Answer:
3x + 4y = - 14
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 4y = 12 ( subtract 3x from both sides )
4y = - 3x + 12 ( divide all terms by 4 )
y = - [tex]\frac{3}{4}[/tex] x + 3 ← in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
Parallel lines have equal slopes, thus
y = - [tex]\frac{3}{4}[/tex] x + c ← is the partial equation
To find c substitute (- 2, - 2) into the partial equation
- 2 = [tex]\frac{3}{2}[/tex] + c ⇒ c = - [tex]\frac{7}{2}[/tex]
y = - [tex]\frac{3}{4}[/tex] x - [tex]\frac{7}{2}[/tex] ← in slope- intercept form
Multiply through by 4 to clear the fractions
4y = - 3x - 14 ( add 3x to both sides )
3x + 4y = - 14 ← in standard form
. (43 x 2) x 5 = 43 x (2 x 5)
what property is this
Answer:
This property is known as the associative property
Step-by-step explanation:
In the associative property, you rearrange the numbers so they make the most sense in what position they are in.
Hope this helps! :)
Answer:
associate property
:<
Find the area of the regular polygon.
32
Answer: 45
Step-by-step explanation: that is correct
In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2?
A.
A F:AE
B.
BC:EF
C.
EF:AI
D.
AI:EF
E.
AI:AD
Answer: AI:EF
Step-by-step explanation:
Answer:
D. ) AI:EF
Step-by-step explanation:
PLATO
1. A bag contains 15 red balls and 6 blue balls. Find the probability of picking at random a blue ball from the bag.
2. A bag contains 6 white and 8 red balls. What is the probability that a ball picked at random will be a white ball ?
3. There are 12 red and 8 blue balls in a bag. If a ball is selected at random from the bag, what is the probability that it is
red ?
4. A bag contains 4 blue and 8 red balls. What is the probability of picking a blue ball at random from the bag?
5. A bag contains 6 blue and 5 black balls. Wihat is the probability of picking a black ball at random?
Answer:
1. 6/21
2. 6/14
3. 12/20
4. 4/12
5. 5/11
Step-by-step explanation:
color of ball your looking for/Total amount of balls
Probability for the situations given are 1. 6/21, 2. 3/7, 3. 3/5, 4. 1/3 and 5. 5/11.
What is Probability?Probability is the chance of getting an outcome for an event. Probability is calculated by dividing the number of likely outcomes by the total number of outcomes.
1. Number of red balls = 15
Number of blue balls = 6
Total number of balls = 15 + 6 = 21
Probability of getting a blue ball = 6/21
2. Number of white balls = 6
Number of red balls = 8
Total number of balls = 6 + 8 = 14
Probability of getting a white ball = 6/14 = 3/7
3. Number of red balls = 12
Number of blue balls = 8
Total number of balls = 20
Probability of getting a red ball = 12/20 = 3/5
4. Number of blue balls = 4
Number of red balls = 8
Total number of balls = 12
Probability of getting a blue ball = 4/12 = 1/3
5. Number of blue balls = 6
Number of black balls = 5
Total number of balls = 11
Probability of getting a black ball = 5/11
Hence the probabilities of selecting a ball at random in each case has been answered.
Learn more about Probability here :
https://brainly.com/question/30034780
#SPJ2
F(x) = 2x+1 and g(x) =x^2-7 find (f-g) (x)
Answer:
(f - g)(x) = -x² + 2x + 8
Step-by-step explanation:
Step 1: Plug in variables
2x + 1 - (x² - 7)
Step 2: Distribute the negative
2x + 1 - x² + 7
Step 3: Combine like terms
-x² + 2x + 8
Answer:
-x^2 +2x +8
Step-by-step explanation:
F(x) = 2x+1
g(x) =x^2-7
(f-g) (x) =2x+1 - ( x^2 -7)
Distribute the minus sign
= 2x+1 -x^2 +7
-x^2 +2x +8
PLS HELP ASAP The following probability distribution table shows information collected from a survey of students regarding their grade level and the transportation they use to arrive at school. What is the probability that a randomly selected eighth grader takes the bus?
Answer:
44%
Step-by-step explanation:
For these types of problems, look at the totals. We know that there are 0.44 out of 1 eighth graders. Since it doesn't specify how the 8th grader is dropped off, we take 0.44 and divide it by 1 (the total). We get 0.44, but since it's most likely asking for percentages, multiply that by 100.
How do you simplify:
[tex] \sqrt{(125 ^{2} } ) ^{ - \frac{1}{3} } [/tex]
Answer:
[tex]\huge\boxed{\sqrt{(125^2)^{-\frac{1}{3}}}=\dfrac{1}{5}}[/tex]
Step-by-step explanation:
[tex]\sqrt{(125^2)^{-\frac{1}{3}}}\qquad\text{use}\ (a^n)^m=(a^m)^n\\\\=\sqrt{\left(125^{-\frac{1}{3}\right)^2}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=125^{-\frac{1}{3}}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{125^\frac{1}{3}}\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\dfrac{1}{\sqrt[3]{125}}=\dfrac{1}{5}\qquad\text{because}\ 5^3=125[/tex]
As an estimation we are told £3 is €4. Convert £34.50 to euros.
Answer:
46 euros
Step-by-step explanation:
£30 = 40 euros
4.50 = £3 and £1.50
£3 = 4 euros
1.50 = 2 euros because you half the 4 euros because half of 3 is 1.50
hope this helps if not sorry
Answer:
€46
Step-by-step explanation:
→ We know £3 = €4, so we have to work out how many euros in £1
£3 = €4
(÷3) (÷3)
£1 = €1.3
→ Now we multiply £34.50 by €1.3 because we know £1 = €1.3
£34.50 × €1.3 = €46
PLEASE HELP!!!
Here are the prices of five new skateboards, in dollars: 75, 82, 100, 120, 140.
The standard deviation is about $27.
If a sixth skateboard is added to the sample that has a price of $450, what
happens to the standard deviation?
Answer:
standard deviation=143.527
C
Step-by-step explanation:
75, 82, 100, 120, 140.
if we add 450
75, 82, 100, 120, 140,450
standard deviation=143.527
find the mean=sum /count=967/6=161.167
then find the √square difference between each sample and the mean, add up the differences²/6-1
find the square root of the differences=143.527
Answer:
C-the new standard deviation is greater the $27
A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point? A coordinate plane.
Answer:
9
Step-by-step explanation:
Put the given information into the equation and solve for x.
y = (2/3)x -6
0 = (2/3)x -6 . . . . . substitute for y
0 = x - 9 . . . . . . . . multiply by 3/2
9 = x . . . . . . . . . . . .add 9
The x-coordinate of the x-intercept point is 9.
Answer:
x=9
hope this helps :>
in the function equation ff (xx ) = 1500 (1.43)^xx, is it growth or decay? what is the percent of the growth/decay? what is the initial value?
Answer:
The initial value is 1500
growth
43 % growth
Step-by-step explanation:
Exponential equations are in the form
y = a * b^x
a is the initial value
b is the growth or decay
b>1 is growth b-1 rate of growth
b <1 decay 1-b rate of decay
f(x) = 1500 * 1.43 ^x
The initial value is 1500
1.43 > 1 so it is growth
1- 1.43 = .43
Change to percent
43 % growth
Helppp!!!! please!!!
Answer:
A) 120 ft^2
Step-by-step explanation:
The total surface area is the sum of the areas of the 4 congruent triangular sides and the area of the square base.
TA = 4 * area of triangle + area of square
TA = 4 * bh/2 + s^2
TA = 4 * 6 ft * 7 ft/2 + (6 ft)^2
TA = 84 ft^2 + 36 ft^2
TA = 120 ft^2
Answer:
A) 120 ft^2
Step-by-step explanation:
SOMEONE PLZZZ HELP ME WITH THIS QUESTION!! I'd be immensely grateful :/
Answer:
Step-by-step explanation:
First let's find the value of x :
We khow that the area of this triangle is 400 and it is given by the product of the base and the height over 2
the base is x the height is 2x Let A be the area : A= (2x*x)/2 =2x²/2 =x² so x²= 400 ⇒ x= 20≥ 0 because it's a distanceLet's find the hypotenuse :
The pythagorian theorem :
h²= x²+(2x)² h²= x²+ 4x²h²= 5x² x=20⇒ h²= 5*(20)²h²= 2000h= 20[tex]\sqrt{5}[/tex] ≥0 because it is a distanceHELPPPPPPPPP ! In circle O, what is measure of Arc AE? A. 84 B. 96 C. 120 D. 168 BTW I HAVE MORE QUESTIONS UP IF YOU WANT TO HELP!!!!!1
Answer:
arc m AE = 120
Step-by-step explanation:
∠C = 1/2 (AE-BD)
We can fill most of that in with the info we were given:
36= 1/2(AE-48)
Multiply both sides by 2 to get
72 = AE - 48 so
AE = 120°
What is the value of x in the equation 4x +8y=40, when y=0,8?
Answer:
x=8.4
Step-by-step explanation:
4x +8y=40
replace y as 0.8
4x+8*0.8=40
4x+6.4=40
subtract 6.4 from both sides
4x=33.6
divide by 4
x=8.4
Step-by-step explanation:
4x + 8y = 40
Simplify the equation
Divide all terms by 4
We have
x + 4y = 10
Make x the subject
x = 10 - 2y
When y = 0.8
Substitute the value of y into the equation
We have
x = 10 - 2(0.8)
x = 10 - 1.6
x = 8.4
Hope this helps you
You decide to buy a 60 in plasma-screen TV. You borrow $4500 from the
electronics store at 1.9% per month simple interest, with no payments due for
2 years from the date of purchase.
How much will you owe on the loan after 15 months? Round your answer to
the nearest whole dollar.
What is the equation of the following line? Be sure to scroll down first to see
all answer options
Answer:
B. -1/3x
Step-by-step explanation:
Start with
y = mx + b
The y-intercept is 0, so we have
y = mx
To find m, the slope, start at (0, 0).
slope = m = rise/run
Go up 1 unit and left 3 units. Rise = 1; run = -3.
m = 1/(-3) = -1/3
Now we have
y = -1/3x
Answer: B.
Explain the significance of the equation y = 50x + 20 which represents the hourly cost of a car repair.
The questions doesn't really specify much here is as much I can say.
Since 50 is the slope we can say that this is the hourly cost of a car repair (as stated in the question).
20 represents the y-intercept so this could represent the cost for the technician to look at whats wrong with the car.
Best of Luck!
Draw the graphs of y=2x plus 1
Hey there! :)
Answer:
Graphed below.
Step-by-step explanation:
Graphing y = 2x + 1 can be done by finding points on the line. Find the y and x intercepts to make graphing more simple:
Solving for the y-intercept:
y = 2(0) + 1
y = 1, or (0, 1). This is the y-intercept.
Solving for the x-intercept:
0 = 2x + 1
Subtract 1 from both sides:
-1 = 2x
Divide both sides by 2:
x = -1/2, or (-1/2, 0). This is the x-intercept. We can graph the equation given these two points.
Robyn saves up $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each. Which equation represents the situation? A. 204x=8.15+32.5 B. 8.15x+32.5=204 C. 8.15+32.5x=204 D. 32.5x=204⋅8.15
Answer: B
Step-by-step explanation:
If we assume the no. of books to be x.
Value of more books will be 8.15 x
The equation will be
8.15x + 32.5 = 204
What is 5d - 10 = 20
Answer:
d = 6
Step-by-step explanation:
5d - 10 = 20
Add 10 to each side
5d - 10+10 = 20+10
5d = 30
Divide by 5
5d/5 = 30/5
d = 6
Answer:
d = 6
Step-by-step explanation:
5d - 10 = 20
Add 10 to both sides of the equation
5d = 30
Divide both sides of the equation by 5
d = 6
Hope this helps :)
An oblique cone has a radius of 5 units and a height of 9 units. What is the approximate volume of the oblique cone? Use π ≈ 3.14 and round to the nearest tenth. A)117.8 cubic units B)141.3 cubic units C)235.5 cubic units D)282.6 cubic units
Answer:
Option (C) 235.5 cubic units
Step-by-step explanation:
Data obtained from the question include:
Radius (r) = 5 units
Height (h) = 9 units
Pi (π) = 3.14
Volume (V) =..?
The formula for calculating the volume of an oblique cone is the same as the formula for calculating the right cone. The formula is given below:
V = 1/3πr²h
With the above formula, we can obtain the volume of the oblique cone as follow:
V = 1/3πr²h
V = 1/3 x 3.14 x 5² x 9
V = 3.14 x 25 x 3
V = 235.5 cubic units.
Therefore, the volume of the oblique cone is 235.5 cubic units.
The temperature each hour in Elma, Texas on October 1 is modelled by the equation
t(h) = 10 cos(15h - 10)° + 30 where his hour of the day with 0 meaning midnight, and t is the
temperature in degrees Celsius. How hot did it get in Elma on October 1?
Answer:
[tex]39.8^{\circ} C[/tex]
Step-by-step explanation:
We are given that the temperature each hour in Elma Texas on October 1 is modelled by the equation
[tex]t(h)=10cos(15h-10)^{\circ}+30[/tex]
Where h=Hour of the day with 0 meaning midnight
t=Temperature in degree Celsius
We have to find the temperature on October 1.
Substitute h=0
[tex]t(0)=10cos(15(0)-10)+30[/tex]
[tex]t(0)=10cos(-10)+30[/tex]
[tex]t(0)=39.8^{\circ} C[/tex]
Hence, the temperature in Elma on October 1=[tex]39.8^{\circ} C[/tex]
0.6y + 0.8 = 0.28y + 1.12
Answer:
y = 1Step-by-step explanation:
[tex]0.6y + 0.8 = 0.28y + 1.12[/tex]
Move the variable to L.H.S and change its sign:
[tex]0.6y - 0.28y + 0.8 =1.12[/tex]
Move the constant to R.H.S and change its sign:
[tex]0.6y - 0.28y = 1.12 - 0.8[/tex]
Calculate
[tex]0.32y = 0.32[/tex]
Divide both sides of the equation by 0.32
[tex] \frac{0.32y}{0.32} = \frac{0.32}{0.32} [/tex]
Calculate
[tex]y = 1[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
Hello!
`~~~~~~~~~~~~~~~~~~~~
0.6y + 0.8 = 0.28y + 1.12 =
[tex]y = 1[/tex]
~~~~~~~~~~~~~~~~~`~~~
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you. Brainliest would be nice!
☆_________________❤︎_________________☆
Peter makes a large amount of pink paint by mixing red and white paint in the ratio 2 : 3. Red paint costs £80 per 10 litres. White paint costs £5 per 10 litres. Peter sells his pink paint in 10-litre tins for £60 per tin. Calculate how much profit he makes for each tin he sells
Answer: £25
Step-by-step explanation:
Given the following :
pink paint production = mixing red and white paint in the ratio 2 : 3
Price of red paint = 80 per 10 Litre
Price of white paint = 5 per 10 Litre
Selling price of pink paint = £60 per 10 litre
Recall the ratio of red to white paint :
2 : 3 ; 2 +3 = 5
Therefore,
Amount of Red paint used:
= (2/5) × 10 ; 20/5 = 4,
Cost per Litre = 80 / 10 = £8
Cost of red paint = 4 × 8 = £32
Amount of white paints used:
= (3/5) × 10 ; 30/5 = 6
Cost per Litre = 5 / 10 = £0.5
Cost of white paint = 6 × 0.5 = £3
Total cost of production = £(32 + 3) = £35
Profit = selling price - product cost
Profit = £(60 - 35) = £25
A pyramid arena in Galveston, TX is a rectangular pyramid with a base area of 70,840ft^2 and a height of 12 stories. Each story is approximately 10 feet. Estimate the volume in cubic feet.
Answer:
approximate volume = = 28336 cubic ft.
Step-by-step explanation:
Base area = 70840 sq. ft
Each story is about 10 ft.
approximate height = 12*10 = 120 '
Volume of pyramid
= Base * height /3
= 70840 * 120 / 3
= 28336 cubic ft.
Answer: 2,833,600 [tex]ft^{3}[/tex]
Step-by-step explanation: Please see the image below!
what is the (Highest Common Factor) HCF of 77, 91 and 143. Also give its index notation
Answer:
Hello!
____________________
77 = 1 x 7 x 11
91 = 1 x 7 x 13
143 = 1 x 11 x 13
Step-by-step explanation: There are no HCF's except 1. So 1 is the highest common factor. HCF ( 77, 91 143 ) = 1
Hope this helped you!
Answer:
HCF = 1
Step-by-step explanation:
Factors of 77 = 1,7,11,77
Factors of 91 = 1, 7, 13, 91
Factors of 143 = 1, 11, 13, 143
The Highest factor which is common in all of the factors is 1.
Index notation = [tex]1^1[/tex]
What is the product? [ 4 2 ] x [ -2 5 7 -1 ]
Answer:
The fourth option is correct [6 18]Step-by-step explanation:
This problem has to do with matrix multiplication.
we have a row matrix multiplying a 2x2 matrix, this will result to a row matrix
=[4*-2+2*7] and [4*5+2*-1]
=[-8+14] and [20+-2]
=[6 18]
Answer:
c. (6,18)
Step-by-step explanation:
Differentiate x^(-3)/3-2x^2-x^(-1)
Answer:
-2x^2
Step-by-step explanation:
Simplify
x^-1 - 2x^2 - x^-1
becomes
-2x^2
Multiply. (5x+7)^2 :)
Answer:
The answer is B.
Step-by-step explanation:
You can expand it in a simplier way using :
[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
So for this question :
[tex] {(5x + 7)}^{2} \\ = {(5x)}^{2} + 2(5x)(7) + {(7)}^{2} \\ = 25 {x}^{2} + 70x + 49[/tex]
Answer:
B. 25x^2+70x+49
Step-by-step explanation:
To multiply we can use a method called FOIL. In this method, we multiply the first terms of each binomial, then the outer terms (first and last), then the inner terms (2nd and 3rd), and finally the last terms (2nd and last). The two binomials in this case are (5x+7)(5x+7).
So this means we first multiply 5x*5x, then 5x*7, then 7*5x, and finally 7*7. Multiplying these out we get 25x^2 + 35x + 35x +49. Finally, combining like terms we get 25x^2+70x+49, which is our answer.