Answer:
y=-8
Step-by-step explanation:
2y+16=0
2y=-16
y=-8
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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5
Amelia and Roger both
found the volume of the sphere
below. Determine which
student correctly determined
the volume of the sphere.
3 cm
AMELIA
113.10 cm
ROGER
14.14 cm
Answer: the last one
Step-by-step explanation:
(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
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:
Use the table below.
If Sally is trying to keep her dinner under 500 calories, can she have a broiled sirloin, baked potato and salad and ½ cup fruit cocktail?
No
Yes
Answer:
Yes
Step-by-step explanation:
1/2 fruit cocktail—>57
broiled sirloin—>240
baked potato—>145
442 is the total so yes
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.
Which graph represents -x+ 8y > - 24
Kind of need a picture to help answer the question.
Which best describes the y coordinate of a point
Answer:
The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). In this example, the value "5" is the Y Coordinate. Also called "Ordinate"
Step-by-step explanation:
Stephanie and alejandro
were planning thier wedding.
Stephine saved up four times.
more money than alejandro
because he lost his job at walmart. Together $15,600 How much did each one save ?
steps ?
Answer:
Stephanie saved
Step-by-step explanation:
x+4x=15600
5x=15600
divide by 5 on both sides
you get 3120
since stephanie got 4 times more, you multiply 3120*4 and get 12480
therefore, Alejandro saved 3120
: )
The value of x 3y, for x = -2 and y = 3, is -24. True False
Answer:
true
Step-by-step explanation:
x^3 y when x = -2 and y = 3
(-2)^3 * 3
-8 *3
-24
This is true
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
of the following numbers, which has the most factors of 3?
a) 81
b) 270
c) 999
d) 3333
Answer:
81 has the most factors of 3
Step-by-step explanation:
To conclude which of the following options has the most factors of 3, take each of the number's prime factorization, which will help us solve the problem.
( 1 ) 81 is a composite number and is 9 squared. Knowing that 3 squared = 9, we can say that the prime factorization of 81 = 3 [tex]*[/tex] 3 [tex]*[/tex] 3 [tex]*[/tex] 3, which can also be denoted as 3⁴.
( 2 ) 270 is a composite number. The exponents in the prime factorization are 1, 3, and 1, and therefore it's prime factorization is - 3 [tex]*[/tex] 5 [tex]*[/tex] 3 [tex]*[/tex] 2 [tex]*[/tex] 3, composed of 3 3s.
( 3 ) If we put all of it together we have the factors 3 x 3 x 3 x 37 = 999. It can also be written in exponential form, with 3 to the power of 3 - hence having 3 factors of 3.
And finally the value 3333 has the prime factorization of 3 [tex]*[/tex] 11 [tex]*[/tex] 101, and as you can see it has 1 factor of 3. 81, having 4 factors of 3, is present with the most factors, and therefore is our solution.
Number 81 has the most number of factor 3. Option A is correct.
A number from the options to be determined that has the most number of factor 3.
factors can be defined by splitting the value into multipliable values.
Here,
Factors of 81 = 3,3,3,3 Number of factor 3 = 4
Factors of 270 =2,3,3,3,5 Number of factor 3 = 3
Factors of 999 =3,3,11 Number of factor 3 = 2
Factors of 3333 = 3,11 Number of factor 3 = 1
As per the above comparison, 81 has the most number of factor 3.
Thus, Number 81 has the most number of factors 3.
Learn more about Factors here:
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The diagram below shows ΔPQT; its altitude, which is segment PR ; and some of its measurements.
(a) What is mTPR? Show or explain how you got your answer.
For Parts (b), (c), and (d), write the exact answer in simplified radical form.
(b) What is the length, in inches, of segment PR? Explain your answer.
(c) What is the length, in inches, of segment TR? Explain your answer.
(d) What is the length, in inches, of segment PQ? Explain your answer.
Answer:
i need some poitns plssss
Please help it’s timed
Answer:
y=45
x=90
Step-by-step explanation:
x is a right angle, y is vertical from 45 degrees making it congruent to it.
Answer:
C: x=90 y=45
Step-by-step explanation:
The place where x is is obviously a right angle therefore, it is 90. Then here is a diagonal line cutting through the 90 degrees in half. 90/2=45.
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.
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
What is the equation of a horizontal line passing through the point (-3, 8)?
Ox=-3
Oy=8
Ox= 5
Oy=-11
Answer:
Y=8
Step-by-step explanation:
A horizontal line is going to be parallel to the x-axis, so you need to use your y-value to determine the equation of the line. Your y-value in the coordinate (-3,8) is 8, so y=8
Answer: y = 8
Step-by-step explanation: Whenever we are given a line and the problem says that it's horizontal or a flat line, we know that the equation of the line will always be in the form "y = a number".
Since we are given that the y-coordinate is 8, that means that
the equation of this line will be y = 8.
Solve for x: 3x − 2 > 5x + 10.
Answer: hopefully this is what you need
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality form:
X < -6
Interval Notation:
(-♾, -6)
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:
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:
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. :)
Which has a value closest to 9?
✓99
V83
VIO
V63
Answer:
[tex]\sqrt{83\\}[/tex] has the closet value to 9 bc its 9.11
Write a linear equation from a slope and a point
Starting the first week of January, Mari puts $1.50 in her coin bank every week. How much money will she have at the end of the year?
A.
$18.00
B.
$63.00
C.
$78.00
D.
$72.00
BRAINLIEST ANYTHING!!
Answer:
C
Step-by-step explanation:
52 weeks of the year * 1.5
Answer:
The answer is C $78.00 because 52 times 1.50 equals 78 so if you couldn't the amount of weeks from january to december 31 it equals 52.
Step-by-step explanation:52 times 1.50 =78
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 :)
Determine whether each statement is true or false.
(FINALEXAM)
Answer:
1. False
2. True
Step-by-step explanation:
A circle has a radius of 5/3 units and is centered at (9.2 -7.4)
Write the equation of the Circle.
Answer:
(x - 9.2)^2 + (y + 7.4)^2 = (5/3)^2
Step-by-step explanation:
We start with (x - h)^2 + (y - k)^2 = r^2. The center is (h, k) and the radius is r.
Then we have:
(x - 9.2)^2 + (y + 7.4)^2 = (5/3)^2
What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?
Answer:
Volume is 3.05m³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
Step one
The formula for the volume of a sphere is expressed as
V=4/3πr³
Step two
Given data
Diameter d = 1.8m
Radius r = d/2= 1.8/2= 0.9m
Step three
Substituting our given data we have
V= 4/3*3.142*0.9³
V= 4/3*3.142*0.729
V= 9.162/3
V=3.05m³
1. A space figure with two parallel and congruent bases can be any of these except a
A cone
B prism
c cylinder
Dcube
Answer:
C. cylinder
Step-by-step explanation:
i hope this help
Which of the following inequalities is correct?
Answer:
a < b < c
Step-by-step explanation:
a is -4, which is less than b, at 1, and c at 7.
If this answer is correct, please make me Brainliest!
Answer:
the answer is a it cant not be b,c
