The vertex form of the quadratic function:
[tex]f(x)=a(x-h)^2+k[/tex]
(h, k) - vertex
We have
[tex]y=2(x-3)^2+4[/tex]
h = 3, k = 4
Therefore your answer is:
C. (3, 4)The vertex of the parabola given by the equation [tex]y = 2(x - 3)^2 + 4[/tex] is at the point (3, 4), which corresponds to answer option C.
The question is asking to identify the vertex of the parabola given by the equation y = 2(x − 3)^2 + 4. In this form, the equation is in vertex form of a parabola, which is [tex]y = a(x - h)^2 + k[/tex], where (h, k) is the vertex of the parabola. Comparing the given equation to the vertex form, we can see that h = 3 and k = 4, hence, the vertex of the parabola is at the point (3, 4). Therefore, the correct answer is C (3, 4).
HELP WITH MATH!! Look at the graph. What are the first four terms of the arithmetic sequence?
Answer:
a=9
b=4
v=69
Step-by-step explanation:
What food resources can be harvested from the ocean?
Select the three correct answers.
oysters
cranberries
shrimp
fish
(oops sorry for wrong topic dont know how to edit the topic sorry)
Answer: Oysters, Shrimp and Fish
Which best describes the relationship between the successive terms in the sequence shown?
9, –1, –11, –21, …
The common difference is –10.
The common difference is 10.
The common ratio is –9.
The common ratio is 9.
Answer:
The common difference would be -10.
Step-by-step explanation: If it were +10 then it would be: 9, 19, 29, 39
If it had a common ratio of -9 then it would be: 9, -81, 729, -6561
It it had a common ratio of 9, then it would be: 9, 81, 729, 6561
Answer:
A
Step-by-step explanation:
If a wave has a wavelength of 9 meters and a period of 0.006, what is the velocity of the wave ?
Answer:
Divide 9 by 0.006 you should get 1500
Step-by-step explanation:
Answer:
0.054
Step-by-step explanation:
Velocity = wavelength times frequency
= 9 * 0.006
= 0.054
HELP I’VE FALLEN AND I️ CAN’T GET UP! just kidding bUT I️ DO NEED HELP SO PLEASE HELP ME FOR BRAINLIEST!! Noelle went shopping and bought each of his nine nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $140.34 on the gifts. How many videos and how many CD’s did he buy?
Noelle bought gifts for her nine nephews and the total cost of these gifts is given. By setting up equations and solving them, we find that she purchased 6 videos and 3 CDs.
Step by Step Solution:
Noelle bought gifts for her nine nephews, which can be either videos costing $14.95 each or CDs costing $16.88 each, and spent a total of $140.34. We need to determine the number of videos and CDs she bought.
Let's denote the number of videos Noelle bought by V and the number of CDs by C. We can set up the following equations based on the given information:
V + C = 9 (as she bought gifts for nine nephews)
14.95V + 16.88C = 140.34 (total amount spent)
To solve these equations, we can use the substitution or elimination method. Let's use substitution:
From equation (1), we get:
C = 9 - V
Substitute this into equation (2):
14.95V + 16.88(9 - V) = 140.34
Expanding and simplifying:
14.95V + 151.92 - 16.88V = 140.34
-1.93V + 151.92 = 140.34
-1.93V = 140.34 - 151.92
-1.93V = -11.58
V = 6
Substitute V = 6 back into C = 9 - V:
C = 3
Therefore, Noelle bought 6 videos and 3 CDs.
2> -2-c.
how would I graph this?
Answer:
-4< c
Step-by-step explanation:
2> -2-c
Add 2 to each side
2+2> -2+2-c.
4 > -c
Divide each side by -1. Remember that dividing by -1 will flip the inequality.
4/-1 < -c/-1
-4< c
ab is tangent to circle o at b. find the length of the radius r fur ab=5 and ao=8.6
Look at the picture.
We must use the Pythagorean theorem:
[tex]AB^2+OB^2=AO^2\\\\5^2+r^2=8.6^2\\\\25+r^2=73.96\qquad\text{subtract 25 from both sides]\\\\r^2=48.96\to r=\sqrt{48.96}\\\\\boxed{r\approx7}[/tex]
Answer: The radius is equal 7.21 3/5 is what percent of 40
Answer:
21.6 is 54% of 40.
Step-by-step explanation:
21.6 ÷ 40 = 0.54 = 54%
Method 1:
[tex]21\dfrac{3}{5}=\dfrac{21\cdot5+3}{5}=\dfrac{108}{5}\\\\\\\\\begin{array}{ccc}40&-&100\%\\\dfrac{108}{5}&-&p\%\end{array}\qquad\text{cross multiply}\\\\\\\\40p=\dfrac{108}{5}\cdot100\\\\40p=108\cdot20\\\\40p=2160\qquad\text{divide both sides by 40}\\\\\boxed{p=54}[/tex]
Answer: 21 3/4 is 54% of 40.Method 2:
[tex]\dfrac{\frac{108}{5}}{40}\cdot100\%=\dfrac{108}{5}\cdot\dfrac{1}{4}\cdot10\%=\dfrac{108}{2}\%=54\%[/tex]
Answer: 21 3/4 is 54% of 40.There are three numbers for the combination to the store’s safe. The first number is 14.The other two numbers can be multiplied together to give a product of 24.What are all the possibilities of the other two numbers?Write your answers as multiplication number sentence, and then list all the possible combinations to the safe.
l-15l __ l15l is it <> or =?
|a| = a for a ≥ 0
|a| = -a for a < 0
|-15| = -(-15) = 15
|15| = 15
Therefore |-15| =|15|Given: △AKL, AK=9 m∠K=90°, m∠A=60° Find: The perimeter of △AKL The area of △ AKL
Answer:
Perimeter of ΔAKL is, [tex]27 +9 \sqrt{3}[/tex] units.
Area of ΔAKL is, [tex]\frac{81\sqrt{3} }{2}[/tex] square units
Step-by-step explanation:
Given: In ΔAKL , AK = 9 units , [tex]m\angle K = 90^{\circ}[/tex] and [tex]m\angle A= 60^{\circ}[/tex].
In ΔAKL
[tex]\tan (A) = \frac{KL}{AK}[/tex]
Substitute the value AK = 9 units and [tex]m\angle A =60^{\circ}[/tex] to solve for KL ;
[tex]\tan(60^{\circ}) = \frac{KL}{9}[/tex]
[tex]\sqrt{3} = \frac{KL}{9}[/tex]
⇒[tex]KL = 9\sqrt{3} units[/tex]
In right angle ΔAKL,
Using Pythagoras theorem;
[tex]AL^2 = AK^2+KL^2[/tex] ......[1]
Substitute AK = 9 units and [tex]KL =9\sqrt{3} units[/tex] in [1] to solve for AL;
[tex]AL^2 = 9^2+(9\sqrt{3})^2[/tex]
[tex]AL^2 = 81+(81 \cdot 3)[/tex]
[tex]AL^2 = 81+243 = 324[/tex]
[tex]AL = \sqrt{324} = 18 units[/tex]
Perimeter of triangle is the sum of all the sides.
Perimeter of triangle AKL = AK +KL +AL = [tex]9 + 9\sqrt{3} + 18 = 27 +9 \sqrt{3}[/tex] units.
Formula for Area of right angle triangle is given by:
[tex]A = \frac{1}{2} Base \times Height[/tex]
Area of triangle AKL= [tex]\frac{1}{2} (9\sqrt{3}) \times (9)[/tex]
= [tex]\frac{81\sqrt{3} }{2}[/tex] square units
Final answer:
The perimeter of triangle AKL is approximately 29.09 m, and the area is 20.25 m², calculated using the properties of a 30°-60°-90° right triangle.
Explanation:
To find the perimeter of △AKL, we need to determine the lengths of all three sides. We know that AK = 9 m, ∠K = 90° (which makes △AKL a right triangle), and ∠A = 60°. Because the angles in a triangle add up to 180°, ∠L must be 30° (180° - 90° - 60°). In a 30°-60°-90° right triangle, the lengths of the sides are in the ratio 1:√3:2. Thus, if AK is the side opposite the 60° angle, AL must be half of AK, and KL must be AK times √3.
Therefore, AL = ½ × 9 m = 4.5 m, and KL = √3 × 9 m ≈ 15.59 m. The perimeter is the sum of AK, AL, and KL: 9 m + 4.5 m + 15.59 m ≈ 29.09 m.
The area of △AKL can be found using the formula for the area of a right triangle, which is ½ × base × height. AK and AL can serve as the base and height, respectively, so the area A is ½ × 9 m × 4.5 m = 20.25 m².
What is the seventh term of the sequence 2, 3, 4 1/2 …?
Answer:
22 25/32
Step-by-step explanation:
well you just dividde the number in half and add the half and continue this and that's the seventh term. please be grateful it took me five minutes to do this
The seventh term of this sequence is 34.17875
Given : Each consecutive term is calculated by adding the half of preceding term to the preceding term.
Like : 2 + 1/2 (2) = 2 + 1 = 3
3 + 1/2 (3) = 3 + 3 / 2 = 3 + 1.5 = 4.5 or 4 1/2
4.5 + 1/2 ( 4.5 ) = 6.75
Similarly :
6.75 + 1/2 (6.75) = 10.125
10.125 + 1/2 (10.125) = 15.1875
15.1875 + 1/2 (15.1875) = 22.78125
22.78125 + 1/2 (22.78125) = 34.17875
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4x-y=6 and 3x+2y=21 Solve by elimination
Answer:
x=3,y=6
Step-by-step explanation:
4x-y =6
3x+2y = 21
To use elimination we will multiply the first equation by 2
2(4x-y) =6*2
8x -2y =12
We will add this equation to the second equation to eliminate y
8x -2y =12
3x+2y = 21
-----------------
11x = 33
Divide each side by 11
11x/11 = 33/11
x =3
We still need to solve for y
3x+2y = 21
Substituting x=3
3*3+2y = 21
9+2y =21
Subtract 9 from each side
9-9+2y = 21-9
2y = 12
2y/2 = 12/2
y =6
What is the initial y-value of the linear function whose graph includes the points (-5, 0) and (6, -22)?
The initial y-value (or y-intercept) of the linear function that includes the points (-5, 0) and (6, -22) is -10.
Explanation:The student is asking about the initial y-value of a linear function, which is also known as the y-intercept. This is the value of y when the line crosses the y-axis (where x=0). To find this, we first find the slope of the line using the formula: slope = (y2 - y1) / (x2 - x1) = (-22 - 0) / (6 - (-5)) = -22 / 11 = -2. Then we use the point-slope form of a linear equation to find the y-intercept 'b': y - y1 = m*(x - x1), substituting one of the points and the found slope: 0 - (-2)*(-5) = b gives us b = -10. This implies that the initial y-value of the linear function is -10.
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What is Y=6x-6 and -3x-3y=-24
System of substitution
Answer:
x = 2
y = 6
Step-by-step explanation:
y= 6x - 6
-3x- 3y= -24
to find the value of x:
- 3x - 3 (6x - 6)= -24
- 3x - 18x + 18= -24
-21x + 18 = -24
-21x= -42
x = 2
Now, to find the value of y:
(substitute x into the equation)
y = 6 x - 6
y = 6 (2) - 6
y = 12 - 6
y = 6
Three friends each have some ribbon. Carol has 90 inches of ribbon, Tino has 4.5 feet of ribbon, and Baxter has 5.5 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and yards.
inches =
feet =
yards
Answer:
inches= 342''
feet= 28.5'
yards= 9.5 yds
Step-by-step explanation:
inches= 90 +54 + 198= 342''
feet=342*(1/12)= 28.5'
yards= 9.5 yds
Convertion Rates
1'=12''
1yd = 3'
Step-by-step explanation:
inches= 342''
feet= 28.5'
yards= 9.5 yds
10$ for 4 cans of soup ratio and unit rate
A 30m tall building casts a shadow. the distance from top of the building to the top of the shadow is 36m. Find the lengths of the shadow
Final answer:
Using the Pythagorean theorem, the length of the shadow cast by a 30m tall building, with a diagonal distance of 36m from the top of the building to the top of the shadow, is calculated to be approximately 19.9 meters.
Explanation:
To find the length of the shadow cast by a 30m tall building, we can use the Pythagorean theorem. This theorem relates the lengths of the sides of a right triangle. Here, the building and its shadow form the two legs of a right triangle, and the line from the top of the building to the top of the shadow is the hypotenuse.
Let's denote:
The height of the building (opposite side) as O = 30m
The length of the shadow (adjacent side) as A
The distance from the top of the building to the top of the shadow (hypotenuse) as H = 36m
According to the Pythagorean theorem, we have:
O2 + A2 = H2
Plugging in the known values, we get:
302 + A2 = 362
900 + A2 = 1296
A2 = 1296 - 900
A2 = 396
A = √396
A ≈ 19.9m (rounded to one decimal place)
Therefore, the length of the shadow is approximately 19.9 meters.
What is the 15th term of the sequence an =-3n+50
Answer:
a15 = -5
Step-by-step explanation:
Let n=15 for the 15th term
a15 = -3*15 +50
a15 = -45+50
a15 = -5
To find the 15th term of the sequence an = -3n + 50, replace n with 15 in the given formula. The calculation becomes -3(15) +50 which simplifies to -45 + 50, finally giving the result 5. Therefore, the 15th term of the sequence is 5.
Explanation:In mathematics, determining the nth term of a sequence involves applying the sequence formula, and substituting the specific term number, denoted as n, into the formula. For instance, consider the sequence an = -3n + 50. To find the 15th term (a15), one substitutes n = 15 into the formula: a15 = -3(15) + 50. Simplifying, a15 = -45 + 50, resulting in a15 = 5. This process showcases how a specific term in the sequence can be calculated systematically, providing a precise value for the 15th term. The formula an = -3n + 50 encapsulates the underlying pattern, allowing for the determination of any term within the sequence.
