Answer:
The vertex of the function g(x) = f(x + 2) + 3 is (-6, -2)
Step-by-step explanation:
If the graph of the function f(x) is translated h units to the left, then its image g(x) = f(x + h)If the graph of the function f(x) is translated k units up, then its image g(x) = f(x) + kLet us use these facts above to solve the question
∵ The quadratic function f(x) = y has a vertex point (-4, -5)
∵ g(x) = f(x + 2) + 3
→ By using the two facts above
∴ f(x) is translated 2 units to the left
∴ f(x) is translated 3 units up
→ That means the vertex point must move 2 units left and 3 units up
∵ The rule of translation is T (x, y) → (x - 2, y + 3)
∵ The coordinates of the vertex point of f(x) are (-4, -5)
∴ Its image is (-4 - 2, -5 + 3)
∴ Its image is (-6, -2)
∴ The vertex of the function g(x) = f(x + 2) + 3 is (-6, -2)
What is the result when the number 63 is decreased by 1.3%?
Answer:
61.7
Step-by-step explanation:
8 coins are tossed simultaneously, find the chance of obtaining at least six heads
Answer:
37/256
Step-by-step explanation:
We need to use the Binomial distribution here, ask me why?
because there are only two outcomes of the experiment, heads or tails, which are complementary by nature, that is to say they are mutually exclusive and if one doesn't happen the other definitely does
p(head)+p(tail) = 1
also the trials are independent of one another, that is to say that the outcome of one toss doesn't affect the outcome of any of the other seven tosses out of 8.
and I am assuming here that the coins are all unbiased, i.e. p(head)=p(tail)=0.50
Considering all of these the possibility that we will get at least 6 heads out of 8 tosses is given by
p(head=6)+p(head=7)+p(head=8)= 8C6 (0.5)^6 (0.5)^2 + 8C7 (0.5)^7 (0.5)^1 + 8C8 (0.5) ^8
The plus sign indicates OR operator, i.e. we might get 6 heads or 7 heads or 8 heads.
where the probability mass function of the bin distn is given by
nCx p^x q^(n-x)
n= total number of trials
x= no. of success (in our case no of heads)
n-x = no of failures (no of tails in this example)
p= probability of success (p(heads)=0.5)
q= probability of failure (is equivalent of 1-p)
Lilly was shopping and saw the following prices on different packages of the same item
Answer:
What's the question?
Step-by-step explanation:
So far, a storm has traveled 35 miles in half an hour. If it is currently 5:00 pm and the storm is 105 miles away, what time will the storm reach you? Explain how you solved the problem.
Answer:
It will reach you at 6:30.
Step-by-step explanation:
THe storm traveled at 35 miles in half an hour. It is 105 miles away.
Divide 105 by 35 to get how many half hours it will take to rach you.
105 ÷ 35 = 3.
So, it will be 3 half hours or one hour and a half.
Add that time to the current time, which is 5:00.
It will be 6:30 when the storm reaches you.
hope this helped tell me if it is right.
Let x represent the price of a movie ticket. A local movie theater decided to increase the price of a movie ticket by 30%. Which expression can be used to calculate the new, increased price of a movie ticket?
A. 30x
B. x over the number 30
C. 0.3x
D. 1.3x
Answer:
A
Step-by-step explanation:
30 times x all the others are incorrect so by process of elimination it is a
A cell phone tower and a fence are on the same property. the fence is 8 feet tall and has a shadow that measures 14.5 feet. the shadow of the cell phone tower measures 72.5 feet . how tall is the cell phone tower ?
Answer:
40 feets
Step-by-step explanation:
Given that:
Height of fence = 8 feets
Shadow of fence = 14.5 feets
Shadow of cell phone tower = 72.5 feets
Height of cell phone tower = x
Height of fence = shadow of fence
Height of tower = shadow of tower
8 feets= 14.5 feets
x feets = 72.5
Cross multiply :
(14.5 * x) = (72.5 * 8)
14.5x = 580 feets
x = 580/14.5
x = 40 feets
Hence, the height of the cell phone tower is 40 feets
Find the lengths of the sides of the triangle PQR. P(3, â3, â3), Q(9, 0, 3), R(12, â6, â3) |PQ| = |QR| = |RP| = Is it a right triangle?
a. Yes
b. No
c. Is it an isosceles triangle?
