Which inequality is equivalent to
4x - 2y ≤ 8?

A. y ≤ 2r-4

B. y ≥ 2r-4

C. y ≤-2r-4

D. y ≥-2r-4

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.

\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)

Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)

Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .

Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .

The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.

There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.

To learn more about graph refer to :

https://brainly.com/question/19040584

#SPJ1

Answer:

escribi en español para poder ayudarte

Therefore , the solution of the given problem of expressions comes out to be  potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

Instead of producing estimates at random, it is preferable to use expanding, decreasing, & blocking moving numbers. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. In addition to arithmetic operations like addition, negation, synthesis, and combination, a truth statement may also contain formulas, components, and notations. It is feasible to evaluate and analyse both sentences as words.

Here,

The gravitational potential energy of the bird at a height of 550m can be determined using the following formula, assuming you meant to say "0.52 kg bird" instead of "0.52k bird":

Mass times gravity times height equals gravitational potential energy.

where mass is measured in kilogrammes, gravity is the force of gravity, which accelerates objects near the Earth's surface at a rate of around 9.81 m/s2, and height is measured in metres.

Inputting the values provided yields:

The gravitational potential energy is equal to

=> 0.52 kg * 9.81 m/s2 *550 m,

=> 2,798.46 joules.

Hence, the bird's gravitational potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

Most TCS foods cool from 135°F to 70°F within two hours and from 70°F to 41°F within four hours when they're stored.

TCS foods are those foods that require time and temperature control to prevent the growth of harmful bacteria and other microorganisms that can cause foodborne illness.

The general rule is that TCS foods should be cooled from 135°F to 70°F within two hours and from 70°F to 41°F within an additional four hours. This means that the total time for cooling TCS foods should not exceed six hours.

Find out more on TCS foods at https://brainly.com/question/28257373

#SPJ1

The full question is:

Fill in the blanks:

Most TCS foods cool from _________ within two hours and from _______ within four hours when they're stored. This means that they are considered safe since bacterial growth has not reached dangerous levels yet.

Answer:

1.) x = 50 2.) x = 70

Step-by-step explanation:

These angles are complementary angles meaning the angles add up to 90°. Therefore, we can set up equations to solve for the variables.

1.)

x + 40 = 90

x = 50

2.)

x + 20 = 90

x = 70

Answer:

x = 50°

x = 70°

Step-by-step explanation:

90° - 40° = 50°

x = 50°

90° - 20° = 70°

x = 70°

Answer:

Step completed incorrectly:  2

Correct Answer: y = -4x + 22

Step-by-step explanation:

The graph is a straight line through points M(4, -1) and N(8, 0).  Point Q is located at (6, -2).

To calculate the slope of the line, substitute the points into the slope formula:

\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)

Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.

If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.

The negative reciprocal of 1/4 is -4.

Therefore, the slope of the perpendicular line is -4.

So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.

Corrected work

\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)

\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)

\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)

\(\textsf{Step 4:} \quad y+2=-4x+24\)

\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)

\(\textsf{Step 6:} \quad y=-4x+22\)

Therefore, step 2 has been completed incorrectly.

The correct answer is y = -4x + 22.

Consider the expression 4(8x + 5)

Complete 2 descriptions of the parts of the expression.

1. The entire expression is the product of 2 factors.

2. On its own, (8x + 5) is a sum with 2 terms.

Answer:

x<2

Step-by-step explanation:

2x+6<10

2x<10-6

2x<4

x<4/2

x<2

Answer:

2.5 hours

Step-by-step explanation:

The ratio - 300: 5 is the same as 60:1

150:x should equal 60:1

You divide 150 by 60 to get your answer

Answer:

2.5 hours

Step-by-step explanation:

Just divide 5 by 2 to get the same ratio! Hope this helps

Answer:

Its A

Step-by-step explanation:

Have a nice day

Answer:

Option A

Step-by-step explanation:

The graph of f(x) is the second one, so the correct option is B.

Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.

You can see that the first domain of the function is:

x ≤ -4

So we must have a closed circle at x = -4, when the parabola ends.

The second domain is:

-4 < x < 1

So x here is not equal to -4 nor 1, so this part starts and ends with open circles.

finally, the linear part starts with a closed circle.

Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.

Then we can see that the correct option is the second graph.

