What is an equation of a line that is perpendiculauation is 2y=3x-10 and passes through -6,1?
Answers
3(y -1) = -2(x +6)
Related Questions
Write an inequality for the sentence. Then solve the inequality. Fifteen less than a number is at most 6.
pls help
Answers
The requried inequality for the sentence is x - 15 ≤ 6 and the solution to the inequality is x ≤ 21.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
The inequality for the sentence "Fifteen less than a number is at most 6" can be written as:
x - 15 ≤ 6
where x represents the unknown number.
To solve for x, we will add 15 to both sides of the inequality:
x - 15 + 15 ≤ 6 + 15
Simplifying,
x ≤ 21
Therefore, the solution to the inequality is x ≤ 21.
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what is 1,000,000,000 x 1,000,000,000
Answers
That is the answer
thats the awnser
A field project superintendent earns an annual salary of $72,800, and she contributes $7900 per year to her 401(k) plan. If she has a required deduction for income taxes (federal, state, and local combined) of 28% of pretax income, how much does she have withheld in income taxes per year?
Answers
What this means in terms of the question is that we should deduct the $7,900 first and then take 28% of what is left for taxes.
This person's salary is $72,800 a year and they set aside $7,900 for their retirement account (401K) so that leaves $72800-$7900 = $64,900
She now pays taxes of 28% on this amount ($64,900). Percent means "out of 100" so 28% means [tex] \frac{28}{100}=.28 [/tex] and to find 28% of 64900 we multiply (64900)(.28) = $18172.
That is she has $18,172 withheld in taxes each year.
helpppppppppppppppppppppppp
Answers
[tex] x^{2} -2x-3[/tex] to do this we'll need to find two number whose product is -3 and its sum is -2; those numbers are 1 and -3, so:
[tex] x^{2} -2x-3=(x+1)(x-3)[/tex]
Now we can rewrite our rational function as follows:
[tex]f(x)= \frac{x-3}{(x+1)(x-3)} [/tex]
Notice that we have a common factor (x-3) in both numerator and denominator; therefore we can cancel them:
[tex]f(x)= \frac{1}{x+1} [/tex]
Taking all the above into consideration we realize that x=3 is a removable discontinuity; the correct answer is the first one: there is a hole in x=3 and asymptote at x=-1.
Write an equation of the line pictured in the graph.
Answers
Steve ordered plastic cases for storing his baseball cards. Each case has a length of 12 centimeters, a width of 6.5 centimeters ,and a height of 1.25 centimeters, what is the volume, in cubic centimeters, of one baseball card case?
Answers
The volume of a rectangular prism is given by:
V = (L) * (W) * (H)
Where,
L: length
W: width
H: height.
Substituting the values we have:
V = (12) * (6.5) * (1.25)
V = 97.5 cm ^ 3
Answer:
the volume, in cubic centimeters, of one baseball card case is:
V = 97.5 cm ^ 3
Answer:
97.5
Step-by-step explanation:
PLEASE HELP
7.03
1. Write the sum using summation notation, assuming the suggested pattern continues.
1 - 3 + 9 - 27 + ...
A) summation of one times three to the power of n from n equals zero to infinity
B) summation of one times three to the power of the quantity n plus one from n equals zero to infinity
C) summation of one times negative three to the power of n from n equals zero to infinity
D) summation of one times negative three to the power of the quantity n plus one from n equals zero to infinity
2. Write the sum using summation notation, assuming the suggested pattern continues.
-4 + 5 + 14 + 23 + ... + 131
A) summation of the quantity negative four plus nine n from n equals zero to fifteen
B) summation of negative thirty six times n from n equals zero to fifteen
C) summation of the quantity negative four plus nine n from n equals zero to infinity
D) summation of negative thirty six times n from n equals zero to infinity
3. Write the sum using summation notation, assuming the suggested pattern continues.
25 + 36 + 49 + 64 + ... + n2 + ...
A) summation of n squared from n equals five to infinity
B) summation of n minus one squared from n equals five to infinity
C) summation of n squared from n equals six to infinity
D) summation of n plus one squared from n equals five to infinity
4. Find the sum of the arithmetic sequence.
-1, 2, 5, 8, 11, 14, 17
A) 56
B) 63
C) -7
D) 20
5. Find the sum of the geometric sequence.
1, one divided by four, one divided by sixteen, one divided by sixty four, one divided by two hundred and fifty six
A) 341
B) one divided by one hundred and ninety two
C) one divided by seven hundred and sixty eight
D) three hundred and fourty one divided by two hundred and fifty six
6. Find the sum of the first 8 terms of the sequence. Show all work for full credit.
1, -3, -7, -11, ...
Answers
1, -3, -7, -11, -15, -19, -23, -27...
sum:
8/2 (1 + -27)
8/2 (-26)
-104
Problem 1. Write the sum using summation notation, assuming the suggested pattern continues.
1 - 3 + 9 - 27 + ...
Answer: option C) summation of one times negative three to the power of n from n equals zero to infinity
Explanation:
1) Sequence: 1 - 3 + 9 - 27: given
2) ratio of two consecutive terms:
- 3 / 1 = - 3
9 / (-3) = - 3
-27 / (9) = - 3
=> ratio = - 3 means that every term is the previous one multiplied by - 3
3) terms
First term: 1 * (-3)^0 = 1
Second term: 1* (-3)^1 = - 3
Third term: 1 * (-3)^2 = 9
Fourth term: 1 * (-3)^3 = - 27
So, the summation is:
∞
∑ 1 * (-3)^n ,
n=0
which is read summation of one times negative three to the power of n from n equals zero to infinity => option C.
Problem 2. Write the sum using summation notation, assuming the suggested pattern continues.
- 4 + 5 + 14 + 23 + ... + 131
Answer: option A) summation of the quantity negative four plus nine n from n equals zero to fifteen
Probe the statement A):
15
∑ (- 4 + 9n)
n=0
Now develop that summation: - 4 +9(0) - 4+ 9(1) - 4 + 9(2) - 4 + 9(3) +....+ - 4 + 9(15) = - 4 + 5 + 14 + 23 + 131
Which is the very same sequence given.Therefore, the first statement if right.
Problem 3. Write the sum using summation notation, assuming the suggested pattern continues.
25 + 36 + 49 + 64 + ... + n^2 + ...
Answer: option A) summation of n squared from n equals five to infinity
Explanation
First term: 25 = 5^2
Second term: 36 = 6^2
Third term: 49 = 7^2
Fourth term: 64 = 8^2
nth term n^2
last term: the sequence is infinite
So, you can see that the sequence is the sum of the square of the integers from n = 5 to infinity =
∞
∑ (n^2)
n = 5
which is what summation of n squared from n equals five to infinity means.
Problem 4. Find the sum of the arithmetic sequence.
-1, 2, 5, 8, 11, 14, 17
Answer: option A) 56
Explanation:
You just have to sum all the terms (since they are few numbers that is the best way): - 1 + 2 + 5 + 8 + 11 + 14 + 17 = 56
Answer: 56
Problem 5. Find the sum of the geometric sequence.
1, one divided by four, one divided by sixteen, one divided by sixty four, one divided by two hundred and fifty six
Answer: option D) 341 / 256
Explanation:
Write in form of fractions: 1 + 1/4 + 1/16 + 1/64 + 1/256
You'd better use the formula for the summation of a geometric sequence
k
∑ A * (r^n) = A * (1 - r^k) / (1 - r)
n=1
In this case: r = 1/4 (the ratio)
k = 5 (the number of terms)
A = 1 (the first term)
=> The sum = 1 * [1 - (1/4)^5 ] / [ 1 - 1/4], which when you simplify turns into 341 / 256 which is the option D.
Problem 6. Find the sum of the first 8 terms of the sequence. Show all work for full credit.
1, -3, -7, -11, ...
Answer: - 104
Explanation:
You can either sum the 8 terms or use the formula for the sum of an aritmetic sequence.
I will sum the 8 terms.
Note the the constant distance to sum is - 4, so the sum of the first eight terms is:
1 - 3 - 7 - 11 - 15 - 19 - 23 - 27 = - 104
Lauren is shopping and finds 6 bracelets, 2 pairs of earrings, and 3 necklaces that she likes. How many ways can Lauren select 4 pieces of jewelry to buy?
Answers
the formula for a combination is
[tex]C(n,r)= \frac{n!}{r!(n-r)!} [/tex]
where n is a total number of choices ( 11 )
and r is number chosen out of those choices (4)
so
C(11,4)= \frac{11!}{4!(11-4)!}
She has 330 possible choices to come home with 4 pieces of jewelry
There are 330 ways can Lauren select 4 pieces of jewelry to buy.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Lauren is shopping and finds 6 bracelets, 2 pairs of earrings, and 3 necklaces that she likes.
Now, We have;
Total number of jewelry = 6 + 2 + 3 = 11
Hence, Number of ways can Lauren select 4 pieces of jewelry to buy is,
⇒ ¹¹C₄
⇒ 330
Thus, There are 330 ways can Lauren select 4 pieces of jewelry to buy.
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30 POINTS + BRAINLIEST!
Answers
We have to find the value of 'x' in [tex] \sin (x+22)^{\circ}=\cos (2x-7)^{\circ} [/tex]
By using the complementary angle formula which states:
[tex] \cos (90-\Theta )=\sin \Theta [/tex]
Now,
[tex] \cos (90^{\circ}-(x+22)^{\circ})=\cos (2x-7)^{\circ} [/tex]
Therefore, we get
[tex] 90-(x+22)= (2x-7) [/tex]
[tex] 90-x-22= (2x-7) [/tex]
[tex] 68=3x -7 [/tex]
[tex] 75=3x [/tex]
[tex] x=25^{\circ} [/tex]
Answer:
Lets go by a step-by-step process.
Step-by-step explanation:
\cos (90-\Theta )=\sin \Theta
Now,
\cos (90^{\circ}-(x+22)^{\circ})=\cos (2x-7)^{\circ}
Now we have...
90-(x+22)= (2x-7)
90-x-22= (2x-7)
68=3x -7
75=3x
x=25^{\circ}
The cost, c(x), for a taxi ride is given by c(x) = 3x + 2.00, where x is the number of minutes. On a piece of paper, graph c(x) = 3x + 2.00. Then determine which answer matches the graph you drew, including the correct axis labels.
Answers
The y-intercept of 2.00 indicates that even if the ride was 0 minutes, there is still a flat fee of $2.00.
What is a slope?If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of a line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
The characteristics of the graph of the equation c(x) = 3x + 2.00.
The graph of c(x) = 3x + 2.00 is a straight line with a slope of 3 and a y-intercept of 2.00.
The x-axis represents the number of minutes, and the y-axis represents the cost in dollars.
The slope of 3 indicates that for every additional minute of the taxi ride, the cost increases by $3.
The y-intercept of 2.00 indicates that even if the ride was 0 minutes, there is still a flat fee of $2.00.
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1.4 + 2/5x = 3/15x - 0.8 How do you solve this?
Answers
1.4+2/5x=3/15x-.08
you have to isolate the x
first add .08 to both sides
1.48+2/5=3/15x
i would now find the equivalence fraction of 2/5 with the denominator of 15. To do this you have to multiply 5 by 3 to get 15 so, you multiply the original numerator to get the equivalent one. 2(3)=6
1.48+6/15x=3/15x
now i am going to subtract 6/15x from both sides
1.48= -3/15x
to get rid of the fraction i am going to convert it to a decimal.
-3/15= -.2
1.48= -.2x
now i have to divide both sides by -.2
7.4=x
At a family cookout, each guest gets an equal amount of hot dogs.there are 10 guests and 32 hot dogs. how many hot dogs will be leftover
Answers
there are 2 hot dogs will be left
What is the sum of the “outer” and “inner” products as described in the FOIL method when multiplying (x + 5)(x - 6)?
A. -6x
B. -x
C. x
D. 5x
Answers
The "inner" terms are +5 and x, so their product is 5x.
The sum of "outer" and "inner" terms is -6x +5x = -x. (selection B)
If c is a constant such that 9x^2+10x+c is equal to the square of a binomial, then what is c?
I NEED HELP SO BAD PLEASE PLEASE PLEASE
Answers
= 9x^2 + 6b x+ b^2
1) 6b= 10
b+ 5/3
2) c=b^2
c= (5/3) ^2
c= 25/9
(9x^2+10x+25/9)=(3x+5/3)^2
I hope this helps:)
When csc(theta) sin(theta) is simplified, what is the result?
Answers
Therefore, csc theta * sin theta = 1.
cosec theta = 1/sin theta, sec theta = 1 / cos theta.
Therefore, Equation 2 reduces to,
(1/sin theta) / (1/cos theta) = cos theta/sin theta = 1/tan theta = cot theta.
tan theta + cot theta = tan theta + 1/tan theta. Taking LCM,
= (1 + tan^2 theta)/tan theta
From the identities, 1 + tan^2 theta = sec^2 theta.
Hence, equation 3 reduces to,
sec^2 theta/tan theta = (1/cos^2 theta) / (sin theta/cos theta)
= cos theta / (sin theta * cos^2 theta)
= 1 / (sin theta*cos theta). This cannot be reduced, hence is equal to sec theta*cosec theta.
1-sin^2 theta / 1+sin theta = (1 + sin theta)*(1-sin theta) / (1 + sin theta)
= 1 - sin theta.
Hope this helped :)
The result of cosecθsinθ is 1.
What is Trigonometric functions?
Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
⇒ cosecθsinθ
∵sinθ = 1/cosecθ
⇒ cosecθ(1/cosecθ)
⇒ 1
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.
The acronym CPCTC stands for “__________ parts of congruent triangles are congruent.”
calculated
congruent
corresponding
coordinated
Answers
The acronym CPCTC stands for " Corresponding parts of congruent triangles are congruent. "
Step-by-step explanation:CPCTC--
It is a rule which states that if any of the two triangles are congruent by any of the congruency such as ASA, RHS , SAS or SS then the remaining sides and the remaining angles which were not covered in the congruency are also congruent.
Also, the acronym is:
Corresponding parts of congruent triangles are congruent.
WILL GIVE A BRAINLEST!!!!!!
Solve and check : c-4/c-2=c-2/c+2 - 1/2-c
The solution is c =
How many extraneous solutions are there?
Answers
(c-4)/(c-2)=(c-2)/(c+2) - 1/(2-c)
- 1/(2-c)=-1/-(c-2)=1/(c-2)
(c-4)/(c-2)=(c-2)/(c+2)+ 1/(c-2)------- > (c-4)/(c-2)-1/(c-2)=(c-2)/(c+2)
(c-4-1)/(c-2)=(c-2)/(c+2)---------------- > (c-5)/(c-2)=(c-2)/(c+2)
(c-5)/(c-2)=(c-2)/(c+2)------------- > remember (before simplifying) for the solution that c can not be 2 or -2
(c-5)*(c+2)=(c-2)*(c-2)------------------ > c²+2c-5c-10=c²-4c+4
-3c-10=-4c+4----------------------------- > -3c+4c=4+10----------- > c=14
the solution is c=14
the domain of the function is (-∞,-2) U (-2,2) U (2,∞) or
all real numbers except c=-2 and c=2
The solution is c = 14
How many extraneous solutions are there? zero
Im really confused can someone help me
Answers
Which expression is equivalent to the given expression? 17x−32x A. x(32−17) B. 17(x−32) C. 17x(1−32) D. x(17−32)
Answers
good luck
When "[tex]x[/tex]" is by itself , it substitute as a invisible [tex]1 [/tex]
[tex]x(32 - 17) = 32x - 17x (Incorrect) \\ \\ 17(x - 32) = 17x - 544 (Incorrect) \\ \\ 17x (1 - 32 ) = 17x - 32 (Incorrect) \\ \\ x(17 - 32) = 17x - 32 (Correct) \\ \\ Answer: D. \\ \\ \\ Good \\ luck \\ on \\ your \\ assignment \\ and \\ enjoy \\ your \\ day! \\ \\ \\ LoveYourselfFirst:)[/tex]
Will mark brainliest.. There are 3 questions related to the problem in the first picture. please help thanks.
Answers
Answers anybody???????
Answers
.. As = (1/2)*r^2*(5π/6)
The area of the white triangle in that sector is
.. At = (1/2)*r^2*sin(5π/6)
The orange shaded area is the difference between these.
.. A = As -At = (1/2)*r^2*(5π/6 -sin(5π/6))
.. = (1/2)*(27.8 in)^2*(5π/6 -1/2)
.. A ≈ 818.4 in^2
Factor completely.
15x^2y^2-3x^3y+75x^4
Answers
5.1 Pull out like factors :
75x4 + 3x3y + 15x2y2 = 3x2 • (25x2 + xy + 5y2)
5.2 Factoring 25x2 + xy + 5y2
Try to factor this multi-variable trinomial using trial and error
Factorization fails
The factorized form of the algebraic expression 15x²y² - 3x³y + 75x⁴ is 3x²(5y² - xy + 15x²).
What is the factorization of algebraic expressions?Factorization of algebraic expressions is a process to break the expression and show it as a product of two or more smaller expressions by grouping and taking the greatest common factor out of the groups.
How to solve the question?In the question, we have been asked to factor the expression 15x²y² - 3x³y + 75x⁴ completely.
We know that factorization is the process of breaking the expression into smaller expressions.
We first try to find the greatest common factor among the three terms provided in the expression.
First, we will go with the numerical part.
We have 15, -3, and 75.
The greatest common factor for these three is 3.
No, we will go with the variable part.
We have x²y², x³y, and x⁴.
The greatest common factor for these three is x².
Thus, the greatest common factor for the expression is 3x²
.
Taking 3x² common throughout, we get:
3x²(5y² - xy + 15x²), which is the required factored form.
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Matt and ming are selling fruit for a school fundraiser.customers can buy small boxes of oranges and large boxes of oranges. matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of 203. ming for a total of 203. ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of 220. find the cost of one small box of oranges and one large box of oranges
Answers
Let f(x)= -5x+6. Find and simplify f(3n−5).
f(3n-5)= ?
Answers
[tex]f(x)=-5x+6[/tex]
[tex]f(3n-5)=-5(3n-5)+6[/tex]
Now, lets simplify our function:
[tex]f(3n-5)=-15n+25+6[/tex]
[tex]f(3n-5)=-15n+31[/tex]
After simplify our function, we can conclude that [tex]f(3n-5)=-15n+31[/tex]
WILL GIVE BRAINIEST IF CORRECT (20 PTS)
A survey asked 10 boys and 10 girls how many text messages they sent the previous day. The number of texts are given in the line plots.
Select from the drop-down menus to complete each statement.
The data set with the greater range is __________The median ___________
Blank 1: a. the boys, b. the girls, c. neither as the range is the same
Blank 2: a. its the same for both sets of dats, b. its greater for the boys, c. its greater for the girls.
Answers
Which polynomial is a quintic trinomial?
x³ + 2x² -8x + 16
x² + 4
3x⁵ + 7x² -9x⁴
-x⁴ -5x² +1
Answers
Answer:
3x⁵ + 7x² -9x⁴
Step-by-step explanation:
In the order given, the polynomials have degrees 3, 2, 5, 4. The one of degree 5 is "quintic." That one also happens to be a trinomial. It is ...
3x⁵ + 7x² -9x⁴
James needs to clock a minimum of 9 hours per day at work. The data set records his daily work hours, which vary between 9 hours and 12 hours, for a certain number of days.
{9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}.
The median number of hours James worked is 10 11 12 13 . The skew of the distribution is negative positive zero zero with symmetry .
Answers
The median is the 11 as median is the middle value
and it will be a negative skew
Does the equation x2 - 4x + y2 = -3 intersect the x-axis?
Answers
x^2 - 4x + 0 = -3
We then want to solve for x. We can do this by factoring.
x^2 - 4x + 3 = 0
By factoring...
(x - 3)(x - 1)
We can set each of these equations = 0 to solve where the function crosses the x-axis.
x - 3 = 0
x = 3
x - 1 = 0
x = 1
So we know at x = 1 and x = 3, the function x^2 - 4x + y^2 = -3 intersects the x-axis.
Answer:
Yes, because the center is on the x-axis.
Step-by-step explanation:
First, write the equation in standard form by completing the square.
x2 - 4x + y2 = -3
x2 - 4x + 4 + y2 = -3 + 4
(x - 2)2 + y2 = 1
The circle is centered at (2, 0) with a radius of 1. Since the circle is centered on the x-axis, it intersects the x-axis two times, at (3, 0) and (1, 0).
Which graph represents y – 1 = 2(x – 2)?
Answers
Answer:
The graph is attached below
Step-by-step explanation:
y – 1 = 2(x – 2)
y-1 = 2x - 4
add 1 on both sides
y = 2x - 3
To graph the given equation we make a table
Plug in some number for x and find out the value of y
x y = 2x-3
-1 2(-1)-3= -5
0 2(0) -3= -3
1 2(1) -2= -1
The point to get the graph of the given equation is
(-1,-5) (0,-3) (1,-1)
The graph is attached below
Answer:
The answer is the first graph or graph A.
BTW this is just the short answer...
Its quicker. :-)
A metal Fabricating Company produces 150,000 souvenir tokens each year. In a random sample of 400 tokens, 3 have stamping errors. Predict the total number of coins that will have stamping errors in a year.
Answers
150000 divided by 400 equals 375, times 3 equals 1125.