How many tiles would be used to make figure five
Express x2 + 4x - 7 in the form (x + a)? - b where a and b are integers.
Answer: (x+2)^2 -11
Step-by-step explanation:
X^2 +4x -7
Half the middle term, add it to x and put them into a bracket and square it
(X+2) ^2 -7
Square the second term to get 4 and then take that away from 7. (We do this because if we had the extra 4, our answer when’s we multiplied out of the brackets wouldn’t be x^2 +4x -7.)
(X+2)^2 -7 -4
Now simplify the whole numbers outside the bracket
(X+2) ^2 -11
given the sequence tn defined recursively below, find t4.
Answer:
[tex]t_4 = 20[/tex]
Step-by-step explanation:
The base case in the recursive function are:
[tex]t_1 = 1[/tex]
[tex]t_2 = 2[/tex]
The recursive case is equal to:
[tex]t_n = 2t_{n-1} + 3t_{n-2}[/tex]
So replace [tex]t_n[/tex] for [tex]t_4[/tex]:
[tex]t_4 = 2t_{3} + 3t_{2}[/tex]
In the new expression [tex]t_2[/tex] is a base case so you don't have to worry for that part, but [tex]t_3[/tex] is still the recursive case so evaluate again in [tex]t_n[/tex]
[tex]t_3 = 2t_{2} + 3t_{1}[/tex]
[tex]t_2[/tex] and [tex]t_1\\[/tex] are define as base cases so you replace for it's numbers:
[tex]t_3 = 2(2) + 3(1) = 7[/tex]
Now return to [tex]t_4[/tex] and replace for the new values:
[tex]t_4 = 2(7) + 3(2) = 14 + 6 = 20[/tex]
So the final answer is 20
Janice bought 4 oranges for $3.40. what is the unit price.
The graphs below have the same shape. What is the equation of the blue
graph?
A) g(x) = (x-4)^2
B) g(x) = (x+4)^2
C) g(x) = x^2 + 4
D) g(x) = x^2 - 4
The graphs of f(x) and g(x) are related by transforming one of the two graphs.
The equation of the blue graph is [tex]\mathbf{g(x) =(x - 4)^2}[/tex]
From the graphs, we have:
[tex]\mathbf{f(x) =x^2}[/tex]
f(x) is transformed to the right by 4 units.
The rule of this transformation is:
[tex]\mathbf{g(x) \to f(x - 4)}[/tex]
So, we start by calculating f(x - 4)
Given that:
[tex]\mathbf{f(x) =x^2}[/tex]
Substitute x - 4 for x in f(x)
[tex]\mathbf{f(x - 4) =(x - 4)^2}[/tex]
Also, recall that:
[tex]\mathbf{g(x) \to f(x - 4)}[/tex]
So, we have:
[tex]\mathbf{g(x) =(x - 4)^2}[/tex]
Hence, the equation of g(x) is [tex]\mathbf{g(x) =(x - 4)^2}[/tex]
Read more about transformation at:
https://brainly.com/question/11707700
in order to raise enough money to buy a travelling bag, Ebuta deposits the sum of $200 in a savings account for 2 years at 5% per month interest on the initial principal. How much will be accruing to him at the end of the period
Answer:
$200 times 5% = $10/MONTH
Step-by-step explanation:
$10 times 24 because theres 24 months in 2/YRS
$240 additional accruing funds at the end of the period!
if in a game of glass stepping stones. there are 18 tiles of glass. two in each row. one is tempered and will be fine if you jump on it. and the other will break. if 1 player was to play what are his/her chances of getting across?
(NO links)
How many times two odd digits appear in a number when you count from 0 to 999?
The solution is: It occurred 90 times does the digit 5 occur in all the numbers from 100-999 .
What is Arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.
The nth term of AP : a_n = a + (n – 1) × d
here, we have,
Explanation:
Here, we want to know the number of times the digit occurs
We can solve this with arithemetic progression
The first term here is 105, while the last term is 995
However, the difference between each occurrence is 10
Thus, applying the formula:
T_n = a + (n-1) d
T_n is the last term which is 995
a is the first term which is 105
d is the common difference which is 10
n is the number of terms which we want to calculate
Substituting these values, we have it that:
995 = 105 + (n-1) 10
so, we get,
n = 900/10
=90
Hence, It occurred 90 times does the digit 5 occur in all the numbers from 100-999 .
To lean more on Arithmetic progression click:
brainly.com/question/28898589
#SPJ2
complete question:
How many times does the digit 5 occur in all the numbers from 100-999 ?
MATH
Which equation would you use to solve the following situation? If everybody on the team scores 4 points, and the team has a total of 28 points, how many people are on the team? 7 p = 28 4 p = 28 28 - p = 4 4 + p = 28
Answer:p=7
Step-by-step explanation:4x7=28
Testing a conjecture
What is the distance between -5 and 2?
units
So what do you think the answer would be
Answer:
the answer is 7
Step-by-step explanation:
Let ABC ≃DEF. Find mE
The value of mE is blank degree
Answer:
m∠E = 124°
Step-by-step explanation:
Since the triangles are congruent, B and E are automatically congruent, since they are corresponding angles.
First, we must find the value of y.
Set both measures equal to each other.
98 + y = 6y - 32.
Subtract y from both sides.
98 = 5y - 32
Add 32 on both sides.
130 = 5y
Divide 5 on both sides.
y = 26
Substitute y for angle E.
E = 6(26) - 32
E = 156 - 32
E = 124°
Pls someone help, and fast
Answer:
So for Shop A 10, a pack of 10 pens is going to be 2.30. To get to 70 pens we must multiply
7x2.30
=$16.10
For Shop B you must first divide
70 divided by 5 = 14 packs of pens in total, divide 14 by 2 because half of the packs will be half off.
so, 7x1.60
=$11.20- then divide 1.60 by 2 = $0.80,
then multiply by 7
=$5.60, then add the the two numbers for Shop B,
$11.20 + $5.60= 16.80
Step-by-step explanation:
So if you buy pens from Shop A you will spend $16.10, If your buying pens for Shop B you will spend $16.80
The difference from buying pens from Shop A and Shop B would be $0.70
Find c
[tex]a+a=10\\a+b=35\\b-z=5\\z+a+b+c= 10[/tex]
Answer= -50
a= 5
b= 30
z= 25
c= -50
Leah's bill for breakfast at a restaurant was $68. She left an 18% tip. What was the amount of the tip?
Answer:
55.76
Step-by-step explanation:
55.76
124/72 simplified is?
Answer:
31/18
Step-by-step explanation:
Which table could be a partial set of values for a linear function?
(Had to repost cuz of spamming)
Glasses cost $0.50. You buy 2. How much do you pay?
Answer:
1 dollar
$1.00
$1
Step-by-step explanation:
Write the ratio as a ratio of whole numbers using fractional notation.
39 days to 15 days
[tex] \frac{39 \: \: days}{15 \: \: days} \\ = \frac{39}{15} \\ dividing \: \: \: both \: \: \: numerator \: \: \: and \: denominator \: \: \: by \: \: \: 3 \\ = \frac{13}{5} \\ = 13 : 5[/tex]
Answer:13:5
Hope it helps.
Do comment if you have any query.
solve pls brainliest
Answer:
Mixed number: 8.72=8 72/100
Improper fraction: 8.72= 872/100
Step-by-step explanation:
8 is in the ones place, 7 is in the tenths place, and 2 is in the hundreths place, which makes 8.72. In fractions, that would be 8 wholes, and 72/100, which is 8 72/100. After that, you can turn it into an improper fraction by doing 8x100, which is 800, then you add 72, which is 872. That makes 872 the numerator, and 100 the denominator, which makes 872/100.
Btw (I didn't simplify, as the problem states against it!)
35. In her rough work, Janu added 2389 and 740 as shown here.
Is it okay to write the number 740 this way in the addition?
(Hint: You do NOT need to calculate)
(A) Yes, because 0 has no value so 74 is the same as 740.
(B) No, because the answer will be wrong if 0 is not written.
(C) No, because the digits 7 and 4 have NOT been arranged according to their value.
(D) Yes, because 7 is added with the hundred's digit and 4 with the ten's digit.
Answer:
D
Step-by-step explanation:
Find the equation of this line.
y=3/4x+1/4
I hope this helped :)
Answer:
Step-by-step explanation:
two points on the line are (-3,-2) and (5,4)
slope=(4-(-2))/(5-(-3)=(4+2)/(5+3)=6/8=3/4
eq. of line is
y+2=3/4(x+3)
4y+8=3x+9
4y=3x+9-8
4y=3x+1
y=3/4 x+1/4
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If a submarine dives 378 feet in 14 seconds, the average change in elevation is feet per second.
Answer:
27 feet per second.
Step-by-step explanation:
You already have your time unit in second and length measurement in feet so just divide the two 378/14=27 feet per second.
Answer:
-27 feet per second
Step-by-step explanation:
378 ÷ 14 = 27
because the submarine is going down, the sign has to be negative
what 5 + 5- just asnwer pls
Answer:
5+5=10
but if you mean
5+-5 then that = 0
Step-by-step explanation:
ayo is 37 years old and Abdul salami is 6 years old. how many years ago was the product of their ages 96
g What are the dimensions that will maximize the area of the window if you have 20 ft total for the perimeter of the window
A snack food company produced 58,115 ounces of bite-size cookies. The company will put the cookies into 9-ounce bags. About how many bags will the company be able to fill? Choose the better estimate.
A.10,000
B.6,000
Answer:
The answer is B. about 6,000
Step-by-step explanation:
58,115/9=6,457
What is x
5x + 5 = 40
a
How many seconds are in a day? Use the conversion equivalency 24 hours = 1 day, 60 minutes = 1 hour, 60 seconds
= 1 minute
8640 seconds in one day
b. 1440 seconds in one day
1200 seconds in one day
d. 86,400 seconds in one day
C
Please select the best answer from the choices provided
Ο Α
B
OD
Answer:
D)86400 seconds
Step-by-step explanation:
In 1 hour there are 60 minutes and in 1 minute there are 60 seconds.
Brainliest?
4/2 - (-2/3)
im confusedddd lol
Answer:
2.66666666667
or
266666666667/100000000000
Step-by-step explanation:
9514 1404 393
Answer:
2 2/3
Step-by-step explanation:
The minus signs cancel, so the sum is ...
4/2 +2/3
The improper fraction on the left reduces to 2, so this is ...
2 +2/3
That sum is simply the mixed number 2 2/3.
Derrick's dinner bill, including an 18% tip, is $15.34.
What was the amount of the bill before the tip?
Enter your answer in the box. I WILL GIVE BRANLIEST IF ASWERED CORRECTLY
Answer:
The amount before the tip was $12.58
Step-by-step explanation:
Answer:
The amount before the tip was $12.58
Step-by-step explanation:
