Answer:
4 and -12Step-by-step explanation:
The standard form of writing the linear equation of a line is expressed as;
f(x) = mx + c where;
m is the slope
c is the intercept
Given the function f(x) = 3x − 12
x intercept occurs at f(x) = 0
0 = 3x - 12
3x = 12
x = 12/3
x = 4
Hence the x intercept is 4
y intercept occurs at x = 0
f(x) = 3(0) - 12
f(x) = -12
Hence the y intercept is at -12
Please help me out!!!!!
Answer:
Take f(x) to be 4x^3-5x^2-4x-4Take g(x) to be 5x^2+xThen proceed to do f(x)/g(x)Perform synthetic or long division (which ever is your preferred method) Your remainder will be whatever is left over at the end of the division and the quotient will be the first variables.(50-72) 15 =
please help
Answer:
-330
Step-by-step explanation:
Trust me :)) sjsksksk
How many bags of fertilizer are needed to fertilize a yard measuring 60 feet by 80 feet if one bag will cover 100 square feet
ind f(x+h) when f(x) = 3x- 4x^2
Answer:
f(x + h) = -4x² - 4h² - 8hx + 3x + 3h
General Formulas and Concepts:
Algebra I
Function NotationExpand by FOIL (First Outside Inside Last)Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 3x - 4x²
f(x + h) is x = x + h
Step 2: Evaluate
Substitute: f(x + h) = 3(x + h) - 4(x + h)²Expand [FOIL]: f(x + h) = 3(x + h) - 4(x² + 2hx + h²)Distribute: f(x + h) = 3x + 3h - 4x² - 8hx - 4h²Rewrite: f(x + h) = -4x² - 4h² - 8hx + 3x + 3hWrite an equivalent expression for 2(1.7x + 3.3) + 5(2.6x + 1.4) by combining like terms
Answer:
16.4x + 13.6
Step-by-step explanation:
Equivalent Expressions
Algebraic expressions can be given in different forms when applying properties of the basic operations.
The given expression is:
2(1.7x + 3.3) + 5(2.6x + 1.4)
Multiplying both parentheses by the outer factor:
3.4x + 6.6 + 13x + 7
Combining like terms:
16.4x + 13.6
The original and the final expressions are equivalent because they produce the same results
find perimeter of semicircle if radius is 22 cm
The perimeter of a circle is equal to 2πR where R is the radius if we want the perimeter of the semicircle we divide by 2 and we get
P=πR=22π=22*3.14=69.08cm
Find the equation of the line that contains the point (-5,-3) and is parallel to the line 5x+6y=11. Write the equation in slope-intercept form,if possible.
Answer:
y = -5x/6 - 33/6
Step-by-step explanation:
The standard form of equation of a line in point slope form is y - y0 = m(x - x0)
m is the slope
(x0, y0) is the point on the line
First we need the slope of the given equation 5x+6y=11.
Rewrite in standard form;
5x+6y=11
6y = -5x + 11
y = -5/6 x + 11/6
Hence the slope is -5/6
Since the unknown line is parallel to this line, they will have the same slope, hence the slope of the required line is -5/6
Substitute m = -5/6 and the point (-5,-3) into the point-slope expression;
y - y0 = m(x - x0)
y - (-3) = -5/6 (x - (-5))
y + 3 = -5/6(x+3)
6(y+3) = -5(x+3)
6y+18 = -5x - 15
6y+5x =-15 -18
6y+5x =-33
Express in slope intercept form
6y = -5x - 33
y = -5x/6 - 33/6
pleasee help i put it as 24 points and I will mark brainliest thank you
The chicken coop at the petting farm is 10 x 14‘. The farm would like to double the current area by adding the same amount, X, to the length and width. What are the dimensions of the new enclosure? Round to the nearest hundredth of a foot
Answer:
x = 4.85 feet
Step-by-step explanation:
Original area of the petting farm = 10 × 14
= 140 square feet
.
New area = double the original area = 140 * 2
= 280 square feet
New area of the petting farm =
Width × length
280 = (10+x) × (14+x)
280 = 140 + 10x + 14x + x²
280 - 140 = x² + 24x
140 = x² + 24x
x² + 24x - 140 = 0
Solve the quadratic equation
x = -b ± √b² - 4ac / 2a
= -24 ± √(24)² - 4*1*-140 / 2*1
= -24 ± √ 576 - (-560) / 2
= -24 ± √ 576 + 560 / 2
= -24 ± √1,136 / 2
= -24 ± 4√71 / 2
= -24/2 ± 4√71/2
= -12 ± 2√71
x = 4.8523 or x = -28.8583
x can not be a negative value
Therefore,
x = 4.85 feet to the nearest hundredth
A line has a slope of -2 and a y-intercept of –3. Graph the line using the slope and y-intercept.
Which of the following points lie on this same line? Check all that apply.
