Answer:
The absolute value function:
f(x) = |x|
is defined as:
f(x) = x if x ≥ 0
f(x) = -x if x < 0.
Then, knowing that the elevation of the diver is -380 ft
We can write the absolute value of the distance as:
|-380ft| = -(-380ft) = 380ft
This means that the diver is at a distance of 380 ft from sea level. (And because we know that the sign is negative, we can conclude that he is 380ft below sea level).
which of the following numbers is greater than 7.03?
A:7.031
B: 7.030
C. 7.003
D. 7.0
Answer:
A:7.031
Step-by-step explanation:
both 7, but 7.031 has 031. 7.03 only has .03.
PLZ HELP, DUE TONIGHT!! Find the values of a and b such that f(x) is continuous at x=
Answers:
a = 2 and b = -4
============================================================
Explanation:
Let's define the three helper functions
f(x) = ax^2 - bh(x) = 6j(x) = 5ax+bwhich are drawn from the piecewise function. The g(x) function will change depending on what the input is.
If x < 1, then g(x) = f(x). If x = 1, then g(x) = h(x)If x > 1, then g(x) = j(x)Since we want g(x) to be continuous at x = 1, this must mean the three functions f(x), h(x), j(x) must have the same output value when the input is x = 1.
Because h(x) = 6 is a constant function, the output is always 6 regardless of the input. Therefore, we want f(x) and j(x) to have 6 as their output when x = 1. Or else, the pieces won't connect.
Plug x = 1 into the f(x) function to get
f(x) = ax^2 - b
f(1) = a(1)^2 - b
f(1) = a - b
Set this equal to the desired output of 6 and we end up with the equation a-b = 6. Solving for 'a' leads to a = b+6.
------------
We'll use the same idea for j(x)
j(x) = 5ax + b
j(1) = 5a(1) + b
j(1) = 5a + b
5a+b = 6
5(b+6) + b = 6 ... plug in a = b+6; solve for b
5b+30+b = 6
6b+30 = 6
6b = 6-30
6b = -24
b = -24/6
b = -4
Which then leads to,
a = b+6
a = -4+6
a = 2
------------
Since a = 2 and b = -4, we go from this
[tex]g(x) = \begin{cases}ax^2-b, \ \ x < 1\\6, \ \ x = 1\\5ax+b, \ \ x > 1\end{cases}[/tex]
to this
[tex]g(x) = \begin{cases}2x^2+4, \ \ x < 1\\6, \ \ x = 1\\10x-4, \ \ x > 1\end{cases}[/tex]
Meaning
f(x) = 2x^2+4 and j(x) = 10x-4
You should find that plugging x = 1 into each of those two functions leads to 6 as the output.
The graph is shown below. Note the red graph f(x) is only drawn when x < 1. Similarly, j(x) is only drawn when x > 1. The orange point represents h(x) which only happens when x = 1. So as the name implies, the piecewise function g(x) is composed of pieces of the three functions f(x), h(x), j(x).
Someone help me ASAP with 19 and 20 please and thank you
HELP PLZ NEED HELP WITH ALL THE Q's IT DUE TODAY
Please help me with this.
Answer:
maybr 6,9,0
Step-by-step explanation:
find the vertex of y=-x²-4x+12
Letx be the profit of a company and let y be the amount the company owner mais, both in thousands of dollars. The graph shows the relationship
been x and y. Which equation describes this relationship?
Answer:
0.6x
Step-by-step explanation:
take 2 points: (0,0) (5,3)
Write it in slope intercept form:
y = 3/5x
3/5 = 0.6x
answer: 0.6x
i hope this is right
What is the area of 9yd and 14yd
126 yards
Step-by-step explanation:
Nine times fourteen is one hundred and twenty six
PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP PLEASE!!
Answer:
Step-by-step explanation:
its about 263.08!
====================================================
Explanation:
We'll use this formula
S = (x/360)*A
where,
S = area of pie slice, aka sectorx = central angle in degreesA = area of full circleWe'll plug in S = 85.5 and x = 117 to find solve for A.
S = (x/360)*A
85.5 = (117/360)*A
85.5*(360/117) = A
A = 85.5*(360/117)
A = 263.076923076923 which is approximate
A = 263.08 square meters (choice C)
------------
Side note: As the formula suggests, the x/360 portion is the fractional portion of the full area A. For example, if x = 180 degrees, then x/360 = 180/360 = 1/2, meaning we'll take half of the full circle area to get S.
Jenny bought 3 CDs that were each the same price. Including sales tax, she paid a total of $45.30 Of that total, $1.50 was tax. What was the price of each CD before tax?
I need the right answer give brainliest
Answer:
each cd is 14.60
Step-by-step explanation:
45.30-1.50= 43.80
43.80÷3=14.60
Answer:14.30
Step-by-step explanation:
$14.30 per CD and .50 tax per Cd
Becky can wash 15 dishes in 5 minutes. How many dishes will she be able to wash in 8 minutes?
