Answer:
16
Step-by-step explanation:
1 term is 4 years; and 4 terms times 4 years is 16 years
What is the function graphed below?
3
Oy=x-1
Oy=1 X-1
Oy=1x+11
Oy=x+1
The function that is graphed below is y = |x + 1|.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The graph of the equation y = |x + 1| is a V-shaped curve that opens upwards and has a vertex at the point (-1, 0).
The absolute value function, represented by the vertical bars surrounding the expression (x + 1), means that the function will always output a positive value, regardless of the input.
When x is greater than or equal to -1, the expression inside the absolute value bars is non-negative, so the equation simplifies to y = x + 1.
This is a linear function with a slope of 1 and a y-intercept of 1, which means that the graph of y = |x + 1| for x ≥ -1 is a straight line that passes through the point (-1,0) and slopes upward to the right.
When x is less than -1, the expression inside the absolute value bars becomes negative, so the equation simplifies to y = -(x + 1) = -x - 1.
This is also a linear function, but with a slope of -1 and a y-intercept of -1, which means that the graph of y = |x + 1| for x < -1 is a straight line that passes through the point (-1,0) and slopes downward to the right.
The two linear segments meet at the vertex (-1,0), which is the minimum point of the graph.
The graph of y = |x + 1| is a continuous, piecewise linear function with a minimum value of zero at x = -1.
Thus,
The function that is graphed below is y = |x + 1|.
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Alan had x dollars in his bank account. He deposited $255.73, and now his balance is $1,896. What was his previous balance?
5/6+1/4 these are fractions
What is a ratio? Can you give a real world example of a ratio and the 3 different ways to write that ratio. pls i need alot of help my parents dont help me and i do online school WILL be marked as brainlyist
Answer:
2:3
2 to 3
or a fraction bar
Step-by-step explanation:
Answer:
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).
3 different ways you can write that ratio-
1) 4 to 3
2) 4:3
3) 4/3 (fraction)
Step-by-step explanation:
hope this helped:)
Suppose that 13 inches of a wire cost $.78 at the same rate how much in cents will 31 inches of wire cost
Answer:
1.86
Step-by-step explanation:
Important Info:
13 inches of wire cost = .78
Question to Answer:
How much in cents will 31 inches of wire cost?
Explanation/Solution:
Since, 13 inches of wire cost .78 then Find the Cost of 1 Inches..
To do that we have to Divide..
.78 ÷ 13
=
0.06
So, 1 Inches of Wire Cost 0.06.
Hence, 31 · 0.06
= 1.86
Therefore, 31 Inches of wire cost 1.86.
[ RevyBreeze }
Solve for C: C-9(greater than or equal too sign)9
Answer:
[tex]{ \tt{C - 9 \geqslant 9}} \\ \\ { \tt{C \geqslant 9 + 9}} \\ \\ { \rm{answer}} : \: { \tt{C \geqslant 18}}[/tex]
What is the answer to | 6-4|-|3-8|
Answer:
-3
Step-by-step explanation:
Let's do the sums, and let's remember that the absolute value of a number is the number itself if positive, or it's opposite if negative [tex]|6-4|-|3-8|= |2| -|-5|=2-5=-3[/tex]
My mom gave me 5 dollar and I had 6 dollar and my dad gave me 8 dollar how much money I have?/
Answer:
19
Step-by-step explanation:
You had 6 dollars and your mom gave you 5. 6 + 5 = 11.
You dad gave you 8 dollars.
11 + 8 = 19
Answer:
19 dollars
Step-by-step explanation:
5+6+8=19
If you started off with 6 dollars and your mom gave you 5 you now have 11. If your dad gave you another 8 on top of the 11 you already had you now have 19.
Identify the horizontal asymptote of f(x) = 4 x over 7. Y = 0 y = 4 over 7 y = 7 over 4 No horizontal asymptote.
The horizontal asymptote of the function [tex]g(x) = \frac{4x}{7}[/tex] is 4
Given the function, [tex]g(x) = \frac{4x}{7}[/tex], the horizontal asymptote is the coefficient of the variable of the function at the numerator.
From the given function, the expression at the numerator is 4x.
h(x) = 4xFor instance, if we have a function y = ax, the variables of the function are x and y and the coefficient is "a"Similarly for the expression h(x) = 4x, the coefficient of the expression is 4
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Answer: C
Step-by-step explanation: because if you use substutuion you get it from proccess of elimaniation
Ricky spends $103. 19 in additional interest and charges on monthly payments as the result of a prior bankruptcy. If Ricky had been able to save this money for one year and then put it into a savings account earning 3. 1% simple interest, how much money could he have in savings after two more years? a. $1,238. 28 b. $1,276. 67 c. $1,315. 06 d. $2,476. 56.
The amount of money he could have in savings after two more years is:c. $1,315. 06.
First step is to calculate the 12 month saving
Saving= 12 month × $103.19
Saving = $1238.28
Second step is to calculate the interest earned
Interest = Prt
Interest= $1238.28×·0.031×1
Interest= $38.39
Third step is to calculate the balance after 2 years
Saving= $1238.28 +(2 years × $38.39)
Saving= $1238.28 +$76.78
Saving= $1315.06
Inconclusion the amount of money he could have in savings after two more years is:c. $1,315. 06.
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rewrite the two statements as a single biconditional statement: A rectangle is a quadrilateral that has all perpendicular sides. If all sides of a quadrilateral are perpendicular, then it is a rectangle.
Your friend claims that only true conditional statements have a true contrapositive. is your friend correct? explain your reasoning
A) The single biconditional statement of the given statement is;
A quadrilateral is a rectangle if and only if it has all perpendicular sides
B) The statement made by your friend about only true conditional statements having a true contrapositive is; True
A biconditional statement is one that combines 2 conditional statements that are related to one another. An example of a biconditional statement is;
The polygon has only four sides if and only if the polygon is a quadrilateral.
That biconditional statement has combined two individual conditional statements.
Now, to our question, we are given two statements;
Statement 1; A rectangle is a quadrilateral that has all perpendicular sides.
Statement 2; If all sides of a quadrilateral are perpendicular, then it is a rectangle.
Combining both statements means that the biconditional statement will be; A quadrilateral is a rectangle if and only if it has all perpendicular sides
B) A contrapositive is when we switch and negate the hypothesis and the conclusion of a conditional statement. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."
Thus, if the conditional statement is true, then we will have a true contrapositive.
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35 out of 50 students in a class wear glasses. What percentage of students in the class wear glasses?
Answer:
70%
Step-by-step explanation:
Percentage is out of 100
35/50 change denominator
multiply both numerator and denominator by 2
70/100= 70%
Use the formula ( v = u + at ) to work out the value of v : when u =6, a = 4, t =30
Answer:
V = 126
Step-by-step explanation:
Step 1) Given that u = 6, a = 4 and t = 30 the equation looks like this: V = 6 + 4(30) (V = U + AT)
Step 2) Multiply 4 by 30 to get 120 and add six to get the answer V = 126.
helloo!!! please help me on this !!!!
It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°
[tex]\mathfrak{10x - 18 = 8x} [/tex]
[tex]\mathfrak{10x - 8x = 18} [/tex]
[tex]\mathfrak{2x = 18} [/tex]
[tex]\mathfrak{x = \dfrac{18}{2}} [/tex]
[tex]\underline{\mathfrak{x = 9}} [/tex]
Measure of ∠R :
[tex]\mathfrak{8x} [/tex]
[tex]\mathfrak{8(9)} [/tex]
[tex]\boxed{\mathfrak{72^{\circ}}} [/tex]
ღ ꪑ꠸᥅ꫀꪊ
PLEASE HELP! No phony answers, thanks! Happy holidays, Merry Christmas!!
Step-by-step explanation:
(f+g)(x) means we just add the 2 functions, so we have
(x-3) + 2x² = 2x² + x - 3
(f-g)(x) means we subtract g(x) from f(x), so we have
(x-3) - (2x²) = -2x²+x-3
Assuming that the dot signifies a multiplication sign and not a composition sign, we have
(f*g)(x) = f(x) * g(x)
= (x-3) * 2x²
= 2x³ - 6x²
Plugging -2 in, we get
2(-2)³-6(-2)² = -16 -24 = -40
Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?
Answer:
Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?
Answer:
Solution here,
Principal=?
Time =3 year
Rate of percent= 4.5
SIMPLE intrest=$405
Now
Principal=(SIMPLE INTREST × 100)/(TIME × RATE)
=$40500/13.5
=$3000
−3.6−1.9t+1.2+5.1t ////////////////////////////////////////////////////////////
Answer:
3.2t -2.4
Step-by-step explanation:
Combine like terms then solve (-1.9t +5.1t)+(-3.6+1.2)
Graph A (-3.-2), B (-5,-4), and C (-3,-4)
Pls solve the problems
Graph attached
help me solve this please
Answer:
[tex] \sqrt{8} [/tex]
Step-by-step explanation:
an
irrational number can only be written in the form with never ending,non-repeatinng digits after the decimal comma
Find the value of x
3x = 9²
[tex]\huge\boxed{Hi\:there!}[/tex]
[tex]\huge\sf{3x=9^2}[/tex]
[tex]\huge\sf{3x=81}[/tex]
[tex]\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}[/tex]
[tex]\huge\sf{x=27}[/tex]
[tex]\huge\boxed{Hence,\:x=27.}[/tex]
[tex]\huge\sf\underline{Hope\:it\:helps}[/tex]
[tex]\boxed{CheerfulGirlie\:here\:to\:help}[/tex]
Find the value of x
3x = 9²
Answer:-x = 27
Explanation:-=> 3x = 9²
=> 3x = 81 [9² = 9×9 = 81]
=> x = 81/3
=> x = 27
Justin took 55 minutes to get to school and his best friend Dwayne took 3/4 hours. How much time did they take to get to school altogether?
Answer:
100 mins or 1⅔ hrs
Step-by-step explanation:
¾ hr = ¾ × 60 mins
¾ hr = 45 mins
55 + 45 = 100
100 mins = 100 × hr/60
100 mins = 1⅔ hrs
Answer:
100 mins or 1⅔ hrs
Step-by-step explanation:
¾ hr = ¾ × 60 mins
¾ hr = 45 mins
55 + 45 = 100
100 mins = 100 × hr/60
100 mins = 1⅔ hrs
So it took them 1 2/3 hrs to get to school
what is the 78th term of the arithmetic sequence -4, -2, 0,
Answer:
T78=150
Step-by-step explanation:
Tn=a+(n-1)d
T78=-4+(78-1)2
T78 =-4+(77)2
T78 =-4+154
T78=150
Which expression is equivalent to 9x – 2x2 + 4x – x?
Answer:
-2x^2+12x
Step-by-step explanation:
I have to mach the special of angles
Morgan has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at $43, before discount and tax. After the discount, and before tax, the price is $34.40. Find the percent discount.
Answer:
Ive alredy answered your quesiton but what ever
20%
43*0.8=34.4
Hope This Helps!!!
Records show that Oliver is typically 10–30 minutes late for his shift at work. The distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve.
A uniform density curve is at y = StartFraction 1 Over 20 EndFraction.
Company policy requires employees to be less than 12 minutes late for work. What percentage of the time will Oliver meet company policy?
6.7%
10%
60%
90%
Based on the information given, the percentage of time that'll be required to meet the policy will be 10%.
From the complete information, the probability distribution will be:
= 1/(b - a) = 1/(30 - 10) = 1/20
Since the company policy requires employees to be less than 12 minutes late for work, the percentage of the time that Oliver will meet company policy will be:
= (12 - 10) × 1/20
= 2 × 1/20
= 1/10
= 10%
In conclusion, the correct option is 10%.
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3(x+2)+5x how do i simplify that expression?
Answer:
2(4x+3)
Step-by-step explanation:
Distribute 3 ( + 2 ) + 5 to 3 + 6 + 5
Combine the terms 3 + 6 + 5 to 8 + 6
Common factor Factor 3 ( + 2 ) + 5 to 2 ( 4 + 3 )
please help me it's important
Answer:
circumference=2×3.142×radius
radius=16.8÷2=8.4
so,
circumference=52.7856cm
Solve the equation below and explain how you solved it
x- 5 (x-1) = x- (2x-3)
(No bots or u will be reported)
Answer:
x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
x - 5(x - 1) = x - (2x - 3) ← distribute parenthesis and simplify both sides
x - 5x + 5 = x - 2x + 3
- 4x + 5 = - x + 3 ( add x to both sides )
- 3x + 5 = 3 ( subtract 5 from both sides )
- 3x = - 2 ( divide both sides by - 3 )
x = [tex]\frac{2}{3}[/tex]
A circle has diameter 18 inches, and a chord is 14 inches long. What is the distance in inches from the chord to the center of the circle, to the nearest hundredth?
Answer:
Let O be the center of a circle whose radius is r cm , in which AB= 14 cm long
cord is at a distanceof 24 cm from O. Draw a perpendicular OD on AB , thus ,
OD= 24 cm.
In right angled triangle. ODB
OB^2 = OD^2+ DB^2
r^2 =(24)^2+(AB/2)^2 = 576+(14/2)^2
r^2 = 576+ 49=625
r = √625. =25 cm. Answer.