Answer:
a. y = -2/3(x) + 4
B. 2
C. 4
Step-by-step explanation:
The gradient, m = (2-4)/(3-0) = -2/3
A. To find the equation of the line we use:
y - y1 = m(x - x1).
We can pick any of the above points, if any of them is picked you will be getting the same answers regardless.
We will pic points (0, 4)
Substitute it in the equation.
=> y - 4 = (-2/3) (x - 1)
cross multiple or multiple through by 3. (same thing basically) and evaluate y and x.
=> y = (-2/3)x +4..
(ps: this x is a variable)
B. To find the x-intercept of an equation y = 0, substitute and evaluate for x form the equation of the line
C. To find the y-intercept in an equation x = 0, substitute and evaluate for y from the equation of the line
Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your recommendation for the best financial choice in their situation. Evaluate each of the three offers, compare and contrast their effectiveness, and explain the offer that works best. As you explain your answer, support it using reasons and evidence from the calculations you made based on the information provided in this guide for Analyzing Mortgage Options.
Answer:
Option A would be the best option, as the payment would not change. Option B has a lower payment, but that payment is expected to rise and eventually be a bigger payment. Option C would require them to pay it off in 8 years, which would be too much based on their income and they would end up having to get another mortgage. Option C would be better if they wanted to live their temporarily, but Demarco and Tanya would like to live in their house permanently. This makes option A the best option because it is an affordable payment that will not change.
Step-by-step explanation:
The best option will be option A which will be chosen by Demarco and Tanya.
What is finance?Finance deals with the study of money, management, creation, and investments. Also, finance is divided into the following board of categories such as personal finance, corporate finance, and public finance.
The best option will be option A which will be chosen by Demarco and Tanya as the payment plan would not change in this situation.
Option B has a lower payment, but the payment is expected to increase with time and eventually be a bigger payment.
Also, option C would require them to pay it off in 8 years but both of them want to live permanently not separately. Therefore, the best option to choose will be option A.
So, The best option will be option A which will be chosen by Demarco and Tanya.
Learn more about finances;
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The graph shows the number of possible passengers for a given
number of roller coaster cars that leave the platform. Complete parts a
and b.
Answer:
a. Use two sets of coordinates to write an equation to describe the relationship.
m = [tex]\frac{24-16}{3-2} = \frac{8}{1}[/tex]
y = 8x
b. Interpret the equation in words.
Each roller coaster car holds 8 passengers.
Can someone help me solve This. Use photo as context. In exponential growth functions , the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1? How would the exponent change if the base of the exponent were between 0 and 1?
Answer:
If the exponent was 1, the function would remain constant but if the function was between 0-1 it would decrease towards the x-axis.
Identify one point and the slope from the equation y + 4 = 1/3(x - 1)
A. m = 4 Point = (1/3, 1)
B. m = 1/3 Point = (1,-4)
C. m = 1/3 Point = (1, 4)
D. m = 1/3 Point = (-1, 4)
Answer:
B
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y + 4 = [tex]\frac{1}{3}[/tex] (x - 1) ← is in point- slope form
with m = [tex]\frac{1}{3}[/tex] and (a, b ) = (1, - 4 ) → B
Describe in words the following expressions.
2x + 15
5y - 12
Answer:
2x+15 = Two times some value of fifteen
What is the estimate for 636,291 plus 280,329
Answer:
this is simple addition: 916620
Step-by-step explanation:
Answer:
637000 + 280000
Step-by-Step-Explanation:
This is probably the best estimate
What is 216/162 written as an improper fraction in simplest form?
6/4
4/3
3/2
Answer:
4/3
Step-by-step explanation:
216/162 216 is divisible by 54 and so is 162 so if you divide both by 54 you get 4/3
Answer:
4/3
Step-by-step explanation:
lowest terms is 4/3 e e e. e
Please help!!!!!!!!!!!
Answer:
10. right triangle 11. obtuse triangle 12. right triangle 13. right triangle
Step-by-step explanation:
There are 549 coins in a bottle.
1/3 of the coins are £1 coins.
164 of the coins are 50p coins.
The rest of the coins are 20p coins.
Work out the total value of the 549 coins in pounds (£).
Answer:
12,423 i think
1/3 is 183
164x50=8200
549-347=202
202x20=4040
183+8200+4040=12423
Solve pls brainliest
Answer:
If u double both numerator & denominator, this ration is 46/100
This answer is 46%
Please help I do not understand
Answer:
-3/7
Step-by-step explanation:
Hi,
First of all, we know that the slope is not undefine because both the x-coordinates are not the same.
