help me pleasee!!
thank you
Step-by-step explanation:
so, we need to get the slope-intercept form
f(x) = y = ax + b
"a" is as always the slope, "b" is the y-intercept (the y-value when x = 0).
as we have the slope and a point, we can start with the point-slope form and transform it :
y - y1 = a(x - x1)
with (x1, y1) being a point on the line.
y - 7 = -9(x - 2) = -9x + 18
y = -9x + 25
therefore, the functional equation is
f(x) = -9x + 25
Consider the equations 3(−2)(+3)=0 and (2−4)(3+9)=0.Do they have the same solutions? Justify your answer.
First equation
3(x−2)(x+3)=0
3 is multiplying on the left, then it will divide on the right.
(x−2)(x+3) = 0/3
(x−2)(x+3) = 0
The solutions are:
x - 2 = 0 or x + 3 = 0
that is, x = 2 and x = -3
Second equation
(2x−4)(3x+9) = 0
The solutions are:
2x − 4 = 0
x = 4/2
x = 2
or 3x+9 = 0
x = -9/3
x = -3
Then, they have the same solutions.
What is the equation of the line that is parallel to y=-3x+4 and that passes through (-2,-2)?
0--1-1
Consider the expression.5n -2 =9Which statement best describes this expression?O A number less than two times five is 9.O Five times a number subtracted from two equals 9.O Five minus two times a number equals 9.Two less than five times a number is 9.
1) Looking at that expression
5n -2= 9
Since the expression is written this way, we can assume the wording is
Five times a number subtracted from two equals 9.
Because the number, n is 1 unit, then. We can read like that.
Help please show your work please
Using Subtraction, At least 15 more people are required to register for the swimming class to held.
What does math subtraction mean?To remove anything from a set or a group of items in mathematics is to take that item away. The total number of elements in the group decreases or decreases when we subtract from it.
What different types of subtraction are there?There are actually three methods to understand subtraction: taking away. Part-whole. Comparison.
Given:
No. of people required to start the class = 24
no. of people registered = 9
Therefore no. of people required = 24 - 9
= 15 people
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c. (a²-5a + 3)(a −2)-¹
Long devision
The most appropriate choice for division will be given by-
Quotient = [tex]a - 3[/tex] and remainder = -3
What is division?
For finding the value of single unit from the value of multiple unit, division is used.
Division can be used for integers as well as for algebraic polynomials.
The expression which is divided is known as dividend.
The expression by which the dividend is divided is known as divisor.
The result obtained on division is called the quotient and the part which is remaining is called the remainder.
There is a well known formula in case of division.
Divisor [tex]\times[/tex] Quotient + Remainder = Dividend
The long division has been shown here-
[tex]\begin{array}{r}a-3\phantom{)} \\a-2{\overline{\smash{\big)}\,a^2-5a+3\phantom{)}}}\\\underline{-~\phantom{(}(a^2-2a)\phantom{-b)}}\\-3a+3\phantom{)}\\ \underline{-~\phantom{()}(-3a+6)}\\ -3\phantom{)}\end{array}[/tex]
Here Quotient = [tex]a - 3[/tex] and remainder = -3
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Please help I would appreciate it. Solve 4x^2-4x-8 needs to be factored.
Given
[tex]4x^2-4x-8[/tex]This can be written as:
[tex]4(x-2)(x+1)[/tex]
which is he mode of this data set? 55, 78, 43, 39, 78, 61, 75, 75, 43, 78
What number is a reasonable estimate for 39x241 8000 2 14000 3 800 4 1400
In this case, we'll have to carry out several steps to find the solution.
Step 01
Data:
reasonable estimate = ?
