The table represents a linear function.What is the slope of the function?y08-2.04х-4-2-112-10-14-22-26O 2O 5
Answers
Answer
Option B is correct.
The slope of this function = -4
Explanation
For a linear function, the slope of the line can be obtained when the coordinates of two points on the line or the values of the linear function (y) at different values of x are known. If the two points are described as (x₁, y₁) and (x₂, y₂), the slope is given as
[tex]Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}[/tex]Using the two extreme points, (x₁, y₁) and (x₂, y₂) are (-4, -2) and (2, -26).
x₁ = -4
y₁ = -2
x₂ = 2
y₂ = -26
[tex]\text{Slope = }\frac{-26-(-2)}{2-(-4)}=\frac{-26+2}{2+4}=\frac{-24}{6}=-4[/tex]Hope this Helps!!!
Related Questions
how many drahms areequivalent to 300 grains?
Answers
hello
to solve this question, we need to know how many grains is in 1 gram
[tex]\begin{gathered} 1\text{grams}=15.43\text{grains} \\ \end{gathered}[/tex]now let 300 grains be equal to x grams
[tex]\begin{gathered} 1\text{grams}=15.43\text{grain} \\ \text{xgrams}=300\text{grains} \\ \text{cross multiply both sides and solve for x} \\ x\times15.43=1\times300 \\ 15.43x=300 \\ \text{divide both sides by 19.44} \\ \frac{15.43x}{15.43}=\frac{300}{15.43} \\ x=\frac{300}{15.43} \\ x=19.44 \end{gathered}[/tex]300 grains will weigh 19.44g
Кр2.345 67 8Identify each angle as acute, obtuse, or right123345678.
Answers
we have the following:
Therefore:
Forproblems 5-10, determine what type of symmetry each figure has. If the figure has line symmetry, determine how many lines of symmetry the figure has. If the figure has rotational symmetry, determine the angle of rotational symmetry and if the figure also has point symmetry. (A figure can have both line and rotational symmetries or neither of these symmetries)
Answers
7. The figure has line and rotational symmetries. There are 2 lines of symmetry. The angle of symmetry is 180°
8. The figure has no symmetry
nd the Geometry meand of 4 and 15.
Answers
we know that
the geometric mean is the product of all the numbers in a set, with the root of how many numbers there are
so
In this problem we have two numbers
so
the geometric mean is equal to
[tex]\begin{gathered} \sqrt[=]{4\cdot15} \\ \sqrt[]{60} \\ 2\sqrt[]{15} \end{gathered}[/tex]6.724x
Melinda went for a run. She was doing a great job until she got to a hill. She was so tired
running up the hill that she tripped over a rock at the top of the hill. She rolled all the way
down the hill. It took her 90 seconds to reach the bottom of the hill. She rolled for 225
feet. What is Melinda's rate of decent?
Answers
The Melinda's rate of decent from the top of the hill is 3.75 ft/sec.
What is termed as the rate of decent/speed?Speed is defined as the proportion of distance traveled to time spent traveling. Because it has only one direction and no magnitude, speed is a scalar quantity. When an object travels the same distance in equal time intervals, it is said to be moving at a uniform speed.For the given question;
The distance covered by the Melinda after she tripped over a rock at the top of the hill is 225 feet.
The time taken by Melinda to reach the bottom of the hill is 90 seconds.
Then, the rate of decent will be the speed at which she will fall.
Speed = distance/ time
Speed = 225/60
Speed = 3.75
Thus, the Melinda's rate of decent from the top of the hill is 3.75 ft/sec.
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HELP ME OUT PLEASE!!!!!!
Answers
Answer:
The First one (1.7,3.1)
Step-by-step explanation:
3x-2=-0.5x+4
3.5x=6
x=12/7
x≈1.7
sub x back into to find y
y≈3.1
A cylinder truck all paint cans to be inches across the top diameter in about 10 inches high. How many cubic inches of pink it all to the nearest hundredth?
Answers
Given:
A cylinder truck all paint cans to be inches across the top diameter in about 10 inches high.
[tex]\begin{gathered} r=1.5in \\ h=10in \end{gathered}[/tex]Required:
To find the volume of the cylinder.
Explanation:
The volume of the cylinder is,
[tex]V=\pi r^2h[/tex]Therefore,
[tex]\begin{gathered} V=3.14\times1.5^2\times10 \\ \\ =3.14\times2.25\times10 \\ \\ =70.65in^3 \end{gathered}[/tex]Final Answer:
70.65 cubic inches of paint it hold.
Hi. I can send a picture. can you help? thank u
Answers
we have the equation
y=x^2-6x+2
this equation represents a vertical parabola open upward (because the leading coefficient is positive)
that means
the vertex is a minimum
Convert to vertex form
y=a(x-h)^2+k
where
(h,k) is the vertex
Complete the square
y=(x^2-6x+9)+2-9
y=(x-3)^2-7
therefore
the vertex is (3,-7)
the answer is the option AA random number generator is used to select an integer from 1 to 100 (inclusively). What is the probability of selecting the integer 730?
Answers
If a random number generator is used to select an integer from 1 to 100, then the probability of selecting the integer 730 is zero.
Here a random number generator is used to select an integer from 1 to 100.
Therefore the range of the outcome = 1 to 100
Here we have to find the probability of selecting the integer 730
The probability = Number of favorable outcomes / Total number of outcomes.
Here a random number generator is used to select an integer from 1 to 100, but the given number is 730 which is out of range. Therefore the probability is zero
Hence, if a random number generator is used to select an integer from 1 to 100, then the probability of selecting the integer 730 is zero.
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A machinist must follow part drawing with scale 1 to 16. Find the dimensions (in inches) of the finished stock shown in the figure. That is find the lengths A, B, C, and D.
Answers
Length of the dimensions of the finished stock shown are as follow:
A = 13/4 inches , B = 3/4 inches , C =5/2 inches , D = 3/16 inches.
As given in the question,
Mechanist must follow part drawing with scale 1 to 16.
Dimensions of the finished stock shown in the figure
A represents the length .
B represents the height
C represents the length
D represents the height
Length of A is
= 3 1/4 inches
= 13 /4 inches
Height of B is
=3/4 inches
Length of C is
= 2 1/2 inches
= 5/2 inches
Height of D is
= 3/16 inches
Therefore, length of the dimensions of the finished stock shown are as follow: A = 13/4 inches ,B = 3/4 inches ,C =5/2 inches , D = 3/16 inches.
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The table shows claims and their
probabilities for an insurance
company.
Amount of claim
(to the nearest $20,000)
$0
$20,000
$40,000
$60,000
$80,000
$100,000
Probability
0.70
0.16
0.09
0.03
0.01
0.01
Answers
Answer:
Step-by-step explanation:
This is an equation! Solutions: x=1.
Graphical form: Equation 3%2Ax-x%2B2=4 was fully solved.
Text form: 3*x-x+2=4 simplifies to 0=0
Cartoon (animation) form: simplify_cartoon%28+3%2Ax-x%2B2=4+%29
For tutors: simplify_cartoon( 3*x-x+2=4 )
If you have a website, here's a link to this solution.
By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of:
federalism
individual rights
checks and balances
republicanism
Answers
By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of: D. republicanism.
What is federalism?Federalism simply refers to a form of government in which the federal government and other institutional bodies such as states, towns, smaller units, and provinces share power and authority.
What is republicanism?Republicanism can be defined as a form of government that is centered around citizenship in a state and emphasizes their participation for the common good of a geographical area such as states, towns, and other smaller units in a colony.
This ultimately implies that, republicanism involves citizens selecting their representatives (delegates) from each town in a colony, especially through an electoral process such as in Article 8, Fundamental Orders of Connecticut.
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Answer:
republicanism
Step-by-step explanation:
Solve the equation using the justification given for each step.
Answers
Multiplicative property of equality
[tex]\begin{gathered} Multiply\text{ both sides by 3} \\ (5x+7)3=\frac{3(-15x-1)}{3}+3(\frac{4}{3}) \end{gathered}[/tex]Distributive property of equality
[tex]3(5x+7)=-15x-1+4[/tex]Associative property
[tex]\begin{gathered} 15x+21=-15x-1+4 \\ 15x+21=-15x+3 \end{gathered}[/tex]Subtraction property of equality
[tex]\begin{gathered} 15x+21-21=-15x+3-21 \\ 15x=-15x-18 \end{gathered}[/tex]Addition property of equality
[tex]\begin{gathered} 15x+15x=-15x+15x-18 \\ 30x=-18 \end{gathered}[/tex]Division property of inequality
[tex]\begin{gathered} \text{divide both sides by 30} \\ \frac{-18}{30}=\frac{30x}{30} \\ x=-\frac{18}{30}=-\frac{3}{5} \end{gathered}[/tex]y = (x+3)^3 find the zeros of each function
Answers
Given,
[tex]y=(x+3)^3[/tex]We have,
[tex]y=0[/tex]when,
[tex]\begin{gathered} x+3=0 \\ \Rightarrow x=-3 \end{gathered}[/tex]The zeros of the function are x=-3,-3,-3
Mackenzie drove 68 miles in 1\tfrac{3}{5}1 5 3 hours. On average, how fast did she drive, in miles per hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Answers
By taking the quotient between distance and time, we conclude that her speed is 108.8 miles per hour.
How to find her speed?
Here we will use the next relation:
speed = distance/time.
Here we know that Mackenzie drove 68 miles in (1 + 3/5) hours, then:
distance = 68 mi
time = (1 + 3/5) hours = (8/5) hours.
Then the speed will be:
speed = 68mi/(8/5) hours. = 68*(8/5) mi/h = 108.8 mi/h
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Rationalize the denominator and simplify:
√5a+√5
Answers
A box has 14 candies in it: 3 are taffy, 7 are butterscotch, and 4 are caramel. Juan wants to select two candies to eat for dessert. The first candy will be selectedat random, and then the second candy will be selected at random from the remaining candies. What is the probability that the two candies selected are taffy?Do not round your intermediate computations. Round your final answer to three decimal places.
Answers
Okay, here we have this:
Considering the provided information we are going to calculate what is the probability that the two candies selected are taffy. So, for this, first we are going to calculate the probability that the first is taffy, and then the probability that the second is taffy. Finally we will multiply these two probabilities to find the total probability.
Remember that the simple probability of an event is equal to favorable events, over possible events.
First is taffy:
At the beginning there are 14 sweets, and 3 are taffy, so there are 3 favorable events and 14 possible, then:
First is taffy=3/14
Second is taffy:
Now, in the bag there are 13 sweets left, and of those 2 are taffy, so now there are 2 favorable events out of 13 possible:
Second is taffy=2/13
The first and second are taffy:
First is taffy*Second is taffy=3/14*2/13
First is taffy*Second is taffy=3/91
First is taffy*Second is taffy=0.033
First is taffy*Second is taffy=3.3%
Finally we obtain that the probability that the two candies selected are taffy is aproximately 0.033 or 3.3%.
a half cylinder with a diameter of 2 mm is 9n top of a rectangular prism. A second half cylinder with a diameter of 4 mm is on the side of the prism. All shapes are 5 mm long. What is the volume of the combined figures?
Answers
The volume will be given by:
The volume of the half cylinder on top, plus the volume of the rectangular prims, plus the volume of the half cylinder on the right:
so:
The volume of the half cylinder on top is:
[tex]\begin{gathered} V1=\frac{\pi r^2l}{2} \\ V1=\frac{\pi(1^2)5}{2}=\frac{5\pi}{2} \end{gathered}[/tex]The volume of the half cylinder on the right is:
[tex]\begin{gathered} V2=\frac{\pi r^2l}{2} \\ V2=\frac{\pi(2^2)\cdot5}{2}=10\pi \end{gathered}[/tex]The volume of the rectangular prism is:
[tex]\begin{gathered} V3=l\cdot w\cdot h \\ V3=4\cdot2\cdot5 \\ V3=40 \end{gathered}[/tex]Therefore, the total volume is:
[tex]\begin{gathered} Vt=V1+V2+V3 \\ Vt=\frac{5}{2}\pi+10\pi+40=79.3mm^3 \end{gathered}[/tex]Which answer choice gives a correct version of this problem? -35 ÷ -7
A.) - (-35/-7) or B.) -35/7 or C.) 35/7 or D.) 35/-7
(Please note that I'm not looking for the total value rather I'm looking for what (-35 ÷ (-7) is as a fraction.)
Answers
solve on a map. 1 inch equals 14.7 miles. if two cities are 3.5 inches apart on the map, how far are they actually apart? (round to a decimal)
Answers
On a map. 1 inch equals 14.7 miles
1 inch = 14.7 miles
Two cities are 3.5 inches apart on the map
Distance between two cities = 3.5 inches
[tex]\begin{gathered} \text{ 1 inch = 14.7 miles} \\ \text{ Then for 3.5 inches in miles : Multiply 3.5}\times14.7\text{ } \\ 3.5\text{ inches=3.5}\times14.7\text{ miles} \\ 3.5\text{ inches=}51.45\text{ miles} \end{gathered}[/tex]So, the distance between two cities is 51.45 miles
Answer : 51.45 miles
Complete the table .....Which parts of the arithmetic sequence in the left of the table match up with the linear function on the right?
Answers
Let's expand the formula for arithmetic sequence.
[tex]\begin{gathered} a_n=a_1+d(n-1) \\ a_n=a_1+dn-d \\ a_n=dn+(a_1-d) \end{gathered}[/tex]The linear function is:
[tex]f(x)=ax+b_{}[/tex]Matching both equations, we can say:
[tex]\begin{gathered} a_n\gg\gg f(x) \\ d\gg\gg a \\ n\gg\gg x \\ a_1-d\gg\gg b \end{gathered}[/tex]TELL ANSWER ASAP PLS WHAT IS 15.5 MULTIPLIED BY 3.75??????
Answers
Multiplied by 15.5 to 3.75 is 58.125.
To solve the:
15.5 is multiplied by 3.75
Now,
15.5 × 3.75
= 58.125
What is the process of Multiplication ?
Multiplication is the process of calculating the total of one number multiplied by another. There will be simple tests in addition, subtraction, multiplication and division. 2. uncountable noun. The multiplication of things of a particular kind is the process or fact of them increasing in number or amount.
Hence, Multiplied by 15.5 to 3.75 is 58.125.
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An analyst notices that a CEO has consistently achieved 25% growth in profits from one year to the next. The CEO's company currently has annual profits of $870,000. If the trend continues, what will the annual profits be in 6 years?
Answers
The currennt annual profit of the company is $ 870,000.
The growth percentage is 25%.
The annual profit of the company in the 6 years can be determined,
[tex]\begin{gathered} \text{Annual Profit=870000(1+}\frac{25}{100})^6 \\ =870000(\frac{5}{4})^6 \\ =3318786.62 \end{gathered}[/tex]Thus, the aanyal profits after 6 years will be $ 3318786.62
please determine 8/12 - 3/8 =
Answers
Hope this helps!
8/12 -3/8=16/24-9/24=7/24
You should make like numbers then subtract
If you need to simplify at the end
find the height of the trapezoidA=51CM2b=10cmb=7cmH?
Answers
we must find b one of the parallel sides before proceeding to find h
from the diagram b = 7cm
[tex]\begin{gathered} \text{Area = }\frac{10\text{ +7}}{2}\times h \\ 51\text{ = }\frac{17}{2}\times h \end{gathered}[/tex][tex]\begin{gathered} 51\text{ x 2 = 17h} \\ h\text{ =}\frac{51\times2}{17} \\ h\text{ =6cm} \end{gathered}[/tex]The table below shows the average annual cost of health insurance for a single individual, from 1999 to 2019, according to the Kaiser Family Foundation.YearCost1999$2,1962000$2,4712001$2,6892002$3,0832003$3,3832004$3,6952005$4,0242006$4,2422007$4,4792008$4,7042009$4,8242010$5,0492011 $5,4292012$5,6152013$5,8842014$6,0252015$6,2512016$6,1962017$6,4352017$6,8962019$7,186(a) Using only the data from the first and last years, build a linear model to describe the cost of individual health insurance from 1999 onward. Use t to represent years after 1999 (treating 1999 as year 0).Pt = (b) Using this linear model, predict the cost of insurance in 2030.$ (c) = According to this model, when do you expect the cost of individual insurance to reach $12,000? Give your answer as a calendar year (ex: 2020)..
Answers
The given data plot will look thus:
a) Building a model using just the 1999 and 2019 years:
[tex]\begin{gathered} 1999\rightarrow0\rightarrow2196 \\ 2019\rightarrow20\rightarrow7186 \\ \text{Havng} \\ x_1=0,y_1=2196 \\ x_2=20,y_2=7186 \\ \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}_{} \\ \text{The model will be:} \\ P_t=249.5t+2196 \end{gathered}[/tex]b) The cost of insurance in 2030
[tex]\begin{gathered} P_t=249.5t+2196 \\ t=2030-1999=31 \\ \text{The cost of insurance in 2030 therefore will be:} \\ =249.5(31)+2196 \\ =7734.5+2196 \\ =\text{ \$9930.5} \end{gathered}[/tex]c) When do we expect the cost to reach $12,000
[tex]\begin{gathered} P_t=249.5t+2196 \\ 12,000=249.5t+2196 \\ 12000-2196=249.5t \\ 9804=249.5t \\ \frac{9804}{249.5}=\frac{249.5t}{249.5} \\ 39.2946=t \\ Since\text{ t = year -1999} \\ 39.2946+1999=\text{year} \\ 2038.2946=\text{year} \\ Since\text{ we are to give our answer as an exact year} \\ \text{The year will be }2039. \end{gathered}[/tex]Find the area of a circle with a Diameter = 12 ft. Use 3.14 for π and round to 2 decimal places.
Answers
Given:
Diameter of circle = 12ft
pi = 3.14
Solution
The area (A) of a circle can be calculated using the formula:
[tex]\begin{gathered} A\text{ = }\pi r^2 \\ \text{where r is the radius of the circle} \end{gathered}[/tex]Recall that the diamter (d) and radius (r) are related by the formula:
[tex]\begin{gathered} \text{radius = }\frac{diameter}{2} \\ r\text{ = }\frac{d}{2} \end{gathered}[/tex]We can now find the radius (r) of the circle to be:
[tex]\begin{gathered} r\text{ = }\frac{12}{2} \\ r\text{ = 6 ft} \end{gathered}[/tex]We can now find the area by the applying the formula given above:
[tex]\begin{gathered} A\text{ = }\pi\times r^2 \\ A\text{ = 3.14 }\times6^2 \\ =113.04ft^2\text{ (2.dp)} \end{gathered}[/tex]Answer: 113.04 square feet
The measures of the angles of a triangle are shown in the figure below. Solve for x.
44°
61°
(8x+11)°
Answers
Explanation!!
- The measures of the angles of a triangle always equal 180 degrees.
So, we know: 44 + 61 + (8x+11) = 180!!
Now, just solve for x.
180 — 61 — 44 — 11 = 116
8x = 116
116/8 = 8
x=8
hope this helps!! <33
Given the function f(x)={4x+7 if x<0 6x+4 if x>0 _
Answers
Given:
[tex]f(x)=\begin{cases}4x+7ifx<0{} \\ 6x+4ifx\ge0{}\end{cases}[/tex]Required:
To find the value of f(-8), f(0), f(4), and f(-100)+f(100).
Explanation:
f(-8) :
Clearly -8<0,
So
[tex]\begin{gathered} f(x)=4x+7 \\ f(-8)=4(-8)+7 \\ =-32+7 \\ =-25 \end{gathered}[/tex]f(0) :
Clearly 0=0,
[tex]\begin{gathered} f(x)=6x+4 \\ =6(0)+4 \\ =4 \end{gathered}[/tex]f(4) :
Clearly 4>0,
[tex]\begin{gathered} f(x)=6x+4 \\ f(4)=6(4)+4 \\ =24+4 \\ =28 \end{gathered}[/tex]f(-100)+f(100) :
-100<0
[tex]\begin{gathered} f(x)=4x+7 \\ f(-100)=4(-100)+7 \\ =-400+7 \\ =-393 \end{gathered}[/tex]100>0
[tex]\begin{gathered} f(x)=6x+4 \\ f(100)=6(100)+4 \\ =600+4 \\ =604 \end{gathered}[/tex][tex]\begin{gathered} f(-100)+f(100)=-393+604 \\ \\ =211 \end{gathered}[/tex]Final Answer:
[tex]\begin{gathered} f(-8)=-25 \\ \\ f(0)=4 \\ \\ f(4)=28 \\ \\ f(-100)+f(100)=211 \end{gathered}[/tex]determine the sample space of all the possible outcomes of choosing a card number 1 2 3 or 4 and a blue green or yellow marble how many outcomes involves choosing a Blue Marble
Answers
There are a total of 4 outcomes that involve choosing a blue marble
Here, we want to write a sample space for the selection
For us to have the sample space, we will have to write out the possible outcomes
We shall be representing the blue marble by b, the green by g and the yellow by y
We have the sample space as follows;
{1B,1G,1Y,2B,2G,2Y,3B,3G,3Y,4B,4G,4Y}
From the sample space, we can see that there are actually 12 possible results
Now, to get the outcomes involving blue marbles, we simply select the members of the sample space having B at the back
We have these as 1B, 2B, 3B and 4B
This is a total of 4 outcomes
