Two linear functions are displayed. Function One is represented by the graph:
A linear function is graphed in the coordinate plane with a slope of two and a y-intercept of zero.
The second linear function is y = -4x. Which statement is true about the slope of the two functions?
Answers
The statement that is true about linear functions is the slope of function one is positive and the slope of function two is negative. The correct option is A.
What is a linear function?A graph that has a straight line is called a linear function.
Given:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Given that the 1st graph has a positive slope; as x increases, the y-value also increases. So, the 1st graph should have a positive slope.
The given equation is our second line;
y = -4x
Using,
y = mx + b
We see that our slope m = -4. Therefore, the 2nd graph has a negative slope.
Therefore, the correct option is A.
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The question is incomplete. Your most probably complete question is given below:
A) The slope of function one is positive and the slope of function two is negative.
B) Both functions have a negative slope.
C) Both functions have a positive slope.
D) Both functions have the same slope.
Related Questions
PLEASE ANSWER ILL GIVE MY LEFT KIDNEY, MOST BRAINLIEST AND 50 POINTS. plane x and plane y are parallel and plane z intersects plane x. Line ab is in plane x line cd is in plane y and line ef is in plane z. Determine whether each statement is always, sometimes, or never true. Justify your answer.
A) Line AB is skew to Line CD
B) Line AB intersects Line EF
Answers
Line AB is always skew to line CD as the two lines are in different planes.
Line AB will sometimes intersect line EF as the two planes intersect at some point.
We know that a plane represents a 2 dimensional surface in a 3 dimensional area.
A plane is a two-dimensional, flat surface in mathematics that never ends. A plane is a point's (zero dimensions), a line's (one dimensions), and space's (three dimensions) two-dimensional equivalents. A plane may appear as a subspace of a higher-dimensional space, such as the indefinitely long wall of a room, or it may enjoy a separate status in and of itself, such as in the context of two-dimensional Euclidean space.Now it is given that planes x and y are parallel to each other, therefore they will never intersect at any place.
Now two separate lines on these two separate planes will also not intersect with each other as they are on different planes and the ploanes do not meet.
Hence Line AB is always skew to line CD as the two lines are in different planes.
Again for Line AB it will intersect EF as the plane z intersects the plane x on which the line AB is located.
We know that the lines can still be skew lines but there is a possibility that they will meet.
Hence Line AB will sometimes intersect line EF as the two planes intersect at some point.
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solve for x.
A) x = 11
B) x = 21
C) x = 17
D) x = 8
Answers
Answer:
A. x = 11
Step-by-step explanation:
so, the angle D corresponds to angle T.
therefore, the side BD corresponds to RT.
and CD to ST.
since both triangles are similar, they must have the same angles, and all corresponding sides and other lengths must have the same scaling factor.
so,
RT × f = BD
and the same f must then apply to
ST × f = CD
21 × f = 98
f = 98/21 = 14/3 = 4.666666666...
33 × 14/3 = 15x - 11
11 × 14 = 15x - 11
154 = 15x - 11
15x = 165
x = 11
A baby weights 7 1/8 pounds at birth. After 4 months the baby weighs 15 2/3 pounds. How much weight did the baby gain
Answers
Answer: = 8.54166666667
Step-by-step explanation:
15 2/3 - 7 1/8
what is the equation is x+9<2
Answers
Answer: Look at image
Step-by-step explanation: Look at image
[tex]x+9 < 2[/tex]
Subtract 9 from both sides:
[tex]x+9-9 < 2-9[/tex]
[tex]x < -7[/tex]
(6.18 × 10¯¹) (8.7 x 10²)
Answers
Answer:
(6.18 × 10¯¹)=(0.618) (8.7 x 10²)=(870) so 0.618+870 is 870.618
Step-by-step explanation:
Hello could you please help me with question number 10?
Answers
Exponential Model
Some phenomena can be modeled as an exponential function of the form:
[tex]P=P_o(1+r)^t[/tex]Where Po is the initial value, r is the rate of change, and t is the time.
If the value of P decreases in time (decaying function), then r is negative. If the value of P increases in time (growth), then r is positive.
We know an investment of Po=$4500 has been losing value (decay) at a rate of r = -2.5% = -0.025 each year.
The value of the investment when t = 5 years is:
[tex]P=4500(1-0.025)^5[/tex]Calculating:
[tex]\begin{gathered} P=4500(0.975)^5 \\ P=4500\cdot0.8810957 \\ P=3964.93 \end{gathered}[/tex]The investment will be worth $3964.93 in 5 years
At 59°F, crickets chirp at a rate of 76 times per minute, and at 65°F, they chirp-100 times per minute. Whats the input
Answers
We have a relationship between temperature and chirp rate, such that the input in this case is the temperature.
What is the input?
We define a relation as an operator that maps elements from one set (the domain, set of the inputs) into elements of another set (the range, set of the outputs).
Particularly, the relations are written as:
x → y
Where y is the output and x is the input.
In this case, we have two pairs of the relation, these are:
At 59° F, the chirp rate is 76 times per min.At 65° F, the chirp rate is 100 times per min.So we are giving the temperature as the input, and the output is the chirp rate of the crickets at that particular temperature.
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First derivative of f(x) = (5x + 3)^3
Answers
Answer:
f'(x) = 15(5x + 3)²
Step-by-step explanation:
using the chain rule to differentiate
f(x) = g(h(x) , then
f'(x) = g'(x) × h'(x)
f(x) = (5x + 3)³
f'(x) = 3(5x + 3)² × [tex]\frac{d}{dx}[/tex] (5x + 3)
= 3(5x + 3)² × 5
= 15(5x + 3)²
You need a 70% alcohol solution. On hand, you have a 150 mL of a 15% alcohol mixture. How much pure alcohol will you need to add to obtain the desired solution?
Answers
Answer: you have to add 60 mL of the 70% solution.
Step-by-step explanation:
If you have 180 mL of a 30% alcohol mixture, then (180mL)(0.30) = 54mL of that solution is alcohol.
Similarly, if you have x mL of a 70% alcohol mixture, then (x mL)(0.70) = 0.70x mL of that solution is alcohol.
When you combine these two liquids, you will have (180 + x) mL of liquid and you want it to be 40% alcohol.
So, you simply need to solve the equation:
180(0.30) + x(0.70) = (180 + x)(0.40)
54 + 0.70x = 72 + 0.40x (distribute the 0.40)
0.30x = 18 (subtract 54 from both sides and subtract 0.40x from both sides)
x = 60
So, you have to add 60 mL of the 70% solution.
Hope this helps! :)
Solve x² - 2x - 23= 0, giving your answers correct to one decimal places
Answers
Answer:
x ≈ - 3.9 , x ≈ 5.9
Step-by-step explanation:
x² - 2x - 23 = 0 ( add 23 to both sides )
x² - 2x = 23
using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 1)x + 1 = 23 + 1
(x - 1)² = 24 ( take square root of both sides )
x - 1 = ± [tex]\sqrt{24}[/tex] ( add 1 to both sides )
x = 1 ± [tex]\sqrt{24}[/tex]
then
x = 1 - [tex]\sqrt{24}[/tex] ≈ - 3.9 ( to 1 dec. place )
x = 1 + [tex]\sqrt{24}[/tex] ≈ 5.9 ( to 1 dec. place )
Based on only the info given and what you see in the picture, which pair(s) of angles and which pair(s) of sides are congruent? DONT SAY ED & AB
Answers
Answer:
EC and CB
DC and AC
Angle DCB and Angle ECA
Step-by-step explanation:
Line EC and Line CB both have the same measure of 32ft.
Line DC and Line AC both have the same measure of 28ft.
The angles are the sum of the same measures.
please help tomorrow is my exam
Answers
The radius of the pond is found to be 17.32m.
What is angle of elevation?
The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.
Given;
Length of the pole above= 30m
Angle of elevation = 60°
From the given information we can draw the diagram as the pole becomes the opposite of the angle of elevation and radius becomes the base.
Therefore,
Opposite / Base = tan 60°
=> base = 30 / √3
=> base = 17.32m
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Please help me with this!!
