Answer:
The length is 23 inches and the width is 6 inches.
Step-by-step explanation:
The perimeter for a rectangular shape is represented as:
P = 2L + 2W, where L represents length and W represents width
We can represent the length as:
L = 3W + 5
Substituting this into the perimeter function, we get:
P = 2 (3W + 5) + 2W
Substituting 58 for P, we get:
58 = 2 (3W + 5) + 2W
58 = 6W + 10 + 2W
58 = 8W + 10
58 - 10 = 8W + 10 - 10
48 = 8W
48 / 8 = 8W / 8
6 = W
With 6 being the established value for the width, we can substitute this back into the equation for length:
L = 3W + 5
L = 3(6) + 5
L = 18 + 5
L = 23
To check our work, we can substitute both the width and length into the perimeter equation:
P = 2L + 2W
58 = 2(23) + 2(6)
58 = 46 + 12
58 = 58
Therefore, length is 23 inches and the width is 6 inches.
Evaluate the piecewise function for the given values of x by
matching the domain values to the range values.
Answer:
For x = -4f (x) = x + 2
We evaluate the value of x = -4
f (-4) = (-4) + 2
f (-4) = -2
Answer is : f (-4) = -2For x = 4f (x) = -2x + 4
We evaluate the value of x = 4
f (4) = -2 (4) +4
f (4) = -8 + 4
f (4) = -4
Answer is : f (4) = -4For x = 0f (x) = 3x -4
We evaluate the value of x = 0
f (0) = 3 (0) -4
f (0) = 0-4
f (0) = -4
Answer is : f (0) = -4The value of the function at x = 1 is, f(x) = - x - 4 which equals f(1) = - 3.
What is an absolute value function?We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.
In piecewise terms | x | = x for x ≥ 0 and | x | = - x for x < 0.
Similarly, A piecewise function can also be in terms of without modulus.
Given, f(x) = - x - 4 for x < 3.
f(x) = x² - 7, for 3 ≤x < 12.
f(x) = (120/x) + 5, for x ≥ 12.
Now, At x = 1, It satisfies,
f(x) = - x - 4 for x < 3.
Therefore, f(1) = - (-1) - 4.
f(1) = - 3.
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What work would I do to answer this question?
9514 1404 393
Explanation:
As you know, the correct answer choices are marked.
__
Translation can be accomplished by reflecting across two parallel lines. The amount of translation is double (twice) the distance between the lines. Any two lines with the same spacing will give the same translation.
Here, the translation is 4 up and 4 right. The amount by which each point is translated is 4√2 units in the direction "northeast", that is, along a line with a slope of 4/4 = 1.
Any line of reflection is a perpendicular bisector of the segment joining the original point and its image. This means we need to identify two lines that have a slope of -1 and that are separated by (4√2)/2 = 2√2 units.
The attachment shows that two lines with this slope that have a separation of 2√2 will have y-intercepts that differ by 4. (The lines shown happen to be the correct answer choices.)
The offered choices of lines have y-intercepts of {5, 6} and {10, 12}. The only pair of lines with y-intercepts that differ by 4 are y=-x+6 and y=-x+10.
_____
Additional comment
We have made sort of a qualitative argument for the correct answer. If you like, you can say that the two lines of reflection each cause the image to be located halfway to its destination. That mean, for example, for point R(2,2), the first image point is R'(4,4). The line of reflection, as we said above, is the perpendicular bisector of this. It will have a slope of -1 and go through the point (3, 3), so its equation is ...
y -3 = -1(x -3) ⇒ y = -x +6
Similarly, the second (final) image point is R''(6,6). We can find the other line of reflection to be one that has a slope of -1 and goes through the point (5, 5). Its equation is ...
y -5 = -1(x -5) ⇒ y = -x +10
These are two of the equations that are offered as answer choices, so should be selected.
As we said at the beginning, any lines with this spacing will do. We cannot presume at the start that each line of reflection will move the image half the distance.
the range of f:x to x*2 for the domain [-2,-1,0,1,2]
a) [0,1,8]
b)[-2,-1,0,1,2]
c) [-6,-3,0,3,6]
d) [-8,-1,0,1,8]
Answer: 4. I think I’m not sure
Step-by-step explanation:
hello can somebody help me
The perimeter of a rectangle is 14cm. The length of the rectangle is 4 cm more than twice the width. Find the dimensions of the rectangle.
Answer:
length = 6 cm
width = 1 cm
Step-by-step explanation:
l = length
w = width
l = 4 + 2w
2(4 + 2w) + 2w = 14
8 + 4w + 2w = 14
8 + 6w = 14
6w = 6
w = 1
find length:
l = 4 + 2(1)
l = 6
Evaluate 6h when h =8
For which of the following is x = -5 a solution? Select all that apply.
x + 10 = -5
-x2 + 50 = 25
2x1 = 10
5x<0
2x <10
Answer:
-x2 + 50 = 25
5x<0
2x <10
Step-by-step explanation:
I hope the answer satisfies you
Evaluating Expressions
Use the order of operations to help you solve,
56 + 9x2
100 + 5 X4
8 X 12 - 6
Answer:
See below for steps and answers, but answers are:
74
5
90
Step-by-step explanation:
Order of operations is: PEMDAS = parentheses, exponents, multiplication, division, addition, subtraction
1. 56 + 9 x 2
first we multiply:
= 56 + 18
then we add:
=74
-----------------------
2. 100 / 5 x 4
first we multiply:
= 100 / 20
then we divide 100 by 20:
= 5
-----------------------
3. 8 x 12 - 6
first we multiply:
= 96 - 6
then we subtract:
= 90
Please if you know Spanish, help me here
Answer:
the difference of double one number x and another number y. so 2x-y
7+40h
Step-by-step explanation:
there isnt an explanation just the answer
Please help! Brainliest to first who gets it right!
Answer:
17 converted to a decimal is 0.17
Step-by-step explanation:
Hope this helps
The SAS postulate involves two corresponding sides and their
corresponding
?
A) Included angle
B) Third angle theorem
C) Included side
Answer:
A) included angle
Step-by-step explanation:
Rhombus ABCD has a vertices whose coordinates are A(1,2) B(4,6) C(7,2) D(4,-2) What is the Area of the rhombus
Answer:
24
Step-by-step explanation:
rhombus area formula= (diagonal×diagonal)÷2
=6×8
=48÷2
=24
10
Select the correct answer
Mike launches a stone using a catapult from a height of 160 feet. The stone reaches its maximum height of 250 feet after 3 seconds, and it hits the ground after 8 seconds.
Which of the following graphs represents the trajectory of the stone?
Answer: W
Step-by-step explanation:
i took the test
Given f(x)=3x^3+kx-8, and the remainder when f(x) is divided by x-3 is 43, then what is the value of k?
Answer:
k= - 10
Step-by-step explanation:
43 = - 8 +3(27+k)
3(27+k) = 51
27 + k = 17
k = - 10
work out 18/36 - 2/6, give your answer in its simplest form
Determine the amplitude of the following graph.
Answer:
amplitude = 3
Step-by-step explanation:
the amplitude is the vertical distance from center of the wave to the crest or the trough
The amplitude of the graph because amplitude is the maximum value of the graph of a function.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a trigonometric function shown in the graph:
The amplitude is the maximum value of the graph attend or reaches in the graph.
Amplitude = [5-(-1)]/2 = 6/2 = 3
Thus, the amplitude of the graph because amplitude is the maximum value of the graph of a function.
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I dont know what To Put here srry
There is a question here it pic
Answer:
C = 12.5663706144 cm (round it any way you need)
Step-by-step explanation:
Circumference of a Circle:
C = 2πr
C = 2π(2)
C = 4π
C = 12.5663706144 cm
Enter the slope-intercept equation of the line shown below.
5
5
5
Answer:
y=-4x-4
Step-by-step explanation:
rise/run+ y-intercept
7. Emily and John will be hiking for 42 hours. Hikers should drink at least 2.7 cups of water for every 2 hours of hiking. How many cups of water should Emily and John drink?
Answer:
5cps.
Step-by-step explanation:
Because when you take 42/2=12 then divide 2.7 and you'll then get 5cps. Hope it right!
Which of the following is true about a pattern with the rule "Multiply by 2 and then add 1"
and a starting number of 1?
Answer:
b
Step-by-step explanation:
Answer: B
Step-by-step explanation: I think hope this helps
help plz due rnnnnnnnn
Answer:
I would help if I could see the question
Step-by-step explanation:
Hope u figure it out : D
Answer:
No solution
Step-by-step explanation:
The quadratic formula is
[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$.[/tex]
where a is the coefficient of x squared, b is the coefficient of x, and c is a regular number.
Here, we have
a = 1
b = 7
c = 16
Plugging in values, we have
[tex]\frac{-7 +\sqrt{49 - 4(1)(16)}}{2(1)}[/tex]
and
[tex]\frac{-7 -\sqrt{49 - 4(1)(16)}}{2(1)}[/tex]
The first equation solves to an i term, so there is no way that there is an answer.
The second equation is also an i term, meaning there are no solutions to this equation
Which graph shows an exponential function that nears a constant value as x approaches positive infinity and has a y-intercept at (0,3)?
A. X
B. Y
C. Z
D. W
Answer:
C. Graph Z is the correct answer
Step-by-step explanation:
It touches 0,3 and the right line is going towards infinite positive x’s
#plato
The exponent function of the graph will be W. Then the correct option is D.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ + c
Where c is the intercept.
Let the leading coefficient will be 1.
Then the equation will be
y = (b)ˣ + c
The exponent function has a y-intercept at (0, 3).
Then the exponent function is given as,
y = (b)ˣ + 2
Some points regarding exponent function.
The exponent function remains positive for the real value of the x.If the value of x approaches to the negative infinity, then the function tends to zero.If the value of x approaches to the positive infinity, then the function tends to infinity.At x = 0, the function interset the y-axis at (0, 3).The exponent function of the graph will be W.
Then the correct option is D.
More about the exponent link is given below.
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for brainiest:):):):):):):):)
Answer:
9. 81.3953% increase
10. 26.6667% decrease
Step-by-step explanation:
Hope this helps.
Which of the following expressions are equivalent to (x+y)-(-z)?
Choice a: (x+y)−z
Choice b: x+(y+z)
Choice c: None of the above
NEED ANSWER NOW
Nelson's triangle has angles of 62° and 74° what is the measure of the third angle
Answer:
44
Step-by-step explanation:
Since a triangle has a total of 180 degrees, 62+44=136
180-136=44
PLEASE ILL MARK BRAINLIEST!!!
Answer:108 I think
Step-by-step explanation:
A gift-wrapping box is in the shape of an oblique triangular prism.
A triangular prism is shown. The bases are triangle A B C and triangle F E D. A bisector is drawn from point E to point G on side F D. Line F D is extended to point H outside of the figure. Another line is drawn from point C to point H to form a right angle. The length of E G is 10 inches, the length of F D is 15 inches, the length of C H is 8 inches, and the length of A F is 10 inches.
If EG = 10 in., FD = 15 in., CH = 8 in., and A F = 10 in., what is the height of the prism?
in.
What is the base area, B?
square inches
What is the volume of the prism?
cubic inches
Answer:
Height- 8 in
Base Area- 75 square inches
Volume- 600 cubic inches
Step-by-step explanation:
Because It´s right
Answer: 8in, 75 square inches, 600 cubic inches
correct on edge
Tuition for one year at state technical institute is about 4200. Josh would like to attend this institute and will save money for each month for 4 years. His parents will give him 1500 for his first years tuition. What’s the minimum amount of money josh must save to have enough money to pay for Josh’s first year of tuition?
Answer: pretty sure it’s $56.25
Step-by-step explanation:
4200-1500= 2700 divided by 48 months (4 years).
PLS HELP BRAINLIEST TO CORRECT ANSWER
Haley substituted the values of a, b, and c into the quadratic formula below.
x = StartFraction negative (negative 10) plus or minus StartRoot (negative 10) squared minus 4 (7)(negative 2) EndRoot Over 2(7) EndFraction
What was Haley’s function in standard form?
f(x)=___x2+___x+____
Answer:
7, -10, -2
Step-by-step explanation:
A rectangle garden that measures 6 feet by 8 feet is roped off to form a right triangle
Answer:
6•8=48
48/2=24 ft
Step-by-step explanation:
The right triangle is half of the rectangle