Answer:
C
Step-by-step explanation:
Third table represents the second piece of the function f(x)
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given function is given by -3.5x+0.5, x<1 and 8-2x≥1
The second piece of the function f(x) is 8-2x ,x≥1
Now, we substitute some values of x and find the corresponding function values and check which table satisfy the points.
For x = 1
f(1)=8-2(1)=6
f(1)=6
For x = 2
f(2)=8-2(2)=4
f(2)=4
For x = 3
f(3)=8-2(3)=2
f(3)=2
Among the given tables, third tables contains these values.
Hence, Third table represents the second piece of the function f(x)
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X 2 +10x+22=13x, squared, plus, 10, x, plus, 22, equals, 13 1) Rewrite the equation by completing the square. Your equation should look like (x+c)^2=d(x+c) 2 =dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or (x-c)^2=d(x−c) 2 =dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d.
Answer:
(x + 5)^2 = (5 - 3)^2
Step-by-step explanation:
Given the equation;
x^2 + 10x + 22 = 13
We have;
x^2 + 10x = 13 - 22
x^2 + 10x = -9
Adding half of 10 to both sides and completing the square as usual, we have;
(x + 5)^2 = 5^2 + (-9)
(x + 5)^2 = (5 - 3)^2
The rewritten equation, after completing the square, is
(x - 3/2)² = -79/4.
To rewrite the equation x² + 10x + 22 = 13x as (x + c)² = d or (x - c)² = d, we need to complete the square on the left side of the equation.
Step 1: Move the constant term (22) to the right side of the equation:
x² + 10x = 13x - 22
Step 2: Move all terms involving x to the left side:
x² + 10x - 13x = -22
x² - 3x = -22
Step 3: Take half of the coefficient of x (-3) and square it.
To both sides of the equation, add the following value:
x² - 3x + (-3/2)² = -22 + (-3/2)²
Simplifying:
x² - 3x + 9/4 = -22 + 9/4
Step 4: Make the right side of the equation simpler:
-22 + 9/4 = -88/4 + 9/4 = -79/4
Step 5: The left side of the equation should now be written as a perfect square trinomial:
(x - 3/2)² = -79/4
Therefore, the rewritten equation, after completing the square, is
(x - 3/2)² = -79/4.
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what is the slope of the line 5x +2y = -15
Answer:
-5/2
Step-by-step explanation:
5x +2y = -15
-5x -5x
2y = -5x - 15
y = -5/2x - 7.5
y = mx + b
Slope (m) = -5/2
down 5, right 2
Find the domain and Range
f(x)= 2/7x-2
Answer:
Domain: {x|x∈R}
Range: ,{y|y∈R}
Step-by-step explanation:
The work shown is a way to derive Tangent (x + y) = StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction
What expressions go in the derivation of the tangent sum identity in place of A, B, and C?
Cos y cos x tan y sin x
Answer:
A: cos x
B: cos y
C: tan y
Step-by-step explanation:
The missing value of A, B and C are as follow:
A: cos x
B: cos y
C: tan y
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
sin (x-y)/ cos (x- y)
Step 2:
= sin x cos y + cos x sin y / cos x cos y - sin x sin y
Step 3:
= (sin x cos y + cos x sin y) / cos x cos y ÷ ( cos x cos y - sin x sin y ) / cos x cos y
step 4:
= sin x cos y/ cos x cos y + cos x sin y / cos x cos y ÷
(cos x cos y / cos x cos y - sin x sin y / cos x cos y)
Step 5:
= tan x + tan y / 1- tan x tan y
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On weekdays it costs £6.50 per hour to hire a tennis court at Meadway
Tennis Club. On Saturdays the cost is 30% more. How much does it cost to
hire a court for 2 hours on a Saturday?
Answer: £16.90
Step-by-step explanation:
From the question, we are informed that it costs £6.50 per hour to hire a tennis court at Meadway Tennis Club but that on Saturdays the cost is 30% more. The cost in Saturdays per hour will then be:
= £6.50 + (30% × £6.50)
= £6.50 + ( 0.3 × £6.50)
= £6.50 + £1.95
= £8.45
The cost to hire a court for 2 hours on a Saturday will then be:
= £8.45 × 2
= £16.90
I need help with my homework
Answer:
The measure of the arc RQ is 160°
Step-by-step explanation:
In any circle, the measure of the subtended arc of an inscribed angle is twice the measure of this inscribed angleThe measure of any circle is 360°Let us use these rules to solve the question
In the given figure
∵ ∠RPQ is an inscribed angle subtended by arc RQ
∴ m of arc RQ = 2 × m∠RPQ
∴ m∠RPQ = 5x + 15
∴ m of arc RQ = 2 × (5x + 15)
→ Multiply the bracket by 2
∴ m of arc RQ = 2(5x) + 2(15)
∴ m of arc RQ = 10x + 30
∵ The measure of the circle = 360°
∵ The sum of the measures of arcs RQ, QP, and PR equals the measure
of the circle
∵ m of arc QP = 6x - 12
∵ m of arc PR = 9x + 17
→ Add them and equate the sum by 360°
∴ 10x + 30 + 6x - 12 + 9x + 17 = 360
→ Add the like terms in the left side
∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360
∴ 25x + 35 = 360
→ Subtract 35 from both sides
∴ 25x = 325
→ Divide both sides by 25 to find x
∴ x = 13
→ To find the measure of arc RQ substitute x by 13 in its measure
∵ m of arc RQ = 10(13) + 30 = 130 + 30
∴ m of arc RQ = 160°
∴ The measure of the arc RQ is 160°
these 2 questions ASAP!! BRAINLIEST & 30 points!!
Answer:
1.) 2/5
2.) -7/5
Step-by-step explanation:
Slope Formula: m = y2 - y1/x2 - x1
1.) 2/5
m = y2 - y1/x2 - x1
m = -1 - (-3)/0 - (-5)
m = -1 + 3/0 + 5
m = 2/5
2.) -7/5
(-2,3) and (3,-4)
m = y2 - y1/x2 - x1
m = -4 - 3/3 - (-2)
m = -4 - 3/3 + 2
m = -7/5
If you were outlining an essay using the sentences below, which one would you use as your thesis statement? O A. Train travel is more economical than car travel. B. Although there are advantages to both, train travel is superior to car travel O C. On a train you can relax, sleep, and do other activities you couldn't do if you were driving. OD. Riding on a train is safer than driving in a car.
Answer: I think it is D
1. There are 4 quarters in 1 dollar.
a) Shade 1 of a dollar.
2
1
a
+
b) How many cents are in
2
of a dollar?
NE
Help plss
Answer:
1) Shade 2.
2) 50 cents
Step-by-step explanation:
1/2 of a dollar is 2 so shade 2.
B) 50 cents.
Hope this helps Happy Thanksgiving !!!!!!,!
A regular polygon first maps directly onto itself after rotating 10 degrees. How many sides does the polygon have?
Answer:
I think it is 8.
Step-by-step explanation:
But I might be wrong.
Answer:
36 sides
Step-by-step explanation:
360 degrees divided by the number of sides equals the rotation degrees. So in order to have your polygon map itself after rotating 10 degrees, it would have to have 36 sides. 360/36 = 10.
What is x+4=10 answer fast
Answer:
x=6
Step-by-step explanation:
10-4=6
do this to get brainiest!
Answer: 8. 3^4+n^4, 9. 7^3+m^4, and 10. s+2t^3.
Step-by-step explanation:
Share what you think loves is. I think love is when you can sit next to each other and not say anything watching tv or something on your own and still have a good time, or when you can make my day by just showing up. what is 7+2000000?
Answer:
2000007
Step-by-step explanation:
Solve: 0.072 = w - 3.6 w = _____
Answer:
Step-by-step explanation:
0.072=w-3.6w
w= -0.0276923
Answer:
w = 3.672
Step-by-step explanation:
0.072 = w - 3.6
0.072 + 3.6 = w
3.672 = w
If you were evaluating the expression (20 - 2^4)^4(20−24 )4 - 6, what would you do first?
Plz help!!!!!!!!!!!!!!!!!!!!!
Answer:
c = 5n
Step-by-step explanation:
The cost is equal to the price times the number of notebooks
Write the equation of the line that has a slope of -3 and a y-intercept of 2 in slope-intercept form.
Answer:
Step-by-step explanation:
Well, the linear equation of a line is:
y=mx+b
Where
m
is the slope and
b
is your y-intercept
So, you can just plug the numbers into the equation
m = − 3
and
b = − 2
y = − 3x-2
Can you guys check these :) I’ll give brainleist :)
Answer:
9. No
10. Yes
Step-by-step explanation:
The first one is not, since you have (3, 3) and (3, 9). In a function, each x maps to a single y.
The second one is since every x appears only once.
heyo bros i need you're help here.........
Answer:
prime number number that are divisible by itself n 1
=10
A photograph of sides 35cm by 22cm is mounted onto a
frame of external dimension 45cm by 30cm. Find the area
of the border surrounding the photograph.
===================================================
Work Shown:
A = area of smaller rectangle
A = length*width
A = 35*22
A = 770
B = area of larger rectangle
B = length*width
B = 45*30
B = 1350
C = area of the border only
C = B - A
C = 1350-770
C = 580 square cm
Step-by-step explanation:
Dimension of photograph is 35cm and 22cm.
And external dimension of photo frame is 45cm and 30cm
So, the area of the border surrounding the photograph=Area of photo frame−Area of photo.
So, The area of the border surrounding the photograph=45×30−35×22
=1350−770=580cm
2
PLEASE HELP, I'VE ASKED THIS QUESTION THREE TIMES AND NO ONE WILL ANSWER SO PLEASE HELP!!!!!!!!!!!!!!!!!!!
Describe how you would decide which variable term to add or subtract on both sides of the equation -3x + 7 = 4x - 9.
(Sorry if this is easy, I'm bad at math.)
(Written response, please help me!!)
Answer:I would add 3x on both sides because it would allow you to have a positive variable saving you time and effort.
Step-by-step explanation:7=7x-9
Answer:
Personally I always do the smallest variable in order to make it easier
Step-by-step explanation:
in this case i would add 3x to both sides because it's (-3x) smallest out of the two. so then the equation would be 7 = 7x - 9
from there you would add 9 to both sides and get 16 = 7x
then x = 2.29 (it's rounded up from 2.285...)
The drop down options are explicit and recursive.
Answer:
Recursive
Explicit
Step-by-step explanation:
An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.
The recursive rule is that we have the initial term. To find the subsequent term, we will take that previous term and add it to our common difference.
Hence, we are relating the previous terms to define the nth term.
For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.
1+2=? may be 3
plz help me
Answer:
I'm pretty sure it is 3
Step-by-step explanation:
Not too sure though
ASAP plzzz thanks
What is the next number in the sequence below?
3,6,9,12,?
O A. 21
O B. 14
O C. 18
O D. 15
Answer:
its 15 ur counting by 3's
Step-by-step explanation:
Answer:
it is 15
Step-by-step explanation:
just go by 3's 3,6,9,12,15,18,21,24,27,30
Draw a street diagram based on the given information
1) Fox Boulevard and
Harty Way are parallel
2) Barbosa Avenue
intersects Harty Way
and Fox Boulevard
I
3) Hankins Salon and
Chase bank are same
side interior angles
4) Buckley Park and Town
Hall are alternate
exterior angles
5) Popeye's and
McDonalds are on
corners that are
supplementary
Answer:
See attachment.
Step-by-step explanation:
The name of the streets and places are abbreviated as follows:
✍️The Streets:
Fox Boulevard = FB
Harty Way = HW
Barbosa Avenue = BA
✍️Places:
Hankins Salon = HS
Chase bank = CB
Buckley Park = BP
Town Hall = TH
Popeye's = PP
McDonalds = MD
Based on the information given, a diagram of the streets have been drawn and attached below.
The function y= 19,800/x is a rational function. Use this function to answer each question. What are the asymptotes of the function? Check all the apply. • x=0 • x= 19,800 • y= 0 • y= 19,800
Answer:
Step-by-step explanation:
Given the function y = 19800/x
Vertical asymptote occurs at when f(x) = 0 where;
f(x) is the denominator of the given function.
From the expression given: f(x) = x
Since f(x) => 0, hence x = 0
To get the horizontal asymptote, we will look at the degree of the numerator and denominator. If the degree of numerator is less than the denominator, the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.
Since 0<1, hence the horizontal asymptote is 0
x = 0, y = 0
Answer:
x = 0
y = 0
second question is b
third question is b
and forth is c
Step-by-step explanation:
?/1 Movie Theater Admission Adult: $10 Children (under 13): $8 Matinee (before 6 P.M.): $5 Connor (age 13), his sister (age 7), and Connor's two parents go to a movie on Saturday night. Write an expression for the total cost. What is the total cost?
Answer 10$ + 8$+5$= answer that first.
Step-by-step explanation:
simplify 3square root 5 over 4square root of 5
Answer:
5[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
This is the answer because:
1) We have to do 5^1/3 x 5^-1/4
2) Next, we do 5^1/3 - 1/4 which is 5^1/12
Therefore the answer is 5^1/12
Hope this helps!
The simplified value of the given expression is 5¹/₁₂
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, [tex]\frac{\sqrt[3]{5} }{\sqrt[4]{5} }[/tex], we need to simplify it,
5¹/₃ / 5¹/₄
= 5⁽¹/₃-¹/₄⁾
= 5¹/₁₂
Hence, the simplified value of the given expression is 5¹/₁₂
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Julie started with 20 prices of gum
Answer:
The answer is C) 15
Step-by-step explanation:
If you replace each answer choice with the varibale, (x) then 15 would be the only choice that fits properly.
Equation: 20-x = 35-(2x)
when replacing 15 with x this is your new equation...
20-15 = 35-(2x15)
5 = 35-30
5=5
hope this helped :)
brainliest?
Round 10,982 to the nearest thousand
Answer: 11,000 - rounded to the nearest thousand!