39x24
Step 02:
39x24 = 936
reasonable estimate = 800
The answer is:
reasonable estimate = 800
simplify with three algebraic terms
0.3p+0.2p+0.4p
The simplified form of the three algebraic terms 0.3p + 0.2p + 0.4p is 0.9p
The three algebraic terms are
0.3p + 0.2p + 0.4p
The algebraic expression is defined as the expression which is made up of constants and variables with the algebraic operation. The algebraic operations are addition subtraction, division and multiplication
To solve this problem first we have to group the like terms of the given expression and add the like terms of the expression
The three algebraic terms are
= 0.3p + 0.2p + 0.4p
Group the like terms
= (0.3 + 0.2 + 0.4) ×p
Add the terms together
= 0.9p
Hence, the simplified form of the three algebraic terms 0.3p + 0.2p + 0.4p is 0.9p
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PLEASE HELP IT FOR FINALS 15. Complete the paragraph proof below by selecting the missing justification. Given: CB bisects ZABD and ZACD. Prove: AABC ADCB А B n C D Gred that CB bisects ZABD and ZACD then by definition of angle bisector LABCLDBC and LACBEZDCB. Next, BC & CB by the Therefore by ASA, AABC ADCB Answer choices -Reflexive Property of CongruenceDefinition of Congruent Segments CPCTCTransitive Property of Congruence
Solution
For this case we can see that the correct solution would be;
Given that CB bisects angle bisector theorem
Therefore by ASA. Triangle ABC = Triangle DCB
What is -|-16| +(-8)*5²
Change the proper fraction below to a decimal.
31/200
31/200 converted from a proper fraction to a decimal is 0.155.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
We can convert this proper fraction 31/200 into a decimal by first eliminating the zeroes and moving a decimal point from right to left to as many places as zeroes.
∴ 31/200.
= 0.31/2.
Now, we know that 30/2 is 15 and 32/2 is 16.
So, 31/2 must be 15.5.
∴ 0.31/2.
= 0.155.
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Hello, I need help with task 3 which has 3question as it is part of one big question. Therefore 30 for a question for each. These questions are connected to previous ones so, I will send an image of the other two task
Task 3 (of 3)
Part 1: In this case the probabilitie that a person saw resould and receive the power pill is 0.65, so in order to have a trustable resould should be more than 95% to be certan. How ever I think that with a probabiliti of more that the 70% could wor. So in this case a probabilitie of 65% is not enogh to produce or dristribute.
Part 2: We can compare the resoulds of group A and group B and the resoulds of group C vs the resould in group D so we check if telling the subject affect anything.
So for group A and B are 0.15 and 0.175 so there is no significant difference and for C and the are 0.125 and 0.1 so there is again not significant effect.
Part 3: In this case maybe a better way to made the experiment is to take a bigger poblation, becuase each group has to low participants. if we have more particiants we can have better resoulds. Also we can calculate a standart deviation to be sure of the difference between the groups.
5m-2 = 12m -16
SOLVE
Answer:
m=2
Step-by-step explanation:
m=2 is the answer hope this helped
Answer:
m=2
Step-by-step explanation:
Follow this step by step solution.
Hope this was helpful.
Find a and b such that
The coefficients (a, b) = (4, 2) are the solutions to the system formed by three equations with two variables.
How to find the coefficients associated with a linear coefficient
In this problem we must determine the values of two coefficients associated with a linear combination, which is equivalent to the following system of linear equations:
a + 4 · b = 12
a - b = 2
- 3 · a + 5 · b = - 2
Since the number of equations is greater than the number of variables, there are two posibilities: (i) No solution, (ii) A solution. Now we find the solution to the system formed by the first and second equations:
a + 4 · b = 12
a - b = 2
(a, b) = (4, 2)
Now we check in the third equation:
- 3 · 4 + 5 · 2 = - 2
- 12 + 10 = - 2
- 2 = - 2 (TRUE)
The coefficients (a, b) = (4, 2) are the solutions to the system.
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Arrange the equations in the correct sequence to rewrite the formula for displacement, ,
D=VT-1/2at^2
to find a. In the formula, d is displacement, v is final velocity, a is acceleration, and t is time.
The solution of the equation for a is a = 2(vt - d)/t²
What is subject of formula?Subject of formula involves isolating a variable in an equation different from the initial isolated variable
How to determine the equation for a?The equation is given as
d = vt - 1/2at²
From the question, we have
d is displacementv is final velocitya is accelerationt is time.Subtract vt from both sides of the equation
d - vt = - 1/2at²
Multiply both sides by -2
at² = 2(vt - d)
Divide both sides by t²
So, we have the following equation
a = 2(vt - d)/t²
Hence, the solution is a = 2(vt - d)/t²
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I need help question
∫ 4 dt
integrate with respect to t
power rule
(x^n + 1)/(n + 1)
but you dont really need to go through all that for this
answer is 4t + c
because the derivative of 4t + c is just 4
One triangle has a height of 15 feet and a base length of 8 feet. It is proportional to a second triangle that has a height of 375 feet. What is the length of the second triangle's base (Hint: draw a visual and set up a proportion)O A 20OB. 28OC 30O 0.70
Using the data from the question, we draw the following triangles:
The dimensions are in feet.
Now, the two triangles are proportional, so if we compute the ratio between the height and the basis of the first triangle, and then we do the same with the second, we must obtain the same number:
[tex]r=\frac{h_1}{b_1}=\frac{h_2}{b_2}[/tex]Replacing the dimensions of the triangles in the last equation, we get:
[tex]\begin{gathered} \frac{h_1}{b_1}=\frac{h_2}{b_2} \\ \frac{15}{8}=\frac{375}{b_2} \end{gathered}[/tex]From the last equation we can compute b2, the basis of the second triangle, doing that we find that:
[tex]\begin{gathered} \frac{15}{8}=\frac{375}{b_2} \\ 15\cdot b_2=375\cdot8 \\ b_2=\frac{375\cdot8}{15} \\ b_2=200 \end{gathered}[/tex]So the second triangle's base is:
[tex]b_2=200[/tex](in feet)
Answer
A. 200
The length of a rectangle is three more than twice the width. Determine the dimensions that give a total area of 27ft squareda. create an equation in terms of w to model this situationb. what are the solutions to this equation c. What are the length and width of the rectangle
ok
Area = 27ft^2
length = l
width = w
Equation
l = 2w + 3
Section A
Area
A = l*w
A = (2w + 3)* w or A = 2w^2 + 3w
27 = 2w^2 + 3w
2w^2 + 3w - 27 = 0 This is the equation
Section B
2w^2 - 6w + 9w - 27 = 0
2w(w - 3) + 9(w - 3) = 0
(w - 3)(2w + 9) = 0
w1 - 3 = 0 2w + 9 = 0
what is the solution set?
Answer:
the set of all the solutions of an equation or condition.
Which of the following expressions are equivalent to 36x + 24y? Choose ALL that apply.
Notice how the coefficients of 'x' and 'y' are both divisible by 4, therefore:
[tex]36x+24y=4(9x+6y)[/tex]So, the equivalent expression of 36x+24y is 4(9x+6y)
At a restaurant, the bill comes to $40. You decide to leave a 15% tip. How much did you leave for the tip?
The tip of 15% is 15% of the total value of the bill, which is $40. So, we need to take 15% of 40.
Taking 15% of 40 is the same as multiplying 15% by 40. 15% can also be written as:
[tex]15\%=\frac{15\%}{100\%}=0.15[/tex]So, we can take 15% of 40 by multiplying 0.15 by 40:
[tex]0.15\cdot40=6[/tex]So, the amount left for the tip is $6.
A line has a slope of -8 and passes through the point (0,5)
A line has a slope of -8 and passes through the point (0,5)
Find out the equation of the line in slope-intercept form
y=mx+b
where
m is the slope
b is the y-coordinate of the y-intercept
in this problem
m=-8
b=5
therefore
y=-8x+5 -----> equation of the line in slope-intercept formFind the nth term of this quadratic sequence
3, 11, 25, 45, …
Using the principle of mathematical induction, the [tex]n^{th }[/tex] term of the given quadratic sequence is found to be 3n² - n + 1.
