Answer: Choice B
vertex = (3, -4)y intercept = (0, 5)x intercepts = (1, 0) and (5, 0)axis of symmetry: x = 3========================================================
Explanation:
The vertex is the lowest point for parabolas that open upward like this. The lowest point is (3, -4). If the parabola is flipped upside down, then the vertex would be the highest point.
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The y intercept is where the graph crosses the y axis. For any function, it will have at most one y intercept (some don't have any at all but the most you can have is 1 y intercept). The graph crosses the vertical y axis at (0,5). We can say in short "the y intercept is 5". The y intercept always occurs when x = 0.
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On the flip side, the x intercept always occurs when y = 0. This is where the graph crosses or touches the x axis. We have two such locations of (1,0) and (5,0). In short, we could say "the x intercepts are 1 and 5". The term "root" is another word we could use in place for "x intercept". Unlike the y intercept, we can have as many x intercepts as we want.
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The axis of symmetry is the vertical line through the parabola. It is the x coordinate of the vertex. So it's not a coincidence that the vertex is at (3,-4) and the axis of symmetry is x = 3, with those '3's repeated twice.
To what amount will $8000 growing if it is invested for 12 years at 6% compounded quarterly
Answer:
The final balance is $16,406.01.
The total compound interest is $8,406.01
Step-by-step explanation:
take the initial balance and multiply that by the interest then take 12 and multiply that times the previous answer.
What is 6 fewer than 3 times a number
Answer:
3x - 6
Step-by-step explanation:
Using the keywords "a number" and "few than" and "times" we can identify the expression.
Answer:
Let the number be x
Basically, 3 times a number is 3x and 6 fewer than 3 times a number is 3x-6 (that is, 6 is less than 3x)
Hence the required expression is 3x-6.
hope it helps :)
Please help!! Can you tell me the answers for number 4, 5, and 6?
I'll give you 5/5 stars, thanks, and the brainliest!!!!! PLEASE HELP MEEE
Answer:
4)56yards²
5)336 yards²
6)375yards²
Step-by-step explanation:
Question-4:from the graph we acquire that
length:4width:3.5remember that,
[tex] \displaystyle A _{ \text{rect}} = l \times w[/tex]
thus substitute:
[tex] \displaystyle A _{ \text{rect}} = 4 \times 3.5 \: [/tex]
simplify multiplication:
[tex] \displaystyle A _{ \text{rect}} = 14\: [/tex]
14 means that the rectangle has 14 squares
so,
[tex] \displaystyle 1 \: \text{square} \implies 4 \: { \text{yards}}^{2} \\ 14 \: \text{square} \implies 14 \times 4 \: { \text{yards}}^{2} \\ \qquad = 56 \: { \text{yards}}^{2} [/tex]
Question-5:likewise
from the graph we acquire that
length:6 wide:3.5likewise
[tex] \displaystyle A _{ \text{rect}} = 6 \times 3.5 \: [/tex]
simplify multiplication:
[tex] \displaystyle A _{ \text{rect}} = 21[/tex]
so,
[tex] \displaystyle 1 \: \text{square} \implies 16 \: { \text{yards}}^{2} \\ 21 \: \text{square} \implies 16 \times 21 \: { \text{yards}}^{2} \\ \qquad = 336\: { \text{yards}}^{2} [/tex]
Question-6:length:6width:2.5likewise
[tex] \displaystyle A _{ \text{rect}} = 6 \times 2.5 \: [/tex]
simplify multiplication:
[tex] \displaystyle A _{ \text{rect}} = 15[/tex]
so,
[tex] \displaystyle 1 \: \text{square} \implies 25 \: { \text{yards}}^{2} \\ 15 \: \text{square} \implies 15 \times 25 \: { \text{yards}}^{2} \\ \qquad = 375\: { \text{yards}}^{2} [/tex]
Solve for the value of e.
please help
Answer:
44
Step-by-step explanation:
Angles that form a straight line add up to equal 180 degrees
Hence, e + 8 + 3e - 4 = 180
^ ( note that we just created an equation that we can use to
solve for e )
Using the equation created, we then solve for e
e + 8 + 3e - 4 = 180
step 1 combine like terms
3e + e = 4e
8 - 4 = 4
we now have 180 = 4e + 4
step 2 subtract 4 from each side
180 - 4 = 176
4 - 4 cancels out
we now have 176 = 4e
step 3 divide each side by 4
176 / 4 = 44
4e / 4 = e
we're left with e = 44
What is the value of -4d2 + 15d2 = 5 for d = 1?
Answer:
Step-by-step explanation:
-4(1)^2 + 15(1)^2 =5
-4 + 15 = 5
since the equation is false, 15-4 does not equal 5 , then something has been left off the equation. look carefully , did you forget anything?
Vincent is building a rectangular pen for his new pet rabbit. The area of the pen is 36 square feet. The length of the fence is 5 feet longer than its width. Write the equation that can be used to model the relationship between the area of the gate and side length
Answer:
w² + 5w = 36
Step-by-step explanation:
Since the pen is a rectangle, its area, A = lw where l = length and w = width.
Since the length of the fence is 5 feet longer than its width, we have l = w + 5
So, A = lw = (w + 5)w = w² + 5w
Since A = 36 ft², we have that
36 = w² + 5w
w² + 5w = 36
Which is the required equation.
Please help me I need help
Jill, an employee at Old Navy, budgets 13 of her yearly salary for clothing. Jill's total clothing bill for the year is $8,220. What is her yearly salary?
The question is incorrect. Please see the correct question
Jill, an employee at Old Navy, budgets 1/3 of her yearly salary for clothing. Jill's total clothing bill for the year is $8,220. What is her yearly salary
Answer:
24,660
Step-by-step explanation:
Let y represent her yearly salary
1/3 × y
1/3y
1/3y= 8220
Cross multiply
y= 8220 ×3
= 24,660
Hence Jill yearly salary is 24,660
Which expression is equivalent to 4 (3x – 2)?
O A. 7x-2
O B. 7x + 2
O C. 12x - 2
O D. 12x - 6
O E 12x– 8
Answer:
E is the answer
hope this helps
have a good day :)
Step-by-step explanation:
can somebody please plz tell me the answer to this question or else I will be grounded. the window has the shape of a kite how many square meters of glass were used to make the window
Solve the equation d divided by 1.2 is equal to 6 PLS HELPP
Answer:
The answer is 7.2.
Step-by-step explanation:
Have a great day.
Answer:
d = 7.2
Step-by-step explanation:
all you have to do is multiply 1.2 by 6 to get your answer
[tex]1.2 \times 6 = 7.2[/tex]
Need help ASAP it’s due at 11:10
Answer:
number 1: i wont guve you the answee but its either A or C thats the hint because your subtracting becasue it says your losing 950 a year so the adding is not it so its not B neither D it has to be either A or C.
number 2: its A
number 3: u think its D im not sure because its either B or D but im pretty sire its D.
number 4: its D there yiu have it hope it helped.
An item is regularly priced at $31 . It is on sale for 65% off the regular price.
65% off means the sale price would be 35% of the original price ( 100% - 65% = 35%)
To find the sale price multiply the original price by 35%
31 x 0.35 = 10.85
The sale price is $10.85
Estimate the perimeter and the area of the shaded figure to the nearest tenth.
-Please help me-
Answer:
Perimeter = 12+4pi
Area = 16+8pi
Step-by-step explanation:
Description of the assumed shape:
A rectangle 2 x 8 superimposed on a semi-circle of radius 4.
Perimeter:
P = 2+8+2+(4)(pi) = 12+4pi
Area :
A = 2*8 +(pi)4^2/2 = 16 + 8pi
Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of Earth? (Use 3.14 for π)
Answer: Circumference of Earth= 25120 miles
Step-by-step explanation:
Given: The circumference of a circle can be found using the formula [tex]C = \pi d[/tex], where d= diameter of the circle.
Earth's diameter = 8000 miles (approx)
The circumference of circle = [tex]3.14\times 8000[/tex] [substitute values in formula]
The circumference of circle = 25120 miles (approx)
Hence, the circumference of Earth= 25120 miles (approx)
Pls help I need help with #11 pls I need a answer and a explanation pls and thank you!
Answer:
15 = t
Step-by-step explanation:
3 = t - 12
3 + 12 = t
15 = t
Answer:
C:15 if were going off t
Step-by-step explanation:
if you switch around the equation a bit you get t-12=3 now what number minus 12 equals three thats what your trying to find so the only logical answer is C because 15-12=3 so t=15
WHATS THE VOLUME PLS HELP
Answer:
Step-by-step explanation:
Volume is the quantity of three dimensional enclosed by a closed surface , for example , the space that a substance or 3D shape excipients or contains .Volume is often quantified numerically using the SI derived unit , the cubic metre.
Are HMS is the same as Are HSM, since they use the same letters and points on the circle
?
True or false ?
Step-by-step explanation:
its "false" they r not same.
stay safe healthy and happy.
Create a polynomial function in factored form that crosses through the x-axis at -2 and touches the x-axis and turns around at 4.
Given:
A polynomial crosses through the x-axis at -2 and touches the x-axis and turns around at 4.
To find:
The polynomial function in factored form.
Solution:
If the graph of a polynomial intersect the x-axis at [tex]x=a[/tex], then [tex](x-a)[/tex] is a factor of the polynomial.
If the graph of a polynomial touches the x-axis at [tex]x=b[/tex], then [tex](x-b)[/tex] is a factor of the polynomial with multiplicity 2. In other words [tex](x-b)^2[/tex] is the factor of the polynomial.
It is given that the polynomial crosses through the x-axis at -2. So, [tex](x+2)[/tex] is a factor of required polynomial.
It is given that the polynomial touches the x-axis and turns around at 4. So, [tex](x-4)^2[/tex] is a factor of required polynomial.
Now, the required polynomial is:
[tex]P(x)=(x+2)(x-4)^2[/tex]
Therefore, the required polynomial is [tex]P(x)=(x+2)(x-4)^2[/tex].
I Need Help I Don't Understand This
Finding a final amount in a word problem on exponential growth or decay
A certain forest covers an area of ^2. Suppose that each year this area decreases by 8.5%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.
is 100/2 a rational number
Answer:
Yes, 100/2 is a rational number.
Answer:
its a rational number because its written as a fraction
hope this helps
have a good day :)
Step-by-step explanation:
Could someone please help me with the surface area of this prism
Answer:
it is in the picture above
Step-by-step explanation:
please give branliest if you want
find the value of x for the question.
Answer:
5
Step-by-step explanation:
Both angles together will equal as they are opposite of each other
therefore
15x=16x-5
15x+5=16x
5=x
Answer:
x = 5
Step-by-step explanation:
The two angles are congruent because of the Vertical Angles Theorem. Since we now know that they're congruent, we can set up an equation to like this:
15x = 16x - 5
Now that we have an equation, we can solve for x.
First, we subtract 15x from both sides. Now we're left with an equation that should look like this:
0 = x - 5
Now we add 5 to both sides to get our solution. It should look like this.
5 = x
And there's your answer! Hope this helps.
I ready diagnostic time!!
Answer:
I think choose (D)
[tex] \frac{4}{10} and \frac{10}{25} [/tex]
Solve for n: 2^3n = 4
Answer:
n=1/2
Step-by-step explanation:
helpppppppp plzzzzzzzzzzzzzzzzzzzz
Answer:
14 sq units
Step-by-step explanation:
2 units by 7 units is 14 square units
Angle 1 and Angle 2 are supplementary. Which equation could you use to find the measure of Angle 2?
Angle 1: 67°
Angle 2: x degrees
Answer: 67 + x = 180
Step-by-step explanation:
Since the angles are supplementary, together they'd add up to 180. Since we do not know the degrees of Angle 2, we arrange x in the equation.
Hope this helps you! Good luck! <3
If there are 3.28 feet in 1 meter, how many yards are in 8 meters? Round answer to the nearest tenth. (Hint: This problem requires two conversions.)
Answer:
8.7
Step-by-step explanation:
What is the area of the figure below?
15 in 2
20 in 2
30 in 2
25 in 2
Q.2
What is the area of the trapezoid?
9 ft 2
12 ft 2
13 ft 2
13.5 ft 2
Answer:
30 in 2
Step-by-step explanation:
What is the area of the figure below?
The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus
$18 per ticket to the planetarium. The second day they paid $95 for transportation plus $15 per ticket to
the geology museum. Write an expression to represent the total cost for two days for the n members of
the club.
An expression that represents the total cost in dollars for two days for the n members of the club is given
by
HARD! [Ma
Answer:
145 + 33n
Step-by-step explanation:
Let
n = number of members in the club
Day 1:
Cost = 50 + 18n
Day 2:
Cost = 95 + 15n
Total cost two-day field trip = day 1 + day 2
= (50 + 18n) + (95 + 15n)
= 50 + 18n + 95 + 15n
= 145 + 33n
Total cost two-day field trip = 145 + 33n
An expression that represents the total cost in dollars for two days for the n members of the club is given by 145 + 33n