solve the system of equations y=2x -4,y = -x+2

Answer:

[tex]\displaystyle y > \frac{1}{4} x+1[/tex]

Step-by-step explanation:

To find the inequality of the shaded area which passes through points (-4, 0) and (4, 2), first we need to find the equation of the line.

To find the equation that passes through (x₁, y₁) and (x₂, y₂), we use this formula:

[tex]\boxed{\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1} }[/tex]

Given:

Then:

[tex]\begin{aligned}\frac{y-y_1}{y_2-y_1}&=\frac{x-x_1}{x_2-x_1}\\\\\frac{y-0}{2-0}&=\frac{x-(-4)}{4-(-4)}\\\\\frac{y}{2}&=\frac{x+4}{8}\\\\y&=\frac{1}{4}x+1 \end{aligned}[/tex]

Now, we look at the line in the graph. Since the line is a dotted line, which means that the line is excluded from the shaded area. Then we can only use < or > for the inequality (instead of ≤ or ≥).

Finally, we look at the shaded area. Since the area is above the line, which means the y-value of the area is larger than the y-value of the equation (line), then we will use the larger than sign (>) and the answer will be:

[tex]\displaystyle y > \frac{1}{4} x+1[/tex]

Answer:

D. 12.3 ft

Step-by-step explanation:

This problem requires the use of trigonometric ratios. This one specifically uses the cosine ratio as it provides the hypotenuse and is asking for the side that is adjacent to the angle.

cos(40°)=a/16

cos(40°)×16=a/16×16

cos(40°)×16=a

a=12.256 ft

The length of side a is D. 12.3 ft.

Answer:

A.)

Two x-intercepts

Step-by-step explanation:

This question pertains to determining the number of x-intercepts a given quadratic equation has. To solve this, the discriminant of the quadratic equation would need to be calculated, which subsequently determines the number of x-intercepts (if repeated D>0 equals two, D=0 equals one and D<0 means none). The exact number for this specific equation could not be calculated due to an unclear part in the question.

The equation y = 0.5x^2 -6x + 3 is an equation of a quadratic function. The x-intercepts of this function can be found by setting y to 0 and solving the equation for x. A quadratic equation, however, can have two, one, or no x-intercepts, depending on its discriminant (D). The discriminant is found with the equation D = b^2 - 4ac from the general form of a quadratic equation which is ax^2+bx+c = 0. If D > 0 the quadratic has two x intercepts, if D = 0 then it has exactly one and if D < 0 it has none.

For our equation (0,5x^2-6x+3), the discriminant (D) could be calculated as: D = (6)^2 - 4*(0,5)*3. After this calculation, we could determine the number of x-intercepts but since this is not fully clarified in the question, we can't provide a definite answer.

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Answeer:4 for thr first question

Then 4 for the second and the last question is 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

per bag

9/3=3 lollipops

6/3=2 peanut butter cups

3/3=1 chocolate

then add them together to get 6

Answer: 6 pieces of candy

Step-by-step explanation:

Assuming lollipops, peanut butter cups, and chocolate are wanted in 3 bags, we would add all the candy together.

9+6+3=18

We have a total of 18 candies. Since we have to split the candy into 3 bags, you would divide 18 by 3.

18/3=6

There will be 6 pieces of candy in each bag.

The correct answer is B) Yolanda should have found the volume by multiplying 8 by Four-thirds.

Yolanda incorrectly used the formula for volume of a sphere instead of the correct formula. The volume of a sphere is V = (4/3)πr³, not V = four-thirds(8) cubed.

By using the correct formula, Yolanda should have multiplied 8 by four-thirds to find the volume of the sphere, resulting in a different value.

Answer:

(-2, -1).

Step-by-step explanation:

When trying to find the solution to a system of equations graphically, all you need to do is find the point of intersection between the two equations.

In the graph pictured, we can see that the two equations intersect at (-2,-1).

Answer:

B

Step-by-step explanation:

Answer:

263

Step-by-step explanation:

remember the square is 90

Answer: (0.2215, 0.5785)

Step-by-step explanation:

Given, Trinity takes a sample of 50 songs and finds that 20 are by a female artist.

Let p be the proportion of songs on her phone by a female artist.

Then , the 99% confidence interval for p would be :-

[tex]\hat{p}\pm z\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]  ...(i)

As per given , Sample size : n= 50

Sample proportion of songs on her phone by a female artist. [tex]\hat{p}=\dfrac{20}{50}=0.4[/tex]

For 99% confidence level , critical z-value =2.576

Substituting values in (i), we get

[tex]0.4\pm 2.576(\sqrt{\dfrac{0.4(1-0.4)}{50}})\\\\=0.4\pm 2.576\sqrt{0.0048}\\\\\approx0.4\pm0.1785\\\\=(0.4-0.1785,\ 0.4+0.1785)\\\\=(0.2215,\ 0.5785)[/tex]

Hence, a 99% confidence interval for the proportion of songs on her phone by a female artist : (0.2215, 0.5785)

complete question:

The volume of the sphere is 500/3 π cubic units. What is the value of x?  

x = radius

Answer:

x = 5 units

Step-by-step explanation:

The volume for a sphere can be represented as follows

volume = 4/3πr³

volume = 500/3 π

x = radius

volume = 4/3πx³

500/3 π = 4/3 × π × x³

multiply both sides by 3/4

500/3 × π × 3/4 = π × x³

125π = πx³

divide both sides by π

x³ = 125π/π

x³ = 125

cube root both sides

x³ = ∛125

x = 5 units

Answer:

divide 300 feet by 50 which is 6, divide 125 ft by 50 which is 2.5. Therefore your dimensions are 6 in by 2.5 in

if you're in putting in the computer it may want 2.5 in fraction form which is 2 1/2 in or in improper fraction form 5/2 in

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Step-by-step explanation:

The building's dimensions would be 22.5 inches by 12.5 inches on the drawing when the scale of 1 inch represents 10 feet.

The dimensions of the building you have mentioned are 225 feet by 125 feet. Given the scale of 1 inch represents 10 feet, we can calculate the dimensions of the building on the drawing by dividing each dimension of the building by the scale factor.

So, for the first dimension: 225 feet divided by 10 (scale factor) equals 22.5 inches. For the second dimension, 125 feet divided by 10 equals 12.5 inches.

Therefore, the dimensions of the building on the drawing would be 22.5 inches by 12.5 inches.

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Answer:

60

Step-by-step explanation:

Divide 6 by 3 = 2 songs per month

times it by 30 (months) = 60 songs per 30 months

Answer:

36 sq cm

Step-by-step explanation:

area of kite = diagonal1 * diagonal2/2

area = 18 cm * 4 cm / 2

area = 72 sq cm/2

area = 36 sq cm

Answer:

4x  +6

Step-by-step explanation:

(x+4) + (3x+2)

Combine like terms

x+3x   +4+2

4x  +6

To find the sum of the expressions (x+4) and (3x+2), one combines like terms. The sum of the x terms, 1x and 3x, is 4x and the sum of the constants, 4 and 2, is 6. Hence, the sum of the given expressions is 4x + 6.

To find the sum of two expressions, (x+4) and (3x+2), we need to follow a process known as combining like terms. In arithmetic and algebra, 'like terms' are terms that have the same variables and powers. In this case, the 'like terms' are x in (x+4) and 3x in (3x+2).

Adding these two expressions, we get:

(x + 4) + (3x + 2)

To combine like terms, we add the coefficients of the x terms together (1x and 3x) and we add the constants together (4 and 2).

Sum of x terms: x + 3x = 4x

Sum of constants: 4 + 2 = 6

So, the sum of (x + 4) and (3x + 2) is 4x + 6.

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Answer:

Column A: Domain: B: -6, -3, -2, 0, 2, 3, 5, 8

Column A: Range: A: -2, -1, 9, 2, 3

Step-by-step explanation:

We can derive these answers by looking at the x and y values of each dot. The Domain is represented by the x values, and the Range is represented by the y values.

The answers chosen contain the x and y values that the graph represents.

Answer:

x = 6

Step-by-step explanation:

8^2 + x^2 = 10^2

64 + x^2 = 100

x^2 = 36

x = 6 (-6 can't be a length)

Answer:

The Answer Is 6

Step-by-step explanation:

By Pythagoras Theorem

(AC)^2 = (AB)^2 + (BC)^2

(AB)^2 = (AC)^2 - (BC)^2

(AB)^2 = (10)^2 - (8)^2

(AB)^2 = 100 - 64

(AB)^2 = 36

(AB) = 6

AB = X = 6

Answer:

A) 32 4/5 divided by 8 1/5

B)  4

Step-by-step explanation:

Answer:

Hope this helps...

Step-by-step explanation:

P stands for polynomial time. NP stands for non-deterministic polynomial time. Definitions: Polynomial time means that the complexity of the algorithm is O(n^k), where n is the size of your data (e. g. number of elements in a list to be sorted), and k is a constant.

