Answer:
HOK =167
Step-by-step explanation:
HOK = HOI +IOJ + JOK
= 44+46+ 77
=167
Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).
Answer:
y = - 8x² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, 6), thus
y = a(x - 0)² + 6, that is
y = ax² + 6
To find a substitute (- 1, - 2) into the equation
- 2 = a(- 1)² + 6, that is
- 2 = a + 6 ( subtract 6 from both sides )
- 8 = a
y = - 8x² + 6
The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]
A quadratic function is represented as:
[tex]y = a(x - h)^2 + k[/tex]
The vertex of the quadratic function is given as:
[tex](h,k) = (0,6)[/tex]
So, we have:
[tex]y = a(x - 0)^2 + 6[/tex]
This gives:
[tex]y = ax^2 + 6[/tex]
The quadratic function passes through (-1,-2).
So, we have:
[tex]-2 = a(-1)^2 + 6[/tex]
[tex]-2 = a + 6[/tex]
Subtract 6 from both sides
[tex]a = -8[/tex]
Substitute -8 for a in [tex]y = ax^2 + 6[/tex]
[tex]y = -8x^2 + 6[/tex]
Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]
Read more about quadratic functions at:
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Find the number of positive numbers less than 2020, which can be written as the sum of five consecutive positive numbers.
Integers*?
Let [tex]n[/tex] be the smallest of these five consecutive integers. Then the sum of the five consecutive integers is [tex]\frac{5(2n+4)}{2}=5n+10,[/tex] so we seek the largest positive integer [tex]n[/tex] such that [tex]5n+10<2020.[/tex] Solving this inequality, we find that [tex]n<402,[/tex] so there are [tex]\boxed{401}[/tex] such positive integers.
help me plz ill mark u brailiest
Answer:
The product of 21 and 18
Step-by-step explanation:
When you multiply the word is product
The product of 21 and 18
Answer:
the answer is H
Step-by-step explanation:
find the length of the unknown side round your answer to the nearest 10th
Answer:
4.4 ft
Step-by-step explanation:
The sides of a right triangle are "tied together" mathematically by an equation called the Pythagorean theorem, which says: in any right triangle, the relationship between the two sides that make the right angle (we'll call them a and b) and the side across from it (c) is
[tex]a^2+b^2=c^2[/tex]
Let's sustitute these for the values we have in our problem (measured in feet)
[tex]9^2+a^2=10^2\\81+a^2=100\\a^2=19\\a=\sqrt{19}[/tex]
19 is between the perfect squares [tex]4^2=16[/tex] and [tex]5^2=25[/tex], so [tex]\sqrt{19}[/tex] must be between 4 and 5, a little bit closer to 4. Punching the expression into the calculator confirms this with a value of [tex]\sqrt{19}\approx4.3588[/tex] which we can round to 4.4 ft.
please help!!! i really need the answer to this question, ill mark you as brainleist
Hey there! I'm happy to help you! :)
We see that there are 160 songs in total. Let's split them up into groups of rock, country, and pop.
ROCK
Our problem says that 3/8 of the songs are rock songs. We know that we have 160 songs. We just need to multiply 3/8 by 160 and we will have the number of rock songs.
3/8*160=60
Therefore, we have 60 rock songs.
COUNTRY
We see that 25% of our songs are country songs. 25% is the same thing as 1/4, or 0.25. We can multiply this by our total number of songs to see how many are country.
0.25(160)= 40
We have 40 country songs.
POP
All we have in the problem is that the remaining songs are pop. The nice thing is is that we already know how many rock and country songs we have, so we can simply subtract those from 160 and we will then be able to tell how many pop songs there are.
160-60-40= 60
Therefore, there are 60 pop songs.
I hope that this helps you! Have a wonderful day!
Which graph represents -x+ 8y > - 24
Kind of need a picture to help answer the question.
Determine whether each statement is true or false.
(FINALEXAM)
Answer:
1. False
2. True
Step-by-step explanation:
Find the area of a circle whose circumference is 87 m.
A. 4 m 2
B. 8 m2
C. 16 m2
D. 64 m2
Answer:
None of those are right, the answer is about 602.32 m2
Step-by-step explanation:
which store will she purchase the rug from
Circle O has a circumference of approximately 28.3 cm. What is the approximate
length of the radius?
Answer:
4.5 cm
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r where r is the radius
28.3 = 2 * (3.14) *r
28.3 = 6.28 r
Divide each side by 6.28
28.3/6.28 = r
4.506369427=r
The approximate length of the radius is 4.5 cm
How many triangles exist with the given angle measures?
Answer: An infinite number
We're given angles adding to 180 degrees, so we can generate as many similar triangles with these angles as we like. They'll all have the same shape but different sizes.
Answer:
1
Step-by-step explanation:
Solve the following system of equations using any method you want.
y + 2x = 2
2x - 5y = 14 please help
Answer:
y = - 2, x = 2
Step-by-step explanation:
Remove x and solve for y
2x - 2x - 5y - y = 12
-6y = 12
y = - 2
Substitute y back into the equation
-2 + 2x = 2
2x = 4
x = 2
A stick 1 meter long casts a shadow 1.5 meters long. A building casts a shadow 17 meters long. How tall is the building (to 2 decimal places)
Find the reference angle of 14 pie over 11
Answer:
Step-by-step explanation:
reference angle=(14 π)/11-π=(14-11)π/11=3π/11
if the relationship is proportional, what is the missing value from the table?
A 8
B 9
C 12
D 14
Answer:
C 12
Step-by-step explanation:
16 × 6 ÷ 8 = 12
check answer: 24 × 12 ÷ 16 = 18
Find the
volumes of the two rectangular prisms
described in the table. If you divide
each dimension of the larger prism
by 2, how does the new volume
compare to its original volume?
Explain.
Answer:
1. 135 2. 16.875
Step-by-step explanation:
1. 5 x 4.5 x 6 = 135
2. 2.5 x 2.25 x 3 = 16.875
A bag contains 12 red, 30 blue, 20 green, 10 yellow, and 8 black marbles. Nancy chooses 1 marble from the bag. What is the probability that the marble is red, blue, or black?
A.18
B.38
C.58
D.78
Step-by-step explanation:
Total marbles = 12 + 30 + 20 + 10 + 8 = 80
Probability = 12 + 30 + 8 = 50
= 50 / 80 = 5 / 8
What is the area of one of the triangular faces?
4 in
3 in
7 in
7 in
5 in
4 in
5 in
Answer:6
Step-by-step explanation:
I got it corrected on the assignment
Answer:
it is 6
Step-by-step explanation:
the person above me is right :) have a nice day
(◍•ᴗ•◍)✧*。
(9x2+3x-5) - (3x2+4x-10)
Answer:
39
Step-by-step explanation:
I'm assuming x is supposed to be a multiplication sign.
You need to use PEMDAS for this:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
(9x2+3x-5)-(3x2+4x-10)=
(18-15)-(6-40)=
3-(-36)=
3+36=
39
Which of the following describe a simple event?
Answer: B
Step-by-step explanation:
!!!!!!NEED HELP !!!!!! y=-50x + 750 which of the following does NOT match the equation shown.
Answer:
I think its B
Hope it helps :/
Answer:
y=10x-50
Step-by-step explanation:
Ken baked a pan of brownies for a potluck. The number of squares he cuts the brownies into will depend on the number of people attending the potluck. s = the number of squares Ken cuts the brownies into. p = the number of people attending the potluck. Which of the variables is independent and which is dependent?
Answer:
P is the independent variable while S is the dependent variable
Hope this Helps :)
Which could be the entire interval over which the function, f(x), is negative?
(-8, -2)
(-8, 0)
(-infinity, -6)
(-infinity, -4)
The interval over which the function f(x) is negative is (-infinity, -4) .
Given,
The values of f(x) for corresponding x .
Here,
From the table,
x = -8 ; f(x) = -16
x = -6 ; f(x) = -8
Thus from the data given in the table it is clear that the function f(x) will be negative if we decrease the value of x .
Thus f(x) will be negative for the values which are smaller than -8 .
Now,
When
x = -4 ; f(x) = 0
x = -2 ; f(x) = 8
Thus f(x) changes its sign at x = -4.
So,
Interval in which f(x) will be negative : (-infinity, -4) .
Know more about functions,
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Please Help Now Running out of time! In Sal’s sock drawer, there are 2 red, 2 blue, 2 yellow, 2 black, and 2 green socks. If he randomly picks one sock from the drawer, and then another, which fractions should Sal multiply to find the probability of choosing a pair of green socks?
Answer:
Step-by-step explanation:
C
Answer:
C
Step-by-step explanation:
2/10 1/9
5 + w + 21
What is the answer helped me please
Answer:
w+5=7
Step-by-step explanation:
The volume of a rectangular prism is v = Lwh, where v is the volume, L is the length, w is the width, and h is the height. Rewrite this equation with w solved in terms of v, l, and h.
Answer:
w=v/lh
Step-by-step explanation:
lwh=v
To isolate w, we'd have to divide both sides by (lh)
Therefore, w = v/lh
Hope this helped and have a good rest of your day!
Which fraction is greater than 3/5
4/6
6/12
3/8
4/10
Answer:
a.) 4/6
Step-by-step explanation:
3/5 = .6
4/6 = .666666666667
6/12= 0.5
3/8= .375
4/10= .4
Answer: 4/6
Step-by-step explanation:
IT IS THE BIGGEST. :)
i have alot of work to dk sk if anyone could help pleas
All in the attachment :)
and don't complain about my drawing skills ;)
Someone please help me. I’m not good at mah but I would be thankful for ur help.
Answer:
1. 44 inches
hope this helps :)
What is the area of the triangle shown below?
Answer:
48
Step-by-step explanation:
Split it into 2 right triangles flip one around and you have a rectangle who's area is equal to 10x6.
a=6
c=2
b=?
Solve for b: