Examine the graph of the function. The graph of a line that contains points (negative 1, 7), (0, 5), and (2, 1). © 2017 StrongMind. Created using GeoGebra. What is the initial value of the function? Enter your answer as a number, like this: 42
Answers
The initial value of the function is equal to 5.
How to determine the initial value of the function?In order to determine the initial value of the function, we would have to find the slope from line graph and then write the required equation based on the data points contained in the table by using the slope-intercept form.
Mathematically, the slope-intercept form of a line is modeled by this mathematical equation:
y = mx + c
Where:
m represents the slope.x and y are the data points.c represents the y-intercept or initial value.Next, we would determine the slope of the data points as follows;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (5 - 7)/(0 + 1)
Slope, m = -2/1
Slope, m = -2.
At point (0, 5), an equation of this line can be calculated in slope-intercept form as follows:
Note: The y-intercept or initial value is equal to 5.
y = mx + c
y = -2x + 5
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Related Questions
Find the measures of all of the missing angles. FAST!!!
Answers
Answer:
angle BCD=58 degree
angle ACD=32 degree
angle DAC=58 degree
angle CDB=90 degree
Step-by-step explanation:
Hope it helps you!!
f(x)=3^√x-1
Find f(27) and f(-343)
need to find cube root
Answers
On solving the provided question, we can say that - the value of the cube root is 19683 = 27
what is cube root?In mathematics, y3 = x since the cube root of a number x equals a number y. Each non-zero real integer has precisely one real cube root, one set of complex conjugate cube roots, and three different complex cube roots. When a number is multiplied three times, the result is the cube root of that number. Three cube roots, the final cube root, is the symbol for the cube root. The opposite of cubing an integer is finding the cube root of that number. Prime factorization is a fairly straightforward technique that may be used to get a number's cube root. The sign stands for a cube root.
here,
we have f(27)
cube will be [tex]( 27 )^3[/tex] = 19683
and f(-343) = -7
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What will be the coefficient of XYZ in the product of 2xy 3zx and Y 2z )?
Answers
The coefficient of XYZ in the product of 2xy 3zx and Y 2z is 0.
The formula for coefficient is C = a*b, where a and b are the coefficients of the terms being multiplied.
In the given example, the coefficients for the terms being multiplied are 2 for 2xy, 3 for 3zx, and 0 for Y 2z. Since 0 multiplied by any number is 0, the coefficient of XYZ in the product is 0.
Mathematically, this can be expressed as:
C = 2*3*0 = 0
Therefore, the coefficient of XYZ in the product of 2xy 3zx and Y 2z is 0.
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raph of the function f(x) = (x+2)(x+6) is shown
-4 2
4
2+
N
-2
-6
2
4 6
X
What is true about the domain and range of the function?
O The domain is all real numbers, and the range is all
real numbers greater than or equal to -4.
O The domain is all real numbers greater than or equal
to
-4, and the range is all real numbers.
O The domain is all real numbers such that -6 ≤x≤-2,
and the range is all real numbers greater than or equal
to-4.
O The domain is all real numbers greater than or equal
to
-4, and the range is all real numbers such that -6 sx
≤-2.
Answers
The domain of a function is the set of all input values (x-values) for which the function produces a valid output (y-value). In this case, the function f(x) = (x+2)(x+6) is defined for all real numbers, so the domain is all real numbers.
What do a function example's range and domain mean?
A straightforward function, such as f(x) = x2, can have a domain (what goes in) of just the counting numbers 1, 2, 3, etc., and a range (what comes out) of the set 1, 4, 9, etc. Another function, g(x) = x2, may have an integer domain of..., -3, -2, -1, 0... 1, 2, 3, and its range is..., 1, 4, 9,...
The range of a function is the set of all possible output values (y-values) produced by the function. The function f(x) = (x+2)(x+6) is a polynomial, and all polynomials of the form (ax^2 + bx + c) with real coefficients (a,b,c) have range is all real numbers. The range of the function f(x) = (x+2)(x+6) is also all real numbers.
So the answer is
The domain is all real numbers, and the range is all
real numbers.
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How many solutions does 5x 2 7x 4 0 have?
Answers
The given equation gives two solution. We can find solution by using quadratic formula or discriminant.
How do you find the number of solutions?A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R. So a and b ≠ 0. When we consider a system of linear equations we can find the number of solutions by comparing the coefficients of the variables of the equations.
How do you find how many solutions are in a quadratic equation?
if the discriminant is positive. Then the quadratic equation has two solutions.
if the discriminant is equal. Then the quadratic equation has one solution.
if the discriminant is negative. Then the quadratic equation has no solution.
Here we have
a=5 b=-7 c=4
Disc= [tex]b^2[/tex]-4ac
Disc= [tex](-7)^2[/tex]-4(5)(4)
Disc= 49+80
=129
Disc >0 it has two solutions.
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Complete question is: How many solutions are there for 5x^2+7x-4=0?
a) 0
b) 1
c) 2
d) 3
can someone please help me out on this one, thank you!
Answers
Answer: 8 times as long
Step-by-step explanation:
Answer:
I believe it is approx. 8 times longer.
Step-by-step explanation:
2^10 = 1024
2^7 = 128
1024 / 128 = 8
i hope this is right and helps :)
What is the product of 2x 3y )( 2x 3y )? *?
Answers
The product of (2x-3y)(2x+3y) is 4x^2-9y^2.
the solution of the question is as follows,
Product = (2x-3y)(2x+3y)
Product =2x(2x+3y)-3y(2x+3y)
Product = 2x(2x)+2x(3y)-3y(2x)-3y(3y)
{using distributive property of multiplication}
Product = 4x^2 +6xy - 6xy -9y^2
solving 6xy-6xy=0,
Product = 4x^2 - 9y^2
4x^2-9y^2 is the product of (2x-3y)(2x+3y).
distributive property of multiplication
This property states that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. The multiplication of (a - b)(a + b) is equal to a^2 - b^2. This result is used as an identity.
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If you are doing a linear regression, what is the slope of the line predicted by the null hypothesis?
Answers
Therefore , the solution of the given problem of slope comes out to be the slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.
Define slope.
The slope-intercept formulation of an equation is used to represent each time the formula of a line is stated as y = mx + b. The line slope is represented by the m. Additionally, b is the b in the y-intercepting point (0, b). For instance, the y-intercept is at (0, 7) and the slope is 3 in
the formula y = 3x - 7.
Here,
The slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.
:
: B not equal to 0
The slope is equal to zero according to the null hypothesis, however the slope is not equal to zero according to the alternative hypothesis.
The alternative hypothesis therefore asserts that the slope is not equal to zero, whereas the null hypothesis asserts that the slope is equal to zero.
Therefore , the solution of the given problem of slope comes out to be the slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.
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What is the segment partition formula?
Answers
The segment partition formula is used to calculate the coordinates of a point on a line segment, given the coordinates of the two endpoints of the segment and the ratio of the desired point from the first endpoint.
The formula is:
Point = (x1 + r * (x2 - x1), y1 + r * (y2 - y1))
Where x1 and y1 are the coordinates of the first endpoint, x2 and y2 are the coordinates of the second endpoint, and r is the ratio of the desired point from the first endpoint.
The segment partition formula is used to calculate the coordinates of a point on a line segment, given the coordinates of the two endpoints and the ratio of the desired point from the first endpoint. The formula is given in the form of Point = (x1 + r * (x2 - x1), y1 + r * (y2 - y1)).
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Plzzzzzzzz helppppp meeeeeeee
Answers
In a survey 1500 people , 775 of them like nepal idol , 975 like comedy chapion and 450 people like both the showes how many people didnot like both the show
Answers
Answer:
Step-by-step explanation:
Hope this helps u!!
There will be 800 people who did not like either show.
What is a survey?To find out how many people did not like either show, we need to subtract the number of people who liked both shows from the total number of people surveyed.
Let A be the number of people who liked Nepal Idol, B be the number of people who liked Comedy Champion, and C be the number of people who liked both shows.
According to the problem, we have:
A = 775
B = 975
C = 450
To find the number of people who did not like either show, we can use the formula:
Total number surveyed - (A + B - C)
Substituting the values given in the problem, we get:
1500 - (775 + 975 - 450) = 800
Therefore, 800 people did not like either show.
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acute ? right ? or obtuse ! Thank youu
Answers
Answer:
obtuse
Step-by-step explanation:
it's obvious if it was acute it would be tiny
solve the inequality and explain how
Answers
Answer:
B. (see attached)
Step-by-step explanation:
You want the solution and graph of the inequality |x+3| > 2.
SolutionThe inequality resolves to two inequalities with different domain definitions:
|x +3| > 2
When the argument is negative, (x+3) < 0, this is ...
-(x +3) > 2
-x -3 > 2 . . . . . . eliminate parentheses
x +3 < -2 . . . . . . multiply by -1
x < -5 . . . . . . . . . subtract 3; consistent with the domain definition
When the argument is positive, (x+3) > 0, this is ...
x +3 > 2
x > -1 . . . . . . . . subtract 3
-1 < x . . . . . . . . same thing using the < symbol
These differing solution sets do not overlap, but elements of either set are solutions to the inequality. The appropriate conjunction is "OR":
solution: x < -5 or -1 < x
The graph is attached.
__
Additional comment
We like to use the < or ≤ symbols when expressing the solution to an inequality. That way, the relation of the variable to the boundary value is the same as its relation on a number line. Solution values are left of -5 or right of -1:
x < -5 or -1 < x
It helps provide a check that the graph is properly drawn.
The inequality can be rewritten as ...
|x -(-3)| > 2
which can be interpreted as saying the positive distance from x to -3 is more than 2. This tells you the graph will have two disjoint branches, and the appropriate conjunction is OR.
If the problem were different, and the inequality were ...
|x -(-3)| < 2
it would be telling you the solution values have a distance less than 2 from -3. They will be in one continuous band from -5 to -1, so the appropriate conjunction is AND. The solution in this case is usually written as a compound inequality with no conjunction: -5 < x < -1. (Note the use of < symbols puts the variable value in the middle, between the boundary values, as in graph D.)
5-Which of the equłtions represents the circle below?
A) x2 + y² = 12
B) x2 + y2 = 36
o +vy=v12
D) Vx+vy=v6
Answers
Answer:
The equator the circle is;
x^2 + y^2 = 36
Step-by-step explanation:
The general equation of a circle is ;
(x-a)^2 + (y-b)^2 = r^2
(a,b) is the center of the circle which is the origin here
The radius is half the distance from edge to edge, passing through the center either in the vertical or horizontal direction
From the center to the edge of the positive x axis bounding the circle, we have 6 units
This would be the same for the left too
So, the diameter of the circle would be 6 + 6 = 12 units
The radius of the circle is half of this which would be 12/2 = 6 units
thus, we have the equation of the circle as;
(x-0)^2 + (y-0)^2 = 6^2
x^2 + y^2 = 36
What do 7th graders learn in math?
Answers
In 7th grade math, students learn basic algebra, ratios and proportions, geometry, graphing, probability, equation and statistics.
In 7th grade math, students typically learn basic algebraic principles, including linear equations, variables, and functions. They also learn about ratios, proportions, and percents. Geometry is typically introduced, with topics such as angles, lines, triangles, and circles. Additionally, students may be taught more advanced topics such as graphing, probability, and statistics.In 7th grade math, students learn basic algebra, ratios and proportions, geometry, graphing, probability, and statistics.
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Which point is in Quadrant III?
Answers
Answer:
B
Step-by-step explanation:
B is in Quadrant III.
B is the answer.
*15 points* will give brainliest
Yazmin is collecting data for her environmental science class. She catalogued all the trees in an acre of the nature preserve. She found 8 oak trees, 4 pecan tree, 2 crepe myrtle trees, and 2 magnolia trees. If the nature preserve covers 280 acres, how many pecan trees are likely to be in the park?
