Given:
The expression is:
[tex]x^2-3x+4+2x^2-x-12[/tex]
To find:
The terms and like terms in the expression.
Solution:
Terms: Variables, constants and product of variable and constants are known as terms which are separated by addition sign "+".
Like terms: The terms which contain same variables with same power are known as like terms.
The given expression is:
[tex]x^2-3x+4+2x^2-x-12[/tex]
It can be rewritten as:
[tex]x^2+(-3x)+4+2x^2+(-x)+(-12)[/tex]
Terms are [tex]x^2,-3x,4,2x^2,-x,-12[/tex].
Like terms are [tex]x^2,2x^2[/tex] and [tex]-3x,-x[/tex] and [tex]4,-12[/tex].
f(x)=-2(x-4)^2+8 find the vertex
Set the polynomial equal to
y
to find the properties of the parabola.
y = -3(x+4)^2 - 8
Use the vertex form, y = a (x-h)^2 + k, to determine values of a,h and k
a = -2
h = -4
k = -8
Find the vertex (h,k)
(-4, -8)
As per the vertex form of a quadratic equation, the vertex of the given quadratic equation is (4, 8).
What is a quadratic equation?"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."
What is the vertex form of a quadratic equation?"The vertex form of a quadratic equation is:
y = a(x - h)² + k
Here, a, h, and k are real numbers, where a ≠ 0. x and y are variables.
Here, (h, k) is the vertex and (x, y) represents a point on the graph of the given equation."
Here, the given quadratic equation is:
y = f(x) = -2(x - 4)² + 8
By comparing it with the vertex form of a quadratic equation, we get:
h = 4, y = 8.
Therefore, the vertex(h, k) of the given quadratic equation is (4, 8).
Learn more about the vertex form of a quadratic equation here: https://brainly.com/question/27255597
#SPJ2
given the graph of g (x) below determine g (1)
Answer:
-2
Step-by-step explanation:
find the circumference of a circle with a radius of 9.8 in. (urgent)
Answer: 61.58
Step-by-step explanation:
C = 2 π r = 2 · π · 9.8
π = pi
radius times pi (3.14) times 2 (because two radius makes the diameter)
9.8 times 3.14 times 2 = 61.57522in
Now we round.. 61.58
:) I hope this helps!
1. أوجد احداثيي كل نقطة من النقط E,a,b,c,d,
حيث :
Oc=0A+ob
OB=2j
OE = 2AC ، OD = - 2i+3
2. عين مركبات كل شعاع من الأشعة التالية: 3BC+AB, AB+-3BC
Answer:
Um what’s this language?
Step-by-step explanation:
what is 22% of 45
what is 32.5% of 250
Answer:
22%*45=
(22:100)*45 =
(22*45):100 =
990:100 = 9.9
32.5%*250=
(32.5:100)*250 =
(32.5*250):100 =
8125:100 = 81.25
Answer:
1) 9.9
2) 81.25
Step-by-step explanation:
1)
22% = 0.22
45(0.22) = 9.9
2)
32.5% = 0.325
250(0.325) = 81.25
Questions about the domain (time in minutes) of the table of values:
(a) What is the minimum (lowest) time value in minutes?
(b) What is the maximum (highest) time value in minutes?
(c) What is the domain (all the time values on the x-axis)?
Need Help?
*what shape is the cross section
(giving brainliest if correct !)
Answer:
Triangle!!
Step-by-step explanation:
If you cut the pyramid in half, it will leave triangles. Hope this helps!
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
p=9
Step-by-step explanation:
Leon had 84 paper clips. He gave 3 4 of them to Joe. Joe gave 2 7 of what he received to Justin. How many paper clips did Justin get?
Please explain it in a statement way!
Given:
Leon had 84 paper clips.
He gave [tex]\dfrac{3}{4}[/tex] of them to Joe.
Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.
To find:
How many paper clips did Justin get?
Solution:
Leon had 84 paper clips and he gave [tex]\dfrac{3}{4}[/tex] of them to Joe.
Number of paper clips Joe has = [tex]\dfrac{3}{4}\times 84[/tex]
= [tex]63[/tex]
Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.
Number of paper clips Justin has = [tex]\dfrac{2}{7}\times 63[/tex]
= [tex]18[/tex]
Therefore, Justin has 18 paper clips.
IN
6
Ted can read 135 pages in 3 hours.
Which statement is true?
A The unit rate is 135 pages in 3 hours.
B
The unit rate is 45 pages in 1 hour.
The unit rate is 45 pages in
1
3
of an hour.
None of the statements are true PLEASE HELPPP MEEE ANSWERRR THIS QUESTION
Answer:
45 pages in 1 hour
Step-by-step explanation:
Find the unit rate by dividing the number of pages by the number of hours
135/3
= 45
This means he can read 45 pages in 1 hour.
The unit rate is 45 pages in 1 hour.
A box in the shape of a triangular prism is painted for a project. Which formula would be used to find the lateral surface area of the triangular prism?
Answer:
LSA = (a+b+c)×h
Step-by-step explanation:
The formula that would be used to find the lateral surface area of the triangular prism = perimeter of base(P) × Height of prism(H)
Let us assume that three side of triangle are a, b, c and height of prism is h
Then lateral surface area of the prism can be LSA = (a+b+c)×h
Please answer my math question
x=2 or x=-8 are the answers to the questio.
Solve for X. Will give brainliest!
Answer:
57.6
Step-by-step explanation:
Parallel lines cut by transversals have proportional segments.
25/30 = 48/x
25x = 30 * 48
25x = 1440
x = 57.6
HELLPPP
Describe in words how to map AABC to its image
AAB'C'.
Answer:
Reflected across thhe Y-Axis (I think thats what your looking for)
Nevada has the fastest growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population 2010 ? Apply the population growth formula N=Noe^rt
Answer:
32,322,237 million or 3.23million
Step-by-step explanation:
Nevada has the fastest-growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population in 2010? Apply the population growth formula N=Noe^rt
Applying the formula given above
N=Noe^rt
No = 2.62 million
r = 3.5% = 0.035
t = 2010 - 2004 = 6 years
N = 2.62 × e^6 × 0.035
N = 3.2322365171 million
= 32,322,237 millon
Approximately = 3.23 millon
Calculate the Mean Absolute Deviation of these data. Round answers to the nearest tenth (one decimal place).
12, 17, 20, 8, 13
Answer:
18/5
Step-by-step explanation:
12+17+20+8+13 =70
70/5 = 14 which is the mean
the distances from the mean are
2 3 6 6 1
add them which is 18 then divide by 5 to find the mean
18/5
find the measure of the missing angles
Answer:
<B = 18
x+23 = 35
5x = 60
Step-by-step explanation:
Answer:
12. 18
14. x = 12; x + 23 = 35; 5x = 60
Step-by-step explanation:
12.
100 = ? + 82
? = 18
14.
x + 23 + 5x + 85 = 180
6x + 108 = 180
6x = 72
x = 12
x + 23 = 12 + 23 = 35
5x = 5 * 12 = 60
You roll a 6-sided die.
What is P(5)?
Answer:
1/6
Step-by-step explanation:
you have a 6 sided die that is numbered 1, 2, 3, 4, 5, and 6.
you roll it once, so the probability that you will roll a five is 1/6
this is because you only want one specific number so that goes on the numerator of the fraction.
then, you have to multiply how many sides you have on the die to the number of rolls. in this case we have one roll and six sides. so the six goes on the denomerator side of the fraction
i need help please !!
Answer:
Step-by-step explanation:
Number of people 41 - 50 who read DIY books = 69
Total number of people = 750
% reading DIY = (69/750) * 100 = 9.2%
Please help I’ll give brainliest
Answer:
50
Step-by-step explanation:
Answer: the tip you should leave is 4.2
14 is 0.04
do 0.04 times 30 and you get 4.2 which is 14 % of 30
Step-by-step explanation:
Which number line shows the correct locations of all the given values?
Answer:
it would be c because it is plotted correctly
HEKEIAINF AIUOSF AOFNK IO:SAB AIOSFBJK ASMEHELPPP
Answer:
Ummm give me a second let me solve this
The volume of the oblique cylinder is 24 ft?,
Which statements are true? Check all that apply,
The height of the cylinder is 3.4 ft.
The diameter of the cylinder is about 4.5 ft.
3.4 ft
The diameter of the cylinder is about 3 ft.
The radius of the cylinder is about 6 ft.
A right cylinder with the same height and radius as
this oblique cylinder would also have a volume of
24 fri
Answer:
A, C, E
Step-by-step explanation:
Right on Edge
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
2.25
Step-by-step explanation:
6x + 2(5x -6) how do i get the answer?
what is the least common denominator of 3/1+8/4
Answer:
4355646
Step-by-step explanation:
45345
Answer:
least common denominator is 4
Step-by-step explanation:
3/1+8/4=20/4 which is 5
A chocolate bar cost 2 dirham. Alyazia spends 18dh on chocolate bars for her siblings. Write an equation to express how many chocolate bars she bought.
pllssss helpppp
Answer:
ok all you have to do is solve the equation
Answer:
A chocolate bar = 2 dirham
amount of money Alyazia spends = 18 dirhams
on chocolate bars for her siblings are
∴ the number of chocolates Alyazia are = 18/2 = 9
Alyazia bought 9 chocolates
hope this answer helps you.....
What’s the scale factor?
Answer:
The scale factor is 1/4
Step-by-step explanation:
20/5 = 4
help please 5th grade math
Answer:
Stanley needs 31 feet and 2 inches of fencing.
Step-by-step explanation:
In order to answer this problem, you need to find the perimeter of the dog run.
Since: [tex]P=2(l+w)[/tex]
and [tex]l=149[/tex] inches & [tex]w=56[/tex] inches
Plug in what we know :
[tex]P=2(149+56)[/tex]
and solve:
[tex]P=410[/tex] inches
The dog run has a perimeter of 410 inches.
However, now we need to subtract 36 inches since the gate doesn't need fencing.
[tex]410-36=374[/tex] inches.
The dog run needs 374 inches of fencing.
In order to find out how many feet of fencing that is, divide it by 12.
[tex]\frac{374}{12}[/tex] = 31.16666667 OR [tex]31\frac{2}{12}[/tex], meaning 31 feet and 2 inches.
Answer:
31 feet and 2 inches of fencing :))<3
Step-by-step explanation:
What is the value of the expression below? ( 3 + 1 × 5 ) 2
Answer:
(3+ 5)2=8*2=16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
(3+1*5)2
B- brackets
I- indices
D- division
M- multiplication
A- addition
S- subtraction
1*5=5
5+3=8
8*2=16