Which statements are true about the graph of
y< 2x + 1? Check all that apply.
Graph: y < }x+1
The slope of the line is 1.
The line is solid.
The area below the line is shaded.
A solution to the inequality is (2.3).
The x-intercept of the boundary line is (-3.0).
Draw
Click or tap the graph to plot a point
Answers
Answer:
The area below the line is shaded.
Step-by-step explanation:
Using the zero-interval test [test point (0, 0)], we plug in 0 for both y and x to determine whether we shade below the line [the portion that DOES contain the origin] or above the line [the portion that does not contain the origin]. This is where me must verify the inequality as false or true:
[tex]\displaystyle 0 < 2[0] + 1 → 0 < 1[/tex]
This is a genuine statement, therefore we shade below the line.
I am joyous to assist you anytime.
Related Questions
What are the zeros of A(x) = (x - 2)(x+ 7)? Select all that apply.
しか
MAX=21
ロロロロ
ロ D.x=7
Answers
Answer:
The zeros of the function are x=-7 and x=2
Step-by-step explanation:
we have
[tex]A(x)=(x-2)(x+7)[/tex]
we know that
The zeros or roots of the function are the values of x when the value of the function is equal to zero (also is called the x-intercepts)
so
For A(x)=0
[tex](x-2)(x+7)=0[/tex]
Remember that
The Zero Product Property states that
if ab = 0, then either a = 0 or b = 0, or both a and b are 0
so
Let
[tex](x-2)=0[/tex] ----> [tex]x=2[/tex]
[tex](x+7)=0[/tex] ----> [tex]x=-7[/tex]
therefore
The zeros of the function are x=-7 and x=2
The lengths of the sides of a quadrilateral are in extended ratio 1:1:2:3. the perimeter is 56 feet what are the lengths of the sides
Answers
Length of sides of quadrilateral are 8 feet, 8 feet, 16 feet, 24 feet
Solution:Given that length of the sides of a quadrilateral are in extended ratio 1:1:2:3
Perimeter of the quadrilateral = 56 feet
Need to determine length of the sides
As length of the sides of a quadrilateral are in extended ration 1: 1: 2: 3
lets assume that four sides of rectangle = 1x, 1x, 2x and 3x
Perimeter of quadrilateral = sum of length of four sides
=> Perimeter of quadrilateral = 1x + 1x + 2x + 3x = 7x
As given that perimeter = 56 feet
=> 56 = 7x
x = 8
Then the length of sides are:
1x = 1(8) = 8 feet
1x = 1(8) = 8 feet
2x = 2(8) = 16 feet
3x = 3(8) = 24 feet
Mrs.Young’s recipe for haggis calls for 2 1/4 cups of stock and serves 12. How much stock will she need to make 4 servings of haggis?
Answers
Answer:
byzantine style of architecture is an example of haggis sophias style
Step-by-step explanation:
Final answer:
To find out how much stock is needed for 4 servings of Mrs. Young's haggis recipe, we use proportional relationship calculations to arrive at 3/4 cup of stock.
Explanation:
The student needs to determine how much stock Mrs. Young will need for 4 servings of her haggis recipe if the original recipe, which serves 12, calls for 2 1/4 cups of stock. To solve this, a proportional relationship can be used, as follows:
Multiply the number of servings in the original recipe by the amount of stock to find the stock per serving.
Divide the original number of servings (12) from the result to find the stock needed for one serving.
Multiply the amount of stock for one serving by the new number of servings (4) to determine the total stock needed.
The calculation would be: (2 1/4 cups ÷ 12 servings) × 4 servings. Since 2 1/4 cups is equal to 9/4 cups, the arithmetic gives us: (9/4 cups ÷ 12) × 4 = 3/4 cup of stock needed for 4 servings.
HOMEWORK
Solve.
3. Henry's desk is 1 meter long. His nametag is
8 centimeters long. Henry says his nametag is
7 centimeters longer than his desk. What error
did Henry make? Explain how to correct it.
Answers
Answer:
1 meter is 100 centimeters
Henry misread the meters part and assumed his desk was 1 centimeter, which is why he thought his nametag was 7 cm longer.
In reality, his desk is 92 cm longer (100 cm - 8 cm = 92 cm)
The expression below shows a number in
expanded form. What is the standard form of
the number?