Answer:
a. Yes
Step-by-step explanation:
A card is drawn from a deck of 52 cards.
Find the probability of drawing a black 8:
Answer:
1/26
Step-by-step explanation:
There are two sets colors; red and black.
13 ranks, each rank has 2 black cards and 2 red
but there are only 2 black eights
2/52
HELPPPPP PLEASEEEEE!!!!!!!!!
The x intercept is (9/2,0) or (4.5,0). The y intercept is (0,-1):)
2) What is 75% of $20.00? *
A. 1,500
B. $15.00
C. $0.15
D. $150.00
Answer:
It is $15.00
Step-by-step explanation:
It is B because A is not even money, C is fifteen cents which is not correct because the question is asking for 75% of $20.00, and finally D is incorrect because it is more than the amount of money asked in the question.
How many ways can you arrange the word HOCKEY using only 5 letters
if each letter can only be used once?
Answer:
Total arrangement = 720
Step-by-step explanation:
Given:
Total letter n = 6
Using letter r = 5
Computation:
Total arrangement = nPr
Total arrangement = !n / !(n-r)
Total arrangement = !6 / !(6-5)
Total arrangement = 6 x 5 x 4 x 3 x 2
Total arrangement = 720
How did the National Woman Suffrage Association (NWSA) differ from the American Woman Suffrage Association (AWSA)?
Answer:
The National Woman Suffrage Association advocated for a range of reforms to make women equal members of society, such as the right to own property, etc. The American Woman Suffrage Association lobbied state governments to enact laws granting or expanding women's right to vote in the United States.
Answer:
C: The NWSA wanted to address the voting rights of both women and formerly enslaved people.
Step-by-step explanation:
The NWSA wanted to address and justify the rights of both former slaves and women, while the AWSA only wanted to either help women or former slaves, not simultaneously.
Determine weather the following is real or complex
i^6-122-7i^2
Answer:
Real
Step-by-step explanation:
i^6-122-7i^2
(i^2)^3-122-7i^2
(-1)^3-122-7×(-1)
-1-122+7
-123+7
-116
So the final answer is -116
Complete the equation that represents the total value of the nickels and p pennies
Answer:
Answers below
Step-by-step explanation:
Equation
Let's call:
p = number of pennies Janesa has in her pocket
n = number of nickels Janesa has in her pocket
She has 24 coins in total, thus:
[tex]p + n=24\qquad\qquad [1][/tex]
Since each penny is worth $0.01 and each nickel is worth $0.05, and Janesa has $1 in total:
[tex]0.01p+0.05n=1[/tex]
Multiplying by 100:
[tex]p+5n=100\qquad\qquad [2][/tex]
A. Completing the equation:
[tex]5n+p=100[/tex]
B.
From [1]:
[tex]p=24-n[/tex]
Substituting into [2]:
[tex]24-n+5n=100[/tex]
Simplifying:
[tex]24+4n=100[/tex]
Rearranging:
[tex]4n=100-24=76[/tex]
[tex]n=76 / 4= 19[/tex]
[tex]p=24-19=5[/tex]
B. There are 5 pennies in Janesa's pocket
C. Since each penny is worth $0.01, the total value of pennies is 5*$0.01=$0.05
The total value of the pennies is $0.05
D. The total value of the nickels is 19*$0.05 = $0.95
E. Jackson should say she has 19 nickels and 5 pennies
janesa has 24 coins in her pocket worth exactly $1.00. she tells her younger brother jackson that he can have the coins if he correctly guesses how many of each coin she has. she gives him the hint that there are only nickels and pennies. complete the equation that represents the total value of the nickels and p pennies 5( blank ) + p = 100 The type of coins that Janessa has = nickels and pennies.
Janessa has a total number of 24 coins
The sum of the nickels and pennies = $1.00
Let us represent the number of nickels as x
The number of pennies as y
can u pls help me with this question
Answer:
A
Step-by-step explanation:
Options A, B and C are the same:
2/3 is two-thirds (that how we read the fraction in English) and is 0.66666... (a decimal is sometimes permissible)
But most common and most used is a fraction
So, the answer is A
find the missing side lengths. leave ur answers as radicals
Because of the 45 45 90 theorem since the hypotenuse is 9√2 x and y are both 9
WHATS A FUTURE FUNKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
500,325+6,773,500,135
Answer: future the time or a period of time following the moment of speaking or writing; time regarded as still to come.
Step-by-step explanation:
What is the Magnitude of 6.8
Santiago Chile (AP)
♥plz give me brain list it would help a lot! ♥
♥ お力になれて、嬉しいです ！♥how do you find inital value on a graph I forgot how???????????????????????
Answer:
I believe you would look for what x is when y is 0, but I may be wrong.
system of equations
3x+5y=-7
6x-4y=0
Step-by-step explanation:
18x+30y=-7
18x+12y=0
42y=-7
y=-0.17
3x+5(-0.17)=-7
3x-0.85=-7
3x=-6.15
x=-2.05
A star patterned quilt has a star with the angels shown. What is the value of x? Explain your answer.
Answer:
81°
Step-by-step explanation:
x° and 24° are interior angles of a triangle that are opposite to an exterior angle of measure 105°. According to the exterior angle theorem of a triangle, thus:
[tex] x + 24 = 105 [/tex]
Subtract 24 from both sides
[tex] x + 24 - 24 = 105 - 24 [/tex]
[tex] x = 81 [/tex]
Value of x = 81°
Please help me I beg you I really need help.
Answer:
what's that ,we are all ears
i just got done cutting and taking out the seeds of chilies and i went to go use the restroom and now my bottom part is BURNING HELP ME
Answer:
Lol I can't help im sorry
A carpenter needs to cut two pieces of trim around a window at 34 3/8 inches each. If the saw blade will remove 1/8 of an inch of wood, what is the smallest piece of wood that can be used to produce both pieces?
Answer:
It is so ez, it is of course 2
Step-by-step explanation:
In City A, 4,099 of 5,289 residents, have reliable high-speed internet access. In City B, 15,798 of 20,868 residents have reliable high-speed internet access. In which town are residents more likely to have reliable high-speed internet access?
Answer:
4,099 and 5,011
Step-by-step explanation:
Which would be the best concluding sentence?
Tom wrote this paragraph:
Eating at Joe's Pizza Place is a delightful experience.
The food is freshly prepared right there in the
kitchen. Joe uses only the
freshest ingredients and
makes his own tomato sauce. He even makes
homemade sausage.
O Joe's wife, Emma, has decorated the restaurant
with great care.
O A mural on the wall shows Joe making his tomato
sauce at the Pizza Place.
O Joe also keeps a close eye on the servers and
makes sure customers are happy.
O Anyone who enjoys great food should plan a visit to
Joe's Pizza Place.
lol
the last one seems to be the best
Answer:
D
Step-by-step explanation:
What is an equation of the line that passes through the points (6, 4) and (4,1)?
Answer:
3/2 x-5
Step-by-step explanation:
Answer:
y=3/2x-5
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=1-4/4-6
m=-3/-2
m3/2
y-y=m(x-x1)
y-1=3/2(x-4)
y-1=3/2x-6
+1 +1
y=3/2x-5
Identify the coefficient in 0.50(m)-0.20(g)+9.00
Answer:
-0.2 + 0.5m + 9
Step-by-step explanation: simplify
will give branlist
The sum of two numbers is 107, the difference is 51. Find the numbers.
Answer:
Answer is 79 and 28
Step-by-step explanation:
Let two numbers be x and y.
x + y = 107. --> 1
x - y = 51 -->2
solving above equations,
2x = 158
x =79
y = 28
Write the hypothesis: If the pen is not blue then today is Friday.
a. The pen is not blue
b. If the pen is not blue
c. If today is Friday
d. today is not Friday