Now, a German man named Norbert Blum has claimed to have solved the above riddle, which is properly known as the P vs NP problem.

Answer:

The P versus NP is a famous unsolved problem in computer science.

It questions that if every problem whose solution can be rapidly verified can also be solved in limited time.

Hope this helps!

:)

Answer:

is this what your looking for?

Step-by-step explanation:

Answer:

!5%

Step-by-step explanation:

Answer:

I think the answer is 4 1/2 out of 30 chance.

Step-by-step explanation:

The probability of selecting two solid chocolates in a row is 4/145.

To calculate the probability of selecting two solid chocolates in a row, we need to consider the probability of selecting a solid chocolate on the first draw and the probability of selecting a solid chocolate on the second draw, given that a solid chocolate was selected on the first draw.

There are a total of 30 chocolates, with 9 solid chocolates. Therefore, the probability of selecting a solid chocolate on the first draw is 9/30.

After eating the first chocolate, there are now 29 chocolates left in the box, with 8 solid chocolates remaining. So the probability of selecting a second solid chocolate is 8/29.

Since the two events are independent, we can multiply the probabilities of each event to find the probability of both events occurring:

Probability of selecting two solid chocolates = (9/30) * (8/29) = 4/145.

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Answer:

B 18%

Step-by-step explanation:

14 times .18 or 18% is 2.52. add that to 14 for 16.52 which is the closest to 16.50

Answer:

mean-175.5

median-18

mode-18

range-11

Step-by-step explanation:

Answer:

(mean 175.5) (median 18) (mode 18) (range 11)

Step-by-step explanation:

Answer:

65 non-fiction books need to be shelved

Step-by-step explanation:

This question can be solved using a rule of three.

For each 5 non-fiction books, there are 9 fiction books. How many non-fiction books are there when there are 117 fiction books?

5 non-fiction - 9 fiction

x non-fiction - 117 fiction

[tex]9x = 5*117[/tex]

[tex]x = \frac{5*117}{9}[/tex]

[tex]x = 65[/tex]

65 non-fiction books need to be shelved

Answer:

52

Step-by-step explanat

because 117 -56-9=52

Answer:

4048.38 J

Explanation:

By using the formula Q=mcΔT

Q = 0.765 × 126 × 42

= 4048.38 J

The quantity of heat required to raise the  temperature is 4048.38 Joules.

Given the following data:

We know that the specific heat capacity of mercury is 126 J/kg°C.

To find how much heat is required to raise the  temperature:

Mathematically, heat capacity or quantity of heat is given by the formula;

[tex]Q = mc\theta[/tex]

Where:

Substituting into the formula, we have:

[tex]Q = 0.765[/tex] × [tex]126[/tex] × [tex]42[/tex]

Quantity of heat, Q = 4048.38 Joules

Therefore, the quantity of heat required to raise the  temperature is 4048.38 Joules.

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Answer:

80

Step-by-step explanation:

rusher

Answer:

80 hours

Step-by-step explanation:

speed = distance / time

time = distance / speed = 6000/ 75 = 80

Answer:

4

Step-by-step explanation:

1 1/2 / 3/5=2 1/2

1 1/2 + 2 1/2=4

Answer:

[tex]f(x)=2x^3+x[/tex]

Step-by-step explanation:

An odd function f is one where [tex]f(-x)=-f(x)[/tex]. We can interpret this is meaning: reflecting the graph horizontally [tex]f(-x)[/tex] has the same effect as reflecting it vertically [tex]-f(x)[/tex] . The only graphs that meet this requirement are ones with reflectional symmetry across the line y = x, so we can immediately elimate the functions [tex]f(x)=3x^2+7[/tex] and [tex]f(x)=5x^2-6[/tex], which have horizontal symmetry, but not the kind of symmetry we're looking for.

That leaves us with [tex]f(x)=2x^3+x[/tex] and [tex]f(x)=4x^3+2x^2[/tex]. One feature of exponents we can utilize is that -1 to an even power is 1, while -1 to an odd power is -1. If we want [tex]f(-x)=-f(x)[/tex], we need to flip the signs of all the coefficients, and we can only do that if all the powers of x are odd. The only function with only odd powers of x is [tex]f(x)=2x^3+x[/tex], and plugging in -x to the function reveals that

[tex]f(-x)=2(-x)^3+(-x)\\f(-x)=-2x^3-x=-(2x^3+x)=-f(x)[/tex]

So [tex]f(x)=2x^3+x[/tex] the only odd function on the list!