To find the slope, do change in y/change in x. Here, it would be ((2/7)-(5/7))/(2-1) or (-3/7)/1. Hence, the slope is -3/7.
Simplify.
36x4y6z2
12xy8z2
Answer:
(36/12)×(4y/8y)×(z2/z2)×6×(x/x)=
3× 1/2 ×6
3/2×6=9
Can someone help me with this question will mark brainliest.
Answer:
A:use SAS to show triangle PRQ is congruent to triangle SR.P
an investor owns shares of stock a and stock b. the investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?
Answer:
a = 80 shares of stock A
b =120 shares of stock B
Step-by-step explanation:
Solved by creating a system of equations
Let a be number of shares of stock A
B number of shares of stock B
a + b = 200
9.5a + 27b = 4000
Solving the two equation
a = 80 shares of stock A
b =120 shares of stock B
If PM = 6x + 7 and PN = 12x – 5. Find the length of PL.
Answer:
Step-by-step explanation:
6x+y=88-6. 4=2x-6. 10=2x. (X=5. 14 pm = PN =PL. 4X+7=12x-5. 7=88-5.
ONLY BOTS WITH LINKS KEEP ANSWERING MY QUESTION PLEASE SOMEONE HELP ME WITH THIS
You didn't really describe what we're supposed to do, but I'm going to assume they want you to graph it.
The first equation has a slope of 3/5x, meaning that for every 3 units it moves upwards, it moves right 5 units. It has a y-intercept of 8, meaning that the line will cross through (0, 8) on the coordinate plane. Start your point on (0, 8) and draw a line that goes up 3 units and 5 units.
The second equation has a slope of -4/5x, meaning that for every 4 units it moves upwards, it moves left 5 units OR for every 4 units it moves down it moves 5 units right. The y-intercept is 1, so the line will go through (0, 1). Start your point on (0, 1), and draw a line that follows the slope, just like last time.
If this is all correct and the best answer, please give me brainliest as I'm trying to rank up. Thanks!
ssion 4 x (20 – 1) if a = 3?
What the answer?
Answer:
20Step-by-step explanation:
Question:4 × (2a - 1)
Given value:a = 3
Solution:4 × (2a - 1)
= 4 × (2(3) - 1) [Substituting the value of a=3]
= 4 × (6 - 1) [Simplification]
= 4 × 5 [On further simplification]
= 20
Hence, 20 is the required answer.
Answer:
20
Step-by-step explanation:
a = 3
4 × (2a - 1) =
= 4 × (2 × 3 - 1)
= 4 × (6 - 1)
= 4 × 5
= 20
a rectangle is 40cm long and 30cm wide, use a scale of 1cm to represent 10cm to draw a scale diagram of the rectangle on the grid.
Hello mariamhifzur!
Given,
A rectangle is 40 cm long & 30 cm wide. So,
Length = 40 cmWidth = 30 cmNow, using a scale of 1 cm to represent 10 cm we need to draw a scale diagram of the rectangle on the grid.
At first we need to convert the measurements of the rectangle in real life to its scale measurements. In the question given, we need to convert 10 cm to 1 cm in the scale. So,
Length = 40 cm = 4 cm (in the scale figure)Width = 30 cm = 3 cm (in the scale figure)Now, suppose each grid is equal to 1 cm. Then, we can take the measurements as :
Length = 4 cm = 4 boxes/gridsWidth = 3 cm = 3 boxes/gridsLet's draw the figure now. Our rectangle looks like ... (see the attachment).
_____________
[tex]\mathfrak{Lucazz}[/tex]
please help!!
Rebecca is playing her favorite video game starlight the space Explorer on the 1st level she earned 3 energy points and 8 stars on the 2nd level she earned 2 energy points and 5 stars did Rebecca earn the same ratio of energy points to stars of both levels
yes or no?
Answer:
Hey there! The answer's 'no' :)
Step-by-step explanation:
"On the first level, she earned 3 energy points and 8 stars."
The ratio of energy points to stars is 3:8 - we can't simplify this any more, so leave it at that.
"On the second level, she earned 2 energy points and 5 stars."
The ratio here is 2:5. We also can't simplify this.
By this, we can conclude that no, 3:8 and 2:5 aren't the same ratio!
help................................................
Answer:
C. 16ft by 4ft
Step-by-step explanation:
NEED ANSWER ASAP!
