Answer:
b = $48000, m = $3187.5 / year
Step-by-step explanation:
The equation of a linear function is given as y = mx + b, where m is the rate of change, b is the value of y when x = 0, y = dependent variable and x = dependent variable.
Given that V = mt + b:
b = initial price of the house at 0 years = $48000
V = mt + 48000, At 8 years the house is appraised at $73,500
73500 = 8m + 48000
8m = 73500 - 48000
8m = 25500
m = 3187.5
Find the parabola through
(
−
7
,
−
39
)
(
-
7
,
-
39
)
with vertex
(
−
4
,
−
12
)
Answer:
y = - 3x² - 24x - 60
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 12 ), thus
y = a(x + 4)² - 12
To calculate a substitute (- 7, - 39) into the equation
- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )
- 27 = 9a ( divide both sides by 9 )
- 3 = a
y = - 3(x + 4)² - 12 ← in vertex form
Expand (x + 4)²
y = - 3(x² + 8x + 16) - 12
= - 3x² - 24x - 48 - 12
y = - 3x² - 24x - 60 ← in standard form
= - 3(x²
If a = 5 and b = -3, what is the value of 2b/b^2-a
Answer:
-4.33333
Step-by-step explanation:
I searched it up on google but here you go
Solve the following inequality: 9x+2/3(−7x+6)−1≥2
Answer:
Step-by-step explanation:
3(9x - 14/3x + 4 - 1 ≥ 2)
27x - 14x + 12 - 3 ≥ 6
13x + 9 ≥ 6
13x ≥ -3
x ≥ -3/13
Answer:
x ≥ - [tex]\frac{3}{13}[/tex]
Step-by-step explanation:
Given
9x + [tex]\frac{2}{3}[/tex](- 7x + 6) - 1 ≥ 2
Multiply through by 3 to clear the fraction
27x + 2(- 7x + 6) - 3 ≥ 6 ← distribute and simplify left side
27x - 14x + 12 - 3 ≥ 6
13x + 9 ≥ 6 ( subtract 9 from both sides )
13x ≥ - 3 ( divide both sides by 13 )
x ≥ - [tex]\frac{3}{13}[/tex]
express the following number in standard form a question 425000
Does anybody know how to answer this?
Answer:
Step-by-step explanation:
√a^2 + b^2 =a+b
√ (a+b)^2 =a +b
The square root and the square cancel making
√a^2+b^2=a+b
Solve:
3(x - 2) = 18
Answer:
Standard form:
3x − 24 = 0
Factorization:
3(x − 8) = 0
Solutions:
x = 24
3
= 8
Step-by-step explanation:
Hope this helps? :))
[tex]\large\tt Step-by-step~explanation:[/tex]
To solve for x, we have to isolate the variable.
[tex]\tt Step~1:[/tex]
First, we distribute 3 to (x - 2) because when there are parentheses with terms inside it next to another term, then we have to multiply them together.
[tex]\tt 3*x=3x\\3*-2=-6\\3x-6=18[/tex]
[tex]\tt Step~2:[/tex]
Next, we add six on the left side of the equation to cancel out - 6. We also add 6 to the right, because we have to do whatever we do on both sides of the equation.
[tex]\tt 3x-6(+6)=18(+6)\\3x=24[/tex]
[tex]\tt Step~3:[/tex]
Finally, we divide both sides by 3 to isolate x and get our answer.
[tex]\tt \frac{3x}{3}=x\\\frac{24}{3}=8\\x=8[/tex]
[tex]\large\boxed{\tt Our~final~answer: ~x=8}[/tex]
The square root of 130
falls between _____
and _____
but it's closest to _____
Answer:
11 and 12, closest to 11
Step-by-step explanation:
The square root of 130 falls between 11 and 12
Since 11 squared is 121 and 12 squared is 144.
130 is closer to 121, making it closer to 11 than to 12.
Hope this helps :)
if f(x)= -x^2 - 1, and
g(x)=x + 5, then
g(f(x))=___x^2+___x+___
Answer:
Step-by-step explanation:
g(f(x))
g(-x^2 - 1)
-x^2 + 0x + 4= -x^2 + 4
[tex]( \frac{8}{27} ) ^{ \frac{1}{3} } [/tex]
= ?
Answer:
2/3
Step-by-step explanation:
Simplify the following:
(8/27)^(1/3)
Hint: | For all n>=0, (m/n)^(1/3) = (m^(1/3))/(n^(1/3)).
(8/27)^(1/3) = (8^(1/3))/(27^(1/3)):
(8^(1/3))/(27^(1/3))
Hint: | Simplify radicals.
27^(1/3) = (3^3)^(1/3) = 3:
(8^(1/3))/3
Hint: | Simplify radicals.
8^(1/3) = (2^3)^(1/3) = 2:
Answer: 2/3
On Monday, 350 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars. Which equation can be used to determine, x, how many students were in each bus ?
Answer:
(350-8)/9
Step-by-step explanation:
If 8 students had to get on to a car then there would be the remainder of students on the buses. 342 students on 9 buses! Just Divide.
500g:3kg.Give answer in lowest term
Answer:
Step-by-step explanation:
First, you have to convert the units, since kilograms and grams aren't the same unit. 1000 grams=1 kilogram. Keep that in mind, and lets move on.
So, that means 3 kilograms=3,000 grams. Let's rewrite our ratio.
500g:3,000g
So now they're the same units, but it isn't simplified. This last parts easy. To simplify a ratio, find the number you can divided both number with. In this situation, that number is 500. 500 divided by 500= 1, and 3,000 divided by 500= 6.
Final Simplified Ratio: 1g:6g
Hope this helped :)
BC = 4x + 2 AB = 8x + 8 and AC = 22 Find BC
Answer:
BC = 6.8
Step-by-step explanation:
The distance from A to B, then from B to C, is the same distance as from A to C.
Thus,
AB + BC = AC
AB = 8x + 8
BC = 4x + 2
AC = 22
AB + BC = AC
(8x + 8) + (4x + 2) = 22
Expanding the parenthesis:
8x + 8 + 4x + 2 = 22
8x + 4x + 8 + 2 = 22
12x + 12 = 22
Subtracting 12 from both sides:
12x = 10
Dividing both sides by 12:
x = 10/12 = 1.2
x = 1.2
We're looking for BC. As we know,
BC = 4x + 2
Let's now put in x = 1.2 into this equation:
BC = 4x + 2
BC = 4 * 1.2 + 2
Since 4 * 1.2 is 4.8:
BC = 4.8 + 2
BC = 6.8
Answer: BC = 6.8
Larry has a gift card worth $400 for a local entertainment store. Movies cost $20 each and newly released video games cost $50 each. In order
to use the gift card, Larry must purchase at least nine items. Which is a combination of movies and newly released video games that Larry could
purchase using his gift card?
10 movies and 5 video games
6 movies and 2 video games
4 movie and 8 video games
7 movies and 5 video games
Serena estimates that she can paint 60 square feet of wall space every half-hour. Write an equation for the relationship with time in hours as the independent variable x and the square footage she can paint as the dependent variable y. Can she paint 400 square feet in 3.5 hrs
Answer:
So, the relationship with i hours as the indecent variables would be
Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.
Step-by-step explanation:
Since we have given that
Area that she can paint = 60 square feet
Time taken = half hour = 30 minutes = 0.5 hours
Using "Unitary method, we get that
In 0.5 hours, she can paint = 60 square feet
In 1 hour, she can paint =
In i hours, she can paint =
Let the total area she can paint be 'y'.
So, the relationship with i hours as the indecent variables would be
Now, Can Serena paint 400 square feet of wall space i. 3.5 hours
We put y = 400 and i = 3.5 hours to check whether it is equal or not.
Hence, Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.
Answer:
0.5
Step-by-step explanation:
Solve the equation 5x+3÷4=7. Explain and justify each step in your solution process.
What is the midpoint of points (3.9) and (1.-7)?
Answer:
Answer is (2,1)
Step-by-step explanation:
The Midpoint formula is simply (x2+x1)/2, (y2+y1/2)
Just gotta plug in the points!
Hope this helps!
Which equation represents the data: m = -3, b = 5
8+1/2(12)=x
Solve please
Answer
14
you have to simplify
8+1/2(12)
14
If it takes a company 4 hours to build 1,300 cell phones, at the same rate it will
take the company n hours to build 39,000 cell phones.
K ( -3, 7 ), and L ( 8, 7 what is the slope?
Can someone plz help with both of these
Answer:
Domain: (-5<x<-2) (1<x≤3]
Range: (-3<x<4) [-1≤x<2)
Step-by-step explanation:
(Explained another post by same asker)
(also this isnt interval notation, you would remove the <,≤, and x from it and keep the parenthesis and brackets were I put there were)
An article was sold for Rs 30
at a loss of 24%, what would
have been sale price, had it
been sold at 17% loss.
Answer:
Rs. 32.77
Step-by-step explanation:
At a loss of 24% sale price = Rs. 30At a loss of 17% sale price = ?----------
Finding cost price:
Sale price = cost - lossIf cost = x:
x - 24% = 300.76x = 30x = 30/0.76x ≈ 39.48SP at a loss of 17%:
39.48 - 17% = 39.48*0.83 ≈ 32.77In which Quadrant is the point (4, -2) located?
Quadrant 3
Quadrant 1
Quadrant 4
0 Quadrant 2
Answer:
Quadrant 4
Step-by-step explanation:
We go to the x-axis first and put a point on number 4, second we move that point along the y-axis till number -2
which is located in the 4th quadrant
Answer: Quadrant 4
Step-by-step explanation: Since the rule for Quadrant 4 is (+, -) it will be located there because 4 is a positive number and -2 is a negative number.
Neena is listening to a song. It has a consistent beat. She counts 11 beats in
1 seconds. What is the constant of proportionality for the relationship of beats
to minutes? Show your work.
Answer:
11beats / 1 second = 660 beats /1 minute
Solve and graph the following compound inequality. (SHOW YOUR WORK) 3x + 4 ≤ −x − 5 ≤ 12
[tex]\frac{9}{4}[/tex]Answer:
[-17, -[tex]\frac{9}{4}[/tex]
graph would be closed circle, shaded to the left and the point placed a little over -2 bc -9/4 THEN another closed circle on -17 shaded to the right so they meet in the middle
Step-by-step explanation:
-x-5 greater than or equal to 3x+4
-x-5 ≤ 12
x ≤ -9/4
-z-5 ≤ 12 ===== x > -17 (make sure to put a line under the >)
how does a dilation change a figure
Please answer! Thank you in advanced
Answer: D
Step-by-step explanation:
To solve this problem, let's go through each pair to see if they are perpendicular lines.
A. Incorrect
These are parallel lines. We know this because they have the same slope and different y-intercept.
----------------------------------------------------------------------------------------------------
B. Incorrect
These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.
----------------------------------------------------------------------------------------------------
C. Incorrect
These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.
----------------------------------------------------------------------------------------------------
D. Correct
These are perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair matches this property.
----------------------------------------------------------------------------------------------------
E. Incorrect
These are not perpendicular lines. You can see that y=5 and x=5. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.
The temperature at 2:00 pm is 27 degrees at 2 :00 the temperature has fallen to -4 degrees what is the difference in temperature from 2:00 pm to 2:00 am ?
Answer:
31 degrees
Step-by-step explanation:
Difference in temperature from 2:00 pm to 2:00 am = 27 - (-4) = 27 + 4 = 31 degrees
5.9= -4+×
help me solve this
what is 91,007,500 in scientific notation?
Answer:
Step-by-step explanation:
the scientific notation of 91,007,500
9.10075 x 10^7