Answer:
24 is correct answer
Step-by-step explanation:
its a 5:15 ratio, you are finding 8:x
8/5=1.6-> 1.6 x a5 = 24
Answer:
24 plates
Step-by-step explanation:
If she can wash 15 dishes in 5 minutes you just need to figure out how many dished she can washe in 1 minute. so you are gonna divide 15 by 5 and get 3 because 3 times 5 equals 15. so then that means she can wash 3 plates in 1 minute. so if she washed 15 in 5 in 6 minutes she can wash 18 and in 7 minutes she can wash 21 and in 8 minutes she can wash 24. Your just adding 3 to the 15 for every minute.
Use the given sequence to answer this following questions:
1, 6, 11, 16, 21, ...
1. Write a rule for the nth term of the arithmetic sequence. (Do not put any spaces between terms when writing the rule.)
2 find the tenth term.
Given:
The arithmetic sequence is:
[tex]1, 6, 11, 16, 21,...[/tex]
To find:
1. The rule for the nth term of the given arithmetic sequence.
2. The 10th term of the given arithmetic sequence.
Solution:
1. We have,
[tex]1, 6, 11, 16, 21,...[/tex]
Here, the first term is 1 and the common difference is:
[tex]d=a_2-a_1[/tex]
[tex]d=6-1[/tex]
[tex]d=5[/tex]
The nth term of an arithmetic sequence is:
[tex]a_n=a+(n-1)d[/tex]
Where, a is the first term and d is the common difference.
Putting [tex]a=1,\ d=5[/tex], we get
[tex]a_n=1+(n-1)5[/tex]
[tex]a_n=1+5n-5[/tex]
[tex]a_n=5n-4[/tex]
Therefore, the nth term of the given sequence is [tex]a_n=5n-4[/tex].
2. We need to find the 10th term of the given arithmetic sequence.
From part 1 it is clear that the nth term of the given arithmetic sequence is:
[tex]a_n=5n-4[/tex]
Putting [tex]n=10[/tex], we get
[tex]a_{10}=5(10)-4[/tex]
[tex]a_{10}=50-4[/tex]
[tex]a_{10}=46[/tex]
Therefore, the 10th term of the given arithmetic sequence is 46.
5=97 find 2 and 4....................,,..,...
Answer:
∠ 2 = ∠ 4 = 83°
Step-by-step explanation:
∠ 2 and ∠ 5 are same- side interior angles and sum to 180° , that is
∠ 2 + 97° = 180° ( subtract 97° from both sides )
∠ 2 = 83°
∠ 2 and ∠ 4 are vertical angles and are congruent, then
∠ 4 = 83°
Please Helpp
A boy is flying a kite. The length of the string is 61 meters and the
horizontal distance between the boy and the kite is 60 meters. Assuming
there is no slack in the string, find the height of the kite from the ground.
kite
61 m
?
boy
60 m
OB) / 179 cm
OA) 165 m
OC) 50 cm
OD) 11 m
Answer: D
Step-by-step explanation:
11 m
Answer:
D
Step-by-step explanation:
took the test
please answer this question
Step-by-step explanation:
[tex]a) \: - \frac{3}{7} a \: \: \times \: - \frac{21}{15} b[/tex]
[tex] = \frac{ 3}{5} ab \: (ans)[/tex]
[tex]b) \: 3xy(5 {x}^{2} {y}^{2} - 4yz)[/tex]
[tex] = 3xy \times 5 {x}^{2} {y}^{2} - 4yz \times 3xy[/tex]
[tex] = 15 {x}^{3} {y}^{3} - 12x {y}^{2} z \: (ans)[/tex]
Question 2 (5 points)
Write the expression with fewer terms.
10x – 3y + 2x
Answer:
12x - 3y
Step-by-step explanation:
Combine Like Terms
10x + 2x = 12x
hey! i’ll give brainliest help thanks
Answer:
Option A, Look closely and you will observe a bright light
Step-by-step explanation:
The cause here is to look closely, if you don't look closely you wont see the bright light... Similarly if there is no cause there is no effect.
Hope this helps!
pls pls plssss help I really need this. if you can pls explain too
Answer:
dpr,rpd
Step-by-step explanation:
thats the answers at least i think thats for first.
Answer:
1) ∠P, ∠DPR, ∠KPR, ∠RPD
2) x = 111°
3) x = 5
4) m∠3 = 72°
Step-by-step explanation:
1) All of the angles display ∠P, you will noticed this if you go from the first letter point and it goes to ∠P and to the last letter point with only including ∠P.
2) I already solved this one in a different post of yours. Subtract all known values from 180° to get your answer.
3) Use the same principle knowing that all sides of a triangle add up to 180°. Add all of the angles together, set the equation to 180 and solve for x.
4) By the Alternate Exterior Angles Theorem, If a transversal intersects two parallel lines, then alternate exterior angles are congruent. Therfore, m∠6 ≡ m∠2, and we know m∠2. Solve by subtracting 108° from 180° because angles on the same line add up to 180°.
simplify v + 4y + y + 2 + 6vy + -Y
A. 5v +3
B. SV +6W +2
с, буу2 +2
Please help me I don’t understand it and I really need help.
Answer:
b
Step-by-step explanation:
Between which interval is the charge a fixed rate?
Answer:
m
Step-by-step explanation:
grbdytjtyhdyt 2nd option 4-8
[tex]\green{ HELLO }[/tex]
the price of 1 toy car is $ 3, how much profit would a person have if he bought 4 of these cars and sold them for $ 5 in four?
♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛
Answer:
Profit earn from selling all four cars = $8
Step-by-step explanation:
Given:
Purchase price of toy car = $3
Number of car purchases = 4
Selling price of each car = $5
Find:
Profit earn from selling all four cars
Computation:
Total amount of purchase = 3 x 4
Total amount of purchase = $12
Total amount of sales = 5 x 4
Total amount of sales = $20
Profit = sales cost - purchase cost
Profit earn from selling all four cars = 20 - 12
Profit earn from selling all four cars = $8
Answer:
$8
hello
Step-by-step explanation:
knk ayşe bana burdan yaz tm
(senin hesap silinmiş(türkiyedeki))
A dogsled race had 6 teams with 7 dogs each and 8 teams with 9
dogs each.
How many dogs raced?
If x = 2, what is the value of 5x + 3?
A. 7
B. 10
C. 13
D. 55
Answer:
C)
Step-by-step explanation:
5 times 2 equals 10
add 3
the total comes up to 13.
HELP ASAP!!! WILL MARK BRAINLIEST
50x^4 - 20x^2 + 1 = 0
1. Write the equation in quadratic form
2. Identify the U
3. Write in U-Substitution form
4. Which factoring method would you use to solve?
Answer:
50x⁴ - 20x² + 1 = 01. Quadratic form
50(x²)² - 20x² + 1 = 02. U is
x² = u3. U- substitution
50u² - 20u + 1 = 04. Find the discriminant and identify roots
d = (-20)² - 4*1*50 = 200u = (20 ± √200)/100u = (2 ± √2)/10Solve for x
x² = (2 ± √2)/10x = ± √((2 ± √2)/10), four rootsplease help me fast
Answer:
x = 9
y = 3
z = 3
Step-by-step explanation:
Triangle 1 (From the left):
5x + 7x = 13x - 9 (Sum of two interior angles of a triangle is equals to exterior opposite angle)
Grouping like terms we have:
12x - 13x = - 9
x = 9
Triangle 2 (From the left):
30y = 90 (angles at a right angle = 90)
y = 3
Triangle 3 (From the left):
15z + 12z + 36 = 39z
36 = 39z - 27z
z = 36/12
z = 3
⚠️PLEASE HELP DUE SOON⚠️
if y=2x-3/3, then x=?
Answer:
Now, find the point where these two lines meet—that is the point with ... We just used them to help us locate the point \left(1,3\right) . ... Since x=2 , the point is to the right of the y-axis. Since y=-3 , the point is below the x-axis. ... Can you tell just by looking at the coordinates in which quadrant the point \left(-2 ... \left(3,-3\right)
Answer:
x = y/2+1/2
Step-by-step explanation:
Simplify the equation, leaving X on one side, giving you x=y/2+1/2.
Find the slope of the graph below. Help fast
Answer:
2x
Step-by-step explanation:
(5,5) is a point (I reckon it is from the screenshot you sent at least)
(0,-5) is a point
-5 - 5 = -10
0 - 5 = -5
-10/-5
Slope = 2x
Answer:
Two Possible Points:
5,5 and 6,7
7 - 5 2
____ = _____ = your slope is 2
6 - 5 1
When picking two points subtract the y(rise) from eachother first which will be your numerator and the x(run) from eachother in the same exact way you subtracted to the y which will be your denominator.
3+2(15-11)
The first thing I did was
Change the (-) to a (+)
2) 2*15 = 30
3) change the 11 to -11
4) 2*11 = -22
5) 3+30+(-22) = ?
Step-by-step explanation:
3 + 2(15 - 11)
Step 1: use distributive property
2 x 15 = 30
2 x -11 = -22
3 + 30 + (-22)
3 + 30 - 22
Step 2: using PEDMAS, add the first two numbers
3 + 30 = 33
33 - 22
Step 3: subtract the last two numbers
33 - 22 = 11
Hellppp please ill give brainlesst
Answer: I got this-- its me again.. It's D again- I explained this time tho-
Step-by-step explanation:
2 cm represents 100 miles, then 1 cm represents 50 miles and .5 cm represents 25 miles.
Town A = 175 miles from town B.
Town C = 100 miles from town B.
SO, Town A is 175 miles + 100 miles = 275 miles from town C.