that should be vertex form
Answer:
C. vertexStep-by-step explanation:
Given function
f(x)=(x-3)²+72This is a vertex form of the quadratic function
Correct option is C
Prove De Morgan's law by showing that each side is a subset of the other side by considering x ∈ A⎯⎯⎯ A ¯ ∩ B⎯⎯⎯ B ¯ .
Solution :
We have to prove that [tex]$\overline{A \cup B} = \overline{A} \cap \overline{B}$[/tex] (De-Morgan's law)
Let [tex]$x \in \bar{A} \cap \bar{B}, $[/tex] then [tex]$x \in \bar{A}$[/tex] and [tex]$x \in \bar{B} $[/tex]
and so [tex]$x \notin \bar{A}$[/tex] and [tex]$x \notin \bar{B} $[/tex].
Thus, [tex]$x \notin A \cup B$[/tex] and so [tex]$x \in \overline{A \cup B}$[/tex]
Hence, [tex]$\bar{A} \cap \bar{B} \subset \overline{A \cup B}$[/tex] .........(1)
Now we will show that [tex]$\overline{A \cup B} \subset \overline{A} \cap \overline{B}$[/tex]
Let [tex]$x \in \overline{A \cup B}$[/tex] ⇒ [tex]$x \notin A \cup B$[/tex]
Thus x is present neither in the set A nor in the set B, so by definition of the union of the sets, by definition of the complement.
[tex]$x \in \overline{A}$[/tex] and [tex]$x \in \overline{B}$[/tex]
Therefore, [tex]$x \in \overline{A} \cap \overline{B}$[/tex] and we have [tex]$\overline{A \cup B} \subset \overline{A} \cap \overline{B}$[/tex] .............(2)
From (1) and (2),
[tex]$\overline{A \cup B} = \overline{A} \cap \overline{B}$[/tex]
Hence proved.
A marker costs $0.99. A pad of paper costs $1.25 more than the marker, which is a more reasonable estimate for the total cost of both items: $2 or $3?
Answer:
$3
Step-by-step explanation:
Because you have to also think about tax of the item. Plus add them both up and it costs $2.24 without tax. Which means it's already above $2.
Can somebody help me please
Answer:
182
Step-by-step explanation:
Add them all which is 178 and subtract that number from 360.
370-178=182
Which is the correct way to evaluate the expression 48−(29−17)?
Answer:
37
Step-by-step explanation:
Find x
25
7
х
I need help
Answer:
24 = x
Step-by-step explanation:
You use Pythagorean theorem. Since the normal equation is [tex]a^{2} + b^{2} =c^{2}[/tex], you already have the [tex]c^{2}[/tex] and another side which can be [tex]a^{2}[/tex] or [tex]b^{2}[/tex].
Because you have the hypotenuse and a side , your equation looks like this now: [tex]7^{2} +b^{2} = 25^{2}[/tex]
and when you solve for be you just subtract [tex]25^{2} -7^{2}[/tex] to get 24.
9-x<-11
(**hint** x cannot be negative. IF x is negative, that is like having a coefficient of -1...how would you "cancel out" that coefficient? )
Solve
Answer:
Bueno, sí y no. Si está multiplicando dos términos como (x - 2) y (x - 2), usaría el método FOIL: primero, adentro, afuera, último. Vea el diagrama adjunto. Los dos signos negativos se cancelarían entre sí solo al multiplicar los últimos valores. Avísame si necesitas más explicaciones.
-cjhunter.26
HELP ME PLEASE
what goes in the box?
Answer:
Answer :
8/-11
y=8 x=-11
Answer:
16 - 8 / 9 - 20
Step-by-step explanation:
y2 = 16 y1 = 8
x2 = 9 x1 = 20
your answer is going to be 8/-11
pls help help meeeeeeeeeeee
Step-by-step explanation:
[tex] 200 = \pi{r}^{2} \\ {r}^{2} = \frac{200}{\pi} = 63.66 \\ r = 7.97 = 8[/tex]
7 3/8 divided by 6 as a fraction
Answer:
[tex] \frac{73}{48} [/tex]
Step-by-step explanation:
.......
Pls help, with explanation if possible
king jon un
Step-by-step explanation:
Expand and simplify (x − 3)(2x + 1)(3x - 2)
Answer:
6[tex]x^{3}[/tex]- 19[tex]x^{2}[/tex]+[tex]x[/tex]+6
Step-by-step explanation:
Answer:
6x³ - 19x² + x + 6
Step-by-step explanation:
What are the length and width of the frame?
{2l+2w=62}
1-2w=1
I don't know the answer its not in my syllabus nor I was thought this one
A box of cereal contains 10 cups. If each bowl holds 1 1/4 cups of cereal, how many bowls of cereal will you get out of the box?
