Answer:
x-coordinate of the vertex: h = 6.
Step-by-step explanation:
The axis of symmetry is an imaginary line that divides the graph of a parabola into two congruent parts. The vertex of a parabola, (h, k) is the point where the graph intersects the axis of symmetry.
In the standard form of quadratic equation, y = ax² + bx + c:
[tex]\large \sf{axis\:of\:symmetry:\:x\:=\:\frac{-b}{2a}}[/tex]
In the vertex form of quadratic function, y = a(x - h)²+ k:
[tex]\large \sf{axis\:of\:symmetry:\:h\:=\:\frac{-b}{2a}}[/tex]
Hence, the axis of symmetry is the point where x = h.
Given these definitions, we can infer that the x-coordinate of the axis of symmetry is the same as the x-coordinate of the vertex, where h = 6.
What is the scale factor of the dilation?
Step-by-step explanation:
Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. Hope this helps :)
a patient is prescribed motrin 800mg, 1 tablet 3 times daily. What would the days supply be for 30 tablets?
Based on the number of tablets to be taken per day, the days supply for 30 tablets would be 10 days.
The patient is to take a tablet 3 times a day which means that they are to take:
= 1 x 3
= 3 tablets daily
If they have 30 tablets, this will last:
= Number of tablets / Tablets per day
= 30 / 3
= 10 days
In conclusion, it will take 10 days for the tablets to run out.
Find out more at https://brainly.com/question/13043215.
Classify the quadrilateral, Explain your reasoning. Thank you!!
Answer: y=7, x=2
Step-by-step explanation:
∠Q+∠P=180° (∠s between 2 // lines)
97°+(12y-1)°=180°
12y-1=83°
12y=84
y=7
5x+6=8x (Iso triangle)
x=2
9. The height of a triangle is 3 inches less than twice the length of its base. If the total area
of the triangle is 7 square inches, then find the lengths of the base and height.
Check the picture below.
[tex]\textit{area of a triangle}\\ A = \cfrac{1}{2}bh~~ \begin{cases} A = area\\ b = base\\ h = height\\[-0.5em] \hrulefill\\ A = 7\\ h = 2b - 3 \end{cases}\implies 7 = \cfrac{1}{2}b(2b-3)\implies 7=\cfrac{b(2b-3)}{2} \\\\\\ 14 = b(2b-3)\implies 14 = 2b^2-3b\implies 0 = 2b^2-3b-14[/tex]
[tex]0 = (b+2)(2b-7)\implies\blacktriangleright b= \begin{cases} -2\\ \frac{7}{2}~~\textit{\large \checkmark} \end{cases}\blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{h = 2b - 3}\implies h = 2\left( \frac{7}{2} \right)-3\implies h = 7 - 3\implies \blacktriangleright h = 4 \blacktriangleleft[/tex]
What is the weight of a dry substance in 150 g of a 3% substance solution?
4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.
Find the equation of the line which has slope 7 and y-intercept 2. Give your answer in the form y=mx+b
Answer:
y=7x+2
Step-by-step explanation:
Since it is in slope intercept form, you can simply subsitute the m(slope), into 7, and the b(y-intercep) into 2.
Hope it helped!
The equation of the line is y = 7x + 2.
What is the equation of a line?The equation of a line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
m = 7 and c = 2
The equation of a line is,
y = mx + c
y = 7x + 2
Therefore, the equation of the line is y = 7x + 2.
More about the equation of line link is given below.
https://brainly.com/question/21511618
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29 years ago, James put some money into a savings account with 8% interest compounded quarterly (4 times a year). He just remembered it and saw that there was now $7328 in it. Find the original amount he invested.
Answer:
$0.97
Step-by-step explanation:
7328*100/108^(4*29)
a bunch of math later, with rounding...
0.97
*note-may be wrong
3. 13.2 -0.006
How would you show the work
Answer:
13.194
Step-by-step explanation:
13.2
- 0.006
-----------------
Just add zeros on the part where there are no numbers
13.200
- 0.006
------------------
13.194
on a photograph an ant is enlarged at scale 25:1 In the photo the ant leg is 15 cm what is the actual length of the ants leg
Answer:
0.6 cm
Step-by-step explanation:
15/25=0.6
Answer:
0.6 Is the answer
Step-by-step explanation:
Hope this helped ¬∪ω∪¬
Please any math experts helps thank you
Answer:
[tex]\frac{t^2-16}{t^2-8t+16}[/tex]
We can factorise the numerator which the difference of squares formula:
[tex]x^2-y^2=(x+y)(x-y)[/tex]
---------------------------------
[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{t^2-8t+16}[/tex]
Next, factorise the denominator:
[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{(t-4)^2}[/tex]
[tex]\frac{(t+4)(t-4)}{(t-4)(t-4)}[/tex]
Cancel out the common factor of (t-4):
[tex]\frac{t+4}{t-4}[/tex]
Evaluate x? - x + 8 for x = -2.
=
Answer:
tan
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Answer:
6
Step-by-step explanation:
X+8 first substitute x
-2+8 solve
=6
Find the product.
-8x5y2 · 6x2y
-8x10y2
-8x7y3
-48x7y3
-48x10y2
Find the product.
(3a4 + 4)2
6a4 + 8
9a8 + 16
9a8 + 24a4 + 16
9a16 + 24a4 + 16
Answer:
4 better explanation inbox
Step-by-step explanation:
Billie bikes 9 miles in 45 minutes. At this rate, how many miles can he bike in 90 minutes?
Answer:
18 miles
Step-by-step explanation:
9 miles : 45 minutes
? miles : 90 minutes
45 x 2 = 90 minutes
9 x 2 = 18 miles
Determine the greatest common factor of the numbers 24 and 56
Answer:
8
Step-by-step explanation:
yw :)
Mr. Peate is building a rectangular fence around his house. The fence will be 32 feet long and 29 feet wide. What will be the perimeter of the fence? The perimeter will be ?
Answer:
112
Step-by-step explanation:
32*2+29*2=112
Help help help pls!
How do i do this, pls i need help asap-
Answer:
Step-by-step explanation:
Hola
Write an equation for the nth term of the arithmetic sequence −3, 2, 7, 12, Then find a50.
The equation is =___
Answer:
Pretty much f(n)=-3+5n-1
Step-by-step explanation:
for the 50th term 242
What is the value of x in the solution to this system of equations?
y = x + 1
y = 5x + 13
Step-by-step explanation:
y=x+1
y=5x+13
=13x/1
=5x/x
A parabola can be drawn given a focus of (-11, -4) and a directrix of x=11. Write the equation of the parabola in any form.
Answer:
Step-by-step explanation:
This will open to the left and the vertex will be at (0, -4).
Equation us (y + 4)^2 = -4*-11x
44x = (y + 4)^2
Subtract a4 + 4a²b2 – 2b^4 from –3a^4 + 5a²b2 + 2b^4 - Your answer should be a polynomial in standard form.
Answer:
4a^4-4b^4-5a^2b^2
Step-by-step explanation:
find common variables and subtract/add
a^4+3a^4=4a^4
-2b^4-2b^4=-4b^4
0-5a^2b^2=-5a^2b^2
apply
4a^4-4b^4-5a^2b^2
Solve the system. Estimate the solution first. Enter whole numbers for the estimated solution and
improper fractions in simplest form for the algebraic solution.
6x + y = 2
1 x - 4y = 2
The estimated solution is (__,__)
Answer:
using substitution method you'll be able to get the value of x then after finding x
150-5r is greater than or equal to 87.5
Find the value of r?
Answer:
R=12.5
Step-by-step explanation:
Round 909.09 to the nearest hundredth
Answer:
909.1
The 0 behind the decimal point is the tenth, so the digit behind the 0 is the hundredth, we round the 9 upward Which would be ten, so the ten would become 1 tenths making it be, 909.1
Javad had a mix of yellow and red jellybeans as shown on the
graph. If there are 40 total jellybeans in his bag, how many
are red?
Hi there!!
The ratio of red jelly beans to yellow is 7:3.
There are 40 jelly beans.
7+3 is 10.
40/10 is 4.
7*4 is 28.
Therefore, 28 jelly beans are red.
Simplify: 5 + p > 3
p < 8
p < -2
p > 8
p > -2
Answer:
[tex]p>-2[/tex]
Step-by-step explanation:
[tex]5+p>3\\\\5+p-5>3-5\\\\p>-2[/tex]
Answer:p < -2
Step-by-step explanation:
What is the slope of the line y = -4?
can you please help me
Answer:
84000
Step-by-step explanation:
just searched it up plus you have to multiply it
There are 54 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/3 of the remaining students gave their speeches. How many
Answer:
18 student gave there speech yesterday
36 students gave there speech today
Step-by-step explanation:
54 total
54 * 1/3 = 18 student gave there speech yesterday
54*2/3 = 36 students gave there speech today
Hope this helps!
(Please mark ask brainiest)
Thanks!
-
3-(2n + 5)
3 + (2n + 5)-1
Answer:
I think it's 3n+7
-------
3n+8
Step-by-step explanation:
2) Subtract and simplify. 11 7\10 − 7 3\10 =
Answer:
4 2/5
Step-by-step explanation:
11 7/10
- 7 3/10
----------------
4 4/10
4 4/10 = 4 2/5