(2 x 10) + (3 x 1/10+ (9 X 1/100) + (7 X 1/1,000)
Answers
Answer:
20.397
Step-by-step explanation:
The expression below shows a number in expanded form:
[tex](2\times 10) + \left(3\times \dfrac{1}{10}\right)+ \left(9 \times \dfrac{1}{100}\right) +\left (7 \times \dfrac{1}{1,000}\right)[/tex]
This expanded form tells you that the number has
[tex]2[/tex] at tens place;[tex]3[/tex] at tenths place;[tex]9[/tex] at hundredths place;[tex]7[/tex] at thousandths place.Hence, this number is [tex]20.397[/tex]
The table shows the gallons of water in a pool over time.
A two column table with six rows. The first column, Time in minutes, has the entries, 0, 1, 2, 3, 4, 5. The second column, Water in Pool in gallons, has the entries, 50, 44, 38, 32, 26, 20.
Choose the term that describes the slope of the line of a graph representing the data in the table.
The slope of a line graphed to represent the volume of water in a pool over time would be described as .
Answers
Answer:
negative
Step-by-step explanation:
The slope of a line graphed to represent the volume of water in a pool over time will be 6 and the equation of the line representing the table
y = - 6x + 50
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have a table as given in the question as follows -
Time (in minutes) Water (in gallons)
0 50
1 44
2 38
3 32
4 26
5 20
We can write the slope of the line as follows -
The slope of the line will be -
m = (y₂ - y₁)/(x₂ - x₁)
m = (44 - 50)/(1 - 0)
m = -6
At [x] = 0, the [y] coordinate is 50. Therefore, the equation of the line representing the table -
y = - 6x + 50
Refer to the graph attached.
Therefore, the slope of a line graphed to represent the volume of water in a pool over time will be 6 and the equation of the line representing the table y = - 6x + 50
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Elijah has 5 United states coins ranging in value from $0.01 to $0.25. What is the least amount of money Elijah can have if he has no more than 2 coins alike
Answers
Answer:
2 pennies 2 nickels and a dime 22 cents
16 factory workers made 40 pieces in a certain amount of time. How many workers are needed to make (1) 20, (2)25 and (3)100 pieces in the same amount of time, assuming each worker works at the same rate?
Answers
1. 40 units___16 workers
20 units___x= 8 workers
(20*16)/40=8
2. 40 units___16 workers
25 units___x= 10 workers
(25*16)/40=10
3. 40 units___16 workers
100 units___x= 40 workers
(100*16)/40=40
Step-by-step explanation:
1. 40 units: 16 workers 2. 40 units: 16 workers
20 units: 8 workers 25 units: 10 workers
(20 x 16) /40= 8 workers (25 x 16) /40= 10 workers
3. 40 units: 16 workers
100 units: 40 workers
(100 x 16) / 40= 40 workers
Mark Me Brainliest!!
Increase 1/2kg by 250g
Answers
One kilogram is made of 1000 grams. So, 1/2kg is made of 500 grams. If we add 250 grams, we have 750 grams, or 0.75kg.
To increase 1/2 kg by 250g, add the two values is 750g.
In mathematics, we often encounter situations where we need to perform operations with different units of measurement. In this case, you want to increase 1/2 kg by 250g. The first step is to convert both quantities to a common unit to facilitate the addition.
Step 1: Convert 1/2 kg to grams
We know that 1 kg is equal to 1000 grams (1 kg = 1000g). To find out how many grams are in 1/2 kg, we multiply 1/2 by 1000:
1/2 kg * 1000g/kg = 500g.
So, 1/2 kg is equivalent to 500g.
Step 2: Perform the addition
Now, we have both quantities in the same unit (grams). The addition becomes straightforward:
500g + 250g = 750g.
Thus, when you increase 1/2 kg by 250g, the result is 750 grams.
In summary, to add quantities with different units, it's crucial to convert them into the same unit before performing the operation. Here, we converted kilograms to grams and then added the values to get the final result of 750g.
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Ingrid has $28 to buy oil paints for her painting class. Each tube of paint
costs $8. How many tubes can she buy? Do not include units in your answer.
Answers
Answer:
28/8=3.5...so probably just 3
Step-by-step explanation:
Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What was the total cost of the bond (to the nearest whole cent)?
$943.82
$1,064.44
$534.77
$2,054.22
None of these choices are correct.
Answers
Answer:
None of these choices are correct.
Step-by-step explanation:
The quoted value of 99.875, means that this bond is sold at 99.875% of the face value and not at a price of $99.875.