Answers
Answer:
maybe 70
Step-by-step explanation:
Please answer! The attachment is here.
Answers
Answer:
I think the answer is (a) triangle as if you slice the traingular prism with perpendicular to the base as if we slice it with cross sectionally
Hope it helps
What is the volume of the cone in the diagram?
Answers
Step-by-step explanation:I need to see the picture
Answer:
A
Step-by-step explanation:
just did it on edmentum .
On Thursday, a local hamburger shop sold a combined total of 429 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the
number of hamburgers sold. How many hamburgers were sold on Thursday?
hamburgers
Answers
Let H be the number of hamburgers sold and C be the number of cheeseburgers sold.
The total number of hamburgers and cheeseburgers sold is given by the equation: H + C = 429
The number of cheeseburgers sold is given by the equation: C = 2H
Substituting the second equation into the first equation, we get: H + 2H = 429
Combining like terms, we get: 3H = 429
Dividing both sides by 3, we get: H = 143
On Thursday, 143 hamburgers were sold.
In the figure given alongside: O is the centre of circle. If
To
OP AB, write the relation between AP and AB.
plz help
Answers
Answer:
[tex]AP = \frac{1}{2} AB \\ AB = 2AP[/tex]
Jeremy Earned $33 for four hours of work .how much would he earn for seven hours of work at the same rate
Answers
8.25 x 7= 57.75
Jeremy would earn $55.75 if he works for seven hours
Simplifying algebraic expressions
Answers
The simplified form of the algebraic expression [tex]2c-7c[/tex] is [tex]-15[/tex]
The given algebraic expression is [tex]2c-7c[/tex] and we need to use [tex]c=3[/tex]
Let's substitute the value of [tex]c[/tex] in the given algebraic expression, that is
[tex]=2(3)-7(3)\\=6-21\\=-15[/tex]
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Answer:
-15----------------------
Given expression
2c - 7cSimplify it:
2c - 7c = (2 - 7)c = - 5cFind its value by plugging in the value of c:
- 5c = - 5*3 = - 15Select the correct answer from each drop-down menu.
A certain distribution has a mean value of 100 and a standard distribution of 15,
Assuming the values are distributed normally, 95% of values will fall between
and
Answers
Answer:
70, 130
Step-by-step explanation:
Just took the Mastery test on PLATO and this answer was correct.
Help me pleaseeeeeeeee
Answers
71
Step-by-step explanation:
that it is not 0 because i am a teacher mrs.brainly so there is the thing
Eric got home from work at 8:00 pm. He was traveling for 1 hour and 15 minutes. At what time did he start traveling home from work?
Answers
Answer:
the answer is 6:45pm brain list me
Find the Vertex when x=-2
options:
(-2,-10)
(-2,6)
(-2,-6)
(-2,-34)
Answers
Answer:
(--2, 6)
Step-by-step explanation:
Plugging -2 into the equation, you get -2(-2)^2-4(-2)-10 which is 6. This makes the coordinate (-2,6)
9. A triangle with a height of 12 inches has an area of 36 square inches. How long is the base of the triangle?
If anyone knows this please tell me this is due tommorow!
Answers
36 = 1/2(base)(12)
36 = 6(base)
6 = base
The base is 6 inches long.
Answer:
Step-by-step explanation
The triangle base would be 6
simplify when x=4 3x^3+3
Answers
Answer:
The value is 195 When x = 4 in 3x³ + 3.
Step-by-step explanation:
3x³ + 3
Insert 4 for x.
3(4)³ + 3
Cube the 4.
3(64) + 3
Multiply 3 by 64.
192 + 3
Add.
195
Fwam went shopping for a new phone. Sales tax where he lives is 9%. The price of the phone is $33. Find the total price including tax. Round to the nearest cent.
Answers
Answer:
$35.97
Step-by-step explanation:
33 × .09 = 2.97
33 + 2.97 = $ 35.97