Step-by-step explanation:
a. Substituting (0,b) into the point-slope form, we get y = mx + b. Plug in 0 to the x1 value and plug in b into the y1 value. Add b to both sides and you should get y = mx+b.
b. Slope-intercept shows how to get specific x or y values at a point if three of the four variables (y, m, x, or b) are known. Point slope form is used mainly when finding the slope from two distinct points. (Later, you'll learn it's importance in the definition of a derivative :).)
c. y = mx + b. Refer to a.
Answer:
a) y-b=m(x-0)
b) (x1, y1) , point-slope, y, slope-intercept
Explanation
Joy is preparing 15 liters of 25% saline solution. She
only has 40% and 10% solution in her lab. How many liters of
the 10% should she mix to make the 25% solution?
Answer:
10 liters of 40% solution
10 liters of 10% solution
3409/14 with decimal
Answer:
243.5
Step-by-step explanation:
3409/14 times 7/7
By the way i divided both numerator and denominator by 77 because of gcf
Reduce
487/2
243.5
The cost of bananas varies directly with their weight. Miguel bought
3 1/2 pounds of bananas for $1.12. Write an equation that relates the cost of the bananas
to their weight. Then find the cost of 4 1/4 pounds of bananas
y= k x
c= k p
1.12 = k(3.5)
0.32 = k
y = 0.32x or c = 0.32p
y = 0.32x
y = 0.32(4.25)
y = $1.36
what is 7 1/2 divided by 5 5/8
Answer:
1.33
Step-by-step explanation:
9514 1404 393
Answer:
4/3
Step-by-step explanation:
If you're familiar with decimal equivalents (or even if you're not), you can use your calculator to compute the quotient:
7.5/5.625 = 1.333333333...
The rational number equivalent of the result is 4/3.
__
If you like to work directly with the rational numbers, you can write the ratio as ...
(7 1/2)/(5 5/8) = (7 4/8)/(5 5/8) = (60/8)/(45/8) = 60/45 = 4/3
12 1/2, 3 3/4 what is the distance between the two
Answer:
Estimate the following (by rounding off to nearest hundred (a)6,941 (b)6,320 (c) 416 (d)126 (e)109 (f)202 (g) 146 (h)7,699 (I)8,311 (j)986
Step-by-step explanation:
show your solution need an answer, please need an answer, please.
Answer:
As follows,
Step-by-step explanation:
You can solve these either by factoring or using the quadratic formula or other ways,
1. x^2+2x+1=0
Factoring,
(x+1)^2=0
x+1=0
x=-1
2.y^2-y-2=0
Using quadratic formula,
(-b±√(b^2-4ac))/2a
(--1±√(-1^2-4*1*-2))/2*1
(1±√(1+8))/2
(1±√(9))/2
(1±3)/2
y=(1±3)/2
y=(1+3)/2 y=(1-3)/2
y=4/2 y=-2/2
y=2 y=-1
3.y^2+y+1=0
Using quadratic formula,
(-b±√(b^2-4ac))/2a
(-1±√(1^2-4*1*1))/2*1
(-1±√(1-4))/2
(-1±√(3))/2
No real roots
4. x^2+9x+18=0
Using quadratic formula,
(-9±√(9^2-4*1*18))/2*1
(-9±√(81-72))/2
(-9±√(9))/2
(-9±3)/2
x=(-9+3)/2 x= (-9-3)/2
x=-6/2 x=-12/2
x=-3 x=-6
5.x^2+5x+6=0
Using quadratic formula,
(-5±√(b^2-4ac))/2a
(-5±√(5^2-4*1*6))/2*1
(-5±√(25-24)/2
(-5±1)/2
x=(-5+1)/2 x=(-5-1)/2
x=-4/2 x=-6/2
x=-2 x=-3
6. 3n^2-13n-10=0
Using quadratic formula,
(-b±√(b^2-4ac))/2a
(-(-13)±√(-13^2-4*3*(-10)))/2*3
(13±√(169-(-120))/6
(13±√289)/6
The discriminant b^2−4ac>0
So there are 2 real roots.
x=(13±17)/6
x=30/6 or x=-4/6
x=5 or x=-2/3
Someone please HELP!!!
I’ll make it brainliest
Answer:
Step-by-step explanation:
Question 1) Take each point and move down two units. For example: Take point A, keeping it on the vertical line, and count two squares down, then place a new point there and call it A1. Do the same for each point in the parallelogram. Question 2) Take one point from parallelogram EFGH and move it two squares to the left. Then from that new point, count four squares down and place a new dot there. Do this for every point in the EFGH parallelogram. Question 3) This one is a bit trickier. Ok, so we know three points on the graph. L(-5, -5), M(-5, -2), and N(-2, -2). Ok so we know that if we plot these points, they will make three points in a square. All we need is the fourth point. To get that, we have to place all three points on the graph. Let's start with L. The coordinates are (-5, -5). Now, the first number is -5 which means to go 5 points to the left from the center point, then the next number is -5 again, so that means that from that point that we just made, you go 5 points down, and then that is your point L. Now, for point M, it is the same thing except for the second number, it tells us to go -2. So, instead of going 5 down like the first point, you must go 2 points down after you have to the left 5 points. REMEMBER: when plotting points, you always have o start in the center point(center of the graph). Negative numbers are always left and down. Positive numbers are always right and up. Do the same thing for point N (left 2, and then 2 down). After you have plotted all three of these points, you can see that there is one point missing. The point that we are missing is (-2, -5) (2 to the left, and 5 down).Question 4) Ok, so what you want to do is first plot your points. X(2, 1): start at center point and go 2 points to the right and one point up. Y(4,4): from center point, o 4 points to the right and the 4 points up. Z(5,2): from center point, go 5 points to the right then 2 points up. Now, connect your dots and it should make a triangle. Now for the tricky part. They want us to move our triangle 4 points down. So, start with letter Y and simply count 4 points down from its original point and place the new dot there. The new coordinates to this new Y point should be: (4, 0) (4 to the right of the center point and 0 up or down) So, this point should be on the line. The reason it is still 4 to the right is because all we did was move the point down and not left or right. DO this with the other two points and you should get: X(2, -3) (2 to the right and 3 down from center point) and Z(5, 2) (5 to the right and 2 down from center point)Question 5) THE FIRST NUMBER IS ALWAS THE NUMBER ON THE HORIZONTAL LINE.I. the point is is moved 4 to the right of the center point and 2 down. So it is (4, -2)
P. This point is moved negative 4 (to the left) and down 3 . So it is: (-4, -3)
G. This point is moved 5 to the right and then up 2 which makes it (5, 2)
Q. This point is moved 6 to the right and 4 down which makes it (6, -4)
R. This point is moved 2 to the left and 2 up which makes it (-2, 2)
S. (6, 4)
J. (-2, -4)
U. (-5, 0)
H. (3, -1)
K. (-6, -5)
Write the scale without units: 1 cm:1 km
Step-by-step explanation:
scale = 1/100000 .
hope this helps you.
Identify the unit rate in the graph.
A. 40mph
B. 75mph
C. 50mph
D. 25mph
Answer:
The unit rate is C. 50mph
Step-by-step explanation:
Take two points from the line,
I took points (1, 50) and (2, 100).
Then plug them into this formula:
y2-y1/x2-x1
Solve:
(100- 50)/(2 - 1)
100 - 50 = 50
2 - 1 = 1
50/1 = 50
So, you get C. 50mph
Answer:
The answer would be C. 50mph
Step-by-step explanation:
Got right on USA test prep
Hope this helps
Solve using a proportion.
Answer:
i cant see it
Step-by-step explanation:
Is (4,12) a solution to 2x+y=40
Which expression is equivalent to this polynomial expression?
Answer:
Where is the expression
Answer:
Its c :)
Step-by-step explanation:
plato
4[3(5+2)]=95-4x3 is this statement true or false
Answer:
TRUEeeee
Step-by-step explanation:
bec. there beetwen have a
GE bisects angle DGF , m angle DGE = 53º. Find m angle DGF.
M angle DGF
Answer:
4.5 degres
Step-by-step explanation:
what is 200 x 300 kakakkakakakakkaakkkak
Answer:
60000 ty ..............
Answer:
60000
..............
what a difficult question !!! Do not ask such difficult questions ..lol
Cody buys a baseball bat for $164.50 and a baseball glove for $37.25. He estimates the total cost of the bat and glove by rounding each cost to the nearest $10. Drag numbers to the boxes to show how Cody rounds the costs.
164.50+37.50= 201.75
gtu
NEED HELP FOR REAL 69 points!!!!!!!!!!!!!! ASAP
The physicist from the last problem lets the particle fall another 100 times, and finds that the average travel time is now 16 sec. Remember that when running the simulation many times it took 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. What does she conclude and why?
what is the psychology of a middle school student compared to a elementary compared to a high school compared to a college how does the brain change
Using the formula below, find F, when f = 1000 and r = 8
Give your answer as a decimal number.
Answer: 15.625
Step-by-step explanation:
F = 1000/(8^2) = 1000/64 = 15.625
Answer:
F = 15.625
Step-by-step explanation:
This question may look quite tricky because of the square number, and fraction, but it is actually quite simple when you break it down.
To calculate this question we need to substitute the number 1000 (because we are told this is f) into where f is in our equation. Our new equation is F=1000/r^2.
Next, we need to substitute the number 8 (because we are told this is r) into where r is in our equation. Our new equation is F=1000/8^2.
At this stage, it is just a matter of putting this information directly into a calculator to find F. The answer we get is 125/8, and to get this is into decimal form, we just divide 8 by 125, and the answer is 15.625. This is our final answer.
I have attached a photograph of this calculation written down.
f(x)=3x²-4x+2, what is f(-5), show work
Given f (x) = 3x^2 - 4x + 2; What is f (-5)
f (-5) = 3x^2 - 4x + 2
f (-5) = 3(-5)^2 - 4(-5) + 2
f (-5) = 3(25) - 4(-5) + 2
f (-5) = 75 + 20 + 2
f (-5) = 97
or
( -5 , 97 )
Please let me know if this is true or false?
Answer:true
Step-by-step explanation:
true
What is 4/9 increased by 1/3 ?
Answer:
7/9
Step-by-step explanation:
4/9 + 1/3
*Multiply top and bottom by 3
4/9 + 3/9
= 7/9
**The domain of f(x) = 3x + 2 is
{-1
in the range?
Answer:
Yes
Step-by-step explanation:
Graph this function on your calculator and you will see an upwards graph, if the range (y), -1 can be mapped on the graph, it is within the range.
Find the equation of the line through the point (1, 16) that is parallel
to the given line. Write your final answer in slope-intercept form.
2y – 14x = 12
What is the value of y when x = 3 for the line defined by the equation y = -2x + 5?
Answer:
y=-1
Step-by-step explanation:
Plug in the value of x: y=-2(3)+5
Multiply: y=-6+5
Add: y=-1
Jordan has completed 5/8 of his homework assignment. What is the decimal equivalent of the amount of the assignment he has completed?
Answer:Try to see what you have to do and see if you have to divide and add subtract and multiply
Step-by-step explanation:
what is
210+185+190+x
What does x represent on this equation?
I could tell you that 210+185+190=585
A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 16 3/4 liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of 19 4/5 liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) Simplify and give your answer as a simplified mixed number. (c) What is the change in volume of the solution after 10 minutes? Show necessary work. Give your answer as a simplified mixed number.
The change in volume per minute and the total change in the volume of the solution after 10 minutes will be [tex] - 3 \frac {1}{20} \: litres [/tex] and [tex]- 30 \frac {1}{2} \: litres [/tex] respectively.
Entry rate = [tex] 16 \frac{3}{4} [/tex] per minute Discharge rate = [tex] 19 \frac{4}{5} [/tex] per minuteChange in the volume of solution in the tank per minute can be calculated thus :
Change in volume = (Entry rate - Discharge rate) × time [tex] 16 \frac{3}{4} - 19 \frac{4}{5} = \frac{67}{4} - \frac{99}{5} = \frac{(335 - 396)}{20} = \frac{-61}{20} = - 3\frac{1}{20} \: litres \: per \: minute [/tex]The total change in the volume of solution in the tank after 10 minutes can be calculated thus :
Change in volume per minute × time [tex] - \frac{61}{20} \times 10 = - \frac{610}{20} = - 30 \frac {1}{2} \: litres [/tex]Therefore, the solution in the tank decreases by [tex] 30 \frac {1}{2} \: litres [/tex] after 10 minutes
Learn more :https://brainly.com/question/18796573
N
ΔABC ΔXYZ
Find the missing side length, s.
S=[ ? ]
Answer:
12
Step-by-step explanation:
To find simple interest, you multiply the principal (in dollars), the interest rate (as a decimal), and the time in years.
The equation 22.80 = 300 •019•4 shows how to find the simple interest for a certain account after 4 years. What
is the interest rate (as a percent)? How much is the simple interest? What is the principal?
What is the interest rate (as a percent)?
A. 1.9%
B. 22.80%
C. 0.019%
D. 300%
Here we have $400 originally and it is invested at an interest rate of 0.015 for 4 years.
Therefore we can say that the interest rate is 0.015 * 4 * 100 = 6% for the 4 years.
Simple interest is 6% / 4 = 1.5%.
And the principal is $400.
