Answers
Answer:
Step-by-step explanation:
Mark the two points (-1,7) and (1,-1) on the graph. Then draw a straight line between them. To determine the equation that goes through these two points, we can use the two given points to find the slope of the line. The standard form of a straight line equation is
y = mx + b,
where m is the slope and y is the y-intercept (the value of y when x = 0).
Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x. We can use the two points to calculate this:
Rise (-1-(7) = -8 Run = (1 - (-1) = 2
The slope is therefore (-8/2) or -4.
y = -4x + b
We can find b by entering either of the two points in y = -4x + b and solve for b. I'll use (1,-1) since I have my 1's multiplication table memorized
y = -4x + b
-1 = -4(1) + b
b = 3
The straight line equation that connects the two points is
y = -4x + 3
You can graph this equation (e.g., on DESMOS) to see how it intersects the points. [Attached]
The coordinates of the y intercept are (0,3).
The coordinate of the y-intercept of the line is (0, 3)
Equation of a line
The equation of a line in slope-intercept form is expressed as y = mx + b.
where:
m is the slope the lineb is the y-interceptGiven the coordinate points (-1, 7) and (1, -1).
Get the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-7}{1-(-1)}\\ m=\frac{-8}{1+1}\\ m=\frac{-8}{2}\\ m=-4[/tex]
Get the y-intercept:
Recall that y = mx + b
Using the coordinate point (1, -1) and m = -4
-1 = -4(1) + b
-1 = -4 + b
b = -1 + 4
b = 3
The equation of the line is y = -4x + 3
Get the y-intercept:The y-intercept occurs at the point where x = 0
y = -4(0) + 3
y = 0 + 3
y = 3
Hence the coordinate of the y-intercept of the line is (0, 3)
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Related Questions
I’m working on 3 and 4 only maybe if I can have some explanation so I can understand and do more of these next week.
Answers
4.b.
Answer: See below.
Step-by-step explanation:
For the equation f(x) = 2x3.a. f(6) means use x = 6 in the equation f(x) = 2x
so f(6) would be f(6)= 2(6)
f(6) = 12
3.b. f(-11) = 2(-11)
f(-11) = -22
3.c. f(2.75) = 2(2.75)
f(2.75) = 5.5
3.d. This is turned around. We are told f(x)=20, so what would x need to be for f(x) to be 20? Since f(x) = 2x, we can say 20 = 2x. Therefore x = 10
f(10) = 20
The rest of (3) are solved in the same fasion.h
For the equation f(x)= 5x+50
4.a. f(7) = 5(7)+50
f(7) = 85
4.b. f(-12)
f(-12) = 5*(-12)+50
f(-12) = -60
Continue in the same fashion for these types of problems.
if "-3(y-10=9" what is the value of y-12
Answers
Answer:
the correct answer is -5 since y=7
Ava bought 2 sandwiches for a total of $5.25 , a bowl of soup for $3.00, and a bag of chips for 1.25. How much change did she get back if she paid with a $20.00 bill?
Answers
Answer:
she would get 11 dollars back
Step-by-step explanation:
look....first count all the money together 5 + 3 + 1 = 9............Then subtract 9 from 20 and there u go
Ava spent $9.50 total.
$20.00 - $9.50 = $10.50
After paying with a 20 dollar bill, she would receive $10.50 in change.
In the partial sequence …, 987, N, 2584, 4181, …, each new term is the sum of the two previous terms. Find the whole number value of N.
Answers
Answer: 2584
Step-by-step explanation:
We can find N with 2584 and 4181.
4181 - 2584
= 1597
We can also check our answer by adding 1597 and 987
1597 + 987
= 2584
A sequence can be arithmetic, geometric or neither.
The value of N is 1597
The partial sequence is given as:
.... 987, N, 2584, 4181......
From the question, the current term is the sum of two previous terms.
This means that:
[tex]\mathbf{987 + N = 2584}[/tex] and
[tex]\mathbf{N + 2584 = 4181}[/tex]
Make N the subject in both equations
[tex]\mathbf{N = 2584 - 987}[/tex]
and
[tex]\mathbf{N = 4181 - 2584 }[/tex]
So, we have:
[tex]\mathbf{N = 1597}[/tex]
and
[tex]\mathbf{N = 1597}[/tex]
Hence, the value of N is 1597
Read more about partial sequence at:
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The scale of a map is 1 cm : 17 km. Find the actual distance corresponding to the map distance.
1:
The distance on the map is 2.5 cm.
The actual distance is «m.
Answers
Answer:
I believe its 42.5 or 42500
Step-by-step explanation:
if its not right im so so so so sorry
I dont know what this is no links please
Answers
Answer:
Hamm i think si r or q mm sorry if it's wrong
Step-by-step explanation:
I think the answer would be q
Hey can some one help me on this one please
Answers
Answer:
The first and third are functions.
Step-by-step explanation:
Functions must have only one y-value for an x-value.
Write the word sentence as an equation. Then solve the equation
the difference between a number p and 6 is -14
Answers
Answer:
-8
Step-by-step explanation:
The difference between a number P and 6 is -14.
then;
[tex]p - 6 = - 14 \\ p = - 14 + 6 \\ p = - 8[/tex]
Jake sold 39 tickets to the school fair and jeanna sold 12 tickets. What is the ratio in simplest form of the number of tickets jeanna sold to the number of tickets jake sold?
Answers
Step-by-step explanation:
12 to 39 divide each by 3
4 to 13 is the simpliest ratio
Which answer correctly describes the transformation from the preimage to the
image?
a translation 10 units left and 8 units down
a reflection over the x-axis
a translation 10 units right and 8 units up
a rotation of 180°
a reflection over the y-axis
Answers
Translation of 10 units left and 8 units down
================================================
Explanation:
Always start with the preimage. Let's say we focus on point A located at (3,6). Its corresponding point is A' located at (-7,-2). To go from (3,6) to (-7,-2), we move 10 units to the left and 8 units down.
The motion "10 units to the left" means we subtract 10 from the x coordinate. The "8 units down" part means we subtract 8 from the y coordinate.
Overall, the translation rule is [tex](x,y) \to (x-10,y-8)[/tex]
If we applied that rule to A(3,6), then...
[tex](x,y) \to (x-10,y-8)\\\\(3,6) \to (3-10,6-8)\\\\(3,6) \to (-7,-2)\\\\[/tex]
which is what the diagram shows going from A to A'
Let's do the same for point B(3,1)
[tex](x,y) \to (x-10,y-8)\\\\(3,1) \to (3-10,1-8)\\\\(3,1) \to (-7,-7)\\\\[/tex]
This indicates B(3,1) moves to B ' (-7,-7) which is what the diagram shows. I'll let you confirm that C(6,6) moves to C ' (-4,-2) using that translation rule.
Given h(x) = -5x - 5, solve for x when h(x) =0
Answers
h(x)= -5(0)-5
h(x)= -5
What is the product in simplest form −6/11⋅3/4
Answers
The perimeter of a square is 48 cm. What is the length of each side of the square?
Answers
Answer:
12 cm
Step-by-step explanation:
48/4 is 12 since there is 4 sides and all of them are equal.
Answer:
the answer is 192
Step-by-step explanation:
48 + 48 +48 +48 since a square is 4 sided and you add it all together which gets you 192.
NEED HELP WITH 13 a-b!!!! PLEASE HELP!!!!!!!
Answers
Answer:
a - 6%
b - $7.50
Step-by-step explanation:
The answer for a
the only items that had sales tax were $3.00 and $0.50. The total tax for the both was $0.21 so you can find what percent 0.21 is of 3.00 + 0.50 o 3.50. Do this by dividing the percent you are looking for, 0.21, by what it is the percent of 3.50. 0.21 / 3.50 = 0.06. then you multiply the number you got, in this case 0.06 by 100 to find the percentage so it is 6%
The answer for b
Here you can just take the subtotal, $13.00, and subtract all the other prices and you will be left with the price of the top. 13.00 - 3.00 - 2.00 - 0.50 = 7.50. So the answer is $7.50
3^x X 9^4 = 3^n
Find n in terms of x
Answers
Answer:
n = x + 8
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Then
[tex]3^{x}[/tex] × [tex]9^{4}[/tex] = [tex]3^{n}[/tex]
[tex]3^{x}[/tex] ×[tex](3^2)^{4}[/tex] = [tex]3^{n}[/tex]
[tex]3^{x}[/tex] × [tex]3^{8}[/tex] = [tex]3^{n}[/tex]
[tex]3^{x+8}[/tex] = [tex]3^{n}[/tex]
Since bases on both sides are equal, both 3, then equate exponents
n = x + 8
What is the solution to this system of equations?
x − 2y = 15
2x + 4y = -18
A. x = 1, y = -6
B. x = 1, y = -7
C. x = 3, y = -6
D. x = 3, y = -7
Answers
Answer:
C. x = 3, y = -6
Step-by-step explanation:
You can divide the second equation by 2. Then you have ...
x +2y = -9
This gives you a couple of choices for solution. The x-coefficients match, so subtracting one equation from the other eliminates x:
(x +2y) -(x -2y) = (-9) -(15)
4y = -24 ⇒ y = -6
Adding the two equations eliminates y:
(x -2y) +(x +2y) = (15) +(-9)
2x = 6 ⇒ x = 3
The solution is (x, y) = (3, -6).
_____
Additional comment
I find it quick and easy to use a graphing calculator to find the solution. Many graphing calculators also make it simple to solve systems of equations in matrix form. Either way, you can obtain a solution in little more than the time it takes to enter the equations (or their coefficients).
Solve for the value of K
Answers
Answer:
k = 5
Step-by-step explanation:
The straight angle is 180º
The right angle is 90º
Therefor
(8k + 1) + 90 + 49 = 180
combine like terms
8k + 140 = 180
Subtract 140 from both sides
8k = 40
Divide both sides by 8
k = 5
Answer:
16.25
Step-by-step explanation:
Levi measured the auditorium and made a scale drawing. He used the scale 23 inches : 8 feet. If the actual width of the stage is 16 feet, how wide is the stage in the drawing?
Answers
Answer:
the drawing would be 46 inches
how to do this? help me please:)
Answers
Answer:
hope it helps.
stay safe healthy and happy.
i’m physically begging for someone to help i do not understand
Answers
Answer:
Step-by-step explanation:
Can somebody show me how to do this with answers? I don’t understand how my teacher shows me
Answers
If you mean adding text above the underscore press the text button on the left and it will allow you to click above the underscore and add text as an answer to said problem.
Melissa can buy an 8 pound bag of dog food for $7.20. Which bag has an equivalent cost?
Answers
Factories often add filler when making meatballs sold by the bag. One factory obtained 72 kg of beef from overseas. They want to add 1.2 oz of filler for each
pound of beef, How many ounces of filler will the factory need in order to make meatbälls out of this shipment of beef? Help
Answers
Answer:
158.732829
rounded up: 159
Step-by-step explanation:
trust the calculator
the radius of the circle increase at a rate of 4 cm ,min how fast is the area of pool increasing when the radius is 5 cm
Answers
Answer:
40π cm2/ min.
Step-by-step explanation:
First, we should begin with an equation we know relating the area of a circle, the pool, and its radius: A=πr2.
Help please! I don’t understand
Answers
Answer:
one real solutions
Step-by-step explanation:
What is the quotient of 36 and -3
(WILL MAKE BRAINLIEST )
Answers
-10+2= (operation of integers)
Answers
Answer:
-8
Step-by-step explanation:
Hi there! :)
-10+2=-8
Hope this helps!
~Just a determined gal
#CarryOnLearning
Please mark brainliest; I would really appreciate that! :)
[tex]MysteriousNature :)[/tex]
NEED HELP NOW! SOLVE THE INEQUALITY: -r/3 ≤ 6
The r/3 is not division.. its a fraction. thx
Also.. once one person has answered... please don't answer more... i don't want ore than 10 points taken away. thank you so much
Answers
Answer:
[tex]r\geq -18[/tex]
Step-by-step explanation:
[tex]\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}[/tex]
Hope this helps!
What is the value of f(x), if x is -8?
Answers
Answer:
-8f
Step-by-step explanation:
you will substitute in the numbers and multiply
Because f is a variable you write the -8 and attach the f to it
The value of function for given x value is -1.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is f(x)=-(x+8)²-1.
Substitute x=-8 in the given function, we get
f(-8)=-(-8+8)²-1
= -0-1
= -1
Therefore, the value of function for given x value is -1.
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"Your question is incomplete, probably the complete question/missing part is:"
What is the value of f(x)=-(x+8)²-1, if x is -8?
Evaluate a+b+cd if a=7/8 , b=−7/16 , c=0.8 , and d=1/4 . Write your answer as a fraction in simplest form.
Answers
After solving the given expression, the value obtained from it in form of simplest fraction is equal to 5.1/8.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given data in the question,
a = 7/8
b = -7/16
c = 0.8 and
d = 1/4
And the equation is a+b+cd
7/8 + (-7/16) + (0.8)(1/4)
7/16 + 0.2
= 10.2/16
In simplest form, it is written as 5.1/8.
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