Write an equation, in the form y = mx + b, that shows the linear relationship between the x and y values in the table.
Table: Below
Answer:
y = -5 + 2
Step-by-step explanation:
We can use change in y over change in x to find slope:
[tex]\frac{y2-y1}{x2-x1} =\frac{-8--3}{2-1} =\frac{-8+3}{1} =-5[/tex]
So, our slope (aka m) is -5.
For our b, or the y-intercept, we will need to find what value y is when x is 0. To do this, we will plug in a point for what we have so far, and then solve for b
y = -5x + b
-8 = -5(2) + b
-8 = -10 + b
2 = b
And there is our equation,
y = -5 + 2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
a boat is 180 in Long in private plane is 85% longer than the boat how long is the plane
Answer:
The length of the plane is 333 in.
Step-by-step explanation:
Plane length = (1.85)(Boat length)
The 0.85 in (1.85) above represents the added length; the (1.85) represents the length of the boat PLUS 0.85 time the length of the boat.
Plane length is (1.85)(Boat length) = 1.85(180 in) = 333 in
The length of the plane is 333 in.
in a class there are 48 students the number of the girls is 3 times how many boys and girls are in class
Answer:
There are 12 boys and 36 girls.
Step-by-step explanation:
This equation should help explain it.
x + 3x = 48
Let's say that there are an x number of boys. Then there would be 3 times x of girls. So x (the boys) plus 3x (the girls) equal 48 (the total amount of students).
To solve this equation, first add x and 3x to get 4x. Then divide that by 48, and we get x = 2.
The amount of boys = x, so there are 12 boys.
The amount of girls = 3x, so there are 3 times 12, or 36 girls.
H=
And the equation
Answer:
equation: 10.00+2.50h=7.00+4.00h
10+2.5h-4h=7
10-1.5h=7
-1.5h=7-10
1.5h/1.5=-3/1.5
h=2
Consider the following shape drawn on a centimetre grid. I 1.1) Determine the perimeter of this shape.
Answer:
its 19 ur welcome byeeee
Step-by-step explanation:
fill in the blank to make the fractions equivalent. 5/6 ?/12
Answer: 5/6 = 10/12
Step-by-step explanation:
factorise
3a^2+8a+4
someone help
Answer:
(3a+2) (a+2)
Step-by-step explanation:
3a²+8a+4
ur sum is 8
ur product is 12
6x2 = 12
6+2=8
3a²+6a+2a+4
3a(a+2)+2(a+2)
(3a+2) (a+2)
equivalent to -36 - 8
Answer:
-44
Step-by-step explanation:
Answer: -44
Step-by-step explanation: same as 36 + 8 and make the answer negative.
The angles in a triangle are in the ratio 3:2:1.
a) Show that the triangle is a right-angled triangle
b) The hypotenuse of the triangle is 25 cm long.
Calculate the length of the shortest side in the triangle
Answer:
see explanation
Step-by-step explanation:
(a)
sum the parts of the ratio, 3 + 2 + 1 = 6 parts
The sum of the 3 angles in a triangle = 180° , then
180° ÷ 6 = 30° ← value of 1 part of the ratio , then
3 parts = 3 × 30° = 90°
2 parts = 2 × 30° = 60°
1 part = 30°
The angles in the triangle are 90°, 60°, 30°
Thus the triangle is right angled
(b)
The shortest side is opposite the smallest angle, that is opposite 30°
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex]
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{opposite}{25}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2 × opposite = 25 ( divide both sides by 2 )
opposite = 12.5
That is shortest side is 12.5 cm
Jeriel decides to research the relationship between the length in inches and the weight of a certain species of catfish. He measures the length and weight of a number of specimens he catches, then throws back into the water. After plotting all his data, he draws a line of best fit. Based on the line of best fit, how much would you predict a catfish with a length of 33 inches would weigh?
A catfish with a length of 33 inches would weigh 30 pounds.
Linear equationA linear equation is in the form of:
y = mx + b
where y,x are variables, m is the rate of change and b is the y intercept.
Let y represent the catfish weight with x inches length
From the line of best, it passes through (20, 4) and (23, 10), hence:
y - 4 = [(10 - 4)/(23 - 20)](x - 20)
y = 2x - 36
For a length of 33 inches:
y = 2(33) - 36 = 30 pounds
A catfish with a length of 33 inches would weigh 30 pounds.
Find out more on Linear equation at: https://brainly.com/question/14323743