Answer:
Choice a
y = 2x -5
Step-by-step explanation:
The slope-intercept form of a line is y = mx + b where m is the slope and b the y-intercept
The given line has slope = 2
A parallel line will have slope = 2 also
So the only choice is 2x + 5 which is choice a
Math Lesson help me please asap
Answer:
AB = 7.28 units
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two endpoints.\end{minipage}}[/tex]
From inspection of the given graph:
A = (-5, -4)B = (-3, 3)Substitute the given points into the formula:
[tex]\begin{aligned}\impliesAB & =\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& =\sqrt{(-3-(-5))^2+(3-(-4))^2}\\& =\sqrt{(2)^2+(7)^2}\\& =\sqrt{4+49}\\& =\sqrt{53}\\ & = 7.28\; \sf units \; (nearest \: hundredth)\end{aligned}[/tex]
Factor each expression.
4 b²-100
asadsadasdasdaasdsadasd
The factors of the expression are (2b+10) and (2b-10).
A factor in mathematics is an integer that evenly divides another number by itself, leaving no remainder.
We can employ a variety of techniques, including the division method and the multiplication method, to determine the factors of a number.
Factors of an algebraic expression is calculated by factoring the given expression into smaller algebraic expressions.
Now let us factor the given expression.
4 b²-100
This expression can be written in the form of the difference of two squares.
(2b)²-(10)²
We know that (a²-b²) can be factored into (a+b) and (a-b).
So the expression (2b)²-(10)² can be factored into (2b+10) and (2b-10).
Therefore the factors of (4 b²-100) are (2b+10) and (2b-10).
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Divide. (−15)÷(−45) What is the quotient? Enter your answer as a simplified fraction in the box.
PEAESSS DO IT?!!!! HELP
Answer:0.33
Step-by-step explanation:
I used a calculator
How can the subtraction problem 9−4 be rewritten as an addition problem?
Answer:9-4=5 5+4=9
Step-by-step explanation:
3) h(x) = x²+x+9, find h(-2), h(4), and h(0).
The value of h(-2), h(4), and h(0) in the given function is 11, 29 and 9 respectively.
A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.
To determine if a graph represents a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and only ever touches it at one point. The graph is not a function if the vertical line touches it at more than one location.
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Use a double-angle identity to find the exact value of each expression.
sin 90°
Answer:
1
Step-by-step explanation:
[tex]\sin 2x=2\sin x \cos x \\ \\ \sin 90^{\circ}=2\sin 45^{\circ} \cos 45^{\circ} \\ \\ =2(1/\sqrt{2})(1/\sqrt{2}) \\ \\ =2(1/2) \\ \\ =1[/tex]
Consider this right triangle with the given measures.
A triangle has side lengths 5 inches and 12 inches. The hypotenuse is unknown.
What is the length of the hypotenuse?
1. 52 + 122 =c2
2. 25 + 144 =c2
3. 169=c2
The length of the hypotenuse is 13 inches
What is the length of the hypotenuse?A right triangle is a three-sided polygon. For right triangles, the sum of the square of the two sides is equal the square of the longest side. The sum of the angles in a right triangle is 180 degrees of which one of the angles measure 90 degrees.
According of the Pythagorean Theorem, a triangle is a right triangle if the sum of the square of the two sides is equal the square of the longest side.
The Pythagorean Theorem: a² + b² = c²
Where:
a = lengthb = basec = hypotenuse5² + 12² = c²
25 + 144 = c²
169 = c²
c = √169
c = 13 inches
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The other person deserves Brainliest, they put tons of work Into answering the question
Use your knowledge of reference points to write a function for a unique parabola that satisfies the given information.
