Answer:
Only f(x) has an x-intercept.
All three functions have the same domain values.
Step-by-step explanation:
Given
See attachment for table
Required
Select two correct options
Checking the domain:
The x values represent the domain.
From the attached table, we have:
[tex]x = \{-4.-3,-2,-1,1\}[/tex]
These values of x apply to the three functions; f(x), g(x) and h(x).
This means that the functions have the same domain
Checking the greatest maximum
The maximum of each function is:
[tex]f(x) = 1[/tex]
[tex]g(x) = -4[/tex]
[tex]h(x) = 2[/tex]
Compare these three values, we have:
[tex]h(x) > f(x) > g(x)[/tex]
This means that h(x) has the greatest maximum
Checking the x intercept
When a function equals 0, then it has an x intercept
Of the three functions, we have:
[tex]f(-3) = 0[/tex] --- This represents the x intercept.
Other functions do not have this value.
This means that only f(x) has an x intercept
Answer:
Only f(x) has an x-intercept.
All three functions have the same domain values.
or A and E on edg
Step-by-step explanation:
Trish had a square garden with side lengths of 8 feet. She expanded her garden to 10 feet by 8 feet. By how many square feet did she expand the area of her garden?
Answer:
[tex]16\:\mathrm{ft^2}[/tex]
Step-by-step explanation:
Trish's initial garden had an area of [tex]8\cdot8=64\:\mathrm{ft^2}[/tex]. After expanding her garden to be 10 feet by 8 feet, the garden has an area of [tex]8\cdot 10=80 \:\mathrm{ft^2}[/tex]. Therefore, the garden was expanded by [tex]80-64=\boxed{16\:\mathrm{ft^2}}[/tex]
What does b represent in y=mx+b
Answer:
the y-intercept
Step-by-step explanation:
The y-intercept is where the line cuts the line.
Answer:
y intercept
Step-by-step explanation:
Anyone know the answer?
Answer:
2
Step-by-step explanation:
Evaluate the function below for x= 2. F(x) = 2.
F(x)=2x³-x²-5x+6
A. 8
B. 16
C. 56
D. 4
Answer:
this is the correct answer
When using the quadratic formula to solve 7x2 – 3x + 2 = 0, which number will be squared as part of the formula?
Answer:
The value of b will be squared
Step-by-step explanation:
Recall that the quadratic formula is [tex]x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex]
You will see that the only squared coefficient is b.
What is 5x-3 equal to
Answer:
-15
Step-by-step explanation:
Answer:
-15 hdbdudbdjsbakznzbzjzbzbz
hey! please help i’ll give brainliest
Answer:
True
Step-by-step explanation:
Adding -ed to a verb will make it a simple past tense verb
Hope this helps :)
Answer:
True
Step-by-step explanation:
it is past tense
A rep hockey team has two goalies. Goalie A has a save percentage of 0.92 and Goalie B has a save percentage of 0.89. If goalie A plays 75 percent of the games and goalie B plays 25 percent of the games then: a) Determine the probability that a save has been made by either goalie A or goalie B. b) If a save has been made, what is the probability that is was goalie A? c) If a goal was let in, what is the probability it was goalie B?
Answer:
a) 0.9125
b) 0.756
c) 0.314
Step-by-step explanation:
The save percentage of Goalie A = 0.92
The save percentage of Goalie B = 0.89
The percentage of the games Goalie A plays = 75 percent
The percentage of the games Goalie B plays = 25 percent
a) The probability that a save has been made by either Goalie A or Goalie B
Therefore we get;
The probability that Goalie A made a save, P(A) = 0.92 × 0.75 = 0.69
The probability that Goalie B made a save, P(B) = 0.89 × 0.25 = 0.2225
For mutually exclusive events, we have;
P(A) or P(B) = P(A) + P(B)
∴ P(A) or P(B) = 0.69 + 0.2225 = 0.9125
The probability that a save has been made by either Goalie A or Goalie B, P(A) or P(B) = 0.9125
b) Where there are 10,000 attempts, made evenly in all games, we have;
The number of attempts made with Goalie A playing = 10,000 × 0.75 = 7,500
The number of saves Goalie A makes = 0.92 × 7,500 = 6,900
The number of saves for 10,000 attempt = (P(A) or P(B)) × 10,000 = 0.9125 × 10,000
The number of saves for 10,000 attempt = 9,125
∴ The probability that Goalie A saves = 6,900/9,125 ≈ 0.756
c) Out of the 2,500 attempts at Goalie B, the number of goals let in is given as follows;
P(Goal B) = 2,500 - 2,500 × 0.89 = 275
The number of goals let in by Goalie A, we have;
P(Goal A) = 7,500 - 7,500 × 0.92 = 600
Therefore, the total number of goals let in = 300 + 275 = 875
The probability that the goals was let in by Goalie B = 275/875 = 11/35 ≈ 0.314.
need help on question 26
Answer:
y = 2x - 3.
Step-by-step explanation:
26, The slope is 2 and y-intercept is -3
Mr. Jones surveyed his class to find out how many students feel that Math is their favorite subject. Based on these results, how many students would say that Math is their favorite subject if he asked all 150 students in the 6th grade class.
Answer:
im not sure
Step-by-step explanation:
I remember doing this but i forget
Look at the parallelogram pictured in Figure 1. What is the area of the
parallelogram?
Answer:
45m²
Step-by-step explanation:
=> Area = base × height
=> A = 5m × 9m
=> A = 45m²
Find
[tex] \frac{dy}{dx} [/tex]
if
[tex]y = (x + \sqrt{x} )^{2} [/tex]
Answer:
[tex]\displaystyle y' = 2x + 3\sqrt{x} + 1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsAnything to the 0th power is 1Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = (x + \sqrt{x})^2[/tex]
Step 2: Differentiate
Chain Rule: [tex]\displaystyle y' = 2(x + \sqrt{x})^{2 - 1} \cdot \frac{d}{dx}[x + \sqrt{x}][/tex]Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}})^{2 - 1} \cdot \frac{d}{dx}[x + x^{\frac{1}{2}}][/tex]Simplify: [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot \frac{d}{dx}[x + x^{\frac{1}{2}}][/tex]Basic Power Rule: [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot (1 \cdot x^{1 - 1} + \frac{1}{2}x^{\frac{1}{2} - 1})[/tex]Simplify: [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot (1 + \frac{1}{2}x^{-\frac{1}{2}})[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot (1 + \frac{1}{2x^{\frac{1}{2}}})[/tex]Multiply: [tex]\displaystyle y' = 2[(x + x^{\frac{1}{2}}) + \frac{x + x^{\frac{1}{2}}}{2x^{\frac{1}{2}}}][/tex][Brackets] Add: [tex]\displaystyle y' = 2(\frac{2x + 3x^{\frac{1}{2}} + 1}{2})[/tex]Multiply: [tex]\displaystyle y' = 2x + 3x^{\frac{1}{2}} + 1[/tex]Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = 2x + 3\sqrt{x} + 1[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Which statement describes graph
Answer:
Step-by-step explanation:
There are no statements here
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Side lengths- LK = 1.56 JK = 2.88
Step-by-step explanation:
Use tan for LK. Tan 26 = x/3.2, x = 1.56 to the nearest hundredth. Use cosine for JK. Cos 26 = x/3.2, x = 2.88 to the nearest hundredth.
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
#3 is 74 and adjacent #4 is 29 and adjacent #5 is 48 and vertical
Step-by-step explanation:
just trust me i had the same questions
Find the missing exponent: p^2 ∙ p^3 ∙p^? = p^9
Answer:
34
Step-by-step explanation:
the question is in the image.(no links)
Answer:
I don't know but I think the answer is 3
Meliah wants to make a gallon of punch. She uses 2 quarts of orange juice, 1 cup of lemon juice, and 2 1/2 pints of pineapple juice. How many cups of water should she add to make 1 gallon?
Answer:
2 cups of water
Step-by-step explanation:
Meliah wants to make a gallon of punch.
Note that
1 gallons = 16 cups
For Orange juice
She uses 2 quarts of orange juice,
1 quart = 4 cups
2 quarts = x
Cross Mulitiply
2 × 4 cups = 8 cups
For lemon juice
1 cup of lemon juice
For pineapple juice
2 1/2 pints of pineapple juice.
1 pint = 2 cups
2 1/2 pints = x
Cross Mulitiply
2 1/2 × 2 cups = 5 cups
Total number of cups
= 8 cups orange juice + 1 cup lemon juice + 5 cups of pineapple juice
= 14 cups
Hence, the number of cups of water she should add to make 1 gallon is calculated as:
16 cups - 14 cups
= 2 cups of water
Find an equation of the circle that has center (-2, 6) and passes through (-6, 1).
Answer:
(x+2)^2 + (y-6)^2 = 41
Step-by-step explanation:
The equation for a circle is (x-h)^2+(y-k)^2=r^2
So first, it is known that the circle's center is at (-2,6), Therefore, this can be filled in:
(x+2)^2+(y-6)^2=r^2
Next, we need to find the radius, and one of the points is already known, being (-6, 1)
With this, find the distance between these two points by doing the Pythagorean Theorem, a^2+b^2=c^2. The a^2 would be the x value changed and the b^2 would be the y value changed between the two numbers. Note that this is interchangeable.
To find a:
-2 to -6 = change of 4
To find b:
6 to 1 = change of 5
Next, write out the equation for this:
4^2+5^2=c^2
16+25=c^2
41=c^2
c = √41
The radius would be √41, so the equation can now be completed. Since c will be brought to the second power, this will cancel out the square root.
(x+2)^2 + (y-6)^2 = 41
Hope that helps.
What is the area of triangle ABC?
9514 1404 393
Answer:
C. 36√3 square units
Step-by-step explanation:
Your knowledge of special triangles tells you that height CD is ...
CD = 6√3
so the area is ...
A = 1/2bh
A = 1/2(12)(6√3) = 36√3 . . . . square units
_____
Additional comment
The 30°-60°-90° right triangle that is half an equilateral triangle has a short side equal to half the length of the long side. The Pythagorean theorem tells you that the middle-length side is √(2²-1²) = √3 times the shortest side. That is, the side length ratios in this "special" triangle are ...
1 : √3 : 2
This means the length DB is 12/2 = 6, and the length CD is 6√3.
helpp me !!!!!!!!!!!!!! please
Jerome photographed an aquarium that measured 12 inches by 18 inches by 24 inches. Lim photographed an aquarium that was 12 inches by 30 inches by 12 inches. Both aquariums are rectangular prisms. How much more volume does Jerome’s aquarium have than Lim’s?
Answer:
the answer is 864 in3
Step-by-step explanation:
Jerome photographed an aquarium that measured 12 inches by 18 inches by 24 inches.
So V=LxWxH....
12 x 18 x 24= 5,184
Then...
Lim photographed an aquarium that was 12 inches by 30 inches by 12 inches.
So= V=LxWxH
12 x 30 x 12=4,320
And they need to see who has more so 5,184-4,320=864in3
I hope this helps also Into Math said it was correct :)
Which expression is equivalent to a2 + 2a – 8?
A. (a + 2)(a – 4)
O B. (a + 1)(a – 8)
o C. (a - 1)(a + 8)
D. (a + 4)(a - 2)
Answer:
D
Step-by-step explanation:
(a+4)(a-2)=a^2+2a-8
a*a=a^2
a*(-2)=-2a
a*4=4a
4*(-2)=-8
a^2-2a+4a-8=a^2+2a-8
Norma makes bags.
She makes 17 bags an hour.
Norma works for 6 hours each day, 5 days a week.
Each bag is checked.
If the bag is perfect, it is put in a box.
When there are 12 bags in a box it is full.
One week 90% of the bags Norma made were perfect.
Work out the number of boxes completely filled with bags made by Norma.
Answer:
38
Step-by-step explanation:
She makes 17 bags an hour. Multiply 17 bags by each hour. Additionally, multiply that by 5 for each day worked. The total number is 510.
Out of 510 bags made in that week, only 90% are perfect. 90% of 510 is 459.
If there are 459 bags, and each box can hold 12, how many boxes will be full? Keep adding bags into boxes until you reach 0 bags. The equation you'll want is 459/12.
38 boxes will be full, with 3 remainder bags.
The histogram shows the number of part-time and full-time employees in each salary range for the Watchdog Clock Factory. How many employees earn $26,000 to $35,000 yearly?
Answer:
7 employees are in the $36,000 to 45,00 salary range.
Step-by-step explanation:
In the bar chart, find the bar labeled 36-45. Look at the top of that bar and then look horizontally left, to the edge where 0 thru 20 is written. Looks to me that the height of the 36-45 bar is at 7 on that scale.
I hope that help
SUPER CONFUSED! EXPLAIN PLS! EMERGANCY!
Answer:
73.12m²
Step-by-step explanation:
Okay, you can break this figure into a half-circle and a triangle, we're going to start with the triangle (using the handy formula sheet you have up there)
12 x 8 = 96
96 x ½ = 48
Now we do the semicircle (the formula for a circle is pi x radius² )
the radius is half of the diameter so:
8 ÷ 2 = 4
4² = 16
we're using 3.14 for pi so:
3.14 x 16 = 50.24
Now we'd normally stop there, but this is only a semicircle, so we have to chop it in half again:
50.24 ÷ 2 = 25.12
Now we add both of those together:
48 + 25.12 = 73.12
So the area of the figure is 73.12m²
hope this helps:)
y = kx
In the equation, what does "k" represent?
Answer: it’s the number that stays the same
Step-by-step explanation: ex. y = 24(6x)
y = x + 1
in graph form
Answer:
See graph
Step-by-step explanation:
Rewrite in simplest terms:
10 (7g - 9h) -4h - 8 (-8 +8g)
Answer:
=6g + −94h + 64
Step-by-step explanation:
Let's simplify step-by-step.
10(7g−9h)−4h−8(−8+8g)
Distribute:
=(10)(7g)+(10)(−9h)+−4h+(−8)(−8)+(−8)(8g)
=70g+−90h+−4h+64+−64g
Combine Like Terms:
=70g+−90h+−4h+64+−64g
=(70g+−64g)+(−90h+−4h)+(64)
=6g + −94h + 64
Answer:
your answer is 6g-94h+64
Step-by-step explanation:
1. 10 (7g - 9h) -4h - 8 (-8 +8g)
2. 70g-90h-4h+64-64g
3. 6g-94h+64
Isabella is playing a board game. The probability that Isabella will lose a turn on her next turn is 11%. Which word or phrase describes the probability that Isabella will lose a turn?
Answer:
unlikely
Step-by-step explanation:
11% is closer to 0 than it is to 1/2. when something may occur, but significantly less than half of the time, we say it is unlikely