What is the slope of the line y=-3X+7
Answers
Answer: -3x
Step-by-step explanation:
Answer:
-3.000
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(-3*x+7)=0
STEP1:
Equation of a Straight Line
1.1 Solve y+3x-7 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on the Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y-axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y+3x-7 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000
y-intercept = 7/1 = 7.00000
Calculate the X-Intercept :
When y = 0 the value of x is 7/3 Our line therefore "cuts" the x-axis at x= 2.33333
x-intercept = 7/3 = 2.33333
Calculate the Slope :
The slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 7.000 = -6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -6.000/2.000 = -3.000
Geometric figure: Straight Line
Slope = -6.000/2.000 = -3.000
x-intercept = 7/3 = 2.33333
y-intercept = 7/1 = 7.00000
Hope this helps!
Brain-List?
Related Questions
HELPPPP PLZZZZZZZZZZ ITS TIMEDDDDDD Identify the constant and the coefficient in the term below and tell me the difference between the two:
how do i find the constant????????
Answers
Which expression shows a way to find 20% of 950? Please help, I will rate all stars and a thanks if I can. (On i-Ready)
Answers
Answer:
1/5 . 950
This is cause 20% =20/100 and when reduced it is 1/5
Alyssa collects coins. ¾ of her coins are quarters, ⅔ of the remaining coins are dimes. The rest were nickels. There were 12 nickels. How many coins were in Alyssa’s collection?
Answers
Answer:
144 coins counting the nickels 132 not counting the nickels
Step-by-step explanation:
Choose the four factor pairs of 42.
A. 1 and 42
B. 2 and 21
C. 3 and 14
D. 4 and 12
E. 5 and 8
F. 6 and 7
Answers
Answer:
the factors of 42 in pairs are (1, 42), (2, 21), (3, 14) and (6, 7).
Step-by-step explanation:
May I get brainelist?
Heather is building a ladder for her tree house. She will need 13 feet of lumber for each stilt and 2 feet of lumber for each rung on the ladder. How many feet of lumber does she need for a ladder with 2 stilts and 12 rungs?
29 feet because 2 + 13 + 12 + 2 = 29
50 feet because 2 (13) + 12 (2) = 50
160 feet because 13 (12) + 2 (2) = 160
210 feet because (2 + 13) (12 + 2) = 210
Answers
Answer:
B. 50
Step-by-step explanation:
For two stilts, you'd multiply 13 by two.
2(13) = 26
For twelve rungs you multiply 2 by 12.
12(2) = 24
Then you add the two numbers together to see how much would she needs.
24 + 26 = 50
This gives you the answer, which is equivalent to B.
Answer:
B. 50
Step-by-step explanation:
For two stilts, you'd multiply 13 by two.
2(13) = 26
For twelve rungs you multiply 2 by 12.
12(2) = 24
Then you add the two numbers together to see how much would she needs.
24 + 26 = 50
This gives you the answer, which is equivalent to B.
In the diagram, A ABC and A CDA are congruent. A B 44 7 5 4 4 What is the length of AD? O A. 3 units B. 4 units oc. C. 5 units OD. 6 units E, T units
Answers
Answer:
5 units
Step-by-step explanation:
if they are congruent that means that the corresponding sides have the same lenghts. in this case ad's corresponding side is bc, which is 5 units and so is ad respectively
pls help! :( if you get it right I’ll give brainliest!!
Answers
Answer:
2.3 A
Step-by-step explanation:
Its 2.3 what am I supposed to say
this one is really hard
Answers
Answer:
W=P-2L / 2
Step-by-step explanation:
P=2(L+W)
P=2L+2W
-2L -2L
P-2L=2W
W=P-2L / 2
Triangle DEF is a right triangle. The length of the legs are 7 cm and 10 cm, how long is the hypotenuse? Round to the nearest tenth if possible.
Answers
Answer:
12.2
Step-by-step explanation:
7^2 + 10^2 = C^2
49 + 100 = C^2
149 = C^2
√149 = 12.2
C= 12.2
What is the slope of the line
Answers
Answer:
B.
Step-by-step explanation: Because when you count them down to 3/5 It's more in the negative.
Remember Rise over Run, Rise/Run
In this case it rises -3 and runs 5 :)
Evaluate 10-3m when m=-5
Answers
What is the slope in this equation: y=0.5x + 3 *
Answers
is y=5/6 - 6 and x+5y-4 parallel
Answers
Matteo is following this recipe to make a cake.
He wants to make four of these cakes.
How much of each ingredient does he need?
Recipe: Makes 1 cake
3 ounces butter
4 ounces sugar
5 ounces of flour
2 eggs
1 teaspoon (tsp) baking powder
Answers
Answer:
12 ounces butter
16 ounces sugar
20 ounces flour
8 eggs
4 teaspoons baking powder
Step-by-step explanation:
just times everything individually by 4
Zaire, Manny, Richard, Navid and Gregory found a rope that was 271.5 feet long. If they cut the rope into equal pieces, what was the length of each piece of rope?
helppppppppppppppppp
Answers
Answer:
43.5
Step-by-step explanation:
217.5/5
43.5
a² - b² + c when a=3, b=4, and c=5
Answers
Answer: -2
Step-by-step explanation:
Plug in: 3^2-4^2+5=9-16+5=-2
Answer:
-2
Step-by-step explanation:
a=3
b=4
c=5
so your awnser if you use desmos calculator woukd be -2
The following number is in expanded form:
1, 000, 000 + 60, 000 + 4, 000 + 500 + 2
What is this number in standard form ?
A) 1, 604, 502
B) 1, 645, 200
C) 164, 502
D) 1, 064, 502
Answers
Answer:
D
Step-by-step explanation:
D is the correct answer
Answer:
1,064,502 :)))
A closed-top cylindrical container is to have a volume of 250 in2. 250 , in squared , . What dimensions (radius and height) will minimize the surface area?
Answers
Answer:
radius r = 3.414 in
height h = 6.8275 in
Step-by-step explanation:
From the information given:
The volume V of a closed cylindrical container with its surface area can be expressed as follows:
[tex]V = \pi r^2 h[/tex]
[tex]S = 2 \pi rh + 2 \pi r^2[/tex]
Given that Volume V = 250 in²
Then;
[tex]\pi r^2h = 250 \\ \\ h = \dfrac{250}{\pi r^2}[/tex]
We also know that the cylinder contains top and bottom circle and the area is equal to πr²,
Hence, if we incorporate these areas in the total area of the cylinder.
Then;
[tex]S = 2\pi r h + 2 \pi r ^2[/tex]
[tex]S = 2\pi r (\dfrac{250}{\pi r^2}) + 2 \pi r ^2[/tex]
[tex]S = \dfrac{500}{r} + 2 \pi r ^2[/tex]
To find the minimum by determining the radius at which the surface by using the first-order derivative.
[tex]S' = 0[/tex]
[tex]- \dfrac{500}{r^2} + 4 \pi r = 0[/tex]
[tex]r^3 = \dfrac{500 }{4 \pi}[/tex]
[tex]r^3 = 39.789[/tex]
[tex]r =\sqrt[3]{39.789}[/tex]
r = 3.414 in
Using the second-order derivative of S to determine the area is maximum or minimum at the radius, we have:
[tex]S'' = - \dfrac{500(-2)}{r^3}+ 4 \pi[/tex]
[tex]S'' = \dfrac{1000}{r^3}+ 4 \pi[/tex]
Thus, the minimum surface area will be used because the second-derivative shows that the area function is higher than zero.
Thus, from [tex]h = \dfrac{250}{\pi r^2}[/tex]
[tex]h = \dfrac{250}{\pi (3.414) ^2}[/tex]
h = 6.8275 in
please help solve this I have been raking my brain for hours
Answers
Answer:
y = 51.3°
Step-by-step explanation:
tan y = 10 / 8
tan^-1 = 51.3
A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.6 cents. For each day the first 10 kWh cost 4.59 cents per kWh and any additional kWhs are 9.71 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.)
Complete the following table using the information provided above.
KWh 0 5 10 15 20
cost(dolllar)
KWh 25 30 35 40
cost(dolllar)
Answers
Answer:
Table of charges:
KWh 0 5 10 15 20
Basic charge (cents) 11.60 11.60 11.60 11.60 11.60
Charge for first 10 kWh (4.59cents) 0 22.95 45.90 45.90 45.90
Additional usage above 10 kWh 0 0 0 48.55 97.10
(9.71 cents)
Total (cents) 11.60 34.55 57.50 106.05 154.60
cost (dollar) 0.12 0.35 0.58 1.06 1.55
KWh 25 30 35 40
Basic charge (cents) 11.60 11.60 11.60 11.60
Charge for first 10 kWh (4.59cents) 45.90 45.90 45.90 45.90
Additional usage above 10 kWh 145.65 194.20 242.75 291.30
(9.71 cents)
Total (cents) 203.15 251.70 300.25 348.80
cost (dollar) 2.03 2.52 3.00 3.49
Step-by-step explanation:
a) Data:
Basic charge = 11.6 cents (0.116)
Charge for the first 10 kWh = 4.59 cents (0.0459)
Charge for additional usage above 10 kWh = 9.71 cents (0.0971)
b) Each kWh consumed or not attracts the basic charge of 11.6 cents. The first 10 kWh consumed is billed at 4.59 cents, while the additional kWh consumed is charged at 9.71 cents. The charge per consumption is first totaled in cents before being converted to dollars by dividing by 100.
PLZ HELP ANSWER!!!!!
Answers
Answer:
Step-by-step explanation:
so, i might be wrong but i hope this helps.
The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.
is my awnser is 73.97$ what's the 6.25% tax I have to convert 6.25 to a decimal CASLAN
Answers
Answer:
Not sure I understand your question.
If the tax rate is 6.25% and you need the tax from $73.97, tax is:
= 6.25% * 73.97
= $4.62
Converting 6.25% to decimal.
First understand that when a percent sign(%) is next to a number it means that the number is a fraction and its denominator is 100.
6.25% = 6.25/100
To convert to decimal, divide the numerator by the denominator:
= 6.25 ÷ 100
= 0.0625
The cost of an Internet service subscription varies directly with the length of the subscription. A 3 month subscription costs $32.85. How much does a 12 month subscription cost?
Answers
Answer:
the answer is 131.4
Step-by-step explanation:
32.85/3= 10.95
10.95×12= 131.4
3 – (-4 + 6) anyone know the answer to this?
Answers
Answer:
Itll be one.
Step-by-step explanation:
PEMDAS; Perenteces Exponents Multiplication Divide Addition Subtraction.
Find the total price of a $20 item that has been marked up 40%.
Answers
Answer:
$28
Step-by-step explanation:
20 * 1.4 = 28
Hence, the answer is $28.
Please mark as Brainliest!!!Answer: 8
Step-by-step explanation: Given: the price is 20 dollars and if we mark it up the revenue is 28
HELP! whoever gets it right gets brainliest!!
Answers
Answer:
2
Step-by-step explanation:
HELPPPP PLEASEEEE You buy dinner for the family at McDonald's. The meal totals $21.45, and
you pay the cashier $25.50, how much change will you get back? *
Answers
Answer:
$4.05
Step-by-step explanation:
For this problem, all you need to do is subtract $21.45 from $25.50.
Answer:
4.05
Step-by-step explanation:
cause i know i know already
This will be so helpful right now thank
Answers
Answer:
55 ft.
Step-by-step explanation:
First find the area of Lot X
67 • 70 = 4,690
Subtract the are of Lot X from the total area
8,375 - 4,690 = 3,685
3,685 is the area of Lot Y
Now divide 3,685 by the length of Lot Y : 67
3,685 ÷ 67 = 55
The width of Lot Y is 55 ft.
Hope this helps!
What is the area of the rhombus shown below?
E
F
EG = 20
FD = 15
D
G
A. 220 sq. units
B. 400 sq.
units
C. 150 sq, units
D. 300 sq. units
Answers
Which expression has the same value as the sum of 45 and 25?
14+10
5(9+5)
9(5+5)
5(8) +5(5)
Answers
when you open the parentheses you get 45+25