Hello there, hope you are having a nice day.
We are given the slope of the line and a point on the line, so we can write the equation in point-slope form:
y-7=-3(x-(-1)
y-7=-3(x+1)
y-7=-3x-3
Now, we move -7 to the right side, using the opposite operation:
y=-3x-3+7
y=-3x+4
This is the equation of our line. Hope it helps.
Ask me if you have any queries.
~An emotional teen who helps others with joy
Good luck.
Identify whether the following expression is a polynomial. If it is, identify the type according to the number of terms.
6x^2 + x + 1
Answer:
The expression is a polynomial.
Trinomial (according to the number of terms)
Step-by-step explanation:
Given the algebraic expression, 6x² + x + 1:
A term comprises of a product of numerical coefficient and one of more variables raised to powers. Like terms have the same variables and exponents.
While a polynomial is a term (or finite sum of terms), comprising of variables with positive or zero integer exponents. Strictly defined, the terms within a polynomial expression cannot include variables as a denominator.
A monomial is a single-termed polynomial.
A binomial is a polynomial with two terms.
A trinomial is a polynomial that has exactly three terms.
With these given definitions, we can infer that the given polynomial expression, 6x² + x + 1, is a trinomial, given that it has three terms:
6x² is the leading term with the highest degree or exponent. Specifically, the name of this term is quadratic, given its exponent of 2. x is a linear term, given its exponent of 1. 1 is a constant term.Therefore, the given expression is a polynomial containing three terms, making it a trinomial.
If tan(t) ≈ 2.7, and sin(t) ≈ 0.94, find cos(t)
Answer:
cos = 0.89/1.9 = 0.46842105263157895-
Step-by-step explanation:
the value of cos(t) is approximately 0.347.
To find the value of cos(t), we can use the identity:
tan²(t) + 1 = sec²(t)
Since we know the value of tan(t) is approximately 2.7, we can calculate sec(t):
sec²(t) = tan²(t) + 1
sec²(t) = 2.7² + 1
sec²(t) = 7.29 + 1
sec²(t) = 8.29
Now, to find sec(t), we take the square root of both sides:
sec(t) = √(8.29)
sec(t) ≈ 2.877
Finally, we can find cos(t) using the reciprocal identity:
cos(t) = 1 / sec(t)
cos(t) ≈ 1 / 2.877
cos(t) ≈ 0.347
So, the value of cos(t) is approximately 0.347.
Learn more about trigonometry here
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Five metal cubes with sides of 5 cm are
melted and casted into
a spherical ball. Find the
volume of the sphere that is formed
Please help!
(at the start it says "Albert's mom bought" but it was accidentally cropped out...sorry)
Answer:
Option D
Step-by-step explanation:
We convert 5 2/3 into an improper one:
17/3
There are 5 people in his family
17/3 * 1/5 = 17/15
So option D
Sixteen scholars have volunteered to stay after school to help set up for the school musical. The musical director plans to order pizza for the scholars. Each pizza pie includes 8 slices and costs $13.49. How much money would the director have to pay in order to give each scholar 1.5 slices of pizza?
HELP ASAP 100 POINTS RIGHT ANSWER GETS BRAINLSIT
The sum of 3.25 and twice a number is −7.
What is the number?
Enter your answer as a decimal in the box.
n =
Answer:
3.25+n= -7
(-7)-3.25=(-10.25)
n=(-10.25)
Answer:
-5.125
Step-by-step explanation:
-5.125 x 2 = -10.35
-10.25 + 3.25 = -7
Help please i need it fast
Answer:
(0,0) (3,2) and (-2,-2) (4,2)
Step-by-step explanation:
To find the slope, you do [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2}}[/tex], which would work for both.
2-0/3-0=2/3
2-(-2)/4-(-2)=2+2/4+6=2/3
Please help me anyone i will give you brain points
Answer:
M = 11
Step-by-step explanation:
please answer the question and how you answered it NO LINKS AND NO WEBSITES
Answer:
y= 27-6x
Step-by-step explanation:
For the first equation you add 6x on both sides which will leave us at
-y=-27+6x. You then divide both sides by a -1 to make the y positive so then it'll give us the equation y= 27-6x . For the second equation subtract 18x on both sides which will leave us with the equation 3y= 81-18x . Divide each side by 3 to get the y by itself. Then the equation will be y=27-6x
The answer is not 1465.5. Every month, Ms. Thomas pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car loan each month. At the end of the year, her savings account balance changed by -$2,931 from payments made on her car loan. What is the change is Ms. Thomas' savings account balance each month due to her car payment?
Answer:
$244.25
Step-by-step explanation:
First, the question is asking what the change in her savings account balance is each month. So, you know that you are looking for the amount that is lost each month. When it says that at the end of the year, she has payed $2,931 , what is implied is that she has spent that much over 12 months. So all that is needed to do is divide her balance change over the year by 12 to find the monthly balance change.
A container of 24 eggs costs $6.96. What is the cost of each egg?
Answer:
$0.29
Step-by-step explanation:
Hello!
All you gotta do is 6.69/24 and it should give you 0.29.
Can someone please help me
Answer:
[tex]y = + - \sqrt[4]{ \frac{3}{2} x} [/tex]
what is 39/17 as a decimal rounded to the nearest tenths?
Answer these questions
Answer:
y < 5
Step-by-step explanation:
Subtract 22 from both sides.
7y < 5y + 12 - 2
7y < 5y + 12 − 2
2 Simplify 5y + 12 - 25y + 12 − 2 to 5y + 105y + 10.
7y < 5y + 10
7y < 5y + 10
3 Subtract 5y5y from both sides.
7y - 5y < 10
4 Simplify 7y - 5y7y − 5y to 2y.
2y<10
Divide both sides by 22.
y < 10/2
Then Simplify 10/2 to 5
y < 5
Multiply 531.7 and 9 together. Round to the nearest hundredth when necessary.
Answer:
4,785.3
Step-by-step explanation:
531.7 x 9
= 4,785.3
Which inequality has the graph shown below?
Answer:
the 1 one
Step-by-step explanation:
Answer:
the answer is the first graph :)
Step-by-step explanation:
lmk if you need and explanation
hope this helps!❄︎
John’s weekly salary is $428.25. His employer is changing the pay period to semimonthly. What will John’s semimonthly salary be to the nearest cent?
Answer: $856.50
Step-by-step explanation:
Semimonthly means twice a month.
2*(428.25) = $856.50
A water hose has a flow rate of 12 gallons per minute. How many minutes will it take to fill up a pool that holds 30 cubic feet of water. One cubic foot equals 7.48 gallons. Round to the nearest minute.
Answer:
19 minutes
Step-by-step explanation:
30 ft³ = 224.4 Gallons
224.4 gallons / 12 gallons/min
18.7 min
round -- 19 minutes
How do I simplify -4(3x + 2y) + 6( -2x - 5y)???
Answer:
-24x - 38y
Step-by-step explanation:
[tex]-4(3x+2y)+6(-2x-5y)~(Given)\\\\-12x-8y+-12x-30y~(Distributive~property)\\\\-24x-38y~(Add~like~terms)[/tex]
Answer:
Step-by-step explanation:
4(3x+2y)+6(−2x−5y)
Use the distributive property to multiply −4 by 3x+2y.
−12x−8y+6(−2x−5y)
Use the distributive property to multiply 6 by −2x−5y.
−12x−8y−12x−30y
Combine −12x and −12x to get −24x
−24x−8y−30y
Combine −8y and −30y to get −38y.
and you get −24x−38y
hope it helps
A student earned $175 last week. She worked 35 hours. How much did she earn per hour?
Answer:
5$
Step-by-step explanation:
5 divided by 175 is 35
5x35 is 175
Adam is 5 times as old as Charles. In 8 yrs the sum of their ages will be equal to twice Adam's present age. Find their present age.
Answer:
charles 4 years
adam 20 years
Step-by-step explanation:
charles present = x
adams present age 5x
8 years later
charles x+8
adam 5x+8
ATQ
x+8+5x+8=10x
4x=16
x=4
5x=20
PLEASE HELP What appears to be the range of the part of the exponential function graphed?
A- x ≤ 1
B- h(x) ≤ 1
C- x ≤ 5
D - h(x) ≤ 5
Answer:
A) Variable "x" is less than it equal to 1 because your domain can’t have [h(x)] because that’s your function and would be your range but in this case it’s your domain and your domain or else known as the variable "x" coordinate would have to be the number on the x axis that your line starts, your line begins on line 1 on the x axis which would be your domain
Hope this helps!
Lauren is going to invest in an account paying an interest rate of 3.4% compounded
annually. How much would Lauren need to invest, to the nearest cent, for the value of
the account to reach $13,000 in 8 years?
Answer:
P = $9948.99
Step-by-step explanation:
Use the compound amount formula A = P(1 + r)^t, with A = $13,000, t = 8 yr and r = 0.034. Find the principal amount P.
Solving A = P(1 + r)^t for P, we get:
$13,000 $13,000
P = -------------------- = --------------- = $9948.99
(1 + 0.034)^8 1.3067
Lauren needs to invest $9948.99 for this purpose.
Convert 0.092 into a fraction
Answer:23/250
Step-by-step explanation:
0.092=23/250
Slove for x
ST=13
TU=6
UV=2x-18
SV=4x-29
Answer:
x=15
Step-by-step explanation:
Since 13+6+2x-18= 4x-29, use this equation.
Combine like terms:
1+2x= 4x-29
-1 -1
2x= 4x-30
-4x -4x
[tex]\frac{-2x=-30}{-2}[/tex]
x=15
Hope this helps! :)
What is the value of x in the equation 5x(34+20) =36
Answer:
x=3.6
Step-by-step explanation:
parentese first so add 34+20= 54
5x54=36
-54=-54
5x= -18
5x/5x -18/5x
x= 3.6
for what value of x and y the ordered pairs (x+3,y-2) (y-1,2x-3)
u spammed in my question :(
The value of the digit 8 in 1,857 is how many times the value of the digit 8 in 3,083?
Answer:
10 times
Step-by-step explanation:
The 8 in 1,857 is in the hundreds place and the 8 in 3,083 is in the tens place.
15 points for anwser
Determine whether each expression is equivalent to x^(7/4).
Expression Yes No
√(7&x^4 )
∜(x^7 )
(∜x)^7
√(x^(7/4) )
∜(x^5 )∙∜(x^2 )
√(5&x^4 )∙√(2&x^4 )
(∜x)^7/(√x)^0
Help.
Answer:
Step-by-step explanation:
Please help! Precalco
Answer:
A = 2r²
Step-by-step explanation:
A square is a rhombus with equal-length diagonals. A square inscribed in a circle has diagonals equal to the diameter of the circle: 2r.
The area of a rhombus is half the product of the lengths of its diagonals. Hence the area of our square is ...
A = (1/2)(2r)(2r)
A = 2r²
Answer:
2
Step-by-step explanation:
r=1/2s[tex]\sqrt{2}[/tex]
2r=s[tex]\sqrt{2}[/tex]
2r/[tex]\sqrt{2}[/tex]=s remove [tex]\sqrt{2}[/tex] denominator by multiplying with [tex]\sqrt{2}[/tex]/[tex]\sqrt{2}[/tex]
2[tex]\sqrt{2}[/tex]r/2 -- simplify , 2 cancels
s=r[tex]\sqrt{2}[/tex]
so area = (r[tex]\sqrt{2}[/tex])^2
A(r)= 2r²