Answer:
b) f(x) has no x^2 term
Step-by-step explanation:
The general form of a linear function is:
f(x) = ax + b
Where a and b are constant terms and x is the variable.
Option a:
This statement may or may not be true. We can have a linear function with no constant term for example f(x) = 5x is a linear function with no constant and f(x) = 5x + 5 is a linear function with a constant term. So option a cannot be the answer
Option b:
This statement is true for a linear function. x^2 term can be found in quadratic and higher degree polynomials. In linear function the power of variable must be 1.
Option c:
The function can have terms with coefficients other than 1 e.g f(x) = 5x + 5. So this is not true either
Option d:
f(x) must have x term. So this option is also not correct.
Therefore, the correct answer is option b.
Answer:
The correct statement is (b) which is f(x) has no [tex]x^2[/tex] term
Explanation:
The graph of a linear equation is a straight line. The general form of a linear equation is
ax + by + c = 0
Here, the coefficients a and b can't be zero simultaneously.
The term 'c' is a constant and can be zero.
We can see that the exponent on each variable x and y is 1. So, if the exponent in any variable is not 1 then that will not be a linear equation.
Other than this, the coefficients a and b can be zero at a time.
If a = 0 , then the x term will be zero.If b = 0, then the y term will be zero.Therefore, on the basis of these facts, we can conclude that the necessary condition for an equation is to be a linear equation is " it should not have any [tex]x^2[/tex] term"
If we have [tex]x^2[/tex] in our equation then it will be a quadratic equation.
Therefore, option b is correct.
Further Explanation:
Any function which is in the form ax+by+c=0 is called a linear function.
Linear function always represents a straight line.
The slope intercept form of a line is [tex]y=mx+b[/tex]. Here, m is the slope and b is the y-intercept.
The formula for slope of a straight is given by
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
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Keywords:
Linear equationStraight lineGeneral form of linear equationSlope intercept form of a lineA princess hat for a costume is shaped like a cone. The base of the cone is 12 in across and the height is 8
in. The slant height of the outside edge, which is unknown, is the hypotenuse of the right triangle formed with
the radius and the height of the cone.
(a) Sketch the princess hat. Label the known lengths as described and label the unknown length as x.
(b) What is the slant height of the outside edge?
Answer:
Part a) The drawn in the attached figure
Part b)The slant height of the outside edge is [tex]x=10\ in[/tex]
Step-by-step explanation:
Part a) The drawn in the attached figure
Part b) What is the slant height of the outside edge?
we have that
The diameter of the base of the cone is 12 in
so
[tex]r=12/2=6\ in[/tex] ----> the radius is half the diameter
[tex]h=8\ in[/tex]
Applying the Pythagoras Theorem find the slant height x
[tex]x^{2}=r^{2}+h^{2}[/tex]
substitute the values
[tex]x^{2}=6^{2}+8^{2}\\x^{2}=100\\x=10\ in[/tex]
Simplify √ 105 ..................................
Answer:
Simplify √ 105
A. 2√ 7
B. 2√ 3
C. √ 105
D. √ 42
Step-by-step explanation:
Answer:
[tex]\sqrt{105}[/tex]
Step-by-step explanation:
I'm not 100% sure why, but I looked it up on a scientific calculator.
Hope it helps, : )
.:!LightningBug!:.
Determine whether the relation is a function {(8, 0), (5, 4), (9, 3), (3, 8)}
Answer: It is a function.
Step-by-step explanation:
By definition, a function is a relation in which the input value (the x value) has one and only one output value (value of y).
The first number of each ordered pair is the input value and the second number of each ordered pair is the output value.
As you can see, the inputs value of the relation given in the problem have one and only one output value. Therefore, you can conclude that the relation is a function.
Plz, help with this! Find the area of the parallelogram.
Answer:
192 cm²
Step-by-step explanation:
The area (A) of a parallelogram is calculated using the formula
A = bh ( b is the base and h the perpendicular height )
here b = 24 and h = 8, hence
A = 24 × 8 = 192 cm²
find the polynomial standard form of -5q^2(-q-5)
Answer:
5q^3+25q^2
Step-by-step explanation:
I(5,3), j(5,-3), and L(-4,3) are three vertices of rectangles ljkL. What are the coordinates of the fourth vertex,of rectangle ljkL
Check the picture below.
Dan and David win some money and share it in the ratio 5:4. Dan gets £8 more than David. How much did David get?
URGENT PLEASE ANSWER AS SOON AS POSSIBLE
Answer:
David：£32
Dan：£40
Step-by-step explanation:
Which inequality represents all possible solutions of -6n < -12?
