equal to 114 square unit.

Based on the graph of this quadrilateral with the given vertices, we can logically deduce that it represents a parallelogram. In Mathematics and Geometry, the area of a parallelogram can be calculated by using the following formula:

Area of a parallelogram, A = base area × height

Furthermore, the area of a parallelogram can be defined as the absolute magnitude of the cross product of its adjacent edges;

Area = |AB × AD|

Next, we would determine the adjacent edges AB and AD as follows;

AB = B - A

AB = (1, 11) - (-8, 5)

AB = (1 + 8), (11 - 5)

AB = (9, 6)

AD = D - A

AB = (2, -1) - (-8, 5)

AB = (2 + 8), (-1 - 5)

AB = (10, -6)

For the cross product of AB and AD, we have;

\(|AB \times AD| = \left[\begin{array}{ccc}i&j&k\\9&6&0\\10&-6&0\end{array}\right]\)

|AB × AD| = [6(0) - 0(-6)]i - [9(0) - 10(0)]j + [9(-6) - 10(6)]k

|AB × AD| = 0i - 0i - 114k

|AB × AD| = √(0² - 0² - 114²)

Area = 114 square unit.

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Answer:

yes

Step-by-step explanation:

Put 6 into x and then slove

Answer:

The answer is 19.25

Step-by-step explanation:

I' not sure what you are asking but two good estimates based on this are 19 and 20

Answer:

19 and 20

Step-by-step explanation:

228 is close to 231 and can be divided by 12.
240 is also close to 231 and can be divided by 12.
Therefore, the two estimates for 231 is 19 and 20.

I hope this helped and please mark me as brainliest!

If the price paid for a certain item is $40 and the consumer surplus is $4, then the maximum buying price for that item is $44 .

The Consumer's Surplus is defined as the difference between the maximum price a consumer is willing to pay for an item and the actual price paid for the item.

If the price paid for the item is $40 and the consumer's surplus is $4, then the maximum buying price for that item can be calculated as :

⇒ Maximum buying price = Price paid + Consumer's surplus

Substituting the values of Price paid and consumer surplus ,

we get ;

⇒ $40 + $4

⇒ $44

Therefore , the maximum buying price for that item is $44 .

The given question is incomplete , the complete question is

If the price paid for a certain item is $40 and the consumer surplus is $4, then what is the maximum buying price for that item ?

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Answer:

20

Step-by-step explanation:

Answer:

Rounded to the nearest tenth it's 4.2

Step-by-step explanation:

Answer:

FJ is -3/1

Step-by-step explanation:

And in order to be a trapezoid, just one pair of sides needs to be parallel.

Answer:

EF is 16.  

Step-by-step explanation:

So we know that Point E is somewhere on Line DF. In other words, DE plus EF must equal DF. In an equation, this is:

\(DF=DE+EF\)

We are given that DE is 2x, EF is 2x-6, and DF is 3x+5. So, substitute:

\((3x+5)=(2x)+(2x-6)\)

Now, solve for x.

On the right, combine like terms:

\(3x+5=4x-6\)

Subtract 4x from both sides:

\(-x+5=-6\)

Subtract 5 from both sides:

\(-x=-11\)

Divide both sides by -1:

\(x=11\)

Now that we know x is 11, substitute this back into the equation for EF to find EF.

\(EF=2x-6\)

Substitute 11 for x:

\(EF=2(11)-6\)

Multiply:

\(EF=22-6\)

Subtract:

\(EF=16\)

And we're done!

This sample would be considered A. Cluster sample. In a cluster sample, the researcher divides the population into groups or clusters, and then randomly selects some of these clusters to include in the sample.

In this case, the researcher is selecting nine counties as the clusters, and surveying all shoulder surgery patients within those counties. This is different from a stratified sample, in which the population is divided into subgroups or strata based on certain characteristics, and a representative sample is selected from each stratum. It is also different from a convenience sample, in which the researcher simply selects the individuals who are easiest to reach or who happen to be available at the time of the study. And it is different from a simple random sample, in which every member of the population has an equal chance of being selected for the sample.

The missing part in the question is shown below.

A medical researcher surveys all shoulder surgery patients

in each of 9 randomly selected counties in North Carolina.

Which type of sample does this represent?

A. Cluster sample.

B. Stratified sample.

C. Convenience sample.

D. Simple random sample.

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Explanation

Step 1

apply distributive property

Step 2

add similar terms and order

so, the answer is

I hope this helps you

Work Shown:

A = pi*r^2

A = 3.14 * 10^2

A = 3.14 * 100

A = 314 square inches

This value is approximate since pi = 3.14 is approximate.

The area of the circle is :

Work:

To calculate the circle's area, I will use the formula

\(\sf{C=\pi r^2}\)

Diagram:

\(\setlength{\unitlength}{1.1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 10\ inches}\end{picture}\)

Plug in the values :

      \(\begin{gathered}\sf{A=3.14\times10^2}\\\\\sf{A=3.14\times100}\\\\\boxed{\boxed{\bf{A=314\:in^2}}}\end{gathered}\)

Answer:

Step-by-step explanation:

Step one:

given data

the cost of the laptop= $800

initial payment= $200

monthly payment = $60

let the number of months be x

the expression for the situation is the function for the equation of line

y=mx+c

Step two:

the expression for the situation is

800=200+60x

solve for x

800-200=60x

400=60x

divide both sides by 60

x=400/60

x=6.7

Approximately 7 months

By proving all three implications, we have shown that (a), (b), and (c) are equivalent.

To prove the equivalence of the statements (a), (b), and (c), we need to show three implications:

1. (a) implies (b): C ⊆ A ∪ B implies (C \ A) ⊆ B.
2. (b) implies (c): (C \ A) ⊆ B implies (C \ B) ⊆ A.
3. (c) implies (a): (C \ B) ⊆ A implies C ⊆ A ∪ B.

Let's prove each of these implications one by one.

1. (a) implies (b):
Assume C ⊆ A ∪ B. We need to show that (C \ A) ⊆ B.

Let x be an arbitrary element in (C \ A). This means x is in C but not in A. Since C ⊆ A ∪ B, x must be in A or in B. However, x cannot be in A since we know x is not in A. Therefore, x must be in B. Thus, (C \ A) ⊆ B.

2. (b) implies (c):
Assume (C \ A) ⊆ B. We need to show that (C \ B) ⊆ A.

Let y be an arbitrary element in (C \ B). This means y is in C but not in B. Since y is not in B, it cannot be in (C \ A) because (C \ A) ⊆ B. Therefore, y must be in A. Thus, (C \ B) ⊆ A.

3. (c) implies (a):
Assume (C \ B) ⊆ A. We need to show that C ⊆ A ∪ B.

Let z be an arbitrary element in C. Since z is in C, it must either be in A or in B. If z is in A, then it is automatically in A ∪ B. If z is in B, then it is not in (C \ B) since (C \ B) ⊆ A. Therefore, z must be in A. Thus, C ⊆ A ∪ B.

By proving all three implications, we have shown that (a), (b), and (c) are equivalent.

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When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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Answer:

$10/hour

Step-by-step explanation:

Solving

Take two points and find slope

Slope

Pay rate 10$/h