Answer:
C. -7 < x < 7
Step-by-step explanation:
|2x| is the absolute value of 2x. You can think of it as the positive of a number, or as the distance between a number and 0 on a number line.
So |2x| < 14 means 2x is less than 14 units away from 0.
We can split this into two inequalities.
2x < 14 and 2x > -14
Solving both, we get:
x < 7 and x > -7
-7 < x < 7
what is the amount if local tax withheld on this W-2
A) $2294
B) $2340
C) $256
D) 4599
Step-by-step explanation:
the local tax is B) $2340 thats what i got
What is the range of the function f(x)=2x^3−3x for the domain {−1, 1, 2}?
The range of the function is {1,-1,10} for function f(x)=2x³−3x .
What is a function?A relation is a function if it has only One y-value for each x-value.
In a function what can go into a function is called the Domain. What may possibly come out of a function is called the Codomain. What actually comes out of a function is called the Range.
The given function is f(x)=2x³−3x
The domain is {-1,1,2}
Now f(-1)=2(-1)³-3(-1)
=-2+3=1
f(1)=2(1)³-3(1)=2-3=-1
f(2)=2(2)³-3(2)=16-6=10
Hence, the range of the function is {1,-1,10} for f(x)=2x³−3x .
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ1
WILL MARK BRAINLIEST!!!
A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake
after exploding at its maximum height.
The rocket's height above the surface of the lake is given by:
g(x) = -16x² + 64x + 80
How long does it take for the rocket to reach its maximum height?
2 seconds
Explanation:Equation: g(x) = -16x² + 64x + 80
In order to find the maximum:
vertex : -b/2a
= -64/2(-16)
= -64/-32
= 2
Maximum Height:
= -16(2)² + 64(2) + 80
= 144 ft
The vertex should be maximum as a is negative and parabola opening downwards
So
x coordinate of vertex
-/2a-64/-322y coordinate is max height
-16(2)²+64(2)+80-16(4)+128+80-64+128+80128+16144ftVertex at (2,144)
The rocket would take 2s
the complement of 17% is what
Answer:
83%
Step-by-step explanation:
100%-17%=83%
i hope it helps
A lawn seed mixture contains three types of seed: bluegrass, rye, and Bermuda. The costs per pound of the three types of seed are 12 cents, 14 cents, and 3 cents, respectively. In each batch there must be at least 25% bluegrass seed, and the amount of Bermuda must be no more than 2/3 the amount of rye. To fill current orders, the company must make at least 6000 pounds of the mixture. How much of each kind of seed should be used to minimize cost
Answer:
612 dollars
Step-by-step explanation:
From the given information:
Amount of the total mixture = 6000 pounds
Also, for each batch, there needs to be at least 25% bluegrass seed.
It implies that:
In 6000 pounds, there are (25×6000)/100 = 1500 pounds of bluegrass seed.
The remaining amount of (6000 - 1500 = 4500)pounds will be for rye and Bermuda.
Suppose the amount of rye seeds = x pounds
while that of Bermuda is (4500 - x) pounds
Then, since the amount of Bermuda contains no more than 2/3 of that of rye.
The equation can be written as:
\(( 4500 - x) = \dfrac{2x}{3}\)
13500 - 3x = 2x
13500 = 5x
\(x = \dfrac{13500}{5}\)
x = 2700
Now, the amount of rye seed = 2700 pounds
while that of Bermuda seed = 4500 - 2700 = 1800 pounds
However, For Bluegrass, we are told that the cost of 1 pound is 12 cents.
So, the cost of 1500 bluegrass seeds = 12 × 1500 = 18000 cents
For rye seed; cost of 1 pound = 14 cents
the cost of 2700 rye seeds = 14 × 2700 = 37800 cents
For Bermuda seed; cost of 1 pound = 3 cents
the cost of 1800 rye seeds = 3 × 1800 = 5400 cents
The total amount = (18000 + 37800 + 5400) = 61200 cents
Recall that:
100 cents = 1 dollars
61200 cents = x dollars
x = 61200 cents/100 cents
x = 612 dollars
Thus, the minimum cost is 612 dollars.
Vanessa runs 4 miles each week. Use the number line below to solve and represent the number of weeks it will take her to run 96 miles.
The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks
How to calculate the number of weeks used by Vanessa for race?The amount of distance that Vanessa covers for a week = 4 miles
The amount of weeks it will take for her to cover 96 moles would be = ?
That is;
1 week = 4 miles
X weeks = 96 miles
Make X the subject of formula;
X = 96× 1/4
= 24 weeks
Therefore Vanessa will be able to cover 96 miles in only 24 weeks.
Learn more about distance here:
https://brainly.com/question/26046491
#SPJ1
What is Three-fourths divided by one-half?
A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 2 boxes containing one-half.