(–2, 0)
(–1.5, 0)
(–6, 9)
(2, –3)
(3, –9)
(–4, 4)
Answer & Step-by-step explanation:
First write the line equation.
y=mx+b is the format where m=slope, b= y intercept
y=-2x-3
plug each x in to see if they match the point
y= -2(-2) -3 = -4 - 3 = -7 ; the point is (-2,0) so NO
y= -2(-1.5) -3= 3-3 = 0; point is (-1.5, 0) so YES it matches
y= -2(-6) -3 = 12-3 = 0; point matches so YES
y= -2(2) -3 = -4-3 = -7; point is (2, -3) so NO
y = -2(3) -3 = -6-3= -9; point matches so YES
y= -2(-4)-3 = 8-3 = 5; point is (-4, 4) so NO
(-1.5, 0) & (-6, 9) & (3, -9)
please give thanks by clicking the heart button :)
Answer:
the answers are B C E
Step-by-step explanation:
-1,5, 0
-6, 9
3, -9
Cribe how making a list can help you solve a math problem. Write a problem that could be solved by making a list.
Answer:
Step-by-step explanation:
All that making a list does is creates a visible step by step instruction manual on what needs to be done in order to solve the math problem that needs to be solved. Lists are extremely helpful and can be used in every single math problem, for example....
15x - 25 = 275
Get rid of -25 by adding 25 on both sidesDivide 15 on both sides to isolate xCelebrate on solving the problemSee making a list isolates the problem into an easy to read instruction manual.
find the selling price: original price of a radio: 53.50 discount: 30
Answer:
48.69
Step-by-step explanation:
Step-by-step explanation:
30% off $53.50
= 70% of $53.50
= $53.50 * (70/100) = $37.45.
Find the unknown side length of the rectangle is 3 2/3 and if the area is 11m2
Answer:
The width of the rectangle given is equal to 3m.
Step-by-step explanation:
In order to solve this question we need to know that the areas of the rectangle is equal to [tex]A_{rectangle} = (l)(w)[/tex], where "l" is length and "w" is width. So know in order to solve this question we would have to find out the unknown width by using area and the length of the triangle. Based on the formula I wrote down earlier we can understand the following.....
[tex]A_{rectangle} = (l)(w)[/tex]
[tex]\frac{A_{rectangle} }{l} = \frac{(l)(w)}{l}[/tex]
[tex]w = \frac{A_{rectangle} }{l}[/tex]
Just now we found out the formula that we can use to solve for the width when we know the area and the length of the rectangle. Now in order to get the answer we just have to plug in the values we know, and we get........
[tex]w = \frac{A_{rectangle} }{l}[/tex]
[tex]w = \frac{11m^{2} }{(3\frac{2}{3}m )}[/tex]
[tex]w = 3m[/tex]
2. In the formula y = mx + b, what does "m" stand for?
a) y-intercept
b) slope
O C) x-axis
d) y-axis
Answer:
B.)Slope
In the equation y = mx + b for a straight line, the number m is called the slope of the line.
The coordinates of then vertical of parallelograms WXYZ are W(-2,3) , X(-1,0) , Y(5,2) and Z (4,5) the slope of
I’ll give brainliest
Answer:
The slope of WX and WY
Step-by-step explanation:
For us to have a rectangle, the angles at the edges equal 90
What this mean is that the width and the length are at 90 degrees
Hence, we can say that they are perpendicular to one another
Thus, we can calculate the slopes of both to drive home our point
Hence, by calculating the slopes of WX and WY, We can proof that we have a rectangle
For the equation y = 2.5X, choose which ordered pairs would be on the line if it was graphed? Select ALL that apply.
(0, 0) and (-4, -10)
(1, 3.5) and (2, 5)
(1, 2.5) and (3, 6.5)
(-1, -2.5)
(0. 0) and (2, 5)
(3, 7.5) and (-3, -7.5)
Brian buys a computer for £3600. It depreciates at a rate of 5% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate.
Answer:
£3591
Step-by-step explanation:
Brian buys a computer for £3600. It depreciates at a rate of 5% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate.
The formula for Depreciation rate =
P = Po × e^-rt
P = Amount after depreciation
Po = Initial amount = £ 3600
r = depreciation rate = 5% = 0.05
t = time in years = 2
Hence:
P = £3600 × e ^ -0.05 × 2
P =£ 3600 × e-0.0025
P = £ 3591.0112406
Approximately = £3591
Can anyone tell me why I got this question wrong? Btw Happy Holidays!
Answer:
Hope this may helps you
Answer:
Column A:
You calculate slope doing y2-y1/x2-x1
So -10-1/5-(-2)= -11/7
Column B:
Rearrange the equation to get y
-3x+2y=7
2y=3x+7
y= 1.5x + 7
Therfore we have that the slope of column be is greater because it has a positive regression. While column A has a negative slope.
Rate positively and give brainlist
Which expression has the same value as 37.4 - 54.9?
Answer:
D
Step-by-step explanation:
In the original expression = 37.4 - 54.9 = -17.5
So, we have to solve all the equations but 1 of them has to equal to -17.5
A) -54.9 + (-37.4) = -92.3
Remove parentheses
= -54.9 - 37.4
Subtract the numbers
-92.3
B) 54.9 - 37.4 = 17.5
Since 54.9 is greater than 37.4 just subtract normally
4 14
5 4. 9 < ------- Line up the decimal points like this
- 3 7. 4 <--------- Subtract the decimals
-----------------
1 7 . 5 <---------- This is the final answer to B.
C) 37.4 - (- 54.9) = 92.3
Change the sign to addition
=37.4 + 54.9
Add the numbers normally
54.9
+ 37. 4
--------------
92.3
D) 37.4 + (-54.9) = -17.5
Change the sign to subtraction
= 37.4 - 54.9
Subtract them normally (but as you can see you are subtracting a smaller number from a larger number so heres a trick that you can use switch the equation by putting the larger number in first like this....)
54.9 - 37.4 = 17.5 (REMEMBER the answer is not 17.5 because the original equation of D is reversed 37.4 - 54.9 so in this case your answer should be
- 17.5)
37.4 - 54.9 = -17.5
Your final answer is D because it matches 37.4 - 54.9.
Hope this helps!
Answer: -54.9+(-37.4)
Step-by-step explanation:
Your final answer is D because it matches 37.4 - 54.9.
Which ordered pair represents the translation of R to S?
Which of the following is a solution of the function graphed below?
Answer:
Option A
Step-by-step explanation:
It's a point on the function's graph
What is the solution to the following proportion?
18/x = 3/2
Answer:
cross multiply to get 12
Step-by-step explanation:
Answer:
X=12
Step-by-step explanation:
18 x 2 is 36 divided by 3 is 12
you can simplify 18/12 by 6 to get 3/2
What is the graph of the function rule y=1/3x−1
15 POINTS!!!!
Solve the equation.
p over five + 6 = 10
A. 44
B. 30
C. 20
D. –20
p/5 + 6 = 10
=> p/5 = 10-6
=> p/5 = 4
=> p = 5×4
=> p = 20
C. 20
Here is a list of ingredients for making 12 small cakes. 108 g margarine 180 g sugar 200 g plain flour 1 teaspoon baking powder 2 eggs. Joe is going to make 24 of the small cakes. Determine how much margarine he will need. Write your answer in a complete sentence.
Answer:
216g of margarine
Step-by-step explanation:
From the above question:
12 small cakes required 108g of margarine
If he would be making 24 of the small cakes, hence, that would be calculated as:
12 small cakes = 108g of margarine
24 small cakes = x
Cross Multiply
12 × x = 24 × 108g
x = 24 × 108g/12
x = 216g of margarine
Therefore, he would need 216g of margarine to make 24 of small cakes
An electrician charges $50 to come to your house. He also charges $25 for each hour he spends at your house. The electrician charges you a total of $125. How many hours did he spend at your house? Please also write the equation
Answer:
He was there for three hours
Step-by-step explanation:
$25 times 3=$75
$50+$75=$125
Lucas took his bike to a local park to ride on some bike trail.Trail A is 6 3/4 miles long.Trail B is 8 1/2 miles long. How many miles long is Trail B then Trail A
Answer: Trial B is [tex]1\dfrac{3}{4}[/tex] miles longer then Trail A.
Step-by-step explanation:
Length of Trail A = [tex]6\dfrac34[/tex] miles
= [tex]\dfrac{24+3}{4}[/tex] miles = [tex]\dfrac{27}{4}[/tex] miles.
Length of Trail B = [tex]8\dfrac12[/tex] miles
= [tex]\dfrac{16+1}{2}[/tex] miles = [tex]\dfrac{17}{2}[/tex] miles.
Trial B is longer then Trail A by [tex]\dfrac{17}{2}-\dfrac{27}{4}[/tex] miles
[tex]=\dfrac{17\times2}{2\times2}-\dfrac{27}{4}[/tex] miles
[tex]=\dfrac{34}{4}-\dfrac{27}{4}[/tex] miles
[tex]=\dfrac{7}{4}[/tex] miles
[tex]=1\dfrac{3}{4}[/tex] miles
Hence, Trial B is [tex]1\dfrac{3}{4}[/tex] miles longer then Trail A.
Please help I have searched this question and have not found it. I am bad at math and I'm taking a test and need answers so please help me
Juanita has completed typing 6 pages of her term paper. If her term paper is 18 pages long, how many more pages does she have to type?
A. 3 pages
B. 11 pages
C. 12 pages
D. 14 pages
Please select the best answer from the choices provided
Answer:
C because 18-6=12
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
all you do is subtract lol
write and solve this equation: Samantha is one year less than twice her brother Jack’s age. If the sum of their ages is 41, how old is Samantha?
Answer:
Samantha's age = 27 years
Step-by-step explanation:
Let Jack's age be = xAs Samantha is one year less than twice her brother Jack’s age.
So Samantha's age = 2x-1As the sum of their ages is 41.
Thus, the equation become
x+2x-1 = 41
3x-1 = 41
3x = 42
Dividing both sides by 3
x = 14
It indicates that Jack's age = 14 years
Therefore,
Samantha's age = 2x-1 = 2(14)-1 = 27 years
which statement about 2(×+4) is true ?
Answer:
The answer is 2x + 8
Step-by-step explanation:
