Answer:
The correct options that describe the inequality (y + 1)² > 6·(x - 2)
1) Because only the 'y' quantity is squared the curve is a parabola
2) The parabola opens right because 6 is in front of the 'x' quantity
3) The shading area is outside the parabola because (0, 0) satisfies the inequality
4) The values subtracted from 'x', and 'y' in the equation are the coordinates of the vertex
Step-by-step explanation:
The given inequality graphed by Miranda is presented as follows;
(y + 1)² > 6·(x - 2)
By simplification, we get;
Given that the inequality is of the form (y - k)² > 4·p·(x - h), we have;
The curve is a parabola as only the 'y' quantity is squared
-k = 1
∴ k = -1
4·p = 6
∴ p = 6/4 = 3/2 = 1.5
p = 1.5
-h = -2
∴ h = 2
The vertex of the parabola = (h, k) = (2, -1)
The axis of symmetry = The x-axis
p = 1.5 > 0, therefore, the parabola opens right
Therefore, the parabola opens right because 6 is in front of the 'x' quantity
There is a strict inequality therefore the boundary is not included in the solution set
When x = 0 and y = 0, we have;
(y + 1)² > 6·(x - 2)
(0 + 1)² > 6·(0 - 2)
1² > 6 × (-2)
1 > -12, which satisfies the inequality and (0, 0) is on the left and below the vertex, therefore, the shaded area is outside the parabola
The vertex of the parabola given in the form, (y - k)² > 4·p·(x - h), is (h, k), which are the values subtracted from 'x', and 'y' in the equation
Therefore, the vertex of the given parabola, (y + 1)² > 6·(x - 2) = (2, -1)
Answer:
A, B, D, and E
Step-by-step explanation:
right on edge 2022 :)
A rectangular garden has a length that is 3 feet longer than its width. Let w represent the width of the garden in feet. The entire garden is surrounded by a 2-foot-wide cement walkway.
Answer:
Step-by-step explanation:
From the question, we're told that the length of the garden is 3 feet longer than its width. Mathematically, we would have
l = w + 3, where
l = length of the garden
w = width of the garden
Again we're told that this same garden has a walkway of about 2 foot wide. Mathematically we would have that as
W(w) = 2, where
W(w) = width of the garden.
That's all the parameters given in the question
When Martin graduates college, he is gifted $1,200 and puts the money into a savings account that earns 2.2% annual interest. How much money will Martin have in 2 years? How much money will Martin have in 5 years?
Answer:
2 years = 1252.80 5 years =1332
Step-by-step explanation:
1,200 x 2.2% = 26.4
26.40 x 2 = 52.80
1200 + 52.80 = 1252.80
26.40 x 5 =132
1200 + 132 =1332
A triangular prism is 50 yards tall and has a base area of 40 square yards. What is the volume of the prism?
Answer:
1000
Step-by-step explanation:
1/2 (b x l x h)
1/2 (40 x 50)
1/2 (2000)
1000
What is the Hypotenuse of 12mi and 16mi
A study showed that the ratio of the number of people who get their news from print sources to the number of people who get their news from social media sources is 3:7. Based on the ratio, how many people in a town of 900 people get their news from social media sources?
Two classmates solved this problem and their work is shown below. Which classmate solved the problem correctly? Explain the error in the classmate who solved it incorrectly.
Answer:
270 = number who get news from print sources
630 = number who get news from social media
Step-by-step explanation:
Let 3x = number who get news from print sources
and 7x = number who get news from social media
Then 3x + 7x = 900
10x = 900
x = 90
3x = 3(90) = 270 = number who get news from print sources
7x = 7(90) = 630 = number who get news from social media
Check: 270/630 = 3/7 and 270 + 630 = 900
Find the first four terms of the sequence given by the following.
an=43-6(n-1), n=1, 2, 3.
Step-by-step explanation:
Your answer is
43,37,31,25
Hope that this is helpful. Tap the crown button, Like & Follow me
Help I need this what’s angle 1 and 5
6th grade math help me pleasee
Answer:
The height above ground level of a rider on a roller coaster over the duration of the ride
Step-by-step explanation:
Answer:
The one that says roller coaster in it.
Step-by-step explanation:
The rest are constant rates so they shouldn't be going up and down on a graph. Since the roller coaster height goes up and down and not straight, it would look like what is shown on the graph.
What is the distance between the points (0,0) and (6,8)
Answer:
(6,8)
Step-by-step explanation:
6 to the left and 8 up
Answer:
i think its its 8 squares north but ion know nothing about this.
Step-by-step explanation:
what is the greatest common factor of 3 and 21x?
Answer:
3
Step-by-step explanation:
3 ÷ 3 = 1
21x ÷ 3 = 7x
There is no other common factor.
Work out the question (-5)2
Answer:
-10 or 25 (read my explanation)
Step-by-step explanation:
(-5)2
-5*2=-10
(Unless the 2 is supposed to be an exponent)
If it is supposed to be an exponent the answer is 25
(-5)^2
25
[tex]\huge\boxed{Hi\;there!}[/tex]
(-5)2 means negative five times 2.
The answer is -10.
Remember, if we multiply a negative times a positive, we get a negative number.
[tex]\huge\boxed{\rm{Hope\:it\:helps!}}[/tex]
[tex]\huge\bf{Good\:luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
2/3 x 9/14 as a fraction in simplest form.
Answer:
3\7
Step-by-step explanation:
2\3×9\14=3\7
3. Daniel's Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5.2%. Find
its approximate value after 8 years.
.062
Exponential Function
Solve
Find the percent error in this situation:
Estimated value: 231
Actual value: 215
0.074%
7.4%
0.069%
6.9%
Answer:
7.4 % is percent error
Step-by-step explanation:
https://brainly.com/question/21689164
The percent of error is 7.4%. The correct option is B.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Estimated value: 231
Actual value: 215
To find the percentage:
First, the value,
= 231 - 215
= 16
Now,
let n be the percentage.
So,
16 = n x 215/100
n = 1600/215
n = 7.4%
Therefore, 7.4% is the error.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ6
3f^4g^3 x 8fg^4 / (6f^2g^3)^2 how do you do this?
9514 1404 393
Answer:
2/3·fg
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(ab)^c = (a^c)(b^c)
(a^b)^c) = a^(bc)
__
We assume your 'x' is a multiplication symbol, so you want to simplify ...
[tex]3f^4g^3 \times\dfrac{ 8fg^4}{ (6f^2g^3)^2}\\\\=\dfrac{3\cdot8f^{4+1}g^{3+4}}{6^2f^{2\cdot2}g^{3\cdot2}}=\dfrac{24}{36}f^{5-4}g^{7-6}\\\\=\boxed{\dfrac{2}{3}fg}[/tex]
hi please help i’ll give brainliest if you give a correct answer and show your work!
Answer:
A: 4.4 B: 0.875
Step-by-step explanation:
22/5=4.4. We know this because 22/5 simplified is 4 2/5, which converted to a decimal is 4.4.
7/8=0.875. We know this because 7/8 converted to a decimal is 0.875.
PLEASE HELP ME I NEED THIS REALLY BAD
Answer:
z=70, y=102
Step-by-step explanation:
180-110 = 70
so, z=70
99+89+70 = 258
360-258 = 102
so, y=102
Rodney can wash 24 windows in an hour how many windows can he wash in 1/8 of an hour
Answer:
3
Step-by-step explanation:
24x (1/8) = 3
hope this helps
10 / 16 = n / 19
round to the nearest 100th if needed
Answer:
exact form is 95/8 decimal form 11.875 and mixed number form n= 11 7/8
help me ..... im stuck here
What is the domain of this graph?
Answer:
(-3,-2,-1,1,2,3,4]
Step-by-step explanation:
All x values. Put the bracket and ( as well.
yes or no ? i need help
Answer:
Yes it is linear
Step-by-step explanation:
describe the meaning of the following symbols
Answer:
> = less than
< = greater than
3. less than or equal to
4. greater than or equal to
Step-by-step explanation:
The product of two integers is -8. What are the two
integers?
Answer:
This has multiple answers:
(4, -2) (2, -4) (8, -1) (1, -8)
Step-by-step explanation:
4*-2 = -8
-4* 2 = -8
-1*8 = -8
1*-8 =-8
please help me with this i need it
Step-by-step explanation:
25.74- 8.58=x/4.29
Triangle Sum Practice - Digital
Find the value of x, and then use that value to determine each angle measure of the triangle.
Which of the following figures does not have a line of symmetry?
Answer:
it should be C
what is the price paid for a 60% pair of jeans after a 35% discount
Answer:
Step-by-step explanation:
24
Answer:
39
Step-by-step explanation:
Please help. It would hep a lot
Answer:
a) The rate of how much rain falls each hour.
b) The y-int in this is (0,0) but which means how much inches of rain there wee before it started raining. (doesn't make sense but that's how it works lol)
c) 4.8 inches.
3/5 x 8 = 4.8 inch
Step-by-step explanation:
A function is a mathematical rule that.....
A. Has one or more exponential expressions
B. Can be graphed as a straight line
C. Sends every input to only one output
D. Sends every output to only one input
Answer:
B
Step-by-step explanation:
A function can be graphed as a straight line, as long as it isn't vertical.