Answer:
The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry. For a parabola whose equation is given in standard form , the vertex will be the minimum (lowest point) of the graph if and the maximum (highest point) of the graph if .
Step-by-step explanation:
Modern car company has come out with a new car model, Market analysts predict that 4,900 cars will be sold in the first month and that sales will drop by 100 cars per month after that during the first year. Write out the first five terms of the sequence, and find the number of sold cars predicted for the twelfth month. Find the total predicted number of sold cars for the first year. a. The first five terms of the sequence are (Use a comma to separate answers.)
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Number of cars sold in first month = 4900
Sales drop by 100 cars per month for the first year:
A(x) = a - 100(x - 1)
No = sale In first month = 4900
First five months
Ist month :
a = 4900
2nd :
4900 - 100 = 4800
3rd :
4800 - 100 = 4700
4th:
4700 - 100 = 4600
5th:
4600 - 100 = 4500
First five terms : (4900,4800,4700,4600, 4500)
Predicted sales for 12th month :
A(12) = 4900 - 100(12 - 1)
A(12) = 4900 - 1100
= 3800
Total sales for the first year:
4900+4800+4700+4600+4500+4400+4300+4200+4100+4000+3900+3800) =
= 52,200
Multiply and simplify the product.
–12i × 3i
Answer:
36
Step-by-step explanation:
Simplify the following expression to simplest form using only positive exponents.
(32x^-15y^25)^-2/5
Answer:
[tex]\frac{x^{6} }{4y^{10} }[/tex]
Step-by-step explanation:
THIS is the answer if the equation looks like this. [tex](32x^{-15} y^{25} )^{-2.5}[/tex]
To raise a product to a power raise each factor to the power and multiply the results. Is it true or false?
Answer:
True
Step-by-step explanation:
Hope this helps x
True
Consider two numbers a and b
Their product will be [tex]\sf a \times b = (ab) [/tex]
Suppose I want to raise this product to a power, say m
That is, [tex]\sf (ab)^m [/tex]
By rules of indices,
[tex]\sf (ab)^m = a^m \times b^m [/tex]
So, we have to raise the individual factors of the product to the power and multiply the results.
Hence the given statement is true.
I need help with this question
Answer:
4.20
Step-by-step explanation:
Answer:
4.2
Step-by-step explanation:
it starts with 2.80 and four is that dou led so we have to find half of 2.8 then add it to find three (I'm bad at explaining)
which number is bigger than the other? -0.75 or -5/4!! Please help!
Answer:
-0.75
Step-by-step explanation:
-0.75 or -5/4
-0.75 or -1.25
-0.75 is bigger because it has a greater value.... it is closer to zero, on a number line.
A game store charges a monthly membership fee of $7.50, but then the charge to rent a game is only $1.00. Another store has no membership fee, but that store charges $2.00 to rent a game. How many games need to be rented each month for the total fees to be the same from either store?
Answer:
6 games.
Step-by-step explanation:
Given that,
Monthly membership fee of store 1 is $7.5, but then the charge to rent a game is only $1.00
Another store has no membership fee, but that store charges $2.00 to rent a game.
Let there be n games needed to be rented each month for the total fees to be the same from either store.
Cost of first store = $7.50+$1.00n
Cost of another store = $2.00
If cost equals,
$7.50+$1.00n=$2
n=5.5 [tex]\approx[/tex] 6
Hence, 6 games needed to be rented each month.
1 2/2 dived by - 1/5
Answer:
-10
Step-by-step explanation:
1 2/2= 2
2/(-1/5)=(-10)
Answer:
-10
Step-by-step explanation:
1 2/2 / -1/5
2 × 5 / -1/5 × 5
10 / - 1
10 × -1 / -1 × -1
-10 / 1
-10
Your homework grades are 92, 87, 74, 96, 83, 88, 91, 82, and 85. What score on your next homework will make the median and the mode equal? List the scores in order from least to greatest. You can use the strategy Systematic Guess and Check to help you find the solution.
Answer:Next homework Score should be 87.
Step-by-step explanation:
STEP 1
Listing the scores in ascending order ie from least to greatest gives
74, 82, 83, 85, 87, 88, 91,92, 96
STEP 2
we find the median--- The median score is the score that is in the middle of the set of results when arranged from lowest to highest as we have done above , which give us 87 as the median.
74, 82, 83, 85, 87, 88, 91,92, 96
Also Mode is the score with the highest frequency , ie the score which appears more than other numbers. For now we have no mode as all the numbers occurred once
Therefore in next exam, I should get a score of 87, making my scores to become
74, 82, 83, 85, 87, 87, 88, 91,92, 96
Now my mode becomes 87 ( highest frequency of occurrence ) and
My median becomes (87+ 87)/2 = 87 ( with the addition of a new score the total score become ten, which is now even, so we divide the addtion of the two middle numbers by 2 )
If b= 40 degrees and c= 30 degrees, what is the measure of d?
Answer:
It would be D. 110 degrees
Step-by-step explanation:
A triangle is always equal to 180 degrees. So, if you add b + c, you get 70 degrees. Subtract that from 180, and you get 110. Hope this helped!
Answer:
a = 110 degree
d= 70 degree
Step-by-step explanation:
a+b+c = 180. (being sum of all interior angle of a triangle is 180 degree)
a+40+30 = 180
a=180-70
a = 110
Similarly,
a+d=180. (being supplementary angle)
110+d=180
d= 70
Which graph represents the inequality y<−1+2x?
Answer:
B
Step-by-step explanation:
negative slope so the line will go down and it has a less than sign so the shade will be below it
Re-write the standard form equations provided in slope-intercept form
4.5x – 10y = 15
Please help me similar triangles
Answer:
30 degrees
Step-by-step explanation:
14 + 5 + 11 = 30
180 / 30 = 6
6 x 5 = 30
So:
The smaller triangle is 30 degrees.
Hope this helps!
classify each equation below as a formula , a literal equation ,or both.
c=2d , a=1/2bh , y=2x-1, p=2e+ 2w
delete my answer please its useless
HELP ME PLZZI NEED HELP WITH THIS!!
Answer:
The answer is C
Step-by-step explanation:
You would move the dot on the number to the right 5 spots, ending up at -4.
a sno-cone machine priced at 139$ is on sale for 20% off , the sale tax is 10
Answer:
The overall price would be 125.1
Step-by-step explanation:
The sales tax is $13.90
the sale takes off $27.8
So 139 - 27.8 + 13.9 is 125.1
pls rate my answer
Use the fact that 521•73=38,033 Enter the exact product of 521•73
Answer:
38,033
Step-by-step explanation:
If 5x = -35, then find the value of -28 + 4x
Answer:
x=-7
Step-by-step explanation:
-28-28=-56
hope it will help you!!!!
mark as brainiest
Kiana wants to purchase a new bicycle for $ 225.45 and helmet for $12.55. If the sales tax rate is 7%, what will be the total amount of Kiana’s purchase including sales tax? 7.13A
Answer:
$254.66
Step-by-step explanation:
225.45 + 12.55 = 238
7% of 238 = 0.07 × 238 = 16.66
16.66 + 238 = 254.66
How to make 20 using the number 3,5,6,3 add
Answer:
3+3+6+5+3=20
Step-by-step explanation:
3+3=6
6+6=12
12+5=17
17+3=20
Answer:
(3x3)+6+5
Step-by-step explanation:
3 times 3 is 9
9 plus 6 is 15
15 plus 5 is 20
Can someone help with this one?
Answer:
3!
Step-by-step explanation:
if two is he same as to and too how are they different
Answer:
two is a number
too means in addition
to means motion in the direction
Step-by-step explanation:
The program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber's exercise during the fourth, fifth, and sixth visits?
Answer and Step-by-step explanation:
Solution:
Set of values that are intensities of Ambers exercise during fourth, fifth and sixth visits:
63%, 63%,63%, 66%, 69%, 72%, 66%, 62%, 58%, 67%, 67%, 67%, 63%, 65%, 67%, 67%, 72%, 77%/
Program recommends a constant intensity for 3 visits,
Increasing intensity over 3 visits,
And decreasing intensity for 3 visits,
Set of values, which are intensities of Ambers exercise during fourth visits:
66%.
69%,
72%,
Set of values, which are intensities of Ambers exercise during fifth visits:
63%,
65%,
67%,
Set of values, which are intensities of Ambers exercise during sixth visits:
67%,
72%,
77%,
Its decreasing.
What is 1.8 divided by 2? Show Work
Answer:
0.9
Step-by-step explanation:
Unless is there is another way to answer this question, all you have to do is put it into a calculator.
Which expression has the same value as 59.2 - 84.7? *
27 points
A. 84.7 - 59.2
B. -84.7 + (-59.2)
C. 59.2 - (-84.7)
D. 59.2 + (-84.7)
Answer:
D. 59.2 + (-84.7)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Someone help please!!
Answer:
B
Step-by-step explanation:
Even though -3.613 has more digits, if you add a zero to -3.63 it becomes -3.630. -3.630 is greater than -3.613.
Answer:
b i think
Step-by-step explanation:
An arithmetic series contains 14 numbers. The first number is 12. The last number is 38. What is the sum of the series?
A. 312
B. 350
C. 494
D. 700
Answer:
B. 350
Step-by-step explanation:
done on edge
The sum of the sequence is 350 if the arithmetic series contains 14 numbers. The first number is 12. The last number is 38 option (B) is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
An arithmetic series contains 14 numbers.
The first number is 12.
The last number is 38.
As we know, the sum of the arithmetic sequence or series is given by:
S = (n/2)(a + l)
Here, S is the sum of the AP
n is the number of terms
a is the first term
l is the last term
n = 14
a = 12
l = 38
S = (14/2)(12 + 38)
S = (7)(50)
S = 350
Thus, the sum of the sequence is 350 if the arithmetic series contains 14 numbers. The first number is 12. The last number is 38 option (B) is correct.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ5
2(x + 9) = 4(x - 7) + 2
Answer:
x = 22
Step-by-step explanation:
Step 1: Write equation
2(x + 9) = 4(x - 7) + 2
Step 2: Solve for x
Distribute: 2x + 18 = 4x - 28 + 2Combine like terms: 2x + 18 = 4x - 26Subtract 2x on both sides: 18 = 2x - 26Add 26 to both sides: 44 = 2xDivide both sides by 2: 22 = xRewrite: x = 22Step 3: Check
Plug in x to verify it's a solution.
2(22 + 9) = 4(22 - 7) + 2
2(31) = 4(15) + 2
62 = 60 + 2
62 = 62
Answer:
x=22
Step-by-step explanation:
2x+18=4x-28+2
2x+12=4x-26
2x+44=4x
44=2x
22=x
Write the equation of a line passing through the points (-2,0) and (7,9) in point-slope form.
Answer:
Y+0=1(x+2)
Step-by-step explanation:
A swimmer competes in a 200 meter free style race. If the swimmer finishes the race in 5 minutes. How fast was the swimmer swimming?
Answer:
40meters per minutes
Step-by-step explanation:
Answer:
40m/min
Step-by-step explanation:
200m/5min
40m/min
Hope this helps!