Determine the slope of the line 8x – 4y - 9 = 0.
Оа
HN
Ob
2
ос
3
Od
4
Answer:
m = 2
Step-by-step explanation:
The given equation is :
8x – 4y - 9 = 0
The general equation of a line is given by :
y = mx+b ...(1)
here m is slope and b is y-intercept
Equation (1) can be written as :
8x – 4y = 9
Dividing both sides by (-4)
[tex]\dfrac{8x}{-4}-\dfrac{4y}{-4}=\dfrac{9}{-4}\\\\-2x+y=-\dfrac{9}{4}\\\\y=2x+\dfrac{-9}{4}[/tex] ...(2)
Comparing equation (1) and (2), we get :
m = 2
Hence, the slope of the line is 2.
Robin invested $1000 in a 12% simple interest savings deposit for 3
years. He also invested an equal amount in a 10% compound interest
savings deposit for 3 years. At the end of 3 years, how much more
interest did he get from the simple interest deposit?
Step-by-step explanation:
Lets find out,shall we?
Simple interest=(PRT)/100
=$1000×12×3)/100
=$360
Now for compound interest
A=P(1+R/100)^t
A=$1000(1+12/100)^3
A=$1404.928
so interest for compound interest=$(1404.928-1000)=$404.928
Clearly,Robin got more interest by compound interest than simple interest which business people understand lol.
Difference in interest=$404.928-360=$44.928
The sum of 333 consecutive odd numbers is 183183183.
What is the second number in this sequence?
Answer: if this is khan academy the answer is 61
Step-by-step explanation:
I’ll love you forever if you help me with this ASAP PLEASE
Answer:
A: -0.33
Step-by-step explanation:
If you convert it to slope-intercept form, you get y = -1/3x + 4 so the slope is -1/3 or -0.33
PLEASEEEEEEEEEEE NO ONE IS HELPING ME!!!!!!!!
George was writing a paper for English class. He has already written 1 complete page. He plans on writing his paper at a rate of 2 pages per hour. Show all work and explain your answers clearly. Use complete sentences.
How many pages will George have written after 3 hours?
Answer:
George would have 7 pages complete
Step-by-step explanation:
Since he has 1 paper complete now and after 3 hours he would have 7 since 3x2=6 and 6+1=7
-3х - y + 4 = 28
2х - 3y+ 2 = 2
3х - 2y + 2 = 2
Solve each system by elimination
Answer:
x=-72/11 y=-48/11
Step-by-step explanation:
yw !
3(x + 5)2 + 6 vertex
Answer:
The equation does not match the form of any conic section.
Not a Conic Section
Step-by-step explanation:
Steven and Brittney are both starting lawn mowing businesses to save money to buy a dog. Steven charges $20 a yard and $6 an hour. Brittney charges $28 a yard and $5 an hour. How many hours will they need to work to have the same amount of money. If the cost of the dog is $300, who will be able to buy it first?
a. 8hrs to have the same amount of money
b.18 hours to have the same amount of money
c. Brittany will be able to buy the dog first
d. Steven will be able to buy the dog first
Answer:
d
Step-by-step explanation:
18 always still have the same amount of money
can someone help me please?
The base of tyler's cabin is a 56 feet by 78 feet rectangle. What is the area of the base of tyler's cabin?
Strategy:
why did you choose this strategy:
======================================================
Explanation:
Check out the diagram below
I drew a rectangle with dimensions 56 ft by 78 ft.
Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8
The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point
In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)In the upper right corner, we have an area of 70*6 = 420In the lower left corner, we have an area of 50*8 = 400In the lower right corner, we have an area of 6*8 = 48Add up all the areas found: 3500+420+400+48 = 4368
As a way to check, using your calculator shows that 56*78 = 4368
Emilio has 2 quarters, 4 dimes, 3 nickels and 5 pennies. How much money does Emilio have in all?
Answer:
$1.10
Step-by-step explanation:
What we know:
Emilio has 2 quarters, 4 dimes, 3 nickels, and 5 pennies.
Quarters = 0.25 * 2
Dimes = 0.1 * 4
Nickels = 0.05 * 3
Pennies = 0.01 * 5
$0.50 + $0.40 + $0.15 + $0.05
$0.90 + $0.20 = $1.10 in total
Brianna went on a trip to the art museum and sketched a scale drawing of a rectangular wall mural. She used a scale factor of 0.2. The sketch was 12 inches wide and 18 inches long. What was the length of the mural? 3.6 inches 18.2 inches 60 inches 90 inches
pls answer quick this is worth 65 points
Answer:
90 inches
Step-by-step explanation:
18 divided by 0.2 is 90
Answer:
D: 90 inches
Step-by-step explanation:
Got it right on edge!
can someone help? exams are tomorrow and i have no clue how to do this problem?
I just need help with the option that is blank
please help its timed
Answer:
A.) f(x) = 45 - 4(x - 1)
Step-by-step explanation:
x - 9 = 0.7*x + 0.6*x
Answer:
x = -30
Step-by-step explanation:
[tex]0.7x+0.6x=1x-9\\=>1.3x=1x-9\\=>1.3x-1x=9\\=>0.3x=-9\\=>\frac{3}{10}x =-9\\=>x=\frac{-9*10}{3} =-30[/tex]
20-34+ 8/2 =? PLS HELP ME I GIVE ALL MY POINTS.