The inequality -6n < -12 has all numbers greater than 2 as its solution after isolating 'n'. We achieve this by dividing both sides by -6 and flipping the inequality sign.
Explanation:To solve this inequality, -6n < -12, you first need to isolate 'n' on one side of the inequality. We do this by dividing both sides of the inequality by -6. It's important to remember that when we divide or multiply an inequality by a negative number, we need to flip the direction of the inequality sign. So, the inequality would become n > 2. This means that all numbers greater than 2 are the solutions of the inequality.
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The adult population of a town in 2000 was 400. The child population of the town in 2000 was 120. Both the adult and child populations increased by the same percent from 2000 to 2010. If the adult population in 2000 was 500, how many children lived in the town then?
Answer:
150
Step-by-step explanation:
500 is 125% of 400 (500/400) so you need to get what 125% of 120 is
120 x 1.25 =150
^number of children ^125% as a decimal
To find the number of children after the same percent increase in population as the adults, calculate a 25% increase based on the adult growth from 400 to 500. Applying this to the original child population (120), there were 150 children in 2010.
The question pertains to the percent increase in population and requires finding the number of children in a town given the increase in adult population. Specifically, the child population in 2000 was 120, and the adult population increased from 400 to 500 from 2000 to 2010. Assuming that the child population increased by the same percent as the adult population, we need to calculate this percentage increase and then apply it to the number of children to find the updated child population in 2010.
To find the percentage increase in the adult population:
Calculate the increase by subtracting the original number from the new number (500 - 400 = 100).Divide the increase by the original number (100 / 400 = 0.25).Convert the decimal to a percentage by multiplying by 100 (0.25 × 100 = 25%).Since the child population increased by the same percentage, we then:
Apply the 25% increase to the original child population (120).Multiply 120 by 0.25 to find the increase (120 × 0.25 = 30).Add the increase to the original child population (120 + 30 = 150).Therefore, there were 150 children in the town in 2010.
HELP URGENT! WILL GIVE BRAINLIEST!!
1) What is the value of 8!?
A) 8
B) 64
C) 512
D) 40,320
2) What is the value of 5P5?
A) 5
B) 25
C) 120
D) 125
3) What is the value of 8P4?
A) 40,320
B) 1,680
C) 32
D) 24
4) What is the value of 7P7?
A) 1
B) 14
C) 49
D) 5,040
5) Four out of nine performers will be chosen to in a row on stage. How many ways can the 4 performers stand in a row?
A) 362,880
B) 347,760
C) 15,120
D) 3,024
The solutions for the given problems involving factorials and permutations are 8! = 40,320, 5P5 = 120, 8P4 = 1,680, 7P7 = 5,040 and the number of arrangement for 4 performers out of 9 is 3,024.
Explanation:The subject here is mathematics, specifically factorials and permutations. Factorials are represented by the symbol '!'. The factorial of a number n is the product of all positive integers less than or equal to n. For example, 8! = 8*7*6*5*4*3*2*1 = 40,320.
Permutations refer to the number of ways a set of objects can be arranged. 'nPn' always equals to the factorial of n, therefore 5P5 equals to 5! = 5*4*3*2*1 = 120 and 7P7 equals to 7! = 7*6*5*4*3*2*1 = 5,040.
'nPm' equals to n factorial divided by (n-m) factorial. So, 8P4 equals to 8!/(8-4)! = (8*7*6*5)/1 = 1,680.
For the last question, the number of ways 4 performers can stand in a row out of 9, is calculated as a permutation of '9P4' (because the order of performers matters). Thus, it will be 9!/(9-4)! = 9*8*7*6 = 3,024.
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A person can run 2/5 of an mile in 1/4 an hour what is their rate in miles per hour
Answer: i think its 1.6 but i could be wrong if im not im glad to help
Step-by-step explanation:
A company owns rental properties and must pay for repairs and upkeep. If the monthly maintenance costs have an average of $3500.00 and a standard deviation of $257.00, give the range of costs the company can count on having to pay about 95% of the time.
Given is - the monthly maintenance costs have an average of $3500 and a standard deviation of $257. This means that around 95% of the distributed data lies within the ranges of -257 to +257 of the given standard deviation.
Hence, range becomes :
[tex]3500-257=3243[/tex] and [tex]3500+257=3757[/tex]
Thus, the range is (3243 , 3757)
Answer:
(2996.28, 4003.72)
is 95% range.
Step-by-step explanation:
Given is -
the monthly maintenance costs have an average of $3500 and a standard deviation of $257.
If X denotes the monthly maintenance costs of the company then
X is N(3500,257)
To find out 95% of the range we have Z critical = 1.96
So lower bound of range[tex]= 3500-1.96*257[/tex] and
Upper bound [tex]= 3500+1.96*257[/tex]
Hence, range becomes :
(2996.28, 4003.72)
Tristan rode his bike 3 2/3 miles on Saturday he rode 1 4/5 Mi on Sunday how many more miles did make ride on Saturday then on Sunday
A survey asked a group of students to choose their favorite type of snack. The results of the survey are shown in the graph. Based on the graph, how many students in a class of 192 students would be expected to choose cheese that crackers?
10 students choose cheese that crackers
Answer:
Step-by-step explanation:
It's either 160 or 5 don't ask
A house has increased in value by 36% since it was purchased. If the current value is $578,000 , what was the value when it was purchased?
I hope this helps :)
Use the equation below to find y, if m=4, x = 3, and b=11.
Y = mx + b
Answer:
y = 23
Step-by-step explanation:
Assuming the equation not below is y = mx + b form...
m = 4
x = 3
b = 11
y = 4(3) + 11
y = 12+ 11
y = 23
The required value of y = 23.
Given - m = 4
x = 3
b = 11
equation is the relationship between variable and represented as is example of polynomial equation.
given equation
y = mx + b
y = 4x3 + 11
y = 12+11
y = 23
Thus, the required value of y = 23
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How can I find this answer
she can buy b and e because they are less than 50 dollars
HELP ME PLZ AS SOON AS POSIBLE
IS THIS RIGHT
YES IT IS RIGHT.YOU ARE RIGHT
Answer:
Should be A pretty sure
Step-by-step explanation:
Which inequality is equivalent to 3+4/x>=x+2/x
Answer:
The first alternative is correct
Step-by-step explanation:
We move all the expressions to the left hand side of the inequality then combine like terms using lcm;
[tex]\frac{3}{1}+\frac{4}{x}-\frac{x+2}{x}\geq0\\\\\frac{3x+4-(x+2)}{x}\geq0\\\frac{2x+2}{x}\geq0[/tex]
Answer:
the first one
Step-by-step explanation:
Express the left side as a single fraction
3 + [tex]\frac{4}{x}[/tex]
= [tex]\frac{3x+4}{x}[/tex], hence
[tex]\frac{3x+4}{x}[/tex] ≥ [tex]\frac{x+2}{x}[/tex]
Subtract [tex]\frac{3x+4}{x}[/tex] from both sides
0 ≥ [tex]\frac{x+2}{x}[/tex] - [tex]\frac{3x+4}{x}[/tex]
0 ≥ [tex]\frac{-2x-2}{x}[/tex]
Multiply both sides by - 1, remembering to reverse the inequality symbol as a consequence
0 ≤ [tex]\frac{2x+2}{x}[/tex], hence
[tex]\frac{2x+2}{x}[/tex] ≥ 0
equivalent expressions 36 + 18x
Answer:
An equivalent expression is 18(2 + x)
Step-by-step explanation:
To find this, look for the greatest common factor. Since both terms are divisible by 18 equally, we take 18 out of each term. Then we divide both terms by 18 and express in a parenthesis.
18(2 + x)
The answer is there
a drone costs 300 plus 25 for tax for each set of extra propellers. what is the cost of a drone and 4 extra set of propellers
Answer:
400
Step-by-step explanation:
The cost is arrived to by adding the initial cost of the drone to the total cost of all the extra propellers. The cost of per propeller due to tax being 25 we get the following expression.
That is: 300+ 4(25)
=400
Multiply (x^2+3x+4)(3x^2-2x+1)
Answer: option B
Step-by-step explanation:
To solve this exercise you must apply the proccedure shown below:
- Apply the Distributive property (Remember that when you multiply two powers with the same base, you must add the exponents).
[tex]b^m*b^n=b^{(m+n)}[/tex]
- Add the like terms.
Therefore, you obtain that the product is:
[tex](x^2+3x+4)(3x^2-2x+1)=3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4\\=3x^4+7x^3+7x^2-5x+4[/tex]
Answer:
B
Step-by-step explanation:
When multiplying [tex](x^2+3x+4)(3x^2-2x+1)[/tex], we can use the distributive property of multiplication over addition:
[tex](x^2+3x+4)(3x^2-2x+1)=x^2\cdot 3x^2+x^2\cdot (-2x)+x^2\cdot 1+3x\cdot 3x^2+3x\cdot (-2x)+3x\cdot 1+4\cdot 3x^2+4\cdot (-2x)+4\cdot 1=3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4.[/tex]
Now group the like terms:
[tex]3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4=3x^4+(-2x^3+9x^3)+(x^2-6x^2+12x^2)+(3x-8x)+4=3x^4+7x^3+7x^2-5x+4.[/tex]
what number of cakes sold is an outlier?
9, it’s further from the common area of plots
Answer:
9
Step-by-step explanation:
an outlier is an observation point that is distant from other observations
What would be the coordinates of the image if this pre-image is reflected across the x-axis?
(-2, 2), (1, 1), (3, 1), (2, 4)
(2, -2), (-1, 1), (-3, -1), (-2, -4)
(-2, 2), (1, -1), (3, 1), (2, 4)
(-2, -2), (-1, 1), (-3, -1), (-2, -4)
Answer:
The vertices of the pre-image are (-2, -2), (1, 1), (3, -1), and (2, -4).
Since the pre-image is reflected across the x-axis, leave each x-coordinate the same, and change the sign of each y-coordinate.
The vertices of the new image are (-2, 2), (1, -1), (3, 1), and (2, 4).
I need help. what is 9x12+16-22?
Answer:
102
Step-by-step explanation:
9*12=108
108+16=124
124-22=102
I hope this helps!
Answer:
The final answer is 102
Step-by-step explanation:
It is given that, 9 x 12 + 16 - 22
It is a simple mathematics problem,
First we have to multiply 9 and 12 , then the resultant is added to 16 and 22 is subtracted from the final result.
To solve 9 x 12 + 16 - 22
9 x 12 + 16 - 22 = (9 x 12 ) + 16 - 22
= 108 + 16 - 22 = 124 - 22 = 102
Therefore the final answer is 102
Solve the equation. −5 = c7
Answer:
[tex] c = - \frac { 5 } { 7 } [/tex]
Step-by-step explanation:
We are given the following equation and we are to solve it for [tex]c[/tex]:
[tex] - 5 = c7 [/tex]
Switching the sides of the equation we get:
[tex] c \times 7 = -5 [/tex]
Then dividing both sides of the equation by 7 to get:
[tex] \frac { c \times 7 } { 7 } = \frac { - 5 } { 7 } [/tex]
[tex] c = - \frac { 5 } { 7 } [/tex]
another name for temporary worker is
a. contingent employment
b. service employment
c. unskilled labor
Another name for temporary worker is contingent employment.
So the correct answer is A.
Hope this helps,
Davinia.
which sentence is true about a ray?
A. a ray is formed by lines that do not cross each other.
B. A ray is formed by an endpoint and a line is starting at the endpoint and going to forever in one direction.
C. a ray is formed by two lines that cross at one point.
D. a ray is formed when two points on a line are labeled
Answer:
B. A ray is formed by an endpoint and a line is starting at the endpoint and going to forever in one direction.
Step-by-step explanation:
Given choices are :
A. a ray is formed by lines that do not cross each other.
B. A ray is formed by an endpoint and a line is starting at the endpoint and going to forever in one direction.
C. a ray is formed by two lines that cross at one point.
D. a ray is formed when two points on a line are labeled
Now we need to determine about which sentence is true about a ray.
We know that a ray has one fixed end point and other point moves infinitely then correct choice is :
B. A ray is formed by an endpoint and a line is starting at the endpoint and going to forever in one direction.
what is the exact volume email of the cylinder
Answer:
A. V=BH
Step-by-step explanation:
The exact volume email of the cylinder in the image is 324π in³.
This is calculated using the formula for the volume of a cylinder:
Volume = πr²h
where:
π is a mathematical constant with the approximate value of 3.14
r is the radius of the cylinder
h is the height of the cylinder
In the image, the radius of the cylinder is 3 in and the height is 6 in. Therefore, the volume of the cylinder is:
Volume = π(3 in)²(6 in)
Volume = π(9 in²)(6 in)
Volume = 54π in³
However, the image also contains the text 324π in³.
This is the correct volume of the cylinder, as it takes into account the fact that the cylinder is hollow.
Therefore, the exact volume email of the cylinder in the image is 324π in³.
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Write a story problem about 40 apples and 17 peat
Answer:
Lets say you have 40 apples and 17 "peats". You decide to give your friend, Timmy, 2/3's of the apple, because you know that he loves apples! You also give him 2/7 of your "peats". How many apples and peats, combined, does that leave you with?
Step-by-step explanation:
There really is none.