Answers
The equation must be written in slope-intercept form
y= mx +b
m= slope
b= y-intercept (where the line crosses the y-axis)
to find the slope apply the slope formula:
\(m=\frac{y2-y1}{x2-x1}\)Use the points from the graph:
(x1,y1) = (-5,-4)
(x2,y2)= (5,2)
Replace
\(m=\frac{2-(-4)}{5-(-5)}=\frac{2+4}{5+5}=\frac{6}{10}=\frac{3}{5}\)The line crosses the y axis on y=-1
b=-1
Equation:
y= 3/5x -1
Related Questions
What is the quotient in polynomial form?
Answers
Answer:
Step-by-step explanation:
We are given the polynomial \(x^3+2^2-2x+3\) and we are dividing by (x+3). So by performing one step of synthetic division we get
1 2 -2 3|-3
-3 3 -3
1 -1 1 0
So the quotient in polynomial form is \(x^2-x+1\)
The data in the line plot show how many pages each student read last night. Which is the best measure of variability?
A. interquartile range
B. mean
C. median
D. range
Answers
I hope this helps tou!
5/6-2/7 the answer isnt 23/42 or 8/21
Answers
Answer:
Common denominator - 42
Step-by-step explanation:
6 - 6, 12, 18, 24, 30, 36, 42
7 - 7, 14, 21, 28, 35, 42
Hope this helps! :)
The rate in the portion formula is not always expressed with a percent symbol?
Answers
That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.
What is the proportional and ratio formula?How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.
What does a ratio example look like?An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.
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Two water balloons were launched into the air at different moments and collided. The water balloons were modeled by the quadratic functions: y = −7x2 + 26x + 3 and y = −6x2 + 23x + 5, where y represents the height in meters and x represents the time in seconds after the launch. What is the time, in seconds, that the balloons collided at the highest point?
a. 2.0 seconds
b. 2.25 seconds
c. 2.5 seconds
d. 2.75 seconds
Answers
Answer:
The answer is C
Step-by-step explanation:
C
{ →
Shari drew several lines. Which lines are perpendicular to AC ?
Select all that apply.
Answers
A package of 25 fishing hooks costs $9.95 , while a package with 40 hooks costs $13.99 . Which is the better buy? Round your answer to the nearest cent if necessary.
Answers
Therefore, the package with 40 hooks is the better buy in terms of cost efficiency.
To determine which package is the better buy, we need to compare the cost per hook for each package.
For the package of 25 hooks costing $9.95, we divide the total cost by the number of hooks:
Cost per hook = $9.95 / 25 = $0.398
Rounding to the nearest cent, the cost per hook is $0.40.
For the package of 40 hooks costing $13.99, we divide the total cost by the number of hooks:
Cost per hook = $13.99 / 40 = $0.3498
Rounding to the nearest cent, the cost per hook is $0.35.
Comparing the two costs per hook, we can see that the package with 40 hooks for $13.99 offers a better deal, as the cost per hook is lower at $0.35.
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I need help solving the system equation algebraically using elimination :( !
Answers
Answer:
\(\text{ D) (8,-5)}\)Step-by-step explanation:
Given the following system of equation.
\(\begin{gathered} 4x+3y=17\text{ (1)} \\ 2x-3y=31\text{ (2)} \end{gathered}\)Using the elimination method, as a first step, multiply each equation by a suitable number so that the two equations have the same leading coefficient.
In this case, the equations have already the same coefficient -3 and 3, add the second equation from the first:
\(4x+2x+3y+(-3y)=17+31\)Compute like terms and solve this new equation for x:
\(\begin{gathered} 6x=48 \\ x=\frac{48}{6} \\ x=8 \end{gathered}\)Now, substitute x=8 into either equation (1) or (2) and solve for y:
\(\begin{gathered} 4(8)+3y=17 \\ 32+3y=17 \\ 3y=-15 \\ y=-\frac{15}{3} \\ y=-5 \end{gathered}\)A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10∘ to the horizontal. Calculate the length of the zip wire.
Answers
The length of the zip wire is approximately 25.42 meters.
To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.
Given:
Distance between the two posts: 25m
Angle of the zip wire to the horizontal: 10°
We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.
In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.
Using the cosine function:
cos(angle) = adjacent/hypotenuse
cos(10°) = 25m/hypotenuse
To find the hypotenuse (length of the zip wire), we can rearrange the equation:
hypotenuse = 25m / cos(10°)
Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.
Therefore, the length of the zip wire is:
hypotenuse = 25m / 0.9848 ≈ 25.42m
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Samantha is making a trapezoidal picture frame. She measured the frame. One of the bases is 6.5 cm and the height is 8 cm. What must the length of the other base be in order for the area of the frame to be between 45 2 and 60 2 ? Circle all that apply
Answers
Answer:
between 45 and 60?
Step-by-step explanation:
5.5 and 8,
Write an equation in slope-intercept form for the line between (2,7) and (6, 19)
Answers
Answer:
Step-by-step explanation:
(19 - 7)/(6 - 2) = 12/4= 3
y - 7 = 3(x - 2)
y - 7 = 3x - 6
y = 3x + 1
what is the y intercept ??
Answers
What does AxB equal in I-ready Math?
Answers
What is the answer yes or no?
Answers
Answer:
yes.
Step-by-step explanation:
Suppose you can afford to pay $ 325 a month for 9 years towards a new car with no down payment. If the current interest rates are 4.75%, how expensive a car can you afford?
Car sticker price =
Answers
Using the interest rates formula, we know that an automobile that costs $24588.44 is within our means.
What are interest rates?The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate.
The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.
So, let's say the car's affordable price is P:
The entire payback is equal to P r/100 T + P.
In this case, P, r = 4.75, and T = 9 years.
$351,00 = P × (4.75/100 × 9 + 1)
$351,00 = P × ( 0.4275 + 1)
$351,00 = P × 1.4275
P = 351,00 / 1.4275
When you use the division operation, we receive:
P = $24588.44
Therefore, using the interest rates formula, we know that an automobile that costs $24588.44 is within our means.
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Please gimme the variables to define the sytem and 2 system of equations
Answers
Answer:
\(8.5x+4y=99.5,\ x+y=17\)
Step-by-step explanation:
\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)
it's this one!!!!_;$;;#+$;
Answers
Answer:
12 Units
A total of 12 units have been traveled.
} One number is 8 times another. When the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number. What are the numbers?
Answers
The numbers are 1 and 8.
We have,
Let's assume the lesser number as "x" and the greater number as "8x".
According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:
8x - x = 5x + 2
Simplifying the expression:
7x = 5x + 2
Subtracting 5x from both sides:
2x = 2
Dividing both sides by 2:
x = 1
So, the lesser number is 1 and the greater number is 8 times that, which is 8.
Therefore,
The numbers are 1 and 8.
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A completely randomized design Group of answer choices has one factor and one block. has one factor and one block and multiple values. can have more than one factor, each with several treatment groups. has only one factor with several treatment groups.
Answers
Answer:
C. can have more than one factor, each with several treatment groups.
Step-by-step explanation:
A completely randomized design can be used in experimental research of a primary factor or multiple factors. The factors could have several treatment groups which are assigned in a random manner. For example, a researcher, could want to determine the effect of a drug against a disease on a class of people. To do this, he designs a treatment group with different concentrations of the drug and a placebo group. He then gets an equal number of subjects, randomly assigning them to each of the groups. The effect of both treatments are compared to know if the drug is indeed effective against the disease the researcher is experimenting on.
Completely randomized design has found application in agricultural and environmental researches.
Please help
21. What are the missing coordinates of point Q?
P(0, c)
A.
B.
C.
D.
Session 2-Calculator Allowed
(-2a, 0)
(2a, 0)
(-2a, c)
(2a, c)
Q(?, ?) O
N(2a, 0)
Answers
"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.
Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:
x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2
x-coordinate of Q = (0 + 2a) / 2 = a
So, we know that the x-coordinate of point Q is a.
To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:
y - c = (0 - c) / (2a - 0) * (x - 0)
Simplifying this equation gives:
y - c = -c/2a * xy = -c/2a * x + c
Substituting x = a in this equation gives:
y = -c/2a * a + cy = -c/2 + cy = c/2
So, we know that the y-coordinate of point Q is c/2.
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Which pair of numbers has an lcm of 16
Answers
Answer:4 and 16
Step-by-step explanation:
4 = 4, 8, 12, 16, 20
16 = 16, 32..
LCM = 16
What is the value of x in this proportion?
56=−4x+2
Responses
x=−2 4/5
x equals negative 2 and 4 over 5
x=−4 2/5
x equals negative 4 and 2 over 5
x=−5 1/5
x equals negative 5 and 1 over 5
x=−6 4/5
x equals negative 6 and 4 over 5
Answers
The value of x or the expression 56 = -4x + 2 is -27/2.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
56 = -4x + 2
Solve for x.
56 = -4x + 2
Subtract 2 on both sides.
56 - 2 = -4x
54 = -4x
Divide -4 into both sides.
-54/4 = x
x = -54/4
x = -27/2
x = -13(1/2)
Thus,
The value of x is -27/2.
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Julia has a set of cards with each labelled Cat, Dog, Hamster or Rat.
a) Complete the table below to show the probability of getting a card
labelled Rat when randomly choosing a card from the set.
Label
Cat
Dog
Hamster
Rat
Probability
0.35
0.4
0.1
b) Julia chooses a card at random from her set of cards.
What is the probability that the card is labelled Cat or Hamster?
+
c) Julia's sister, Lisa, has an identical set of cards.
They both each choose one card at random from their set of cards.
What is the probability that they both choose a card labelled Dog?
+
Answers
Answer:
a) 0.15
b) 0.45
c) 0.16
Explanation:
a) 1-0.35-0.4-0.1=0.15
b) 0.35+0.1=0.45
c) 0.4x0.4=0.16
Pavel drew a triangle in his geometry notebook. The base of his triangle measured 10 centimeters.
Which of the following options could be the measures of the other two sides of his triangle?
A. 1 cm and 8 cm
B. 3 cm and 7 cm
c. 5 cm and 15 cm
D. 12 cm and 17 cm
Answers
The measure of other two sides of triangle is12cm and 17cm.
What is a triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.
In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane. In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
If all of geometry is the Euclidean plane, then all triangles are enclosed in a single plane, however in higher-dimensional Euclidean spaces, this is no longer the case. Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.
here it is given in the question
the base of the triangle is 10cm.
then the value of other two side is 12cm and 17cm.
Hence, The measure of other two sides of triangle is12cm and 17cm.
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Find the values of x,y, and x in a circle
Answers
Answer: x=20, y=z=160
Step-by-step explanation:
5/12x6/15=30/180
How do I simplify?
Answers
Answer:
0.167
Step-by-step explanation:
if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6
technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167
that should end up being your answer if i did the math right
Answer:
Step-by-step explanation:
5/12 * 6/15 =30/180
1/6=1/6
which is true, Right-hand side is equal to left-hand side
what is the answer to tis question
Answers
Answer:
≈150cm²
Step-by-step explanation:
area is calculated by firmula pir²
r=6.9cm
pi=3.142
3.142×6.9² = 149.59062 cm²
PLEASE PLEASE PLEASE PLEASE (5'1, 5'2, 5'3, 5'4, 5'5, 5'6, 5'7, 5'8, 5'9, 5'9, 5'10, 5'11, 5'12) PLEASE FIND THE ABSOLUTE DEVIATION MAN PLEASE
Answers
Answer:
Answer:
A. mean: 5.75
B. 1.8958
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Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answers
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation:
How can she find the coordinates of the new point without graphing the point?
Answers
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