What exactly is mathematical induction?Mathematical induction is a technique for proving the truth of a statement, theorem, or formula for each and every natural number n. This is generalized as the 'Principle of Mathematical Induction,' which we would use to prove any mathematical statement.Given sequence: 3, 11, 25, 45,...
The first term of the sequence is 3, the second term is 11, the third term is 25, and the fourth term is 45.
The difference between the first and second terms can be calculated as follows:
11-3 = 8
The difference between the second and third terms can be calculated as follows:
25-11 = 14
The difference between the third and fourth terms can be calculated as follows:
45-25 = 20
The sequence is expressed as follows:
3,3+8,11+11,25+20,...
The difference between consecutive terms expands by 6.
Use the principle of mathematical induction.
[tex]6(\frac{n(n+1)}{2})[/tex]
= 3n(n+1)
The sequence's nth term can be calculated as follows:
[tex]n^{th }[/tex] term = 3n(n+1) - 4n + 1
= 3n² - n + 1
Therefore, the [tex]n^{th }[/tex] term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.
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A shopkeeper wants to sell a shirt originally priced at $120. Which deal will result in the greatest sale price of the shirt?A. 20% offB. $30 couponC. 15% off and then a $15 rebateD. 10% off and then a $20 rebate
Let's determine which sale is better.
20% means that the shirt will cost:
[tex]120(0.8)=96[/tex]$30 coupon means that the shirt will cost $90
15% off and $15 rebate means:
[tex]120(0.85)-15=87[/tex]10% off and $20 rebate means:
[tex]120(0.9)-20=88[/tex]Comparing the prices we conclude that the best deal is C
f(x) = -x^2 - 10x - 13 Find f(-2)
Answer: f(-2) = 3
The the below quadratic function
[tex]f(x)=-x^2\text{ - 10x - 13}[/tex]Find f(-2). To find f(-2) let x = -2
[tex]\begin{gathered} f(-2)=-(-2)^2\text{ - 10(-2) - 13} \\ f(-2)\text{ = -(4) -10(-2) - 13} \\ f(-2)\text{ = -4 + 20 - 13} \\ f(-2)\text{ = 16 - 13} \\ f(-2)\text{ = 3} \end{gathered}[/tex]Find the area of this trapezoid. Be sure to include the correct unit in your answer.14 ft16 ft7 ft17 ft
The area of a trapezoid can be found through the formula
[tex]A=\frac{a+b}{2}\cdot h[/tex]where a and b are the bases and h the height, then,
[tex]\begin{gathered} A=\frac{14+7}{2}ft\cdot7ft \\ A=10.5ft\cdot7ft \\ A=73.5ft^2 \end{gathered}[/tex]Find the equation of the line through the point (1,-1) with
slope 4?
Answer:
4x - y - 5 = 0
Step-by-step explanation:
Given:
Slope = m = 4
(x1,y1) = (1,-1)
Solution:
y - y1 = m (x - x1)
y - (-1) = 4 (x - 1)
y + 1 = 4x - 4
y = 4x - 4 - 1
y = 4x - 5
4x - y - 5 = 0
$825 due in 3 years at 10% compounded annually.
Given: Principal, P=$825
Rate, R=10% compounded annually
Time, t=3 years.
Required: To find the amount after 3 years.
Explanation: The amount, A after t years at r% rate is given by
[tex]A=P(1+\frac{r}{100})^t[/tex]Putting the values we get
[tex]\begin{gathered} A=825(1+\frac{10}{100})^3 \\ A=1098.075\text{ \$} \end{gathered}[/tex]Final Answer: The amount after 3 years is $1098.075.