Answers
Answer: 33 in.
Step-by-step explanation: If the triangles are similar, you have to compare the same sides and find the scale. If you rotate the image, you see the 6 is the same side as the 18. A scale of 18:3 is the same as 3:1. Using this, you can see the missing side and 11 are the same, so you multiply the 11 by 3 to gett 33 as the length, and in. as your label.
I hoped this help and if I could get brainliest that would be nice <3
Answer
Step-by-step explanation:
What is the equation of the line that passes through the point (−2,−6) and has a slope of -1/2
Answers
is -70 a integer or rational number
Answers
All integers are rational numbers because Integers are the set of numbers including all the positive counting numbers, zero as well as all negative counting numbers which count from negative infinity to positive infinity. The set doesn't include fractions and decimals. So, in most cases it would be both. However, in this case they are integers.
Answer:
all integers are rational numbers
Step-by-step explanation:
Alex bought 6 books for 8 dollars. He had 20% off the total cost ($8) how much did he pay for the books? It’s asking to write it up in 2 decimal places
Answers
SOLUTION
The total cost of the books is $8
Calculating 20% off gives
[tex]\begin{gathered} 8-20\%\times8 \\ =8-1.6 \\ =6.4 \end{gathered}[/tex]Therefore the amount paid is $6.40
PLEASE HURRY! I'LL GIVE BRAINLIEST
James reads at a constant rate that allows him to read 4 chapters each week. He begins reading a book that has 42 chapters. Which equation models the number of chapters James still has left to read, y, after x days?
y=42-4/7x
y=42-7x
y=42-4x
y=42-7/4x
Answers
Answer:
it is a. hope it helps
Step-by-step i think
There are 60 in one hour.How many minutes are in 1 1/4 hours ?
Answers
Answer:
75
Step-by-step explanation:
Answer: 11/4
Step-by-step explanation:
11/4x60/60=11/4
Evaluate the numerical expression open parentheses 3 to the power of 2 close parentheses to the power of one third. 3 cube root of 9 cube root of 128 square root of 9
Answers
The simplified expression for this problem is given as follows:
(3²)^(1/3) = 3^(2/3) = [tex]\sqrt[3]{9}[/tex]
What is the power of a power rule?The power of a power rule is used when a single base is elevated to multiple exponents.
Then the simplified expression is obtained keeping the base, while the exponents are multiplied.
The exponents for this problem are given as follows:
2 and 1/3.
Hence the product is of:
2 x 1/3 = 2/3.
Converting the fractional exponent to a rational expression, we have that:
3^(2/3) = [tex]\sqrt[3]{3^2} = \sqrt[3]{9}[/tex]
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malik is younger than daniel. their ages are consecutive integers. find malik’s age if the product of their ages is 42.
Answers
Answer:
go to gogle
Step-by-step explanation:
The consecutive age is 6 and 7 and Malik is 6 years old.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let their Consecutive age be x, x+1
So, x(x+ 1)= 42
x²+ x - 42 = 0
x² + 7x- 6x - 42=0
x( x+ 7)- 6 ( x+ 7)= 0
(x+ 7)( x-6)= 0
x = 6, -7
Hence, the consecutive age is 6 and 7.
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please help me with this please
Answers
Answer:
Slope-intercept form: y = 9/4x - 53/4
Point-slope form: y + 2 = 9/4(x - 5)
y varies directly as x. y = 60 when x = 5. Find y when x = 17. Y=
Answers
Answer:
204
Step-by-step explanation:
Hello!
If y varies directly with x, that means y is a result of multiplying a number by x.
When x is 5 and y is 60, x is being multiplied by 12 to get y. That means, the direct variation equation is y = 12x.
Replace 17 with x to find y.
Evaluatey = 12x; x = 17y = 12(17)y = 204The value of y when x is 17 is 204.
I can find percentages and values using the 68-95-99.7 rule, z-scores, and the standard normal distribution.only answer please if you know the answer
Answers
Let X be the weight of fish in the lake.
