Answer:
f(x) = (-3/4)x^2 + 3
Step-by-step explanation:
First, look at the vertex to see if it intersects the y-axis. It does, which is good, because it makes your job a lot easier by making your equation to fill out y = ax + b. Your b is the y value of your vertex, which in this case is 3. Then, your a is the amount you're multiplying plain old x^2 by to get your values (before adding 3). Because the graph is pointing down, you know right away that it's going to be negative. Also, going to the left or right by 2 (the points you are given) from the vertex gives you a result of going down 3. Normally this would mean you move up by 4 (again, from the vertex), so what do you need to multiply 4 by to get -3? -3/4, so that's your a. This makes your equation (y OR) f(x) = (-3/4)x^2 + 3
I hope I didn't make any mistakes reading your graph! I had a bit of difficulty with it unfortunately.
write a linear function f with the given values.
f(0) = 2. f(2) = 4
Answer:
I Think this will be the answer, We need to write the equation of a line with the given values of $f(0)=2$ and $f(2)=4$. To write the equation of the line, we can use the slope-intercept ...
Step-by-step explanation:
give brainiest
"You are the math teacher for the day. Your students need help understanding slop intercept form. Write a detailed explanation in complete sentences and use the academic vocabulary to explain slope intercept."
Answer:
The slope intercept form is the equation of a straight line that is written as y=mx + b, where m is the slope times the x and b is the point where the line crosses the vertical line y-axis.
Step-by-step explanation:
Help me please please
Answer:
0×3-2=-2
2×3-2=4
3×3-2=7
5×3-×=13
then a=7
what is the answer to
-6k–10=10–10k
Answer:
k=5
Step-by-step explanation:
-6k-10=10-10k
-6k-10=-10k+10
-6k-10=-10k+10
-6k-10+10=-10k+10+10
-6k=-10k+20
-6k=-10k+20
-6k+10k=-10k+20+10k
4k=20 4k/4 = 20/4
k=20/4
k=5
Step-by-step explanation:
Rearrange your terms
-6k - 10 = 10 - 10k - Before
-6k - 10 = -10k + 10 - after rearrange
Then add 10 to both sides-6k - 10 = -10k + 10 - before adding 10
-6k - 10 + 10 = -10k + 10 + 10 - After adding 10
Simplify- add the numbers-6k - 10 + 10 = -10k + 10 + 10
-6k = -10k + 10 + 10
-6k = -10k + 10 + 10
-6k = -10k + 20
-6k = -10k + 20
Add 10k to both sides again-6k = -10k + 20
-6k + 10k = -10k + 20 + 10
Simplify again- combine like terms-6k + 10l = -10k + 20 + 10k
4k = -10k + 20 + 10k
4k = -10k + 10 + 10k
4k = 20
Divide both sides by K4k = 20 = K = 5
4 4
Hope this helped (*^▽^*)
HELP!!!
What are the coordinates of the point on the directed line segment from (−1,1) to (8,10) that partitions the segment into a ratio of 2 to 1?
i need help please, i will give brainest
Answer:
what so you need help with?
Step-by-step explanation:
I cant promise I will be much help but I can try
Point K is located at (7, 4) in the coordinate plane. Its image is created by the following rule: K' = Ro270°(K).
Which transformation of point K would produce the same result for K as seen in the previous question?
P.S. Pervious question
Point K is located at (7,4) in the coordinate plane. Its image is created by the following rule:
K'=Ro 270°^(k)
What are the coordinates of k'?
A. (4,-7)
B. (4, 7) This is the correct answer.
C. (7, -4)
D. (-7, 4)
After the transformation of 270° clockwise rotation we get K(7, 4)→K'(-4, 7). Therefore, option B is the correct answer.
The given coordinate point is (7, 4).
What is the transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Rotation of object 270° clockwise direction
The rule of rotating a figure 270 degrees clockwise is (x, y)→(-y, x)
So, K(7, 4) rotated by 270° clockwise we get K'(-4, 7).
After the transformation of 270° clockwise rotation we get K(7, 4)→K'(-4, 7). Therefore, option B is the correct answer.
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Please help. Thank you in advance
Answer:
A=8in^2
Step-by-step explanation:
Lw/2=area for triangle
Help me with this please
Step-by-step explanation:
as, the traingle is equilateral triangle Which means it's all sides are equal
therefore, VT and BT are x
→ BV = VT = BT = x
hope this answer helps you dear take care!
Which linear inequality is represented by the graph?
y < 3x + 2
y > 3x + 2
y < 1/3x + 2
y > 1/3x + 2
Answer:
y > 3x + 2
Step-by-step explanation:
Find gradient using given points:
m = gradient
Formula:
m = Δy/Δx
m = 9/3 = 3
So, equation of line will be:
y = 3x + a
a is 2 as the point (0, 2) is on the line, 2 units above origin point
The options remaining are:
y > 3x + 2 and y < 3x + 2
Consider any point in the shaded region and compare the y-value of that point with the y-value at the same value of x along the line, e.g. (0, 3) is within the shaded region, the y-value of the line at x = 0 is 2, i.e. the coordinates are (0, 2)
3 > 2 ∴ the correct inequality is y > 3x + 2
Show how to correctly graph (and don't copy and paste.)
y = -x - 5
Answer:
Step-by-step explanation:
Hope this helps :)
David wants to purchase some pens. The pens he likes cost $2 each, not including tax. This is represented by the graph below.
Notice triangle BAC.
Notice triangle BDE.
Explain how the triangles demonstrate that the rate of change is consistent for number of pens purchased and the cost.
The rate of change is always the same for a straight line no matter the points used.
The equation of a straight line is given by:
y = mx + b;
where y, x are variables, m is the rate of change and b is the y intercept.
In triangle BAC:
Rate of change = change in y(cost) / change in x(pens) = (6 - 0) / (3 - 0) = 2
In triangle BDE:
Rate of change = change in y(cost) / change in x(pens) = (8 - 0) / (4 - 0) = 2
The rate of change is always the same for a straight line no matter the points used.
juan lives 100 m away from bill. what is juans average speed if he reaches bill in 50 seconds
3-2/3= ?
2/3 is half
what is 10 x100 x1000
Answer:
10 x 100 x 1000 is 1000000
Step-by-step explanation:
Write
7x ^3/4 in radical form
The radical form form for [tex]7x^{3/4}[/tex] is [tex]\sqrt[4]{x^3} * 7[/tex] (Option d.).
To write [tex]7x^{3/4}[/tex] in radical form, we can express the exponent 3/4 as a fractional exponent within a radical.
[tex]7x^{3/4}[/tex] can be written as the fourth root of [tex](x^3)[/tex] multiplied by 7:
[tex]\sqrt[4]{x^3} * 7[/tex]
Therefore, [tex]7x^{3/4}[/tex] in radical form is [tex]\sqrt[4]{x^3} * 7[/tex].
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5 units form ( -1, -2) is what
Answer:
(4,-2)
Step-by-step explanation:
To find units from a point, you count by integers. So your x coordinate is -1. Add 5 and you arrive at 4. Your y coordinate has not changed, so the point is now at (4,-2)
The table shows the world birth rates y (number of births per thousand people) in x years since 1960.a. Identify an equation that models the birth rate as a function of the number of years since 1960.y=1.1x+50y is equal to 1 point 1 x plus 50y=1.1x+35y is equal to 1 point 1 x plus 35y=−0.3x+35y is equal to negative 0 point 3 x plus 35y=−0.3x+50y is equal to negative 0 point 3 x plus 50Question 2b. Interpret the slope and the y-intercept of the line of fit.The slope of −0.3 means that the birth rate is decreasing by about 30 births per 1000 people every 10 years. The y-intercept of 50 means that in 2010 there will be 50 births per thousand people.The slope of , negative 0 point 3, means that the birth rate is decreasing by about 30 births per 1000 people every 10 years. The , y, -intercept of 50 means that in 2010 there will be 50 births per thousand people.The slope of 1.1 means that the birth rate is increasing by about 11 births per 1000 people every 10 years. The y-intercept of 35 means that in 1960 there were 35 births per thousand people.The slope of , 1 point 1, means that the birth rate is increasing by about 11 births per 1000 people every 10 years. The , y, -intercept of 35 means that in 1960 there were 35 births per thousand people.The slope of 1.1 means that the birth rate is decreasing by about 110 births per 1000 people every 10 years. The y-intercept of 50 means that in 2010 there will be 50 births per thousand people.The slope of , 1 point 1, means that the birth rate is decreasing by about 110 births per 1000 people every 10 years. The , y, -intercept of 50 means that in 2010 there will be 50 births per thousand people.The slope of −0.3 means that the birth rate is decreasing by about 3 births per 1000 people every 10 years. The y-intercept of 35 means that in 1960 there were 35 births per thousand people.
Using technology, the least square regression line equation which models the data is : y = -0.3x + 35.
b.) The slope of −0.3 means that the birth rate is decreasing by about 3 births per 1000 people every 10 years. The y-intercept of 35 means that in 1960 there were 35 births per thousand people.
Given the data :
X : __ 0 ___ 10 ____ 20 ___ 30 ___ 40 ___ 50Y:__35.4 __33.6 ___28.3 __27.0 __22.4 _ 20.0Using either a linear regression calculator or excel :
y = -0.3x + 35 Slope, b = - 0.3 Intercept, c = 35The value of the slope, gives the rate of change in y per unit increase in x.
Hence, the slope value of - 0.3 means that birth rate is decreasing by about 30 births per 1000 people.The intercept is the value of y when x = 0 ; This means that the number of births in 1960(beginning of the data collection), there were 35 births per thousand people.
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Pls help I’m so confused
Answer:
its a
Step-by-step explanation:
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go to math antics on youtu
1.The cost of a shirt was originally $ 40, but the price dropped to $32 because it was on
sale. What was the percent change in the price?
Use the photo and covert fraction into decimal and convert decimal to percentage and show work.
Which reason justifies statement 2?
A vertical angles
B Consecutive interior angles
C corresponding angles
D alternate interior angles
Answer:
B.consecutive interior angles
Richard and teo have a combined age of 42. Richard is 9 years older that twice teos age. How old are Richard and Teo
Step-by-step explanation:
Richard and teo age is 51 years old
Hi can someone plss help me with this!!
Answer:
Dimensions of the couch is: 8 x 4 2/3 x 5 1/3
Step-by-step explanation:
6 divided by 3/4 = 8
3 1/2 divided by 3/4 = 4 2/3
4 divided by 3/4 = 5 1/3
help me with which triangle it is and how do I find x?
Answer:
isosceles
x=14
Step-by-step explanation:
isosceles because of the two I symbols on the triangle
x+5=2x-9
5+9=2x-x
14=x
Step-by-step explanation:
it's an isosceles triangle,
as an Isosceles triangle have two equal sides so
→ 2x - 9 = x + 5
→ 2x - x = 5 + 9
→ x = 14
therefore, value of x is 14.
2(14) - 9 = 28 - 9 = 19
14 + 5 = 19
hope this answer helps you dear take care!
Write the decimal as a fraction or a mixed number. Write your answer in simplest form.
0.8806
0.8806 =
Answer: 1 / 8806
Step-by-step explanation: not no noticeable way of it being a mixed number.
Use the following function rule to find f(0).
f(x) = 11^x +12
f(0) =
Answer:
f(0) = 13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify.
f(x) = 11ˣ + 12
Step 2: Evaluate
Substitute in x [Function f(x)]: f(0) = 11⁰ + 12Simplify: f(0) = 1 + 12[Order of Operations] Add: f(0) = 13un supermercado ha comprado docientas cinquenta bolsas de naranjas de cinco kilos de trecientos ochenta euros y las pone a la venta a tres euros la bolsa
Answer:
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Step-by-step explanation:
Write an equation to match the real-world situation.
A video game rental store charges $3 per game and a membership fee of $10.
Answer: 3x+10. (If you get a membership.)
X= amount of games bought.
The ratio of men to women working for a company is 6 to 5. If there are 140 women working for the company, what is the total number of employees?