Answer:
See below.
Step-by-step explanation:
[tex]h(x)=-1/2(x - 4)^2 + 3[/tex]
The domain is all real numbers.
The range is all real numbers [tex]\leq 3[/tex].
The domain of the function will be all real numbers and the range of the function will be (-∞, 3].
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient. Then the equation of the parabola will be given as,
y = a(x - h)² + k
The domain means all the possible values of x and the range means all the possible values of y.
The equation of the parabola is given below.
h(x) = – 1/2(x – 4)² + 3
The vertex of the parabola is at (4, 3). The parabola is a downward parabola.
The domain of the function will be all real numbers and the range of the function will be (-∞, 3].
More about the equation of the parabola link is given below.
https://brainly.com/question/20333425
#SPJ5
Write \sqrt{-40}
−40
in simplest radical form.
Answer:
2*{2*i*√(10) - 20}
Step-by-step explanation:
i will interpret your expression as being
sqrt{-40} − 40. The first term factors to
sqrt{-4*10)
and the second stays as is.
Then we have
sqrt(-4*10) - 40, or
i*2*sqrt(10) - 40, or
2*{2*i*sqrt(10) - 20}, or
2*{2*i*√(10) - 20}
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Ellyana's landscape gardening business creates odd-shaped lawns that include semicircles. Which choice best represents the area of this semicircular section of the lawn in this design. Use 3.14 for pi
Question 1 options:
452.16 meters squared
29.5788 meters squared
56.52 meters squared
226.08 meters squared
Answer: 56.52 meters squared i took the test :)
Step-by-step explanation:
ALSO ITS MY NAME LOL
Find the value of x in the figure below.
26
56
Х
find the value of c that completes the square
x^2-6x+c
please help me with the math problem and show me how to do these kinds.
Thank you.
Answer:
The answer is 9
Step-by-step explanation:
for the equation:
move the -6x
x^2 + c - 6x
To find c :
c = (b/2)^2
this means you have to divide the coefficient of x by 2 then square the result
If you dont understand I put a picture of all the steps
Please help please help
Answer:
101, 201, 301, 401, 501
Step-by-step explanation:
These are the first five multiples of 101
:D
help please True or false 15=11m.
if m=4?
Answer:
False
Step-by-step explanation:
If F=4 that means 11 x 4 = 44 and 15 does not equal 44.
Help please someone I’m very confused
Answer:240
Step-by-step explanation:
The y int in this equation represents the starting amount and the y int is 240 miles
Determine the type of triangle that is drawn below.
Answer:
Isosceles Right
Step-by-step explanation:
Mr. Rodriguez barrowed 5000 to purchase a used car. He made payments of 236 per month to repay the amount he barrowed. Which table represents this information?
these numbers below represent the tables.
a:
0 5000
1 5000
3 5000
7 5000
b:
0 5000
1 4800
3 4400
7 3600
c:
0 5000
1 4770
3 4310
7 3390
d:
0 5000
1 4764
3 4292
7 3348
Find the value of y.
Answer:
13.5
Step-by-step explanation:
just subtract everything aan keep the 13/5 and use tat
Answer:
y = 11.2
Step-by-step explanation:
Given:
The Side-Splitter Theorem states that:
JKP is any triangle
KL is drawn parallel to MN, then JK/KM = JL/LN
JK/KM = JL/LN = KL/MN
9/13.5 = (37.5 - x)/x = 7.5/y
9/13.5 = 7.5/y
y = 11.249
9/13.5 = (37.5 - x)/x
x = 22.5
There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate?
Answer:
7/15
Step-by-step explanation:
find a common demonator for example 15
you would do 4x3 for 12 and 5x3 for 15 so your first fraction would be 12/15
for the second fraction you will do 1x5 and 3x5 so your fraction would be 5/15
then you just subtract.
Answer:
7/15
Step-by-step explanation:
4/5 - 1/3. Change the denominators to 15, do they same to the numerators which is multiply by 5. You then have 12 minus 5 = 7. So 7/15.
Anderson Middle School received 37 tickets to next week's ball game. The tickets were given out to the 5 sixth grade classes. How many tickets were given to each grade? and How many were left over?
Answer:
7 tickets given to each class, 2 left over
Step-by-step explanation:
You can divide 37 by 5 to get 2 remaining.
EX: 37 / 2 = 7 r2
Help me please and thanks
Answer:
3/-4 or -0.75 is the answer
Step-by-step explanation:
hope this is the right answer if it isnt sorryy
The graph shows the amount of money paid when purchasing bags of caramel corn at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 9. These points are joined by a line. The label on the x-axis is Bags of caramel corn. The title on the y-axis is Total cost in dollars.
What does the point (0, 0) on the graph represent?
Answer:
Step-by-step explanation:
propportinal
means that the points are inproportion
ratios
1:3=2:6=3:7
1/3=2/6=3/7
1/3=1/3=3/7
false
therefor it is not poropoortional
another way is to graph the points and see if a straight line can go though all of them
it can go thoruhg the first 3 but not eh 4th pont (3,7)
not proportional
Answer:
a
Step-by-step explanation:
Solve the system of linear equations by adding or subtracting. 2x +y = -6 -5x + y = 8 Enter the solution as an ordered pair. The solution is
Answer: (-6,-4)
Step-by-step explanation:
A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation that represents this and show your work. Then find the possible value(s) for x, and find the actual dimensions of the postcard.
Answer:
[tex]x^2 + 15x - 60 = 0[/tex]
The actual dimension is 18.28 by 3.28
Step-by-step explanation:
Given
Dimension:
[tex](x + 15)\ by\ x[/tex]
[tex]Area = 60in^2[/tex]
Required
Determine the quadratic equation and get the possible values of x
Solving (a): Quadratic Equation.
