Answers
From the table we have the points (-4, -2) and (-2, -10).
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
[tex]m=\dfrac{-10-(-2)}{-2-(-4)}=\dfrac{-10+2}{-2+4}=\dfrac{-8}{2}=-4[/tex]
Answer: The slope = -4.The slope of the linear function is -4. The correct option is B. -4.
How to find the slope of a function?The slope of a function is the rate of change of the dependent variable with respect to the change of the independent variables.
Therefore, the slope is change in the y variable with respect to the change in the x variable.
Let's find the slope of the linear function as follows:
slope = y₂ - y₁ / x₂ - x₁
Therefore,
slope = m = -10 + 2 / -2 + 4
slope = - 8 / 2'
Therefore,
slope = -4
The correct option is B. -4 .
learn more on slope here: https://brainly.com/question/28833190
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Related Questions
Omar uses 1/6 of his tickets to ride the water slide. How many tickets does he use he has 24 in total?
Answers
Have a brainy day.
[tex] \frac{24}{1} [/tex] × [tex] \frac{1}{6} [/tex] = [tex] \frac{24}{6} [/tex] = 4
your water hose is leaking at a rate of 0.25 cups per hour. how many gallons did you hose leak in a full 24 hour day
Answers
Solution:
we are given that
water hose is leaking at a rate of 0.25 cups per hour.
We have been asked to find that
how many gallons did you hose leak in a full 24 hour day.
Since water hose is leaking at a rate of 0.25 cups per hour.
It mean the tank will leak by [tex] 0.25*4=1 \ Cup [/tex] in 4 Hours.
So in 24 Hours the tank will leak by [tex] \frac{24}{4}*1=6*1=6 \ Cups [/tex] .
As we know that 1 Gallon=16 Cups.
It mean in 24 Hours the tank leaked by [tex] \frac{1}{16}*6= 0.375 \ Gallon [/tex]
BRAINLIEST!!!
What is the trigonometric ratio for sin S?
Enter your answer, as a simplified fraction, in the boxes.
Answers
Answer: [tex]\frac{8}{17}[/tex] or 8:17
Step-by-step explanation:
For any angle x (other than right angle) in a right triangle ,the trigonometric ratio of sin x is given by :-
[tex]\sin x=\frac{\text{side opposite to x}}{\text{Hypotenuse}}[/tex]
Given: A right triangle with hypotenuse = 68 units
The side adjacent to S = 60
Let h be the side opposite to S, then using Pythagoras in the given right triangle, we get
[tex](68)^2=60^2+h^2\\\\\Rightarrow\ h^2=68^2-60^2\\\\\Rightarrow\ h^2=1024\\\\\Rightarrow\ h=\sqrt{1024}=32[/tex]
Thus, the side opposite to S = 32 units
Now, the trigonometric ratio for sin S is given by :-
[tex]\sin S=\frac{\text{side opposite to S}}{\text{Hypotenuse}}\\\\\Rightarrow\sin S=\frac{32}{68}=\frac{8}{17}[/tex]
Hence, the trigonometric ratio for sin S =[tex]\frac{8}{17}[/tex] or 8:17
Help with this math question please
Answers
Interest rate = r = 6.5% = 0.065
Time in years = t = 6
Formula for compound interest is:
[tex]A=P e^{rt} [/tex]
Using the values, we get:
[tex]A=1600 e^{0.065*6}=2363.17 [/tex]
Rounding of to nearest hundredth, the balance in the account after 6 years will be $2363.17
solve. -2/5x-9<9/10 show all steps pleaseee!!
Answers
Hope this helped! ♡
-9 < 9/10 +2/5x
Subtract 9/10
-9 9/10 < 2/5x
Multiply by 5/2
(-99/10)*(5/2) < x
-99/4 < x
or, if you prefer, ...
-24 3/4 < x
A box contains 3 red balls, 2 white balls, and 5 black balls. two balls are drawn at random from the box (with replacement of the first before the second is drawn). what is the probability of getting a red ball on the first draw and a white ball on the second?
Answers
Find the volume of the tetrahedron having the given vertices. (3, −1, 1), (5, −2, 4), (1, 1, 1), (0, 0, 1)
Answers
A(3,-1,1), B(5,-2,4), C(1,1,1), D(0,0,1)
The simplest method is to use vectors.
Here, we calculate the volume of a parallelepiped defined by vectors AB, AC, AD. The volume of a tetrahedron is one-sixth of the volume of the parallelepiped, V, given by AB.(ACxAD).
Here are the steps:
1. Choose a vertex, say A. Calculate vectors AB, AC and AD
AB=(5-2,4)-(3,-1,1) = <2, -1, 3>
AC=(1,1,1)-(3,-1,1) = <-2, 2, 0>
AD=(0,0,1)-(3,-1,1) = <-3, 1, 0>
2. Calculate vector cross product ACxAD = <-2,2,0>x<-3,1,0>
i j k
-2 -2 0
-3, 1, 0
=<0-0, 0-0, -2-(-6)>
= <0, 0, 4>
3. Calculate volume of parallelepiped, equal to the dot product AB.(ACxAD), ignore sign, which is arbitrary.
V = |<2, -1, 3>.<0,0,4>| = |12| = 12
4. Calculate volume of tetrahedron, which is one-sixth of volume of parallelepiped
V(tetrahedron) = V/6= 12/6 = 2
!Thanks in advance!
One side of a square is 2^3 inches.
What would be the area of the square?
*Solve the equation of 2^3 first*
Answers
First solving the equation 2^3 . . .
To solve 2^3, multiply the number 2 three times:
2 x 2 x 2 = 8
To find area, multiply the two sides . . .
(Since a square has all sides the same length, multiply 8 x 8)
8 x 8 = 64 <-------
The area of the shape is 64 inches.
Hope this helps you.
Have a great day!
Sean tried to drink a slushy as fast as he could. He drank the slushy at a constant rate. There were originally 275 milliliters of slushy in the cup. After 13 seconds, 210 milliliters remained. How long did it take Sean to drink all the slushy?
Answers
Answer: It took Sean 55 seconds to drink all the slushy
Solution:
Original Volume: Vo=275 milliliters
After t1=13 seconds, 210 milliliters remained: V1=210 milliliters
He drank the slushy at a constant rate: r
Sean drank V=Vo-V1=275 milliliters-210 milliliters→V=65 milliliters
r=V/t1
r=65 milliliters / 13 seconds
r=5 milliliters/second
Sean will drink the remained volumen in a time t2:
t2=V1/r
t2=210 milliliters / (5 milliliters/second)
t2=42 seconds
Total time to drink: t
t=t1+t2
t=13 seconds + 42 seconds
t=55 seconds
Answer:
Sean drank at a rate of 5 milliliters per second.
It took Sean 55 seconds to drink all the slushy.
Step-by-step explanation:
Hope it helps in the picture below.
which number is least to greatest 42%,0.43,17/40
Answers
Hope I helped!
Let me know if you need anything else!
~ Zoe (Rank:'Genius')
which of the following statements are true? check all that apply
Answers
Answer with explanation:
Mean of this data set
[tex]=\frac{\text{sum of all the observation}}{\text{Total number of observation}}\\\\=\frac{30+37+37+41+22+69+45+64+51+22+63+31+64+65+25+51+26+48+28+49}{20}\\\\=43.4[/tex]
Arranging the data set in ascending order
22, 22,25, 26, 28,30,31,37,37,41,45,48,49,51,51,63,64,64,65,69
Median =Middle observation ,if number of terms is odd
and if number of terms is even, divide number of terms by ,2 and then follow the procedure
[tex]=\frac{10^{th term}+11^{th term}}{2}\\\\=\frac{41+45}{2}\\\\=43[/tex]
To find the Outlier
[tex]Q_{1}=\frac{28+30}{2}=29,Q_{3}=\frac{51+63}{2}=57[/tex]
Interquartile range = 57 - 29=28
Data values are approximately equally distributed on both sides of median.
That is, 43-22=21, and ,69 -43=26
So,we can say that there will be no outliers.
Graph will be positively skewed.
Mean > Median
So,mean will be better measure of central tendency because, 43.4-22=21.4, and 69-43.4=25.6
Option A: There are no outliers.
And, Option C: The Mean is good measure of central tendency.
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 8 cm
Answers
8 cm and 8 cm
_____
Sometimes, the triangle inequality is expressed as
a + b ≥ c
For that version, all except the 3rd choice would be viable.
Answer:
D
Step-by-step explanation:
help me please show ur work
Answers
So according to the equation x.3/4x = 432
x^2. 3/4 =432
x^2 =432 times 4/3
x^2 =1728/3 =576
x= 24
The length is 24 ft
a leatherback turtle swims at a constant rate of 2.5 kilometers per hour, at its constant rate of speed how long will it take for a leatherback turtle to swim 10 kilometers?
Answers
So, if this turtle is only going 2.5 miles per hour. This would mean that (EACH) hour, this turtle only arrived 2.5 miles. So, we do,
[tex]\boxed{10.0 \left \{ {{2.5+2.5=5.0} \atop {2.5+2.5=5.0}} \right.}[/tex]
We would have to count how many ("2.5's" they are above.)
We count only 4.
I would take this turtle 4 miles to swim 10 kilometers.
What is the Pythagorean Theorem and what is the equation for it?
Answers
The Pythagorean Theorem is quite simply a mathematical equation used to determine the third side of a triangle. It can be used to find out ANY side of a given triangle.
For example, if you are given the hypotenuse of a triangle, as well as another leg, then you can quite simply plug everything in!
Here is the equation :
a² + b² = c²
Where :
a = random leg of the triangle
b = another random leg of the triangle
c = hypotenuse of the triangle
I've given you an example for future references, placed down below :)
~I hope this helped!~
how do you solve 7 over 20=?
Answers
△ABC is reflected to form △A′B′C′ .
The vertices of △ABC are A(−7, 1) , B(−5, −3) , and C(−3, 2) . The vertices of △A′B′C′ are A′(−7, −1) , B′(−5, 3) , and C′(−3, −2) .
Which reflection results in the transformation of △ABC to △A′B′C′ ?
A)reflection across the x-axis
B) reflection across the y-axis
C)reflection across y = x
D)reflection across y=−x
Answers
Answer:
The correct option is A.
Step-by-step explanation:
The vertices of △ABC are A(−7, 1) , B(−5, −3) , and C(−3, 2) . The vertices of △A′B′C′ are A′(−7, −1) , B′(−5, 3) , and C′(−3, −2) .
The relation between coordinates of preimage and image is defined as
[tex](x,y)\rightarrow (x,-y)[/tex]
Sign of y-coordinate changes but x-coordinate remains the same. It is possible it the figure is reflection across the x-axis.
Therefore the correct option is A.
Find f(1/4) when f(x)=2x^2+9x-7
Answers
To find f(1/4) when f(x)=2x^2+9x-7, substitute x=1/4 into the function and simplify.
Explanation:To find f(1/4) when f(x) = 2x² + 9x - 7, we substitute x = 1/4 into the function.
Plugging in the value of x, we have f(1/4) = 2(1/4)² + 9(1/4) - 7.
Simplifying the expression, we get f(1/4) = 2/16 + 9/4 - 7. Evaluating the fractions and subtracting, we find that f(1/4) = -45/16.
Learn more about function evaluation here:https://brainly.com/question/12056604
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solve equations using addition x+y=5 and x-y=3
Answers
x - y = 3 ----------- (2)
(1) + (2):
2x = 8
x = 4 ----------- sub into (1)
4 + y = 5
y = 5 - 4
y = 1
Ans: x = 4, y = 1
These are the first sentences in the short story, “The Gift of the Magi,” by O. Henry: one dollar and eighty-seven cents. That was all. And sixty cents of it was in pennies.” A. Simplify the equation that represents the value of the coins. Make it an equation that expresses the value of quarters, dimes, and nickels. B. Is it possible to have exactly 60 pennies in $1.87? Explain.
Answers
Answer:
From the given problem statement of the this question,the amount of the gift is 1 dollar and sixty cents
x=60*B
Yes is it possible to have 60 pennies in $1.87
Compare the Triangle Proportionality Theorem and the Triangle Midsegment Theorem.
Answers
If a line is parallel to one side of a triangle and intersects the other two sides, then it divides the sides into segments of proportional lengths.
The stopping distance s of a car varies directly as the square of its speed v. If a car traveling at 20 mph requires 28 ft to stop, find the stopping distance for a car traveling at 55 mph
Answers
Please help!! Dexter made a frequency distribution, setting up groups for the data shown.
His first group was for 20-24. What was the frequency of his forth group?
42 33 28 27 51 29 31 42 38 49 35 30 22 27 26 41 47 33
Answers
The frequency of Dexter's fourth group (35-39) in his frequency distribution is 2. This was determined by counting the numbers within the 35-39 range from the provided data set.
Calculating the Frequency of the Fourth Group:
To calculate the frequency of the fourth group in Dexter's frequency distribution, let's first establish the groups.
First Group: 20-24Second Group: 25-29Third Group: 30-34Fourth Group: 35-39Next, we'll count how many data points fall within each range:
3538Thus, there are 2 data points in the fourth group (35-39).
Given: ΔXYZ
AB is a midsegment parallel to XZ. The slope of XZ is 4.
What is the slope of AB?
Answers
we know the slope of XZ, and we know AB is parallel to XZ, well, parallel lines have the same slope.
Since AB is a midsegment parallel to XZ, its slope and the slope of XZ are the same.
Use the inverse of the function y = x2 − 18x to find the unknown values. y=+/= square root of bx+c+d
Answers
We look for the inverse of the function.
To do this, let's determine the value of x:
y = x2 - 18x
y = (x + (-18/2)) ^ 2 - ((-18) ^ 2/4) + 0
y = (x - 9) ^ 2 - 81
y + 81 = (x - 9) ^ 2
+/- root (y + 81) = (x - 9)
+/- root (y + 81) + 9 = x
We return the change:
f (x) ^ - 1 = +/- root (x + 81) + 9
Therefore, the values sought are:
b = 1
c = 81
d = 9
Answer:
f (x) ^ - 1 = +/- root (x + 81) + 9
b = 1
c = 81
d = 9
The inverse of a function is its opposite
The values of the unknown are: b = 1, c = 81 and d = 9
The function is given as:
[tex]y = x^2 - 18x[/tex]
Rewrite the equation in vertex form as:
[tex]y = (x - 9)^2 - 81[/tex]
Swap the positions of x and y
[tex]x = (y - 9)^2 - 81[/tex]
Add 81 to both sides
[tex](y - 9)^2 = x + 81[/tex]
take the square roots of both sides
[tex]y - 9 = \pm\sqrt{x + 81}[/tex]
Add 9 to both sides
[tex]y = \pm\sqrt{x + 81} + 9[/tex]
By comparison, the values of the unknown are:
b = 1, c = 81 and d = 9
Read more about inverse functions at:
https://brainly.com/question/14391067
Katie filled a measuring cup with 9/10 of a cup of vegetable oil. Then she poured 1/4 of a cup of the oil into a frying pan. How much oil is left in the measuring cup? Simplify your answer.
Answers
The answer is "4/5".
Reason:
First write the equation:
9*4=36
10*4=40
-
1*4=4
4*10=40
36-4=32
32/2=16/2=8/2=4
40/2=20/2=10/2=5
=4/5
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
an athlete is training to run a marathon. she plans to run 2 miles the first week. she increases the distance by 8% each week. whixh function models how far she will run in the nth week
Answers
nth=ae^(bx)
nth=2e^(0.08x)
where x is the nth time.
A circle has an area 324 pi cm. What is the radius?
Answers
if area is given as [tex]324 \pi [/tex]
then r² = 324
r = √324
r = 18 cm
Ans: The radius is 18 cm
The radius of the circle with an area of 324π sq cm is 18 cm.
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
We know, The area of a circle is πr².
So, We can equate the given area with the general formula,
324π = πr².
r² = 324.
r = 18 cm.
A clock can be thought of as a circle having 12 steps and we know that circle is 360°,
So, the measure of each integer step of a clock is 30°.
Also, If we want to find some portion(arc) of the circumference we use the formula, s = rФ.
learn more about circles here :
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True Or False
The term software refers to everything from the machine’s operating system (OS) to the individual programs and applications you use to write, listen, speak, sing, or learn.
Answers
Write the fraction as money amount 65/100