Answer:
[tex]y-2=3(x-4)[/tex]
Step-by-step explanation:
Pre-SolvingWe are given that a line has a slope (m) of 3 and passes through (4, 2). We want to write this equation in point-slope form.
Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and [tex](x_1,y_1)[/tex] is a point.
SolvingWe can substitute what we know into the equation.
First, substitute 3 as m.
[tex]y-y_1=3(x-x_1)[/tex]
Now, substitute 4 as [tex]x_1[/tex] and 2 as [tex]y_1[/tex].
[tex]y-2=3(x-4)[/tex]
Rewrite 6 as a decimal number.
When calculated, the two differences given below are equal.
(2x^4-3x^3+2x+4)-(-x^4-3x^3+4x^2+x+3)
5x^4-2x^3+3x^2+3x-4
-(2x^4-2x^3+7x^2+2x-5)
-------------------------
A. True
B. False ...?
Ms.ford is 48 and ms.lincoln is 35. how many years ago was ms.ford exactly twice as old as ms.lincoln
Algebraic equation is a mathematical way of expressing the way in which two expression are set equal to each other with given conditions. Using the algebraic equation we get that the age of the ms. Ford was exactly twice as old as ms. Lincoln. before 22 years ago.
Given-
The age of the Ms. Ford is 48.
The age of the Ms. Lincoln is 35.
What is Algebraic equation ?Algebraic equation is a mathematical way of expressing the way in which two expression are set equal to each other with given conditions.
Let x years ago the age of the ms. Ford was exactly twice as old as ms. Lincoln.
Thus x years ago the age of the ms. Ford was [tex](45-x)[/tex]
x years ago the age of the ms. Lincoln was [tex](35-x)[/tex].
Make a equation using the given information. As the x years ago the age of the ms. Ford was exactly twice as old as ms. Lincoln. Therefore,
[tex](48-x)=2(35-x)[/tex]
[tex]48-x=70-2x[/tex]
[tex]2x-x=70-48[/tex]
[tex]x=22[/tex]
Hence, the age of the ms. Ford was exactly twice as old as ms. Lincoln. before 22 years ago.
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A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. Taylor is in a hurry to make breakfast and picks something from the basket at random.
what is the exact probability that she picks an egg?
Answer: 29/40 (PLATO)
Have a good day!
A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline?
List the sample space for rolling two dice and finding the sum of the numbers. How many 8's are there in the sample space? [Assume that rolling a 3 and a 5 is the same as rolling a 5 and a 3.]
A class of 28 students. the ratio of girls of 3 girls 4 boys. what is the ratio for the number of boys to total number students in the class?
The scale factor of the blueprint of a garage door to the actual garage door is 0.05. the are of the actual garage door is 220 ft^2.
What is the area of the garage door on the blueprint?
A. 0.55ft^2
B. 5.5ft^2
C. 11ft^2
D. 55ft^2
Answer:
option A
[tex]0.55\ ft^{2}[/tex]
Step-by-step explanation:
Let
x-------> the area of the garage door on the blueprint
y------> the area of the actual garage door
z------> scale factor
we know that
The scale factor squared is equal to the area of the garage door on the blueprint divided by the area of the actual garage door
so
[tex]z^{2}=\frac{x}{y}[/tex]
In this problem we have
[tex]z=0.05, y=220\ ft^{2}[/tex]
substitute the values and solve for x
[tex]0.05^{2}=\frac{x}{220}[/tex]
[tex]x=220(0.05^{2})[/tex]
[tex]x=0.55\ ft^{2}[/tex]
What is the slope of a line that runs parallel to y = x + 14?
Two equations are given below:
a – 3b = 28
a = b – 2
What is the solution to the set of equations in the form (a, b)?
(–12, –10)
(–15, –13)
(–17, –15)
(–18, –16)
Estimate 24% of 33.
a) 17
b) 12
c) 8
d) 2
Sales tax on an item is directly proportional to the cost of the item purchased if the tax on a $600 item is $36 what is the sales tax on a $950 item?
The sales tax on the item costs $950 is $57.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Given that, the cost of the item purchased if the tax on a $600 item is $36.
Now, rate of sales tax =36/600 ×100
= 6%
The sales tax on a $950 item is
6% of 950
= 0.06×950
= $57
Hence, the sales tax on the item costs $950 is $57.
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What is the common difference d of the sequence?
9, −8, −25, −42, −59, ...
Using the side lengths of △PQR and △STU, which angle has a sine ratio of 4/5?
A. P
B. Q
C. T
D. U
Using the side lengths of △PQR and △STU, which angle has a sine ratio of 4/5?
Answer is A. ∠P
The angle that has the sine ratio, 4/5, is: A. Angle P.
What is the Sine Ratio?Sine ratio is the ratio of the opposite side over the hypotenuse of the right triangle in respect to the given reference angle.
Given, sine ratio of 4/5, then it means:
Opposite side (side directly opposite to the reference angle) = 4
Hypotenuse (longest side) = 5.
Thus, in the image given, using P as the reference angle, the sine ratio of P is:
QR/PQ = 16/20 = 4/5
Therefore, the angle with the sine ratio of 4/5 is: A. P.
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how many times does 8 go into 64
A BOOKSTORE ORDERED 2 GROSS, 11 DOZEN AND 7 PENCILS. EXPRESS THIS NUMBER IN BASE TWELVE AND BASE TEN? ...?
A ruler is 12 inches long.what is the length of this ruler in centimeters
express r=2cos(theta)+2sin(theta) as a cartesian function.
Which is the last operation performed when evaluating (8-2x)^2+4 for x=3
addition
multiplication
subtraction
applying the exponent
The last operation performed when evaluating (8-2x)^2+4 for x=3 is the addition operation.
Functions and valuesEquations are known to make up of variables and constants. Given the expression;
(8-2x)^2+4
If x = 3, substitute into the expression to have:
(8-2x)^2+4
= (8-2(3))^2+4
= (8 - 6)^2 + 4
Evaluate the expression in parenthesis
= 2^2 + 4
= 4 + 4
Add the resulting expression
(8-2x)^2+4 = 8
Hence the last operation performed when evaluating (8-2x)^2+4 for x=3 is addition operation
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What part of the coordinate plane is equidistant from the points A(-3,2) and B(3,2)? Explain your answer.
Answer;
(0,2)
Step-by-step explanation:
What are the values for the coefficients and constant term of 0 = 2 + 3x2 – 5x?
A=
B=
C=
Keywords:
Polynomial, variable, coefficients, constant term.
For this case, the first thing we must do is rewrite the polynomial in a standard way. For this, we reorder the polynomial coefficients.
The standard form of the polynomial is:
[tex]ax ^ 2 + bx + c[/tex]
Where,
a, b, c: are the coefficients of the polynomial.
x: is the variable
Rewriting the polynomial we have:
[tex]3x ^ 2-5x + 2[/tex]
Comparing with the standard form we have that the values of the coefficients are given by:
[tex]a = 3\\b = -5\\c = 2[/tex]
Answer:
The values for the coefficients and constant term are:
[tex]a = 3\\b = -5\\c = 2[/tex]
Answer:
a= 3 b= -5 c=2
Step-by-step explanation:
i just did it on edge
6w-y=2z, Solve for the value of w
which of PQ and QR contains P
A farmer wants to build a pen for his sheep. One side of the pen will be a river. The sheep need about 2000 m2 of area to graze. About what length (x) and width (y) should the organization use to use the LEAST amount of fencing possible?
What is substitution property of equality?
find the quotient of 1 1/3 and 5/6..
Can you please show me the steps? thank u ...?
Jackie has some yellow, red, green, and blue cubes. Exactly 1/6 of the cubes are blue and 1/8 of the cubes are red. What is the number of cubes Jackie might have?
Your office manager used 45 paperclips for handouts at his presentation from the 450 paperclips available in the stock room. What percentage of the original number of paperclips did NOT get used?
Answer:
90% of paperclips did not get used.
Step-by-step explanation:
Your office manager used 45 paperclips for handouts at his presentation from the 450 paperclips available in the stock room.
We have to calculate the percentage of the original number of paperclips did not get used.
number of paperclips did not get used = 450 - 45 = 405
the percentage of 405 out of 450 = [tex]\frac{405}{450}[/tex] × 100
= 0.9 × 100
= 90%
Therefore, 90% of paperclips did not get used.
You take out a cash advance of $2,790.00 on a credit card with a 3.5% cash advance fee and a 13.5% APR. What is the amount due by the end of the month?
Answer:
$2,920.14Step-by-step explanation:
cash advance fee: $2,790.00 * 0.035 = $97.65original principal: $2,790.00 + $97.65 = $2,887.651st month interest accrued: ($2,887.65) (0.135)(1/12) = $32.49total due at end of 1st month: $2,887.65 + $32.49 = $2,920.14Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books. Create an equation that can be used to find m, the number of books Rachel sold on Monday.