Therefore, calculate price;
Price = 0.99875 * 1000
Price = $998.75
Since brokerage fees is 5.5% of the selling price, Leona will pay additional cost to the quoted price making the total cost to be more than $998.75;
Brokerage fees = (0.055*998.75) = $54.93
Total cost = $998.75 +$54.93
= $1053.68
Therefore, none of the choices is correct.
need some help with this question : When driving to their family reunion, River's mom drove 10 miles at a rate of x mph and then 25 miles at a rate of x + 10 mph . The total driving time was 45 minutes. What were the two driving speeds at which River's mom drove?
Answers
Answer:
The speed of River's mom drove for 10 miles distance is 0.234 mph
The speed of River's mom drove for 25 miles is 10.234 mph
Step-by-step explanation:
Given as :
The first distance cover by River's mom = 10 miles
The rate of speed = x mph
The second distance cover by river's mom = 25 miles
The rate of speed = x + 10 mph
The total driving time = 45 min
Now, According to question
Time = [tex]\dfrac{\textrm Distance}{\textrm speed}[/tex]
So, 45 = [tex]\dfrac{10}{x}[/tex] + [tex]\dfrac{25}{x + 10}[/tex]
Or, 9 = [tex]\dfrac{2}{x}[/tex] + [tex]\dfrac{5}{x + 10}[/tex]
Or, 9 × x × ( x + 10 ) = 2 × ( x + 10 ) + 5 x
Or, 9 x² + 90 x = 2 x + 20 + 5 x
Or, 9 x² + 90 x = 7 x + 20
Or, 9 x² + 90 x - 7 x - 20 = 0
Or, 9 x² + 83 x - 20 = 0
Solving this quadratic equation
x = [tex]\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}[/tex]
Or, x = [tex]\frac{-83\pm \sqrt{83^{2}-4\times 9\times (-20)}}{2\times 9}[/tex]
Or, x = [tex]\frac{-83\pm \sqrt{7609}}{18}[/tex]
∴ x = [tex]\frac{-83+87.22}{18}[/tex] , tex]\frac{-83-87.22}{18}[/tex]
I.e x = 0.234 , - 9.4567
We consider x = 0.234
So, The speed for 10 miles distance = x = 0.234 mph
and The speed of 25 miles = x + 10 = 0.234 + 10 = 10.234 mph
Hence The speed of River's mom drove for 10 miles distance is 0.234 mph
and The speed of River's mom drove for 25 miles is 10.234 mph Answer
Final answer:
To find the two driving speeds, use the distance formula and set up two equations. Simplify the equations to find the speeds.
Explanation:
To find the two driving speeds at which River's mom drove, we can use the formula distance = speed x time. We know that the total driving time was 45 minutes. We can set up two equations using the given information:
10 = x ⋅ (45/60)
25 = (x + 10) ⋅ (45/60)
Simplifying the equations, we get:
x = 20 mph
x + 10 = 30 mph
Therefore, River's mom drove at speeds of 20 mph and 30 mph.
Antonia participated in a run-a-thon and raised $265 for her school. She received $25 in donations and an additional $8 for every lap she ran. How many laps did Antonia run?
Answers
Answer:
30
Step-by-step explanation:
If Miranda flips a coin twice, what is the probability that both coins will land heads up? The probability that the first coin will land heads up is 1/8, 1/4, 1/2, 3/4? . The probability that the second coin will land heads up is 1/8, 1/4, 1/2, 3/4. The probability that both coins will land heads up is 1/8, 1/4, 1/2, 3/4?
Answers
Answer:
I just did it and got it right so hoped it helped you ;)
1/2
1/2
1/4
Step-by-step explanation:
The probability that both coins will land heads up when Miranda flips them twice, assuming each coin is fair and has an equal chance of landing heads or tails, is 1/4. Each flip has a probability of 1/2 for heads, and these probabilities multiply for sequential independent events.
Explanation:If Miranda flips a coin twice, the probability that both coins will land heads up needs to be calculated by multiplying the probability of the first coin landing heads up by the probability of the second coin doing the same. Since the chance of a coin landing on heads (assuming it is a fair coin) is usually 50%, that is 1/2 for each flip. Therefore, to find the probability of both coins landing heads up, we multiply these probabilities together: 1/2 × 1/2 = 1/4.
In a broader context, the more times you flip a coin, the closer you are likely to get to 50% heads due to the law of large numbers. Notably, in experiments such as one conducted by Karl Pearson, after 24,000 coin flips, the relative frequency of heads was 12,012/24,000 ≈ 0.5005, closely aligning with the theoretical probability of 1/2. An essential assumption in determining these probabilities is that the coin is fair and each flip is independent of the others.
