Evaluate piecewise functions
Pls answer
Answer:
-23
Step-by-step explanation:
x = -5 lies in the last piece
h(-5) = 4(-5) - 3
= -20 - 3
= -23
Step-by-step explanation:
Step 1: Find which piece-wise function it is in
Equation 1 → x < -7
Let x = -5 → (-5) < -7 ← False
Equation 2 → -7 ≤ x < -5
Let x = -5 → -7 ≤ (-5) < -5 ← False
Equation 3 → x ≥ -5
Let x = -5 → (-5) ≥ -5 ← True
Step 2: Find the value of h(-5)
[tex]h(-5) = 4x - 3[/tex]
[tex]h(-5) = 4(-5) - 3[/tex]
[tex]h(-5) = -20 - 3[/tex]
[tex]h(-5) = -23[/tex]
Answer: [tex]h(-5) = -23[/tex]
Find the mean absolute deviation for the set below.
104, 86, 357, 532, 70, 93, 260, 89, 171, 429
Answer:
430
Step-by-step explanation:
Answer: 430
Step-by-step explanation:
what’s the verdict boys
Answer:
[tex]y=\frac{1}{26}x-2[/tex]
Step-by-step explanation:
[tex]x-26y=52\\\mathbf{y=mx+b}\:\mathrm{is\:the\:slope\:intercept\:form\:of\:a\:line\:where}\:\mathbf{m}\:\mathrm{is\:the\:slope\:and}\:\mathbf{b}\:\mathrm{is\:the}\:\mathbf{y}\:\mathrm{intercept}\\\mathrm{Convert\:to\:slope\:intercept\:form}:\quad y=\frac{1}{26}x-2\\x-26y=52\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\x-26y-x=52-x\\\mathrm{Simplify}\\-26y=52-x\\\mathrm{Divide\:both\:sides\:by\:}-26\\\frac{-26y}{-26}=\frac{52}{-26}-\frac{x}{-26}[/tex][tex]\mathrm{Simplify}\\\frac{-26y}{-26}=\frac{52}{-26}-\frac{x}{-26}\\\mathrm{Simplify\:}\frac{-26y}{-26}:\quad y\\\frac{-26y}{-26}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{26y}{26}\\\mathrm{Divide\:the\:numbers:}\:\frac{26}{26}=1\\=y[/tex]
[tex]\mathrm{Simplify\:}\frac{52}{-26}-\frac{x}{-26}:\quad -\frac{52-x}{26}\\\frac{52}{-26}-\frac{x}{-26}\\\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{52-x}{-26}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{52-x}{26}\\y=\frac{1}{26}x-2\\\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\y=\frac{1}{26}x-2[/tex]
A local diner purchased a jukebox for 9400. The business makes a down payment of 1000 and agrees to pay 36 payments of 275 per month find the finance charge.
$10,900
$3,600
$1, 500
$8,400
Answer:
Option (3). $1500
Step-by-step explanation:
Cost price of the jukebox = $9400
Down payment made by the diner = $1000
Diner agreed to pay the rest amount by $275 per month for 36 months
Total amount to be paid by the diner = Down payment + monthly payments
= 1000 + 275×36
= 1000 + 9900
= $10900
Finance charge = 10900 - 9400
= $1500
Therefore, option (3). 1500 will be the answer.
PLEASE HELP?!?!
Sorry for all the questions but PLEASE HELP!!!
What is the scale factor for this dilation? Please show your work
Answer:
Dilation factor is 2/3
Step-by-step explanation:
Look at both flat lines (M to S and M' to S') and find their lengths.
M to S = 9 units
M' to S' = 6 units
The triangle has gotten smaller so the dilation factor is a fraction
new/original = 6/9 = .66666666 or 2/3
Dilation factor is 2/3
the quotient of 4 and the number plus 17 is 5
Answer:
-1/3
Step-by-step explanation:
I am assuming you mean 4/x + 17 = 5
im braindead, i dont know.
Answer:
-8-(-11)-7= -4
B
Plug it in. Hope this helped!
Can a rational number be subtracted by a irrational number an equal a rational number?
Answer:
No
Step-by-step explanation:
The sum of a rational number and an irrational number is irrational.
What is the slope of the line y = 8?
Answer:
the slope of the line y=8 is 0
Step-by-step explanation:
0
2x + 3y = 6
x y
0 2
3 0
A line is described using the equation 2x + 3y = 6. The table lists the coordinates of two points on the line, the y-intercept and the x-intercept. Find the slope of this line.
A) The slope is 2.
B) The slope is 3.
C) The slope is −3/2
D) The slope is −2/3
Answer:
D)The slope is -2/3
Step-by-step explanation:
First, put this equation in slope-intercept form by subtracting 2x on both sides:
2x+3y=6
-2x. -2x
Your equation should be:3y=-2x+6
Then, divide the whole equation by 3 since y has to be by itself
3y=-2x+6
---- ------
3. 3
Your equation should be y=-2/3x+6
Since the slope in slope-intercept form is m in y=mx+b, -2/3×=m
Final answer:D) The slope is -2/3
What is the value of y
Answer: y=54
Step-by-step explanation: since a triangles angles =180 and you just have this equation 180-72=2y that equals 108=2y
Answer:
The answer is B. 54 degrees.
Step-by-step explanation:
A triangle must be 180 degrees when all three angles are added together. 180 minus 72 is 108 degrees, which you have to divide by two, because there are two y values.
You can check this by adding 72 plus 54 plus 54 to get 180 degrees total.
Plot the points (-8,7) and (5,7) on the coordinate plane below
Answer:
ok here you go
Step-by-step explanation:
i cant really plot them for you but i will help explain how to plot them.
the x-axis is the horizontal plane on the graph. the y-axis is the vertical plane on the graph. every coordinate has both a x and y point.
for you the x would be -8 and the y would be 7. first, you would go accross the x-axis to -8 and then go up to positive seven. you would be in the fourth quadrent in the graph. then you would do the same to the other pair. remember, (x,y)
Josh has a rewards card for a movie theater. He receives 15 points for becoming a rewards card holder. He earns 3.5 points for each visit to the movie theater. He needs at least 55 points to earn a free movie ticket. Which inequality can Josh use to determine x, the minimum number of visits he need s to earn his first free movie ticket? *
a. 55 ≥ 3.5x + 15
b. 55 ≥ 15x + 3.5
c. 55 ≤ 3.5x + 15
d. 55 ≤ 15x + 3.5
Answer:
C. 55 [tex]\leq[/tex] 3.5x + 15
Step-by-step explanation:
i found it on google
Answer:
c
Step-by-step explanation:
Which describes a correct way to construct a scatterplot?
A) When analyzing the number of home runs that a baseball player hit over several seasons, the season is the independent variable.
B) When analyzing the number of umbrellas that are sold during days with varying amounts of rain, the number of umbrellas that are sold is the independent variable.
C) When analyzing the number of registered voters by age, age is the dependent variable.
D)When analyzing the number of students that ride the school bus each day of the week, the day is the dependent variable.
Answer:b
Step-by-step explanation:
Took quiz
Answer:
A
Step-by-step explanation:
I took the test
guys 100 points. What is the formula of a cube?
Answer:
L x W x H
Yeet
:3
Bella wants to know how tall the oak tree in her back yard is, so she picks
a point that is 75 feet away from the base of the tree. She measures the
angle of elevation to be 40° from this point to the top of the tree. To the
nearest tenth of a foot, how tall is
A-89.4 feet
B-62.9 ft
C-48.2 ft
D-57.5 ft
Answer:
B = 62.9ft
Step-by-step explanation:
The distance where she is from the oak tree is 75ft,
The angle of elevation the stone makes with the top of the oak tree is 40°
The height of the tree is x ft
See attached document for better illustration
Using SOHCAHTOA,
Tanθ = opposite/ adjacent
θ = 40°
Opposite = x ft
Adjacent = 75ft
Tan40 = x / 75
X = 75 × tan40
X = 75 × 0.8390
X = 62.92ft
The height of the oak tree is 62.9ft
in 1900, greenville had a population of 4000 people. Greenville's population increased by 100 people each year. Springfield had a population of 1000 people. Springfields population increased bu 4% each year. In what year were the populations about equal?
Answer: year 1948
Step-by-step explanation:
1900 is our t = 0
The population of Greenville can be written as:
G = 4000 + 100*t
the equation for Springfield can be written as:
S = 1000*(1.04)^t
we want to find the value of t that makes S(t) = G(t)
4000 + 100*t = 1000*(1.04)^t
(4000 + 100*t) = 1.04^t
4 + 0.1*t = 1.04^t
now, you can graph both of this equations (left side and right side) and see in wich value of t the graphs intersect eachother, or you also may use different values of t until the values are about the same for both sides, which is the thing i did with the equation:
4 = 1.04^t - 0.1*t
You will find that the correct value is t = 48
So we can assume that in year 1948 the populations will be about the same.
You are given these direccions begin at the origin move right 4 units then down 3 units what ordered pair have you just graphed
Answer:
(4, -3)
Step-by-step explanation:
The origin is at (0,0). When you move right or left, you change the x-coordinate, or the first coordinate. You moved right which is in the positive direction so now your coordinate is (4,0).
When you move up or down, you change the y-coordinate, or the second coordinate. You moved down which is in the negative direction so your final coordinate is (4, -3).
Answer:
4,-3
Step-by-step explanation:
i got it
Evaluate |15-15|
If you could also explain it to me I’d appreciate.
your answer is 0
Step-by-step explanation:
What operation do you do to the exponents when you are told to multiply ?
What property is this called
5(3x+6)
Solve the following problem 2x+4+5x=8x-6
PLEASE I NEED HELP URGENT
Answer:15x+-2
Step-by-step explanation:
you add 2x+5x+8x=15x
then you add 4+-6
Convert the weight from kilograms to grams. Write your answer in standard form.
8.3×10^−6 kg = ___ g
Answer:
83g
Step-by-step explanation:
Answer:
0.00829999999984360089 grams
Step by step
8.2999999998436e-6 converts to 0.00829999999984360089
−6x+14<−28 OR 9x+15≤−12
Answer:x>7 or x ≤ -3
Solving the 1st inequality
-6x +14 < -28 --------------- (Collect like terms)
-6x < -28 - 14
-6x < - 42 -------------------- (Divide both sides by -6)
Note: If you decide an inequality expression by a negative value, the inequality sign changes)
-6x/-6 > -42/-6
x > 7
Solving the 2nd inequality
9x + 15 ≤ −12 ----------- (Collect like terms)
9x ≤ −12 - 15
9x ≤ −27 ------------------(Divide both sides by 9)
9
9x/9 ≤ −27/9
x ≤ -3
Bring both results together, we get
x>7 or x ≤ -3
The final result is complex (i.e. can't be combined together).
Step-by-step explanation:
Answer:
x> 7 OR x ≤−3
Step-by-step explanation:
−6x+14<−28 OR 9x+15≤−12
Solve them separately and then put back together
−6x+14<−28
Subtract 14 from each side
-6x +14-14 <-28-14
-6x <-42
Divide each side by -6, remembering to flip the inequality
-6x/-6 > -42/-6
x> 7
9x+15≤−12
Subtract 15 from each side
9x +15-15 ≤−12 -15
9x ≤−27
Divide each side by 9
9x/9 ≤−27/9
x ≤−3
The price of gasoline was 96¢ a gallon
before it went up 25%. How much did
it go up?
URGENT
The volume of a sphere with a radius of 5 cm is approximately _[blank]_ cm3.
Enter the value that correctly fills in the blank in the previous sentence.
Use 3.14 for π, and round your answer to the nearest hundredths place if necessary.
Answer: The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a sphere (V) = 4/3 π radius³
Replacing with the values given and solving for V (volume)
V = 4/3 (3.14) 5³ = 4/3 (3.14) 125= 523.33 cubic centimeters
The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.
Feel free to ask for more if needed or if you did not understand something.
helpppppppppppppppppppppppppppppppppp
The 1st pic is D
The 2nd pic is 8 units
Find the missing angles and sides
Step-by-step explanation:
m∠1 = 180-100 = 80
m∠2 = 180-150 = 30
m∠3 = 180-(80+30) = 180 - 110 = 70
using the law of sine :
AC/sin(m∠2) = 5/sin(m∠3) ⇒ AC = sin(m∠2)*(5/sin(m∠3)) = sin(30)×(5÷sin(70))
=2.66044443119
CB/sin(m∠1) = 5/sin(m∠3) ⇒ CB = sin(m∠1)*(5/sin(m∠3)) ⇒ CB = sin(80)×(5÷sin(70)) = 5.240052604588
How many integers are there…
Between m and n, including m and n,
Between m and n, not including m and n?
Answer:
there are infinite integers.
Given that ACDE, CBFG, and ABIH are squares and the side of the equilateral △ABC is 1 in. Find the square of the value of the shaded area.
Answer:
6.75
Step-by-step explanation:
The shaded area amounts to two congruent equilateral triangles. Each has a side length of 2(1 in)cos(30°) = √3 in.
The height of an equilateral triangle with side length √3 is ...
height = (√3 in)sin(60°) = 3/2 in
Then the area of the two equilateral triangles is ...
A = bh = (√3 in)(3/2 in) = 3√3/2 in^2
The square of the numerical value of the area is ...
A^2 = ((3/2)(√3))^2 = 27/4 = 6.75
The square of the shaded area is 6.75.
Which of the following is a parent function?
Answer:
D
Step-by-step explanation:
D is a parent function because it is in the form of [tex]y=x^{2}[/tex]. Normal functions have the equation [tex]y=ax^2+bx+c[/tex].
helpppp asappp
solve 2|x+1|=8
Answer:
x = 3 x = -5
Step-by-step explanation:
2|x+1|=8
Divide each side by 2
2/2|x+1|=8/2
|x+1| = 4
There are two solutions to an absolute value, one positive and one negative
x+1 = 4 x+1 = -4
Subtract 1 from each side
x+1 -1 = 4-1 x+1-1 = -4-1
x = 3 x = -5
Answer:
x=3 and -5
Step-by-step explanation:
to start with when you work with equations there will be two answers, no solution set or the answer will be 0. in this case there are two answers.
2/x+1/=8(first you remove all the things that are extra to the equation)
2 2
/x+1/=4 in this case it has two answers because 4 is greater than 0.
so you remove the bracket.
x+1=4 or x+1=-4
x=4-1 x=-4-1
x=3 x=-5