Given that the mean and standard deviation as 20 and 6 respectively,
[tex]\begin{gathered} \mu=20 \\ \sigma=6 \end{gathered}[/tex]Consider the formula,
[tex]z=\frac{x-\mu}{\sigma}[/tex]The proportion of fish weighing less than 15 pounds is calculated as,
[tex]\begin{gathered} P(X<15)=P(z<\frac{15-20}{6}) \\ P(X<15)=P(z<-0.83) \\ P(X<15)=P(z<0)-P(-0.83From the Standard Normal Distribution Table,[tex]\emptyset(-0.83)=0.2967[/tex]Substitute the value,
[tex]\begin{gathered} P(X<15)=0.5-0.2967 \\ P(X<15)=0.2033 \end{gathered}[/tex]Mulyiply by 100 to get the equivalent percent,
[tex]P(X<15)=20.33\text{ percent}[/tex]Thus, 20.33% of fish in the lake will weigh less than 15 pounds.
Which point lies on the line with a slope of m = ⅔ that passes through the point (-3, -2)?
Answers
Answer:
Step-by-step explanation: you would use point form slope in the equation and plug it in like this
y+2= 2/3(x+3)
y+2=2/3x+2
y= 2/3x
and whatever point goes through this line is your answer
Remember the y-intercept is 0!
what is 220/275 simplified?
Answers
Answer:
4/5, 0.8 decimal form
Step-by-step explanation:
Hope this helps
Marco needs to buy some cat food. At the nearest store, 2 bags of cat food costs $9.50. How much would Marco on 3 bags?
Answers
Answer:
$14.25 for 3 bags
Step-by-step explanation:
First of all, the question is stating that 2 bags of cat food cost $9.50. This means each bag (1 bag) would cost ($4.75) So u would multiply that by 3, which is easy!
Angelina bought a 64-ounce can of lemonade mix.She uses 4 ounces of mix for each pitcher of lemonade.How many pitchers of lemonade can Angelina make from the can of mix?
Answers
Answer:She can make 16 pitchers of lemonade
Step-by-step explanation:
1. Divide the amount of ounces needed for one pitcher of lemonade by the amount of ounces she has to get 16 pitchers of lemonade.
Find the average rate of change
Answers
The average rate of change is D. 2.
What is the average rate of change?The average rate of change simply means the measure of how the function will change let unit of time.
In this case, it is important to look at the input and the output that wee given. It can seen that the difference between the output is given as:
13 - 11 = 2
15 - 13 = 2
In this case, the average change is 2.
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consider the matrices. what are the dimensions of the project matrix of two of these matrices
Answers
When multiplying matrices, we have the following rule:
If the first matrix dimensions are 'a' and 'b' (that is, it has 'a' rows and 'b' columns) and the second matrix dimensions are 'c' and 'd', the product is only possible if we have b = c. Also, the resulting matrix dimensions will be 'a' and 'd'.
Knowing that rule, we have that:
[tex]\begin{gathered} A\to3x1 \\ B\to2x2 \\ C\to2x3 \\ D\to2x1 \\ \\ BD=2x2\cdot2x1\to2x1 \\ CA=2x3\cdot3x1\to2x1 \\ BC=2x2\cdot2x3\to2x3 \end{gathered}[/tex]Hannah is the oldest of four siblings whose ages are consecutive integers. If the sum
of their ages is 86, find Hannah's age.
Answers
Four siblings whose ages are consecutive integers. If the sum of their ages is 86 then The eldest sibling is 20, followed by siblings 21, 22, and 23.
What is consecutive integers ?Consecutive means in order. Integers are a collection of whole integers and their antipodes, such as -3, -2, 1, 0, 1, 2, 3, etc.
Let x = the one sibling
Let x + 1 = the second sibling
Let x + 2 = the third sibling
Let x+4 = the fourth sibling.
If you add the four siblings together they equal 86
(x) + (x +1) + (x + 2) + (x+3) = 86 I put the parentheses in so that you can see each sibling, but it is not needed.
x + x+ 1 +x + 2 + x+ 3 = 86 Combine like terms
4x + 6 = 86 Subtract 6 from both sides
4x = 80
x = 20
The eldest sibling is 20, followed by siblings 21, 22, and 23.
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