DOES ANYONE KNOW HOW TO DO THIS??????????? NEED HELP QUICK!!!!!!!!
Answers
Answer:
1. Figure 4
2. Figure 2
3. Figure 4
Answer:
1. Figure 2
2. Figure 3
3. Figure 1
Step-by-step explanation:
Brainlest?
The product of a whole number and a decimal number is a whole number
True or False?
Answers
Answer:
true
Step-by-step explanation:
Renee is playing a game online. If she gets a total of 25 points, she will have a new
high score. She currently has -5 points. What is the difference
score of 25 points and the number of points she currently has?
Answers
Answer:
20 points
Step-by-step explanation:
key words: difference
Take the amount of points she has and subtract what she has
25-5
If D=25 use information in the figure below to determine angle F
Answers
Answer:
130°
Step-by-step explanation:
DEF is an isosceles triangle with base DE and DF = EF.
By definition, base angles of an isosceles triangle are equal.
Hence ∠FDE = ∠DEF = 25°
Angle F = 180° - ∠FDE - ∠DEF
= 180° - 25° - 25°
= 130°
helpppppp me plssss
Answers
Answer: B
Step-by-step explanation:
Slope = rise/run (aka change in y/change in x)
Slope = (-9-(-9.75))/(-4-(-1)) = 0.75/-3 = -1/4
A cell phone company orders 400 new phones from a manufacturer. If the probability of a phone being defective is 2.1%, predict how many of the phones are likely to be defective.
Answers
Answer:
9
Step-by-step explanation:
gave picture to explain
9 out of 400 phones are likely to be defective.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
If the probability of a phone being defective is 2.1%, we can use this probability to predict how many of the 400 new phones are likely to be defective.
The expected number of defective phones can be found by multiplying the probability of a phone being defective by the total number of phones ordered:
Expected number of defective phones = probability of a phone being defective × total number of phones ordered
In this case, the probability of a phone being defective is 2.1%, or 0.021 as a decimal.
The total number of phones ordered is 400.
So, we can write:
Expected number of defective phones = 0.021 × 400 = 8.4
We can't have a fractional number of defective phones, so we need to round to the nearest whole number.
Since 0.4 is greater than or equal to 0.5, we round up to 9. Therefore, we can predict that 9 of the 400 new phones are likely to be defective.
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Please Help !!!!!!!!!!!!!!!!
Answers
Answer:
the first one should be 2 because
if you put 2 it would look like this:
7x + 2 = 7x + 2
and if you answer it or try to simplify
7x + 2 = 7x + 2 or 7x + 2 = 7x + 2
- 2 - 2 -7x -7x
7x = 7x 2 = 2
/7 /7
x = x
and for the second one could be any number but 2
to prove this lets choose 5
and now to solve:
7x + 2 = 7x + 5 or 7x + 2 = 7x + 5
-7x -7x - 2 - 2
2 ≠ 5 7x = 7x + 3
-7x -7x
0 ≠ 3
radius CS bisects chord AG what is measure CGF?
Answers
Answer:
m∠CGF=25°
Step-by-step explanation:
we know that
In a circle, a radius that bisects a chord is perpendicular to the chord
so
CS is perpendicular to AC
The triangle GFC is a right triangle
Remember that the sum of the measures of the interior angles in a triangle must be equal to 180 degrees
m∠CGF+m∠GFC+m∠GCF=180°
we have
m∠GFC=90°
m∠GCF=65°
substitute
m∠CGF+90°+65°=180°
m∠CGF+155°=180°
m∠CGF=180°-155°
m∠CGF=25°
Liam Had 250. Then, he and his classmate buy present for their teacher, evenly splitting the P cost among the 24 of them. How much does Liam have left. Write your answer as an expression
Answers
Let L be the amount he has left
L= 250-( P/24 )
onsider the function f(x)=−2/3x+2 . What is f(1/2) ?
Answers
Answer:5/3
Step-by-step explanation: plug in 1/2 for x
Answer
ITS A (–∞, –3)
Step-by-step explanation:
117 divided by 13 in equal groups
Answers
Answer:
Step-by-step explanation:
1x117 = 117
3x39 = 117
9x13 = 117
The result of the division , 117 divided by 13 is 9.
Given the parameters which can be used in our calculation:
Numerator = 117Denominator = 13We can write the expression thus :
117/13Now we have :
117/13 = 9The result of the division operation is 9
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) Ava walks from her apartment to the train station, which is 25 blocks away. She has walked
15 blocks so far. Ava wants to know what percent of the distance to the train station she
has walked so far.