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How do you graph y=2x-1
Answer:
y is the vertical axis. x is the horizontal axis. Replace any value in x to get your y value. The value you input as x is your x value. God this sounds confusing. I'd graph it for you but i don't know how to do that on Brainly.
Step-by-step explanation:
Step-by-step explanation:
For each value of x you will have a y value
Step 1: Make a Chart with values
X | 1 2 3
Y |
Step 2: Substitute the x values in the y function
y= 2(1) - 1
y=2-1
y=1
Step 3: Fill the Chart with the obtained values
X | 1 2 3
Y | 1
Step 4: Plot the points as coordinates (x, y) i.e (1,1)
Step 5: Connect the points
Step 6: Be happy, you just learn how to plot. You can follow this proccedure for any kind of function.
Please try to answer `#7 7.
Answer:
#7 is 3,150 tickets
Step-by-step explanation:
You multiply 126 and 25 together to get 3,150, because if each of the 126 students have to sell 25 tickets, that means you have to use multiplication.
Jessica has driven exactly 90% of the distance to her friends home. Which statement about this trip could be true?
A. Jessica has driven exactly 40 miles out of a total of 360 miles.
B. Jessica has driven exactly 270 miles out of a total of 360 miles
C. Jessica has driven exactly 360 miles out of a total of 400 miles
D. Jessica has driven exactly 396 miles out a total 490 miles
Answer:
The answer is C) Jessica has driven exactly 360 miles out of a total of 400 miles
Step-by-step explanation:
Since 90% is equal to 0.9 of 1
And you need to figure out what statement is true
You would take the largest number from each answer choice and multiply it by 0.9
For Example: In answer choice A), it says Jessica has driven exactly 40 miles out of a total of 360 miles.
So you would multiply 360 by 0.9
Which gives you 324
Which is not 40
Therefore it is wrong
Answer:
c
Step-by-step explanation:
Aubrey's dinner cost $85. She tips the waitstaff 30% for excellent service. How much does Aubrey tip the waitstaff?
Find the greatest common factor of the following monomials 22a^5, 8a
A Youth chorus of 30 members. There are 14 boys in the chorus. What is the ratio of boys to girls in the simplest form?
A: 7/15
B: 8/15
C: 7/8
D: 8/7
Answer:
C PLEASE GIVE BRAINLIEST
Step-by-step explanation:
30 - 14 = 16girls
ratio is : 14/16 = 7/8
Answer:
C
Step-by-step explanation:
I took the test
The perimeter of a rectangular deck is 4 times its width. If the deck's perimeter is 30 feet, what is the deck's area?
Answer:
i think it is 120
Step-by-step explanation:
4 multiplied by 30 is 120
Can someone please help me with these
i think it will be B and then the second will be C
Answer:
Step-by-step explanation:
4)
30 is 60% of 50
5)
Amount Saved (Discount): $
350
Sale / Discounted Price: $
650
The current temperature in Smalltown is 20°F. This is 6 degrease less than twice the temperature that it was six hours ago. What was the temperature in Smalltown six hours ago?
Answer:
The temperature six hours ago was 13 °F
Step-by-step explanation:
Six hours ago the temperature was x degrees.
The temperature now is "6 degrees less than twice the temperature that it was six hours ago."
The temperature now is 2x - 6.
The temperature now is 20 deg.
2x - 6 = 20
2x = 26
x = 13
Answer: The temperature six hours ago was 13 °F.
What is the effect on the graph of the function f(x) = |x| when f(x) is changed to f(4x)? A) stretched vertically B) compressed vertically C) stretched horizontally D) compressed horizontally
Answer:
D) compressed horizontally
Step-by-step explanation:
he graph of the function f(x) = |x|
f(x) is changed to f(4x)
When we multiply some number with f(x) outside , then there will be a vertical stretch or compression on the graph
When we multiply some number with x inside f(x), then there will be a horizontal stretch or compression on the graph
Here 4 is multiplied with x inside f(x)
If the number is greater than 0 and less than 1 , then its a horizontal stretch
If the number is greater than 1 then it is a horizontal compression
Here 4 is greater than 1, so there will be a horizontal compression by a factor 1/4
Answer:
the correct answer is c i just got it wrong
Step-by-step explanation:
What is the length of if ?
8 in.
8.75 in.
10.25 in.
14 in.
Answer:
Diagram attached
AJ = 8.75 in.
Step-by-step explanation:
Since triangles HBA & HKJ are similar,
BH/AH = KH/JH
3 in /5.25 in = 8 in /JH
JH = 14 in
JA = JH - AH = JH - 5.25 in = 8.75 in
HJ = 14 in.
AJ = 14 in - 5.25 in
AJ = 8.75 in.