Answer:
y = 3/4x + 12
Step-by-step explanation:
let equation of the line be y = 3/4x + b
sub (-8, 6):
6 = 3/4(-8) + b
12 = b
therefore equation of the line is y = 3/4x + 12
Topic: Coordinate Geometry
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Answer:
General Form of Equation of a line that passes through the point (-8,6) and has a slope of 3/4 is:
[tex]\frac{3}{4}x-y+12=0[/tex]
Step-by-step explanation:
We need to find equation of line that passes through the point (-8,6) and has a slope of 3/4 in general form.
The general form of linear equation is [tex]Ax+By+C=0[/tex]
First we will use slope-intercept form i.e, [tex]y=mx+b[/tex] to find equation and then write it in general form.
Where m is slope and b is y-intercept.
We are given slope = 3/4 but y-intercept is not given and we need to find.
Finding y-intercept
Using the point (-8,6) and slope m = 3/4 we can find y-intercept
[tex]y=mx+b\\6=\frac{3}{4}(-8)+b\\6=3(-2)+b\\6=-6+b\\b=6+6\\b=12[/tex]
So, y-intercept b is 12
Equation of line
The line has slope m=3/4 and y-intercept b is 12, the equation is:
[tex]y=mx+b\\y=\frac{3}{4}x+12[/tex]
General Form of Equation of a line that passes through the point (-8,6) and has a slope of 3/4 is:
[tex]\frac{3}{4}x-y+12=0[/tex]
How many oz. of a metal containing 40%
gold must be combined with 7 oz. of a
metal containing 90% gold to form an
alloy containing 75% gold?
Answer:
3 oz
Step-by-step explanation:
Let x represent the number of oz. of the medal with 40% gold:
Set up an equation and solve for x:
0.4x + 7(0.9) = 0.75(x + 7)
0.4x + 6.3 = 0.75x + 5.25
6.3 = 0.35x + 5.25
1.05 = 0.35x
3 = x
So, you will need 3 oz. of the metal with 40% gold
if Brian is 24 years old and his sister is 16 years old. how old is Brian to his sister.
and if Brian's mother is 56 years old how is his mother to his sister. if
Brian's mother is 56 how old is his mother to his sister.
if their father is 63 how old is he to the mother Brian's mother and Brian.
is the mother related to the sister. how old is the sister to the mother and the father. band uncle is 84 how old is he to Brian's mother sister father and to himself. last question how old is other ages add together. who is the oldest
Answer:
1. 3:2
2. 7:2
3. 63:56:24
4. 16:56:63
5. 84:56:16:63
the ages added up is 219
the uncle is the oldest
Step-by-step explanation:
I'm answering by ratios because I'm not exactly sure what you mean.
24:16 = 6:4 = 3:2
56:16 = 7:2
63:56:24 is already in its simplest form I think??
16:56:63 also in its simplest form
84:56:16:63
the ages added up is 219
the uncle is the oldest
Bill takes a loan of $9000 at a 8% simple interest rate for 6 years.
A. How much interest will he pay after 2 years?
B. How much interest will he pay in total for the loan?
a. $ 720.00; $3,600.00
b. $36,000.00; $ 12,000.00
C. $1440.00; $4,320.00
D. $ 1,408.00; $4,224.00
Answer: you have to divide
Step-by-step explanation:
Which inequality is true
Help please ASAP will mark brainliest!!
Answer:
y=4x-7
Step-by-step explanation:
y=4x+6 (1,-3)
y=mx+b
m= 4 (1,-3)
y-(-3)=4(x-1)
y+3=4x-4
-3 -3
y=4x-7
6th grade math I mark as brainliest
Answer:
false
Step-by-step explanation:
Exponents is basically that number multiplied by itself however many times the number on top is , so lemme just give a quick example, [tex]7^4[/tex] would be 7*7*7*7=2401
so
[tex]16^1[/tex] would just be sixteen because any number to the power of 1 is that number
[tex]8^2[/tex] is 8*8 which gives us 64,
16 does not equal 64, so its
False
In 2004, an art collector paid $ for a particular painting. The same painting sold for $ in 1950. Complete parts (a) through (d). a) Find the exponential growth rate k, to three decimal places, and determine the exponential growth function V, for which V(t) is the painting's value, in dollars, t years after 1950.
Answer:
The value of k is 0.149.
Step-by-step explanation:
The complete question is:
In 2004, an art collector paid $84,275,000 for a particular painting. The same painting sold for $27,000 in 1950. Complete part (a) through (d)? (a) Find exponential growth rate k, to three decimal places, and determine the exponential growth function V, for which V(t) is the painting’s value, in dollars, t years after 1950.
Solution:
The exponential growth function can be expressed as follows:
[tex]y=a\cdot e^{kt}[/tex]
y = Final value after t years
a = initial value
It is provided that:
y = $84,275,000
a = $27,000
The value of t from 1950 to 2004 is, t = 54
Compute the value of k as follows:
[tex]y=a\cdot e^{kt}[/tex]
[tex]84,275,000=27,000\times e^{54k}\\\\e^{54k}=\frac{84275000}{27000}\\\\54k=\ln (\frac{84275}{27})\\\\k=\frac{1}{54}\times \ln (\frac{84275}{27})\\\\k=0.149[/tex]
Thus, the value of k is 0.149.
Add. Simplify the answer and write it as a mixed number. 7/18 + 2/9 + 5/6
Answer:
1 1/18
Step-by-step explanation:
Answer:
Decimal:1.4simple form:13/9 mixted:1 and 4/9
Step-by-step explanation:
Can someone please help, ty!!
(Will mark brainliest)
Answer:
Arcadia
Step-by-step explanation:
the line in the box is the median and Arcadia is bigger than Millersburg
0=x^2+4x+1. Khan academy
The advertising sticker on Allen's
new car says it gets 36 miles per
gallon on the highway. The graph
represents the actual relationship
between the number of miles Allen
drove on the highway and the
gallons of gasoline his new car used.
How does the advertised gas
consumption rate compare to the
actual rate?
Answer:
Step-by-step explanation:
The rate in this case is slope of the line. The formula of a slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
(10, 325)
(4, 130)
m = [tex]\frac{325-130}{10-4}[/tex] = [tex]\frac{195}{6}[/tex] = 32.5 miles per gallon
The actual rate is less (better) than advertising.
On a coordinate plane, point B is at (negative 5, 2). B is located at (−5, 2). If B is reflected across the y-axis, the coordinates will be . If B is reflected across the x-axis, the coordinates will be .
Answer:
the anwser is (5,2) and (-5,-2)
Step-by-step explanation:
Mrs. Pearce conducted a survey in her class on the ages of famous people. The table below shows the results of her survey. Guess Actual Age 15 28 25 28 39 50 36 24 42 56 45 72 80 Which equations could best represent the line-of-best-fit for the given data set?
Answer:
y=1.19x-4.3
Step-by-step explanation:
I did the math
Answer:
just here to steal some old points! sorry and thanks
Step-by-step explanation:
A family wants to make a %20 down payment on a house that cost 200,000 what is the amount of the down payment
Answer:
40
Step-by-step explanation:
Write the expression below as a product of two factors.
6 + 8 + 4
Answer: Factor out the GCF of 6, 8, and 4: 2
2(3m + 4n + 2)
Which statement best explains whether the table represents a linear or nonlinear function?
Input (x) −2 −5 −8 −11
Output (y) 7 4 1 −2
A It is a linear function because there is a constant rate of change in both the input and output values.
B It is a nonlinear function because there is a constant rate of change in both the input and output values.
C It is a linear function because the input values are decreasing.
D It is a nonlinear function because the input values are increasing.
Answer:
It is a linear function because there is a constant rate of change in both the input and output values.
Step-by-step explanation: I took the test
|2| + |-13| =
BRAINLIST AND EXTRA POINTS
Answer:
15
Step-by-step explanation:
|2| + |-13| =
2+13
15
Answer:
I think I might be 15Step-by-step explanation:
I looked it up on google
a submarine starts 800m below the surface of the ocean. It rises at a rate of 40m / min for 15 minutes. How much more does the submarine need to rise to reach 50m below the surface?
Pls help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pls
The time (in number of days) until maturity of a certain variety of tomato plant is Normally distributed with mean μ. You select a simple random sample of four plants of this variety and measure the time until maturity. The four times, in days, are as follows: 63 69 62 66 with standard deviation 3.16.
Required:
Calculate the 99% confidence interval for population mean μ. Find the closest answer
Answer: 60.93 < μ < 69.07
Step-by-step explanation: The true mean of a set of data is between an interval of values with a percentage of precision, e.g., a 99% confidence interval means we are 99% confident the true mean is between the lower and upper limits.
To find the interval, use
x±[tex]z\frac{s}{\sqrt{n}}[/tex]
z is z-score related to the % of confidence level
In this case, a 99% confidence interval is 2.576
x is sample mean
Calculating:
[tex]x=\frac{63+69+62+66}{4}[/tex]
x = 65
65±[tex]2.576\frac{3.16}{\sqrt{4}}[/tex]
65±4.07
Confidence Interval: 60.93 < μ < 69.07
Meaning that we are 99% sure the population means is between 60.93 and 69.07.
Expression A: 3(x + 2)Expression B: 3x + 6Which statement does not show that these expressions are equivalent?A.Both expressions involve addition.B.Substituting any value of x makes the expressions equivalent.C.3(x + 2) can be rewritten as 3x + 6 using the distributive property.D.The expressions name the same number regardless of the value of x.
Answer:
C.3(x + 2) can be rewritten as 3x + 6
Step-by-step explanation:
Given 3(x+2)
Evaluating the expression by opening the parenthesis;
3(x+2) = 3(x) + 3(2) Distributive law
3(x+2) =3x + 6
Hence 3(x+2) is equivalent to 3x+6
Hence the correct answer is C.3(x + 2) can be rewritten as 3x + 6
Which of the following lists does not include all the factors of the number?
4: 1, 2,4
10: 1, 2, 5, 10
5: 1,5
21: 1, 21
What is the solution to the inequality 7<=-3x-4
Answer:
The nearest option is -3 (negative 3)
So, Option B is correct.
Step-by-step explanation:
We need to solve the inequality [tex]7 \leq -3x-4[/tex]
Solving:
Step 1: Switching sides of inequality and reversing the inequality
[tex]-3x-4\geq 7[/tex]
Step 2: Adding 4 on both sides
[tex]-3x-4+4\geq 7+4\\-3x\geq 11[/tex]
Step 3: Dividing both sides by -3 and reversing the inequality
[tex]\frac{-3x}{-3}\leq \frac{11}{-3} \\x\leq -3.6\\[/tex]
The nearest option is -3 (negative 3)
So, Option B is correct.
The classic 60° triangle has a hypotenuse of length 2, an opposite side of length √3 and an adjacent side of length 1....find the value of Cos(60°)
Answer:
The trigonometric values for cos are C = A/H, which means that to find cos(60), you need to divide the adjacent side by the hypotenuse, which in this case gives you 1/2, so that is the value of cos(60).
I hope this helps!
Step-by-step explanation:
Find the value of X. Geometry!!!
Answer:
D. 19
Step-by-step explanation:
x+5 has to equal half of the base(3x-9)
I tried everything else. Those answers didn't work. 3*19-9=48 and 19+5=24
48/2=24 Therefore, the answer is D, 19
If you have 3 cups of pineapple juice, how many total cups of lunch can you make?
A band expects to put 16 songs on their next CD. The band writes and records 12.5% more songs than they expect to put on the CD. During the editing process,50 % of the songs are removed. How many songs will there be on the final CD?
What is the value of a for the following circle in general form?
X^2+y^2+ax+by+c=0
Answer:
ANSWER: 8 A_P_E_X
Step-by-step explanation:
Plug the radius and the center point into the equation, and convert it to general form to get your answer.
The value of a is 4.
What is the standard equation of a circle?The standard equation of a circle is given by
(x -h)² + (y-k)² = r²
The equation given is
x² + y² +ax +by +c = 0
a = -h * 1
(h,k) represents the coordinate for the center of the circle
h = -4 , k =2
a = -(-4) *1 = 4
To know more about Standard Equation of a Circle
https://brainly.com/question/13658927
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identify the equation of the line having a slope of -3 and a y- intercept of 7
A y + -3x +12
b y = 3x - 7
c y = 3 + 7
d y = -3x + 7
Answer:
D.
Step-by-step explanation:
We can use the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We know that the slope is -3.
And the y-intercept is 7.
Hence, we will substitute -3 for m and 7 for b. This yields:
[tex]y=-3x+7[/tex]
Therefore, our answer is D.
how many miles can you drive in 1/2 hour
Answer:
2 miles
Step-by-step explanation:
it depends on how many hours per hour but 2 miles would be the average answer.
hope this helps. have a good day. :)