Answers
To find out what percent of the distance Ava has walked so far, we can set up a proportion and solve for x. Ava has walked 60% of the distance to the train station.
Explanation:To find out what percent of the distance Ava has walked so far, we can set up the following proportion:
15/25 = x/100
Where 15 is the distance Ava has walked, 25 is the total distance to the train station, x is the unknown percentage, and 100 represents 100%. To solve for x, we can cross multiply and divide:
15 * 100 = 25 * x
1500 = 25 * x
Dividing both sides by 25, we get:
x = 1500/25
x = 60
Therefore, Ava has walked 60% of the distance to the train station.
Final answer:
To find the percent of the distance Ava has walked so far to the train station, divide the distance she has walked by the total distance and multiply by 100. In this case, Ava has walked 15 blocks out of 25 blocks, so she has walked 60% of the distance.
Explanation:
To find the percent of the distance Ava has walked so far, you can divide the distance she has walked by the total distance to the train station and then multiply by 100.
In this case, Ava has walked 15 blocks out of 25 blocks to the train station. So, the percent of the distance she has walked so far can be calculated as:
Percentage = (15/25) * 100 = 60%
You have a budget of 3600 a week for payroll. You have 6 employees. Each one gets paid the same per hour. How much can you afford to pay each person per hour?
Answers
Answer:
$12 per hour
Step-by-step explanation:
3600/6=600
600/50=12
Sylvia ran 3km 290m in the morning then she ran some more in the evening if she ran a total of 10km how far did Sylvia run in the evening
Answers
Answer:
She ran 6.71km in the evening
Step-by-step explanation:
3km 290m = 3.29km
10 - 3.29 = 6.71km
Sylvia ran 6 km 710 m in the evening.
Given that, Sylvia ran a total of 10 km and 3 km 290 m in the morning.
We need to find the number of kilometres she ran in the evening.
What to subtract the two differnt units?When we are dealing with two numbers that are expressed in units, if the units are the same, we can add or subtract normally. However, if the units are different, then we can add or subtract only if the units can be converted into the same units.
Now, 3 km 290 m can be written as 3.29 km
So the distance ran in the evening =10-3.29
=6.71 km
=6 km 710 m
Therefore, Sylvia ran 6 km 710 m in the evening.
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PLZZ HELP I’m bad at math.
Answers
Answer:
y<[tex]\frac{-1}{3}[/tex]x+1 is inequality shown on graph.
Step-by-step explanation:
The graph shows representation of inequality,
Here, Line passes through points say, A(3,0) and B(0,1)
The slope of line is given by m=[tex]\frac{Y2-Y1}{X2-X1}[/tex]
m=[tex]\frac{Y2-Y1}{X2-X1}[/tex]
m=[tex]\frac{1-0}{0-3}[/tex]
m=[tex]\frac{-1}{3}[/tex]
and Y-intercept is c=1
The equation of line is given by y=mx+c
y=[tex]\frac{-1}{3}[/tex]x+1 is equation of line in graph.
To decide which side you are going to shaded area on the graph
Take test of origin.
If (0,0) is statisfy the equation then, shaded the graph towards the origin.
Let suppose,
Take, y<[tex]\frac{-1}{3}[/tex]x+1
0<[tex]\frac{-1}{3}[/tex](0)+1
0<1
TRUE,
Therefore, y<[tex]\frac{-1}{3}[/tex]x+1 is inequality shown on graph.
A baker’s dozen (13) of cookies is on sale for $2.08.
Answers
Complete Question
A baker's dozen (13) of cookies is on sale for $2.08. What is the cost of an individual cookie?
Answer:
The cost of an individual cookie is $0.16
Step-by-step explanation:
Given
Specifically, it was stated that the baker's dozen is 13 pieces
Hence. A dozen cookies = 13 cookies
Price of a dozen cookies = $2.08
In other words, the price of 13 cookies is $2.08
To get the cost of an individual cookie, we have to divide the price of a dozen cookies by the number of cookies. This is calculated as follows:
[tex]Cost of Cookies = \frac{Price of Cookies}{Number of Cookies}[/tex]
By Substituting the right values,
[tex]Cost of Cookies = \frac{Price of Cookies}{Number of Cookies}[/tex]
becomes
[tex]Cost of Cookies = \frac{2.08}{13}[/tex]
[tex]Cost of Cookies = 0.16[/tex]
Hence, the cost of an individual cookie is $0.16