Answer:
after 2 secsStep-by-step explanation:
The paths crossed at when the height are equal i.e when f(x) = g(x)
Given
f(x)=−x^2+2x+4
g(x) = 2x
IF f(x) = g(x), then;
−x^2+2x+4 = 2x
−x^2+2x+4 - 2x = 0
−x^2+4 = 0
-x^2 = -4
x^2 = 4
x = ±√4
x = 2 and -2
Time cannot be negative
Hence x = 2
The path crossed after 2 seconds
Need help please I would really appreciate it
Answer:
The slope of line is 9
Step-by-step explanation:
We can use two pairs of input-output from the table to find the slope of the given line. Here x is input and y is output.
Slope is defined as the steepness of a line and is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Selected pairs from table are:
(-1,-18) and (0,-9)
Here
[tex]x_1 = -1\\x_2 = 0\\y_1 = -18\\y_2 = -9[/tex]
Putting the values in the formula
[tex]m = \frac{-9-(-18)}{0-(-1)}\\=\frac{-9+18}{0+1}\\= 9[/tex]
Hence,
The slope of line is 9
Gabriel earned $238.40 at His job when he word for 16 hours what was his hourly wage in dollars per hour?
Answer:
$14.9
Step-by-step explanation:
238.40 / 16 = $14.9 hourly
Answer:
Gabriel earns $14.90 per hour
Step-by-step explanation:
238.4 divided by 16 gives you 14.9
Hope this helps
35,800 at 8.2% for 3 years
Answer:
A = $446,068.00
Step-by-step explanation:
A = $446,068.00
I = A - P = $88,068.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8.2%/100 = 0.082 per year.
Solving our equation:
A = 358000(1 + (0.082 × 3)) = 446068
A = $446,068.00
The total amount accrued, principal plus interest, from simple interest on a principal of $358,000.00 at a rate of 8.2% per year for 3 years is $446,068.00.
what is the final position of (-7) + (-2) on a number line ?
Answer:
answer is A, source: a calculator
Step-by-step explanation:
if you are adding two negitives, take the signs away and add normal, then add the sign back at the end, ONLY WORKS WITH TWO NEGITIVES AND HAS TO BE ADDITION
Answer:
Step-by-step explanation:
It’s 9 because you make 7 and 2 a positive number
Which number line best represents the solutions to 7 < -2x + 3?
Answer:
B or D
Step-by-step explanation:
Prove that: 6^7-6^6+6^5 is divisible by 31
15 points!!!
Step-by-step explanation:
[tex]6^7-6^6+6^5=6^{5+2}-6^{5+1}+6^5\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=6^5\cdot6^2-6^5\cdot6^1+6^5\\\\\text{use the distributive property}\ a(b+c)=ab+ac\\\\=6^5\cdot(6^2-6^1+1)=6^5\cdot(36-6+1)=6^5\cdot31\\\\6^7-6^6+6^5=6^5\cdot31[/tex]
therefore it's divisible by 31
[tex](6^7-6^6+6^5):31=(6^5\cdot31):31=6^5[/tex]
[tex]6^7 - 6^6 + 6^5[/tex] is divisible by 31.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]6^7 - 6^6 + 6^5[/tex] s
Taking common factors.
[tex]6^5[/tex] (6² - 6 + 1)
[tex]6^5[/tex] (36 - 6 + 1)
[tex]6^5[/tex] x 31
This is divisible by 31.
Thus,
[tex]6^7 - 6^6 + 6^5[/tex] is divisible by 31.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Brian has been saving $7 each week. Today he spent $77 of the savings, and he now has $42 left. For how many weeks has he been saving?
Answer:
11+6 17 weaks cuz 7x11=77 and 42=7x6=77+42=119
Could someone help me, 1-14 just need 1-14 answers.
Pls help pls help pls help
RENT? GIVE ME RENT If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answe
Answer:
No, none of the number need to be 48 for the mean to be 48. To get a mean, you add up all the number and divide it by the amount of numbers.
Example:
the mean of 10, 79, 42, 88, 19, and 50 is 48, but the actual number 48 was not part of the set.
10 + 79 + 42 + 88 + 19 + 50 = 288
288 ÷ 6 = 48
Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.
Based on the advertised sales, at which store will Zachary get the lowest price on 4 tires?
Answer:
Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.
Step-by-step explanation:
At store R, we get the fourth tire for free, if we buy three tires.
Each tire costs $150, so the cost of 3 tires is .
So at store R, we get 4 tires for $450.
At store S, if we buy 4 tires, we pay $70 off for each tire.
Each tire costs $200, so the cost of 4 tires is
If we get $70 off for each tire, we get for 4 tires.
So at store S, we get 4 tires for
So at store S, we get 4 tires for $520.
Step 2:
At store T, if we buy 4 tires, we pay $200 off the total price.
Each tire costs $175, so the cost of 4 tires is
If we get $200 off the total price, we get for 4 tires.
So at store T, we get 4 tires for $500.
At store V, if we buy 4 tires, we get 10% of the total price.
Each tire costs $130, so the cost of 4 tires is
If we get 10% off the total price, we get for 4 tires.
So at store V, we get 4 tires for $468.
Step 3:
So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.
So Isaiah will get the lowest price on 4 tires at store R.
At store R, we get the fourth tire for free, if we buy three tires.
Each tire costs $150, so the cost of 3 tires is .
So at store R, we get 4 tires for $450.
At store S, if we buy 4 tires, we pay $70 off for each tire.
Each tire costs $200, so the cost of 4 tires is
If we get $70 off for each tire, we get for 4 tires.
So at store S, we get 4 tires for
So at store S, we get 4 tires for $520.
Step 2:
At store T, if we buy 4 tires, we pay $200 off the total price.
Each tire costs $175, so the cost of 4 tires is
If we get $200 off the total price, we get for 4 tires.
So at store T, we get 4 tires for $500.
At store V, if we buy 4 tires, we get 10% of the total price.
Each tire costs $130, so the cost of 4 tires is
If we get 10% off the total price, we get for 4 tires.
So at store V, we get 4 tires for $468.
Step 3:
So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.
So Isaiah will get the lowest price on 4 tires at store R.
Suppose we have universal set U. What does it mean to say that X is a subset of U?
Answer:
All of the elements of X are elements of U.
Step-by-step explanation:
Pls anserw the pic attached below
Answer:
[tex]x=38[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\\angle KLO=134\\\angle OMN= 84\\Hence\ we\ observe\ that,\\\angle KLO\ and\ \angle OLM\ form\ a\ linear\ pair\ and\ hence,\ are\ supplementary.\\Hence,\\\angle KLO\ + \angle OLM=180\\Substituting\ \angle KLO=134,\\134+\angle OLM=180\\\angle OLM=180-134\\\angle OLM=46\\Similarly,[/tex]
[tex]\angle OMN\ and\ \angle OML\ form\ a\ linear\ pair\ and\ hence,\ are\ supplementary.\\Hence,\\\angle OMN\ + \angle OML=180\\Substituting\ \angle OMN=84,\\84+\angle OLM=180\\\angle OLM=180-84\\\angle OLM=96\\[/tex]
[tex]Now\ lets\ consider\ \triangle OML,\\\angle OLM + \angle OML+ \angle LOM=180 [Angle\ Sum\ Property\ Of\ a\ triangle]\\Hence\ substituting\ \angle OLM=46, \angle OML=96, \angle LOM=x\\46+96+x=180\\142+x=180\\x=180-142\\x=38[/tex]
peter and jane have $90 together if peter gave jane $16 he would have $14less than jane how much does peter originally have
Answer:
peter = $54
jane = $36
Step-by-step explanation:
let peter = x
let jane = y
peter + jane = $90
x+y = 90 --------- (1)
peter gave jane $16 = x-16
jane gets extra $16 from peter = y+16
peter would have $14 less than jane
jane - peter = $14
(y+16)-(x-16) = 14
y+16-x+16 = 14
y-x+32 = 14
y-x = 14-32
y-x = -18 ---------- (2)
x+y = 90 --------- (1)
y-x = -18 --------- (2)
from (1)
x+y = 90
y = 90-x --------- (3)
substitute (3) into (2)
y-x = -18
90-x-x = -18
90-2x = -18
-2x = -18-90
-2x = -108
x = 54
substitute x = 54 into (3)
y = 90-x
y = 90-54
y = 36
x = peter = $54
y = jane = $36
please can someone help me!! :(
Answer:
G
Step-by-step explanation:
Distribute the -7 to 4x and -5
Answer:
Hey!
The answer is
-7x (4x - 5)When you multiply them you get
[tex]-28x^{2} + 35[/tex]
So, Option G is the right answer!what is the coordinates of the point where y-4x=1 crosses the y-axis
Answer:
(0, 1)
Step-by-step explanation:
you have to put the equation in the slope point form
y=mx+b and here b is the y-intercept (where it crosses the y axis)
y-4x=1 add 4x to both sides
y=4x+1 so the coordinats are (x=0, y=1)
can u pls help me with this question
Marcos reads 3, books in 1 weeks.
At this rate, how many books does Marcos read iQ 1 week?
Enter your answer in the box.
Answer:
Marcos reads 3 books
Step-by-step explanation:
The question is asking how many books he read in 1 week, and it said "Marcos reads 3, books in 1 weeks. At this rate, how many books does Marcos read in 1 week?", so he read 3 books.
In dogs, there is a hereditary deafness caused by a recessive gene, “d." A kennel owner
has a male dog (Gilbert) that she wants to use for breeding purposes if possible. The dog can
hear. what are the two possible genotypes of Gilbert?
Answer:
Use the following for questions 9-11: In dogs, there is an hereditary deafness caused by a recessive gene, "d." A kennel owner has a male dog (Gilbert) that she wants to use for breeding purposes if possible. The dog can hear. ... This can be tested by breeding the dog to a deaf female (dd).
Step-by-step explanation:
hope it worked
Find the value of x.
71°
(10x + 6)°
(13x - 2)°
(8x - 1)
#15
Answer:
7x7/6x4
Step-by-step explanation:
which of the following is a characteristic of the circumcenter of a triangle? multi-choice. A. it is the center of the only circle that can be inscribed in the triangle. , B. it is the center of the circle that can be inscribed in given a given triangle. C. it is the center of the only circle that can be circumscribed about the triangle. D. it is equidistant from all three sides of the triangle.
Answer:
C
Step-by-step explanation:
The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.
I hope this helps!
Further explanation:
For a circle to circumscribe something, it circles it so that each of the vertices are on the circle, so each of the vertices are equidistant from the circumcenter. The circumcenter of a triangle is formed by the perpendicular bisectors of its sides.
Side note:
The rest of the choices describe an incenter.
Help please! This has to do with the Pythagorean theorem.
Answer:15.62 units
Step-by-step explanation:
just the two legs squared = diagonal squared, so then square root the diagonal so u get a real number
A sea lion was swimming at 2 feet below sea level. The number line shows
the location of the sea lion. It then swam down 8 feet. Describe how to use
the number line to find the new location of the sea lion.
109 8-7 654 3 -2-1 0 1 2 345 6789 10
OA. On the number line, move 8 units to the right. End at 10. The sea
lion was 10 feet above sea level.
OB. On the number line, move 8 units to the left. End at -6. The sea
lion was 6 feet below sea level.
O C. On the number line, move 8 units to the left. End at -10. The sea
lion was 10 feet below sea level.
OD. On the number line, move 8 units to the right. End at 6. The sea
lion was6 feet above sea level.
EPREVIOUS
Answer:
C. On the number line, move 8 units to the left. End at -10. The sea
lion was 10 feet below sea level.
Step-by-step explanation:
hope I helped
When multiplying, the answer is negative when you:
A: multiply a positive (+) times a negative (-)
B: multiply a negative (-) times a negative (-)
C: multiply a positive (+) times a positive (+)
Step-by-step explanation:
b: multiplying a negative (-) by a negative (-)
Sam is reading a book. He finishes 6 pages of the book in 18 minutes. How many pages would Sam have finished reading in 36 minutes?
Answer:
12 pages
Step-by-step explanation:
This is a fairly straight forward question.
Sam read 6 pages in 18 minutes, and we want to know how many pages he could have finished if he read for 36 minutes.
36 minutes is double the time of 18 minutes.
So we just have to double the 6 pages Sam read into 12 pages and that is the answer.
The area under the density curve that lies to the right of 11 is 0.322. What percentage of all possible observations of the variable are at most 11?
Answer: 67.8%
Step-by-step explanation:
The variables that are at most 11 will lie on the left of 11.
The percentage of the possible observations to the left will be:
= 1 - percentage to the right
= 1 - 0.322
= 0.678
= 67.8%
Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.
208 + 10x = 36x
How many purses must she sell in order to break even?
A. 5
B. 6
C. 7
D. 8
Answer:
The correct answer is: Option D: 8
Step-by-step explanation:
Given that she spent $208 on the sewing machines
And
the equation for profits to break even is:
208 + 10x = 36x
In order to find the number of purses to break even, we have to find the value of x
So,
[tex]208+10x=36x[/tex]
Subtracting 10x from both sides
[tex]208+10x-10x = 36x-10x\\208 = 26x[/tex]
Dividing both sides by 26
[tex]\frac{208}{26} = \frac{26x}{26}\\x = 8[/tex]
The number of purses is 8
Hence,
The correct answer is: Option D: 8
Answer:
D is correct.
Step-by-step explanation:
4x4xy+6/3
Please i will give brainliest
GIVE ME THE ANSWER!!!!!!!!!!!!!!!!!!
The graphs below have the same shape. What is the equation of the red
graph?
Answer:
C. F(x) = x^2 + 4
Step-by-step explanation:
Took the test
11
Resel
A line passes through the points (2, 2) and (-4,-2). What is the equation in standard form of
the line?
A 2x - 3y = -2
B 2x - 3y = 2
C 2x + 3y = -2
D 2x + 3y = 2