Answer:
-10
Step-by-step explanation:
20-34=-14, 8/2 is just 4, so add 4 to -14 which = -10
Which graph represents a bike traveling at a constant rate of
12 miles per hour?
Answer:
what graph?...........
riangle ABC is transformed using the rule (x, y) - (-x-3, y + 2). Which set of points describe triangle A'B'C'?
O A (1, 4), B'(-3,-1), C'(-1, -3)
O A (-7, 4), B' (-3,-1), C'(-5,3)
O A(-5, -2), B' (0, 2), C' (2,0)
O A' (4,4), B' (0-1), C' (2, -3)
Answer:
b
Step-by-step explanation:
Divide the following polynomial expression.
(n^4 +5n^3+9n^2) / 9n^3
PLs help I can't stay too long my assignment is due in 20 min!
Divide. Write the quotient in lowest terms.
3/5 divided by 2 and 1/2
Answer:
Decimal: 0.24
Fraction: 6/25
Rearrange w=3(2a+b)-4 to make a the subject
Answer:
a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w
Step-by-step explanation:
Original equation: w=3(2a+b)-4
1. Distribute the 3 to the numbers inside parenthesis to get:
w=6a+3b-4
2. Subtract 6a from both sides to get:
-6a+w=3b-4
3. Subtract w from both sides to get:
-6a=3b-4-w
4. Divide both sides by -6 and simplify to get:
a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w
Write the slope of a line perpendicular to y=-6x+4. Explain why it is perpendicular
Answer:
1/6 is the slope since you have to flip it
Step-by-step explanation:
Answer:
The slope of a line perpendicular to the equation is 1/6 or x/6.This is perpendicular because it is the reciprical of the other equation
Step-by-step explanation:
y=-6x+4.
the slope intercept form is y=mx+b
m is the slope
m=-6
for the equation to be perpendicular then the slope is the reciprical
Knowing this lets find a line perpendicular to this equation
Equation:
y=1/6x+2/3
or
y=x/6+2/3
16-2<5
solveeeeee itttttt
[tex]b-2<5\\b<5+2\\b<7[/tex]
Therefore, the answer is b < 7.
The range of f(x) = 3x + 1.1 is {16.1, 19.1, 25.1). What is the domain?
A. (5,6,8)
B. 49.458 4, 76.4)
C. All positive real numbers
D. All real numbers
Answer:
It’s A. (5,6,8)
x+8y
units
8x -x+5y units
what’s the perimeter?
Answer:
P = 16x+26y units
Step-by-step explanation:
Let the length is (x+8y) units
Width = (8x-x+5y) units
We need to find the perimeter. We know that the perimeter is equal to the sum of all sides.
P = 2[(x+8y) + (8x-x+5y)]
= 2[(8x+8y+5y)]
= 2[8x+13y]
= 16x+26y
Hence, the required perimeter is 16x+26y.
A study concluded that among people with a certain virus, 99.2% of tests conducted were (correctly) positive, while for people without the virus, 97.9% of the tests were (correctly) negative. If 32% of patients actually carry the virus, what's the probability that a patient testing negative is truly free of the virus?
Answer:
Following are the solution to the question:
Step-by-step explanation:
The probability of virus P(V) =0.32
No virus P(NV) =0.66
Patient testing of negative P(TN) = virus, and negative testing+no virus and negative testing
[tex]=0.32(1-0.992)+0.66 \times 0.979 \\\\=0.00256+0.64614\\\\=0.6487[/tex]
This is why the likelihood of a patient being free of the virus is negative.
[tex]= \frac{P(NV) \times\ tested \ negative }{P(TN)}[/tex]
[tex]= \frac{0.66 \times 0.979}{0.6487}\\\\= \frac{0.64614}{0.6487} \\\\=0.996053646[/tex]
Which of the following is a step in simplifying the expression ?
Answer:
1
Step-by-step explanation:
What’s point B’
What’s point C’
After being dilated by a scale factor 1.5?
Given:
The given figure is dilated by a scale factor 1.5.
To find:
The coordinates of B' and C'.
Solution:
If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is
[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]
From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).
The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is
[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]
[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]
[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]
[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]
Using this rule, we get
[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]
[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]
[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]
And
[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]
[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]
[tex]C(-2,2)\to C'(-6,-6)[/tex]
Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).
Find the value of 3v- 10 given that 2v- 7 = 9
Answer:
14
Step-by-step explanation:
2v - 7 = 9
Add 7 to both sides
2v = 16
Divide both sides by 2
v = 8
Plug it into 3v - 10
3v - 10 =
3(8) - 10 =
24 - 10 =
14
Answer:
14
Step-by-step explanation:
2v-7=9
2v=16
v=8
3(8)-10=14
Find the value of a in the polygon below.
Answer:.
m= 116 degrees
a=41 degrees
Step-by-step explanation:
Explaination: add 89+50+64 = 203
the line that m is on should equal 180. so subtract 64 from 180 and you get 116 degrees. then add 89+50+64+116=319
360-319= 41
the whole polygon should equal 360 degrees