The equation of a line on a point (-2,2) is y = -2x-2. That option A is correct.
Here we have to find the equation of a line.
The given data:
Point = ( -2, 2)
Slope(m) = -2
Equation of a line:
y = mx + c
Now putting the values as
y = 2
x = -2
m = -2
We will get the y-intercept.
So we have:
2 = -2 × -2 + c
c = 2 - 4
= -2
So, y = -2x -2
Therefore we get the equation of line as y = -2x -2.
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equation of the parabola is f(x) = 7(x-3)^2+5.
Given:
The equation of the parabola that has the same shape has f(x) = 7x^2 but with vertex(3,5) in the form of f(x) = a(x-h)^2 + k.
If the parabola has same shape then its a values are same.
so f(x) = 7x^2
here a = 7
so the equation with vertex (3,5) also has a value is 7.
(h,k) = (3,5)
f(x) = a(x-h)^2+k
= 7(x-3)^2 + 5.
Therefore the equation of the parabola is f(x) = 7(x-3)^2+5.
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Lilly will be randomly given a paintbrush and
a canvas. If there are 3 good paintbrushes out
of 12 in all and 2 good canvases out of 6 in all,
what is the probability that both her paintbrush
and canvas will not be good?
Answer: The paintbrush will be your magic wand for weaving colors across the canvas. Artist paint brushes become beloved tools the more you use them! As you paint, you will become increasingly familiar with the way the brushes handle the paint and what they can accomplish for you. Pretty soon the paintbrush will become a part of you that you intuitively know how to maneuver.
If you're just starting out in acrylics, it can be a bit overwhelming standing in the paintbrush aisle at the art store, with a vast sea of artist paint brushes spread out before you. The wide selection even makes me dizzy sometimes!
Step-by-step explanation:
Suppose that y varies directly with x, and y=-4 when x=10. what is
y when x=2.
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies with "x"}}{y=kx}\hspace{5em}\textit{we know that} \begin{cases} y=-4\\ x=10 \end{cases}\implies -4=k(10) \\\\\\ \cfrac{-4}{10}=k\implies -\cfrac{2}{5}=k\hspace{10em}\boxed{y=-\cfrac{2}{5}x} \\\\\\ \textit{when x = 2, what is "y"?}\qquad y=-\cfrac{2}{5}(2)\implies y=-\cfrac{4}{5}[/tex]
answer the questions below about the following function
what is the domain of f(x)
what is the range of f(x)
what is the x-intercept of f(x)? enter your answer as an ordered pair. if no x-intercept exists, enter none
what it the equation of the vertical asymptote
Domain of the function is, (0, ∞).
Range of the function is, (-∞, ∞).
x - intercept of the function is, (1, 0).
Vertical asymptote of the function is, None.
What is domain and range?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
First to find the domain of the function,
Since, all input values shown on the x-axis make up a graph's domain.
We can see that values of x values are from 0 to ∞.
Hence, the domain is (0, ∞).
Now to find the range.
Since, the y-axis on a graph represents the possible output values, or range.
The y - axis having the values from -∞ to ∞.
Hence, the range of the function is, (-∞, ∞).
x - intercept is the point where function crosses the x - axis.
Here function crosses x - axis at (1, 0).
Hence, the x - intercept is (1, 0).
A graph's vertical asymptote is the vertical line at x = a where the graph trends toward positive or negative infinity as the inputs go closer to a.
So, the vertical asymptote is x = 0.
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Which equation represents a line which is parallel to the y-axis?
A.x=−4y
B.x=−8
C.y=x−3
D.y=−7
An equation for a line that is parallel to the y - axis, based on the options, is B.x = −8.
How to know lines parallel to the y - axis?The y - axis is a vertical line which runs straight through the x - axis. This means that the coordinates of the y - axis are expressed in terms of 0. The y - axis intercepts the x - axis at point 0 which is why the coordinates are:
x = 0
Any line that is parallel to the y - axis will therefore be expressed in terms of x as well. The equation for a line that is parallel to the y - axis is therefore:
x = -8
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Logan just became a personal trainer and is finalizing his pricing plans. One plan is to charge $18 for the initial consultation and then $88 per session. Another plan is to charge $39 for the consultation and $87 per session. Logan realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?
Answer: The 2 Plan will have same cost of $2149 after 64 sessions.
Let the Two plan be Plan A and Plan B.
Also let the number of session be
According to given detail
Plan A =
Plan B =
We need to find the value of when both are equal.
Plan A = Plan B
=
Solving above equation we get;
Number of session are 64.
Cost after 64 session will be,
Plan A =
Plan B =
Hence The 2 Plan will have same cost of $2149 after 64 sessions.
Step-by-step explanation:
I NEED A AND B OF THIS QUESTION!!
Answer: Part A : it is a function
Step-by-step explanation: once its on a graph it will only cross the line once
in a study, physicians were asked what the odds of breast cancer would be in a woman who was initially thought to have a 1% risk of cancer but who ended up with a positive mammogram result (a mammogram accurately classifies about 80% of cancerous tumors and 90% of benign tumors.) what is the probability of a woman having a malignant (cancerous) tumor in her breast if she has a positive mammogram result? round to 3 decimal places as needed.
The probability that a woman has a malignant tumor in her breast is 7.5%. ie 75
Let + = mammogram result is positive
B = tumor is benign
M = tumor is malignant.
Note that Bc = M.
given that P(M) = .01,
so P(B) = 1 − P(M) = 0.99.
We are also given the conditional probabilities
P(+ | M) = .80 and
P(− | B) = .90, where the event − is the complement of +
P(+ | B) = .10
Bayes’ formula:-
P(M | +) = P(+ | M) P(M) / (P(+ | M)P(M) + P(+ | B)P(B))
= 0.80 × 0.01 / (0.80 × 0.01 + 0.10 × 0.99)
=0.075
So the chance would be 7.5%. ie 75
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This one too please ! I’m stressing over here guys !
The expression that is equivalent is y(x + 2) and xy + 2y and x(x + y + 2) and x² + xy + 2x
How to find equivalent expression?Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
Equivalent algebraic expressions are those expressions which on simplification give the same resulting expression.
Now, let's check if the expression are equivalent by simplifying it.
y(x + 2) and xy + 2y
xy + 2y and xy + 2y
Therefore, the expressions are equivalent.
x(x + y + 2) and x² + xy + 2x
x² + xy + 2x and x² + xy + 2x
They are equivalent expression.
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Multiply (0.000302)(1000)
Answer:
0.302
Step-by-step explanation:
Answer: 0.302
Step-by-step explanation:
Find the equation of a line parallel to 5x+3y=−21 that passes through the point (-9,-3)
To find: Equation of line parallel to 5x + 3y = -21 and passes through the point (-9, -3)
Solving the given 5x + 3y = -21 for 3y yields 3y = -5x - 21.
Dividing all three terms by 3, we get:
y = (-5/3)x - 7, indicating that the given line has slope -5/3.
The slope of a line perpendicular to this y = (-5/3)x - 7 is 3/5, the negative reciprocal of -5/3.
Start with y = mx + b
Substitute -3 for y, -9 for x, and 3/5 for m
We get,
-3 = (3/5) (-9) + b
∴ b = 5/9
Thus, the equation is y = (3/5)x + 5/9 is the required equation of a line parallel to 5x+3y=−21 that passes through the point (-9,-3)
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In the diagram, ABGH = CDEF.
Find the value of x.
X = ___
The value of x is 25
What is congruent polygons ?
A polygon is said to be congruent if it has the same shape as the polygon it is compared to, as well as the identical side lengths and interior angles. In order to meet the condition, congruent shapes must all have the same kind of shape. Because they are different shapes, a rectangle and a pentagon cannot be congruent.
Two squares or two hexagons can be considered congruent polygons since they both have equal-length sides and angles. However, it's crucial to keep in mind that the length of the sides must also be equal. A square is not congruent if it is larger than another square.
1. Pairs of congruent corresponding parts
∠A = ∠C AB = CD
∠B = ∠D AH = CF
∠H = ∠F HG = FE
∠G = ∠E GB = ED
To find the value of x
4x + 5 = 105
4x = 105 - 5
4x = 100
x = [tex]\frac{100}{4}[/tex]
= 25
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The graph of a linear function has a slope of 5 and passes through the point (1, 8).
What's the zero?
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve. 4 x + 6 < − 6
The solution to the inequality 4x + 6 ∠ -6 is x ∠ -3
What is an inequality?inequality shows the relationship between two values in an algebraic expression that are not equal. Inequality signs can indicate that one variable of the two sides of the inequality is greater than, greater than or equal to, less than, or less than or equal to another value.
4x + 6 ∠ -6
taking 6 to the right hand side of the inequality
4x < -6 -6
4x < -12
divide both sides by 4
x < -12/4
x < -3
In conclusion, x < -3 is the solution to the Algebraic expression above.
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Angel bought a plant and planted it in pot near a window in his house. The plant
grew at a rate of 3 inches per month and its height at the time of purchase was 15
inches. Write an equation for H, in terms of t, representing the height, in inches, of
the plant t months after Angel bought the plant.
The required equation for height H of the plant t months after Angel bought the plant is,
H = 15 + 3t
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
t = time in months
H = total height
H= initial height+ rate of growth * time
H = 15 + 3t
So, the required equation for height H of the plant t months after Angel bought the plant is,
H = 15 + 3t
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Find the x- and y-intercepts of the graph of 2x+8y=122x+8y=12. State each answer as an integer or an improper fraction in simplest form.
Answer:
x,y [tex]( \frac{2}{61})(\frac{91}{61} )[/tex]
Which of the following would be a good estimate for -7.94 - 2.31?
-10
-5
-9
-6
will mark brainiest
Answer:-10.25
Step-by-step explanation:
Just because ;) -10.25= -10.00
Answer:
-10
Step-by-step explanation:
Estimate between the two numbers?
Add them together first
Which equals -10.25
The closest would be -10
6. According to Statistics Canada, the number of cable television subscribers increased from about 1 151 000 in 2002 to about 1 393 000 in 2003. What was the mean number of new subscribers per month during that year?
The mean number of new subscribers per month during that year is 242000.
What is a mean?A mean simply means the average of the numbers given.
The number of cable television subscribers increased from about 1 151 000 in 2002 to about 1 393 000 in 2003.
The mean number of new subscribers will be:
= Change in numbers / Number of years
= (1393000 - 1151000) / 1
= 242000 / 1
= 242000
Therefore, the mean is 242000.
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find the ratio of 2 meters to 76 centimeters
The ratio of 2 meters to 76 centimetres is 50: 19.
How to find ratios of units?In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
In simpler terms, a ratio compares values.
Let's find the ratio of 2 meters to 76 centimetres as follows:
We have to first convert the units so they will be same.
Hence,
1 cm = 0.01 m
76 cm = ?
cross multiply
length in metres = 76 × 0.01
length in metres = 0.76 metres
Therefore, let's multiply the 2 units by 100.
0.76 × 100 = 76 metres
2 × 100 = 200 metres
In ratio, 200 : 76 will be simplified as 50 : 19
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Work out (3 x 10^199) + (2 × 10^201).
Give your answer in standard form.
The standard form of (3 x 10^199) + (2 × 10^201). is 2.03 x 10^201
The expression given is (3x10^199)+(2*10^201) we need to write it in the standard form
Take 10^199 from the equation
=10^199((3x1)+(2x10^2))
=10^199(3+(2x100))
=10^199(3+200)
=10^199(203)
=203x10^199
2.03 x 10^201
1. there are 201 zeros after 2 and 199 zeros after 3
2. difference between 201 and 199 is 2
3. on adding both of them the 3 will come 2 spaces to the right of 2
The value of (3 x 10^199) + (2 × 10^201). is 2.03 x 10^201
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4 - 3x = 8 - 4x please help
Step-by-step explanation:
we switch the like terms across the equation and when we do that we change the signs
Marlee is making jewelry for a class craft show. She began with 115 inches of wire. She used 25.75 inches for rings. Then her teacher gave her 3014 inches of wire to make more jewelry. She then used 3812 inches for the bracelets and 60.2 inches for necklaces. How much wire does Marlee have left? Write your answer as a mixed number in simplest form.
Marlee is in short of -768.95 inches of wire for making jewelry.
Given that, Marlee is making jewelry for a class craft show. She began with 115 inches of wire.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The numerical expression for the given situation is
115-25.75+3014-(3812+60.2)
= 89.25+3014-3872.2
= 3103.25-3872.2
= -768.95 inches
Therefore, Marlee is in short of -768.95 inches of wire for making jewelry.
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-13 > 2x -5 or 2x-5>17
The solution set for the pair of inequalities as given in the task content is; (-∞, -4) U (11, ∞).
What is the solution set for the pair of inequalities given?It follows from the task content that the solution set of the pair of inequalities is to be determined.
Therefore, each inequality can be solved as follows;
-13 > 2x - 5;
-13 + 5 > 2x
-8 > 2x
-4 > x.
Also, the inequality 2x - 5 > 17 can be solved as follows;
2x > 17 + 5
2x > 22
x > 11.
Therefore, the solution set of the inequalities as given in the task content in interval notation is;
(-∞, -4) U (11, ∞).
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help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The graph of the quadratic equation with axis of symmetry x = - 2 is shown in figure.
What is Quadratic equation?
An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The function is,
⇒ f (x) = - 3 (x + 2)² + 1
Now,
We know that;
If the function is of the form y = a (x - h)² + k;
Then, The vertex = (h, k)
And, Axis of symmetry is, x = h
Here, The function is,
⇒ f (x) = - 3 (x + 2)² + 1
⇒ f (x) = - 3 (x - (- 2))² + 1
By comparing we get;
h = - 2 , k = 1
So, Vertex of the function = (- 2, 1)
And, Axis of symmetry is;
⇒ x = - 2
Thus, The graph of the quadratic equation with axis of symmetry x = - 2 is shown in figure.
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Samuel orders four DVDs from an online music store. Each DVD costs $9.97. He has a 25% discount code, and sales tax is 7.75%. Round sales tax amounts to the nearest cent. What is the total cost of his order?
The total cost of his order of DVDs will be $32.23.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Samuel orders four DVDs from an internet-based music store. Every DVD costs $9.97. He has a 25% markdown code, and the deal charge is 7.75%.
The cost of DVDs after discount will be given as,
⇒ 4 x $9.97 x (1 - 0.25)
⇒ $29.91
The cost of DVDs after tax will be given as,
⇒ $29.91 x (1 + 0.0775)
⇒ $32.23
The total cost of his order of DVDs will be $32.23.
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Determine the value of any unknown GIVE REASONS
The value of angle b is 60 degrees. The reason is angle b is a supplementary angle to angle 120 degrees
angle b is equal to angle c the reason id that they form alternate internal angles
What are linear pairs?A linear pair is a situation where two adjacent angles are on a straight line, hence their sum is 180 degrees.
Linear pair is special cases of supplementary angles involving only two angles that are adjacent
How to solve for angle b
b + 120 = 180
b = 180 -120
b = 60
c = b (alternate internal angles)a = 80 degrees vertical anglesLearn more about linear pair here
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The variable y has a proportional relationship with x as suggested by the graph. Use the graph to find the constant of proportionality.
Answer: THE ANSWER IS 26
Describe the transformation of
f(x) = -2|x + 1 + 5
Shift Up__units.
Shift Down__units.
Shift Right__units.
Shift Left__units.
Compress by a factor of__
Stretch by a factor of__
Reflect over__axis.
The transformation of the equation f(x) = -2|x + 1| + 5 is
Shift Left 1 units
Shift Up 5 units
Compress by a factor of 2
Reflect over x axis
Interpretation of the transformationsTransformation involves movements of image or object usually described in a cartesian plane
starting from |x| at the origin
|x + 1| is a shift to the left 1 unit
|x + 1| + 5 is a shift on the y axis, it represents a shift up 5 units
2|x + 1| + 5 is a vertical compression by a factor of 2
-2|x + 1| + 5 the negative sign shows reflection over x axis turning the graph over
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Write an equation for the nth term of the arithmetic sequence, then find the a10
-3,-1,1,3
An equation for the nth term of the arithmetic sequence is aₙ=a+(n-1)d and a₁₀ of sequence -3,-1,1,3 is 15.
What is Sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given,
-3,-1,1,3 is a sequence.
An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same.
We know that nth term of arithmetic sequence is aₙ=a+(n-1)d
-3,-1,1,3
First term a=-3
Common difference d=-1-(-3)=-1+3=2
We need to find the 10th term
a₁₀=-3+(10-1)(2)
a₁₀=-3+9(2)
a₁₀=-3+18
a₁₀=15
Hence, an equation for the nth term of the arithmetic sequence is aₙ=a+(n-1)d and a₁₀ of sequence -3,-1,1,3 is 15.
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The volume of a cylinder does not change
if you slant the (fill in the blank)
the cylinder but keep the
of(fill in the blank)
the same. The
volume of an oblique cylinder is the same
as the volume of an upright cylinder with
the same base and height.
If you slant the height of the cylinder but keep the radius the same then the volume of an oblique cylinder is the same.
What is an oblique cylinder?
When a cylinder "leans over," that is when its sides are not parallel to its bases, then the cylinder is said to be an oblique cylinder. The bases (ends) of an oblique cylinder stay parallel to one another, while the sides tilt outward at an angle that isn't quite 90°.
An oblique cylinder will have the same volume as a right cylinder with the same radius and height. As long as the radius and height are the same, the volume does not vary, but the height must equal the perpendicular height.
From the above observations, we can say that If you slant the height of the cylinder but keep the radius the same then the volume of an oblique cylinder is the same.
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