Learn more about piecwise functions:

https://brainly.com/question/3628123

#SPJ1

Answer:

83°

Step-by-step explanation:

-4m+51-4m+42= 158°

-8m+94= 158

-8m= 64

m= -8

JMK= -4m+51

      = -4(-8)+51

      = 32=51

      = 83°

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Answer:

7

Step-by-step explanation:

Based on the bar chart, there are 5 eels fewer that Angelfish.  

The bar chart shows that there is a total of 25 Angelfish and 20 Eels.

To the difference between both is


25-20= 5 Thus, based on the information presented n the bar chart, there are 5 eels fewer than Angelfish.  

A bar chart is used to display a distribution of data points or to compare metric values across different subgroups of your data.

A bar chart shows which groups are highest or most prevalent, as well as how other groups compare to one another.

Learn more about bar chat:
https://brainly.com/question/24741444
#SPJ1

Full question:

See attached graph.

Answer:

It’s refraction because my teacher actually told me

Answer:

x = 5.94

Step-by-step explanation:

Ans: 3x-8

now, as per the question,

LHS=y       .......(i)

and it is given in the question that 3 times x is greater than y by 8 .

so , by reframing the equation numerically,

we get,

y=3x-8.

Answer:

4

Step-by-step explanation:

0.6 x 4 is 2.4

Answer:

neither because it's just fractions and numbers

Relation between these given lines are given as follows:

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given a graph, there are a few lines in the graph we need to find the relation between them.

Since there is no mathematical data we need to observe the lines as per the graph

Since we already know about parallel and perpendicular.

So, Horizontal and verticle lines are:

A vertical line is a line, parallel to the y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to the x-axis and goes straight, left, and right.

Therefore, Relation between these given lines are given as follows:

Learn more about parallel lines here:

https://brainly.com/question/28969931

#SPJ1

Using the slope concept, it is found that the angle of elevation to the top of the bridges is of 57.7º.

The slope is given by the vertical change divided by the horizontal change.

It's also the tangent of the angle of depression.

In this problem:

Hence:

\(\tan{\alpha} = \frac{95}{60}\)

\(\alpha = \arctan{\left(\frac{95}{60}\right)}\)

\(\alpha = 57.7\)

The angle of elevation to the top of the bridges is of 57.7º.

More can be learned about the slope concept at https://brainly.com/question/18090623

a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c) . A 90% confidence interval would be wider than the 95% interval

To verify the Central Limit Theorem (CLT) conditions, we need to check the following:

1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.

2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.

3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.

Therefore, the Central Limit Theorem conditions are met.

b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:

CI = p ± z * √(p(1-p)/n)

where:

- p is the sample proportion (82% or 0.82 in decimal form).

- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.

- n is the sample size (800).

Calculating the confidence interval:

CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)

CI = 0.82 ± 1.96 * √(0.82*0.18/800)

CI = 0.82 ± 1.96 * √(0.1476/800)

CI = 0.82 ± 1.96 * √0.0001845

CI ≈ 0.82 ± 1.96 * 0.01358

CI ≈ 0.82 ± 0.0266

The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.

Learn more about confidence interval at https://brainly.com/question/73194

#SPJ1

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

Answer:

C. rectangle is cross section shape

The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2

To find the limit as x approaches -2, we substitute -2 into the function:

f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
      = 4(4) - 10 + 12 + 2
      = 16 - 10 + 12 + 2
      = 20

Therefore, the limit of the function as x approaches -2 is 20.

To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.

However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.

For more question on function

https://brainly.com/question/11624077

#SPJ8

The probability of getting a black card and a numbered card is 9/26.

To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.

There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).

Therefore, the probability of drawing a black card (P(E1)) is:

P(E1) = Number of favorable outcomes / Total number of possible outcomes

P(E1) = 26 / 52

Simplifying this fraction, we get:

P(E1) = 1/2

So the probability of drawing a black card is 1/2.

To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.

Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.

Therefore, the probability of drawing a numbered card (P(E2)) is:

P(E2) = Number of favorable outcomes / Total number of possible outcomes

P(E2) = 36 / 52

Simplifying this fraction, we get:

P(E2) = 9/13

So the probability of drawing a numbered card is 9/13.

To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:

P(E1 ∩ E2) = P(E1) × P(E2)

P(E1 ∩ E2) = (1/2) × (9/13)

Simplifying this fraction, we get:

P(E1 ∩ E2) = 9/26

Therefore, the probability of getting a black card and a numbered card is 9/26.

For such more questions on probability

https://brainly.com/question/25839839

#SPJ8

Answer: F

Step-by-step explanation:

Answer: correct answer is A

Step-by-step explanation:

Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.