Two-thirds
1 and one-fourth
1 and one-half
3
Answer:
i think option D
Step-by-step explanation:
Answer:
1 and one-half
Step-by-step explanation:
\( \huge \frac{3}{4} \div \frac{1}{2} \\ \\ \huge = \frac{3}{4} \times \frac{2}{1} \\ \\ \huge = \frac{3}{2} \\ \\ \huge = 1 \frac{1}{2} \)
What is the definition of Antigen?
Please help
Answer:
a toxin or other foreign substance which induces an immune response in the body, especially the production of antibodies.
joan wants to jog 15 miles on a circular track 1/2 mile a diameter
how many miles is one circle of the track?
Answer:
7.5
Step-by-step explanation:
15/2
2 doesn't go into 1 so go over to the 15 and then 7 goes into 15 two times do subtract 15 and 14 and then you'll get one once you have 1 left over add a decimal next to the 7 on top right after that add a 0 next to the one then you'll get a 10 once you have a 10, you can know how much 2 goes into 10 which 5 and subtract 10 by it self then you'll get your answer 7.5
This data set represents the number of
children in 8 families
4, 2, 1, 2, 4, 2, 6, 3
The mean of this data set is 3. What is the
Mean Absolute Deviation (MAD)?
A. 1.25
B. 8
C. 3.3
D. 3
Answer:
1.25
Step-by-step explanation:
Lets sum up the values
24
and then divide by their number (8)
we get 3 on average
now let's see how much each data point varies from that average (this is always a positive value)
1, 1, 2, 1, 1, 1, 3, 0
Let's sum and divide by 8 again
10/8 = 1.25
(would really, reallly appreciate the brainliest)
Giving out free brainliest!!! Come hurry doing it until 2:30!!!
Answer: ok when it start
Step-by-step explanation:
Answer:
thx so much :)
Step-by-step explanation:
Which of these statements is correct?
A
A solution to the equation x2=4 is x=16.
B
A solution to the equation x2=64 is x=4.
C
A solution to the equation x3=8 is x=24.
D
A solution to the equation x3=125 is x=5.
my opinion answer c solution to the equation X3 equals to 8 is X = 24
Answer:
D
Step-by-step explanation:
it is correct cause x^3 power is 125 and x is 5
find the slope and y-intercept.
The slope and the y-intercept of the line y = 4x + 5 are given as follows:
Slope of 4.y-intercept of 4.How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.The function for this problem is given as follows:
y = 4x + 5.
Hence the slope and the intercept are given as follows:
m = 4.b = 5.Missing InformationThe problem asks for the slope and the intercept of y = 4x + 5.
More can be learned about linear functions at https://brainly.com/question/15602982
#SPJ1
Ronald Ate 1/3 of a pizza on Monday on Tuesday he ate part of the leftover pizza after he ate on Tuesdays there was 1/2 Of the pizza remaining Ronald drew a circle to represent the whole pizza and shaded part of it to represent the fraction of the pizza he ate on Tuesday which diagram did Ronald draw
A. 1/6
B.2/3
C.7/8
D.3/6
Answer:
B.2/3
Step-by-step explanation:
Let's work backwards from the information we have to determine which diagram Ronald drew.
We know that after Ronald ate on Tuesday, there was 1/2 of the pizza remaining. This means that he ate 1/2 of the pizza on Tuesday, since he had eaten 1/3 of the pizza on Monday.
So, if we add 1/2 and 1/3, we get:
1/2 + 1/3 = 5/6
This means that Ronald ate 5/6 of the pizza in total. We also know that he ate 1/2 of the pizza on Tuesday, so the fraction he ate on Monday was:
5/6 - 1/2 = 1/3
This confirms that Ronald ate 1/3 of the pizza on Monday.
Now, let's look at the answer choices. We need to find a diagram that represents Ronald eating 1/2 of the pizza, since that's what he ate on Tuesday. The only answer choice that represents 1/2 of the pizza shaded is B. 2/3.
Therefore, Ronald drew diagram B. 2/3.
Answer:
Step-by-step explanation:
Sal's pizzeria charges $414 for 23 pizzas what does the pizzeria charge for one pizza
Answer: $18
Step-by-step explanation:
414 divided by 23 = 18
So, 18 is your answer
Answer:
Cost of 1 pizza = $18
Step-by-step explanation:
Given information,
→ 23 pizzas = $414
Now we have to,
→ Find the required cost of 1 pizza.
Let us assume that,
→ 1 pizza's cost = p
Forming the equation,
→ 23 pizzas × p = $414
Then the value of p will be,
→ 23 × p = 414
→ p = 414 ÷ 23
→ [ p = $18 ]
Hence, the value of p is 18.
Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x – 3 On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded. Only values that satisfy y > 3x + 1 are solutions. Only values that satisfy y < 3x – 3 are solutions. Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions. There are no solutions.
There are no solutions to the system of inequalities Option (d)
Inequalities are a fundamental concept in mathematics and are commonly used in solving problems that involve ranges of values.
A system of two inequalities is a set of two inequalities that are considered together. In this case, the system of inequalities is
y > 3x + 1
y < 3x - 3
The inequality y > 3x + 1 represents a line on the coordinate plane with a slope of 3 and a y-intercept of 1. The inequality y < 3x - 3 represents another line on the coordinate plane with a slope of 3 and a y-intercept of -3. We can draw these lines on the coordinate plane and shade the regions that satisfy each inequality.
The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.
We can start by analyzing the inequality y > 3x + 1. This inequality represents the region above the line with a slope of 3 and a y-intercept of 1. Therefore, any point that is above this line satisfies this inequality.
Next, we analyze the inequality y < 3x - 3. This inequality represents the region below the line with a slope of 3 and a y-intercept of -3. Therefore, any point that is below this line satisfies this inequality.
To determine which values satisfy both inequalities, we need to find the region that satisfies both inequalities. This region is the intersection of the regions that satisfy each inequality.
When we analyze the regions that satisfy each inequality, we see that there is no region that satisfies both inequalities. Therefore, there are no values that satisfy the system of inequalities shown.
There are no solutions to the system of inequalities y > 3x + 1 and y < 3x - 3 by analyzing the regions that satisfy each inequality on a coordinate plane. The lack of a solution is determined by the fact that there is no region that satisfies both inequalities.
To know more about Inequalities here
https://brainly.com/question/28823603
#SPJ1
Complete Question :
Which is true about the solution to the system of inequalities shown?
y > 3x + 1
y < 3x – 3
On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.
Options:
a)Only values that satisfy y > 3x + 1 are solutions.
b)Only values that satisfy y < 3x – 3 are solutions.
c)Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.
d)There are no solutions.
Answer:
D
Step-by-step explanation:
how old is sherif now ? ahmed is eight years younger than sherif in seven years, the sum of their ages will be 7/10 th of 100
Answer:
32year
Step-by-step explanation:
let Ahmed be x years then sheriff will be x+8
in 7years time
sheriff will be x+8+7=x+15
Then Ahmed will be x+7
sum of their ages will be 7\10×100=70years
x+15+x+7=70
collect like terms
2x+22=70
2x=70-22
2x/2=48/2
x=24years
Sheriff=24+8
32years
A linear function is given by formula y= 1 2 x−2. d State the slope of the line.
Answer:
The slope is 1/2.
Step-by-step explanation:
All you have to do is see what is being multiplied by x, and that will be your slope. The number after is your "b"
What is the step by step to get this answer I got
Answer:
x = -4, -2
Step-by-step explanation:
Given equation is,
x² + 6x + 8 = 0
Let the equation to be graphed is,
y = x² + 6x + 8
y = x² + 2(3x) + 9 - 1
y = x² + 2(3x) + 3² - 1
y = (x + 3)² - 1
Table for the Input-output values
x -6 -4 -3 -2 -1 0
y 8 0 -1 0 3 8
Now we can plot these points on the graph as attached.
Since, this graph is intersecting x-axis at x = -4, -2
Therefore, solutions of the given equation will be x = -4, -2
Simplify:
1/2^ (-32+8) -(-3)^3 / 9
A: -6
B: 0
C: 6
D: 9
Answer:0
Explanation: now we are left with subtraction
Sam's parents gave him a map to reach his house. He is 1.5cm from his home. If each 3 cm on scale drawing equals 5 km, how far is he from the house?
Answer: Sam was 2.5 Km far from his house
Step-by-step explanation:
Sam's parents gave him a map to reach his house.
As per Map Sam was =1.5cm from his home.
To find actual distance from house
If we consider actual distance of sam house =X
We have,
If each 3 cm on scale drawing equals 5 km
We know on map 3cm = 5Km
If 1.5 cm = X Km
We need to cross multiple
3X =1.5 × 5
3X = 7.5
X= 7.5÷3
X= 2.5 Km
Sam was 2.5 Km far from his house.
Learn more about area here https://brainly.in/question/2001177
#SPJ9
Can someone help me please
Answer:
C
Step-by-step explanation:
you multiply 3 by 18
Answer:
C
Step-by-step explanation:
it would be C because Susan reads 1 page every 3 minutes.
she would need 3 times by any number of pages she needs to read. in our case scenario it is 18. therefore,
18x3
The proof that ΔQPT ≅ ΔQRT is shown. Given: SP ≅ SR Prove: ΔQPT ≅ ΔQRT Triangle P Q R is shown. Angle P Q R is cut by a perpendicular bisector to form midpoint T on side P R. Point S is on line Q S. Lines are drawn from points P and R to point S. Line segments P S and S R are congruent. What is the missing reason in the proof? Statements Reasons 1. SP ≅ SR 1. given 2. ST ⊥ PR 2. converse of the perpendicular bisector theorem 3. PT ≅ RT 3. ? 4. QT ⊥ PR 4. ST and QT name the same line. 5. QP ≅ QR 5. perpendicular bisector theorem 6. ΔQPT ≅ ΔQRT 6. HL theorem definition of perpendicular bisector definition of congruence reflexive property substitution property
Answer:
Answer is a
Step-by-step explanation:
Edg 2020
Answer:
Step-by-step explanation:
i think the answer is a
Someone pls help me
The slope greater than one would be the last image, because for every step in x, you get more than one y step.
The slope between 1 and 0 would be the second image
And the slope less than 0 would be the third image
Suppose that sin(a) = 4/6 and cos(b) =1/5 define in the first quadrant, determine cos(a-b). (round to 4 decimal places)
The value of the cosine of the angle of (a - b) will be 0.80.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
It is a function that repeats itself in a particular time interval.
Suppose that sin(a) = 4/6 and cos(b) = 1/5.
Then the value of 'a' is given as,
sin(a) = 4/6
sin(a) = 2/3
a = 41.81°
Then the value of 'b' is given as,
cos(b) = 1/5
b = 78.46°
Then the value of the cosine of the angle of (a - b) will be given as,
⇒ cos(41.81° - 78.46°)
⇒ cos(-36.65°)
⇒ cos 36.65°
⇒ 0.80
The value of the cosine of the angle of (a - b) will be 0.80.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ1
Someone please help me!!!!!
Step-by-step explanation:
The coordinates are (-2,-2)
I won't be able to answer bcause I don't see any question.....
What is an example of "A one-to-one function of P onto Q is an isomorphism of P and Q "?
An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
How to Identify a One-to-One Function?An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).
Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.
Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.
Read more about One-to-One Function at: https://brainly.com/question/30563810
#SPJ1
Which of the following are solutions to the inequality below? Select all that apply. 89 < 12 h
Answer:
7.4 < h
Step-by-step explanation:
89 < 12h
Divided both sides by 12
7.4 < h
The answer is:
⇨ h > 7.417Work/explanation:
The objective of this problem is to isolate the variable. So in the inequality \(\bf{89 < 12h}\), we should isolate h.
So I divide each side by 12
\(\bf{7.417 < h}\)
Hence, h > 7.417Liam works at a zoo. He was looking at some data showing the masses of their 5 African elephants. The mean mass of the elephants was 3,800 kg (kilograms), and the median mass was 3,600 kg (kilograms). The heaviest elephant, named Omar, was recorded as 6,000 kg (kilograms). Liam then found out that Omar's mass was written down incorrectly, and that Omar actually has a mass of 7,000
How will increasing Omar's mass affects the mean and median?
Choose 1 answer:
A: Both the Median and Mean will increase
B: The median will increase, and the mean will stay the same.
C: The mean will increase, and the median will stay the same.
D: The mean will increase, and the median will decrease.
Answer:
Leo has b boxes of pencils. each box contains 6 pencils. he has a total of 42 pencils. the equation that represents this situation the value of b that makes the equation true the first one is b+6=42,6b=42,b=42+6,or 42b=6 the second one are 7,836 48
Step-by-step explanation:
/
Answer:
Here's the answer! The mean will increase and the median will stay the same.
Step-by-step explanation:
The mean is the average, so if you have larger numbers, the mean will go up, since 6,000 was changed to 7,000 the mean will increase.
For the median, the median is the number in the middle so the other numbers don't really matter, because 7,000 would be the last number in the data set, (it will be last because to find the median you have to order the numbers in least to greatest) it won't change anything because, only the number in the middle numbers
Unrelated to the question but if you need to find the median and the data set has an even amount of numbers, take the 2 numbers in the "middle" and add them together and then divide them by 2.
Example: 3, 8, 17, 23
add 8 and 17 together, divide by 2, you will get 12.5
hence the median is 12.5 of the data set in the example.
Tip: if you have a larger data set, (more numbers, i'm not talking about the value of a number) try crossing out one number from each side, repeat until you get to the middle then you have your median, if there's an even amount of numbers, remember, add then divide by 2!
Hope this helps!
Dang I really took the time to type all that-
If this does help, I'd appreciate getting brainliest.
Have nice day!
What are the answers to these questions?
Step-by-step explanation:
the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.
therefore, for our example here the negative case would be
2.5x - 6.8 = -12.9
which gives us
2.5x = -6.1
x = -6.1/2.5 = -2.44
and the positive case would be
2.5x - 6.8 = 12.9
and that gives us
2.5x = 19.7
x = 19.7/2.5 = 7.88