The cardboard is rectangular in shape.
Hence, Area is calculated as thus:
[tex]Area = Length * Width[/tex]
[tex]60= (x + 15) * x[/tex]
Open Bracket
[tex]60= x^2 + 15x[/tex]
Subtract 60 from both sides
[tex]x^2 + 15x - 60 = 0[/tex]
Hence, the above represents the quadratic equation
Solving (b): The actual dimension
First, we need to solve for x
This can be solved using quadratic formula:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 1[/tex]
[tex]b = 15[/tex]
[tex]c = -60[/tex]
So:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}[/tex]
[tex]x = \frac{-15 \± \sqrt{225 + 240}}{2}[/tex]
[tex]x = \frac{-15 \± \sqrt{465}}{2}[/tex]
[tex]x = \frac{-15 \± \21.56}{2}[/tex]
Split:
[tex]x = \frac{-15 + 21.56}{2}[/tex] or [tex]x = \frac{-15 - 21.56}{2}[/tex]
[tex]x = \frac{6.56}{2}[/tex] or [tex]x = \frac{-36.36}{2}[/tex]
[tex]x = 3.28[/tex] or [tex]x = -18.18[/tex]
But length can't be negative;
So:
[tex]x = 3.28[/tex]
The actual dimensions: [tex](x + 15)\ by\ x[/tex] is
[tex]Length =3.28 +15[/tex]
[tex]Length =18.28[/tex]
[tex]Width = x[/tex]
[tex]Width =3.28[/tex]
The actual dimension is 18.28 by 3.28
I need help on questions 2 and 4
Answer:
Step-by-step explanation:
1). There is 5 hours between 8:15 A.M. and 3:15 P.M.
7 × 60 - 10 = 410 minutes
2). 6 hours and 50 minutes
3). Right angle (90°)
4). Obtuse angle (120°)
WHAT'S THE RANGEE??
Answer:
-2 < y ≤ 10
Step-by-step explanation:
The graph's lowest point is at y = -2, and the graph's highest point is at y = 10, so we know it would start off with -2 and end with 10. The dot at the lowest point is not shaded in, indicating that the graph does not include -2. So, we would represent this exclusion in our inequality with a less than (<) sign. As for the highest point at y = 10, it is shaded in, indicating that the graph does include 10. We would show this in our inequality with a less than or equal to sign (≤)
Mary goes from the house to the tree. Then she goes from the tree to the lake how many miles did she go in all?
Answer:
not possible u have to give some unit of measuremant or time or speed
Step-by-step explanation:
idont even know i be stupid
Find the slope of the line going through the points (1,3) and (4,9) The slope of the lines is m = (For example, slope -2)
Need help asap!! Tyyy
Answer:
42y + 12
Step-by-step explanation:
Simplify by applying the distributed property:
6 × 7y = 42y6 × 2 = 12Put them together: 42y + 12I hope this helps!
A train travels with a constant speed of 108 km/h. How long will it take to travel a distance of 270 kilometers? PLEASE HELLLLLLPPPP THERE BRAINLIEST
Answer:
The answer is 2.5 hours. That's how long it would take the train to travel 270 kilometers.
mark me brainliest!
Identify the equation of the line graphed below.
Answer:
B
Step-by-step explanation:
this is the correct awnser because the thingy is y-y¹=slope(x-x¹) so for y¹ it would be 2 and that gives away the awnser. because all of the other ones have different numbers if the minus sign is an addition sign it mean that the y¹ is negative which it isnt.
how you would find the y¹ is you look on the y-axis and see where the line goes through perfectly which is the positive 2
Hope this helps!
and isn't to complicated
Use the distributive property to write the following expressions in expanded form. e ( f + g )
Answer:
ef + eg
Step-by-step explanation:
Distributive Property: a(b +c) = (a*b) + (a*c)
e(f +g) = e*f + e*g
= ef + eg
An 18-pound bag of dog food is $27. What is the constant of proportionality that relates cost in dollars, y, to the number of pounds of dog food, x ?
my teacher was sharing his screen and he forgot and he was looking at this girls Instagram and it was a student in my class she was so embarrassed.
Answer:
LOL
Step-by-step explanation:
Answer:
hahaha bro maybe he was in love with her
Step-by-step explanation:
The equation that represents the canned goods order is
24x + 64y = 384, where x = number of minutes for
producing fruit cans and y = number of minutes for
producing vegetable cans.
What is the meaning of the y-intercept?
If you can give sample response from edge I will give brainliest!
Answer:
The y intercept is where the number of minutes producing fruit cans is 0 and the value of the number of minutes for producing vegetable cans is on the y-axis.
Step-by-step explanation:
A y-intercept is where the x value is 0 and the y-value is on the y-axis. So, the answer consists of making the x value 0.
Answer:
Sample Answer: The x-intercept, at the point (16, 0) indicates the choice to produce fruit for 16 minutes. In 16 minutes, producing 24 cans of fruit a minute, all 384 cans for the order will be completed. The zero for the y-value represents that no time is spent producing cans of vegetables.
Step-by-step explanation:
what is the slope of a line that is parallel to the line that passes through the points (2,-2) and (5,-1)
Answer:1/3
Step-by-step explanation:
The formula for finding slope is (y2-y1)/(x2-x1)
(-1--2)/(5-2)
1/3
please help me i give brainliest
the question is if you can’t see it “If 2 ringtones cost $6, and the cost of 3 ringtones is $9 how can you setup a proportion to compare two ratios? Use the graphic organizer below to set up your proportion!”
Answer:
I think
2 ring.... = $6
3ring..... = $9
1rings = 6/2 = 3
Step-by-step explanation:
For ratio you can write
2/6 = 3/9
Answer will be
1/3
Ratio is kinda rate for buying stuff, like comparison too