Answer:
2.3a + 0.8a =
2.3
+ 0.8
________
3.1
________
So therefore, 2.3a + 0.8a = 3.1a
Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x
+1?
Oright 1 unit
o left 1 unit
Oright 2 units
left 2 units
Answer:
The translation is left 1 unit, up 5 units ⇒ A
Step-by-step explanation:
Let us revise the rules of translation of a function
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
The vertex form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant is f(x) = a(x - h)² + k, where h = and k = f(h)
You will use the vertex form to find the translation
∵ g(x) = x² + 2x + 6
∴ a = 1 and b = 2
→ use the rule of h to find it
∴ h =
∴ h = -1
→ Use it to find k
∵ g(h) = k
∴ k = g(-1)
→ Substitute x by -1 in g to find k
∴ k = (-1)² + 2(-1) + 6 = 1 - 2 + 6
∴ k = 5
→ Substitute the values of h and k in the vertex form above
∴ g(x) = 1(x - -1)² + 5
∴ g(x) = (x + 1)² + 5
→ By using the 2nd and 3rd rules of translation above
∴ f(x) is translated 1 unit to the left and 5 units up
∴ The translation is left 1 unit, up 5 units
Answer:
it's A. left 1 unit
Step-by-step explanation:
there's a graphing tool on e d g just copy and paste the equations in that and it'll give you the answer
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
7x + 2y = –1
7x + 2y = 1
14x + 4y = –1
14x + 4y = 1
Answer:
b
Step-by-step explanation:
edge2020
The equation of the line is 7x+2y = 1
What is an equation of a line?The equation of a line is linear in the variables x and y which represents the relation between the coordinates of every point (x, y) on the line. i.e., the equation of line is satisfied by all points on it.
Given that a line is passing through two points J(-3, 11) and K(1, -3). we need to find the equation of line JK,
So, we know that the equation of a line passing from two points (x₁, y₁) and (x₂, y₂) is =
y-y₁ = y₂-y₁/x₂-x₁ (x-x₁)
Here, (x₁, y₁) and (x₂, y₂) = J(-3, 11) and K(1, -3)
Therefore, the equation of the line =
y-11 = -3-11 / 1+3 (x+3)
y-11 = -7/2(x+3)
Multiply by 2,
2y-22 = -7(x+3)
2y-22 = -7x-21
7x+2y = 1
Hence the equation of the line is 7x+2y = 1
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. Eight years ago, Rudi thought that he was making a sound investment by buying $1000 worth of Pro Sports Management stock. Unfortunately, his investment depreciated steadily, losing 15% of its value each year. a. What is the multiplier? b. Write a function using f(t) to describe the situation. c. How much is the stock worth now?
Answer:
a. 0.85
b. [tex]f(t) =1000(0.85)^t[/tex]
c. $272.49
Step-by-step explanation:
Given that:
Initial investment made, 8 years ago = $1000
Depreciation value each year = 15%
To find:
a. Multiplier
b. Function [tex]f(t)[/tex] to describe the situation.
c. Worth of stock now.
Solution:
a. Depreciation of 15% means the value becomes (100 - 15) % = 85% or 0.85 of the actual value.
Therefore, the multiplier is 0.85.
b.
Every year the value becomes 0.85 times of the actual value.
If it continues for [tex]t[/tex] years, then the values will be:
[tex]f(t) =1000(0.85)^t[/tex]
c. Let us put [tex]t=8 \ years[/tex] to find the worth of stock now.
[tex]\Rightarrow f(8) =1000(0.85)^8\\\Rightarrow \bold{\$272.49}[/tex]
So, the answers are:
a. 0.85
b. [tex]f(t) =1000(0.85)^t[/tex]
c. $272.49
Over a 14 day period , Jamal went to the store 5 times . Based on this information, which statement best describes how many times will go to the store in a 5 week period
[tex]v^{3)[/tex]-[tex]11v^{2}[/tex]+13v-30)÷(v-10)
Answer:
[tex]v^2-v+3[/tex]
Step-by-step explanation:
[tex](v^3-11v^2+13v-30)\div (v-10)\\\\\frac{v^3-11v^2+13v-30}{v-10}\\\\Factorize\:\:v^3-11v^2+13v-30\\\\=\frac{\left(v-10\right)\left(v^2-v+3\right)}{v-10}\\\\\mathrm{Cancel\:the\:common\:factor:}\:v-10\\\\=v^2-v+3[/tex]
i am a three digit number. i am divisible by 5. i am an even number each of my digits are different my tens is greater than my ones digit. my hundreds digit is greater than my tens digit. i am less than 400. i am divisible by 3. i have only one odd digit. my tens digit is 1. what number am i?
Answer:
210
I am divisible by 5.
So your ones digit is 0 or 5
I am an even number.
So your ones digit is 0. We fill that in.
_ _ 0
My tens digit is 1.
So we fill that in.
_ 1 0
My tens digit is greater than my ones digit.
Well, of course 1 is greater than 0. We didn't need to be told that.
I have only one odd digit.
Since the 1 is odd, the hundreds digit is even, 2,4, or 8
I am less than 400.
So your hundreds digit is 2. Fill that in and we're done.
2 1 0
My hundreds digit is greater than my tens digit.
Of course 2 is greater than 1, we didn't need to be told that.
I am divisible by 3.
Of course 210 is divisible by 3. We didn't need to be told that.
Too much information!
Answer: 210
During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. Explain in words each step to find the following question:
At what number(s) measures played would the sound level be at 80 decibles?
( I need the answers, plus the steps please and thank youuu :)
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equation:
s = 10│x - 4│+ 50
Where s = sound level in decibels
x = number of measures of music played
Step 1:
Subtract 50 from Both sides
s - 50 = 10│x - 4│+ 50 - 50
s - 50 = 10│x - 4│
For s = 80
80 - 50 = 10│x - 4│
30 = 10│x - 4│
Clear the absolute value sign
± 30 = 10x - 40
Hence ;
Lower value :
- 30 + 40 = 10x
10 = 10x
x = 1
Upper value :
+30 + 40 = 10x
70 = 10x
x = 7
The regular price of a baseball hat is $16.85. If Ernesto buys the baseball hat on sale for 20% off the regular price, how much change will
receive after paying with $20?
Answer:
$6.52
Step-by-step explanation:
The price of the hat would be $13.48 after the discount.
So the amount of change he would receive would be 20-13.48 which is $6.52
HEY CAN ANYONE ANSWER DIS PLS!!
Hallar el máximo común divisor de 20, 70, y 50.
Answer:
10
Step-by-step explanation:
Plz help quick! :)))))
Answer:
a = 60
60°, 60°, 120°, and 120°
Step-by-step explanation:
So we know that the sum of the angle measures of the quadrilateral is 360° and that the four angle measures are a, 2a, a, and 2a. This means that the sum of a, 2a, a, and 2a should equal 360.
a + 2a + a + 2a = 360
Combine like terms.
6a = 360
Divide both sides by 6.
a = 60
So the value of a would be 60.
Now to find the angle measures from least to greatest, we would have to find the values of a, 2a, a, and 2a.
a = 60
2a = 120
a = 60
2a = 120
So the angle measures from least to greatest is 60°, 60°, 120°, and 120°.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
a=60 degrees
Step-by-step explanation:
Total angle measurements=360 so
2a+2a+a+a=360
2(60)+2(60)=240
240+60+60=360
----------------------------
So a=60
find the value a and b for h(x)=x^2+ax+b so h(1)=0 and h'(1)=4
Answer:
a= -14/3b= 11/3Step-by-step explanation:
Given Function h(x) = x^2 + ax + bh(1) = 0h'(1) = 4To findValues of a and bSolutionh(1) = 0 ⇒
1^2 + 1*a + b = 0 ⇒a + b = -1 ------------------> (1)h'(1) = 4 ⇒ h(4) = 1 ⇒
4^2 + 4*a + b = 1 ⇒4a + b = - 15 ------------------> (2)Considering the equation (1) in the equation (2)
3a - 1 = -153a = -14a = - 14/3and
b = -1 - a b = -1 + 14/3 b = 11/3The table shows the bills that Rosemary has this month. She begins the month with $54.30 in her bank account.
Part A: without any deposits, what would be her bank account balance after paying her bills? What does the sign of your answer indicate?
Part B: Rosemary will babysit for a total of $14.5 hours this month. She earns $8 per hour. What would be the account balance after depositing all that she earns and paying all her bills?
Part C: Rosemary wants to buy a gift for her little brother this month. should she buy a baseball glove for $22.95 or a T-shirt for $13.95? Use mathematics to justify your choice.
Answer:
Do you mind showing a photo of the table? Otherwise I can't really help. I need to know what her bills are.
Name a fourth point in plane TUW.
Answer:
Y
Step-by-step explanation:
i think its Y
PLEASE HELP ASAP! THIS IS DUE SOON! SHOW STEPS AND I WILL GIVE BRAINLIEST! A lot of points!
Raise these monomials to their given powers.
(5x2y3) to the power of 2 (x2 means x squared, y3 means y cubed)
(-4ax3) to the power of 3 (ax3 means ax cubed)
(-2m3n2t) to the power of 4 (2m3 means 2m cubed, n2 means n cubed)
(-a2bc3) to the power of 5 (-a2 means -a squared, c3 means c cubed)
Answer:
For the last one,it is -a^10b^5c^15
Step-by-step explanation:
When you raise monomials to a power, you multiply each thing inside the parenthases by the power you are raising it to. (-a^2bc^3)^5=(-a^5x3)(b^1x5)(c^3x5)=-a^10b^5c^15
Hope this Helps
The ratio of boys to girls in a group is 6:1. If there are 50 more boys than girls, work out how many boys there are.
Answer:
the was 60 boys in the group
Answer:
There are 60 boys.
Step-by-step explanation:
Multiply both by 10 and you get 60 boys and 10 girls. there are 50 more boys than girls.
What is the slope of the line that passes through the points (3,5) and ( −1, 5)? Write your answer in simplest form.
Answer:
m = 0
Step-by-step explanation:
Answer:
m = 0
Step-by-step explanation:
Use the slope formula m = y2 - y1/x2 - x1
(5-5)/(-1-3) = 0/-4
= 0
PLEASE HELP!!!!!!!!!
Letters a, b, c, and d are angle measures.
Which should equal 105° to prove that f ∥ g?
a) a
b) b
c) c
d) d
Answer:
d
Step-by-step explanation:
At a book fair there were 45 fiction books sold. If the ratio of fiction books sold to non-fiction book sold was 5 : 4, how many books were sold total?
Answer:
25:20 , the total is still 45
This week, Philip spent 13 hours playing basketball, and 9 hours practicing his violin. What is the ratio of the hours spent playing basketball to the hours spent practicing violin? A 13:13 B. 9:9 C. 13:9 D. 9:22
Answer:
Step-by-step explanation:
C 13:9
what is three plus three
Answer:
6
Step-by-step explanation:
Because 3 plus 3 is 6
1) Solve the problem using the correct steps in PEMDAS.
-5( – 3 – 5) + ( - 40) = —
• -5
• -80
• 8
• 0
Simplify (−3.5)(−3)(−6.4).
−672
−67.2
67.2
672
Answer:
-67.2
Step-by-step explanation:
Answer:
−67.2
Step-by-step explanation:
When the input is 4, what is the output in the following function; y = 3x + 4
Answer:
y = 16
Step-by-step explanation:
y = 3(4) + 4
(3x4= 12)
y = 12 + 4
y = 16
answer my question asap
please! I will be forever greatful
have a great day
Answer:
plS AWNSER MY QUESTION i WIIL be GrEaTfUl FOrEvEr
Step-by-step explanation:
Help pleaseeee. I really need help.
Answer:
10
Step-by-step explanation:
Perform the said operations
Answer:
10
Step-by-step explanation:
16*2 = 32
32/8 = 4
4*15 = 60
60/6 = 10
10
This is due today pls help! :)
Answer:
D
Step-by-step explanation:
8.4 minus 3 equals 5.4
10¹⁰ minus 10⁷ is 10³
Answer:
The correct answer is 2.8 x 10^3
Step-by-step explanation:
I Hope this helps.
Solve for x:
4-7x = x-12
X = 2
O b
X = 3
X = 4
0
Od
X = 5
Answer:
x = 2
Step-by-step explanation:
If I helped hope I can get brainliest
Answer: 4-7x = x-12
X = 2
O b
X = 3
X = 4
0
Od
X = 5
Im not sure is a problem missing
Step-by-step explanation:
Error Analysis Deena says that 3.56556555... is a rational number. Elijah disagrees and says the
number is irrational. Decide who is correct and what might likely cause one of them to make the error.
Who is correct? What might likely cause one of them to make the error?
OA. Elijah is correct. Deena may see 3.56556555... as showing a repeating pattern.
O B. Deena is correct. Elijah may see 3.56556555 ... as not showing a repeating pattern.
OC. Both Deena and Elijah are correct. Numbers like this one are both rational and irrational.
OD. Neither is correct. The number cannot be classified as rational or irrational.
The correct option regarding whether the number is irrational is given by:
A. Elijah is correct. Deena may see 3.56556555... as showing a repeating pattern.
What are irrational numbers?Irrational numbers are numbers that cannot be represented by fractions, such as non-exact roots and non-terminating and non-repeating decimals.
For this problem, the number is:
3.56556555...
Which is an irrational number, as it is neither terminating nor repeating, hence the correct option is given by:
A. Elijah is correct. Deena may see 3.56556555... as showing a repeating pattern.
More can be learned about irrational numbers at https://brainly.com/question/2236338
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Solve for m in the following equation:
x = -2kn + m)
Answer:
The answer is m = x + 2kn
Step-by-step explanation:
Rewrite the equation as − 2 k n + m = x . Add 2 k n to both sides of the equation.