Given: Vertex (–3,–1);(–3,–1); one of two xx-intercepts (–4,0)(–4,0)
The equation of the parabola is y = (x + 3)^2 - 1
What are parabolic equations?Parabolic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the equation of the parabola?The given parameters are
Vertex = (-3, -1)
X-intercept = (-4, 0)
A parabolic equation has the form y = a(x - h)^2 + k
Where the vertex is (h, k)
This means that, (h, k) is given as
(h, k) = (-3, -1)
Substitute (h, k) = (-3, -1) in the equation y = a(x - h)^2 + k
So, we have
y = a(x + 3)^2 - 1
Next, we substitute (-4, 0) for (x, y) in y = a(x + 3)^2 - 1
So, we have
0 = a(-4 + 3)^2 - 1
This gives
0 = a - 1
Solve for a
a = 1
Substitute a = 1 in y = a(x + 3)^2 - 1
y = (x + 3)^2 - 1
So, the required equation of the parabola is y = (x + 3)^2 - 1
Hence, the equation of the parabola is y = (x + 3)^2 - 1
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What is the solution of each equation? Check your answers.
(c) e³x+5=15
The solution of each equation e³x+5=15 is 0.498.
What is an equation ?e³x+5=15 is
20.0855 x =10
x= 0.498
A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.
Two expressions joined by the equals symbol ("=") form an equation. The "left hand side" and "right hand side" of the equation are the expressions on either side of the equals sign. The right side of an equation is frequently considered to be zero.
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please help me due today aslo will mark branliest for correct answer
What is 02÷53?
Please help me.
Answer:
0.0377358490566038 or 2/53
Step-by-step explanation:
A computer store offers a 5% discount off the list price x for any computer bought with cash, rather than put on credit. At the same time, the manufacturer offers a $ 200 rebate for each purchase of a computer.
c. Suppose the list price of a computer is $ 1500 . Use a composite function to find the price of the computer if the discount is applied before the rebate.
The price of the computer if the discount is applied before the rebate is $1225. The composite function is (g.f)(x) = g(f(x))
What is the composite function to find the price of the computer if the discount is applied before the rebate?
A computer store offers a 5% discount off the list price x for any computer bought with cashThe list price of a computer is $1500 The manufacturer offers a $200 rebate for each purchase of a computer.
(g.f)(x) = g(f(x))
f(1500) = 0.95(1500)
= 1425
g(1425) = 1425-20
= 1225
= $1225
Therefore, The price of the computer if the discount is applied before the rebate is $1225. The composite function is (g.f)(x) = g(f(x))
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stan a local delivery driver is paid $3.50 per mile driven plus a daily amount of $75. on monday he is assigned a route that is 30 miles long. how much is he being paid for that day
What equation relates the x values to the y values in the
function shown?
{(0,4), (2,5), (4, 6), (6,7)}
Answer: y = [tex]\frac{1}{2}[/tex]x + 4
Step-by-step explanation:
First, let us graph the points to see patterns. See attached.
This function is linear, so we can write an equation in slope-intercept form. m is the slope and b is the intercept.
We can find the slope with rise over run. Starting at point (0, 4) and counting up one and over 2 to (2, 5).
y = mx + b
y = [tex]\frac{1}{2}[/tex]x + 4
After a major storm, your math class volunteers to remove debris from yards. The table shows the time t in minutes that it takes a group of n students to remove the debris from an average-sized yard.
a. What function models the time needed to clear the debris from an average-sized yard relative to the number of students who do the work?
As t varies inversely with n , we can use coordinate pair function model.
What is inversely proportional ?The inversely proportional property state that two values are opposite to each other. If there will increase in one value or quantity then the another quantity will automatically decrease with the same ratio or different and if one quantity will decrease then another will increase with that ratio.
Say if x and y are inversely proportional, then mathematically
x ∝ 1 / y
In this question ,
we can use coordinate pair from the table to clear the debris from an average-sized yard relative to the number of students who do the work.
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The complete question is :
After a major storm, your math class volunteers to remove debris from yards. The table shows the time t in minutes that it takes a group of n students to remove the debris from an average-sized yard.
What function models the time needed to clear the debris from an average-sized yard relative to the number of students who do the work?
Can you expand log₃(2x+1) ? Explain.
Using logarithmic expansion, we get expansion for the function log₃(2x+1) is f(x) = {1/log (3)} [2x - 2² . x²/2 + 2³ . x³/3 - 2⁴. x⁴/4 + ....]
According to the question, we need to expand log₃(2x+1) using logarithmic expansion,
Let f(x) = log₃(2x+1)
Using change base rule →logₐ b = logₓ (b) / logₓ (a), x > 0. We get
⇒ log (2x+1) /log (3)
= {1/log (3)} [log (1+2x)] →(1)
Logarithmic expansion: log (1+x) = x - x²/2 + x³/3 - x⁴/4.....∞
Replace '2x' in the place of 'x' in the above logarithmic expansion, we get
log (1+2x) = 2x - (2x)²/2 + (2x)³/3 - (2x)⁴/4.....∞ →(2)
Substitute (2) in equation (1), we get
f(x) = {1/log (3)} [2x - 2² . x²/2 + 2³ . x³/3 - 2⁴. x⁴/4 + ....]
Hence, using logarithmic expansion we get expansion for the function log₃(2x+1) is f(x) = {1/log (3)} [2x - 2² . x²/2 + 2³ . x³/3 - 2⁴. x⁴/4 + ....]
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No we can not expand the given logarithmic expression log₃(2x+1).
The logarithm is exponentiation's opposite function in mathematics. This means that the exponent to which a fixed number, base b, must be raised in order to produce a given number x, is represented by the logarithm of that number.
Based on the logarithm base, the logarithmic functions are broadly divided into two types. There are common and natural logarithms. Common logarithms are based on the number 10, while natural logarithms are based on the base "e." The power to which a number must be raised in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents).
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If x•y=z, which of the following statements is true?
Answer:
B) [tex] \frac{z}{y}= x[/tex]
Step-by-step explanation:
Let's solve for x.
xy=z
Step 1: Divide both sides by y.
xy/y = z/y
x = z/y
-----------------------
Let's solve for y.
xy=z
Step 1: Divide both sides by x.
xy/x = z/x
y= z/x
-----------------------
Let's solve for z.
xy=z
Step 1: Flip the equation.
z=xy
-----------------------
If we look through the options we see only option b is correct, therefore option B is the answer.
Use the linear regression feature on a graphing calculator to find an equation of the line of best fit for the data. Round each value in your equation to the nearest tenth.
An equation which is the best model for a line of fit for the given data is y = 3/4x + 5.
What is a scatter plot?A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.
What is a line of best fit?A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.
By critically observing the graph (see attachment) which models the data in the table above, we can logically deduce that an equation for the line of best fit is given by y = 3.7x + 0.3.
In conclusion, an equation which is the best model for a line of fit for the data is y = 3/4x + 5.
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Find the two solutions to this equation:
(5x – 1)(x – 2) =0
Give each of your answers as an integer or a fraction in its simplest form.
Step-by-step explanation:
[tex](5x - 1)(x - 2) = 0 \\ 5x - 1 + x - 2 = 0 \\ 5x + x = 0 + 2 + 1 \\ 6x = 3 \\ 6x = 3 \\ 6 \: \: \: \: \: \: \: \: \: \: \: \: 6 \\ x = \frac{1}{2} [/tex]
Find the inverse of each function. Determine if the inverse is a function.
y=6-x
The inverse of function y=6-x is y = -x+6.
How to find the inverse of each function?given that the function is y=6-x.
A function that can reverse into another function is known as an inverse function or anti function. A function takes in values, applies specific operations to them, and produces an output. In order to find y when x is swapped with another variable, we must first determine the inverse function. On the other hand, the inverse function and the original function likewise have interchangeable domains and ranges.
Here,inverse is a function
now, interchange the x and y places.
x = 6 - y
x - 6 = -y
y = -(x-6)
y = -x + 6
Hence, the inverse of function y=6-x is y = -x+6
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What is the length of segment AB? (1 point) Coordinate grid shown from negative 8 to positive 8 on both x axis and y axis at intervals of 1. A straight line labeled AB is drawn. A is the ordered pair 0, 6 and B is the ordered pair 7, 0. a Square root of 13 b Square root of 85 c 13 d 14
The distance between points A and B is 9.22units, approximately.
This is further explained below.
What is the length of segment AB?Generally, In the image attached, you can observe a representation of the problem.
We have to find the distance between points A and B, which have coordinates (7,0) and (0,6), respectively.
The definition of distance between two given points is
[tex]d=\sqrt{\left(y_2-y_1\right)^2+\left(x_2-x_1\right)^2}[/tex]
Using points A and B, the distance between us
[tex]&d_{A B}=\sqrt{(7-0)^2+(0-6)^2}\\\\d_{A B}=\sqrt{49+36}\\\\\ d_{A B}=\sqrt{85} \\\\&d_{A B} \approx 9.22[/tex]
In conclusion, the distance between points A and Ais 9.22 units, approximately.
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help pleaseeeeeeeeeee ty
Answer:
ALWAYS TRUE
Step-by-step explanation:
ab/ac is just a(b/c) simplified
Answer:
Step-by-step explanation:
sometimes
What is the unit price 6 juice boxes for $8.49
Answer:$1.415
Step-by-step explanation: We divide the price of certain number of units of an item by the number of units to find the unit price of that item. For example, to find the unit price of 12 ounces of soup that costs $2.40, divide $2.40 by 12 ounces, to get unit price of soup as $0.20 per ounce.
For the equation 2x-y=1 , if x=2 then y=?
y=3
Step-by-step explanation:
2x-y=1
if x=2 then
2(2)-y=1
4-y=1
y= 4-1
y=3.
Answer:
y = 3
Step-by-step explanation:
2x - y = 1 ← substitute x = 2 into the equation
2(2) - y = 1
4 - y = 1 ( subtract 4 from both sides )
- y = - 3 ( multiply both sides by - 1 )
y = 3
Find the size of the angle XYZ. Give your answer to 1 decimal place
Which law would you use to simplify the expression (p/q) 3
power of a power
power of a quotient
quotient of powers
power of a product
The power of quotients will be the law that would be used to simplify the expression. The correct option is B.
What is the power of quotients?It should be noted that this is a mathematical rule that states that the power of a quotient is the same thing as the quotient that is gotten.
Given that the numerator p and the denominator q are raised to to the power expressed in the question separately.
The division will be:
(p/q)³
= p³ / q³
Therefore, the power of quotients will be the law that would be used to simplify the expression.
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1-98 a line passes through the point (-3,20) and has a slope of -6. Write the equation of this line in point-slope form
The standard form for the linear equation is y=6a+38.
Linear FunctionAn equation can be represented by a linear function. The standard form for the linear equation is: y= ax+b , for example, y=5x+3. Where:
a= the slope.
b= the constant term that represents the y-intercept.
For the given example: a=5 and b=3.
The question gives:
- the value of the slope (a) = 6
- the coordinates of a point = (-3,20)
Thus, you can write from the question information :
y=ax+b
20=6*(-3)+b
20=-18+b
b=20+18=38
Therefore, the standard form for the linear equation is:
y=6a+38
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Your family is having pizza for dinner. Your mom asks you to
divide the 2 pizzas so everyone gets an equal amount. How
many servings of size can you make out of the 2 pizzas?
Answer: Ok, So It will make sense if you cut the pizza in 8 for everyone can get two depending on how many people they are.
Step-by-step explanation:
Pablo says that 9^0/9^0 is undefined because you cannot divide by zero. Is he correct? Explain
[tex]\cfrac{9^0}{9^0}\implies \cfrac{1}{1}\implies 1 ~~ \ne ~~ und efined[/tex]
A company charges a fee of $2000 plus $3 per mile to transport some equipment by truck. Which graph shows the relationship between the number of miles the truck is driven and the cost for transporting the equipment?
a.) b.) c.) or d.) ?
The graph that shows the relationship between the number of miles the truck is driven and the cost for transporting the equipment is option c.
Which graph represents the cost of transporting the equipment?The $2000 fee that is charged by the company represents a fixed cost. Fixed cost is the cost that remains constant regardless of the mile travelled. The $2 per mile represents the variable cost. Variable cost is the cost that increases as the mile travelled increases. The total cost is the transporting the equipment is the sum of the fixed cost and the variable cost.
A graph can be described as a pictorial representation of data. A graph is made up of a x-axis and a y-axis. The graph should start at $2000 and slope upward. The graph would slope upward representing the increasing variable cost function.
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