Answer:
8
Step-by-step explanation:
Answer: 8
Step-by-step explanation: 10 / 1.25 = 8
There are 11.5 ounces of cereal in a container. Additional cereal is poured into the container at a rate of 3.15 ounces per second.
Answer:
It will take 3.65 seconds at the rate it's being poured.
Step-by-step explanation:
The solution to 5 - 3x > 35 is either x > -10 or -10 > x. Which soultion is correct? Explain how you know.
Answer:
x < - 10
Step-by-step explanation:
5 - 3x > 35
-3x > 35 - 5
-3x > 30
Divide both sides by 3
-x > 10
Divide both sides by - 1
x < - 10
The inequality sign will change due to the negative sign.
In the figure below, Ken's company has placed sprinkler heads at the center of the two small semicircles. The radius
Of the sprinklers is 5ft If the area in the larger semicircular area is the shape of the entire lawn, how much of the lawn will not be watered?
Answer:
The answer is below
Step-by-step explanation:
The sprinklers have a radius of 5 ft each. Since the larger semicircle (entire lawn) has a diameter that is formed from the 2 semicircles, therefore the radius of the larger semicircle is 10 ft.
Area that wont be watered can be gotten by subtracting the area of the two smaller circles from the area of larger semicircle.
Area that wont be watered = 1/2(π * 10²) - 2[1/2(π * 5²)] = 50π - 25π = 25π ft²
Solve
7 + X = 2x-5
3
Answer:
the exact form is 22/5
decimal form is 4.4
mixed number form is 4 2/5
Step-by-step explanation
isolate the variable by dividing each side by factors that don't contain the variable
Can anyone help me with this question.
Answer:
y=-5x+9
Step-by-step explanation:
y=-5x+b
y=4 x=1
4=-5(1)+b
9=b
HELP ME FIND THE GCF
What is the greatest common factor (GCF) of the numerator and denominator
of the rational expression below?
5x - 20/ x^2-2x-8
Answer: Look below =3
The greatest common factor of numerator and denominator is (x-4).
A circle has a radius of 8 cm, what is the diameter?
Answer: 16cm
Step-by-step explanation:
The radius is half of the diameter so you would have to double the radius.
Answer:
16cm
Step-by-step explanation:
The diameter of a circle is double the radius, so if a circle has a radius of 8cm, it has a diameter of 16cm because that's double 8cm.
Consider the expression.
53 · 56
In expanded form: (5 · 5 · 5) · (5 · 5 · 5 · 5 · 5 · 5)
What does the expression simplify to?
53
58
59
518
Answer:
5^9 : C
Step-by-step explanation:
I got the answer righttttt !!
Answer:
C
Step-by-step explanation:
i got it right
Jaclyn paid $620 to stay at a hotel. She paid $124 per
night for each of two rooms. How many nights, n, did
Jaclyn stay at the hotel?
14 less than twice a number is equal to 4 times the number decreased by 38
Answer:
14-2x=4*2x-38
Step-by-step explanation:
Written as a simplified polynomial in standard form, what is the result when
(x - 2)^2is subtracted from 9x^2-8x?
Answer:
9x^2 - 10x -4
Step-by-step explanation:
It is set up like this
9x^2 - 8x
- (x-2)2
First solve (x-2)2
the answer is (2x-4)
so now you can do this instead
9x^2 - 8x
- 2x - 4
----------------------------------
9x^2 - 10x +4
9x^2 minus zero is 9x^2
-8x-2x is -10x
0- -4 is 4 because that is like saying 0 + 4 because double negatives equal a positive
A simpler way is to change all the numbers to the opposite sign and then change the minus to a plus
like this
9x^2 - 8x
+ -2x + 4
----------------------------------
9x^2 - 10x +4
Answer:
8x^2-4x-4
Step-by-step explanation:
On delta math
Pls help me answer the products and factors
thx
Answer:
products - -3x and 6x^2
factors - 8 and 2x
Step-by-step explanation:
Answer:
-8x would go in the box above -16x and -8 would go in the other box
Someone plzzz helppp meee
Answer:
The answer is 40 degrees
SOMEONE PLEASE HELP WILL GIVE 25 POINTS
Answer:
Step-by-step explanation:
g(x) is vertical translation of f(x) by -12 units
Jennifer is making a big chili dinner for her family and bought 4000 grams of turkey for the chili. How many kilograms of turkey is
that?
A)2
B)2.5
C3
D)4
Answer:
D
Step-by-step explanation:
Helppp plz I will mark brainliestttt
Step-by-step explanation:
If x=20 3x/5=12
Then if y=30 3y/5=18
It shows that A'B'C' smaller than ABC
Answer:
The correct statement is D
Step-by-step explanation:
Triangle A'B'C' is a diluted version of triangle ABC, so it would be smaller than triangle ABC since its x-value and y-value are being multiplied by a number less than 1.
Plz help thank you it’s one question!!!
Answer:
96
Step-by-step explanation: