Slope is the change in y over the change in x.
Slope = (-1 - -2) / (4 - -5)
Slope = 1/9
Sofia planted a maple tree sapling that was 5.5 inches tall. The tree grew 10 inches each year. Write an equation that shows how the sapling's height in inches, y, depends on the number of years since it was planted, X. Y =
Answer:
y= (10*x)+5.5
Step-by-step explanation:
B)
Answer:
y = 10x + 5.5
Step-by-step explanation:
We can write our equation in slope-intercept form, which looks like y = mx + b. "m" is our growth rate, and "b" is our y-intercept, or starting value.
So, let's fill in "m" first. What is our growth rate? Well, 10 inches per year. So, we can replace "m" with 10: y = 10x + b. But we have to figure out which number to replace "b" with. In this scenario, Sofia planted the maple tree when it was already 5.5 inches tall. So, when it grows 10 inches per year, the inches are being added to that original value. 5.5 is our starting value: y = 10x + 5.5. And that's our final equation.
Hopefully that's helpful! :)
Six apples and three oranges cost $3.36. Two apples and five oranges cost $3.04. Find the cost of one apple and the cost of an orange.
Answer and step-by-step explanation pls!!
Answer:
$0.8
Step-by-step explanation:
let x represent the price of apples
let y represent the price of oranges
6x+3y=3.36—eqn 1
2x+5y=3.04—eqn 2
Multiply eqn 2 by 3
3(2x+5y=3.04)=6x+15y=9.12
Subtract eqn 2 from 1
6x+3y=3.36
-{6x+15y=9.12}
-12y=-5.76
y=0.48
plug y=0.48 into eqn 1
6x+3(0.48)=3.36
6x=3.36-1.44
x=1.92/6=0.32
That is, an apple costs $0.32 and an orange costs $0.48
Therefore the cost of an orange and an apple=$0.48+$0.32=$0.8
Answer:
apple: $0.32orange: $0.48Step-by-step explanation:
Let x and y represent the costs of 1 apple and 1 orange, respectively. The two cost figures tell us ...
6x +3y = 3.36
2x +5y = 3.04
We note that all of the numbers in the first equation are divisible by 3, so we can divide by 3 to reduce it to ...
2x +y = 1.12
Subtracting this from the second equation gives ...
(2x +5y) -(2x +y) = (3.04) -(1.12)
4y = 1.92 . . . . . . . simplify
y = 0.48 . . . . . . . divide by 4
Then the cost of an apple can be found from our reduced equation:
2x +0.48 = 1.12 . . . substitute for y
2x = 0.64 . . . . . . . . subtract 0.48
x = 0.32 . . . . . . . . . divide by 2
The cost of one apple is $0.32; the cost of one orange is $0.48.
_____
Additional comment
The method of solution we used here is called "elimination," because the x-variable was eliminated from the combined equations. There are numerous other methods available for solving a system of linear equations. Most graphing calculators have features for graphing and for reducing matrices that will solve these for you. All you need to do is enter the equations.
During vacation, Dave and his brother, Scott,rode their bikes form their family's rental house to a pond to go fishing. Although they left the rental house together, Dave arrived at the pond a few minutes before Scott. This weekend, they plan to ride a nearby mountain trial and turn back after an hour if they can't complete it. Who will likely ride farther along the mountain trial?
Answer:
Im soooooo hungry ughhh
Step-by-step explanation:
Hi
solving linear systems graphically .
Answer:
D- points on one side of one of the lines
Step-by-step explanation:
I may be wrong but I believe I am correct
The paragraph below comes from the rental agreement Susan signed when she opened her account at Super Video.
“All rentals are due back by midnight of the due date as printed on the transaction receipt. Any rental not received by midnight on the day it is due is subject to a late charge of $1.50 for each day it is late. Any rental not returned by the fifth day after the due date will be transferred to a sale. The Customer will then be required to pay the purchase price of the item in addition to five (5) days of late fees. The Customer will not be required to return the product once the total balance is paid.”
Both of Susan’s movies are three days late. According to her receipt, the purchase price of one of her movies is $12.00 while the purchase price for the other movie is $15.00. If she turns both of them in today, how much will Susan owe Super Video?
A) $4.50
B) $9.00
C) $27.00
D)$38.00
Answer:
$9
Step-by-step explanation:
(2 movies returned late)
3 days late
$1.50 per day late fee
equaling $4.50 per movie
TOTALING $9
TOTALING $9.00
Answer:
B) $9.00Step-by-step explanation:
Since its less than 5 days, Susan will have to pay only late charge fee for two movies for 3 days.
The amount to be paid:
3*2*$1.5 = $9Correct choice is B
f(x)=x^4−4x^3−22x^2+4x+21
Select each correct answer.
−3
−1
0
1
3
7
Answer:
-1
1
7
-3
Step-by-step explanation:
Is -3/4 greater than -0.25
Answer: No
Step-by-step explanation:
you should know that 3/4 is the same as 0.75. -0.75 is smaller than -0.25 because when dealing with negative numbers, what would be the “smaller” number in positive negative integers is actually the larger number as it is closer to 0.
Answer:
-0.25 is greater than -0.75
Step-by-step explanation:
usually if they were positive 0.75 would be bigger but since there negative decimals, -0.25 is greater. By the way, -0.75 is -3/4.
Here is the problem: (Picture)
Answer:
c
Step-by-step explanation:
Anna has £10 savings, Ben has £3.
Each week, Anna saves £2.50 and Ben saves £3.
How many weeks will it take for Anna and Ben's
savings to be in the ratio 5:4?
Answer:
6
weeks
Step-by-step explanation:
Two trains, Train A and Train B, weigh a total of 557 tons. Train A is heavier than Train B. The difference of their weights is 371 tons. What is the weight of each train?
Answer:
A=464
B=93
Step-by-step explanation:
A+B=557
A-B=371
Solving the two equations simultaneously gives A=464 and B=93
Answer and explain every step of your solution.
Answer:
min: (-2;-6) & (1; 3/4); max: (0;2).
Step-by-step explanation:
1) f`(x)=3x³+3x²-6x;
2) f`(x)=0, ⇒ 3x³+3x²-6x=0;
3) 3x³+3x²-6x=0; ⇒ x(x²+x-2)=0; ⇒ x(x-1)(x+2)=0; ⇒ x₁=0; x₂=1; x₃=-2;
other steps are provided in the attachment.
Select the correct expression. Which expression is equivalent to 5^4 · (5^-2)^3 ?
5-^3
5^2
5^-2
5^-1
we have 5^4 . (5^-2)^3 = 5^4 . 5^-6 = 5^ (4-6) = 5^-2
ok done. Thank to me :>
Plz help .!$&&&&&&&&&
The thing dosnet show
Which theorem does it offer proof of?
Answer:
vertical angles are =
Step-by-step explanation:
please someone help me answer this question. file is attached.
Answer:
ok so im pretty sure it is 6 pans with 2 cups left over
Step-by-step explanation:
so 2 1/2 times 6 is 15 since we cant get it exactly, so you use 6 which is 15 and you figure out what was leftover which is 2
Plzzzz help meeeee plzzzz helppmmmmeee
SOMEONE PLS HELP ME!!!
Answer:
refer to the picture attached for steps
Check the given measurements whether it could make a triangle
(a) 7 cm, 2 cm and 5 cm
(b) 10 cm, 12 cm and 14 cm.
I don't know sorry.
Sorry!
I’ll mark the brainiest
Answer: 122°
Step-by-step explanation:
Because angles on a straight line are supplementary (add up to 180°), then:
m∠2 = 180° - 58°
= 122°
if [tex]a_{1}[/tex]=4 and [tex]a_{n}[/tex]= [tex]5a_{n-1}[/tex]-1 then find the value of [tex]a_{3}[/tex]
========================================================
Explanation:
The first term is 4 because of the notation [tex]a_1 = 4[/tex]
To get the second term, we'll use the recursive equation [tex]a_n = 5(a_{n-1})-1[/tex] which basically says [tex]\text{nth term} = 5*(\text{previous term})-1[/tex]. To get the second term, we'll multiply the first term by 5, then subtract off 1.
2nd term = 5*(1st term) - 1
2nd term = 5*4 - 1
2nd term = 19
This means [tex]a_2 = 19[/tex]
We repeat this process again to find the third term [tex]a_3[/tex]
[tex]a_n = 5*(a_{n-1})-1\\\\a_3 = 5*(a_{3-1})-1\\\\a_3 = 5*(a_{2})-1\\\\a_3 = 5*(19)-1\\\\a_3 = 95-1\\\\a_3 = \boldsymbol{94}\\\\[/tex]
The third term is 94
Math Essay Solve for g. make sure to show your work
(16 divided 4)(3x7)=g
Answer:
84 = g
Step-by-step explanation:
(16 ÷ 4)(3 × 7) = g Divide
4(3 × 7) = g Multiply
4 × 21 = g Multiply
84 = g Simply
Harmony used discarded paper to make notepads for her friends she folded 5 letter size pieces of paper 3 times then cut along the lines then she would stack the smaller note papers and staple them together how long one notepad last if someone wrote 10 notes per day
Answer:
Answer is 5
Step-by-step explanation:
I don't what the problem is ;-; not sure
5x3-x=10
Please explain step-by-step! Thanks!
Random answers will be reported
Step-by-step explanation:
what is your questions?????what is the value of |-3.25| and what is the value of |4.25|
Answer:
3.25 and 4.25
Step-by-step explanation:
absolute value just makes the numbers positive
Write 27% as a fraction.
Answer:
27/100
Step-by-step explanation:
27%= 0.27= 27/100 which cannot be reduced
Answer:
27/100
Step-by-step explanation:
27% = 27/100
Select the correct answer. The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0. 5, what is the perimeter of the resulting triangle? A. 30 units B. 20 units C. 15 units D. 7. 5 units.
Answer:
.
Step-by-step explanation:
Sally collected 30.4 pounds of cans to recycle and plans to collect 2.1 more pounds each week. In this situation, what is the value of the y-intercept?
The y-intercept is the intital value where the equation begins.
Because Sally initially started at 30.4 pounds, the y-intercept is 30.4.
The graph of f(x)=16^x is reflected about the x-axis and shifted upward 8 units. What is the equation of the new function, g(x) ?
Answer:
g(x) = -16^x + 8
Step-by-step explanation:
This reflection is accomplished by putting a negative sign in front of 16^x, and the upward translation by adding 8:
f(x)=16^x becomes g(x) = -16^x + 8
Graph the function f(x)=1/2x+1
Answer:
See attached graph.
Step-by-step explanation:
Where are the factors? The number of terms? Where are the constants? Where are the confficients
3x-5y+15
Answer:
given the expression 4x - 2y + z + 5 we see three terms of the expression: 4x, -2y, +z , 5.
Terms are made of two things, a coefficient and a variable.
coefficient variable
4 x
-2 y
+1 z
+5 no variable exists in this term so it is a special term called a constant.
Coefficients can be +/-, fractions, decimals, whole numbers, etc.
In equations the coefficient is often shown as a letter such as
ax + by + 3.
This means (a times x) plus (b times y) plus 3
fractional coefficients looks like this example: x/4 + y/2 - z/3
the coefficient for x is 1/4, the coefficient for y is 1/2 and the coefficient for z is -1/3Step-by-step explanation: